TSTP Solution File: GRP183-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:56 EDT 2022
% Result : Unsatisfiable 100.76s 101.21s
% Output : Refutation 100.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.11 % Command : bliksem %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Tue Jun 14 04:13:12 EDT 2022
% 0.11/0.31 % CPUTime :
% 100.76/101.21 *** allocated 10000 integers for termspace/termends
% 100.76/101.21 *** allocated 10000 integers for clauses
% 100.76/101.21 *** allocated 10000 integers for justifications
% 100.76/101.21 Bliksem 1.12
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Automatic Strategy Selection
% 100.76/101.21
% 100.76/101.21 Clauses:
% 100.76/101.21 [
% 100.76/101.21 [ =( multiply( identity, X ), X ) ],
% 100.76/101.21 [ =( multiply( inverse( X ), X ), identity ) ],
% 100.76/101.21 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 100.76/101.21 ],
% 100.76/101.21 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 100.76/101.21 ,
% 100.76/101.21 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 100.76/101.21 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 100.76/101.21 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 100.76/101.21 [ =( 'least_upper_bound'( X, X ), X ) ],
% 100.76/101.21 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 100.76/101.21 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 100.76/101.21 ,
% 100.76/101.21 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 100.76/101.21 ,
% 100.76/101.21 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 100.76/101.21 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.76/101.21 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.76/101.21 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 100.76/101.21 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.76/101.21 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.76/101.21 [ =( inverse( identity ), identity ) ],
% 100.76/101.21 [ =( inverse( inverse( X ) ), X ) ],
% 100.76/101.21 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 100.76/101.21 ) ],
% 100.76/101.21 [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a, identity ),
% 100.76/101.21 'least_upper_bound'( inverse( a ), identity ) ), identity ) ) ]
% 100.76/101.21 ] .
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 percentage equality = 1.000000, percentage horn = 1.000000
% 100.76/101.21 This is a pure equality problem
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Options Used:
% 100.76/101.21
% 100.76/101.21 useres = 1
% 100.76/101.21 useparamod = 1
% 100.76/101.21 useeqrefl = 1
% 100.76/101.21 useeqfact = 1
% 100.76/101.21 usefactor = 1
% 100.76/101.21 usesimpsplitting = 0
% 100.76/101.21 usesimpdemod = 5
% 100.76/101.21 usesimpres = 3
% 100.76/101.21
% 100.76/101.21 resimpinuse = 1000
% 100.76/101.21 resimpclauses = 20000
% 100.76/101.21 substype = eqrewr
% 100.76/101.21 backwardsubs = 1
% 100.76/101.21 selectoldest = 5
% 100.76/101.21
% 100.76/101.21 litorderings [0] = split
% 100.76/101.21 litorderings [1] = extend the termordering, first sorting on arguments
% 100.76/101.21
% 100.76/101.21 termordering = kbo
% 100.76/101.21
% 100.76/101.21 litapriori = 0
% 100.76/101.21 termapriori = 1
% 100.76/101.21 litaposteriori = 0
% 100.76/101.21 termaposteriori = 0
% 100.76/101.21 demodaposteriori = 0
% 100.76/101.21 ordereqreflfact = 0
% 100.76/101.21
% 100.76/101.21 litselect = negord
% 100.76/101.21
% 100.76/101.21 maxweight = 15
% 100.76/101.21 maxdepth = 30000
% 100.76/101.21 maxlength = 115
% 100.76/101.21 maxnrvars = 195
% 100.76/101.21 excuselevel = 1
% 100.76/101.21 increasemaxweight = 1
% 100.76/101.21
% 100.76/101.21 maxselected = 10000000
% 100.76/101.21 maxnrclauses = 10000000
% 100.76/101.21
% 100.76/101.21 showgenerated = 0
% 100.76/101.21 showkept = 0
% 100.76/101.21 showselected = 0
% 100.76/101.21 showdeleted = 0
% 100.76/101.21 showresimp = 1
% 100.76/101.21 showstatus = 2000
% 100.76/101.21
% 100.76/101.21 prologoutput = 1
% 100.76/101.21 nrgoals = 5000000
% 100.76/101.21 totalproof = 1
% 100.76/101.21
% 100.76/101.21 Symbols occurring in the translation:
% 100.76/101.21
% 100.76/101.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 100.76/101.21 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 100.76/101.21 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 100.76/101.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.76/101.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.76/101.21 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 100.76/101.21 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 100.76/101.21 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 100.76/101.21 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 100.76/101.21 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 100.76/101.21 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Starting Search:
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 24116
% 100.76/101.21 Kept: 2004
% 100.76/101.21 Inuse: 200
% 100.76/101.21 Deleted: 11
% 100.76/101.21 Deletedinuse: 3
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 100844
% 100.76/101.21 Kept: 4069
% 100.76/101.21 Inuse: 431
% 100.76/101.21 Deleted: 28
% 100.76/101.21 Deletedinuse: 3
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 183885
% 100.76/101.21 Kept: 6075
% 100.76/101.21 Inuse: 629
% 100.76/101.21 Deleted: 73
% 100.76/101.21 Deletedinuse: 35
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 308263
% 100.76/101.21 Kept: 8083
% 100.76/101.21 Inuse: 789
% 100.76/101.21 Deleted: 106
% 100.76/101.21 Deletedinuse: 67
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 734928
% 100.76/101.21 Kept: 10088
% 100.76/101.21 Inuse: 1164
% 100.76/101.21 Deleted: 161
% 100.76/101.21 Deletedinuse: 67
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 1832641
% 100.76/101.21 Kept: 12095
% 100.76/101.21 Inuse: 1724
% 100.76/101.21 Deleted: 248
% 100.76/101.21 Deletedinuse: 67
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 2015778
% 100.76/101.21 Kept: 14216
% 100.76/101.21 Inuse: 1838
% 100.76/101.21 Deleted: 270
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 2099181
% 100.76/101.21 Kept: 16293
% 100.76/101.21 Inuse: 1883
% 100.76/101.21 Deleted: 272
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 2270019
% 100.76/101.21 Kept: 18294
% 100.76/101.21 Inuse: 1953
% 100.76/101.21 Deleted: 272
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying clauses:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 2472473
% 100.76/101.21 Kept: 20310
% 100.76/101.21 Inuse: 2028
% 100.76/101.21 Deleted: 2088
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 2834524
% 100.76/101.21 Kept: 22311
% 100.76/101.21 Inuse: 2162
% 100.76/101.21 Deleted: 2088
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 3278881
% 100.76/101.21 Kept: 24319
% 100.76/101.21 Inuse: 2337
% 100.76/101.21 Deleted: 2088
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 3957333
% 100.76/101.21 Kept: 26332
% 100.76/101.21 Inuse: 2586
% 100.76/101.21 Deleted: 2092
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 4863117
% 100.76/101.21 Kept: 28340
% 100.76/101.21 Inuse: 2899
% 100.76/101.21 Deleted: 2094
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 6502726
% 100.76/101.21 Kept: 30346
% 100.76/101.21 Inuse: 3345
% 100.76/101.21 Deleted: 2118
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 9605285
% 100.76/101.21 Kept: 32346
% 100.76/101.21 Inuse: 3985
% 100.76/101.21 Deleted: 2118
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 14050508
% 100.76/101.21 Kept: 34359
% 100.76/101.21 Inuse: 4937
% 100.76/101.21 Deleted: 2154
% 100.76/101.21 Deletedinuse: 68
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 18315559
% 100.76/101.21 Kept: 36359
% 100.76/101.21 Inuse: 5699
% 100.76/101.21 Deleted: 2316
% 100.76/101.21 Deletedinuse: 209
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 Intermediate Status:
% 100.76/101.21 Generated: 26636209
% 100.76/101.21 Kept: 38366
% 100.76/101.21 Inuse: 6769
% 100.76/101.21 Deleted: 2380
% 100.76/101.21 Deletedinuse: 241
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21 Done
% 100.76/101.21
% 100.76/101.21 Resimplifying inuse:
% 100.76/101.21
% 100.76/101.21 Bliksems!, er is een bewijs:
% 100.76/101.21 % SZS status Unsatisfiable
% 100.76/101.21 % SZS output start Refutation
% 100.76/101.21
% 100.76/101.21 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.76/101.21 , Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.76/101.21 X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.76/101.21 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.76/101.21 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.76/101.21 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.21 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.76/101.21 identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 100.76/101.21 identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.76/101.21 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 100.76/101.21 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 100.76/101.21 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 51, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( Z, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.76/101.21 'least_upper_bound'( Y, Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.21 identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 100.76/101.21 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 100.76/101.21 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 100.76/101.21 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.76/101.21 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 100.76/101.21 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 100.76/101.21 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.21 'least_upper_bound'( identity, Y ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.76/101.21 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.76/101.21 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 100.76/101.21 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.76/101.21 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.76/101.21 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.21 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 100.76/101.21 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 100.76/101.21 inverse( Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.76/101.21 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.21 inverse( Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.76/101.21 Y ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.76/101.21 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 100.76/101.21 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.76/101.21 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.21 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 201, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 100.76/101.21 ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 244, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 322, [ =( multiply( inverse( 'greatest_lower_bound'( Z, Y ) ), X )
% 100.76/101.21 , multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.21 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 454, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.76/101.21 , Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.76/101.21 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.21 identity, Y ), X ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 473, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 100.76/101.21 identity, Y ), X ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 474, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.76/101.21 X, identity ), Y ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.76/101.21 , identity ), Y ), Y ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 509, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.76/101.21 X, identity ), Y ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 517, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 529, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 100.76/101.21 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ), X
% 100.76/101.21 ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 537, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 100.76/101.21 multiply( 'least_upper_bound'( Y, identity ), X ) ),
% 100.76/101.21 'greatest_lower_bound'( X, Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 541, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.21 multiply( 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( Z,
% 100.76/101.21 Y ) ) ), 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.21 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.76/101.21 ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 556, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 100.76/101.21 , identity ), X ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 563, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.21 identity, X ), Y ), Y ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 585, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.21 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 100.76/101.21 ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 590, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.21 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 591, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 100.76/101.21 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 100.76/101.21 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 635, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.21 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.76/101.21 , Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 100.76/101.21 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 724, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 100.76/101.21 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 100.76/101.21 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 900, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.76/101.21 inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 100.76/101.21 identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 912, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 100.76/101.21 X, Y ), 'greatest_lower_bound'( Z, identity ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 919, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 100.76/101.21 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.21 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 983, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.76/101.21 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 994, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y )
% 100.76/101.21 ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1014, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 100.76/101.21 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.76/101.21 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.76/101.21 )
% 100.76/101.21 .
% 100.76/101.21 clause( 1018, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 100.76/101.21 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1185, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 100.76/101.21 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1197, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.21 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1198, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.21 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1199, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.21 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1252, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 100.76/101.21 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 100.76/101.21 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1298, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X, Y
% 100.76/101.21 ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 100.76/101.21 , identity ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.76/101.21 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1309, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.21 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1314, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.21 identity, X ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1315, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.21 identity ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1326, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 100.76/101.21 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 100.76/101.21 identity, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.21 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1540, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 100.76/101.21 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 100.76/101.21 )
% 100.76/101.21 .
% 100.76/101.21 clause( 1554, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 identity, X ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1580, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 100.76/101.21 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1676, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.76/101.21 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.21 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.76/101.21 ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1769, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.76/101.21 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1888, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.76/101.21 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1889, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 100.76/101.21 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 1896, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 100.76/101.21 )
% 100.76/101.21 .
% 100.76/101.21 clause( 1922, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2001, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( Z
% 100.76/101.21 , multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2156, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 100.76/101.21 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.21 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2308, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 100.76/101.21 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2331, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 100.76/101.21 , T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 100.76/101.21 ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.76/101.21 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.76/101.21 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.21 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.21 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.21 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.21 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.76/101.21 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.21 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4752, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.21 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4781, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 Y, inverse( X ) ) ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4795, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.76/101.21 , inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X )
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4802, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 inverse( Y ), X ) ), Y ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4821, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 100.76/101.21 Y ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4827, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.76/101.21 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5315, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.21 inverse( X ) ) ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.76/101.21 , inverse( Y ) ) ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.21 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.76/101.21 ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 5796, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.76/101.21 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 100.76/101.21 Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.76/101.21 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 11596, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 100.76/101.21 , X ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 11944, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.21 X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 11951, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 100.76/101.21 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12342, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 100.76/101.21 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.76/101.21 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.76/101.21 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12365, [ =( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.21 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 100.76/101.21 , identity ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12379, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.21 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12383, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.21 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12405, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.21 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12421, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.21 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.21 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12516, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.21 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.21 identity ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12518, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 100.76/101.21 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12547, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.21 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 12726, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13057, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13269, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13445, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13545, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.21 X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13708, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.21 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13838, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.21 inverse( X ), X ) ), identity ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 13856, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.21 inverse( X ), X ), Y ), Y ), Y ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 15222, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 100.76/101.21 X, X ), identity ), X ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 15397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 15488, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 17348, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 37723, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 37763, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.21 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.21 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.76/101.21 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 38821, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 100.76/101.21 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.21 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 38998, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.21 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39012, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.21 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39083, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.76/101.21 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39168, [ =( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.21 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39218, [ =( multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.21 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39289, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.21 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 100.76/101.21 ) ] )
% 100.76/101.21 .
% 100.76/101.21 clause( 39807, [] )
% 100.76/101.21 .
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 % SZS output end Refutation
% 100.76/101.21 found a proof!
% 100.76/101.21
% 100.76/101.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.76/101.21
% 100.76/101.21 initialclauses(
% 100.76/101.21 [ clause( 39809, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , clause( 39810, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , clause( 39811, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39812, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.21 , clause( 39813, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.76/101.21 X ) ) ] )
% 100.76/101.21 , clause( 39814, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.76/101.21 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.76/101.21 )
% 100.76/101.21 , clause( 39815, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39816, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 100.76/101.21 , clause( 39817, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 100.76/101.21 , clause( 39818, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , clause( 39819, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , clause( 39820, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 39821, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 39822, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39823, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39824, [ =( inverse( identity ), identity ) ] )
% 100.76/101.21 , clause( 39825, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 , clause( 39826, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.76/101.21 inverse( X ) ) ) ] )
% 100.76/101.21 , clause( 39827, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.21 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 ] ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , clause( 39809, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , clause( 39810, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39833, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 100.76/101.21 , Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39811, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.76/101.21 , Z ) ) ] )
% 100.76/101.21 , clause( 39833, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 100.76/101.21 X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.76/101.21 X ) ) ] )
% 100.76/101.21 , clause( 39812, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.76/101.21 ] )
% 100.76/101.21 , clause( 39813, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.76/101.21 X ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.76/101.21 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39814, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.76/101.21 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.76/101.21 )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39815, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.76/101.21 ) ] )
% 100.76/101.21 , clause( 39818, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 39819, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39875, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39820, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.76/101.21 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39875, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.21 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39886, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 100.76/101.21 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39821, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 39886, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 100.76/101.21 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39898, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39822, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.76/101.21 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39898, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.21 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39911, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 100.76/101.21 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39823, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 39911, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 100.76/101.21 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.21 , clause( 39824, [ =( inverse( identity ), identity ) ] )
% 100.76/101.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 , clause( 39825, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39956, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.21 multiply( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 39826, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.76/101.21 inverse( X ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , clause( 39956, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.21 multiply( X, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.21 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 , clause( 39827, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.21 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 100.76/101.21 ] )
% 100.76/101.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39975, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.76/101.21 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 39976, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.76/101.21 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 , 0, clause( 39975, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.21 X ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39977, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , clause( 39976, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , clause( 39977, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39978, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 39979, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , 0, clause( 39978, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 100.76/101.21 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39982, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 39979, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 100.76/101.21 ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 39982, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39983, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 39984, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 39983, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39987, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 39984, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 100.76/101.21 , X ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 39987, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39989, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.76/101.21 Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 39992, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 100.76/101.21 , identity ) ) ] )
% 100.76/101.21 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , 0, clause( 39989, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.76/101.21 identity ) ) ] )
% 100.76/101.21 , clause( 39992, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 100.76/101.21 X, identity ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 39997, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.76/101.21 Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40002, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 100.76/101.21 , identity ) ) ] )
% 100.76/101.21 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , 0, clause( 39997, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 100.76/101.21 identity ) ) ] )
% 100.76/101.21 , clause( 40002, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 100.76/101.21 X, identity ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40007, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.76/101.21 Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40012, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 100.76/101.21 ) ) ] )
% 100.76/101.21 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , 0, clause( 40007, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, identity ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.76/101.21 ] )
% 100.76/101.21 , clause( 40012, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 100.76/101.21 Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40017, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40018, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40017, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 100.76/101.21 , Y ), X ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40021, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 40018, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 100.76/101.21 ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 40021, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.21 X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40023, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40026, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, clause( 40023, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.21 Y, X ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40027, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40026, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.76/101.21 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40027, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40029, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40032, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Y ) ) ] )
% 100.76/101.21 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, clause( 40029, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.21 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40033, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40032, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Y ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40033, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 100.76/101.21 , 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40035, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40038, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, clause( 40035, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40039, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40038, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40039, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.21 , 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40040, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40041, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , 0, clause( 40040, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40044, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 40041, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 40044, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40045, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40046, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40045, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40049, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 40046, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 40049, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40051, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40052, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40051, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 X, Y ) ) ) ] )
% 100.76/101.21 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40053, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 100.76/101.21 , clause( 40052, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 100.76/101.21 , clause( 40053, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40055, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40058, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, clause( 40055, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 100.76/101.21 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 100.76/101.21 ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Z, Y ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 100.76/101.21 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 100.76/101.21 , clause( 40058, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40062, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40065, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , 0, clause( 40062, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 100.76/101.21 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 100.76/101.21 ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 100.76/101.21 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 , clause( 40065, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 100.76/101.21 )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40080, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40081, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40080, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 Y, X ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40082, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40081, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 100.76/101.21 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.21 , clause( 40082, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40083, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40084, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40083, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 Y, X ) ) ) ] )
% 100.76/101.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 100.76/101.21 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40087, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 100.76/101.21 ), X ) ] )
% 100.76/101.21 , clause( 40084, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 100.76/101.21 ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.76/101.21 X ) ] )
% 100.76/101.21 , clause( 40087, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.21 X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40089, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , Y ) ) ] )
% 100.76/101.21 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40090, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40089, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.76/101.21 , Y ), Y ) ) ] )
% 100.76/101.21 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40091, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40090, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.21 , clause( 40091, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40093, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40096, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( Z, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, clause( 40093, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, 'greatest_lower_bound'( Z, Y ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 51, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 100.76/101.21 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( Z, X ) ) ] )
% 100.76/101.21 , clause( 40096, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( Z, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40101, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40102, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.76/101.21 , X ), Y ) ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40101, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.21 Y, X ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40103, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , clause( 40102, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.76/101.21 , X ), Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.76/101.21 'least_upper_bound'( Y, Z ) ) ] )
% 100.76/101.21 , clause( 40103, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40105, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40106, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40105, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 100.76/101.21 , Y ), X ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40107, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 100.76/101.21 , clause( 40106, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 100.76/101.21 , clause( 40107, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40108, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40111, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40108, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 100.76/101.21 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 , clause( 40111, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40125, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40130, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40125, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40143, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40130, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 , clause( 40143, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40145, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40155, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 100.76/101.21 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40145, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.21 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40157, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.21 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40155, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'(
% 100.76/101.21 Y, Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40159, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 40157, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.21 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 40159, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 100.76/101.21 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40163, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40176, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , 0, clause( 40163, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40178, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40176, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40179, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40178, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 , clause( 40179, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40183, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 100.76/101.21 ) ) ] )
% 100.76/101.21 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40186, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.21 identity ) ] )
% 100.76/101.21 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , 0, clause( 40183, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 100.76/101.21 ), Y ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 100.76/101.21 )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.21 identity ) ] )
% 100.76/101.21 , clause( 40186, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.21 identity ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40190, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40191, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 100.76/101.21 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40190, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40193, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 100.76/101.21 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 40191, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 100.76/101.21 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.21 T ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 100.76/101.21 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 40193, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 100.76/101.21 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 100.76/101.21 , T ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40196, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40198, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 100.76/101.21 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40196, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40200, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 100.76/101.21 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 100.76/101.21 , T ) ) ) ) ] )
% 100.76/101.21 , clause( 40198, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 100.76/101.21 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 100.76/101.21 T ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 100.76/101.21 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 100.76/101.21 ) ] )
% 100.76/101.21 , clause( 40200, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 100.76/101.21 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 100.76/101.21 , T ) ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40201, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40203, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40201, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40205, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 100.76/101.21 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, clause( 40203, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 100.76/101.21 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 40205, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 100.76/101.21 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40207, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40209, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.76/101.21 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , 0, clause( 40207, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.76/101.21 , clause( 40209, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 100.76/101.21 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40213, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40215, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.76/101.21 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.21 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , 0, clause( 40213, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.21 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40218, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.76/101.21 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 40215, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.76/101.21 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.76/101.21 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 40218, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 100.76/101.21 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40221, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40224, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 100.76/101.21 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 100.76/101.21 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.21 , 0, clause( 40221, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.21 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40227, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.21 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.21 , clause( 40224, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 100.76/101.21 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 100.76/101.21 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.21 , clause( 40227, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.21 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40228, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , clause( 55, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40230, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 100.76/101.21 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40228, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.21 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40236, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40230, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 100.76/101.21 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40237, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 100.76/101.21 , clause( 40236, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 100.76/101.21 , clause( 40237, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40239, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), Y ) ) ] )
% 100.76/101.21 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40240, [ =( multiply( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'least_upper_bound'( multiply( X, 'least_upper_bound'( Z, Y ) ), T ),
% 100.76/101.21 multiply( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, clause( 40239, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( X, Y ), Z ), Y ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, multiply( X, Z ) ), :=( Y, multiply( X, Y ) ),
% 100.76/101.21 :=( Z, T )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40241, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 100.76/101.21 X, 'least_upper_bound'( Z, Y ) ), T ), multiply( X, Y ) ), multiply( X, Y
% 100.76/101.21 ) ) ] )
% 100.76/101.21 , clause( 40240, [ =( multiply( X, Y ), 'greatest_lower_bound'(
% 100.76/101.21 'least_upper_bound'( multiply( X, 'least_upper_bound'( Z, Y ) ), T ),
% 100.76/101.21 multiply( X, Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X,
% 100.76/101.21 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z )
% 100.76/101.21 ) ] )
% 100.76/101.21 , clause( 40241, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 100.76/101.21 X, 'least_upper_bound'( Z, Y ) ), T ), multiply( X, Y ) ), multiply( X, Y
% 100.76/101.21 ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40243, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 100.76/101.21 , X ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40248, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.21 , Z ) ) ) ] )
% 100.76/101.21 , clause( 83, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 100.76/101.21 , 0, clause( 40243, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.76/101.21 , Y ), X ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.21 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 100.76/101.21 ), Z ) ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40249, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X, Y )
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40248, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X
% 100.76/101.21 , Y ), Z ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) )
% 100.76/101.21 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40251, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Y
% 100.76/101.21 ), Z ) ) ] )
% 100.76/101.21 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40249, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X
% 100.76/101.21 , Y ) ), Z ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40252, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.76/101.21 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.21 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.21 , 0, clause( 40251, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.21 Z ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 100.76/101.21 ), Y ), Z ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.21 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , clause( 40252, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 100.76/101.21 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40253, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.21 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40255, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.21 , X ) ) ] )
% 100.76/101.21 , 0, clause( 40253, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40257, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.21 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, clause( 40255, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 40257, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40258, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40260, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.21 ) ] )
% 100.76/101.21 , 0, clause( 40258, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.21 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40262, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.76/101.21 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, clause( 40260, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.21 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.21 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.21 , clause( 40262, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.76/101.21 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40264, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40266, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 100.76/101.21 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.21 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , 0, clause( 40264, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40269, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 100.76/101.21 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.76/101.21 , clause( 40266, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 100.76/101.21 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 100.76/101.21 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.76/101.21 , clause( 40269, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 100.76/101.21 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40272, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40273, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 100.76/101.21 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , 0, clause( 40272, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 100.76/101.21 identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40275, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.21 'least_upper_bound'( identity, X ), Y ) ) ] )
% 100.76/101.21 , clause( 40273, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 100.76/101.21 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.21 'least_upper_bound'( identity, Y ), X ) ) ] )
% 100.76/101.21 , clause( 40275, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.21 'least_upper_bound'( identity, X ), Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40278, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.21 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40280, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.21 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , 0, clause( 40278, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, identity )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40282, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 100.76/101.21 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.21 , clause( 40280, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.76/101.21 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.76/101.21 , clause( 40282, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 100.76/101.21 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40284, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 100.76/101.21 inverse( Y ) ) ) ] )
% 100.76/101.21 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.76/101.21 , identity ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40287, [ =( multiply( X, identity ), multiply( identity, inverse(
% 100.76/101.21 inverse( X ) ) ) ) ] )
% 100.76/101.21 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.21 , 0, clause( 40284, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 100.76/101.21 ), inverse( Y ) ) ) ] )
% 100.76/101.21 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, inverse( X ) )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40288, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 100.76/101.21 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.21 , 0, clause( 40287, [ =( multiply( X, identity ), multiply( identity,
% 100.76/101.21 inverse( inverse( X ) ) ) ) ] )
% 100.76/101.21 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 100.76/101.21 substitution( 1, [ :=( X, X )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40289, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.21 , 0, clause( 40288, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 100.76/101.21 ] )
% 100.76/101.21 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.21 ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , clause( 40289, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40292, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.21 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40293, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.21 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , 0, clause( 40292, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, identity ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40295, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , clause( 40293, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 100.76/101.21 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , clause( 40295, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 100.76/101.21 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40298, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.21 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40300, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , 0, clause( 40298, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, identity )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40302, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , clause( 40300, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.76/101.21 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.21 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , clause( 40302, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.76/101.21 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40304, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40305, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.21 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , 0, clause( 40304, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, identity ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40307, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.21 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , clause( 40305, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.21 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.76/101.21 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , clause( 40307, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.21 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40310, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.76/101.21 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40312, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , 0, clause( 40310, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, identity )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40314, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 100.76/101.21 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , clause( 40312, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 100.76/101.21 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 100.76/101.21 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , clause( 40314, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.21 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.21 )] ) ).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 eqswap(
% 100.76/101.21 clause( 40316, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.21 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40318, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.76/101.21 , inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.76/101.21 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.76/101.21 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.76/101.21 , identity ) ) ] )
% 100.76/101.21 , 0, clause( 40316, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.21 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.21 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 paramod(
% 100.76/101.21 clause( 40322, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.76/101.21 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.21 ) ) ] )
% 100.76/101.21 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.21 , 0, clause( 40318, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 100.76/101.21 , Z ), inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.76/101.21 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.76/101.21 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.21 :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.21
% 100.76/101.21
% 100.76/101.21 subsumption(
% 100.76/101.21 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.76/101.21 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.76/101.21 ) ] )
% 100.76/101.21 , clause( 40322, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 100.76/101.21 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 100.76/101.21 ) ) ) ] )
% 100.76/101.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40324, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.22 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40326, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.22 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.22 , X ) ) ] )
% 100.76/101.22 , 0, clause( 40324, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40328, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.22 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40326, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , clause( 40328, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40330, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.22 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40331, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 100.76/101.22 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40330, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 100.76/101.22 identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40333, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.76/101.22 , clause( 40331, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 100.76/101.22 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , clause( 40333, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40336, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40338, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 100.76/101.22 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 100.76/101.22 multiply( Z, Y ) ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40336, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, inverse( Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40340, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 100.76/101.22 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 100.76/101.22 Y ) ), inverse( Z ) ) ) ] )
% 100.76/101.22 , clause( 40338, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 100.76/101.22 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 100.76/101.22 multiply( Z, Y ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 100.76/101.22 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 40340, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 100.76/101.22 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 100.76/101.22 Y ) ), inverse( Z ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40342, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.76/101.22 Y, Z ) ) ) ] )
% 100.76/101.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40346, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) ),
% 100.76/101.22 multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40342, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.76/101.22 multiply( Y, Z ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, inverse( Z ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.76/101.22 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 40346, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) )
% 100.76/101.22 , multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40350, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40351, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.76/101.22 inverse( X ) ) ) ] )
% 100.76/101.22 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.22 , 0, clause( 40350, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.76/101.22 ), inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.22 Y ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 40351, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.76/101.22 inverse( X ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40356, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40358, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.22 , 0, clause( 40356, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.76/101.22 ), inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.22 :=( Y, inverse( X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.76/101.22 Y ), X ) ) ] )
% 100.76/101.22 , clause( 40358, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40362, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40368, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 100.76/101.22 multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40362, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.76/101.22 ), inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, Z ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40369, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 100.76/101.22 multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 100.76/101.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40368, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z
% 100.76/101.22 ) ), multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, Y ), :=( Z,
% 100.76/101.22 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40370, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.76/101.22 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.76/101.22 , clause( 40369, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) )
% 100.76/101.22 , multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.76/101.22 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.76/101.22 , clause( 40370, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) )
% 100.76/101.22 , inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40372, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ) ] )
% 100.76/101.22 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40378, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.76/101.22 multiply( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.76/101.22 , identity ) ) ] )
% 100.76/101.22 , 0, clause( 40372, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 100.76/101.22 , inverse( Y ) ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40379, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40378, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 100.76/101.22 inverse( multiply( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 40379, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.76/101.22 Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40381, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40386, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.76/101.22 inverse( inverse( Y ) ) ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, clause( 40381, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.76/101.22 ) ) ) ) ] )
% 100.76/101.22 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40387, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 100.76/101.22 Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.22 multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40386, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 100.76/101.22 ), inverse( inverse( Y ) ) ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 100.76/101.22 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40388, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40387, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 100.76/101.22 multiply( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40389, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40388, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.76/101.22 Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 40389, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 100.76/101.22 X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40391, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.22 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.22 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40392, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 100.76/101.22 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, clause( 40391, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 100.76/101.22 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 40392, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 100.76/101.22 X, Z ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40397, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.22 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.76/101.22 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40399, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.76/101.22 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.76/101.22 Z ) ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, clause( 40397, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.76/101.22 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.76/101.22 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40399, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.76/101.22 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.76/101.22 Z ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40402, [ ~( =( identity, 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( a, identity ), 'least_upper_bound'( inverse( a ),
% 100.76/101.22 identity ) ) ) ) ] )
% 100.76/101.22 , clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.22 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, substitution( 0, [] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40404, [ ~( =( identity, 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( a, identity ), 'least_upper_bound'( identity,
% 100.76/101.22 inverse( a ) ) ) ) ) ] )
% 100.76/101.22 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.22 ) ] )
% 100.76/101.22 , 0, clause( 40402, [ ~( =( identity, 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( a, identity ), 'least_upper_bound'( inverse( a ),
% 100.76/101.22 identity ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, identity )] ),
% 100.76/101.22 substitution( 1, [] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40410, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.22 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40404, [ ~( =( identity, 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( a, identity ), 'least_upper_bound'( identity,
% 100.76/101.22 inverse( a ) ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.22 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40410, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.22 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 100.76/101.22 ] )
% 100.76/101.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40413, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 100.76/101.22 Y, identity ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.22 :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.76/101.22 , clause( 40413, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40416, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.76/101.22 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40417, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 100.76/101.22 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.76/101.22 , 0, clause( 40416, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 201, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 100.76/101.22 ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 40417, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 100.76/101.22 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40422, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40431, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40422, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40433, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40431, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 100.76/101.22 , Y ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40435, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40433, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40435, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.22 ), 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40437, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40440, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 100.76/101.22 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 100.76/101.22 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40437, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.76/101.22 ) ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40443, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, clause( 40440, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.22 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 100.76/101.22 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 40443, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40444, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40446, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 100.76/101.22 inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ] )
% 100.76/101.22 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40444, [ =( identity, multiply( X, inverse( multiply( X,
% 100.76/101.22 identity ) ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40448, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40446, [ =( identity, multiply( 'greatest_lower_bound'( Y, X )
% 100.76/101.22 , inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40449, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40448, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40449, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40450, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40453, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 100.76/101.22 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 100.76/101.22 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40450, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.76/101.22 ) ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40456, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 100.76/101.22 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, clause( 40453, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 100.76/101.22 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 100.76/101.22 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 100.76/101.22 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 244, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 40456, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 100.76/101.22 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40457, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40459, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.76/101.22 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.76/101.22 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40457, [ =( identity, multiply( X, inverse( multiply( X,
% 100.76/101.22 identity ) ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.76/101.22 'least_upper_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40461, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.76/101.22 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40459, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.76/101.22 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40462, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.76/101.22 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40461, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.76/101.22 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40462, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.76/101.22 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40463, [ =( multiply( inverse( Y ), X ), inverse( multiply( inverse(
% 100.76/101.22 X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40466, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Z
% 100.76/101.22 ), inverse( multiply( inverse( Z ), 'greatest_lower_bound'( Y, X ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40463, [ =( multiply( inverse( Y ), X ), inverse( multiply(
% 100.76/101.22 inverse( X ), Y ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, X ), :=( Z, Y )] )
% 100.76/101.22 , substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40469, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Z
% 100.76/101.22 ), multiply( inverse( 'greatest_lower_bound'( Y, X ) ), Z ) ) ] )
% 100.76/101.22 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40466, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 ), Z ), inverse( multiply( inverse( Z ), 'greatest_lower_bound'( Y, X )
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( Y, X
% 100.76/101.22 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 322, [ =( multiply( inverse( 'greatest_lower_bound'( Z, Y ) ), X )
% 100.76/101.22 , multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), X ) ) ] )
% 100.76/101.22 , clause( 40469, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.22 Z ), multiply( inverse( 'greatest_lower_bound'( Y, X ) ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40470, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40471, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , clause( 40470, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 100.76/101.22 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , clause( 40471, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40473, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40474, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40475, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.22 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , clause( 40473, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 100.76/101.22 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, clause( 40474, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'greatest_lower_bound'( identity, Y ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40476, [ =( multiply( inverse( 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ), inverse( X ) ) ] )
% 100.76/101.22 , clause( 40475, [ =( inverse( X ), multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 454, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.76/101.22 , Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 100.76/101.22 , clause( 40476, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.22 multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40478, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40512, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( X, identity ) ), identity ) ) ] )
% 100.76/101.22 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , 0, clause( 40478, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40514, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.76/101.22 ), identity ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40512, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( X, identity ) ), identity ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40515, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40514, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.76/101.22 ), identity ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.76/101.22 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40515, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40520, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , X ) ) ] )
% 100.76/101.22 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40521, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40520, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.76/101.22 , Y ), X ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40522, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40521, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40522, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40524, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40525, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40524, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.22 X, Y ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40526, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ), X ) ] )
% 100.76/101.22 , clause( 40525, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 473, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ), X ) ), X ) ] )
% 100.76/101.22 , clause( 40526, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40528, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40530, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 100.76/101.22 multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, clause( 40528, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.22 1, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40531, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40530, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 100.76/101.22 , multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.22 :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40532, [ =( 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.76/101.22 , clause( 40531, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 474, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.76/101.22 X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , clause( 40532, [ =( 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40533, [ =( Y, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.76/101.22 , clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40534, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.76/101.22 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40533, [ =( Y, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40537, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 Y, identity ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40534, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.76/101.22 , identity ), Y ), Y ), Y ) ] )
% 100.76/101.22 , clause( 40537, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 Y, identity ), X ), X ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40539, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.76/101.22 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40541, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 X, identity ), Y ), Y ), 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 X, identity ), Y ), Y ), Y ) ] )
% 100.76/101.22 , 0, clause( 40539, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.76/101.22 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( 'greatest_lower_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40542, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.22 X, identity ), Y ), Y ), Y ) ] )
% 100.76/101.22 , 0, clause( 40541, [ =( 'least_upper_bound'( multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ), Y ), 'least_upper_bound'( Y,
% 100.76/101.22 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40544, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.76/101.22 , clause( 40542, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 509, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.76/101.22 X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , clause( 40544, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40547, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 100.76/101.22 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40550, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40547, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40556, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40550, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 517, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.22 , clause( 40556, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40559, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 509, [ =( 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40560, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.22 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40559, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.76/101.22 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 100.76/101.22 ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40561, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 40560, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.22 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 40561, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40562, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ) ] )
% 100.76/101.22 , clause( 473, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ), X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40563, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40564, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( multiply( 'greatest_lower_bound'( identity, Z ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ), X ), Y ) ) ] )
% 100.76/101.22 , clause( 40563, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X )
% 100.76/101.22 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40562, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Y ), X ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'(
% 100.76/101.22 identity, Z ), 'least_upper_bound'( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )
% 100.76/101.22 , substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40565, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'( identity, Z ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ), X ) ) ] )
% 100.76/101.22 , clause( 40563, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X )
% 100.76/101.22 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40564, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( multiply( 'greatest_lower_bound'( identity, Z ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ), X ), Y ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ),
% 100.76/101.22 :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40568, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ), X
% 100.76/101.22 ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40565, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'( identity, Z ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 529, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ), X
% 100.76/101.22 ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40568, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 100.76/101.22 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ), X
% 100.76/101.22 ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40571, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 100.76/101.22 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40585, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( Z, X ), multiply( 'least_upper_bound'( Y,
% 100.76/101.22 identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 474, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , 0, clause( 40571, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 100.76/101.22 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, Z ), :=( Y, X ), :=( Z, multiply( 'least_upper_bound'( Y, identity
% 100.76/101.22 ), X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40589, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 100.76/101.22 , multiply( 'least_upper_bound'( Z, identity ), X ) ),
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40585, [ =( 'greatest_lower_bound'( X, Z ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 537, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 100.76/101.22 multiply( 'least_upper_bound'( Y, identity ), X ) ),
% 100.76/101.22 'greatest_lower_bound'( X, Z ) ) ] )
% 100.76/101.22 , clause( 40589, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 100.76/101.22 ), multiply( 'least_upper_bound'( Z, identity ), X ) ),
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40592, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 474, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40593, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), multiply( 'least_upper_bound'( Z,
% 100.76/101.22 identity ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40592, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( Z, identity ) ),
% 100.76/101.22 :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X,
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40596, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , multiply( 'least_upper_bound'( Z, identity ), 'greatest_lower_bound'( Y
% 100.76/101.22 , X ) ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40593, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), multiply(
% 100.76/101.22 'least_upper_bound'( Z, identity ), 'greatest_lower_bound'( Y, X ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 541, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.22 multiply( 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( Z,
% 100.76/101.22 Y ) ) ), 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.22 , clause( 40596, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.22 ), multiply( 'least_upper_bound'( Z, identity ), 'greatest_lower_bound'(
% 100.76/101.22 Y, X ) ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40598, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 474, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40599, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40598, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.76/101.22 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 100.76/101.22 , :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40600, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40599, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40600, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40601, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , clause( 474, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40602, [ =( X, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ), X ) ) ] )
% 100.76/101.22 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.22 , X ) ) ] )
% 100.76/101.22 , 0, clause( 40601, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'least_upper_bound'(
% 100.76/101.22 Y, identity ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40605, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 Y, identity ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40602, [ =( X, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 556, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( Y
% 100.76/101.22 , identity ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40605, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 Y, identity ), X ), X ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40606, [ =( Y, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 100.76/101.22 , clause( 556, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 Y, identity ), X ), X ), X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40607, [ =( X, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 100.76/101.22 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40606, [ =( Y, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ), Y ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40610, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , clause( 40607, [ =( X, 'greatest_lower_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( identity, Y ), X ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 563, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, X ), Y ), Y ), Y ) ] )
% 100.76/101.22 , clause( 40610, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, Y ), X ), X ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40612, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40615, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 563, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, X ), Y ), Y ), Y ) ] )
% 100.76/101.22 , 0, clause( 40612, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.22 X, Y ) ) ) ] )
% 100.76/101.22 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( 'least_upper_bound'( identity, X ), Y ) ), :=( Y, Y )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40616, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40615, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 585, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40616, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40619, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 517, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.22 , 0, clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X )
% 100.76/101.22 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, Z ), :=( Z,
% 100.76/101.22 'greatest_lower_bound'( X, Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 590, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 40619, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40621, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40624, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , clause( 517, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.22 , 0, clause( 40621, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 100.76/101.22 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, 'greatest_lower_bound'( X
% 100.76/101.22 , Y ) ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40625, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 100.76/101.22 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , clause( 590, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40624, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.22 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 591, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 100.76/101.22 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , clause( 40625, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 Z ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40626, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 100.76/101.22 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 591, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 100.76/101.22 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 100.76/101.22 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 40626, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.22 Z ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40630, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 100.76/101.22 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 100.76/101.22 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40633, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.22 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.22 ) ] )
% 100.76/101.22 , 0, clause( 40630, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y
% 100.76/101.22 , X ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z, Y ) ), :=( Y,
% 100.76/101.22 X )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 635, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.22 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 40633, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 100.76/101.22 ) ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40636, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40637, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40638, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.22 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 40636, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X )
% 100.76/101.22 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, clause( 40637, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'greatest_lower_bound'( Y, identity ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40639, [ =( multiply( inverse( 'greatest_lower_bound'( X, multiply(
% 100.76/101.22 Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.76/101.22 , clause( 40638, [ =( inverse( X ), multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.22 Y, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.76/101.22 , Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.22 , clause( 40639, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.22 multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40641, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40675, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( X, identity ) ), identity ) ) ] )
% 100.76/101.22 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , 0, clause( 40641, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40677, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.76/101.22 ), identity ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40675, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( X, identity ) ), identity ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40678, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40677, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.76/101.22 ), identity ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40678, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40683, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40698, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X,
% 100.76/101.22 multiply( Y, identity ) ) ) ) ] )
% 100.76/101.22 , clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40683, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, identity )] ), substitution(
% 100.76/101.22 1, [ :=( X, X ), :=( Y, multiply( Y, identity ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40701, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( multiply(
% 100.76/101.22 X, Y ), identity ) ) ) ] )
% 100.76/101.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40698, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X,
% 100.76/101.22 multiply( Y, identity ) ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40704, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40701, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( multiply(
% 100.76/101.22 X, Y ), identity ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 100.76/101.22 , [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40706, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), identity ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40704, [ =( multiply( X, multiply( 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ), identity ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y
% 100.76/101.22 , Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40707, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40706, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), identity ), 'greatest_lower_bound'( X, multiply( X, Y ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40708, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 40707, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.76/101.22 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 724, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 100.76/101.22 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , clause( 40708, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 100.76/101.22 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40709, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40711, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.76/101.22 , X ) ) ] )
% 100.76/101.22 , 0, clause( 40709, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.22 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , clause( 40711, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 100.76/101.22 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40719, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40723, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40719, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 100.76/101.22 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40723, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40727, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40731, [ =( identity, multiply( 'greatest_lower_bound'( multiply( X
% 100.76/101.22 , Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 724, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 100.76/101.22 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 40727, [ =( identity, multiply( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40733, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X )
% 100.76/101.22 , inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , clause( 40731, [ =( identity, multiply( 'greatest_lower_bound'( multiply(
% 100.76/101.22 X, Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity )
% 100.76/101.22 ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 900, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.76/101.22 inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , clause( 40733, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X
% 100.76/101.22 ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 100.76/101.22 identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40735, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 100.76/101.22 , clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40736, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 724, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 100.76/101.22 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 40735, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y
% 100.76/101.22 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), Z ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40738, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , clause( 40736, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 912, [ =( 'least_upper_bound'( X, multiply( 'greatest_lower_bound'(
% 100.76/101.22 X, Y ), 'greatest_lower_bound'( Z, identity ) ) ), X ) ] )
% 100.76/101.22 , clause( 40738, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40741, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.76/101.22 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 724, [ =( 'greatest_lower_bound'( Y, multiply( Y, X ) ), multiply(
% 100.76/101.22 Y, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40745, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 100.76/101.22 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40741, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 100.76/101.22 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 919, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 100.76/101.22 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40745, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 100.76/101.22 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40760, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.22 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , clause( 40760, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.22 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40762, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40763, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 40762, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 100.76/101.22 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 983, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.76/101.22 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 40763, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 100.76/101.22 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40766, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y
% 100.76/101.22 ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 100.76/101.22 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 244, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 994, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y )
% 100.76/101.22 ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 100.76/101.22 , clause( 40766, [ =( inverse( multiply( X, 'least_upper_bound'( identity,
% 100.76/101.22 Y ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40768, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40770, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.76/101.22 ) ] )
% 100.76/101.22 , 0, clause( 40768, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , clause( 40770, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40778, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40782, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40778, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1014, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 100.76/101.22 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40782, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 100.76/101.22 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40787, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 100.76/101.22 Y, identity ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.22 :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.22 , clause( 40787, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40790, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.22 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40792, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 100.76/101.22 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.22 , 0, clause( 40790, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.76/101.22 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 40792, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 100.76/101.22 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 100.76/101.22 ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40795, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 983, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40796, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40797, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 100.76/101.22 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.22 , clause( 40795, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 100.76/101.22 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40796, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40798, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 100.76/101.22 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 100.76/101.22 , clause( 40797, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 100.76/101.22 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1018, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 100.76/101.22 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 100.76/101.22 , clause( 40798, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 100.76/101.22 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40800, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.76/101.22 , X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.76/101.22 'least_upper_bound'( Y, Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40803, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40800, [ =( 'least_upper_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40809, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , clause( 40803, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.76/101.22 , clause( 40809, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40812, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 100.76/101.22 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 100.76/101.22 , clause( 155, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 244, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1185, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 100.76/101.22 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 100.76/101.22 , clause( 40812, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 100.76/101.22 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40814, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'least_upper_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40835, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 100.76/101.22 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , clause( 983, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 40814, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40837, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , clause( 40835, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 100.76/101.22 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1197, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , clause( 40837, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40839, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'least_upper_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40852, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 100.76/101.22 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 100.76/101.22 X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 983, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, clause( 40839, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.22 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40855, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 100.76/101.22 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40852, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 100.76/101.22 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 100.76/101.22 identity, X ), Y ) ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40857, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.22 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40855, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 100.76/101.22 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40858, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , clause( 40857, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.22 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1198, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , clause( 40858, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40859, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 144, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 100.76/101.22 'least_upper_bound'( identity, Y ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40880, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 100.76/101.22 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.76/101.22 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40859, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40882, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , clause( 40880, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 100.76/101.22 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1199, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , clause( 40882, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40884, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 100.76/101.22 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.22 , clause( 1198, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 244, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1252, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 100.76/101.22 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.22 , clause( 40884, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 100.76/101.22 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40887, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 100.76/101.22 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , clause( 1198, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40891, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40887, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 100.76/101.22 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 100.76/101.22 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , clause( 40891, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40894, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.22 , clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40895, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y,
% 100.76/101.22 X ), identity ), Z ), 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.22 X, Y ), Z ), Z ) ) ] )
% 100.76/101.22 , clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 40894, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 100.76/101.22 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.22 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40898, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( Y,
% 100.76/101.22 X ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.22 , identity ), Z ) ) ] )
% 100.76/101.22 , clause( 40895, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y
% 100.76/101.22 , X ), identity ), Z ), 'least_upper_bound'( multiply(
% 100.76/101.22 'least_upper_bound'( X, Y ), Z ), Z ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1298, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X, Y
% 100.76/101.22 ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 100.76/101.22 , identity ), Z ) ) ] )
% 100.76/101.22 , clause( 40898, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( Y
% 100.76/101.22 , X ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( X, Y
% 100.76/101.22 ), identity ), Z ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40899, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.22 , clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.76/101.22 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40900, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40901, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 100.76/101.22 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , clause( 40899, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40900, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40902, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 100.76/101.22 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.76/101.22 , clause( 40901, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 100.76/101.22 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.76/101.22 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.22 , clause( 40902, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 100.76/101.22 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40904, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40906, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.22 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 100.76/101.22 identity ) ) ) ] )
% 100.76/101.22 , clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, clause( 40904, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40907, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 100.76/101.22 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.22 , 0, clause( 40906, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.22 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 100.76/101.22 identity ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40908, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.22 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 100.76/101.22 , clause( 40907, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X
% 100.76/101.22 ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1309, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.22 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 100.76/101.22 , clause( 40908, [ =( multiply( inverse( 'least_upper_bound'( inverse( X )
% 100.76/101.22 , identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40910, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40912, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 100.76/101.22 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 100.76/101.22 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40910, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.22 1, [ :=( X, 'least_upper_bound'( identity, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40913, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40912, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 100.76/101.22 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1314, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40913, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40916, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 100.76/101.22 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.22 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40918, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.22 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.22 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 100.76/101.22 , clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 100.76/101.22 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40916, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.76/101.22 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40919, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.22 identity ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40918, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 100.76/101.22 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1315, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.22 identity ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40919, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.22 , identity ) ), identity ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40922, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40923, [ =( 'least_upper_bound'( identity, Y ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Y, inverse( 'least_upper_bound'( identity, X ) ) ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , clause( 1314, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , 0, clause( 40922, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 100.76/101.22 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.22 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, identity )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40925, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 100.76/101.22 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 100.76/101.22 identity, X ) ) ] )
% 100.76/101.22 , clause( 40923, [ =( 'least_upper_bound'( identity, Y ),
% 100.76/101.22 'least_upper_bound'( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 100.76/101.22 identity, X ) ) ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1326, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 100.76/101.22 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 100.76/101.22 identity, Y ) ) ] )
% 100.76/101.22 , clause( 40925, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 100.76/101.22 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 100.76/101.22 identity, X ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40928, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40929, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 100.76/101.22 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 100.76/101.22 , clause( 1197, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.22 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40928, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40930, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 100.76/101.22 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 100.76/101.22 , clause( 40929, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 100.76/101.22 , X ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.22 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 100.76/101.22 , clause( 40930, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 100.76/101.22 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40932, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 100.76/101.22 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 68, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 100.76/101.22 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40936, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 100.76/101.22 X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply(
% 100.76/101.22 inverse( X ), Z ) ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40932, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 100.76/101.22 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 100.76/101.22 X, T ) ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40938, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 100.76/101.22 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40936, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 100.76/101.22 multiply( X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 100.76/101.22 multiply( inverse( X ), Z ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1540, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 100.76/101.22 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 40938, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 100.76/101.22 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40941, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , clause( 919, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X,
% 100.76/101.22 identity ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40943, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, clause( 40941, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.22 , 0, 12, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.76/101.22 substitution( 1, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40944, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40943, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ), identity ), multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ), 'greatest_lower_bound'( identity
% 100.76/101.22 , X ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 100.76/101.22 , substitution( 1, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1554, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.22 identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40944, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ), identity ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40947, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 100.76/101.22 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 69, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 100.76/101.22 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 100.76/101.22 , Z ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40952, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 100.76/101.22 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.22 multiply( identity, Z ) ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40947, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 100.76/101.22 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 100.76/101.22 ), T ) ) ) ] )
% 100.76/101.22 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40953, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 100.76/101.22 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 40952, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 100.76/101.22 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.22 multiply( identity, Z ) ) ) ] )
% 100.76/101.22 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1580, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 100.76/101.22 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 100.76/101.22 , clause( 40953, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 100.76/101.22 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40956, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40959, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.76/101.22 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.76/101.22 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.76/101.22 , 0, clause( 40956, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40960, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 100.76/101.22 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 40959, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.76/101.22 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1676, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.76/101.22 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40960, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 100.76/101.22 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40961, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.76/101.22 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.76/101.22 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40962, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40963, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.76/101.22 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40961, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.76/101.22 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40962, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40964, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40963, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 100.76/101.22 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 40964, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40966, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.76/101.22 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.22 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.76/101.22 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40968, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 100.76/101.22 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, clause( 40966, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 100.76/101.22 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40969, [ =( identity, 'least_upper_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.22 , 0, clause( 40968, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 100.76/101.22 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40970, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40969, [ =( identity, 'least_upper_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1769, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40970, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 100.76/101.22 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40972, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40973, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.76/101.22 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.76/101.22 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 40972, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.22 X, Y ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40974, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40973, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.76/101.22 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40974, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 100.76/101.22 X ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40976, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.76/101.22 ) ) ) ] )
% 100.76/101.22 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40977, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.22 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , 0, clause( 40976, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.22 Y, X ) ) ) ] )
% 100.76/101.22 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40978, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40977, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1888, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.76/101.22 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , clause( 40978, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 100.76/101.22 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40980, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.76/101.22 , Y ) ) ] )
% 100.76/101.22 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40981, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 100.76/101.22 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.22 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.22 , 0, clause( 40980, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 100.76/101.22 , Y ), Y ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( inverse( X ), Y ) ), :=( Y, identity )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40982, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40981, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1889, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40982, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40984, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , clause( 1888, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40985, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.22 , 0, clause( 40984, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.22 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 100.76/101.22 'least_upper_bound'( Y, X ), Z ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40986, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity )
% 100.76/101.22 ] )
% 100.76/101.22 , clause( 40985, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1896, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 100.76/101.22 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 40986, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 100.76/101.22 X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity
% 100.76/101.22 ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40988, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 100.76/101.22 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 100.76/101.22 , clause( 1889, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 100.76/101.22 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40993, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ),
% 100.76/101.22 identity ) ) ] )
% 100.76/101.22 , clause( 1769, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 100.76/101.22 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.76/101.22 , 0, clause( 40988, [ =( identity, 'greatest_lower_bound'( multiply(
% 100.76/101.22 inverse( X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 100.76/101.22 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), :=( Y
% 100.76/101.22 , identity )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40994, [ =( identity, 'greatest_lower_bound'( inverse( multiply(
% 100.76/101.22 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ) ) ] )
% 100.76/101.22 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.22 , 0, clause( 40993, [ =( identity, 'greatest_lower_bound'( multiply(
% 100.76/101.22 inverse( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ),
% 100.76/101.22 identity ), identity ) ) ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, inverse( multiply( inverse( X ),
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 40995, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), X ), identity ) ) ] )
% 100.76/101.22 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.22 inverse( Y ), X ) ) ] )
% 100.76/101.22 , 0, clause( 40994, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.76/101.22 multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ), identity ) )
% 100.76/101.22 ] )
% 100.76/101.22 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 100.76/101.22 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40996, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40995, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), X ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 1922, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 100.76/101.22 , clause( 40996, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ), identity ), identity ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 40998, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , clause( 210, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 , 'least_upper_bound'( Z, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41002, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ), identity ), 'greatest_lower_bound'(
% 100.76/101.22 identity, 'least_upper_bound'( Z, multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ) ) ) ) ] )
% 100.76/101.22 , clause( 1922, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 100.76/101.22 , 0, clause( 40998, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.22 'least_upper_bound'( Z, X ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ), :=( Y
% 100.76/101.22 , identity ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41003, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.22 'least_upper_bound'( Z, multiply( inverse( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 ), Y ) ) ) ) ] )
% 100.76/101.22 , clause( 1922, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( Y, X ) ), X ), identity ), identity ) ] )
% 100.76/101.22 , 0, clause( 41002, [ =( 'greatest_lower_bound'( multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ), identity ), 'greatest_lower_bound'(
% 100.76/101.22 identity, 'least_upper_bound'( Z, multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( X, Y ) ), Y ) ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41005, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.22 X, multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), Z ) ) ), identity
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 41003, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.22 'least_upper_bound'( Z, multiply( inverse( 'greatest_lower_bound'( X, Y )
% 100.76/101.22 ), Y ) ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 2001, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'( Z
% 100.76/101.22 , multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 41005, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.22 X, multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), Z ) ) ), identity
% 100.76/101.22 ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.22 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41008, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41015, [ =( 'greatest_lower_bound'( inverse( multiply( X, inverse(
% 100.76/101.22 Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply( X,
% 100.76/101.22 inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 41008, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.22 multiply( 'greatest_lower_bound'( X, identity ), inverse( X ) ) ) ] )
% 100.76/101.22 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, multiply( X, inverse( Y ) ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41016, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 100.76/101.22 identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) )
% 100.76/101.22 , identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.22 inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 41015, [ =( 'greatest_lower_bound'( inverse( multiply( X,
% 100.76/101.22 inverse( Y ) ) ), identity ), multiply( 'greatest_lower_bound'( multiply(
% 100.76/101.22 X, inverse( Y ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.22 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41021, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 100.76/101.22 identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 100.76/101.22 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.22 ), Z ) ) ] )
% 100.76/101.22 , 0, clause( 41016, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X )
% 100.76/101.22 ), identity ), multiply( 'greatest_lower_bound'( multiply( X, inverse( Y
% 100.76/101.22 ) ), identity ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.76/101.22 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( multiply( Y,
% 100.76/101.22 inverse( X ) ), identity ) ), :=( Y, X ), :=( Z, inverse( Y ) )] ),
% 100.76/101.22 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41022, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 100.76/101.22 identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity, X )
% 100.76/101.22 ), inverse( Y ) ) ) ] )
% 100.76/101.22 , clause( 201, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 100.76/101.22 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 100.76/101.22 , 0, clause( 41021, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 100.76/101.22 ), identity ), multiply( multiply( 'greatest_lower_bound'( multiply( Y,
% 100.76/101.22 inverse( X ) ), identity ), X ), inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41023, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 100.76/101.22 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.22 , 0, clause( 41022, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y )
% 100.76/101.22 ), identity ), multiply( 'greatest_lower_bound'( Y, multiply( identity,
% 100.76/101.22 X ) ), inverse( Y ) ) ) ] )
% 100.76/101.22 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.22 :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41024, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 100.76/101.22 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , clause( 41023, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 100.76/101.22 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( Y ) ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 2156, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) )
% 100.76/101.22 , 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ] )
% 100.76/101.22 , clause( 41024, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y
% 100.76/101.22 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 100.76/101.22 )
% 100.76/101.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.22 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41026, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.76/101.22 ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41028, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.22 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.22 , 0, clause( 41026, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.76/101.22 ), X ) ) ] )
% 100.76/101.22 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41029, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.22 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.22 , 0, clause( 41028, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.22 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.76/101.22 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.22 ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41030, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.22 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.22 , clause( 41029, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.22 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 subsumption(
% 100.76/101.22 clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.22 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.22 , clause( 41030, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.76/101.22 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 eqswap(
% 100.76/101.22 clause( 41032, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 ) ] )
% 100.76/101.22 , clause( 912, [ =( 'least_upper_bound'( X, multiply(
% 100.76/101.22 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.22 , X ) ] )
% 100.76/101.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.22
% 100.76/101.22
% 100.76/101.22 paramod(
% 100.76/101.22 clause( 41034, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.22 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 multiply( identity, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , clause( 1554, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, X ) ), identity ), identity ) ] )
% 100.76/101.23 , 0, clause( 41032, [ =( X, 'least_upper_bound'( X, multiply(
% 100.76/101.23 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Z, identity ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.23 inverse( 'greatest_lower_bound'( identity, X ) ) ), :=( Y, identity ),
% 100.76/101.23 :=( Z, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41036, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.23 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.23 , 0, clause( 41034, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 multiply( identity, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, identity ) )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41037, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 41036, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 2308, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 41037, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41039, [ =( multiply( X, Z ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, Z ) ), T ),
% 100.76/101.23 multiply( X, Z ) ) ) ] )
% 100.76/101.23 , clause( 84, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply( X
% 100.76/101.23 , 'least_upper_bound'( Y, Z ) ), T ), multiply( X, Z ) ), multiply( X, Z
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41040, [ =( multiply( X, Y ), 'greatest_lower_bound'( multiply(
% 100.76/101.23 'least_upper_bound'( X, T ), 'least_upper_bound'( Z, Y ) ), multiply( X,
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.76/101.23 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41039, [ =( multiply( X, Z ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( multiply( X, 'least_upper_bound'( Y, Z ) ), T ),
% 100.76/101.23 multiply( X, Z ) ) ) ] )
% 100.76/101.23 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z,
% 100.76/101.23 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z
% 100.76/101.23 ), :=( Z, Y ), :=( T, multiply( T, 'least_upper_bound'( Z, Y ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41042, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 X, Z ), 'least_upper_bound'( T, Y ) ), multiply( X, Y ) ), multiply( X, Y
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 41040, [ =( multiply( X, Y ), 'greatest_lower_bound'( multiply(
% 100.76/101.23 'least_upper_bound'( X, T ), 'least_upper_bound'( Z, Y ) ), multiply( X,
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 2331, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 100.76/101.23 , T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 41042, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 X, Z ), 'least_upper_bound'( T, Y ) ), multiply( X, Y ) ), multiply( X, Y
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] ),
% 100.76/101.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41045, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 100.76/101.23 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 100.76/101.23 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.23 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.23 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.76/101.23 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41048, [ =( 'greatest_lower_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, clause( 41045, [ =( 'greatest_lower_bound'( Y, Z ),
% 100.76/101.23 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41053, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.76/101.23 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41048, [ =( 'greatest_lower_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.76/101.23 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.76/101.23 , clause( 41053, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.76/101.23 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41055, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.76/101.23 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.23 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.23 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41060, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.23 , identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 100.76/101.23 , X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.76/101.23 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41055, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 100.76/101.23 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.23 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), :=( Y,
% 100.76/101.23 'greatest_lower_bound'( identity, X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41061, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.23 , identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.23 , identity ) ) ) ) ] )
% 100.76/101.23 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.23 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.23 , 0, clause( 41060, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.23 X ), identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.23 identity, X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.23 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41062, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.76/101.23 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41061, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.23 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.23 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.23 , identity ) ) ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41063, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.23 , clause( 41062, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.23 , clause( 41063, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41064, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41065, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.76/101.23 , clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41064, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41071, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , clause( 41065, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , clause( 41071, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41075, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.76/101.23 , clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.76/101.23 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41080, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 inverse( identity ), multiply( 'least_upper_bound'( Y, X ), inverse( Y )
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 100.76/101.23 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.76/101.23 , 0, clause( 41075, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, identity ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41081, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ), inverse( X
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41080, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 multiply( inverse( identity ), multiply( 'least_upper_bound'( Y, X ),
% 100.76/101.23 inverse( Y ) ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y,
% 100.76/101.23 'least_upper_bound'( X, Y ) ), :=( Z, inverse( X ) )] ), substitution( 1
% 100.76/101.23 , [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41082, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 100.76/101.23 multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ), identity
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.76/101.23 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.76/101.23 , 0, clause( 41081, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 multiply( multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ),
% 100.76/101.23 inverse( X ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )
% 100.76/101.23 , :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41083, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 100.76/101.23 multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 100.76/101.23 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.23 , 0, clause( 41082, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 inverse( multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) )
% 100.76/101.23 , identity ) ) ) ) ] )
% 100.76/101.23 , 0, 5, substitution( 0, [ :=( X, multiply( X, inverse( 'least_upper_bound'(
% 100.76/101.23 X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41084, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.23 inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41083, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 inverse( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41085, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.76/101.23 , clause( 41084, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.23 , clause( 41085, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41086, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41087, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.76/101.23 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.76/101.23 , 0, clause( 41086, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.23 multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41090, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.23 , clause( 41087, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.23 , clause( 41090, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41092, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.76/101.23 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.23 , clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.76/101.23 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41095, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.76/101.23 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.76/101.23 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.23 , 0, clause( 41092, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.76/101.23 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, multiply( 'least_upper_bound'( Y, Z ), inverse( Z ) )
% 100.76/101.23 )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41096, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.76/101.23 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 100.76/101.23 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.23 , 0, clause( 41095, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.76/101.23 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41097, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41096, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.76/101.23 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )
% 100.76/101.23 , :=( Z, inverse( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 100.76/101.23 :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.76/101.23 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.76/101.23 , clause( 41097, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41100, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.23 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.76/101.23 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41105, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.76/101.23 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.23 , clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41100, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 100.76/101.23 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 100.76/101.23 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 100.76/101.23 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41106, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.76/101.23 inverse( Y ) ) ), X ) ] )
% 100.76/101.23 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41105, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.76/101.23 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41107, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.23 multiply( X, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41106, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.76/101.23 inverse( Y ) ) ), X ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 100.76/101.23 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 100.76/101.23 ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41108, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.76/101.23 ] )
% 100.76/101.23 , clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 100.76/101.23 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41107, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.76/101.23 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41109, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.23 , 0, clause( 41108, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , clause( 41109, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41112, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.23 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.76/101.23 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41117, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 100.76/101.23 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.23 , clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41112, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 100.76/101.23 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 100.76/101.23 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( multiply( X, Y ) ), identity ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41118, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 100.76/101.23 inverse( Y ) ) ), X ) ] )
% 100.76/101.23 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41117, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 100.76/101.23 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41119, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.23 multiply( X, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41118, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ),
% 100.76/101.23 inverse( Y ) ) ), X ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 100.76/101.23 inverse( multiply( X, Y ) ), identity ) )] ), substitution( 1, [ :=( X, X
% 100.76/101.23 ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41120, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 100.76/101.23 ] )
% 100.76/101.23 , clause( 184, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 100.76/101.23 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, clause( 41119, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.76/101.23 'greatest_lower_bound'( inverse( multiply( X, Y ) ), identity ) ) ) ), X
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41121, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 100.76/101.23 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.23 , 0, clause( 41120, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), multiply( Y, identity ) ) ) ), X )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4752, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 100.76/101.23 , clause( 41121, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41124, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.23 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , clause( 517, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41128, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.23 inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), Y ) ) ] )
% 100.76/101.23 , clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41124, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.23 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41130, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 X, inverse( Y ) ) ), Y ), Y ) ] )
% 100.76/101.23 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, clause( 41128, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), 'least_upper_bound'(
% 100.76/101.23 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y )
% 100.76/101.23 ) ), Y ), Y ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, inverse(
% 100.76/101.23 'greatest_lower_bound'( X, inverse( Y ) ) ) )] ), substitution( 1, [ :=(
% 100.76/101.23 X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4781, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 Y, inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , clause( 41130, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ), Y ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41133, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41134, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41133, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.23 Y, X ) ) ) ] )
% 100.76/101.23 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41135, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 100.76/101.23 , inverse( Y ) ) ), Y ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41134, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 100.76/101.23 , 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, inverse( Y ) )
% 100.76/101.23 ), Y ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4795, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.76/101.23 , inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X )
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41135, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 X, inverse( Y ) ) ), Y ), inverse( 'greatest_lower_bound'( X, inverse( Y
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41137, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.76/101.23 , clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41138, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41137, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.76/101.23 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.23 X ) ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41139, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41138, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41139, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41140, [ =( Y, 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 100.76/101.23 , clause( 4781, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41141, [ =( X, 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 100.76/101.23 , clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41140, [ =( Y, 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 100.76/101.23 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41147, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( X ), Y ) ), X ), X ) ] )
% 100.76/101.23 , clause( 41141, [ =( X, 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4802, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( Y ), X ) ), Y ), Y ) ] )
% 100.76/101.23 , clause( 41147, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41151, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41152, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.76/101.23 , X ) ) ] )
% 100.76/101.23 , clause( 4802, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( Y ), X ) ), Y ), Y ) ] )
% 100.76/101.23 , 0, clause( 41151, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.23 X, Y ) ) ) ] )
% 100.76/101.23 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), :=( Y, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41153, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , clause( 41152, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.76/101.23 , 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y )
% 100.76/101.23 ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4821, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , clause( 41153, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41155, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 100.76/101.23 , clause( 4752, [ =( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41156, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41155, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.76/101.23 X ) ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41157, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41156, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.76/101.23 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4827, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41157, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41159, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41160, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 4827, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , 0, clause( 41159, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.76/101.23 , Y ), Y ) ) ] )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41161, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41160, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41161, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41163, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41164, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , 0, clause( 41163, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.76/101.23 , Y ), Y ) ) ] )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41165, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41164, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 41165, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.23 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41167, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41168, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , 0, clause( 41167, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.23 Y, X ) ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41169, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 100.76/101.23 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.23 , clause( 41168, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.76/101.23 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.76/101.23 Y ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.76/101.23 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , clause( 41169, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.23 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 100.76/101.23 )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41171, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41175, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.23 Y, X ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ),
% 100.76/101.23 inverse( X ) ) ) ] )
% 100.76/101.23 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, clause( 41171, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.76/101.23 ) ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41176, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.76/101.23 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, clause( 41175, [ =( inverse( 'greatest_lower_bound'( X,
% 100.76/101.23 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41178, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.76/101.23 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41176, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.76/101.23 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 41178, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.76/101.23 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41181, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.23 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41185, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'least_upper_bound'( Y, X ) )
% 100.76/101.23 ), inverse( X ) ) ) ] )
% 100.76/101.23 , clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.23 , 0, clause( 41181, [ =( 'least_upper_bound'( X, Y ),
% 100.76/101.23 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.23 Y, X ) ) ) ] )
% 100.76/101.23 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( X ) ), :=( Y, inverse( 'least_upper_bound'( Y, X ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41187, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, clause( 41185, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( inverse( X ), inverse( 'least_upper_bound'( Y, X ) )
% 100.76/101.23 ), inverse( X ) ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 100.76/101.23 , Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5315, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.23 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 100.76/101.23 , clause( 41187, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41190, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.76/101.23 , clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41192, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41190, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.76/101.23 :=( Y, inverse( X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41193, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41192, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.23 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41195, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , clause( 41193, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 Y, inverse( X ) ) ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , clause( 41195, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41198, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.23 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41202, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.23 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , 0, clause( 41198, [ =( 'least_upper_bound'( X, Y ),
% 100.76/101.23 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.23 Y, X ) ) ) ] )
% 100.76/101.23 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41204, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, clause( 41202, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ) ), 'greatest_lower_bound'(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 100.76/101.23 ), X ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 100.76/101.23 Y, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.76/101.23 , inverse( Y ) ) ) ), Y ) ] )
% 100.76/101.23 , clause( 41204, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 Y, inverse( X ) ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41207, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.76/101.23 ) ) ) ] )
% 100.76/101.23 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.76/101.23 , X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41208, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.76/101.23 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), X ), X ) ] )
% 100.76/101.23 , 0, clause( 41207, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.76/101.23 X, Y ) ) ) ] )
% 100.76/101.23 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41209, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.23 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 41208, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.76/101.23 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.23 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 41209, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41211, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 100.76/101.23 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , clause( 1018, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 100.76/101.23 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41214, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 100.76/101.23 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 100.76/101.23 identity ) ) ) ) ] )
% 100.76/101.23 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41211, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 100.76/101.23 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41215, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.76/101.23 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 100.76/101.23 Y ) ) ] )
% 100.76/101.23 , clause( 41214, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 100.76/101.23 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 100.76/101.23 identity ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 5796, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.76/101.23 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 100.76/101.23 Y ) ) ] )
% 100.76/101.23 , clause( 41215, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 100.76/101.23 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 100.76/101.23 , Y ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41217, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 100.76/101.23 , clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.76/101.23 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41224, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 100.76/101.23 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ),
% 100.76/101.23 inverse( multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse(
% 100.76/101.23 X ) ), inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41217, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, inverse( Z ) ) ), :=(
% 100.76/101.23 Z, inverse( multiply( Z, T ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41225, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.76/101.23 X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), inverse(
% 100.76/101.23 inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41224, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 100.76/101.23 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 100.76/101.23 inverse( Z ) ) ), :=( Z, inverse( T ) )] ), substitution( 1, [ :=( X, X )
% 100.76/101.23 , :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41226, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 100.76/101.23 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.76/101.23 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, clause( 41225, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.76/101.23 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ),
% 100.76/101.23 inverse( inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, inverse( multiply( T, Z ) ) )
% 100.76/101.23 , :=( Z, multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41227, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 100.76/101.23 multiply( T, Z ) ) ), X ) ) ] )
% 100.76/101.23 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.23 inverse( Y ), X ) ) ] )
% 100.76/101.23 , 0, clause( 41226, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 100.76/101.23 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, multiply( T, Z ) ), :=( Y, T )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41229, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 100.76/101.23 ), T ), Z ) ), X ) ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41227, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 100.76/101.23 multiply( T, Z ) ) ), X ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, inverse( T ) ), :=( Y, T ), :=( Z, Z )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41232, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.76/101.23 X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ), T )
% 100.76/101.23 ), Z ), X ) ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41229, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 100.76/101.23 ), T ), Z ) ), X ) ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 100.76/101.23 inverse( Z ) ) ) ), :=( Y, multiply( inverse( T ), T ) ), :=( Z, Z )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41233, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.76/101.23 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), T
% 100.76/101.23 ), Z ), X ) ) ] )
% 100.76/101.23 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.76/101.23 ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41232, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.76/101.23 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse(
% 100.76/101.23 T ), T ) ), Z ), X ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 100.76/101.23 inverse( Z ) ) ) ), :=( Y, inverse( T ) ), :=( Z, T )] ), substitution( 1
% 100.76/101.23 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41234, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.76/101.23 , clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.76/101.23 , 0, clause( 41233, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.76/101.23 multiply( multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse(
% 100.76/101.23 T ) ), T ), Z ), X ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ) )] ), substitution( 1, [ :=( X,
% 100.76/101.23 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41235, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 100.76/101.23 , clause( 41234, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.76/101.23 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.76/101.23 , clause( 41235, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.23 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 100.76/101.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41237, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.23 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.23 , clause( 454, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.23 X, Y ) ) ), 'greatest_lower_bound'( identity, X ) ), inverse( Y ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41240, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ), 'greatest_lower_bound'(
% 100.76/101.23 identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41237, [ =( inverse( X ), multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.23 identity, Y ) ) ) ] )
% 100.76/101.23 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( X ) ), :=( Y, multiply( Y, X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41241, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.23 X ), Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41240, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'greatest_lower_bound'( inverse( X ), Y ) ), 'greatest_lower_bound'(
% 100.76/101.23 identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41242, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.76/101.23 , Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , clause( 41241, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.23 X ), Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 11596, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 100.76/101.23 , X ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.23 , clause( 41242, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.76/101.23 ), Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ]
% 100.76/101.23 )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41243, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.23 X ), Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 11596, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y
% 100.76/101.23 ), X ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ), Y ) ]
% 100.76/101.23 )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41244, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 322, [ =( multiply( inverse( 'greatest_lower_bound'( Z, Y ) ), X
% 100.76/101.23 ), multiply( inverse( 'greatest_lower_bound'( Y, Z ) ), X ) ) ] )
% 100.76/101.23 , 0, clause( 41243, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.23 inverse( X ), Y ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) )
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity,
% 100.76/101.23 multiply( Y, X ) ) ), :=( Y, Y ), :=( Z, inverse( X ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41250, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , clause( 41244, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 11944, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , clause( 41250, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41253, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.23 inverse( Y ) ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 11944, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41254, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 101, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 100.76/101.23 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41253, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.23 inverse( Y ) ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( Y,
% 100.76/101.23 inverse( X ) ) ) ), :=( Y, identity ), :=( Z, multiply( Y, X ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41260, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.76/101.23 , clause( 41254, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 100.76/101.23 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 11951, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 100.76/101.23 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.23 , clause( 41260, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41264, [ =( inverse( 'least_upper_bound'( multiply( X, Y ), X ) ),
% 100.76/101.23 inverse( multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 100.76/101.23 , clause( 994, [ =( inverse( multiply( X, 'least_upper_bound'( identity, Y
% 100.76/101.23 ) ) ), inverse( 'least_upper_bound'( multiply( X, Y ), X ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41273, [ =( inverse( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ), inverse( multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ),
% 100.76/101.23 'least_upper_bound'( identity, 'least_upper_bound'( X, identity ) ) ) ) )
% 100.76/101.23 ] )
% 100.76/101.23 , clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 100.76/101.23 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.23 , 0, clause( 41264, [ =( inverse( 'least_upper_bound'( multiply( X, Y ), X
% 100.76/101.23 ) ), inverse( multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ) ), :=( Y,
% 100.76/101.23 'least_upper_bound'( X, identity ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41275, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, 'least_upper_bound'( Y, identity ) ) ),
% 100.76/101.23 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.76/101.23 inverse( Y ), X ) ) ] )
% 100.76/101.23 , 0, clause( 41273, [ =( inverse( 'least_upper_bound'( inverse( Y ),
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ), inverse(
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( multiply( X, Y ), Y ) ),
% 100.76/101.23 'least_upper_bound'( identity, 'least_upper_bound'( X, identity ) ) ) ) )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( Y, X ), X
% 100.76/101.23 ) ), :=( Y, 'least_upper_bound'( identity, 'least_upper_bound'( Y,
% 100.76/101.23 identity ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41276, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( identity, Y ), identity ) ),
% 100.76/101.23 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41275, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, 'least_upper_bound'( Y, identity
% 100.76/101.23 ) ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, identity
% 100.76/101.23 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41277, [ =( inverse( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 100.76/101.23 ), X ) ) ) ] )
% 100.76/101.23 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.23 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.23 , 0, clause( 41276, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( 'least_upper_bound'( identity, Y ),
% 100.76/101.23 identity ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41278, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 100.76/101.23 ), X ) ) ) ] )
% 100.76/101.23 , clause( 5315, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.76/101.23 'least_upper_bound'( X, Y ) ) ), inverse( Y ) ) ] )
% 100.76/101.23 , 0, clause( 41277, [ =( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'(
% 100.76/101.23 multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, X )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41279, [ =( X, multiply( inverse( 'least_upper_bound'( identity, Y
% 100.76/101.23 ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41278, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply( Y, X
% 100.76/101.23 ), X ) ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41280, [ =( multiply( inverse( 'least_upper_bound'( identity, Y ) )
% 100.76/101.23 , 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 100.76/101.23 , clause( 41279, [ =( X, multiply( inverse( 'least_upper_bound'( identity,
% 100.76/101.23 Y ) ), 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12342, [ =( multiply( inverse( 'least_upper_bound'( identity, X ) )
% 100.76/101.23 , 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 100.76/101.23 , clause( 41280, [ =( multiply( inverse( 'least_upper_bound'( identity, Y )
% 100.76/101.23 ), 'least_upper_bound'( multiply( Y, X ), X ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41282, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 100.76/101.23 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.23 , clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 100.76/101.23 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41285, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 100.76/101.23 Y, X ), identity ) ) ) ] )
% 100.76/101.23 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41282, [ =( inverse( Y ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 100.76/101.23 identity ) ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41286, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41285, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 100.76/101.23 Y, X ), identity ) ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41287, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 100.76/101.23 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.76/101.23 , clause( 41286, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.76/101.23 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.23 , clause( 41287, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 100.76/101.23 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41289, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 100.76/101.23 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.23 , clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.76/101.23 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41296, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.76/101.23 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 100.76/101.23 , Y ), identity ) ) ) ) ] )
% 100.76/101.23 , clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.76/101.23 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41289, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.76/101.23 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.76/101.23 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.23 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 100.76/101.23 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41297, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 100.76/101.23 , X ) ), identity ) ) ) ] )
% 100.76/101.23 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41296, [ =( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 100.76/101.23 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 100.76/101.23 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 100.76/101.23 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41298, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.76/101.23 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.76/101.23 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.23 , 0, clause( 41297, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 100.76/101.23 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 100.76/101.23 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41299, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 100.76/101.23 X, inverse( Y ) ) ) ), Y ) ] )
% 100.76/101.23 , 0, clause( 41298, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 100.76/101.23 multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41300, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 100.76/101.23 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , clause( 41299, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.76/101.23 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.23 , clause( 41300, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 100.76/101.23 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.23 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41302, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 100.76/101.23 , clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.76/101.23 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41307, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 100.76/101.23 ), X ), inverse( inverse( 'least_upper_bound'( X, identity ) ) ) ) ),
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 1506, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 100.76/101.23 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41302, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 100.76/101.23 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 100.76/101.23 )
% 100.76/101.23 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.23 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 100.76/101.23 'least_upper_bound'( X, identity ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41308, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 100.76/101.23 ), X ), 'least_upper_bound'( X, identity ) ) ), 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ) ] )
% 100.76/101.23 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.23 , 0, clause( 41307, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 identity, X ), X ), inverse( inverse( 'least_upper_bound'( X, identity )
% 100.76/101.23 ) ) ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 100.76/101.23 , substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41309, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 100.76/101.23 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.23 , 0, clause( 41308, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 identity, X ), X ), 'least_upper_bound'( X, identity ) ) ),
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( identity,
% 100.76/101.23 X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X
% 100.76/101.23 )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41310, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 100.76/101.23 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 585, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, clause( 41309, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 100.76/101.23 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41311, [ =( inverse( 'least_upper_bound'( X, identity ) ), inverse(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 1676, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 100.76/101.23 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 100.76/101.23 ) ] )
% 100.76/101.23 , 0, clause( 41310, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.23 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.23 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41312, [ =( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ) ) ] )
% 100.76/101.23 , clause( 41311, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 100.76/101.23 X ) ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12365, [ =( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ) ) ] )
% 100.76/101.23 , clause( 41312, [ =( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41314, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 100.76/101.23 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.23 , clause( 1309, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 100.76/101.23 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41319, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), multiply( inverse( 'least_upper_bound'( inverse(
% 100.76/101.23 'least_upper_bound'( X, identity ) ), identity ) ), 'least_upper_bound'(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 100.76/101.23 identity ) ) ) ] )
% 100.76/101.23 , clause( 12365, [ =( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ) ) ] )
% 100.76/101.23 , 0, clause( 41314, [ =( X, multiply( inverse( 'least_upper_bound'( inverse(
% 100.76/101.23 X ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.76/101.23 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41320, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), multiply( inverse( identity ), 'least_upper_bound'(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 100.76/101.23 identity ) ) ) ] )
% 100.76/101.23 , clause( 1315, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.23 identity ) ), identity ), identity ) ] )
% 100.76/101.23 , 0, clause( 41319, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 identity ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), identity ) ) ) ] )
% 100.76/101.23 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41321, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), multiply( identity, 'least_upper_bound'(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 100.76/101.23 identity ) ) ) ] )
% 100.76/101.23 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.23 , 0, clause( 41320, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), multiply( inverse( identity ),
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), identity ) ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41322, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), identity ) ) ] )
% 100.76/101.23 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.23 , 0, clause( 41321, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), multiply( identity,
% 100.76/101.23 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), identity ) ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.23 X, inverse( 'least_upper_bound'( identity, X ) ) ), identity ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41323, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 1326, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 100.76/101.23 identity, Y ) ) ] )
% 100.76/101.23 , 0, clause( 41322, [ =( 'least_upper_bound'( X, inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 100.76/101.23 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12379, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41323, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41326, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.23 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 100.76/101.23 , clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.76/101.23 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41330, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 100.76/101.23 multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 100.76/101.23 , clause( 12379, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , 0, clause( 41326, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 100.76/101.23 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 100.76/101.23 )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41331, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 100.76/101.23 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 100.76/101.23 multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 100.76/101.23 , clause( 1199, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.23 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 100.76/101.23 , 0, clause( 41330, [ =( 'least_upper_bound'( identity, X ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 100.76/101.23 identity, multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41332, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 100.76/101.23 multiply( inverse( 'least_upper_bound'( identity, X ) ), identity ), X )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 1580, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 100.76/101.23 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , 0, clause( 41331, [ =( 'least_upper_bound'( identity, X ), multiply(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 100.76/101.23 identity, multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 100.76/101.23 :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41333, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 100.76/101.23 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.23 , 0, clause( 41332, [ =( 'least_upper_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( multiply( inverse( 'least_upper_bound'( identity, X
% 100.76/101.23 ) ), identity ), X ) ) ] )
% 100.76/101.23 , 0, 5, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 100.76/101.23 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41334, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41333, [ =( 'least_upper_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12383, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41334, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41335, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 100.76/101.23 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , clause( 1185, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 100.76/101.23 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41336, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 100.76/101.23 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 100.76/101.23 , clause( 12383, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41339, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 100.76/101.23 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 100.76/101.23 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 41335, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 100.76/101.23 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 100.76/101.23 , 0, clause( 41336, [ =( 'least_upper_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.23 1, [ :=( X, multiply( identity, X ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41342, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 100.76/101.23 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 multiply( identity, X ) ) ) ] )
% 100.76/101.23 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.23 , 0, clause( 41339, [ =( 'least_upper_bound'( identity, multiply( identity
% 100.76/101.23 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 100.76/101.23 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41348, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 100.76/101.23 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 100.76/101.23 ) ) ] )
% 100.76/101.23 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.23 , 0, clause( 41342, [ =( 'least_upper_bound'( identity, multiply( identity
% 100.76/101.23 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 100.76/101.23 ), multiply( identity, X ) ) ) ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41349, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 100.76/101.23 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 100.76/101.23 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.23 , 0, clause( 41348, [ =( 'least_upper_bound'( identity, multiply( identity
% 100.76/101.23 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 100.76/101.23 ), X ) ) ] )
% 100.76/101.23 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41351, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.23 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41349, [ =( 'least_upper_bound'( identity, X ),
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 100.76/101.23 ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12405, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 100.76/101.23 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , clause( 41351, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41354, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 100.76/101.23 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 100.76/101.23 , clause( 74, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 100.76/101.23 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41358, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 100.76/101.23 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 100.76/101.23 , clause( 12405, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 100.76/101.23 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 100.76/101.23 , 0, clause( 41354, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 100.76/101.23 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 100.76/101.23 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.23 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41359, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 100.76/101.23 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 100.76/101.23 identity ), X ) ), identity ) ) ] )
% 100.76/101.23 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.76/101.23 multiply( X, Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41358, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 100.76/101.23 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 100.76/101.23 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.23 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41360, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , clause( 1014, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 100.76/101.23 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , 0, clause( 41359, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 100.76/101.23 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 100.76/101.23 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.23 ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41361, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , clause( 41360, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12421, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , clause( 41361, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41363, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , clause( 12421, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41371, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 100.76/101.23 ), identity ) ) ] )
% 100.76/101.23 , clause( 1252, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 100.76/101.23 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 100.76/101.23 , 0, clause( 41363, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.23 :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41375, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , clause( 41371, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 100.76/101.23 ), identity ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 subsumption(
% 100.76/101.23 clause( 12516, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , clause( 41375, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 eqswap(
% 100.76/101.23 clause( 41377, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , clause( 12421, [ =( 'least_upper_bound'( inverse( multiply(
% 100.76/101.23 'least_upper_bound'( X, identity ), X ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.23 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41383, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 100.76/101.23 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , clause( 12516, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.23 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , 0, clause( 41377, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 100.76/101.23 ), X ) ), identity ) ) ] )
% 100.76/101.23 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.23 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41384, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.23 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 100.76/101.23 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 100.76/101.23 ) ] )
% 100.76/101.23 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.76/101.23 inverse( Y ) ) ) ] )
% 100.76/101.23 , 0, clause( 41383, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.23 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 100.76/101.23 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 100.76/101.23 identity ) ) ] )
% 100.76/101.23 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 100.76/101.23 ) ), :=( Y, 'least_upper_bound'( inverse( X ), identity ) )] ),
% 100.76/101.23 substitution( 1, [ :=( X, X )] )).
% 100.76/101.23
% 100.76/101.23
% 100.76/101.23 paramod(
% 100.76/101.23 clause( 41385, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.23 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.23 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 100.76/101.23 , clause( 5796, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.76/101.23 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 100.76/101.23 Y ) ) ] )
% 100.76/101.23 , 0, clause( 41384, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.24 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.24 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 100.76/101.24 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.24 :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41386, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 100.76/101.24 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 100.76/101.24 ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41385, [ =( 'least_upper_bound'( inverse( inverse(
% 100.76/101.24 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 100.76/101.24 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 100.76/101.24 ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 12518, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 100.76/101.24 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 100.76/101.24 ] )
% 100.76/101.24 , clause( 41386, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 100.76/101.24 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 100.76/101.24 ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41389, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.24 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 100.76/101.24 ] )
% 100.76/101.24 , clause( 1896, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y
% 100.76/101.24 ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity )
% 100.76/101.24 ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41392, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.76/101.24 inverse( X ), 'least_upper_bound'( multiply( X, X ), identity ) ) ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , clause( 12518, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 100.76/101.24 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, clause( 41389, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 multiply( inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 100.76/101.24 , Z ) ) ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.24 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41394, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.24 , clause( 1540, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 100.76/101.24 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, clause( 41392, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 multiply( inverse( X ), 'least_upper_bound'( multiply( X, X ), identity )
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41395, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.76/101.24 , 0, clause( 41394, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 100.76/101.24 :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41396, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41395, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 12547, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41396, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41398, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( 'greatest_lower_bound'( Y, Z )
% 100.76/101.24 ), Z ) ) ) ) ] )
% 100.76/101.24 , clause( 2001, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 Z, multiply( inverse( 'greatest_lower_bound'( X, Y ) ), Y ) ) ), identity
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41402, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( identity ),
% 100.76/101.24 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ) ] )
% 100.76/101.24 , clause( 12547, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , 0, clause( 41398, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( 'greatest_lower_bound'( Y, Z )
% 100.76/101.24 ), Z ) ) ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.24 :=( Y, identity ), :=( Z, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41403, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( identity, 'least_upper_bound'( Y,
% 100.76/101.24 inverse( Y ) ) ) ) ) ) ] )
% 100.76/101.24 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41402, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( inverse( identity ),
% 100.76/101.24 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41404, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41403, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, multiply( identity, 'least_upper_bound'( Y,
% 100.76/101.24 inverse( Y ) ) ) ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 100.76/101.24 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41405, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 100.76/101.24 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41404, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 100.76/101.24 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41406, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41405, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 12726, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41406, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41408, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 100.76/101.24 , clause( 12726, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41411, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( Z, X ), inverse( Z ) ) ) ) ] )
% 100.76/101.24 , clause( 529, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, multiply(
% 100.76/101.24 'greatest_lower_bound'( identity, Z ), 'least_upper_bound'( X, Y ) ) ), X
% 100.76/101.24 ), 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, clause( 41408, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.76/101.24 substitution( 1, [ :=( X, 'least_upper_bound'( X, multiply(
% 100.76/101.24 'greatest_lower_bound'( identity, Y ), 'least_upper_bound'( Z, X ) ) ) )
% 100.76/101.24 , :=( Y, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41412, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41411, [ =( identity, 'greatest_lower_bound'( identity,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( Z, X ), inverse( Z ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13057, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41412, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41414, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( X, Y ), multiply( 'least_upper_bound'( Z,
% 100.76/101.24 identity ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.76/101.24 , clause( 541, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 100.76/101.24 , multiply( 'least_upper_bound'( X, identity ), 'greatest_lower_bound'( Z
% 100.76/101.24 , Y ) ) ), 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41419, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), multiply(
% 100.76/101.24 'least_upper_bound'( Z, identity ), identity ) ) ) ] )
% 100.76/101.24 , clause( 13057, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 100.76/101.24 , 0, clause( 41414, [ =( 'greatest_lower_bound'( X, Y ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), multiply(
% 100.76/101.24 'least_upper_bound'( Z, identity ), 'greatest_lower_bound'( Y, X ) ) ) )
% 100.76/101.24 ] )
% 100.76/101.24 , 0, 22, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X )] ),
% 100.76/101.24 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 100.76/101.24 ), inverse( X ) ) ), :=( Y, identity ), :=( Z, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41421, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ),
% 100.76/101.24 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 537, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 100.76/101.24 , multiply( 'least_upper_bound'( Y, identity ), X ) ),
% 100.76/101.24 'greatest_lower_bound'( X, Z ) ) ] )
% 100.76/101.24 , 0, clause( 41419, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), multiply(
% 100.76/101.24 'least_upper_bound'( Z, identity ), identity ) ) ) ] )
% 100.76/101.24 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, Z ), :=( Z,
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ) )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41422, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 100.76/101.24 , clause( 13057, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Z, X ), inverse( Z ) ) ), identity ) ] )
% 100.76/101.24 , 0, clause( 41421, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ),
% 100.76/101.24 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13269, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 100.76/101.24 , clause( 41422, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41425, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 100.76/101.24 , clause( 13269, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), inverse( X ) ), identity ), identity ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41430, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 inverse( 'greatest_lower_bound'( X, Y ) ), inverse( inverse( X ) ) ),
% 100.76/101.24 identity ) ) ] )
% 100.76/101.24 , clause( 4859, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.76/101.24 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , 0, clause( 41425, [ =( identity, 'greatest_lower_bound'(
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 100.76/101.24 identity ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.76/101.24 :=( X, inverse( X ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41431, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41430, [ =( identity, 'greatest_lower_bound'(
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.76/101.24 inverse( X ) ) ), identity ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.24 :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41432, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 100.76/101.24 , clause( 41431, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13445, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 100.76/101.24 , clause( 41432, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41434, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 inverse( 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 100.76/101.24 , clause( 13445, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41435, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ) ] )
% 100.76/101.24 , clause( 4795, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 Y, inverse( X ) ) ), X ), inverse( 'greatest_lower_bound'( Y, inverse( X
% 100.76/101.24 ) ) ) ) ] )
% 100.76/101.24 , 0, clause( 41434, [ =( identity, 'greatest_lower_bound'(
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), X ),
% 100.76/101.24 identity ) ) ] )
% 100.76/101.24 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 100.76/101.24 :=( X, X ), :=( Y, inverse( X ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41436, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.24 , clause( 41435, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13545, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.24 , clause( 41436, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41438, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.76/101.24 , X ) ) ] )
% 100.76/101.24 , clause( 4821, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), Y ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 100.76/101.24 Y ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41441, [ =( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ),
% 100.76/101.24 'least_upper_bound'( inverse( identity ), 'greatest_lower_bound'( X,
% 100.76/101.24 inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 13545, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41438, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y )
% 100.76/101.24 ), 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y
% 100.76/101.24 ) ), X ) ) ] )
% 100.76/101.24 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), :=( Y, identity )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41442, [ =( inverse( identity ), 'least_upper_bound'( inverse(
% 100.76/101.24 identity ), 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 13545, [ =( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41441, [ =( inverse( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ), identity ) ),
% 100.76/101.24 'least_upper_bound'( inverse( identity ), 'greatest_lower_bound'( X,
% 100.76/101.24 inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41446, [ =( inverse( identity ), 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41442, [ =( inverse( identity ), 'least_upper_bound'( inverse(
% 100.76/101.24 identity ), 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41447, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41446, [ =( inverse( identity ), 'least_upper_bound'( identity
% 100.76/101.24 , 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41449, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41447, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13708, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , clause( 41449, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41451, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 13708, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 X, inverse( X ) ) ), identity ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41452, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), X ) ) ) ] )
% 100.76/101.24 , clause( 635, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 100.76/101.24 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.24 , 0, clause( 41451, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z,
% 100.76/101.24 identity )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41455, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ) ), identity ) ] )
% 100.76/101.24 , clause( 41452, [ =( identity, 'least_upper_bound'( identity,
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), X ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13838, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ) ), identity ) ] )
% 100.76/101.24 , clause( 41455, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ) ), identity ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41457, [ =( Y, multiply( inverse( 'least_upper_bound'( identity, X
% 100.76/101.24 ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 100.76/101.24 , clause( 12342, [ =( multiply( inverse( 'least_upper_bound'( identity, X )
% 100.76/101.24 ), 'least_upper_bound'( multiply( X, Y ), Y ) ), Y ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41460, [ =( X, multiply( inverse( identity ), 'least_upper_bound'(
% 100.76/101.24 multiply( 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) ) ) ] )
% 100.76/101.24 , clause( 13838, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ) ), identity ) ] )
% 100.76/101.24 , 0, clause( 41457, [ =( Y, multiply( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, X ) ), 'least_upper_bound'( multiply( X, Y ), Y ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 100.76/101.24 'greatest_lower_bound'( inverse( Y ), Y ) ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41461, [ =( X, multiply( identity, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) ) ) ] )
% 100.76/101.24 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 100.76/101.24 , 0, clause( 41460, [ =( X, multiply( inverse( identity ),
% 100.76/101.24 'least_upper_bound'( multiply( 'greatest_lower_bound'( inverse( Y ), Y )
% 100.76/101.24 , X ), X ) ) ) ] )
% 100.76/101.24 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41462, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41461, [ =( X, multiply( identity, 'least_upper_bound'(
% 100.76/101.24 multiply( 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) )] ), substitution( 1
% 100.76/101.24 , [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41463, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.24 inverse( Y ), Y ), X ), X ), X ) ] )
% 100.76/101.24 , clause( 41462, [ =( X, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( Y ), Y ), X ), X ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 13856, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ), Y ), Y ), Y ) ] )
% 100.76/101.24 , clause( 41463, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.24 inverse( Y ), Y ), X ), X ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41465, [ =( Y, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), X ), Y ), Y ) ) ] )
% 100.76/101.24 , clause( 13856, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.76/101.24 inverse( X ), X ), Y ), Y ), Y ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41467, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, inverse( inverse( X ) ) ), identity
% 100.76/101.24 ), inverse( inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 2156, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 100.76/101.24 ), 'greatest_lower_bound'( multiply( Y, inverse( X ) ), identity ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, clause( 41465, [ =( Y, 'least_upper_bound'( multiply(
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), X ), Y ), Y ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41470, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, inverse( inverse( X ) ) ), identity
% 100.76/101.24 ), X ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41467, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, inverse( inverse( X ) ) ), identity
% 100.76/101.24 ), inverse( inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41472, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41470, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, inverse( inverse( X ) ) ), identity
% 100.76/101.24 ), X ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41473, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.24 multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41472, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41479, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 100.76/101.24 X, X ), identity ), X ), X ) ] )
% 100.76/101.24 , clause( 41473, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.24 multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 15222, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 100.76/101.24 X, X ), identity ), X ), X ) ] )
% 100.76/101.24 , clause( 41479, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 100.76/101.24 X, X ), identity ), X ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41482, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.24 multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , clause( 15222, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 100.76/101.24 X, X ), identity ), X ), X ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41492, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , clause( 614, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 100.76/101.24 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.76/101.24 , 0, clause( 41482, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 100.76/101.24 multiply( X, X ), identity ), X ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, X ) ),
% 100.76/101.24 :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41493, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , clause( 41492, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 15397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , clause( 41493, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41495, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.24 , clause( 51, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 100.76/101.24 'greatest_lower_bound'( Y, X ) ), 'least_upper_bound'( Z, X ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41498, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), 'least_upper_bound'( X,
% 100.76/101.24 'greatest_lower_bound'( Y, 'greatest_lower_bound'( identity, multiply( X
% 100.76/101.24 , X ) ) ) ) ) ] )
% 100.76/101.24 , clause( 15397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41495, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 100.76/101.24 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.24 :=( Y, 'greatest_lower_bound'( identity, multiply( X, X ) ) ), :=( Z, Y )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41499, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 100.76/101.24 'greatest_lower_bound'( identity, multiply( X, X ) ) ) ) ) ] )
% 100.76/101.24 , clause( 15397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41498, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 identity, multiply( X, X ) ) ), 'least_upper_bound'( X,
% 100.76/101.24 'greatest_lower_bound'( Y, 'greatest_lower_bound'( identity, multiply( X
% 100.76/101.24 , X ) ) ) ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.76/101.24 :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41502, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.24 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41499, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 Y, 'greatest_lower_bound'( identity, multiply( X, X ) ) ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, multiply(
% 100.76/101.24 X, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41503, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , clause( 41502, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 15488, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , clause( 41503, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41505, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , clause( 15488, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ), X ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41506, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 100.76/101.24 , clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( X, Y ), Z ), X ), 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41505, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( Y, identity ), multiply( X, X ) ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, multiply( X, X ) ), :=( Y, Y ), :=( Z,
% 100.76/101.24 identity )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41508, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 100.76/101.24 , clause( 41506, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 17348, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 100.76/101.24 , clause( 41508, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41511, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 100.76/101.24 , clause( 17348, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ), X ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41516, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 2331, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 100.76/101.24 X, T ), 'least_upper_bound'( Y, Z ) ), multiply( X, Z ) ), multiply( X, Z
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , 0, clause( 41511, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.76/101.24 'greatest_lower_bound'( multiply( X, X ), Y ), identity ) ) ) ] )
% 100.76/101.24 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 100.76/101.24 , substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y,
% 100.76/101.24 multiply( X, Y ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41517, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , clause( 41516, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 37723, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , clause( 41517, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41518, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 37723, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41521, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Y, X ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 88, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41518, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) )] ), substitution(
% 100.76/101.24 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41534, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , clause( 41521, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( Y, X ), 'greatest_lower_bound'( multiply( X, Y ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 37763, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , clause( 41534, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.24 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41536, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.76/101.24 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.24 , clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.76/101.24 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.76/101.24 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41537, [ =( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.76/101.24 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , 0, clause( 41536, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.76/101.24 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.24 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41538, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.24 , clause( 41537, [ =( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.76/101.24 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.24 , clause( 41538, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41540, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.76/101.24 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.76/101.24 ] )
% 100.76/101.24 , clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.24 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41547, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.24 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.76/101.24 , clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ] )
% 100.76/101.24 , 0, clause( 41540, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 100.76/101.24 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 100.76/101.24 , Y ) ) ) ) ] )
% 100.76/101.24 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 100.76/101.24 'greatest_lower_bound'( identity, X ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41548, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.76/101.24 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.76/101.24 , clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.76/101.24 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, clause( 41547, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.76/101.24 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 100.76/101.24 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41549, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.76/101.24 X ) ) ) ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41548, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.76/101.24 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.76/101.24 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41551, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41549, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.76/101.24 X ) ) ) ) ) ) ] )
% 100.76/101.24 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 100.76/101.24 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41552, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41551, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.76/101.24 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 100.76/101.24 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41557, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.76/101.24 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41552, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.76/101.24 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 100.76/101.24 , [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41558, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 inverse( X ) ) ) ] )
% 100.76/101.24 , clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , 0, clause( 41557, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41559, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, clause( 41558, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 inverse( X ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.76/101.24 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41559, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41562, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( Y, X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 37763, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( X, Y ), identity ) ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41565, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( multiply( inverse( X ), identity ), identity ) )
% 100.76/101.24 ) ] )
% 100.76/101.24 , clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41562, [ =( 'least_upper_bound'( Y, X ), 'least_upper_bound'(
% 100.76/101.24 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( multiply( Y, X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 identity ), :=( Y, inverse( X ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41566, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 2308, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41565, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.24 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( multiply( inverse( X ), identity ), identity ) )
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( inverse( X ),
% 100.76/101.24 identity ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 38821, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41566, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41569, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.76/101.24 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 100.76/101.24 , clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.76/101.24 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41572, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41569, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 100.76/101.24 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 identity ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41573, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41572, [ =( X, multiply( inverse( inverse(
% 100.76/101.24 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 100.76/101.24 , multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 100.76/101.24 , substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41574, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41573, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 100.76/101.24 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41575, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , clause( 41574, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , clause( 41575, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41576, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41577, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 100.76/101.24 , Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ), Z
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.24 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.24 ), Z ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41580, [ =( multiply( identity, X ), multiply( multiply( identity,
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'( identity,
% 100.76/101.24 multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , clause( 41577, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.76/101.24 ), Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.76/101.24 Z ) ) ] )
% 100.76/101.24 , 0, clause( 41576, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 100.76/101.24 , 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z,
% 100.76/101.24 'least_upper_bound'( identity, multiply( identity, X ) ) )] ),
% 100.76/101.24 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41583, [ =( multiply( identity, X ), multiply(
% 100.76/101.24 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 100.76/101.24 multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41580, [ =( multiply( identity, X ), multiply( multiply(
% 100.76/101.24 identity, 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'(
% 100.76/101.24 identity, multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 100.76/101.24 , substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41589, [ =( multiply( identity, X ), multiply(
% 100.76/101.24 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41583, [ =( multiply( identity, X ), multiply(
% 100.76/101.24 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 100.76/101.24 multiply( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41590, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41589, [ =( multiply( identity, X ), multiply(
% 100.76/101.24 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41592, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , clause( 41590, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 38998, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , clause( 41592, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41595, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.76/101.24 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.76/101.24 , clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply(
% 100.76/101.24 X, Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41599, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.76/101.24 inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity, X ), X )
% 100.76/101.24 ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41595, [ =( inverse( X ), multiply( inverse(
% 100.76/101.24 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.76/101.24 Y, identity ) ) ) ] )
% 100.76/101.24 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 'least_upper_bound'( identity, X ) ), :=( Y, 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41600, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.76/101.24 inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X
% 100.76/101.24 ), identity ) ) ) ] )
% 100.76/101.24 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 100.76/101.24 , X ) ] )
% 100.76/101.24 , 0, clause( 41599, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 multiply( inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.76/101.24 , X ), X ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X
% 100.76/101.24 ), identity ) ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.76/101.24 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41601, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.76/101.24 inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.24 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, clause( 41600, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 multiply( inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.76/101.24 identity, X ), identity ) ) ) ] )
% 100.76/101.24 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.76/101.24 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41602, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.24 , clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.76/101.24 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.24 , 0, clause( 41601, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 multiply( inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41603, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41602, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39012, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41603, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41605, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.24 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.76/101.24 , clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.76/101.24 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41611, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 100.76/101.24 , clause( 38998, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.76/101.24 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41605, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.76/101.24 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 100.76/101.24 :=( X, 'greatest_lower_bound'( inverse( X ), identity ) ), :=( Y,
% 100.76/101.24 identity ), :=( Z, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41612, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 100.76/101.24 ), inverse( X ) ), identity ) ) ] )
% 100.76/101.24 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.76/101.24 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.76/101.24 , 0, clause( 41611, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 100.76/101.24 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, multiply( inverse( X ), X ) ), :=( Y,
% 100.76/101.24 inverse( X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41613, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 100.76/101.24 , identity ) ) ] )
% 100.76/101.24 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.76/101.24 , 0, clause( 41612, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 100.76/101.24 ), inverse( X ) ), identity ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41614, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.76/101.24 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.76/101.24 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, clause( 41613, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 100.76/101.24 , identity ) ) ] )
% 100.76/101.24 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41615, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.76/101.24 , clause( 39012, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41614, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.76/101.24 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.76/101.24 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41616, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41615, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.76/101.24 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39083, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , clause( 41616, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41618, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.24 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 100.76/101.24 ) ] )
% 100.76/101.24 , clause( 11951, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 100.76/101.24 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41621, [ =( X, multiply( inverse( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, X ) ) ), 'greatest_lower_bound'( multiply( identity, X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , clause( 39083, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41618, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 100.76/101.24 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 identity ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41622, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 100.76/101.24 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41621, [ =( X, multiply( inverse( inverse( 'least_upper_bound'(
% 100.76/101.24 identity, X ) ) ), 'greatest_lower_bound'( multiply( identity, X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41623, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.76/101.24 , 0, clause( 41622, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 100.76/101.24 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41624, [ =( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , clause( 41623, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39168, [ =( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , clause( 41624, [ =( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41626, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y,
% 100.76/101.24 X ), identity ), Z ), 'least_upper_bound'( multiply( 'least_upper_bound'(
% 100.76/101.24 X, Y ), Z ), Z ) ) ] )
% 100.76/101.24 , clause( 1298, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X
% 100.76/101.24 , Y ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 100.76/101.24 ), identity ), Z ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41629, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), identity ), 'greatest_lower_bound'( X, identity ) ),
% 100.76/101.24 'least_upper_bound'( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.24 , clause( 39168, [ =( multiply( 'least_upper_bound'( identity, X ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41626, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.24 Y, X ), identity ), Z ), 'least_upper_bound'( multiply(
% 100.76/101.24 'least_upper_bound'( X, Y ), Z ), Z ) ) ] )
% 100.76/101.24 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 identity ), :=( Y, X ), :=( Z, 'greatest_lower_bound'( X, identity ) )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41630, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), identity ), 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.76/101.24 , X ) ] )
% 100.76/101.24 , 0, clause( 41629, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), identity ), 'greatest_lower_bound'( X, identity ) ),
% 100.76/101.24 'least_upper_bound'( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 100.76/101.24 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41631, [ =( multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , clause( 28, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 100.76/101.24 'least_upper_bound'( X, Y ) ) ] )
% 100.76/101.24 , 0, clause( 41630, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), identity ), 'greatest_lower_bound'( X, identity ) ), X ) ]
% 100.76/101.24 )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.76/101.24 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39218, [ =( multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , clause( 41631, [ =( multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41634, [ =( identity, multiply( 'greatest_lower_bound'( multiply( X
% 100.76/101.24 , Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , clause( 900, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X )
% 100.76/101.24 , inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 100.76/101.24 identity ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41639, [ =( identity, multiply( 'greatest_lower_bound'( multiply(
% 100.76/101.24 'least_upper_bound'( X, identity ), X ), 'least_upper_bound'( X, identity
% 100.76/101.24 ) ), inverse( X ) ) ) ] )
% 100.76/101.24 , clause( 39218, [ =( multiply( 'least_upper_bound'( X, identity ),
% 100.76/101.24 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 100.76/101.24 , 0, clause( 41634, [ =( identity, multiply( 'greatest_lower_bound'(
% 100.76/101.24 multiply( X, Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y,
% 100.76/101.24 identity ) ) ) ) ) ] )
% 100.76/101.24 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.76/101.24 'least_upper_bound'( X, identity ) ), :=( Y, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41640, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), multiply( 'least_upper_bound'( X, identity ), inverse( X )
% 100.76/101.24 ) ) ) ] )
% 100.76/101.24 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.76/101.24 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , 0, clause( 41639, [ =( identity, multiply( 'greatest_lower_bound'(
% 100.76/101.24 multiply( 'least_upper_bound'( X, identity ), X ), 'least_upper_bound'( X
% 100.76/101.24 , identity ) ), inverse( X ) ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 100.76/101.24 :=( Y, X ), :=( Z, 'least_upper_bound'( X, identity ) )] ),
% 100.76/101.24 substitution( 1, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41641, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), 'least_upper_bound'( inverse( X ), identity ) ) ) ] )
% 100.76/101.24 , clause( 1263, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 100.76/101.24 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 100.76/101.24 , 0, clause( 41640, [ =( identity, 'greatest_lower_bound'(
% 100.76/101.24 'least_upper_bound'( X, identity ), multiply( 'least_upper_bound'( X,
% 100.76/101.24 identity ), inverse( X ) ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41642, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.76/101.24 , clause( 38821, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 41641, [ =( identity, 'greatest_lower_bound'(
% 100.76/101.24 'least_upper_bound'( X, identity ), 'least_upper_bound'( inverse( X ),
% 100.76/101.24 identity ) ) ) ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.76/101.24 ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqswap(
% 100.76/101.24 clause( 41643, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 100.76/101.24 ) ] )
% 100.76/101.24 , clause( 41642, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.76/101.24 X, identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39289, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 100.76/101.24 ) ] )
% 100.76/101.24 , clause( 41643, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 100.76/101.24 ) ] )
% 100.76/101.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41647, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.24 identity ), inverse( 'greatest_lower_bound'( identity, a ) ) ), identity
% 100.76/101.24 ) ) ] )
% 100.76/101.24 , clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.76/101.24 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.76/101.24 , 0, clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.76/101.24 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 100.76/101.24 ] )
% 100.76/101.24 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 paramod(
% 100.76/101.24 clause( 41648, [ ~( =( identity, identity ) ) ] )
% 100.76/101.24 , clause( 39289, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.76/101.24 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 100.76/101.24 ) ] )
% 100.76/101.24 , 0, clause( 41647, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a
% 100.76/101.24 , identity ), inverse( 'greatest_lower_bound'( identity, a ) ) ),
% 100.76/101.24 identity ) ) ] )
% 100.76/101.24 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 eqrefl(
% 100.76/101.24 clause( 41649, [] )
% 100.76/101.24 , clause( 41648, [ ~( =( identity, identity ) ) ] )
% 100.76/101.24 , 0, substitution( 0, [] )).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 subsumption(
% 100.76/101.24 clause( 39807, [] )
% 100.76/101.24 , clause( 41649, [] )
% 100.76/101.24 , substitution( 0, [] ), permutation( 0, [] ) ).
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 end.
% 100.76/101.24
% 100.76/101.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.76/101.24
% 100.76/101.24 Memory use:
% 100.76/101.24
% 100.76/101.24 space for terms: 572245
% 100.76/101.24 space for clauses: 4164727
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 clauses generated: 28466422
% 100.76/101.24 clauses kept: 39808
% 100.76/101.24 clauses selected: 6992
% 100.76/101.24 clauses deleted: 4089
% 100.76/101.24 clauses inuse deleted: 1949
% 100.76/101.24
% 100.76/101.24 subsentry: 1208010
% 100.76/101.24 literals s-matched: 1202893
% 100.76/101.24 literals matched: 1202318
% 100.76/101.24 full subsumption: 0
% 100.76/101.24
% 100.76/101.24 checksum: -1199453202
% 100.76/101.24
% 100.76/101.24
% 100.76/101.24 Bliksem ended
%------------------------------------------------------------------------------