TSTP Solution File: GRP183-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:55 EDT 2022
% Result : Unsatisfiable 107.94s 108.34s
% Output : Refutation 107.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 04:54:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 107.94/108.34 *** allocated 10000 integers for termspace/termends
% 107.94/108.34 *** allocated 10000 integers for clauses
% 107.94/108.34 *** allocated 10000 integers for justifications
% 107.94/108.34 Bliksem 1.12
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Automatic Strategy Selection
% 107.94/108.34
% 107.94/108.34 Clauses:
% 107.94/108.34 [
% 107.94/108.34 [ =( multiply( identity, X ), X ) ],
% 107.94/108.34 [ =( multiply( inverse( X ), X ), identity ) ],
% 107.94/108.34 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 107.94/108.34 ],
% 107.94/108.34 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 107.94/108.34 ,
% 107.94/108.34 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 107.94/108.34 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 107.94/108.34 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 107.94/108.34 [ =( 'least_upper_bound'( X, X ), X ) ],
% 107.94/108.34 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 107.94/108.34 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 107.94/108.34 ,
% 107.94/108.34 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 107.94/108.34 ,
% 107.94/108.34 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 107.94/108.34 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 107.94/108.34 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 107.94/108.34 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 107.94/108.34 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 107.94/108.34 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 107.94/108.34 [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a, identity ),
% 107.94/108.34 'least_upper_bound'( inverse( a ), identity ) ), identity ) ) ]
% 107.94/108.34 ] .
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 percentage equality = 1.000000, percentage horn = 1.000000
% 107.94/108.34 This is a pure equality problem
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Options Used:
% 107.94/108.34
% 107.94/108.34 useres = 1
% 107.94/108.34 useparamod = 1
% 107.94/108.34 useeqrefl = 1
% 107.94/108.34 useeqfact = 1
% 107.94/108.34 usefactor = 1
% 107.94/108.34 usesimpsplitting = 0
% 107.94/108.34 usesimpdemod = 5
% 107.94/108.34 usesimpres = 3
% 107.94/108.34
% 107.94/108.34 resimpinuse = 1000
% 107.94/108.34 resimpclauses = 20000
% 107.94/108.34 substype = eqrewr
% 107.94/108.34 backwardsubs = 1
% 107.94/108.34 selectoldest = 5
% 107.94/108.34
% 107.94/108.34 litorderings [0] = split
% 107.94/108.34 litorderings [1] = extend the termordering, first sorting on arguments
% 107.94/108.34
% 107.94/108.34 termordering = kbo
% 107.94/108.34
% 107.94/108.34 litapriori = 0
% 107.94/108.34 termapriori = 1
% 107.94/108.34 litaposteriori = 0
% 107.94/108.34 termaposteriori = 0
% 107.94/108.34 demodaposteriori = 0
% 107.94/108.34 ordereqreflfact = 0
% 107.94/108.34
% 107.94/108.34 litselect = negord
% 107.94/108.34
% 107.94/108.34 maxweight = 15
% 107.94/108.34 maxdepth = 30000
% 107.94/108.34 maxlength = 115
% 107.94/108.34 maxnrvars = 195
% 107.94/108.34 excuselevel = 1
% 107.94/108.34 increasemaxweight = 1
% 107.94/108.34
% 107.94/108.34 maxselected = 10000000
% 107.94/108.34 maxnrclauses = 10000000
% 107.94/108.34
% 107.94/108.34 showgenerated = 0
% 107.94/108.34 showkept = 0
% 107.94/108.34 showselected = 0
% 107.94/108.34 showdeleted = 0
% 107.94/108.34 showresimp = 1
% 107.94/108.34 showstatus = 2000
% 107.94/108.34
% 107.94/108.34 prologoutput = 1
% 107.94/108.34 nrgoals = 5000000
% 107.94/108.34 totalproof = 1
% 107.94/108.34
% 107.94/108.34 Symbols occurring in the translation:
% 107.94/108.34
% 107.94/108.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 107.94/108.34 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 107.94/108.34 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 107.94/108.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 107.94/108.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 107.94/108.34 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 107.94/108.34 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 107.94/108.34 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 107.94/108.34 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 107.94/108.34 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 107.94/108.34 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Starting Search:
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 25147
% 107.94/108.34 Kept: 2005
% 107.94/108.34 Inuse: 204
% 107.94/108.34 Deleted: 13
% 107.94/108.34 Deletedinuse: 8
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 106750
% 107.94/108.34 Kept: 4006
% 107.94/108.34 Inuse: 448
% 107.94/108.34 Deleted: 28
% 107.94/108.34 Deletedinuse: 8
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 172409
% 107.94/108.34 Kept: 6006
% 107.94/108.34 Inuse: 608
% 107.94/108.34 Deleted: 81
% 107.94/108.34 Deletedinuse: 32
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 299192
% 107.94/108.34 Kept: 8012
% 107.94/108.34 Inuse: 785
% 107.94/108.34 Deleted: 132
% 107.94/108.34 Deletedinuse: 80
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 668263
% 107.94/108.34 Kept: 10012
% 107.94/108.34 Inuse: 1130
% 107.94/108.34 Deleted: 188
% 107.94/108.34 Deletedinuse: 80
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 1917515
% 107.94/108.34 Kept: 12013
% 107.94/108.34 Inuse: 1725
% 107.94/108.34 Deleted: 273
% 107.94/108.34 Deletedinuse: 80
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 2140559
% 107.94/108.34 Kept: 14181
% 107.94/108.34 Inuse: 1849
% 107.94/108.34 Deleted: 297
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 2214286
% 107.94/108.34 Kept: 16242
% 107.94/108.34 Inuse: 1890
% 107.94/108.34 Deleted: 301
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 2361052
% 107.94/108.34 Kept: 18292
% 107.94/108.34 Inuse: 1962
% 107.94/108.34 Deleted: 302
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying clauses:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 2531666
% 107.94/108.34 Kept: 20319
% 107.94/108.34 Inuse: 2038
% 107.94/108.34 Deleted: 2148
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 2845291
% 107.94/108.34 Kept: 22350
% 107.94/108.34 Inuse: 2171
% 107.94/108.34 Deleted: 2148
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 3299453
% 107.94/108.34 Kept: 24360
% 107.94/108.34 Inuse: 2351
% 107.94/108.34 Deleted: 2148
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 3886254
% 107.94/108.34 Kept: 26365
% 107.94/108.34 Inuse: 2569
% 107.94/108.34 Deleted: 2151
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 4819107
% 107.94/108.34 Kept: 28368
% 107.94/108.34 Inuse: 2884
% 107.94/108.34 Deleted: 2155
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 6947622
% 107.94/108.34 Kept: 30369
% 107.94/108.34 Inuse: 3370
% 107.94/108.34 Deleted: 2175
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 9478306
% 107.94/108.34 Kept: 32369
% 107.94/108.34 Inuse: 3966
% 107.94/108.34 Deleted: 2175
% 107.94/108.34 Deletedinuse: 81
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 14113725
% 107.94/108.34 Kept: 34372
% 107.94/108.34 Inuse: 4941
% 107.94/108.34 Deleted: 2224
% 107.94/108.34 Deletedinuse: 87
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 17650822
% 107.94/108.34 Kept: 36373
% 107.94/108.34 Inuse: 5619
% 107.94/108.34 Deleted: 2373
% 107.94/108.34 Deletedinuse: 219
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 Intermediate Status:
% 107.94/108.34 Generated: 25317107
% 107.94/108.34 Kept: 38374
% 107.94/108.34 Inuse: 6618
% 107.94/108.34 Deleted: 2429
% 107.94/108.34 Deletedinuse: 251
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34 Done
% 107.94/108.34
% 107.94/108.34 Resimplifying inuse:
% 107.94/108.34
% 107.94/108.34 Bliksems!, er is een bewijs:
% 107.94/108.34 % SZS status Unsatisfiable
% 107.94/108.34 % SZS output start Refutation
% 107.94/108.34
% 107.94/108.34 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 107.94/108.34 , Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 107.94/108.34 X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 107.94/108.34 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 107.94/108.34 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.34 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 107.94/108.34 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.34 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.34 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 107.94/108.34 , identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 107.94/108.34 identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.34 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 107.94/108.34 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 107.94/108.34 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.34 'greatest_lower_bound'( Y, Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 42, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 107.94/108.34 'least_upper_bound'( Y, Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 107.94/108.34 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 107.94/108.34 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 107.94/108.34 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 107.94/108.34 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 107.94/108.34 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 107.94/108.34 multiply( Y, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.34 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.34 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 107.94/108.34 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 107.94/108.34 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 87, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.34 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 102, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 107.94/108.34 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.34 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.34 'least_upper_bound'( Y, identity ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.34 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 107.94/108.34 , Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 107.94/108.34 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.34 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.34 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 107.94/108.34 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 107.94/108.34 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.34 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.34 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 194, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 198, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 107.94/108.34 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 107.94/108.34 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 204, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.34 inverse( X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 107.94/108.34 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 233, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.34 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 252, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 312, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), T
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 107.94/108.34 'least_upper_bound'( X, T ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.34 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 107.94/108.34 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 107.94/108.34 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 551, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 107.94/108.34 identity, Y ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.34 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.34 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 564, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 107.94/108.34 Y, identity ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 107.94/108.34 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.34 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.34 ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 675, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 107.94/108.34 inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 107.94/108.34 identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 753, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.34 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ),
% 107.94/108.34 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 107.94/108.34 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 107.94/108.34 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 811, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 107.94/108.34 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 851, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 107.94/108.34 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 869, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z )
% 107.94/108.34 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 871, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.34 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 107.94/108.34 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 872, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) )
% 107.94/108.34 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 924, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 967, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 107.94/108.34 identity, X ), Y ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1016, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1025, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 107.94/108.34 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1043, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.34 'least_upper_bound'( identity, Y ), X ), Z ), X ), 'greatest_lower_bound'(
% 107.94/108.34 X, Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1050, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.34 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 107.94/108.34 ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1200, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 107.94/108.34 Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1206, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.34 identity, Y ), X ), Z ), 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.34 multiply( Y, X ), X ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.34 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.34 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.34 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1261, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 107.94/108.34 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 107.94/108.34 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1308, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X, Y
% 107.94/108.34 ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.34 , identity ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 107.94/108.34 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.34 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 identity, X ) ), identity ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.34 identity ) ), identity ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 107.94/108.34 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 107.94/108.34 identity, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.34 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1533, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 107.94/108.34 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 1572, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 107.94/108.34 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.34 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 107.94/108.34 ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1761, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 107.94/108.34 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 1770, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 107.94/108.34 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 107.94/108.34 )
% 107.94/108.34 .
% 107.94/108.34 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.34 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 107.94/108.34 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 107.94/108.34 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 107.94/108.34 inverse( Y ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 107.94/108.34 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 107.94/108.34 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.34 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 107.94/108.34 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 inverse( X ), identity ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.34 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.34 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 107.94/108.34 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 107.94/108.34 Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 107.94/108.34 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 107.94/108.34 , Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 107.94/108.34 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.34 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.34 inverse( X ), Y ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.34 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.34 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 107.94/108.34 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 107.94/108.34 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 107.94/108.34 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 107.94/108.34 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.34 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 107.94/108.34 , inverse( Y ) ) ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.34 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 107.94/108.34 ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 107.94/108.34 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 107.94/108.34 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12280, [ =( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.34 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 107.94/108.34 , identity ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12290, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.34 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12294, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12313, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.34 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12329, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.34 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.34 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12415, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 107.94/108.34 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12437, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 107.94/108.34 , Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12492, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.34 identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12494, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 107.94/108.34 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 12523, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.34 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 25066, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y,
% 107.94/108.34 identity ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), inverse( X
% 107.94/108.34 ) ) ), 'least_upper_bound'( Y, identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 35922, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 107.94/108.34 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ),
% 107.94/108.34 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 35942, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( Y, X ), inverse( Y ) ), 'least_upper_bound'(
% 107.94/108.34 identity, X ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.34 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.34 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 107.94/108.34 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39005, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 107.94/108.34 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.34 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39121, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 107.94/108.34 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39274, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.34 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39357, [ =( multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.34 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39447, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.34 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 107.94/108.34 ) ] )
% 107.94/108.34 .
% 107.94/108.34 clause( 39671, [] )
% 107.94/108.34 .
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 % SZS output end Refutation
% 107.94/108.34 found a proof!
% 107.94/108.34
% 107.94/108.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 107.94/108.34
% 107.94/108.34 initialclauses(
% 107.94/108.34 [ clause( 39673, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.34 , clause( 39674, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 , clause( 39675, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.34 multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39676, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.34 'greatest_lower_bound'( Y, X ) ) ] )
% 107.94/108.34 , clause( 39677, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 107.94/108.34 X ) ) ] )
% 107.94/108.34 , clause( 39678, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 107.94/108.34 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 107.94/108.34 )
% 107.94/108.34 , clause( 39679, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 107.94/108.34 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39680, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 107.94/108.34 , clause( 39681, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 107.94/108.34 , clause( 39682, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ), X ) ] )
% 107.94/108.34 , clause( 39683, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.34 ) ), X ) ] )
% 107.94/108.34 , clause( 39684, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.34 , clause( 39685, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.34 , clause( 39686, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39687, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39688, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.34 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 ] ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.34 , clause( 39673, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 , clause( 39674, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39694, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 107.94/108.34 , Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39675, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.34 multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 107.94/108.34 , Z ) ) ] )
% 107.94/108.34 , clause( 39694, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 107.94/108.34 X, Y ), Z ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 107.94/108.34 X ) ) ] )
% 107.94/108.34 , clause( 39676, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.34 'greatest_lower_bound'( Y, X ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 107.94/108.34 ] )
% 107.94/108.34 , clause( 39677, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 107.94/108.34 X ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 107.94/108.34 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39678, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 107.94/108.34 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 107.94/108.34 )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.34 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39679, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 107.94/108.34 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 107.94/108.34 , clause( 39681, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 107.94/108.34 ) ] )
% 107.94/108.34 , clause( 39682, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 , clause( 39683, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.34 ) ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39743, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.34 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39684, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 107.94/108.34 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39743, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 107.94/108.34 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39754, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 107.94/108.34 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39685, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.34 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 39754, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 107.94/108.34 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39766, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.34 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39686, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.34 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 107.94/108.34 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39766, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.34 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39779, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 107.94/108.34 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39687, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 107.94/108.34 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.34 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , clause( 39779, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 107.94/108.34 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.34 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 , clause( 39688, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.34 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 107.94/108.34 ] )
% 107.94/108.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39794, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 107.94/108.34 Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.34 ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39797, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 107.94/108.34 ), identity ) ] )
% 107.94/108.34 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 , 0, clause( 39794, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.34 multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 107.94/108.34 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 107.94/108.34 , identity ) ] )
% 107.94/108.34 , clause( 39797, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 107.94/108.34 , Y ), identity ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39803, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 107.94/108.34 Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.34 ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39808, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 107.94/108.34 , identity ) ) ] )
% 107.94/108.34 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.34 , 0, clause( 39803, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.34 multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.34 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 107.94/108.34 identity ) ) ] )
% 107.94/108.34 , clause( 39808, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 107.94/108.34 X, identity ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39813, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 107.94/108.34 Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.34 ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39818, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 107.94/108.34 ) ) ] )
% 107.94/108.34 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.34 , 0, clause( 39813, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.34 multiply( Y, Z ) ) ) ] )
% 107.94/108.34 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.34 :=( Y, identity ), :=( Z, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 107.94/108.34 ] )
% 107.94/108.34 , clause( 39818, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 107.94/108.34 Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39823, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39824, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.34 , X ) ) ] )
% 107.94/108.34 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.34 , X ) ) ] )
% 107.94/108.34 , 0, clause( 39823, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 107.94/108.34 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39827, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 107.94/108.34 ), X ) ] )
% 107.94/108.34 , clause( 39824, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.34 ), X ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 , clause( 39827, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.34 X ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39828, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39829, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.34 ) ] )
% 107.94/108.34 , 0, clause( 39828, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.34 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39832, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 107.94/108.34 ), X ) ] )
% 107.94/108.34 , clause( 39829, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 107.94/108.34 , X ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 , clause( 39832, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 107.94/108.34 ) ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39833, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.34 , X ) ) ] )
% 107.94/108.34 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39834, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.34 , X ) ) ] )
% 107.94/108.34 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.34 ) ] )
% 107.94/108.34 , 0, clause( 39833, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 107.94/108.34 , Y ), X ) ) ] )
% 107.94/108.34 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.34 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39837, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 107.94/108.34 ), X ) ] )
% 107.94/108.34 , clause( 39834, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 107.94/108.34 ), X ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 107.94/108.34 X ) ] )
% 107.94/108.34 , clause( 39837, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.34 X ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39839, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39844, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 107.94/108.34 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.34 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, clause( 39839, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.34 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 107.94/108.34 ] )
% 107.94/108.34 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.34 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.34 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 107.94/108.34 , clause( 39844, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 107.94/108.34 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39849, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39852, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, clause( 39849, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.34 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 107.94/108.34 ] )
% 107.94/108.34 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.34 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 107.94/108.34 , clause( 39852, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.34 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39856, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39859, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 107.94/108.34 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.34 , X ) ) ] )
% 107.94/108.34 , 0, clause( 39856, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.34 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 107.94/108.34 ] )
% 107.94/108.34 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 107.94/108.34 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 107.94/108.34 , clause( 39859, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.34 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 107.94/108.34 )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39874, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.34 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39880, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 107.94/108.34 , 0, clause( 39874, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.34 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 107.94/108.34 ] )
% 107.94/108.34 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.34 :=( Y, Y ), :=( Z, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 107.94/108.34 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 107.94/108.34 , clause( 39880, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.34 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39886, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39889, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 107.94/108.34 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, clause( 39886, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.34 Y, X ) ) ) ] )
% 107.94/108.34 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.34 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39890, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.34 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39889, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.34 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 107.94/108.34 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39890, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.34 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39892, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39893, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 107.94/108.34 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.34 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.34 , 0, clause( 39892, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 107.94/108.34 ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39894, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 107.94/108.34 , clause( 39893, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 107.94/108.34 , clause( 39894, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39896, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39899, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Y ), Y ) ) ] )
% 107.94/108.34 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, clause( 39896, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.34 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39900, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39899, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Y ), Y ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39900, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 107.94/108.34 , 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39902, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 paramod(
% 107.94/108.34 clause( 39905, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Y ), X ) ) ] )
% 107.94/108.34 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.34 , X ) ] )
% 107.94/108.34 , 0, clause( 39902, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.34 X, Y ) ) ) ] )
% 107.94/108.34 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.34 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39906, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39905, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.34 'least_upper_bound'( X, Y ), X ) ) ] )
% 107.94/108.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 subsumption(
% 107.94/108.34 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.34 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , clause( 39906, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.34 , 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.34 )] ) ).
% 107.94/108.34
% 107.94/108.34
% 107.94/108.34 eqswap(
% 107.94/108.34 clause( 39907, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.34 ) ) ) ] )
% 107.94/108.34 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39908, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 39907, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.35 X, Y ) ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39911, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 107.94/108.35 ), X ) ] )
% 107.94/108.35 , clause( 39908, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 107.94/108.35 X ) ] )
% 107.94/108.35 , clause( 39911, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 107.94/108.35 ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39912, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39913, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 39912, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.35 X, Y ) ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 107.94/108.35 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39916, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 107.94/108.35 ), X ) ] )
% 107.94/108.35 , clause( 39913, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.35 ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 107.94/108.35 X ) ] )
% 107.94/108.35 , clause( 39916, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39917, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39918, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 39917, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.35 Y, X ) ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 107.94/108.35 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39921, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 107.94/108.35 ), X ) ] )
% 107.94/108.35 , clause( 39918, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 107.94/108.35 ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 107.94/108.35 X ) ] )
% 107.94/108.35 , clause( 39921, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39923, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , Y ) ) ] )
% 107.94/108.35 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39924, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39923, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), Y ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39925, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 39924, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ) ] )
% 107.94/108.35 , clause( 39925, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39927, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39932, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), Z ), 'least_upper_bound'( X, Z ) ) ] )
% 107.94/108.35 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, clause( 39927, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 42, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 107.94/108.35 , clause( 39932, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), Z ), 'least_upper_bound'( X, Z ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39937, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39938, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 107.94/108.35 , X ), Y ) ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39937, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.35 Y, X ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39939, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 39938, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 107.94/108.35 , X ), Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 107.94/108.35 'least_upper_bound'( Y, Z ) ) ] )
% 107.94/108.35 , clause( 39939, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39941, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39942, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39941, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39943, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 39942, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 39943, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39944, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39947, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 39944, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 107.94/108.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.35 , clause( 39947, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 107.94/108.35 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39961, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39966, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 39961, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39979, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39966, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , clause( 39979, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 107.94/108.35 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39981, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39982, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39981, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39983, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 39982, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 39983, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 39985, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 39998, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , 0, clause( 39985, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40000, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 39998, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40001, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40000, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'least_upper_bound'( Y, Z ) ), Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40001, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40006, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40007, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 107.94/108.35 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.35 ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40006, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40009, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 107.94/108.35 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 40007, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 107.94/108.35 ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.35 T ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 107.94/108.35 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 40009, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z )
% 107.94/108.35 , multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 107.94/108.35 , T ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40012, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40014, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 107.94/108.35 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.35 ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40012, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, T ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40016, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 107.94/108.35 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 107.94/108.35 , T ) ) ) ) ] )
% 107.94/108.35 , clause( 40014, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T )
% 107.94/108.35 ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ),
% 107.94/108.35 T ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply( multiply(
% 107.94/108.35 X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y, Z ) ) )
% 107.94/108.35 ) ] )
% 107.94/108.35 , clause( 40016, [ =( 'least_upper_bound'( multiply( X, Y ), multiply(
% 107.94/108.35 multiply( X, Z ), T ) ), multiply( X, 'least_upper_bound'( Y, multiply( Z
% 107.94/108.35 , T ) ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40017, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40019, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 40017, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40021, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, clause( 40019, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 107.94/108.35 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 40021, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 107.94/108.35 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40023, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40025, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 107.94/108.35 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40023, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.35 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40028, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 107.94/108.35 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40025, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 107.94/108.35 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 107.94/108.35 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40028, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 107.94/108.35 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40031, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40034, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 107.94/108.35 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40031, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.35 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40037, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.35 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , clause( 40034, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 107.94/108.35 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 107.94/108.35 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , clause( 40037, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.35 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40039, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40042, [ =( multiply( inverse( identity ), X ), multiply( identity
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40039, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 107.94/108.35 ), Y ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 107.94/108.35 inverse( identity ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40043, [ =( multiply( inverse( identity ), X ), X ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40042, [ =( multiply( inverse( identity ), X ), multiply(
% 107.94/108.35 identity, X ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 107.94/108.35 , clause( 40043, [ =( multiply( inverse( identity ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40046, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 107.94/108.35 Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.35 ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40051, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 107.94/108.35 multiply( X, Y ) ) ] )
% 107.94/108.35 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 107.94/108.35 , 0, clause( 40046, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 107.94/108.35 multiply( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 107.94/108.35 multiply( Y, X ) ) ] )
% 107.94/108.35 , clause( 40051, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 107.94/108.35 multiply( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40056, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40058, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40056, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ), :=( Y, X
% 107.94/108.35 ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X, Y )
% 107.94/108.35 ), :=( Y, Z ), :=( Z, T )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40059, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.35 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 40058, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.35 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 40059, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.35 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40060, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40062, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 40060, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 107.94/108.35 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40068, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40062, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Z
% 107.94/108.35 , 'greatest_lower_bound'( X, Y ) ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40069, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 40068, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.35 , clause( 40069, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40070, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 107.94/108.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40072, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 40070, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40074, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 107.94/108.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, clause( 40072, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 107.94/108.35 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 40074, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40076, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 107.94/108.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40079, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 107.94/108.35 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40076, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.35 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40082, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 107.94/108.35 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40079, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 107.94/108.35 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 107.94/108.35 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40082, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 107.94/108.35 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40084, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40089, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , Z ), 'greatest_lower_bound'( Y, 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 107.94/108.35 , clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.35 , 0, clause( 40084, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 X, Y ), Z ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40090, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), Z ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40089, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), Z ), 'greatest_lower_bound'( Y, 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'( X, Y
% 107.94/108.35 ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 107.94/108.35 )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40092, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Y ), Z ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40090, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y,
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), Z ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40093, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , 0, clause( 40092, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Y ), Z ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 87, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 40093, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.35 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40095, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40098, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, clause( 40095, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40099, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ), Y ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40098, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, X )
% 107.94/108.35 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40100, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40099, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z
% 107.94/108.35 ), X ), Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40100, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40101, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40103, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 107.94/108.35 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 40101, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 107.94/108.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40109, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40103, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 107.94/108.35 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40110, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 107.94/108.35 , clause( 40109, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.35 , clause( 40110, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40112, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40117, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.35 , Z ) ) ) ] )
% 107.94/108.35 , clause( 99, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 107.94/108.35 , 0, clause( 40112, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 107.94/108.35 ), Z ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40118, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X, Y )
% 107.94/108.35 ), Z ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40117, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X
% 107.94/108.35 , Y ), Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) )
% 107.94/108.35 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40120, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Y
% 107.94/108.35 ), Z ) ) ] )
% 107.94/108.35 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40118, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X
% 107.94/108.35 , Y ) ), Z ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40121, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , 0, clause( 40120, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.35 Z ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 107.94/108.35 ), Y ), Z ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 102, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 40121, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 107.94/108.35 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40122, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40124, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 40122, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40126, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40124, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40126, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 107.94/108.35 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40128, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40129, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 107.94/108.35 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40128, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 107.94/108.35 identity ), :=( Y, Y ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40131, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.35 'least_upper_bound'( identity, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40129, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 107.94/108.35 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.35 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.35 , clause( 40131, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.35 'least_upper_bound'( identity, X ), Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40134, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40136, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40134, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y ), :=( Z, identity )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40138, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 107.94/108.35 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.35 , clause( 40136, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.35 'least_upper_bound'( Y, identity ), X ) ) ] )
% 107.94/108.35 , clause( 40138, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 107.94/108.35 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40140, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 107.94/108.35 identity ) ), Y ) ) ] )
% 107.94/108.35 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 107.94/108.35 multiply( Y, X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40143, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 107.94/108.35 identity, X ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40140, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 107.94/108.35 identity ) ), Y ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 107.94/108.35 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40144, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40143, [ =( multiply( inverse( inverse( identity ) ), X ),
% 107.94/108.35 multiply( identity, X ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 107.94/108.35 , clause( 40144, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40147, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40148, [ =( multiply( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 107.94/108.35 ), multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40147, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 107.94/108.35 :=( Z, T )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40149, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.35 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 107.94/108.35 , Y ) ) ] )
% 107.94/108.35 , clause( 40148, [ =( multiply( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 107.94/108.35 ), multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.35 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 107.94/108.35 , Y ) ) ] )
% 107.94/108.35 , clause( 40149, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.35 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 107.94/108.35 , Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40152, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 40150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40154, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40152, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40154, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 107.94/108.35 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40156, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40157, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 107.94/108.35 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40156, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 107.94/108.35 identity ), :=( Y, Y ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40159, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.35 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40157, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 107.94/108.35 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.35 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 107.94/108.35 , clause( 40159, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 107.94/108.35 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40162, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40164, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40162, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y ), :=( Z, identity )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40166, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 107.94/108.35 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 107.94/108.35 , clause( 40164, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 107.94/108.35 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.35 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 107.94/108.35 , clause( 40166, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 107.94/108.35 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40167, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 107.94/108.35 , clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40169, [ =( inverse( identity ), identity ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40167, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 107.94/108.35 ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 107.94/108.35 , [ :=( X, inverse( identity ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.35 , clause( 40169, [ =( inverse( identity ), identity ) ] )
% 107.94/108.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40172, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 107.94/108.35 Y ) ), Y ) ) ] )
% 107.94/108.35 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 107.94/108.35 , identity ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40175, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 107.94/108.35 identity, X ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40172, [ =( multiply( X, identity ), multiply( multiply( X,
% 107.94/108.35 inverse( Y ) ), Y ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 107.94/108.35 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40175, [ =( multiply( inverse( inverse( X ) ), identity ),
% 107.94/108.35 multiply( identity, X ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , clause( 40176, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40179, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40182, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40179, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 107.94/108.35 ), Y ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.35 inverse( X ) ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 107.94/108.35 ) ] )
% 107.94/108.35 , clause( 40182, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 107.94/108.35 Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40189, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40192, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 107.94/108.35 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 107.94/108.35 ), Y ) ) ) ] )
% 107.94/108.35 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40189, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.35 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40202, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 107.94/108.35 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40192, [ =( multiply( inverse( inverse( X ) ),
% 107.94/108.35 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 107.94/108.35 inverse( inverse( X ) ), Y ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40204, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40202, [ =( multiply( inverse( inverse( X ) ),
% 107.94/108.35 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 107.94/108.35 , Y ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 107.94/108.35 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40205, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , clause( 40204, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 107.94/108.35 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , clause( 40205, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40207, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40211, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 107.94/108.35 Y, identity ) ), 'least_upper_bound'( multiply( inverse( inverse( X ) ),
% 107.94/108.35 Y ), X ) ) ] )
% 107.94/108.35 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40207, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.35 inverse( inverse( X ) ) ), :=( Y, Y ), :=( Z, identity )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40213, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 107.94/108.35 Y, identity ) ), 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40211, [ =( multiply( inverse( inverse( X ) ),
% 107.94/108.35 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply(
% 107.94/108.35 inverse( inverse( X ) ), Y ), X ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40215, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40213, [ =( multiply( inverse( inverse( X ) ),
% 107.94/108.35 'least_upper_bound'( Y, identity ) ), 'least_upper_bound'( multiply( X, Y
% 107.94/108.35 ), X ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 107.94/108.35 identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40216, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40215, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40216, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 107.94/108.35 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40217, [ ~( =( identity, 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( a, identity ), 'least_upper_bound'( inverse( a ),
% 107.94/108.35 identity ) ) ) ) ] )
% 107.94/108.35 , clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.35 identity ), 'least_upper_bound'( inverse( a ), identity ) ), identity ) )
% 107.94/108.35 ] )
% 107.94/108.35 , 0, substitution( 0, [] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40219, [ ~( =( identity, 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( a, identity ), 'least_upper_bound'( identity,
% 107.94/108.35 inverse( a ) ) ) ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 40217, [ ~( =( identity, 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( a, identity ), 'least_upper_bound'( inverse( a ),
% 107.94/108.35 identity ) ) ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, identity )] ),
% 107.94/108.35 substitution( 1, [] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40225, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.35 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 107.94/108.35 ] )
% 107.94/108.35 , clause( 40219, [ ~( =( identity, 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( a, identity ), 'least_upper_bound'( identity,
% 107.94/108.35 inverse( a ) ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.35 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 107.94/108.35 ] )
% 107.94/108.35 , clause( 40225, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.35 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 107.94/108.35 ] )
% 107.94/108.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40226, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40229, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40226, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 107.94/108.35 ), Y ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, identity )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , clause( 40229, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40234, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40237, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, clause( 40234, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 107.94/108.35 ), Y ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, inverse( X ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.35 , clause( 40237, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40240, [ =( X, multiply( X, identity ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40243, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40240, [ =( X, multiply( X, identity ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 107.94/108.35 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40244, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40243, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 107.94/108.35 ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.35 , clause( 40244, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40247, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 107.94/108.35 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40248, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40247, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, identity ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40250, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , clause( 40248, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 107.94/108.35 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , clause( 40250, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40253, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 107.94/108.35 Y ) ), Y ) ) ] )
% 107.94/108.35 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 107.94/108.35 , identity ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40255, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 107.94/108.35 inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.35 , 0, clause( 40253, [ =( multiply( X, identity ), multiply( multiply( X,
% 107.94/108.35 inverse( Y ) ), Y ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, inverse( Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40256, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40255, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 107.94/108.35 ), inverse( Y ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40257, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 107.94/108.35 , clause( 40256, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , clause( 40257, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40259, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 107.94/108.35 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40261, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 107.94/108.35 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.35 , 0, clause( 40259, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 107.94/108.35 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 194, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 107.94/108.35 , clause( 40261, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 107.94/108.35 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40265, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40270, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 107.94/108.35 identity, inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 107.94/108.35 ), identity ) ] )
% 107.94/108.35 , 0, clause( 40265, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40271, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.35 , 0, clause( 40270, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 107.94/108.35 multiply( identity, inverse( Y ) ) ) ] )
% 107.94/108.35 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 107.94/108.35 ) ] )
% 107.94/108.35 , clause( 40271, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 107.94/108.35 Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40274, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.35 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40275, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 107.94/108.35 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, clause( 40274, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.35 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 198, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 107.94/108.35 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 107.94/108.35 ) ] )
% 107.94/108.35 , clause( 40275, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 107.94/108.35 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40280, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 107.94/108.35 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40282, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 107.94/108.35 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, clause( 40280, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 107.94/108.35 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40282, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 107.94/108.35 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 107.94/108.35 ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40285, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40289, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 107.94/108.35 inverse( multiply( X, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40285, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 107.94/108.35 ), X ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40290, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40289, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 107.94/108.35 inverse( multiply( X, Y ) ) ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 107.94/108.35 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40291, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 40290, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , clause( 40291, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 107.94/108.35 X ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40293, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40296, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 107.94/108.35 inverse( X ) ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40293, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40297, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 107.94/108.35 multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40296, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 107.94/108.35 inverse( X ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 204, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 107.94/108.35 X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40297, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 107.94/108.35 multiply( X, Y ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40299, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40304, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.35 inverse( multiply( X, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 107.94/108.35 , identity ) ) ] )
% 107.94/108.35 , 0, clause( 40299, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 107.94/108.35 ) ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40305, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.35 inverse( X ) ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40304, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 107.94/108.35 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.35 inverse( X ) ) ) ] )
% 107.94/108.35 , clause( 40305, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.35 inverse( X ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40307, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 107.94/108.35 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.35 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40310, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 40307, [ =( 'greatest_lower_bound'( X, Z ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 107.94/108.35 , Z ) ), Z ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 107.94/108.35 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 107.94/108.35 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40323, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40310, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.35 Z, Y ) ) ) ) ] )
% 107.94/108.35 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 107.94/108.35 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 107.94/108.35 ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40324, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 107.94/108.35 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 40323, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 107.94/108.35 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.35 , clause( 40324, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 107.94/108.35 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40325, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 107.94/108.35 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.35 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40328, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ), Y ) ) ] )
% 107.94/108.35 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , 0, clause( 40325, [ =( 'greatest_lower_bound'( X, Z ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 107.94/108.35 , Z ) ), Z ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Z, Y ) )] )
% 107.94/108.35 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40341, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Z, Y ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40328, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y
% 107.94/108.35 ), X ), Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 233, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , clause( 40341, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Z, Y ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40343, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40346, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 107.94/108.35 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.35 , 0, clause( 40343, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 107.94/108.35 'least_upper_bound'( Z, X ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40347, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 40346, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , clause( 40347, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40348, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40351, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 107.94/108.35 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 107.94/108.35 , clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , 0, clause( 40348, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 107.94/108.35 ) ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40354, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40351, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.35 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 107.94/108.35 ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 107.94/108.35 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40354, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40355, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 107.94/108.35 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40356, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 107.94/108.35 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , 0, clause( 40355, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ), :=( Z, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40359, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.35 , clause( 40356, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 107.94/108.35 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 252, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 107.94/108.35 , clause( 40359, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40360, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40361, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 107.94/108.35 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40360, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40364, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 107.94/108.35 , clause( 40361, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.35 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 107.94/108.35 , clause( 40364, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40365, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40368, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 107.94/108.35 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 107.94/108.35 , clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 107.94/108.35 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.35 , 0, clause( 40365, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 107.94/108.35 ) ) ) ) ] )
% 107.94/108.35 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40371, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 107.94/108.35 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40368, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 107.94/108.35 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 107.94/108.35 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 107.94/108.35 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 40371, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 107.94/108.35 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40372, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 107.94/108.35 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40373, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 107.94/108.35 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40372, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.35 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40376, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 107.94/108.35 'least_upper_bound'( Y, X ) ), identity ) ] )
% 107.94/108.35 , clause( 40373, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 107.94/108.35 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ), identity ) ] )
% 107.94/108.35 , clause( 40376, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 107.94/108.35 'least_upper_bound'( Y, X ) ), identity ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40378, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40438, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, T ) ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 107.94/108.35 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.35 , 0, clause( 40378, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 107.94/108.35 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 107.94/108.35 ] )
% 107.94/108.35 , 0, 11, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'greatest_lower_bound'( Y, T ) ), :=( Y,
% 107.94/108.35 'least_upper_bound'( X, Y ) ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40439, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), Y ), T ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, clause( 40438, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, T ) ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), Z ) ), :=( Y, Y ), :=( Z, T )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40440, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y )
% 107.94/108.35 , T ), 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 233, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'least_upper_bound'( Y, Z ), X ), Z ), 'greatest_lower_bound'( X, Z ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, clause( 40439, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), Y ), T ),
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 312, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), T
% 107.94/108.35 ), 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ), Y ) ) ] )
% 107.94/108.35 , clause( 40440, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, Y
% 107.94/108.35 ), T ), 'greatest_lower_bound'( 'greatest_lower_bound'( T, Y ), Z ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40442, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.35 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40458, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 107.94/108.35 'least_upper_bound'( X, T ) ) ] )
% 107.94/108.35 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 107.94/108.35 , 0, clause( 40442, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.35 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.35 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 107.94/108.35 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, T )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 107.94/108.35 'least_upper_bound'( X, T ) ) ] )
% 107.94/108.35 , clause( 40458, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.35 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 107.94/108.35 'least_upper_bound'( X, T ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40463, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40464, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40463, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 107.94/108.35 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40464, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40466, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40467, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40468, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 107.94/108.35 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 40466, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 107.94/108.35 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40467, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40469, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 107.94/108.35 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.35 , clause( 40468, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 107.94/108.35 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.35 , clause( 40469, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 107.94/108.35 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40471, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40490, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 107.94/108.35 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 107.94/108.35 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 107.94/108.35 ), identity ) ] )
% 107.94/108.35 , 0, clause( 40471, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 107.94/108.35 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40492, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 107.94/108.35 Y ), identity ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40490, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.35 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 107.94/108.35 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40493, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 107.94/108.35 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40492, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.35 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 107.94/108.35 inverse( Y ), identity ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 107.94/108.35 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , clause( 40493, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 107.94/108.35 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40498, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , X ) ) ] )
% 107.94/108.35 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40499, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40498, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.35 , Y ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40500, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 107.94/108.35 , clause( 40499, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 551, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 107.94/108.35 identity, Y ) ), X ), X ) ] )
% 107.94/108.35 , clause( 40500, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40502, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40504, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 107.94/108.35 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, clause( 40502, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 107.94/108.35 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 107.94/108.35 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40505, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40504, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 107.94/108.35 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40506, [ =( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , clause( 40505, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.35 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 107.94/108.35 , clause( 40506, [ =( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40508, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 107.94/108.35 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40510, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 107.94/108.35 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, clause( 40508, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 107.94/108.35 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 107.94/108.35 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity, Y ) )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40511, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.35 , 0, clause( 40510, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 107.94/108.35 , multiply( X, 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.35 :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40512, [ =( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.35 , clause( 40511, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.35 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 107.94/108.35 , clause( 40512, [ =( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40513, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 107.94/108.35 , clause( 551, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40514, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 107.94/108.35 , clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40513, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40517, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 107.94/108.35 , clause( 40514, [ =( X, 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 564, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 107.94/108.35 Y, identity ) ), X ), X ) ] )
% 107.94/108.35 , clause( 40517, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40519, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 107.94/108.35 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40521, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 564, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 107.94/108.35 , 0, clause( 40519, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.35 'least_upper_bound'( X, Y ), X ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 107.94/108.35 ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40522, [ =( X, 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 564, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 107.94/108.35 , 0, clause( 40521, [ =( 'least_upper_bound'( multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 107.94/108.35 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40524, [ =( 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , clause( 40522, [ =( X, 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , clause( 40524, [ =( 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40527, [ =( X, 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40528, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.35 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.35 identity ) ) ] )
% 107.94/108.35 , clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 107.94/108.35 , 0, clause( 40527, [ =( X, 'least_upper_bound'( X, multiply( X,
% 107.94/108.35 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 107.94/108.35 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 107.94/108.35 ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40529, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 40528, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.35 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.35 identity ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 40529, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40531, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.35 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40532, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.35 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.35 identity ) ) ] )
% 107.94/108.35 , clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 107.94/108.35 'least_upper_bound'( X, Y ) ), identity ) ] )
% 107.94/108.35 , 0, clause( 40531, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 107.94/108.35 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 107.94/108.35 , :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40533, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 40532, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.35 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.35 identity ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , clause( 40533, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.35 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40535, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 107.94/108.35 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 107.94/108.35 , clause( 252, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40539, [ =( identity, multiply( 'greatest_lower_bound'( multiply( X
% 107.94/108.35 , Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , 0, clause( 40535, [ =( identity, multiply( 'greatest_lower_bound'( X, Y )
% 107.94/108.35 , inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 107.94/108.35 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40541, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X )
% 107.94/108.35 , inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 107.94/108.35 identity ) ] )
% 107.94/108.35 , clause( 40539, [ =( identity, multiply( 'greatest_lower_bound'( multiply(
% 107.94/108.35 X, Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity )
% 107.94/108.35 ) ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 675, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 107.94/108.35 inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 107.94/108.35 identity ) ] )
% 107.94/108.35 , clause( 40541, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X
% 107.94/108.35 ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 107.94/108.35 identity ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40543, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.35 ) ) ) ] )
% 107.94/108.35 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.35 , X ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40546, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.35 ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ) ) ] )
% 107.94/108.35 , clause( 42, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 107.94/108.35 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 107.94/108.35 , 0, clause( 40543, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.35 X, Y ) ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 107.94/108.35 substitution( 1, [ :=( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.35 Y, Z ) ) ), :=( Y, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40547, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ),
% 107.94/108.35 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 40546, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 107.94/108.35 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 753, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ),
% 107.94/108.35 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , clause( 40547, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.35 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ),
% 107.94/108.35 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40548, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40549, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40548, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 107.94/108.35 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 107.94/108.35 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 107.94/108.35 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , clause( 40549, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 107.94/108.35 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40552, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40571, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 107.94/108.35 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 107.94/108.35 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 107.94/108.35 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 107.94/108.35 ), identity ) ] )
% 107.94/108.35 , 0, clause( 40552, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 107.94/108.35 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40573, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 107.94/108.35 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 107.94/108.35 identity ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40571, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.35 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 107.94/108.35 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 107.94/108.35 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40574, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 107.94/108.35 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.35 ) ) ] )
% 107.94/108.35 , 0, clause( 40573, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.35 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 107.94/108.35 ), identity ) ) ] )
% 107.94/108.35 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.35 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 107.94/108.35 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , clause( 40574, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 107.94/108.35 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40578, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40580, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 107.94/108.35 ) ] )
% 107.94/108.35 , 0, clause( 40578, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 107.94/108.35 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 107.94/108.35 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 subsumption(
% 107.94/108.35 clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , clause( 40580, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.35 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.35 )] ) ).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40587, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.35 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 eqswap(
% 107.94/108.35 clause( 40588, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.35 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.35 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.35
% 107.94/108.35
% 107.94/108.35 paramod(
% 107.94/108.35 clause( 40589, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 107.94/108.35 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.35 , clause( 40587, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 107.94/108.35 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 107.94/108.35 , 0, clause( 40588, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.35 )
% 107.94/108.35 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40590, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 107.94/108.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40589, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y )
% 107.94/108.36 ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 811, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 107.94/108.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40590, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 107.94/108.36 , inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40592, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 107.94/108.36 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 107.94/108.36 , clause( 172, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 107.94/108.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , 0, clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 851, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity )
% 107.94/108.36 ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 107.94/108.36 , clause( 40592, [ =( inverse( multiply( X, 'least_upper_bound'( Y,
% 107.94/108.36 identity ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40595, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 107.94/108.36 , X ), Y ) ) ) ] )
% 107.94/108.36 , clause( 45, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 107.94/108.36 'least_upper_bound'( Y, Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40598, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 40595, [ =( 'least_upper_bound'( X, Y ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40604, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , clause( 40598, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.36 , clause( 40604, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40609, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ), Z ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.36 , 0, clause( 87, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 107.94/108.36 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, 'least_upper_bound'( X, Y )
% 107.94/108.36 ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40611, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z
% 107.94/108.36 ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.36 , 0, clause( 40609, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ), Z ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 869, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z )
% 107.94/108.36 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , clause( 40611, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 107.94/108.36 Z ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40614, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 107.94/108.36 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 107.94/108.36 , clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.36 , 0, clause( 312, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 107.94/108.36 ), T ), 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ), Y ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, X ), :=( Z, T ), :=( T,
% 107.94/108.36 'least_upper_bound'( Z, Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 871, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , clause( 40614, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 107.94/108.36 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40616, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.36 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.36 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40619, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 107.94/108.36 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 866, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 107.94/108.36 , 0, clause( 40616, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.36 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z,
% 107.94/108.36 'least_upper_bound'( Z, Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40620, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 107.94/108.36 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 871, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 107.94/108.36 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 40619, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 107.94/108.36 , 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( Z, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40621, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X )
% 107.94/108.36 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , clause( 40620, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ),
% 107.94/108.36 X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 872, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) )
% 107.94/108.36 , 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , clause( 40621, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( Y, X
% 107.94/108.36 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40622, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y ), X
% 107.94/108.36 ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 872, [ =( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y )
% 107.94/108.36 ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40625, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.36 'least_upper_bound'( Y, Z ) ), T ), 'greatest_lower_bound'( T,
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 107.94/108.36 , clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.36 , 0, clause( 40622, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Z, Y
% 107.94/108.36 ), X ), 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.36 substitution( 1, [ :=( X, T ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=(
% 107.94/108.36 Z, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40628, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), Z ), T ), 'greatest_lower_bound'( T,
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 107.94/108.36 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 40625, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.36 'least_upper_bound'( Y, Z ) ), T ), 'greatest_lower_bound'( T,
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40629, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Y, X ), Z ) ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ) ] )
% 107.94/108.36 , clause( 40628, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), Z ), T ), 'greatest_lower_bound'( T,
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 924, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 107.94/108.36 , clause( 40629, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Y, X ), Z ) ), 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40631, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 107.94/108.36 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 153, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.36 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40636, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 107.94/108.36 multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 555, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 40631, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 107.94/108.36 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 107.94/108.36 1, [ :=( X, Y ), :=( Y, multiply( identity, 'least_upper_bound'( identity
% 107.94/108.36 , X ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40639, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 107.94/108.36 multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40636, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 107.94/108.36 , multiply( multiply( identity, 'least_upper_bound'( identity, X ) ), Y )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, Y ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40641, [ =( X, 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40639, [ =( multiply( identity, X ), 'greatest_lower_bound'( X
% 107.94/108.36 , multiply( 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40642, [ =( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 107.94/108.36 , clause( 40641, [ =( X, 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 967, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), Y ) ), Y ) ] )
% 107.94/108.36 , clause( 40642, [ =( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40645, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 107.94/108.36 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.36 , 0, clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 107.94/108.36 Y, identity ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 107.94/108.36 :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1016, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 107.94/108.36 , clause( 40645, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40648, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.36 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.36 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 107.94/108.36 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40649, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 107.94/108.36 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 107.94/108.36 , clause( 1016, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 107.94/108.36 , 0, clause( 40648, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 107.94/108.36 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1025, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 107.94/108.36 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 107.94/108.36 , clause( 40649, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 107.94/108.36 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40654, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 107.94/108.36 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40670, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), Y ), Z ), Y ),
% 107.94/108.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 107.94/108.36 , clause( 967, [ =( 'greatest_lower_bound'( Y, multiply(
% 107.94/108.36 'least_upper_bound'( identity, X ), Y ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 40654, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 107.94/108.36 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, Y ), :=( Y, multiply( 'least_upper_bound'( identity, X ), Y ) ),
% 107.94/108.36 :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1043, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ), Z ), X ), 'greatest_lower_bound'(
% 107.94/108.36 X, Z ) ) ] )
% 107.94/108.36 , clause( 40670, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), Y ), Z ), Y ),
% 107.94/108.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40676, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40679, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 107.94/108.36 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 967, [ =( 'greatest_lower_bound'( Y, multiply(
% 107.94/108.36 'least_upper_bound'( identity, X ), Y ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 40676, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.36 Y, X ) ) ) ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( 'least_upper_bound'( identity, X ), Y ) ), :=( Y, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40680, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 40679, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 107.94/108.36 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X ), Y ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1050, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 40680, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), Y ), Y ), multiply( 'least_upper_bound'( identity, X ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40681, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 107.94/108.36 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.36 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40682, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40683, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.36 multiply( Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , clause( 40681, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 107.94/108.36 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , 0, clause( 40682, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 107.94/108.36 ), X ) ) ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'greatest_lower_bound'( Y, identity ) ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40684, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( Y
% 107.94/108.36 , X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 40683, [ =( inverse( X ), multiply( inverse(
% 107.94/108.36 'greatest_lower_bound'( multiply( Y, X ), X ) ), 'greatest_lower_bound'(
% 107.94/108.36 Y, identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1200, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X,
% 107.94/108.36 Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 107.94/108.36 , clause( 40684, [ =( multiply( inverse( 'greatest_lower_bound'( multiply(
% 107.94/108.36 Y, X ), X ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40686, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, Y ), X ), Z ), 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.36 multiply( Y, X ), X ), Z ) ) ] )
% 107.94/108.36 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.36 , 0, clause( 869, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.36 , Z ), 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, multiply( Y, X ) ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1206, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, Y ), X ), Z ), 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.36 multiply( Y, X ), X ), Z ) ) ] )
% 107.94/108.36 , clause( 40686, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, Y ), X ), Z ), 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.36 multiply( Y, X ), X ), Z ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40688, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40709, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 107.94/108.36 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , 0, clause( 40688, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 107.94/108.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40711, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , clause( 40709, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 107.94/108.36 multiply( X, 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , clause( 40711, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40713, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40726, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 107.94/108.36 X ), Y ) ) ) ] )
% 107.94/108.36 , clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.36 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , 0, clause( 40713, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 107.94/108.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.36 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40729, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40726, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 107.94/108.36 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 107.94/108.36 identity, X ), Y ) ) ) ] )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40731, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.36 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40729, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 107.94/108.36 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40732, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , clause( 40731, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.36 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , clause( 40732, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40733, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 107.94/108.36 'least_upper_bound'( identity, Y ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40754, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 107.94/108.36 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 107.94/108.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.36 , 0, clause( 40733, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 107.94/108.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40756, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , clause( 40754, [ =( multiply( 'least_upper_bound'( identity, X ), X ),
% 107.94/108.36 multiply( X, 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , clause( 40756, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40758, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ),
% 107.94/108.36 X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 107.94/108.36 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , 0, clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1261, [ =( inverse( multiply( 'least_upper_bound'( Y, identity ), X
% 107.94/108.36 ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 107.94/108.36 , clause( 40758, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 107.94/108.36 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40761, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 107.94/108.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40765, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40761, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 107.94/108.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 inverse( X ) ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 107.94/108.36 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , clause( 40765, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40768, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.36 'least_upper_bound'( Y, identity ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40769, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y,
% 107.94/108.36 X ), identity ), Z ), 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 X, Y ), Z ), Z ) ) ] )
% 107.94/108.36 , clause( 102, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 40768, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 107.94/108.36 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 107.94/108.36 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40772, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( Y,
% 107.94/108.36 X ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.36 , identity ), Z ) ) ] )
% 107.94/108.36 , clause( 40769, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y
% 107.94/108.36 , X ), identity ), Z ), 'least_upper_bound'( multiply(
% 107.94/108.36 'least_upper_bound'( X, Y ), Z ), Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1308, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X, Y
% 107.94/108.36 ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.36 , identity ), Z ) ) ] )
% 107.94/108.36 , clause( 40772, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( Y
% 107.94/108.36 , X ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( X, Y
% 107.94/108.36 ), identity ), Z ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40773, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.36 'least_upper_bound'( Y, identity ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40774, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40775, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 107.94/108.36 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , clause( 40773, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , 0, clause( 40774, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 107.94/108.36 ), X ) ) ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40776, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 107.94/108.36 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40775, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 107.94/108.36 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 107.94/108.36 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 107.94/108.36 , clause( 40776, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 107.94/108.36 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40778, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40780, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , 0, clause( 40778, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 107.94/108.36 ), X ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40781, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 107.94/108.36 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40780, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'( X,
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40782, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 107.94/108.36 , clause( 40781, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X
% 107.94/108.36 ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 107.94/108.36 , clause( 40782, [ =( multiply( inverse( 'least_upper_bound'( inverse( X )
% 107.94/108.36 , identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40784, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40786, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 107.94/108.36 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 107.94/108.36 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 40784, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.36 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.36 1, [ :=( X, 'least_upper_bound'( identity, X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40787, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40786, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), multiply( 'least_upper_bound'( identity, X )
% 107.94/108.36 , inverse( 'least_upper_bound'( identity, X ) ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 40787, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), identity ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40790, [ =( 'least_upper_bound'( inverse( X ), identity ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40792, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), identity ), multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.36 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 107.94/108.36 , clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 40790, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.36 multiply( 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 107.94/108.36 1, [ :=( X, 'least_upper_bound'( X, identity ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40793, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40792, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 X, identity ) ), identity ), multiply( 'least_upper_bound'( X, identity )
% 107.94/108.36 , inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 40793, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), identity ), identity ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40796, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40797, [ =( 'least_upper_bound'( identity, Y ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Y, inverse( 'least_upper_bound'( identity, X ) ) ),
% 107.94/108.36 identity ) ) ] )
% 107.94/108.36 , clause( 1324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40796, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 107.94/108.36 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 107.94/108.36 :=( Y, inverse( 'least_upper_bound'( identity, X ) ) ), :=( Z, identity )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40799, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ] )
% 107.94/108.36 , clause( 40797, [ =( 'least_upper_bound'( identity, Y ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), identity ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 107.94/108.36 identity, Y ) ) ] )
% 107.94/108.36 , clause( 40799, [ =( 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, Y ) ) ), identity ), 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40802, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.36 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40803, [ =( X, multiply( multiply( 'least_upper_bound'( identity, X
% 107.94/108.36 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 107.94/108.36 , clause( 1207, [ =( multiply( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , 0, clause( 40802, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40804, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 107.94/108.36 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40803, [ =( X, multiply( multiply( 'least_upper_bound'( identity
% 107.94/108.36 , X ), X ), inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.36 X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40804, [ =( multiply( multiply( 'least_upper_bound'( identity, X
% 107.94/108.36 ), X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40806, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z ), T )
% 107.94/108.36 ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply( X, T
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 62, [ =( 'least_upper_bound'( multiply( multiply( X, Y ), Z ),
% 107.94/108.36 multiply( X, T ) ), multiply( X, 'least_upper_bound'( multiply( Y, Z ), T
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40810, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 107.94/108.36 X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ), multiply(
% 107.94/108.36 inverse( X ), Z ) ) ) ] )
% 107.94/108.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.36 , 0, clause( 40806, [ =( multiply( X, 'least_upper_bound'( multiply( Y, Z )
% 107.94/108.36 , T ) ), 'least_upper_bound'( multiply( multiply( X, Y ), Z ), multiply(
% 107.94/108.36 X, T ) ) ) ] )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 inverse( X ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40812, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 107.94/108.36 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40810, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 107.94/108.36 multiply( X, Y ), Z ) ), 'least_upper_bound'( multiply( identity, Y ),
% 107.94/108.36 multiply( inverse( X ), Z ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1533, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply( X
% 107.94/108.36 , Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 40812, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 107.94/108.36 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40815, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z, T ) )
% 107.94/108.36 ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z ), T
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 63, [ =( 'least_upper_bound'( multiply( X, T ), multiply(
% 107.94/108.36 multiply( X, Y ), Z ) ), multiply( X, 'least_upper_bound'( T, multiply( Y
% 107.94/108.36 , Z ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40820, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 107.94/108.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.36 multiply( identity, Z ) ) ) ] )
% 107.94/108.36 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 107.94/108.36 , 0, clause( 40815, [ =( multiply( X, 'least_upper_bound'( Y, multiply( Z,
% 107.94/108.36 T ) ) ), 'least_upper_bound'( multiply( X, Y ), multiply( multiply( X, Z
% 107.94/108.36 ), T ) ) ) ] )
% 107.94/108.36 , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 inverse( X ) ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40821, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 107.94/108.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40820, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 107.94/108.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.36 multiply( identity, Z ) ) ) ] )
% 107.94/108.36 , 0, 14, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1572, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, multiply(
% 107.94/108.36 X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z ) ) ] )
% 107.94/108.36 , clause( 40821, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 107.94/108.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40823, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 107.94/108.36 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 107.94/108.36 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40824, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 107.94/108.36 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40825, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 107.94/108.36 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , clause( 40823, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 107.94/108.36 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 107.94/108.36 , 0, clause( 40824, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40826, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 40825, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 107.94/108.36 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 40826, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40828, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40829, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.36 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , 0, clause( 40828, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 Y, X ) ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40830, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 107.94/108.36 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.36 , clause( 40829, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1761, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 107.94/108.36 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.36 , clause( 40830, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 107.94/108.36 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40832, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , clause( 1761, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 107.94/108.36 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40833, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , clause( 59, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Z, X ), Y ), X ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Z, X ), Y ) ) ] )
% 107.94/108.36 , 0, clause( 40832, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.36 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( Y, X ), Z ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40834, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 107.94/108.36 ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity )
% 107.94/108.36 ] )
% 107.94/108.36 , clause( 40833, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 1770, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y )
% 107.94/108.36 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 40834, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 107.94/108.36 X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ), identity
% 107.94/108.36 ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40836, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40838, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 107.94/108.36 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.36 , 0, clause( 40836, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40839, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40838, [ =( inverse( inverse( X ) ), multiply(
% 107.94/108.36 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 107.94/108.36 X ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40840, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40839, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40840, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40842, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40844, [ =( inverse( inverse( X ) ), multiply(
% 107.94/108.36 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 107.94/108.36 inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 107.94/108.36 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.36 , 0, clause( 40842, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40845, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40844, [ =( inverse( inverse( X ) ), multiply(
% 107.94/108.36 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 107.94/108.36 inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40846, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40845, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40846, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40848, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 107.94/108.36 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 107.94/108.36 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40851, [ =( multiply( inverse( multiply( X, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 107.94/108.36 inverse( Y ), identity ) ) ] )
% 107.94/108.36 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, clause( 40848, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y
% 107.94/108.36 , X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity )
% 107.94/108.36 ) ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 107.94/108.36 inverse( Y ), identity ) ) ] )
% 107.94/108.36 , clause( 40851, [ =( multiply( inverse( multiply( X, Y ) ),
% 107.94/108.36 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 107.94/108.36 inverse( Y ), identity ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40854, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 107.94/108.36 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 107.94/108.36 'greatest_lower_bound'( Y, Z ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40857, [ =( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, clause( 40854, [ =( 'greatest_lower_bound'( Y, Z ),
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40862, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 107.94/108.36 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 40857, [ =( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 107.94/108.36 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 107.94/108.36 , clause( 40862, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 107.94/108.36 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40864, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 107.94/108.36 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 107.94/108.36 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40869, [ =( multiply( 'greatest_lower_bound'(
% 107.94/108.36 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 107.94/108.36 , identity ) ) ) ) ] )
% 107.94/108.36 , clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40864, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 107.94/108.36 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 107.94/108.36 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40870, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 107.94/108.36 , identity ) ) ) ) ] )
% 107.94/108.36 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 40869, [ =( multiply( 'greatest_lower_bound'(
% 107.94/108.36 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 107.94/108.36 , identity ) ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.36 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40871, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40870, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 107.94/108.36 , identity ) ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40872, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40871, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , clause( 40872, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40874, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40876, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 107.94/108.36 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40874, [ =( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 'least_upper_bound'( Y, Z ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 :=( Z, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40877, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 107.94/108.36 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40876, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40879, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 107.94/108.36 , clause( 40877, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 107.94/108.36 , clause( 40879, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 107.94/108.36 )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40882, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 107.94/108.36 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40888, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.36 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40882, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 107.94/108.36 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), :=( Y,
% 107.94/108.36 'least_upper_bound'( identity, X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40889, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'(
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 40888, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.36 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.36 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40890, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40889, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 107.94/108.36 'least_upper_bound'( inverse( 'least_upper_bound'( inverse( X ), identity
% 107.94/108.36 ) ), X ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40891, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ), X ) ] )
% 107.94/108.36 , clause( 40890, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ), X ) ] )
% 107.94/108.36 , clause( 40891, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40893, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 inverse( X ), identity ) ), X ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40894, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40893, [ =( X, 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.36 X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40895, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40894, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40895, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40897, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40898, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , 0, clause( 40897, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 X, Y ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, inverse( X ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40899, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 40898, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 inverse( X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 40899, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40901, [ =( multiply( X, Z ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 107.94/108.36 ), multiply( X, Z ) ) ) ] )
% 107.94/108.36 , clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 107.94/108.36 , Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40903, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 107.94/108.36 X ) ), Z ), identity ) ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40901, [ =( multiply( X, Z ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 107.94/108.36 ), multiply( X, Z ) ) ) ] )
% 107.94/108.36 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y ), :=( Z, inverse( X ) ), :=( T, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40905, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.36 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40903, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 107.94/108.36 X ) ), Z ), identity ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40907, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 40905, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.36 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 107.94/108.36 ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 40907, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 107.94/108.36 ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40911, [ =( X, multiply( 'least_upper_bound'( X, multiply( X, Y ) )
% 107.94/108.36 , inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.36 , clause( 811, [ =( multiply( 'least_upper_bound'( X, multiply( X, Y ) ),
% 107.94/108.36 inverse( 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40914, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 107.94/108.36 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 107.94/108.36 identity ) ) ) ) ] )
% 107.94/108.36 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 40911, [ =( X, multiply( 'least_upper_bound'( X, multiply( X,
% 107.94/108.36 Y ) ), inverse( 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40915, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 107.94/108.36 Y ) ) ] )
% 107.94/108.36 , clause( 40914, [ =( multiply( X, Y ), multiply( 'least_upper_bound'(
% 107.94/108.36 multiply( X, Y ), X ), inverse( 'least_upper_bound'( inverse( Y ),
% 107.94/108.36 identity ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 107.94/108.36 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 107.94/108.36 Y ) ) ] )
% 107.94/108.36 , clause( 40915, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X )
% 107.94/108.36 , inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X
% 107.94/108.36 , Y ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40917, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40920, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 194, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 107.94/108.36 , 0, clause( 40917, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 107.94/108.36 ), X ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, Y ), :=( Y, 'least_upper_bound'( X, inverse( Y ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40921, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 107.94/108.36 ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 40920, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( multiply( Y, X ), identity ) ), Y
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 107.94/108.36 , identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , clause( 40921, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 107.94/108.36 X ), identity ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40923, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 107.94/108.36 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 107.94/108.36 ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40924, [ =( identity, 'least_upper_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 107.94/108.36 , clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, clause( 40923, [ =( identity, 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 107.94/108.36 X ) ), Z ), identity ) ) ] )
% 107.94/108.36 , 0, 3, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 107.94/108.36 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 107.94/108.36 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.36 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 107.94/108.36 , Z ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40926, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 40924, [ =( identity, 'least_upper_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 107.94/108.36 , Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.36 , clause( 40926, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40929, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40934, [ =( inverse( 'least_upper_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40929, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 inverse( X ) ) ) ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40935, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 107.94/108.36 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 107.94/108.36 ) ) ) ) ) ] )
% 107.94/108.36 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40934, [ =( inverse( 'least_upper_bound'( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40940, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 107.94/108.36 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40935, [ =( inverse( identity ), 'greatest_lower_bound'(
% 107.94/108.36 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40941, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 107.94/108.36 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40940, [ =( inverse( identity ), 'greatest_lower_bound'(
% 107.94/108.36 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40944, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 107.94/108.36 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 107.94/108.36 , clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.36 inverse( X ) ) ) ] )
% 107.94/108.36 , 0, clause( 40941, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.36 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 107.94/108.36 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40945, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 107.94/108.36 , clause( 40944, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.36 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 107.94/108.36 , clause( 40945, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 107.94/108.36 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40947, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 107.94/108.36 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.36 , clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 107.94/108.36 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40952, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 107.94/108.36 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40947, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 107.94/108.36 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 107.94/108.36 ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40953, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 107.94/108.36 ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 40952, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40954, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 40953, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 107.94/108.36 :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40955, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 107.94/108.36 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 107.94/108.36 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.36 , 0, clause( 40954, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 107.94/108.36 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40956, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 107.94/108.36 , clause( 40955, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 107.94/108.36 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 107.94/108.36 , clause( 40956, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 107.94/108.36 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 107.94/108.36 permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40958, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 107.94/108.36 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 107.94/108.36 , clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 107.94/108.36 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40960, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 107.94/108.36 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 107.94/108.36 , 0, clause( 40958, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 107.94/108.36 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40961, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 40960, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.36 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40962, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.36 , clause( 40961, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.36 , clause( 40962, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40964, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40968, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.36 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 107.94/108.36 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40964, [ =( 'greatest_lower_bound'( Y, X ),
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 107.94/108.36 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40970, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 inverse( X ), Y ) ), X ), X ) ] )
% 107.94/108.36 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, clause( 40968, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 107.94/108.36 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 107.94/108.36 Y ) ), X ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 107.94/108.36 X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 inverse( X ), Y ) ), X ), X ) ] )
% 107.94/108.36 , clause( 40970, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40972, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 107.94/108.36 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40973, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.36 , 0, clause( 40972, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40979, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , clause( 40973, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , clause( 40979, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40983, [ =( X, 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 107.94/108.36 , clause( 4953, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40984, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40983, [ =( X, 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.36 X ) ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40985, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40984, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40985, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40987, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40988, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 40987, [ =( X, 'greatest_lower_bound'( X, inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 107.94/108.36 X ) ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40989, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40988, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 107.94/108.36 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 40989, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40991, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40992, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 107.94/108.36 Y ) ) ) ] )
% 107.94/108.36 , clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 107.94/108.36 , 0, clause( 40991, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.36 Y, X ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40993, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 107.94/108.36 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 107.94/108.36 , clause( 40992, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 107.94/108.36 Y ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 107.94/108.36 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , clause( 40993, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.36 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40995, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 107.94/108.36 , X ) ) ] )
% 107.94/108.36 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 40996, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , clause( 4974, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , 0, clause( 40995, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 107.94/108.36 , Y ), X ) ) ] )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40997, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 40996, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 40997, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 40999, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 107.94/108.36 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41003, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 107.94/108.36 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 107.94/108.36 , inverse( Y ) ) ) ] )
% 107.94/108.36 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, clause( 40999, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 107.94/108.36 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 107.94/108.36 ) ) ) ) ] )
% 107.94/108.36 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41004, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 107.94/108.36 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, clause( 41003, [ =( inverse( 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41006, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 107.94/108.36 ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , clause( 41004, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 107.94/108.36 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 107.94/108.36 , clause( 41006, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 107.94/108.36 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41009, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 107.94/108.36 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41011, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 41009, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 107.94/108.36 :=( Y, inverse( X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41012, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 107.94/108.36 , inverse( X ) ) ), X ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 41011, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 107.94/108.36 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41014, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.36 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , clause( 41012, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 Y, inverse( X ) ) ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.36 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , clause( 41014, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 107.94/108.36 , inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41017, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 107.94/108.36 , clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 107.94/108.36 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41021, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 107.94/108.36 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.36 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , 0, clause( 41017, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.36 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y ),
% 107.94/108.36 :=( Z, Z ), :=( T, T )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41022, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 107.94/108.36 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.36 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , 0, clause( 41021, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41025, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 T, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 107.94/108.36 'least_upper_bound'( X, T ) ) ] )
% 107.94/108.36 , 0, clause( 41022, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 107.94/108.36 inverse( 'least_upper_bound'( T, inverse( X ) ) ) )] ), substitution( 1
% 107.94/108.36 , [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41026, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 107.94/108.36 , inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , clause( 41025, [ =( X, 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( T, inverse( X ) ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 107.94/108.36 , inverse( Y ) ) ) ), Y ) ] )
% 107.94/108.36 , clause( 41026, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 Y, inverse( X ) ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41028, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 107.94/108.36 ) ) ) ] )
% 107.94/108.36 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 107.94/108.36 , X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41029, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 107.94/108.36 , Y ) ) ] )
% 107.94/108.36 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 107.94/108.36 inverse( X ) ) ), X ), X ) ] )
% 107.94/108.36 , 0, clause( 41028, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 107.94/108.36 X, Y ) ) ) ] )
% 107.94/108.36 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41030, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 41029, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 107.94/108.36 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 107.94/108.36 , Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 41030, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41032, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 107.94/108.36 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 107.94/108.36 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41035, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 107.94/108.36 Y, X ), identity ) ) ) ] )
% 107.94/108.36 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 41032, [ =( inverse( Y ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41036, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 41035, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 107.94/108.36 Y, X ), identity ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41037, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 107.94/108.36 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 107.94/108.36 , clause( 41036, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 107.94/108.36 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.36 , clause( 41037, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 107.94/108.36 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41039, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 107.94/108.36 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.36 , clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41046, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 107.94/108.36 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 107.94/108.36 , Y ), identity ) ) ) ) ] )
% 107.94/108.36 , clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 107.94/108.36 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 41039, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 107.94/108.36 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.36 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.36 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41047, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 107.94/108.36 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 107.94/108.36 , X ) ), identity ) ) ) ] )
% 107.94/108.36 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 41046, [ =( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 107.94/108.36 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 107.94/108.36 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 107.94/108.36 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41048, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 107.94/108.36 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 107.94/108.36 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 107.94/108.36 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.36 , 0, clause( 41047, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 107.94/108.36 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 107.94/108.36 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41049, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 107.94/108.36 , clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 107.94/108.36 X, inverse( Y ) ) ) ), Y ) ] )
% 107.94/108.36 , 0, clause( 41048, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 107.94/108.36 multiply( Y, X ) ) ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41050, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 107.94/108.36 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 107.94/108.36 , clause( 41049, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 107.94/108.36 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 107.94/108.36 , clause( 41050, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 107.94/108.36 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.36 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41052, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 107.94/108.36 , clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 107.94/108.36 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41057, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 107.94/108.36 ), X ), inverse( inverse( 'least_upper_bound'( X, identity ) ) ) ) ),
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 1526, [ =( multiply( multiply( 'least_upper_bound'( identity, X )
% 107.94/108.36 , X ), inverse( 'least_upper_bound'( X, identity ) ) ), X ) ] )
% 107.94/108.36 , 0, clause( 41052, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 107.94/108.36 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ), :=( Y, inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41058, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 107.94/108.36 ), X ), 'least_upper_bound'( X, identity ) ) ), 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ) ] )
% 107.94/108.36 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.36 , 0, clause( 41057, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), X ), inverse( inverse( 'least_upper_bound'( X, identity )
% 107.94/108.36 ) ) ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , 0, 13, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 107.94/108.36 , substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41059, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 107.94/108.36 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.36 , 0, clause( 41058, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), X ), 'least_upper_bound'( X, identity ) ) ),
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( identity,
% 107.94/108.36 X ), X ) ), :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X
% 107.94/108.36 )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41060, [ =( inverse( 'least_upper_bound'( X, identity ) ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( multiply( 'least_upper_bound'( identity, X
% 107.94/108.36 ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 1050, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, Y ), X ), X ), multiply( 'least_upper_bound'( identity, Y ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, clause( 41059, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( 'least_upper_bound'( multiply(
% 107.94/108.36 'least_upper_bound'( identity, X ), X ), X ), identity ) ),
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41061, [ =( inverse( 'least_upper_bound'( X, identity ) ), inverse(
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 4155, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 107.94/108.36 ), identity ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 107.94/108.36 ) ] )
% 107.94/108.36 , 0, clause( 41060, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.36 identity, X ), X ), identity ) ), 'least_upper_bound'( identity, X ) ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41062, [ =( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ) ) ] )
% 107.94/108.36 , clause( 41061, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 inverse( 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity,
% 107.94/108.36 X ) ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12280, [ =( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ) ) ] )
% 107.94/108.36 , clause( 41062, [ =( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41064, [ =( X, multiply( inverse( 'least_upper_bound'( inverse( X )
% 107.94/108.36 , identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , clause( 1321, [ =( multiply( inverse( 'least_upper_bound'( inverse( X ),
% 107.94/108.36 identity ) ), 'least_upper_bound'( X, identity ) ), X ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41069, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), multiply( inverse( 'least_upper_bound'( inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ), identity ) ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 12280, [ =( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ) ), inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ) ) ] )
% 107.94/108.36 , 0, clause( 41064, [ =( X, multiply( inverse( 'least_upper_bound'( inverse(
% 107.94/108.36 X ), identity ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 107.94/108.36 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ) )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41070, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), multiply( inverse( identity ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 1325, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 41069, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 identity ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), identity ) ) ) ] )
% 107.94/108.36 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41071, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), multiply( identity, 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 107.94/108.36 identity ) ) ) ] )
% 107.94/108.36 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 107.94/108.36 , 0, clause( 41070, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), multiply( inverse( identity ),
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), identity ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41072, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), identity ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 41071, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), multiply( identity,
% 107.94/108.36 'least_upper_bound'( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), identity ) ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.36 X, inverse( 'least_upper_bound'( identity, X ) ) ), identity ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41073, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 1336, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), identity ), 'least_upper_bound'(
% 107.94/108.36 identity, Y ) ) ] )
% 107.94/108.36 , 0, clause( 41072, [ =( 'least_upper_bound'( X, inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ) ), 'least_upper_bound'(
% 107.94/108.36 'least_upper_bound'( X, inverse( 'least_upper_bound'( identity, X ) ) ),
% 107.94/108.36 identity ) ) ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12290, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 41073, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41076, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.36 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 107.94/108.36 , clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 107.94/108.36 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41080, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 107.94/108.36 multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 107.94/108.36 , clause( 12290, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , 0, clause( 41076, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 107.94/108.36 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 107.94/108.36 )
% 107.94/108.36 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, 'least_upper_bound'( identity, X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41081, [ =( 'least_upper_bound'( identity, X ), multiply( inverse(
% 107.94/108.36 'least_upper_bound'( identity, X ) ), 'least_upper_bound'( identity,
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 107.94/108.36 , clause( 1209, [ =( multiply( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 multiply( 'least_upper_bound'( identity, X ), X ) ) ] )
% 107.94/108.36 , 0, clause( 41080, [ =( 'least_upper_bound'( identity, X ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 107.94/108.36 identity, multiply( X, 'least_upper_bound'( identity, X ) ) ) ) ) ] )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41082, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 107.94/108.36 multiply( inverse( 'least_upper_bound'( identity, X ) ), identity ), X )
% 107.94/108.36 ) ] )
% 107.94/108.36 , clause( 1572, [ =( multiply( inverse( X ), 'least_upper_bound'( Y,
% 107.94/108.36 multiply( X, Z ) ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), Z
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , 0, clause( 41081, [ =( 'least_upper_bound'( identity, X ), multiply(
% 107.94/108.36 inverse( 'least_upper_bound'( identity, X ) ), 'least_upper_bound'(
% 107.94/108.36 identity, multiply( 'least_upper_bound'( identity, X ), X ) ) ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) ),
% 107.94/108.36 :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41083, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 107.94/108.36 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 107.94/108.36 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.36 , 0, clause( 41082, [ =( 'least_upper_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( multiply( inverse( 'least_upper_bound'( identity, X
% 107.94/108.36 ) ), identity ), X ) ) ] )
% 107.94/108.36 , 0, 5, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( identity, X
% 107.94/108.36 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41084, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 41083, [ =( 'least_upper_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12294, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 41084, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41085, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ),
% 107.94/108.36 inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.36 , clause( 851, [ =( inverse( multiply( X, 'least_upper_bound'( Y, identity
% 107.94/108.36 ) ) ), inverse( 'least_upper_bound'( X, multiply( X, Y ) ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41086, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 107.94/108.36 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 107.94/108.36 , clause( 12294, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41089, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 107.94/108.36 ), 'least_upper_bound'( inverse( multiply( identity, 'least_upper_bound'(
% 107.94/108.36 X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 41085, [ =( inverse( 'least_upper_bound'( X, multiply( X, Y ) ) )
% 107.94/108.36 , inverse( multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 107.94/108.36 , 0, clause( 41086, [ =( 'least_upper_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.36 1, [ :=( X, multiply( identity, X ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41092, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 107.94/108.36 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 multiply( identity, X ) ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 41089, [ =( 'least_upper_bound'( identity, multiply( identity
% 107.94/108.36 , X ) ), 'least_upper_bound'( inverse( multiply( identity,
% 107.94/108.36 'least_upper_bound'( X, identity ) ) ), multiply( identity, X ) ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 107.94/108.36 substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41098, [ =( 'least_upper_bound'( identity, multiply( identity, X )
% 107.94/108.36 ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 107.94/108.36 ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 41092, [ =( 'least_upper_bound'( identity, multiply( identity
% 107.94/108.36 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 107.94/108.36 ), multiply( identity, X ) ) ) ] )
% 107.94/108.36 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41099, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 107.94/108.36 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 107.94/108.36 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.36 , 0, clause( 41098, [ =( 'least_upper_bound'( identity, multiply( identity
% 107.94/108.36 , X ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity )
% 107.94/108.36 ), X ) ) ] )
% 107.94/108.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.36 ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41101, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 41099, [ =( 'least_upper_bound'( identity, X ),
% 107.94/108.36 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 107.94/108.36 ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 subsumption(
% 107.94/108.36 clause( 12313, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 107.94/108.36 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , clause( 41101, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41104, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 107.94/108.36 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 107.94/108.36 , clause( 66, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 107.94/108.36 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 107.94/108.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41108, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 107.94/108.36 X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 107.94/108.36 , clause( 12313, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 107.94/108.36 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 107.94/108.36 , 0, clause( 41104, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 107.94/108.36 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 107.94/108.36 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.36 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41109, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 107.94/108.36 X ) ), 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X,
% 107.94/108.36 identity ), X ) ), identity ) ) ] )
% 107.94/108.36 , clause( 204, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 107.94/108.36 multiply( X, Y ) ) ) ] )
% 107.94/108.36 , 0, clause( 41108, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), 'least_upper_bound'( multiply( inverse( X ), inverse(
% 107.94/108.36 'least_upper_bound'( X, identity ) ) ), identity ) ) ] )
% 107.94/108.36 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.36 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 paramod(
% 107.94/108.36 clause( 41110, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.36 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.36 ), X ) ), identity ) ) ] )
% 107.94/108.36 , clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 107.94/108.36 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.36 , 0, clause( 41109, [ =( multiply( inverse( X ), 'least_upper_bound'(
% 107.94/108.36 identity, X ) ), 'least_upper_bound'( inverse( multiply(
% 107.94/108.36 'least_upper_bound'( X, identity ), X ) ), identity ) ) ] )
% 107.94/108.36 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.36 :=( X, X )] )).
% 107.94/108.36
% 107.94/108.36
% 107.94/108.36 eqswap(
% 107.94/108.36 clause( 41111, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , clause( 41110, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.37 ), X ) ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12329, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , clause( 41111, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41113, [ =( inverse( Y ), multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.37 multiply( X, Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ) ) ] )
% 107.94/108.37 , clause( 1200, [ =( multiply( inverse( 'greatest_lower_bound'( multiply( X
% 107.94/108.37 , Y ), Y ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41116, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.37 'greatest_lower_bound'( Y, inverse( X ) ) ), 'greatest_lower_bound'(
% 107.94/108.37 multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.37 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 107.94/108.37 , 0, clause( 41113, [ =( inverse( Y ), multiply( inverse(
% 107.94/108.37 'greatest_lower_bound'( multiply( X, Y ), Y ) ), 'greatest_lower_bound'(
% 107.94/108.37 X, identity ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 107.94/108.37 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41117, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 107.94/108.37 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 107.94/108.37 ) ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41116, [ =( inverse( inverse( X ) ), multiply( inverse(
% 107.94/108.37 'greatest_lower_bound'( Y, inverse( X ) ) ), 'greatest_lower_bound'(
% 107.94/108.37 multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41118, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 107.94/108.37 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 107.94/108.37 , clause( 41117, [ =( X, multiply( inverse( 'greatest_lower_bound'( Y,
% 107.94/108.37 inverse( X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) )
% 107.94/108.37 ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12415, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 107.94/108.37 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.37 , clause( 41118, [ =( multiply( inverse( 'greatest_lower_bound'( Y, inverse(
% 107.94/108.37 X ) ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.37 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41120, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 107.94/108.37 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 107.94/108.37 ) ] )
% 107.94/108.37 , clause( 12415, [ =( multiply( inverse( 'greatest_lower_bound'( X, inverse(
% 107.94/108.37 Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41123, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.37 X ), Z ) ), 'greatest_lower_bound'( multiply( 'greatest_lower_bound'(
% 107.94/108.37 multiply( 'least_upper_bound'( identity, Y ), inverse( X ) ), Z ), X ),
% 107.94/108.37 identity ) ) ) ] )
% 107.94/108.37 , clause( 1043, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.37 multiply( 'least_upper_bound'( identity, Y ), X ), Z ), X ),
% 107.94/108.37 'greatest_lower_bound'( X, Z ) ) ] )
% 107.94/108.37 , 0, clause( 41120, [ =( Y, multiply( inverse( 'greatest_lower_bound'( X,
% 107.94/108.37 inverse( Y ) ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) )
% 107.94/108.37 ) ] )
% 107.94/108.37 , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 107.94/108.37 , substitution( 1, [ :=( X, 'greatest_lower_bound'( multiply(
% 107.94/108.37 'least_upper_bound'( identity, Y ), inverse( X ) ), Z ) ), :=( Y, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41124, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.37 X ), Y ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( identity, Z ), multiply( Y, X ) ), identity ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , clause( 1025, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 107.94/108.37 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 107.94/108.37 , 0, clause( 41123, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.37 inverse( X ), Z ) ), 'greatest_lower_bound'( multiply(
% 107.94/108.37 'greatest_lower_bound'( multiply( 'least_upper_bound'( identity, Y ),
% 107.94/108.37 inverse( X ) ), Z ), X ), identity ) ) ) ] )
% 107.94/108.37 , 0, 9, substitution( 0, [ :=( X, 'least_upper_bound'( identity, Z ) ),
% 107.94/108.37 :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ),
% 107.94/108.37 :=( Z, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41125, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.37 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.37 , clause( 96, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, clause( 41124, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.37 inverse( X ), Y ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( identity, Z ), multiply( Y, X ) ), identity ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, 8, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, identity ),
% 107.94/108.37 :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41126, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 107.94/108.37 , Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 107.94/108.37 , clause( 41125, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.37 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12437, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y )
% 107.94/108.37 , Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ] )
% 107.94/108.37 , clause( 41126, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 107.94/108.37 ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ), X ) ]
% 107.94/108.37 )
% 107.94/108.37 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.37 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41128, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.37 ), X ) ), identity ) ) ] )
% 107.94/108.37 , clause( 12329, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41136, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 107.94/108.37 ), identity ) ) ] )
% 107.94/108.37 , clause( 1261, [ =( inverse( multiply( 'least_upper_bound'( Y, identity )
% 107.94/108.37 , X ) ), inverse( 'least_upper_bound'( multiply( Y, X ), X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41128, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.37 ), X ) ), identity ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.37 :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41140, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , clause( 41136, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( 'least_upper_bound'( multiply( X, X ), X )
% 107.94/108.37 ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12492, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , clause( 41140, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41142, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.37 ), X ) ), identity ) ) ] )
% 107.94/108.37 , clause( 12329, [ =( 'least_upper_bound'( inverse( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41148, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 107.94/108.37 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , clause( 12492, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 multiply( X, X ), X ) ), identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , 0, clause( 41142, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( X, identity
% 107.94/108.37 ), X ) ), identity ) ) ] )
% 107.94/108.37 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 inverse( 'least_upper_bound'( multiply( X, X ), X ) ) )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41149, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 107.94/108.37 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 107.94/108.37 ) ] )
% 107.94/108.37 , clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 107.94/108.37 inverse( X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41148, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( inverse( multiply( 'least_upper_bound'( inverse( X )
% 107.94/108.37 , identity ), inverse( 'least_upper_bound'( multiply( X, X ), X ) ) ) ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , 0, 11, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ), :=( Y, 'least_upper_bound'( multiply( X, X ), X ) )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41150, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 107.94/108.37 , clause( 4026, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), X ),
% 107.94/108.37 inverse( 'least_upper_bound'( inverse( Y ), identity ) ) ), multiply( X,
% 107.94/108.37 Y ) ) ] )
% 107.94/108.37 , 0, clause( 41149, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( multiply( 'least_upper_bound'( multiply( X, X ), X )
% 107.94/108.37 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), identity )
% 107.94/108.37 ) ] )
% 107.94/108.37 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.37 :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41151, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 107.94/108.37 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 107.94/108.37 ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41150, [ =( 'least_upper_bound'( inverse( inverse(
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), X ) ) ), identity ),
% 107.94/108.37 'least_upper_bound'( multiply( X, X ), identity ) ) ] )
% 107.94/108.37 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( multiply( X, X ), X
% 107.94/108.37 ) )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12494, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 107.94/108.37 X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity ) )
% 107.94/108.37 ] )
% 107.94/108.37 , clause( 41151, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 107.94/108.37 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 107.94/108.37 ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41154, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.37 inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) )
% 107.94/108.37 ] )
% 107.94/108.37 , clause( 1770, [ =( 'greatest_lower_bound'( identity, multiply( inverse( Y
% 107.94/108.37 ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ), identity )
% 107.94/108.37 ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41157, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 107.94/108.37 inverse( X ), 'least_upper_bound'( multiply( X, X ), identity ) ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , clause( 12494, [ =( 'least_upper_bound'( 'least_upper_bound'( multiply( X
% 107.94/108.37 , X ), X ), identity ), 'least_upper_bound'( multiply( X, X ), identity )
% 107.94/108.37 ) ] )
% 107.94/108.37 , 0, clause( 41154, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 multiply( inverse( X ), 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.37 , Z ) ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41159, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.37 , clause( 1533, [ =( multiply( inverse( X ), 'least_upper_bound'( multiply(
% 107.94/108.37 X, Y ), Z ) ), 'least_upper_bound'( Y, multiply( inverse( X ), Z ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, clause( 41157, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 multiply( inverse( X ), 'least_upper_bound'( multiply( X, X ), identity )
% 107.94/108.37 ) ) ) ] )
% 107.94/108.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41160, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 107.94/108.37 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.37 , 0, clause( 41159, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 'least_upper_bound'( X, multiply( inverse( X ), identity ) ) ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 107.94/108.37 :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41161, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.37 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.37 , clause( 41160, [ =( identity, 'greatest_lower_bound'( identity,
% 107.94/108.37 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 12523, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.37 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.37 , clause( 41161, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.37 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41163, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 107.94/108.37 ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ) ) ] )
% 107.94/108.37 , clause( 753, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ),
% 107.94/108.37 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41166, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.37 identity, 'least_upper_bound'( Y, inverse( Y ) ) ) ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 107.94/108.37 , clause( 12523, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.37 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.37 , 0, clause( 41163, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 107.94/108.37 , Z ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Z ) ) ) ] )
% 107.94/108.37 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, identity ), :=( Z, 'least_upper_bound'( Y, inverse( Y ) ) )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41167, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 107.94/108.37 , clause( 12523, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 107.94/108.37 X, inverse( X ) ) ), identity ) ] )
% 107.94/108.37 , 0, clause( 41166, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 107.94/108.37 identity, 'least_upper_bound'( Y, inverse( Y ) ) ) ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 107.94/108.37 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41170, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.37 , 0, clause( 41167, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( X, 'least_upper_bound'( Y, inverse( Y ) ) ) ) ) ] )
% 107.94/108.37 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 107.94/108.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41171, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y
% 107.94/108.37 ) ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , clause( 41170, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 25066, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y,
% 107.94/108.37 identity ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), inverse( X
% 107.94/108.37 ) ) ), 'least_upper_bound'( Y, identity ) ) ] )
% 107.94/108.37 , clause( 41171, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y
% 107.94/108.37 ) ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.37 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41172, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 25066, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y,
% 107.94/108.37 identity ), 'least_upper_bound'( 'least_upper_bound'( Y, X ), inverse( X
% 107.94/108.37 ) ) ), 'least_upper_bound'( Y, identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41173, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 107.94/108.37 X, Y ), Y ), Z ), 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.37 identity, X ), Y ), Z ) ) ] )
% 107.94/108.37 , clause( 1206, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.37 identity, Y ), X ), Z ), 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 multiply( Y, X ), X ), Z ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41176, [ =( 'least_upper_bound'( multiply( X, identity ), identity
% 107.94/108.37 ), 'greatest_lower_bound'( multiply( 'least_upper_bound'( identity, X )
% 107.94/108.37 , identity ), 'least_upper_bound'( 'least_upper_bound'( multiply( X,
% 107.94/108.37 identity ), Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 41173, [ =( 'greatest_lower_bound'( 'least_upper_bound'( multiply(
% 107.94/108.37 X, Y ), Y ), Z ), 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.37 identity, X ), Y ), Z ) ) ] )
% 107.94/108.37 , 0, clause( 41172, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z,
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( multiply( X, identity ), Y ),
% 107.94/108.37 inverse( Y ) ) )] ), substitution( 1, [ :=( X, multiply( X, identity ) )
% 107.94/108.37 , :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41179, [ =( 'least_upper_bound'( multiply( X, identity ), identity
% 107.94/108.37 ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( multiply( X, identity ), Y ),
% 107.94/108.37 inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.37 , 0, clause( 41176, [ =( 'least_upper_bound'( multiply( X, identity ),
% 107.94/108.37 identity ), 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 107.94/108.37 identity, X ), identity ), 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 multiply( X, identity ), Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41185, [ =( 'least_upper_bound'( multiply( X, identity ), identity
% 107.94/108.37 ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.37 , 0, clause( 41179, [ =( 'least_upper_bound'( multiply( X, identity ),
% 107.94/108.37 identity ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( multiply( X, identity ), Y ),
% 107.94/108.37 inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41186, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 107.94/108.37 , 0, clause( 41185, [ =( 'least_upper_bound'( multiply( X, identity ),
% 107.94/108.37 identity ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41188, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 107.94/108.37 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ),
% 107.94/108.37 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , clause( 41186, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 35922, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 107.94/108.37 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ),
% 107.94/108.37 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , clause( 41188, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 107.94/108.37 , X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) )
% 107.94/108.37 , 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.37 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41190, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , clause( 35922, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 107.94/108.37 , X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) )
% 107.94/108.37 , 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41192, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.37 , inverse( Y ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 924, [ =( 'greatest_lower_bound'( T, 'least_upper_bound'(
% 107.94/108.37 'least_upper_bound'( X, Z ), Y ) ), 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ), T ) ) ] )
% 107.94/108.37 , 0, clause( 41190, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 107.94/108.37 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y ),
% 107.94/108.37 :=( T, 'least_upper_bound'( identity, X ) )] ), substitution( 1, [ :=( X
% 107.94/108.37 , X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41193, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 'least_upper_bound'( Y, X ), inverse( Y ) ), 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , clause( 41192, [ =( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X )
% 107.94/108.37 , inverse( Y ) ), 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 35942, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 'least_upper_bound'( Y, X ), inverse( Y ) ), 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , clause( 41193, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 'least_upper_bound'( Y, X ), inverse( Y ) ), 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 107.94/108.37 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41195, [ =( 'greatest_lower_bound'( identity, Y ),
% 107.94/108.37 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.37 , clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 107.94/108.37 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 107.94/108.37 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41196, [ =( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 107.94/108.37 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , 0, clause( 41195, [ =( 'greatest_lower_bound'( identity, Y ),
% 107.94/108.37 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 107.94/108.37 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 107.94/108.37 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41197, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.37 , clause( 41196, [ =( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 107.94/108.37 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.37 , clause( 41197, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41199, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 107.94/108.37 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 107.94/108.37 ] )
% 107.94/108.37 , clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.37 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41206, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.37 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ] )
% 107.94/108.37 , 0, clause( 41199, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 107.94/108.37 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 107.94/108.37 , Y ) ) ) ) ] )
% 107.94/108.37 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 107.94/108.37 'greatest_lower_bound'( identity, X ) )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41207, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 107.94/108.37 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 107.94/108.37 , clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 107.94/108.37 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, clause( 41206, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 107.94/108.37 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 107.94/108.37 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41208, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 107.94/108.37 X ) ) ) ) ) ) ] )
% 107.94/108.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.37 , 0, clause( 41207, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 107.94/108.37 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 107.94/108.37 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 107.94/108.37 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41210, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41208, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 107.94/108.37 X ) ) ) ) ) ) ] )
% 107.94/108.37 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 107.94/108.37 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41211, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41210, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 107.94/108.37 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 107.94/108.37 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 107.94/108.37 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41216, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 107.94/108.37 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 107.94/108.37 , 0, clause( 41211, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 107.94/108.37 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 107.94/108.37 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 107.94/108.37 , [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41217, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 inverse( X ) ) ) ] )
% 107.94/108.37 , clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 107.94/108.37 ) ) ) ] )
% 107.94/108.37 , 0, clause( 41216, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41218, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 107.94/108.37 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, clause( 41217, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 107.94/108.37 inverse( X ) ) ) ] )
% 107.94/108.37 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 107.94/108.37 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 41218, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41221, [ =( 'least_upper_bound'( Y, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.37 , inverse( X ) ), 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.37 , clause( 35942, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 'least_upper_bound'( Y, X ), inverse( Y ) ), 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), 'least_upper_bound'( X, identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41224, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ), inverse( identity ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41221, [ =( 'least_upper_bound'( Y, identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 107.94/108.37 , inverse( X ) ), 'least_upper_bound'( identity, Y ) ) ) ] )
% 107.94/108.37 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 identity ), :=( Y, inverse( X ) )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41226, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ), inverse( identity ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41224, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 identity, inverse( X ) ), inverse( identity ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41227, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 107.94/108.37 , X ) ] )
% 107.94/108.37 , 0, clause( 41226, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ), inverse( identity ) ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 107.94/108.37 , X ) ) ), :=( Y, inverse( identity ) )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39005, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 41227, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41230, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 107.94/108.37 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 107.94/108.37 , clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 107.94/108.37 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41233, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 107.94/108.37 ) ) ) ] )
% 107.94/108.37 , clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41230, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 107.94/108.37 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 identity ), :=( Y, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41234, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41233, [ =( X, multiply( inverse( inverse(
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 107.94/108.37 , multiply( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 107.94/108.37 , substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41235, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.37 , 0, clause( 41234, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 107.94/108.37 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41236, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.37 , clause( 41235, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.37 , clause( 41236, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41238, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 107.94/108.37 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 107.94/108.37 multiply( X, Y ) ) ) ) ] )
% 107.94/108.37 , clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 107.94/108.37 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 107.94/108.37 inverse( Y ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41243, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), identity ), multiply( inverse( multiply(
% 107.94/108.37 'greatest_lower_bound'( identity, X ), 'least_upper_bound'( identity, X )
% 107.94/108.37 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X )
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41238, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 107.94/108.37 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 107.94/108.37 multiply( X, Y ) ) ) ) ] )
% 107.94/108.37 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'(
% 107.94/108.37 identity, X ) )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41244, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), identity ), multiply( inverse( X ),
% 107.94/108.37 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) ) ]
% 107.94/108.37 )
% 107.94/108.37 , clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 107.94/108.37 'least_upper_bound'( identity, X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41243, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.37 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse(
% 107.94/108.37 multiply( 'greatest_lower_bound'( identity, X ), 'least_upper_bound'(
% 107.94/108.37 identity, X ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 107.94/108.37 identity, X ), X ) ) ) ] )
% 107.94/108.37 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41246, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), identity ), multiply( inverse( X ),
% 107.94/108.37 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 107.94/108.37 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 107.94/108.37 , 0, clause( 41244, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.37 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 107.94/108.37 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) )
% 107.94/108.37 ] )
% 107.94/108.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41247, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), identity ), 'greatest_lower_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 107.94/108.37 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 107.94/108.37 , 0, clause( 41246, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.37 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 107.94/108.37 , 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 107.94/108.37 :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41248, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , 0, clause( 41247, [ =( 'greatest_lower_bound'( inverse(
% 107.94/108.37 'least_upper_bound'( identity, X ) ), identity ), 'greatest_lower_bound'(
% 107.94/108.37 inverse( X ), identity ) ) ] )
% 107.94/108.37 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41249, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 41248, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 107.94/108.37 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39121, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , clause( 41249, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41251, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 107.94/108.37 X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ) ] )
% 107.94/108.37 , clause( 12437, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( Y
% 107.94/108.37 ), Z ) ), 'greatest_lower_bound'( multiply( Z, Y ), identity ) ), Y ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41254, [ =( X, multiply( inverse( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ) ), 'greatest_lower_bound'( multiply( identity, X ),
% 107.94/108.37 identity ) ) ) ] )
% 107.94/108.37 , clause( 39121, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41251, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 107.94/108.37 inverse( X ), Y ) ), 'greatest_lower_bound'( multiply( Y, X ), identity )
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 107.94/108.37 :=( Y, identity )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41255, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 107.94/108.37 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41254, [ =( X, multiply( inverse( inverse( 'least_upper_bound'(
% 107.94/108.37 identity, X ) ) ), 'greatest_lower_bound'( multiply( identity, X ),
% 107.94/108.37 identity ) ) ) ] )
% 107.94/108.37 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41256, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ) ) ] )
% 107.94/108.37 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 107.94/108.37 , 0, clause( 41255, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( multiply( identity, X ), identity ) ) ) ] )
% 107.94/108.37 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41257, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , clause( 41256, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39274, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , clause( 41257, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41259, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( Y,
% 107.94/108.37 X ), identity ), Z ), 'least_upper_bound'( multiply( 'least_upper_bound'(
% 107.94/108.37 X, Y ), Z ), Z ) ) ] )
% 107.94/108.37 , clause( 1308, [ =( 'least_upper_bound'( multiply( 'least_upper_bound'( X
% 107.94/108.37 , Y ), Z ), Z ), multiply( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 107.94/108.37 ), identity ), Z ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41262, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), identity ), 'greatest_lower_bound'( X, identity ) ),
% 107.94/108.37 'least_upper_bound'( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 107.94/108.37 , clause( 39274, [ =( multiply( 'least_upper_bound'( identity, X ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41259, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 Y, X ), identity ), Z ), 'least_upper_bound'( multiply(
% 107.94/108.37 'least_upper_bound'( X, Y ), Z ), Z ) ) ] )
% 107.94/108.37 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 identity ), :=( Y, X ), :=( Z, 'greatest_lower_bound'( X, identity ) )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41263, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), identity ), 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 107.94/108.37 , X ) ] )
% 107.94/108.37 , 0, clause( 41262, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), identity ), 'greatest_lower_bound'( X, identity ) ),
% 107.94/108.37 'least_upper_bound'( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 107.94/108.37 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41264, [ =( multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , clause( 34, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 107.94/108.37 'least_upper_bound'( X, Y ) ) ] )
% 107.94/108.37 , 0, clause( 41263, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), identity ), 'greatest_lower_bound'( X, identity ) ), X ) ]
% 107.94/108.37 )
% 107.94/108.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 107.94/108.37 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39357, [ =( multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , clause( 41264, [ =( multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41267, [ =( identity, multiply( 'greatest_lower_bound'( multiply( X
% 107.94/108.37 , Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 107.94/108.37 ) ) ) ] )
% 107.94/108.37 , clause( 675, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), X )
% 107.94/108.37 , inverse( multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ),
% 107.94/108.37 identity ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41272, [ =( identity, multiply( 'greatest_lower_bound'( multiply(
% 107.94/108.37 'least_upper_bound'( X, identity ), X ), 'least_upper_bound'( X, identity
% 107.94/108.37 ) ), inverse( X ) ) ) ] )
% 107.94/108.37 , clause( 39357, [ =( multiply( 'least_upper_bound'( X, identity ),
% 107.94/108.37 'greatest_lower_bound'( X, identity ) ), X ) ] )
% 107.94/108.37 , 0, clause( 41267, [ =( identity, multiply( 'greatest_lower_bound'(
% 107.94/108.37 multiply( X, Y ), X ), inverse( multiply( X, 'greatest_lower_bound'( Y,
% 107.94/108.37 identity ) ) ) ) ) ] )
% 107.94/108.37 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 107.94/108.37 'least_upper_bound'( X, identity ) ), :=( Y, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41273, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), multiply( 'least_upper_bound'( X, identity ), inverse( X )
% 107.94/108.37 ) ) ) ] )
% 107.94/108.37 , clause( 198, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 107.94/108.37 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , 0, clause( 41272, [ =( identity, multiply( 'greatest_lower_bound'(
% 107.94/108.37 multiply( 'least_upper_bound'( X, identity ), X ), 'least_upper_bound'( X
% 107.94/108.37 , identity ) ), inverse( X ) ) ) ] )
% 107.94/108.37 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 107.94/108.37 :=( Y, X ), :=( Z, 'least_upper_bound'( X, identity ) )] ),
% 107.94/108.37 substitution( 1, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41274, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), 'least_upper_bound'( inverse( X ), identity ) ) ) ] )
% 107.94/108.37 , clause( 1266, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 107.94/108.37 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 107.94/108.37 , 0, clause( 41273, [ =( identity, 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( X, identity ), multiply( 'least_upper_bound'( X,
% 107.94/108.37 identity ), inverse( X ) ) ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41275, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , clause( 39005, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 41274, [ =( identity, 'greatest_lower_bound'(
% 107.94/108.37 'least_upper_bound'( X, identity ), 'least_upper_bound'( inverse( X ),
% 107.94/108.37 identity ) ) ) ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 107.94/108.37 ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqswap(
% 107.94/108.37 clause( 41276, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 107.94/108.37 ) ] )
% 107.94/108.37 , clause( 41275, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 107.94/108.37 X, identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [ :=( X, X )] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39447, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 107.94/108.37 ) ] )
% 107.94/108.37 , clause( 41276, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 107.94/108.37 ) ] )
% 107.94/108.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41280, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.37 identity ), inverse( 'greatest_lower_bound'( identity, a ) ) ), identity
% 107.94/108.37 ) ) ] )
% 107.94/108.37 , clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 107.94/108.37 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 107.94/108.37 , 0, clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 107.94/108.37 identity ), 'least_upper_bound'( identity, inverse( a ) ) ), identity ) )
% 107.94/108.37 ] )
% 107.94/108.37 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 paramod(
% 107.94/108.37 clause( 41281, [ ~( =( identity, identity ) ) ] )
% 107.94/108.37 , clause( 39447, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 107.94/108.37 identity ), inverse( 'greatest_lower_bound'( identity, X ) ) ), identity
% 107.94/108.37 ) ] )
% 107.94/108.37 , 0, clause( 41280, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a
% 107.94/108.37 , identity ), inverse( 'greatest_lower_bound'( identity, a ) ) ),
% 107.94/108.37 identity ) ) ] )
% 107.94/108.37 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 eqrefl(
% 107.94/108.37 clause( 41282, [] )
% 107.94/108.37 , clause( 41281, [ ~( =( identity, identity ) ) ] )
% 107.94/108.37 , 0, substitution( 0, [] )).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 subsumption(
% 107.94/108.37 clause( 39671, [] )
% 107.94/108.37 , clause( 41282, [] )
% 107.94/108.37 , substitution( 0, [] ), permutation( 0, [] ) ).
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 end.
% 107.94/108.37
% 107.94/108.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 107.94/108.37
% 107.94/108.37 Memory use:
% 107.94/108.37
% 107.94/108.37 space for terms: 570245
% 107.94/108.37 space for clauses: 4146889
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 clauses generated: 29715804
% 107.94/108.37 clauses kept: 39672
% 107.94/108.37 clauses selected: 7142
% 107.94/108.37 clauses deleted: 3923
% 107.94/108.37 clauses inuse deleted: 1728
% 107.94/108.37
% 107.94/108.37 subsentry: 1273249
% 107.94/108.37 literals s-matched: 1268743
% 107.94/108.37 literals matched: 1268268
% 107.94/108.37 full subsumption: 0
% 107.94/108.37
% 107.94/108.37 checksum: -1509329522
% 107.94/108.37
% 107.94/108.37
% 107.94/108.37 Bliksem ended
%------------------------------------------------------------------------------