TSTP Solution File: GRP183-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP183-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 108.61s 109.03s
% Output : Refutation 108.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP183-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 13:00:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 108.61/109.03 *** allocated 10000 integers for termspace/termends
% 108.61/109.03 *** allocated 10000 integers for clauses
% 108.61/109.03 *** allocated 10000 integers for justifications
% 108.61/109.03 Bliksem 1.12
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Automatic Strategy Selection
% 108.61/109.03
% 108.61/109.03 Clauses:
% 108.61/109.03 [
% 108.61/109.03 [ =( multiply( identity, X ), X ) ],
% 108.61/109.03 [ =( multiply( inverse( X ), X ), identity ) ],
% 108.61/109.03 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 108.61/109.03 ],
% 108.61/109.03 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 108.61/109.03 ,
% 108.61/109.03 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 108.61/109.03 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.61/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 108.61/109.03 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.61/109.03 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 108.61/109.03 [ =( 'least_upper_bound'( X, X ), X ) ],
% 108.61/109.03 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 108.61/109.03 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 108.61/109.03 ,
% 108.61/109.03 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 108.61/109.03 ,
% 108.61/109.03 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 108.61/109.03 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 108.61/109.03 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.61/109.03 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 108.61/109.03 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 108.61/109.03 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 108.61/109.03 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.61/109.03 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 108.61/109.03 [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a, identity ),
% 108.61/109.03 inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 108.61/109.03 ] .
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 percentage equality = 1.000000, percentage horn = 1.000000
% 108.61/109.03 This is a pure equality problem
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Options Used:
% 108.61/109.03
% 108.61/109.03 useres = 1
% 108.61/109.03 useparamod = 1
% 108.61/109.03 useeqrefl = 1
% 108.61/109.03 useeqfact = 1
% 108.61/109.03 usefactor = 1
% 108.61/109.03 usesimpsplitting = 0
% 108.61/109.03 usesimpdemod = 5
% 108.61/109.03 usesimpres = 3
% 108.61/109.03
% 108.61/109.03 resimpinuse = 1000
% 108.61/109.03 resimpclauses = 20000
% 108.61/109.03 substype = eqrewr
% 108.61/109.03 backwardsubs = 1
% 108.61/109.03 selectoldest = 5
% 108.61/109.03
% 108.61/109.03 litorderings [0] = split
% 108.61/109.03 litorderings [1] = extend the termordering, first sorting on arguments
% 108.61/109.03
% 108.61/109.03 termordering = kbo
% 108.61/109.03
% 108.61/109.03 litapriori = 0
% 108.61/109.03 termapriori = 1
% 108.61/109.03 litaposteriori = 0
% 108.61/109.03 termaposteriori = 0
% 108.61/109.03 demodaposteriori = 0
% 108.61/109.03 ordereqreflfact = 0
% 108.61/109.03
% 108.61/109.03 litselect = negord
% 108.61/109.03
% 108.61/109.03 maxweight = 15
% 108.61/109.03 maxdepth = 30000
% 108.61/109.03 maxlength = 115
% 108.61/109.03 maxnrvars = 195
% 108.61/109.03 excuselevel = 1
% 108.61/109.03 increasemaxweight = 1
% 108.61/109.03
% 108.61/109.03 maxselected = 10000000
% 108.61/109.03 maxnrclauses = 10000000
% 108.61/109.03
% 108.61/109.03 showgenerated = 0
% 108.61/109.03 showkept = 0
% 108.61/109.03 showselected = 0
% 108.61/109.03 showdeleted = 0
% 108.61/109.03 showresimp = 1
% 108.61/109.03 showstatus = 2000
% 108.61/109.03
% 108.61/109.03 prologoutput = 1
% 108.61/109.03 nrgoals = 5000000
% 108.61/109.03 totalproof = 1
% 108.61/109.03
% 108.61/109.03 Symbols occurring in the translation:
% 108.61/109.03
% 108.61/109.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 108.61/109.03 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 108.61/109.03 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 108.61/109.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 108.61/109.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 108.61/109.03 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 108.61/109.03 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 108.61/109.03 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 108.61/109.03 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 108.61/109.03 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 108.61/109.03 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Starting Search:
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 25139
% 108.61/109.03 Kept: 2005
% 108.61/109.03 Inuse: 204
% 108.61/109.03 Deleted: 13
% 108.61/109.03 Deletedinuse: 8
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 106742
% 108.61/109.03 Kept: 4006
% 108.61/109.03 Inuse: 448
% 108.61/109.03 Deleted: 28
% 108.61/109.03 Deletedinuse: 8
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 172401
% 108.61/109.03 Kept: 6006
% 108.61/109.03 Inuse: 608
% 108.61/109.03 Deleted: 81
% 108.61/109.03 Deletedinuse: 32
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 299184
% 108.61/109.03 Kept: 8012
% 108.61/109.03 Inuse: 785
% 108.61/109.03 Deleted: 132
% 108.61/109.03 Deletedinuse: 80
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 668255
% 108.61/109.03 Kept: 10012
% 108.61/109.03 Inuse: 1130
% 108.61/109.03 Deleted: 188
% 108.61/109.03 Deletedinuse: 80
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 1917507
% 108.61/109.03 Kept: 12013
% 108.61/109.03 Inuse: 1725
% 108.61/109.03 Deleted: 273
% 108.61/109.03 Deletedinuse: 80
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 2140551
% 108.61/109.03 Kept: 14181
% 108.61/109.03 Inuse: 1849
% 108.61/109.03 Deleted: 297
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 2214278
% 108.61/109.03 Kept: 16242
% 108.61/109.03 Inuse: 1890
% 108.61/109.03 Deleted: 301
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 2361044
% 108.61/109.03 Kept: 18292
% 108.61/109.03 Inuse: 1962
% 108.61/109.03 Deleted: 302
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying clauses:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 2531658
% 108.61/109.03 Kept: 20319
% 108.61/109.03 Inuse: 2038
% 108.61/109.03 Deleted: 2148
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 2845283
% 108.61/109.03 Kept: 22350
% 108.61/109.03 Inuse: 2171
% 108.61/109.03 Deleted: 2148
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 3299445
% 108.61/109.03 Kept: 24360
% 108.61/109.03 Inuse: 2351
% 108.61/109.03 Deleted: 2148
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 3886246
% 108.61/109.03 Kept: 26365
% 108.61/109.03 Inuse: 2569
% 108.61/109.03 Deleted: 2151
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 4819099
% 108.61/109.03 Kept: 28368
% 108.61/109.03 Inuse: 2884
% 108.61/109.03 Deleted: 2155
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 6947582
% 108.61/109.03 Kept: 30369
% 108.61/109.03 Inuse: 3370
% 108.61/109.03 Deleted: 2175
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 9478266
% 108.61/109.03 Kept: 32369
% 108.61/109.03 Inuse: 3966
% 108.61/109.03 Deleted: 2175
% 108.61/109.03 Deletedinuse: 81
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 14113701
% 108.61/109.03 Kept: 34372
% 108.61/109.03 Inuse: 4941
% 108.61/109.03 Deleted: 2224
% 108.61/109.03 Deletedinuse: 87
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 17650822
% 108.61/109.03 Kept: 36373
% 108.61/109.03 Inuse: 5619
% 108.61/109.03 Deleted: 2373
% 108.61/109.03 Deletedinuse: 219
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03
% 108.61/109.03 Intermediate Status:
% 108.61/109.03 Generated: 25317107
% 108.61/109.03 Kept: 38374
% 108.61/109.03 Inuse: 6618
% 108.61/109.03 Deleted: 2429
% 108.61/109.03 Deletedinuse: 251
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03 Done
% 108.61/109.03
% 108.61/109.03 Resimplifying inuse:
% 108.61/109.03
% 108.61/109.03 Bliksems!, er is een bewijs:
% 108.61/109.03 % SZS status Unsatisfiable
% 108.61/109.03 % SZS output start Refutation
% 108.61/109.03
% 108.61/109.03 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 108.61/109.03 , Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 108.61/109.03 X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 108.61/109.03 ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 108.61/109.03 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.61/109.03 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 108.61/109.03 ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 108.61/109.03 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 108.61/109.03 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 108.61/109.03 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.61/109.03 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 108.61/109.03 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 108.61/109.03 ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 108.61/109.03 , identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 108.61/109.03 identity ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 108.61/109.03 ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 108.61/109.03 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 108.61/109.03 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 108.61/109.03 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.61/109.03 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.61/109.03 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.61/109.03 'least_upper_bound'( X, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 108.61/109.03 X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.61/109.03 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.61/109.03 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.61/109.03 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.61/109.03 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 108.61/109.03 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 108.61/109.03 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 108.61/109.03 multiply( Y, X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.61/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.61/109.03 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 108.61/109.03 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 108.61/109.03 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.61/109.03 )
% 108.61/109.03 .
% 108.61/109.03 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.61/109.03 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.61/109.03 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.61/109.03 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.61/109.03 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 108.61/109.03 , Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.61/109.03 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 108.61/109.03 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 160, [ =( inverse( identity ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 108.61/109.03 ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.61/109.03 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 108.61/109.03 , a ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 108.61/109.03 )
% 108.61/109.03 .
% 108.61/109.03 clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.61/109.03 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 185, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.61/109.03 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 108.61/109.03 ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.61/109.03 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.61/109.03 )
% 108.61/109.03 .
% 108.61/109.03 clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 108.61/109.03 ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 205, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 108.61/109.03 Y ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.61/109.03 inverse( X ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 108.61/109.03 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.61/109.03 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.61/109.03 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 108.61/109.03 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.61/109.03 'least_upper_bound'( X, Y ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 108.61/109.03 'least_upper_bound'( X, Y ) ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.61/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 108.61/109.03 'least_upper_bound'( X, T ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.61/109.03 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 108.61/109.03 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 108.61/109.03 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 551, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 108.61/109.03 identity, Y ) ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 108.61/109.03 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 564, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 108.61/109.03 Y, identity ) ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 108.61/109.03 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.61/109.03 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.61/109.03 ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.61/109.03 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.61/109.03 ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 688, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 108.61/109.03 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.61/109.03 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 108.61/109.03 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.61/109.03 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.61/109.03 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.61/109.03 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.61/109.03 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.61/109.03 ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.61/109.03 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 2161, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity )
% 108.61/109.03 ), X ), inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ]
% 108.61/109.03 )
% 108.61/109.03 .
% 108.61/109.03 clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 108.61/109.03 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 108.61/109.03 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 108.61/109.03 inverse( Y ), identity ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.61/109.03 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.61/109.03 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 108.61/109.03 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 108.61/109.03 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.61/109.03 inverse( X ), identity ) ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.61/109.03 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.61/109.03 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 108.61/109.03 ) ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.61/109.03 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 108.61/109.03 ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4279, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.61/109.03 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 108.61/109.03 ) ) ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 108.61/109.03 , Y ), inverse( X ) ), identity ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 108.61/109.03 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 108.61/109.03 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 108.61/109.03 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.61/109.03 inverse( X ), Y ) ), X ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 108.61/109.03 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.61/109.03 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.61/109.03 .
% 108.61/109.03 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.67/109.03 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 108.67/109.03 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.67/109.03 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 108.67/109.03 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.03 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.67/109.03 , inverse( Y ) ) ) ), Y ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.03 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.67/109.03 ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.67/109.03 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.67/109.03 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.03 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.03 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.67/109.03 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.03 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 39117, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 108.67/109.03 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 39286, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 108.67/109.03 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 108.67/109.03 .
% 108.67/109.03 clause( 39667, [] )
% 108.67/109.03 .
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 % SZS output end Refutation
% 108.67/109.03 found a proof!
% 108.67/109.03
% 108.67/109.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 108.67/109.03
% 108.67/109.03 initialclauses(
% 108.67/109.03 [ clause( 39669, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.03 , clause( 39670, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , clause( 39671, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.03 multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39672, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.03 'greatest_lower_bound'( Y, X ) ) ] )
% 108.67/109.03 , clause( 39673, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 108.67/109.03 X ) ) ] )
% 108.67/109.03 , clause( 39674, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 108.67/109.03 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 108.67/109.03 )
% 108.67/109.03 , clause( 39675, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 108.67/109.03 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39676, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 108.67/109.03 , clause( 39677, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.67/109.03 , clause( 39678, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , clause( 39679, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , clause( 39680, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , clause( 39681, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.03 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , clause( 39682, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39683, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.67/109.03 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39684, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 108.67/109.03 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 108.67/109.03 ) ) ] )
% 108.67/109.03 ] ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.03 , clause( 39669, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , clause( 39670, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39690, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 108.67/109.03 , Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39671, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.03 multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 108.67/109.03 , Z ) ) ] )
% 108.67/109.03 , clause( 39690, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 108.67/109.03 X, Y ), Z ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 108.67/109.03 X ) ) ] )
% 108.67/109.03 , clause( 39672, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.03 'greatest_lower_bound'( Y, X ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 108.67/109.03 ] )
% 108.67/109.03 , clause( 39673, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 108.67/109.03 X ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 108.67/109.03 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39674, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 108.67/109.03 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 108.67/109.03 )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39675, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 108.67/109.03 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.67/109.03 , clause( 39677, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 108.67/109.03 ) ] )
% 108.67/109.03 , clause( 39678, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39679, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39739, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.03 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39680, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 108.67/109.03 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39739, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.03 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39750, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 108.67/109.03 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39681, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.03 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.03 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 39750, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 108.67/109.03 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39762, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.03 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39682, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 108.67/109.03 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39762, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 108.67/109.03 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39775, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 108.67/109.03 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39683, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.67/109.03 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.03 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , clause( 39775, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 108.67/109.03 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 108.67/109.03 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 108.67/109.03 ) ) ] )
% 108.67/109.03 , clause( 39684, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 108.67/109.03 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 108.67/109.03 ) ) ] )
% 108.67/109.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39790, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.67/109.03 Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.67/109.03 ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39793, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 108.67/109.03 ), identity ) ] )
% 108.67/109.03 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , 0, clause( 39790, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.03 multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 108.67/109.03 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 108.67/109.03 , identity ) ] )
% 108.67/109.03 , clause( 39793, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 108.67/109.03 , Y ), identity ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39799, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.67/109.03 Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.67/109.03 ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39804, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 108.67/109.03 , identity ) ) ] )
% 108.67/109.03 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , 0, clause( 39799, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.03 multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.03 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 108.67/109.03 identity ) ) ] )
% 108.67/109.03 , clause( 39804, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 108.67/109.03 X, identity ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39809, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.67/109.03 Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.67/109.03 ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39814, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 108.67/109.03 ) ) ] )
% 108.67/109.03 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.03 , 0, clause( 39809, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.03 multiply( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.03 :=( Y, identity ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 108.67/109.03 ] )
% 108.67/109.03 , clause( 39814, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 108.67/109.03 Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39819, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39820, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , 0, clause( 39819, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 108.67/109.03 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39823, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39820, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.67/109.03 ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39823, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 108.67/109.03 X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39824, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39825, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39824, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39828, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39825, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 108.67/109.03 , X ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39828, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39829, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39830, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39829, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 108.67/109.03 , Y ), X ) ) ] )
% 108.67/109.03 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39833, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39830, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 108.67/109.03 ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39833, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 108.67/109.03 X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39835, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39840, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 108.67/109.03 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 108.67/109.03 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, clause( 39835, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 108.67/109.03 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 108.67/109.03 ] )
% 108.67/109.03 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 108.67/109.03 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 108.67/109.03 , clause( 39840, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 108.67/109.03 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39845, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39848, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, clause( 39845, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 108.67/109.03 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 108.67/109.03 ] )
% 108.67/109.03 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 108.67/109.03 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 108.67/109.03 , clause( 39848, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.67/109.03 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39853, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39859, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 108.67/109.03 , 0, clause( 39853, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 108.67/109.03 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 108.67/109.03 ] )
% 108.67/109.03 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.03 :=( Y, Y ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 108.67/109.03 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.67/109.03 , clause( 39859, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.67/109.03 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39865, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39868, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.67/109.03 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, clause( 39865, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.03 Y, X ) ) ) ] )
% 108.67/109.03 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39869, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 39868, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.67/109.03 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 39869, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.67/109.03 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39871, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39872, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, clause( 39871, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 108.67/109.03 ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39873, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 108.67/109.03 , clause( 39872, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 108.67/109.03 , clause( 39873, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39875, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39878, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.03 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.67/109.03 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, clause( 39875, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39879, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.03 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 39878, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.03 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.03 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 39879, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 108.67/109.03 , 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39880, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39881, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , 0, clause( 39880, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39884, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39881, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 108.67/109.03 , X ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39884, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.67/109.03 ) ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39885, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39886, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39885, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 X, Y ) ) ) ] )
% 108.67/109.03 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 108.67/109.03 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39889, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39886, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 108.67/109.03 ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39889, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.67/109.03 X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39890, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.67/109.03 ) ) ) ] )
% 108.67/109.03 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39891, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39890, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.03 Y, X ) ) ) ] )
% 108.67/109.03 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 108.67/109.03 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39894, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 108.67/109.03 ), X ) ] )
% 108.67/109.03 , clause( 39891, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 108.67/109.03 ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 108.67/109.03 X ) ] )
% 108.67/109.03 , clause( 39894, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.03 X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39896, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , Y ) ) ] )
% 108.67/109.03 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39897, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 108.67/109.03 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, clause( 39896, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.67/109.03 , Y ), Y ) ) ] )
% 108.67/109.03 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.67/109.03 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 108.67/109.03 ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39898, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.03 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , clause( 39897, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.03 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 108.67/109.03 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.03 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.67/109.03 , clause( 39898, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.03 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39899, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.03 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39902, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.03 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39899, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 108.67/109.03 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 108.67/109.03 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.03 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.67/109.03 , clause( 39902, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 108.67/109.03 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39917, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 108.67/109.03 , X ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39918, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.03 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.03 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.03 , 0, clause( 39917, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.67/109.03 , Y ), X ) ) ] )
% 108.67/109.03 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 108.67/109.03 ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39919, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.67/109.03 , clause( 39918, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.67/109.03 , clause( 39919, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.03 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39920, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.03 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39922, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, clause( 39920, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.67/109.03 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39924, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 108.67/109.03 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.03 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.03 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, clause( 39922, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.03 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 108.67/109.03 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.03 , clause( 39924, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 108.67/109.03 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39926, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.03 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39928, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 108.67/109.03 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.67/109.03 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , 0, clause( 39926, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.03 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.03 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.03 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39931, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 108.67/109.03 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.03 , clause( 39928, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 108.67/109.03 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 108.67/109.03 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.03 , clause( 39931, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 108.67/109.03 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.03 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39934, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 108.67/109.03 ) ) ] )
% 108.67/109.03 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 108.67/109.03 ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39937, [ =( multiply( inverse( identity ), X ), multiply( identity
% 108.67/109.03 , X ) ) ] )
% 108.67/109.03 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.03 , 0, clause( 39934, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 108.67/109.03 ), Y ) ) ] )
% 108.67/109.03 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 108.67/109.03 inverse( identity ) ), :=( Y, X )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39938, [ =( multiply( inverse( identity ), X ), X ) ] )
% 108.67/109.03 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.03 , 0, clause( 39937, [ =( multiply( inverse( identity ), X ), multiply(
% 108.67/109.03 identity, X ) ) ] )
% 108.67/109.03 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.03 ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 subsumption(
% 108.67/109.03 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 108.67/109.03 , clause( 39938, [ =( multiply( inverse( identity ), X ), X ) ] )
% 108.67/109.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 eqswap(
% 108.67/109.03 clause( 39941, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 108.67/109.03 Y, Z ) ) ) ] )
% 108.67/109.03 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.67/109.03 ), Z ) ) ] )
% 108.67/109.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.03
% 108.67/109.03
% 108.67/109.03 paramod(
% 108.67/109.03 clause( 39946, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 108.67/109.03 multiply( X, Y ) ) ] )
% 108.67/109.03 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 108.67/109.04 , 0, clause( 39941, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 108.67/109.04 multiply( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 108.67/109.04 multiply( Y, X ) ) ] )
% 108.67/109.04 , clause( 39946, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 108.67/109.04 multiply( X, Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39951, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.04 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39953, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 108.67/109.04 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.04 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 39951, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), T ) ), :=( Y, X
% 108.67/109.04 ), :=( Z, Y )] ), substitution( 1, [ :=( X, 'least_upper_bound'( X, Y )
% 108.67/109.04 ), :=( Y, Z ), :=( Z, T )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39954, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.67/109.04 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.04 , clause( 39953, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.67/109.04 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.04 , clause( 39954, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.67/109.04 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39955, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.04 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39957, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , 0, clause( 39955, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39959, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.04 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, clause( 39957, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 108.67/109.04 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 39959, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39961, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.04 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39964, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 108.67/109.04 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 39961, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.04 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39967, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 108.67/109.04 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 39964, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 108.67/109.04 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 108.67/109.04 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 39967, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 108.67/109.04 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39968, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.04 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39970, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.04 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, clause( 39968, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39972, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 108.67/109.04 'least_upper_bound'( Y, X ), Z ) ) ] )
% 108.67/109.04 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.04 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 39970, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.67/109.04 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.67/109.04 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.67/109.04 , clause( 39972, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 108.67/109.04 'least_upper_bound'( Y, X ), Z ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39974, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.04 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39975, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.67/109.04 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 39974, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 108.67/109.04 identity ), :=( Y, Y ), :=( Z, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39977, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.67/109.04 , clause( 39975, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 108.67/109.04 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.67/109.04 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.67/109.04 , clause( 39977, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( identity, X ), Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39980, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.04 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39982, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 39980, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, identity )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39984, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , clause( 39982, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.67/109.04 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.67/109.04 , clause( 39984, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39986, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 108.67/109.04 identity ) ), Y ) ) ] )
% 108.67/109.04 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 108.67/109.04 multiply( Y, X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39989, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 108.67/109.04 identity, X ) ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 39986, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 108.67/109.04 identity ) ), Y ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 108.67/109.04 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39990, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 39989, [ =( multiply( inverse( inverse( identity ) ), X ),
% 108.67/109.04 multiply( identity, X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 39990, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 108.67/109.04 )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39993, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.04 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39994, [ =( multiply( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 108.67/109.04 ), multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.67/109.04 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 39993, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 108.67/109.04 :=( Z, T )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39995, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 108.67/109.04 , Y ) ) ] )
% 108.67/109.04 , clause( 39994, [ =( multiply( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 108.67/109.04 ), multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 108.67/109.04 , Y ) ) ] )
% 108.67/109.04 , clause( 39995, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 108.67/109.04 , Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 39996, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.67/109.04 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 39998, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.04 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , 0, clause( 39996, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40000, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 108.67/109.04 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 108.67/109.04 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.67/109.04 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 39998, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 108.67/109.04 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.67/109.04 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.67/109.04 , clause( 40000, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 108.67/109.04 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40002, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 108.67/109.04 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40004, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40002, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, identity )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40006, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 108.67/109.04 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , clause( 40004, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 108.67/109.04 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 108.67/109.04 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 108.67/109.04 , clause( 40006, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40007, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40009, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 40007, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 108.67/109.04 ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 108.67/109.04 , [ :=( X, inverse( identity ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 160, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , clause( 40009, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40012, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 108.67/109.04 Y ) ), Y ) ) ] )
% 108.67/109.04 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 108.67/109.04 , identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40015, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 108.67/109.04 identity, X ) ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 40012, [ =( multiply( X, identity ), multiply( multiply( X,
% 108.67/109.04 inverse( Y ) ), Y ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 108.67/109.04 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40016, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40015, [ =( multiply( inverse( inverse( X ) ), identity ),
% 108.67/109.04 multiply( identity, X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.67/109.04 , clause( 40016, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 108.67/109.04 )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40019, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40022, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40019, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 108.67/109.04 ), Y ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 inverse( X ) ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 40022, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 108.67/109.04 Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40029, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 108.67/109.04 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40032, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 108.67/109.04 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 108.67/109.04 ), Y ) ) ) ] )
% 108.67/109.04 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40029, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40042, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 108.67/109.04 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40032, [ =( multiply( inverse( inverse( X ) ),
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 108.67/109.04 inverse( inverse( X ) ), Y ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40044, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40042, [ =( multiply( inverse( inverse( X ) ),
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 108.67/109.04 , Y ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 108.67/109.04 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40045, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , clause( 40044, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.67/109.04 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , clause( 40045, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40046, [ ~( =( identity, 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 108.67/109.04 identity ) ) ) ) ) ] )
% 108.67/109.04 , clause( 15, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 108.67/109.04 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40047, [ ~( =( identity, 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( identity, a ), inverse( 'greatest_lower_bound'( a,
% 108.67/109.04 identity ) ) ) ) ) ] )
% 108.67/109.04 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, clause( 40046, [ ~( =( identity, 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 108.67/109.04 identity ) ) ) ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 108.67/109.04 1, [] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40050, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.67/109.04 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , clause( 40047, [ ~( =( identity, 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( identity, a ), inverse( 'greatest_lower_bound'( a,
% 108.67/109.04 identity ) ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 108.67/109.04 , a ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 40050, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.67/109.04 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40051, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40054, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40051, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 108.67/109.04 ), Y ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, identity )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , clause( 40054, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40059, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40062, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 40059, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 108.67/109.04 ), Y ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, inverse( X ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , clause( 40062, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40065, [ =( X, multiply( X, identity ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40068, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40065, [ =( X, multiply( X, identity ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 108.67/109.04 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40069, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40068, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 108.67/109.04 ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , clause( 40069, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40072, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.04 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40073, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40072, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, identity ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40075, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , clause( 40073, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 108.67/109.04 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , clause( 40075, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40078, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 108.67/109.04 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40080, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40078, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, identity )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40082, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40080, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 108.67/109.04 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 185, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40082, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40084, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 108.67/109.04 Y ) ), Y ) ) ] )
% 108.67/109.04 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 108.67/109.04 , identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40086, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 108.67/109.04 inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40084, [ =( multiply( X, identity ), multiply( multiply( X,
% 108.67/109.04 inverse( Y ) ), Y ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, inverse( Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40087, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40086, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 108.67/109.04 ), inverse( Y ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40088, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 108.67/109.04 , clause( 40087, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.04 , clause( 40088, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40090, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40095, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 108.67/109.04 identity, inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 108.67/109.04 ), identity ) ] )
% 108.67/109.04 , 0, clause( 40090, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40096, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40095, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 multiply( identity, inverse( Y ) ) ) ] )
% 108.67/109.04 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 40096, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 108.67/109.04 Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40099, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 108.67/109.04 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40101, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 108.67/109.04 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.04 , 0, clause( 40099, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.67/109.04 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 40101, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 108.67/109.04 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 108.67/109.04 ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40104, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40108, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 108.67/109.04 inverse( multiply( X, Y ) ) ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40104, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.67/109.04 ), X ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40109, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40108, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 108.67/109.04 inverse( multiply( X, Y ) ) ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 108.67/109.04 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40110, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 40109, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 40110, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 108.67/109.04 X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40112, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 108.67/109.04 Y ) ), Y ) ) ] )
% 108.67/109.04 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 108.67/109.04 , identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40118, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 108.67/109.04 identity ), multiply( inverse( Y ), X ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40112, [ =( multiply( X, identity ), multiply( multiply( X,
% 108.67/109.04 inverse( Y ) ), Y ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 108.67/109.04 , X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40119, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.67/109.04 inverse( Y ), X ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40118, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 108.67/109.04 identity ), multiply( inverse( Y ), X ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 108.67/109.04 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 205, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 108.67/109.04 Y ), X ) ) ] )
% 108.67/109.04 , clause( 40119, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.67/109.04 inverse( Y ), X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40122, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40127, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.67/109.04 inverse( multiply( X, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 108.67/109.04 , identity ) ) ] )
% 108.67/109.04 , 0, clause( 40122, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40128, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40127, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 108.67/109.04 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 40128, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40130, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 108.67/109.04 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 108.67/109.04 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40133, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.67/109.04 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 108.67/109.04 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , 0, clause( 40130, [ =( 'greatest_lower_bound'( X, Z ),
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 108.67/109.04 , Z ) ), Z ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 108.67/109.04 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 108.67/109.04 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40146, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 108.67/109.04 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 40133, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 Z, Y ) ) ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 108.67/109.04 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 108.67/109.04 ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40147, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 108.67/109.04 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , clause( 40146, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 108.67/109.04 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 108.67/109.04 , clause( 40147, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 108.67/109.04 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40149, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40152, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 232, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 108.67/109.04 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 108.67/109.04 , 0, clause( 40149, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.67/109.04 , Y ), X ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 108.67/109.04 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 108.67/109.04 'least_upper_bound'( Z, X ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40153, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , clause( 40152, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , clause( 40153, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40154, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40157, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 108.67/109.04 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 108.67/109.04 , clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 108.67/109.04 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 108.67/109.04 , 0, clause( 40154, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40160, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40157, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 108.67/109.04 ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 108.67/109.04 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 40160, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40161, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40162, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40161, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40165, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 108.67/109.04 , clause( 40162, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 108.67/109.04 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 108.67/109.04 , clause( 40165, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40166, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40169, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 108.67/109.04 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 108.67/109.04 , clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 108.67/109.04 'least_upper_bound'( Z, X ), Y ) ) ] )
% 108.67/109.04 , 0, clause( 40166, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40172, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 108.67/109.04 'least_upper_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40169, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 108.67/109.04 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 108.67/109.04 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.67/109.04 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 40172, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 108.67/109.04 'least_upper_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40174, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 108.67/109.04 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 289, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 108.67/109.04 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40173, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40177, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( Y, X ) ), identity ) ] )
% 108.67/109.04 , clause( 40174, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 108.67/109.04 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 108.67/109.04 'least_upper_bound'( X, Y ) ), identity ) ] )
% 108.67/109.04 , clause( 40177, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( Y, X ) ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40179, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 108.67/109.04 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 108.67/109.04 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40195, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 108.67/109.04 'least_upper_bound'( X, T ) ) ] )
% 108.67/109.04 , clause( 33, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40179, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 108.67/109.04 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.04 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ) ), :=( Z, T )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 108.67/109.04 'least_upper_bound'( X, T ) ) ] )
% 108.67/109.04 , clause( 40195, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 108.67/109.04 'least_upper_bound'( X, T ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40200, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40201, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40200, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 108.67/109.04 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40201, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40203, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40204, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40205, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 108.67/109.04 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 108.67/109.04 , clause( 40203, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 108.67/109.04 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40204, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40206, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 108.67/109.04 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 108.67/109.04 , clause( 40205, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 108.67/109.04 , clause( 40206, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 108.67/109.04 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40208, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40227, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 108.67/109.04 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 108.67/109.04 ), identity ) ] )
% 108.67/109.04 , 0, clause( 40208, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 108.67/109.04 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40229, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 108.67/109.04 Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40227, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 108.67/109.04 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40230, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 108.67/109.04 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40229, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( Y ), identity ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 108.67/109.04 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 40230, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 108.67/109.04 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40235, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40236, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 108.67/109.04 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40235, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.67/109.04 , Y ), X ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40237, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40236, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 551, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 108.67/109.04 identity, Y ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40237, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40239, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 184, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40241, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 108.67/109.04 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, clause( 40239, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 108.67/109.04 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 108.67/109.04 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40242, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40241, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 108.67/109.04 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40243, [ =( 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40242, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 108.67/109.04 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 108.67/109.04 , clause( 40243, [ =( 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40244, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 108.67/109.04 , clause( 551, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40245, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40244, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40248, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40245, [ =( X, 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 564, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 108.67/109.04 Y, identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40248, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40250, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.67/109.04 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.04 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40252, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 564, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 108.67/109.04 , 0, clause( 40250, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.04 'least_upper_bound'( X, Y ), X ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40253, [ =( X, 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 564, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 108.67/109.04 , 0, clause( 40252, [ =( 'least_upper_bound'( multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 108.67/109.04 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40255, [ =( 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40253, [ =( X, 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40255, [ =( 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40258, [ =( X, 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 592, [ =( 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40259, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.04 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , clause( 271, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40258, [ =( X, 'least_upper_bound'( X, multiply( X,
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 108.67/109.04 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 108.67/109.04 ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40260, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40259, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.04 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40260, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40262, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 553, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 108.67/109.04 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40263, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , clause( 304, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 108.67/109.04 'least_upper_bound'( X, Y ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40262, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 108.67/109.04 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 108.67/109.04 , :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40264, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 40263, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 40264, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40266, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 512, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40285, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( multiply(
% 108.67/109.04 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 108.67/109.04 ), identity ) ] )
% 108.67/109.04 , 0, clause( 40266, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 108.67/109.04 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40287, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'( inverse(
% 108.67/109.04 Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40285, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'(
% 108.67/109.04 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40288, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 108.67/109.04 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40287, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'greatest_lower_bound'( Y, identity ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( Y ), identity ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 688, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 108.67/109.04 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 40288, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 108.67/109.04 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40292, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40293, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40292, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 108.67/109.04 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 108.67/109.04 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40293, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 108.67/109.04 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40296, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40315, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 108.67/109.04 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 108.67/109.04 ), identity ) ] )
% 108.67/109.04 , 0, clause( 40296, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 108.67/109.04 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40317, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 108.67/109.04 identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40315, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 108.67/109.04 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40318, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 108.67/109.04 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40317, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 108.67/109.04 ), identity ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 108.67/109.04 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 40318, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 108.67/109.04 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40322, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40324, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, clause( 40322, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 108.67/109.04 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , clause( 40324, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40332, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 108.67/109.04 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 108.67/109.04 'least_upper_bound'( identity, Y ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40345, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 108.67/109.04 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 108.67/109.04 X ), Y ) ) ) ] )
% 108.67/109.04 , clause( 759, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 108.67/109.04 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , 0, clause( 40332, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 108.67/109.04 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.67/109.04 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40348, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 108.67/109.04 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40345, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 108.67/109.04 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 108.67/109.04 identity, X ), Y ) ) ) ] )
% 108.67/109.04 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40350, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40348, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 108.67/109.04 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40351, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , clause( 40350, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , clause( 40351, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40352, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , clause( 118, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 108.67/109.04 'least_upper_bound'( Y, identity ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40353, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40354, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 108.67/109.04 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , clause( 40352, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 108.67/109.04 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , 0, clause( 40353, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 108.67/109.04 ), X ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40355, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 108.67/109.04 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40354, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 108.67/109.04 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 108.67/109.04 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.67/109.04 , clause( 40355, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 108.67/109.04 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40356, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.67/109.04 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 108.67/109.04 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40357, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40358, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 108.67/109.04 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 108.67/109.04 ] )
% 108.67/109.04 , clause( 40356, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 108.67/109.04 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40357, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40359, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.04 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 40358, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 108.67/109.04 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.04 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 40359, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.04 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40361, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40363, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 108.67/109.04 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 779, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 108.67/109.04 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , 0, clause( 40361, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40364, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 108.67/109.04 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40363, [ =( inverse( inverse( X ) ), multiply(
% 108.67/109.04 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 108.67/109.04 X ), identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40365, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40364, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 108.67/109.04 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40365, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40367, [ =( multiply( inverse( Y ), X ), inverse( multiply( inverse(
% 108.67/109.04 X ), Y ) ) ) ] )
% 108.67/109.04 , clause( 205, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 108.67/109.04 inverse( Y ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40375, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 108.67/109.04 ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) )
% 108.67/109.04 ] )
% 108.67/109.04 , clause( 688, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( Y,
% 108.67/109.04 identity ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , 0, clause( 40367, [ =( multiply( inverse( Y ), X ), inverse( multiply(
% 108.67/109.04 inverse( X ), Y ) ) ) ] )
% 108.67/109.04 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, 'greatest_lower_bound'( X, identity ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 2161, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity )
% 108.67/109.04 ), X ), inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 40375, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 108.67/109.04 identity ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ),
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40379, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 203, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40381, [ =( inverse( inverse( X ) ), multiply(
% 108.67/109.04 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 108.67/109.04 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.04 , 0, clause( 40379, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40382, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40381, [ =( inverse( inverse( X ) ), multiply(
% 108.67/109.04 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40383, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40382, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40383, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40385, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 108.67/109.04 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 108.67/109.04 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40388, [ =( multiply( inverse( multiply( X, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 197, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40385, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( Y ), identity ) ) ] )
% 108.67/109.04 , clause( 40388, [ =( multiply( inverse( multiply( X, Y ) ),
% 108.67/109.04 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( Y ), identity ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40391, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 108.67/109.04 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 108.67/109.04 'greatest_lower_bound'( Y, Z ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40394, [ =( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.04 , clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, clause( 40391, [ =( 'greatest_lower_bound'( Y, Z ),
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40399, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 108.67/109.04 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.04 , clause( 40394, [ =( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.67/109.04 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.67/109.04 , clause( 40399, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 108.67/109.04 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40401, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 108.67/109.04 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40406, [ =( multiply( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.67/109.04 , identity ) ) ) ) ] )
% 108.67/109.04 , clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40401, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 108.67/109.04 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 108.67/109.04 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.04 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40407, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.67/109.04 , identity ) ) ) ) ] )
% 108.67/109.04 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , 0, clause( 40406, [ =( multiply( 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.67/109.04 , identity ) ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.67/109.04 1, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40408, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , clause( 2182, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40407, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 108.67/109.04 , identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40409, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40408, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , clause( 40409, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40411, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 108.67/109.04 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40413, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 108.67/109.04 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40411, [ =( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 'least_upper_bound'( Y, Z ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40414, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 108.67/109.04 , clause( 3104, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40413, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40416, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 108.67/109.04 , clause( 40414, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 108.67/109.04 , clause( 40416, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 108.67/109.04 )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40419, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 108.67/109.04 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 1208, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 108.67/109.04 'least_upper_bound'( X, identity ), Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40425, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 108.67/109.04 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40419, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 108.67/109.04 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 108.67/109.04 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.04 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), :=( Y,
% 108.67/109.04 'least_upper_bound'( identity, X ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40426, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'(
% 108.67/109.04 inverse( 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.04 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.04 , 0, clause( 40425, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.04 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 108.67/109.04 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.67/109.04 1, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40427, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 2157, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40426, [ =( multiply( 'least_upper_bound'( identity, X ),
% 108.67/109.04 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 108.67/109.04 'least_upper_bound'( inverse( 'least_upper_bound'( inverse( X ), identity
% 108.67/109.04 ) ), X ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40428, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40427, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40428, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40430, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , clause( 3238, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 inverse( X ), identity ) ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40431, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40430, [ =( X, 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 X ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40432, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.67/109.04 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40431, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.67/109.04 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40432, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.04 , identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40434, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40435, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 3298, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.67/109.04 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , 0, clause( 40434, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 X, Y ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.04 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, inverse( X ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40436, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.04 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40435, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.04 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40436, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40438, [ =( multiply( X, Z ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 108.67/109.04 ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 108.67/109.04 , Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40440, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 108.67/109.04 X ) ), Z ), identity ) ) ] )
% 108.67/109.04 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40438, [ =( multiply( X, Z ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 108.67/109.04 ), multiply( X, Z ) ) ) ] )
% 108.67/109.04 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, inverse( X ) ), :=( T, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40442, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40440, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 108.67/109.04 X ) ), Z ), identity ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40444, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 40442, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 40444, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 108.67/109.04 ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40448, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , clause( 185, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 108.67/109.04 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40453, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 108.67/109.04 ) ), 'greatest_lower_bound'( X, identity ) ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 2161, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 108.67/109.04 ) ), X ), inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) )
% 108.67/109.04 ] )
% 108.67/109.04 , 0, clause( 40448, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 108.67/109.04 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.04 inverse( 'greatest_lower_bound'( X, identity ) ) ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40454, [ =( identity, 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.04 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 108.67/109.04 , 0, clause( 40453, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 108.67/109.04 identity ) ), 'greatest_lower_bound'( X, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 108.67/109.04 identity ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 108.67/109.04 , substitution( 1, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40455, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 108.67/109.04 ) ) ), identity ) ] )
% 108.67/109.04 , clause( 40454, [ =( identity, 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4279, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 108.67/109.04 ) ) ), identity ) ] )
% 108.67/109.04 , clause( 40455, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40457, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 108.67/109.04 ) ] )
% 108.67/109.04 , clause( 4018, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 108.67/109.04 ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40458, [ =( identity, 'least_upper_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 108.67/109.04 , clause( 3125, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, clause( 40457, [ =( identity, 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 108.67/109.04 X ) ), Z ), identity ) ) ] )
% 108.67/109.04 , 0, 3, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 108.67/109.04 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 108.67/109.04 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 108.67/109.04 , Z ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40460, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 108.67/109.04 , clause( 40458, [ =( identity, 'least_upper_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 108.67/109.04 , Y ), inverse( X ) ), identity ), identity ) ] )
% 108.67/109.04 , clause( 40460, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40463, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 3309, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.04 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40468, [ =( inverse( 'least_upper_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 108.67/109.04 , 0, clause( 40463, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40469, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 108.67/109.04 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 108.67/109.04 ) ) ) ) ) ] )
% 108.67/109.04 , clause( 4332, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 108.67/109.04 , 0, clause( 40468, [ =( inverse( 'least_upper_bound'( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 108.67/109.04 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40474, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 108.67/109.04 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , 0, clause( 40469, [ =( inverse( identity ), 'greatest_lower_bound'(
% 108.67/109.04 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40475, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 108.67/109.04 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , 0, clause( 40474, [ =( inverse( identity ), 'greatest_lower_bound'(
% 108.67/109.04 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40478, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 108.67/109.04 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 108.67/109.04 , clause( 213, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 108.67/109.04 inverse( X ) ) ) ] )
% 108.67/109.04 , 0, clause( 40475, [ =( identity, 'greatest_lower_bound'( identity,
% 108.67/109.04 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 108.67/109.04 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40479, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 108.67/109.04 , clause( 40478, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 108.67/109.04 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 108.67/109.04 , clause( 40479, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 108.67/109.04 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40481, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 108.67/109.04 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 108.67/109.04 , clause( 534, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 108.67/109.04 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40486, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 108.67/109.04 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , clause( 4371, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40481, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 108.67/109.04 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 108.67/109.04 ) )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40487, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 108.67/109.04 ), Z ) ) ] )
% 108.67/109.04 , 0, clause( 40486, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40488, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 108.67/109.04 , 0, clause( 40487, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 108.67/109.04 identity ) ) ) ] )
% 108.67/109.04 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 108.67/109.04 :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40489, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 108.67/109.04 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 108.67/109.04 , clause( 176, [ =( multiply( X, identity ), X ) ] )
% 108.67/109.04 , 0, clause( 40488, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 108.67/109.04 ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 108.67/109.04 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40490, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 108.67/109.04 , clause( 40489, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 108.67/109.04 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 108.67/109.04 , clause( 40490, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 108.67/109.04 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 108.67/109.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40492, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 108.67/109.04 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 108.67/109.04 , clause( 4806, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 108.67/109.04 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40494, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 108.67/109.04 , clause( 182, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 108.67/109.04 , 0, clause( 40492, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 108.67/109.04 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 108.67/109.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.04 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40495, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 108.67/109.04 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.04 , 0, clause( 40494, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 108.67/109.04 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40496, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.67/109.04 , clause( 40495, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.67/109.04 , clause( 40496, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40498, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 108.67/109.04 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40502, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.04 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 108.67/109.04 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40498, [ =( 'greatest_lower_bound'( Y, X ),
% 108.67/109.04 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40504, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), Y ) ), X ), X ) ] )
% 108.67/109.04 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, clause( 40502, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 108.67/109.04 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 108.67/109.04 Y ) ), X ) ) ) ] )
% 108.67/109.04 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 108.67/109.04 X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4953, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 inverse( X ), Y ) ), X ), X ) ] )
% 108.67/109.04 , clause( 40504, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40506, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 108.67/109.04 , clause( 4936, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40507, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , clause( 250, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , 0, clause( 40506, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 108.67/109.04 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 108.67/109.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40513, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.67/109.04 , clause( 40507, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.67/109.04 , clause( 40513, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40517, [ =( X, 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 108.67/109.04 , clause( 4953, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40518, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40517, [ =( X, 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40519, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40518, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 4974, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40519, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40521, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , clause( 4963, [ =( 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40522, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.67/109.04 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.04 , 0, clause( 40521, [ =( X, 'greatest_lower_bound'( X, inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 108.67/109.04 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 108.67/109.04 X ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40523, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40522, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 108.67/109.04 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40523, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40525, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40526, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.67/109.04 Y ) ) ) ] )
% 108.67/109.04 , clause( 5004, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 108.67/109.04 , 0, clause( 40525, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 108.67/109.04 Y, X ) ) ) ] )
% 108.67/109.04 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40527, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 108.67/109.04 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 108.67/109.04 , clause( 40526, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 108.67/109.04 Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 108.67/109.04 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 108.67/109.04 , clause( 40527, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.04 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 108.67/109.04 )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40529, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 108.67/109.04 , X ) ) ] )
% 108.67/109.04 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40530, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , clause( 4974, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , 0, clause( 40529, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 108.67/109.04 , Y ), X ) ) ] )
% 108.67/109.04 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.04 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 108.67/109.04 ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40531, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40530, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , clause( 40531, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.04 )] ) ).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40533, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , clause( 5052, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 108.67/109.04 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40537, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 108.67/109.04 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 108.67/109.04 , inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, clause( 40533, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 108.67/109.04 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 108.67/109.04 ) ) ) ) ] )
% 108.67/109.04 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 paramod(
% 108.67/109.04 clause( 40538, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.67/109.04 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 108.67/109.04 , X ) ] )
% 108.67/109.04 , 0, clause( 40537, [ =( inverse( 'greatest_lower_bound'(
% 108.67/109.04 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.67/109.04 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.04 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 eqswap(
% 108.67/109.04 clause( 40540, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 108.67/109.04 ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , clause( 40538, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.67/109.04 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.67/109.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.04
% 108.67/109.04
% 108.67/109.04 subsumption(
% 108.67/109.04 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 108.67/109.04 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 108.67/109.04 , clause( 40540, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.67/109.04 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 108.67/109.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40543, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.67/109.05 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.67/109.05 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40545, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40543, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 108.67/109.05 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 108.67/109.05 :=( Y, inverse( X ) )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40546, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.67/109.05 , inverse( X ) ) ), X ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40545, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 108.67/109.05 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.05 :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40548, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.05 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , clause( 40546, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 Y, inverse( X ) ) ), X ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.05 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , clause( 40548, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 108.67/109.05 , inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40551, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.05 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.67/109.05 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 108.67/109.05 , clause( 69, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 108.67/109.05 ), Z ), T ), X ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40555, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 108.67/109.05 inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 108.67/109.05 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.05 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , 0, clause( 40551, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 108.67/109.05 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.67/109.05 'least_upper_bound'( X, Y ), Z ), T ), X ), Y ) ) ] )
% 108.67/109.05 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.05 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y ),
% 108.67/109.05 :=( Z, Z ), :=( T, T )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40556, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 108.67/109.05 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.05 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , 0, clause( 40555, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 X, inverse( Y ) ) ), Y ), 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.05 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40559, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.67/109.05 T, inverse( X ) ) ) ) ) ] )
% 108.67/109.05 , clause( 431, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ), T ), X ),
% 108.67/109.05 'least_upper_bound'( X, T ) ) ] )
% 108.67/109.05 , 0, clause( 40556, [ =( Y, 'least_upper_bound'( 'least_upper_bound'(
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), T ), inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ) ), Y ) ) ] )
% 108.67/109.05 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 108.67/109.05 inverse( 'least_upper_bound'( T, inverse( X ) ) ) )] ), substitution( 1
% 108.67/109.05 , [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40560, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.67/109.05 , inverse( X ) ) ) ), X ) ] )
% 108.67/109.05 , clause( 40559, [ =( X, 'least_upper_bound'( X, inverse(
% 108.67/109.05 'least_upper_bound'( T, inverse( X ) ) ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.67/109.05 , inverse( Y ) ) ) ), Y ) ] )
% 108.67/109.05 , clause( 40560, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 108.67/109.05 Y, inverse( X ) ) ) ), X ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40562, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 108.67/109.05 ) ) ) ] )
% 108.67/109.05 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 108.67/109.05 , X ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40563, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.67/109.05 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.67/109.05 , Y ) ) ] )
% 108.67/109.05 , clause( 5579, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 108.67/109.05 inverse( X ) ) ), X ), X ) ] )
% 108.67/109.05 , 0, clause( 40562, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 108.67/109.05 X, Y ) ) ) ] )
% 108.67/109.05 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.05 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40564, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.05 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , clause( 40563, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 108.67/109.05 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 108.67/109.05 , Y ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 108.67/109.05 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , clause( 40564, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40566, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 108.67/109.05 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 108.67/109.05 , clause( 1314, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 108.67/109.05 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40569, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 108.67/109.05 Y, X ), identity ) ) ) ] )
% 108.67/109.05 , clause( 186, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 108.67/109.05 , 0, clause( 40566, [ =( inverse( Y ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 108.67/109.05 identity ) ) ) ] )
% 108.67/109.05 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.05 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40570, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40569, [ =( inverse( inverse( X ) ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 108.67/109.05 Y, X ), identity ) ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 108.67/109.05 :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40571, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 108.67/109.05 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 108.67/109.05 , clause( 40570, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.67/109.05 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.67/109.05 , clause( 40571, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 108.67/109.05 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40573, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 108.67/109.05 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.05 , clause( 790, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 108.67/109.05 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40580, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 108.67/109.05 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 108.67/109.05 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 108.67/109.05 , Y ), identity ) ) ) ) ] )
% 108.67/109.05 , clause( 12226, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 108.67/109.05 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 108.67/109.05 , 0, clause( 40573, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 108.67/109.05 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 108.67/109.05 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 108.67/109.05 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 108.67/109.05 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40581, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.67/109.05 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 108.67/109.05 , X ) ), identity ) ) ) ] )
% 108.67/109.05 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.05 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.05 , 0, clause( 40580, [ =( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 108.67/109.05 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 108.67/109.05 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 108.67/109.05 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40582, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 108.67/109.05 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.67/109.05 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 108.67/109.05 'least_upper_bound'( X, Y ) ) ] )
% 108.67/109.05 , 0, clause( 40581, [ =( 'least_upper_bound'( X, inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 108.67/109.05 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 108.67/109.05 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 108.67/109.05 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40583, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.67/109.05 , clause( 5587, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 108.67/109.05 X, inverse( Y ) ) ) ), Y ) ] )
% 108.67/109.05 , 0, clause( 40582, [ =( 'least_upper_bound'( X, inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 108.67/109.05 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 108.67/109.05 multiply( Y, X ) ) ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.05 :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40584, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 108.67/109.05 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 108.67/109.05 , clause( 40583, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 108.67/109.05 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 108.67/109.05 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.67/109.05 , clause( 40584, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 108.67/109.05 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 108.67/109.05 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40586, [ =( 'greatest_lower_bound'( identity, Y ),
% 108.67/109.05 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.05 , clause( 2634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 108.67/109.05 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40587, [ =( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 108.67/109.05 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 5607, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , 0, clause( 40586, [ =( 'greatest_lower_bound'( identity, Y ),
% 108.67/109.05 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 108.67/109.05 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 108.67/109.05 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40588, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.05 , clause( 40587, [ =( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 108.67/109.05 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.05 , clause( 40588, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40590, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 108.67/109.05 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 108.67/109.05 ] )
% 108.67/109.05 , clause( 1641, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.05 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40597, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.05 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 108.67/109.05 , clause( 38920, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ] )
% 108.67/109.05 , 0, clause( 40590, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 108.67/109.05 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 108.67/109.05 , Y ) ) ) ) ] )
% 108.67/109.05 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.05 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 108.67/109.05 'greatest_lower_bound'( identity, X ) )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40598, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 108.67/109.05 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 108.67/109.05 , clause( 201, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 108.67/109.05 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 108.67/109.05 )
% 108.67/109.05 , 0, clause( 40597, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 108.67/109.05 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 108.67/109.05 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 108.67/109.05 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40599, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 108.67/109.05 X ) ) ) ) ) ) ] )
% 108.67/109.05 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.05 , 0, clause( 40598, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 108.67/109.05 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 108.67/109.05 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 108.67/109.05 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40601, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40599, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 108.67/109.05 X ) ) ) ) ) ) ] )
% 108.67/109.05 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 108.67/109.05 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40602, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40601, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 108.67/109.05 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 108.67/109.05 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40607, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 108.67/109.05 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 108.67/109.05 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 108.67/109.05 , 0, clause( 40602, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 108.67/109.05 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 108.67/109.05 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 108.67/109.05 , [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40608, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 inverse( X ) ) ) ] )
% 108.67/109.05 , clause( 601, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 108.67/109.05 ) ) ) ] )
% 108.67/109.05 , 0, clause( 40607, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 108.67/109.05 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40609, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 5026, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 108.67/109.05 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 108.67/109.05 )
% 108.67/109.05 , 0, clause( 40608, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 108.67/109.05 inverse( X ) ) ) ] )
% 108.67/109.05 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 108.67/109.05 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 40609, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40612, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 108.67/109.05 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 108.67/109.05 , clause( 12275, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 108.67/109.05 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40615, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 108.67/109.05 ) ) ) ] )
% 108.67/109.05 , clause( 38939, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 108.67/109.05 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , 0, clause( 40612, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 108.67/109.05 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 108.67/109.05 )
% 108.67/109.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.05 identity ), :=( Y, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40616, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40615, [ =( X, multiply( inverse( inverse(
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 108.67/109.05 , multiply( identity, X ) ) ) ) ] )
% 108.67/109.05 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 108.67/109.05 , substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40617, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 108.67/109.05 , 0, clause( 40616, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 108.67/109.05 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 108.67/109.05 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40618, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.05 , clause( 40617, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.05 , clause( 40618, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40620, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 108.67/109.05 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 108.67/109.05 multiply( X, Y ) ) ) ) ] )
% 108.67/109.05 , clause( 2256, [ =( multiply( inverse( multiply( X, Y ) ),
% 108.67/109.05 'greatest_lower_bound'( X, multiply( X, Y ) ) ), 'greatest_lower_bound'(
% 108.67/109.05 inverse( Y ), identity ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40625, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), identity ), multiply( inverse( multiply(
% 108.67/109.05 'greatest_lower_bound'( identity, X ), 'least_upper_bound'( identity, X )
% 108.67/109.05 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40620, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 108.67/109.05 multiply( inverse( multiply( X, Y ) ), 'greatest_lower_bound'( X,
% 108.67/109.05 multiply( X, Y ) ) ) ) ] )
% 108.67/109.05 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'(
% 108.67/109.05 identity, X ) )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40626, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), identity ), multiply( inverse( X ),
% 108.67/109.05 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) ) ]
% 108.67/109.05 )
% 108.67/109.05 , clause( 39050, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 108.67/109.05 'least_upper_bound'( identity, X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40625, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse(
% 108.67/109.05 multiply( 'greatest_lower_bound'( identity, X ), 'least_upper_bound'(
% 108.67/109.05 identity, X ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 108.67/109.05 identity, X ), X ) ) ) ] )
% 108.67/109.05 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40628, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), identity ), multiply( inverse( X ),
% 108.67/109.05 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 30, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 108.67/109.05 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 108.67/109.05 , 0, clause( 40626, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 108.67/109.05 , 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ) ) )
% 108.67/109.05 ] )
% 108.67/109.05 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 108.67/109.05 substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40629, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), identity ), 'greatest_lower_bound'( inverse( X ),
% 108.67/109.05 identity ) ) ] )
% 108.67/109.05 , clause( 537, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 108.67/109.05 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 108.67/109.05 , 0, clause( 40628, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ), identity ), multiply( inverse( X )
% 108.67/109.05 , 'greatest_lower_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 108.67/109.05 :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40630, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.67/109.05 , clause( 624, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 108.67/109.05 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 108.67/109.05 ) ) ] )
% 108.67/109.05 , 0, clause( 40629, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ), identity ), 'greatest_lower_bound'(
% 108.67/109.05 inverse( X ), identity ) ) ] )
% 108.67/109.05 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40631, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 108.67/109.05 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 40630, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 108.67/109.05 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 39117, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 108.67/109.05 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , clause( 40631, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 108.67/109.05 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40633, [ =( identity, 'greatest_lower_bound'( inverse(
% 108.67/109.05 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.05 , clause( 4279, [ =( 'greatest_lower_bound'( inverse(
% 108.67/109.05 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40635, [ =( identity, 'greatest_lower_bound'( inverse( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ) ), inverse( 'greatest_lower_bound'(
% 108.67/109.05 X, identity ) ) ) ) ] )
% 108.67/109.05 , clause( 39117, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 108.67/109.05 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 108.67/109.05 , 0, clause( 40633, [ =( identity, 'greatest_lower_bound'( inverse(
% 108.67/109.05 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 108.67/109.05 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 108.67/109.05 ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40650, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.67/109.05 identity, X ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.05 , clause( 183, [ =( inverse( inverse( X ) ), X ) ] )
% 108.67/109.05 , 0, clause( 40635, [ =( identity, 'greatest_lower_bound'( inverse( inverse(
% 108.67/109.05 'least_upper_bound'( identity, X ) ) ), inverse( 'greatest_lower_bound'(
% 108.67/109.05 X, identity ) ) ) ) ] )
% 108.67/109.05 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 108.67/109.05 substitution( 1, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqswap(
% 108.67/109.05 clause( 40651, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 108.67/109.05 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 108.67/109.05 , clause( 40650, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 108.67/109.05 identity, X ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [ :=( X, X )] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 39286, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 108.67/109.05 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 108.67/109.05 , clause( 40651, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 108.67/109.05 , X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ]
% 108.67/109.05 )
% 108.67/109.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 paramod(
% 108.67/109.05 clause( 40654, [ ~( =( identity, identity ) ) ] )
% 108.67/109.05 , clause( 39286, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 108.67/109.05 , X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ]
% 108.67/109.05 )
% 108.67/109.05 , 0, clause( 175, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 108.67/109.05 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 108.67/109.05 identity ) ) ] )
% 108.67/109.05 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 eqrefl(
% 108.67/109.05 clause( 40655, [] )
% 108.67/109.05 , clause( 40654, [ ~( =( identity, identity ) ) ] )
% 108.67/109.05 , 0, substitution( 0, [] )).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 subsumption(
% 108.67/109.05 clause( 39667, [] )
% 108.67/109.05 , clause( 40655, [] )
% 108.67/109.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 end.
% 108.67/109.05
% 108.67/109.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 108.67/109.05
% 108.67/109.05 Memory use:
% 108.67/109.05
% 108.67/109.05 space for terms: 570201
% 108.67/109.05 space for clauses: 4146579
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 clauses generated: 29715796
% 108.67/109.05 clauses kept: 39668
% 108.67/109.05 clauses selected: 7142
% 108.67/109.05 clauses deleted: 3923
% 108.67/109.05 clauses inuse deleted: 1728
% 108.67/109.05
% 108.67/109.05 subsentry: 1270539
% 108.67/109.05 literals s-matched: 1267971
% 108.67/109.05 literals matched: 1267777
% 108.67/109.05 full subsumption: 0
% 108.67/109.05
% 108.67/109.05 checksum: 1439057174
% 108.67/109.05
% 108.67/109.05
% 108.67/109.05 Bliksem ended
%------------------------------------------------------------------------------