TSTP Solution File: GRP186-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP186-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:35:59 EDT 2022
% Result : Unsatisfiable 100.57s 100.96s
% Output : Refutation 100.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP186-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 18:47:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 100.57/100.96 *** allocated 10000 integers for termspace/termends
% 100.57/100.96 *** allocated 10000 integers for clauses
% 100.57/100.96 *** allocated 10000 integers for justifications
% 100.57/100.96 Bliksem 1.12
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Automatic Strategy Selection
% 100.57/100.96
% 100.57/100.96 Clauses:
% 100.57/100.96 [
% 100.57/100.96 [ =( multiply( identity, X ), X ) ],
% 100.57/100.96 [ =( multiply( inverse( X ), X ), identity ) ],
% 100.57/100.96 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 100.57/100.96 ],
% 100.57/100.96 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 100.57/100.96 ,
% 100.57/100.96 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 100.57/100.96 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 100.57/100.96 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 100.57/100.96 [ =( 'least_upper_bound'( X, X ), X ) ],
% 100.57/100.96 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 100.57/100.96 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 100.57/100.96 ,
% 100.57/100.96 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 100.57/100.96 ,
% 100.57/100.96 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 100.57/100.96 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.57/100.96 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.57/100.96 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 100.57/100.96 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.57/100.96 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.57/100.96 [ =( inverse( identity ), identity ) ],
% 100.57/100.96 [ =( inverse( inverse( X ) ), X ) ],
% 100.57/100.96 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 100.57/100.96 ) ],
% 100.57/100.96 [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ), multiply( a,
% 100.57/100.96 inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) ) ]
% 100.57/100.96 ] .
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 percentage equality = 1.000000, percentage horn = 1.000000
% 100.57/100.96 This is a pure equality problem
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Options Used:
% 100.57/100.96
% 100.57/100.96 useres = 1
% 100.57/100.96 useparamod = 1
% 100.57/100.96 useeqrefl = 1
% 100.57/100.96 useeqfact = 1
% 100.57/100.96 usefactor = 1
% 100.57/100.96 usesimpsplitting = 0
% 100.57/100.96 usesimpdemod = 5
% 100.57/100.96 usesimpres = 3
% 100.57/100.96
% 100.57/100.96 resimpinuse = 1000
% 100.57/100.96 resimpclauses = 20000
% 100.57/100.96 substype = eqrewr
% 100.57/100.96 backwardsubs = 1
% 100.57/100.96 selectoldest = 5
% 100.57/100.96
% 100.57/100.96 litorderings [0] = split
% 100.57/100.96 litorderings [1] = extend the termordering, first sorting on arguments
% 100.57/100.96
% 100.57/100.96 termordering = kbo
% 100.57/100.96
% 100.57/100.96 litapriori = 0
% 100.57/100.96 termapriori = 1
% 100.57/100.96 litaposteriori = 0
% 100.57/100.96 termaposteriori = 0
% 100.57/100.96 demodaposteriori = 0
% 100.57/100.96 ordereqreflfact = 0
% 100.57/100.96
% 100.57/100.96 litselect = negord
% 100.57/100.96
% 100.57/100.96 maxweight = 15
% 100.57/100.96 maxdepth = 30000
% 100.57/100.96 maxlength = 115
% 100.57/100.96 maxnrvars = 195
% 100.57/100.96 excuselevel = 1
% 100.57/100.96 increasemaxweight = 1
% 100.57/100.96
% 100.57/100.96 maxselected = 10000000
% 100.57/100.96 maxnrclauses = 10000000
% 100.57/100.96
% 100.57/100.96 showgenerated = 0
% 100.57/100.96 showkept = 0
% 100.57/100.96 showselected = 0
% 100.57/100.96 showdeleted = 0
% 100.57/100.96 showresimp = 1
% 100.57/100.96 showstatus = 2000
% 100.57/100.96
% 100.57/100.96 prologoutput = 1
% 100.57/100.96 nrgoals = 5000000
% 100.57/100.96 totalproof = 1
% 100.57/100.96
% 100.57/100.96 Symbols occurring in the translation:
% 100.57/100.96
% 100.57/100.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 100.57/100.96 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 100.57/100.96 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 100.57/100.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.57/100.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.57/100.96 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 100.57/100.96 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 100.57/100.96 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 100.57/100.96 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 100.57/100.96 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 100.57/100.96 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 100.57/100.96 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Starting Search:
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 24309
% 100.57/100.96 Kept: 2008
% 100.57/100.96 Inuse: 194
% 100.57/100.96 Deleted: 12
% 100.57/100.96 Deletedinuse: 3
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 99654
% 100.57/100.96 Kept: 4026
% 100.57/100.96 Inuse: 421
% 100.57/100.96 Deleted: 28
% 100.57/100.96 Deletedinuse: 3
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 183186
% 100.57/100.96 Kept: 6035
% 100.57/100.96 Inuse: 622
% 100.57/100.96 Deleted: 72
% 100.57/100.96 Deletedinuse: 34
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 304063
% 100.57/100.96 Kept: 8037
% 100.57/100.96 Inuse: 780
% 100.57/100.96 Deleted: 107
% 100.57/100.96 Deletedinuse: 67
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 731669
% 100.57/100.96 Kept: 10040
% 100.57/100.96 Inuse: 1156
% 100.57/100.96 Deleted: 160
% 100.57/100.96 Deletedinuse: 67
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 1919157
% 100.57/100.96 Kept: 12043
% 100.57/100.96 Inuse: 1718
% 100.57/100.96 Deleted: 241
% 100.57/100.96 Deletedinuse: 67
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 2160705
% 100.57/100.96 Kept: 14151
% 100.57/100.96 Inuse: 1843
% 100.57/100.96 Deleted: 262
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 2239766
% 100.57/100.96 Kept: 16233
% 100.57/100.96 Inuse: 1886
% 100.57/100.96 Deleted: 264
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 2382092
% 100.57/100.96 Kept: 18244
% 100.57/100.96 Inuse: 1955
% 100.57/100.96 Deleted: 265
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying clauses:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 2546197
% 100.57/100.96 Kept: 20246
% 100.57/100.96 Inuse: 2028
% 100.57/100.96 Deleted: 2075
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 2857954
% 100.57/100.96 Kept: 22255
% 100.57/100.96 Inuse: 2162
% 100.57/100.96 Deleted: 2075
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 3307085
% 100.57/100.96 Kept: 24273
% 100.57/100.96 Inuse: 2335
% 100.57/100.96 Deleted: 2075
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 3944858
% 100.57/100.96 Kept: 26283
% 100.57/100.96 Inuse: 2572
% 100.57/100.96 Deleted: 2079
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 4859390
% 100.57/100.96 Kept: 28283
% 100.57/100.96 Inuse: 2891
% 100.57/100.96 Deleted: 2079
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 6728316
% 100.57/100.96 Kept: 30295
% 100.57/100.96 Inuse: 3341
% 100.57/100.96 Deleted: 2103
% 100.57/100.96 Deletedinuse: 68
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 9568837
% 100.57/100.96 Kept: 32295
% 100.57/100.96 Inuse: 3964
% 100.57/100.96 Deleted: 2167
% 100.57/100.96 Deletedinuse: 101
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 13948468
% 100.57/100.96 Kept: 34301
% 100.57/100.96 Inuse: 4898
% 100.57/100.96 Deleted: 2235
% 100.57/100.96 Deletedinuse: 101
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 18100220
% 100.57/100.96 Kept: 36305
% 100.57/100.96 Inuse: 5647
% 100.57/100.96 Deleted: 2302
% 100.57/100.96 Deletedinuse: 149
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 Intermediate Status:
% 100.57/100.96 Generated: 26276183
% 100.57/100.96 Kept: 38308
% 100.57/100.96 Inuse: 6699
% 100.57/100.96 Deleted: 2362
% 100.57/100.96 Deletedinuse: 180
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96 Done
% 100.57/100.96
% 100.57/100.96 Resimplifying inuse:
% 100.57/100.96
% 100.57/100.96 Bliksems!, er is een bewijs:
% 100.57/100.96 % SZS status Unsatisfiable
% 100.57/100.96 % SZS output start Refutation
% 100.57/100.96
% 100.57/100.96 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.57/100.96 , Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.57/100.96 X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.57/100.96 ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.57/100.96 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.57/100.96 ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.57/100.96 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.57/100.96 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.57/100.96 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 18, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 100.57/100.96 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.57/100.96 ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.57/100.96 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.57/100.96 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.57/100.96 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.57/100.96 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.57/100.96 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.57/100.96 ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.57/100.96 Y ), X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.57/100.96 ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.57/100.96 ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.57/100.96 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X, Y
% 100.57/100.96 ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 196, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.57/100.96 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ), X ), X ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 536, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.57/100.96 X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.57/100.96 , identity ), Y ), Y ), Y ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 573, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.57/100.96 X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.57/100.96 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.57/100.96 )
% 100.57/100.96 .
% 100.57/100.96 clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.96 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.57/100.96 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.96 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.57/100.96 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.57/100.96 inverse( X ) ) ), X ), X ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.57/100.96 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.57/100.96 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 100.57/100.96 .
% 100.57/100.96 clause( 39727, [] )
% 100.57/100.96 .
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 % SZS output end Refutation
% 100.57/100.96 found a proof!
% 100.57/100.96
% 100.57/100.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.57/100.96
% 100.57/100.96 initialclauses(
% 100.57/100.96 [ clause( 39729, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , clause( 39730, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 , clause( 39731, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.57/100.96 multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39732, [ =( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ] )
% 100.57/100.96 , clause( 39733, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.57/100.96 X ) ) ] )
% 100.57/100.96 , clause( 39734, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.57/100.96 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 39735, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.57/100.96 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39736, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 100.57/100.96 , clause( 39737, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 100.57/100.96 , clause( 39738, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , clause( 39739, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , clause( 39740, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 39741, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 39742, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39743, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39744, [ =( inverse( identity ), identity ) ] )
% 100.57/100.96 , clause( 39745, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , clause( 39746, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.57/100.96 inverse( X ) ) ) ] )
% 100.57/100.96 , clause( 39747, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.96 , multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 ] ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , clause( 39729, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 , clause( 39730, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39753, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 100.57/100.96 , Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39731, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.57/100.96 multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.57/100.96 , Z ) ) ] )
% 100.57/100.96 , clause( 39753, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 100.57/100.96 X, Y ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.57/100.96 X ) ) ] )
% 100.57/100.96 , clause( 39732, [ =( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 39733, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.57/100.96 X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.57/100.96 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39734, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.57/100.96 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39735, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.57/100.96 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.57/100.96 ) ] )
% 100.57/100.96 , clause( 39738, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39739, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39795, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.57/100.96 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39740, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.57/100.96 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39795, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 100.57/100.96 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39806, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 100.57/100.96 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39741, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.57/100.96 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 39806, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 100.57/100.96 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39818, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39742, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.57/100.96 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39818, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 100.57/100.96 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39831, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 100.57/100.96 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39743, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , clause( 39831, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 100.57/100.96 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , clause( 39745, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39862, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 39746, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.57/100.96 inverse( X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , clause( 39862, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39879, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 100.57/100.96 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 39747, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.96 , multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, substitution( 0, [] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 18, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 100.57/100.96 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 39879, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 100.57/100.96 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39881, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.57/100.96 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39882, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 39881, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.57/100.96 X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39883, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , clause( 39882, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , clause( 39883, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39884, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39885, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , 0, clause( 39884, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 100.57/100.96 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 100.57/100.96 ), X ) ] )
% 100.57/100.96 , clause( 39885, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.57/100.96 X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39889, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39890, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, clause( 39889, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39893, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 100.57/100.96 ), X ) ] )
% 100.57/100.96 , clause( 39890, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 100.57/100.96 , X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39893, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39895, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.57/100.96 Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.57/100.96 ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39898, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 100.57/100.96 , identity ) ) ] )
% 100.57/100.96 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 39895, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.57/100.96 multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 , clause( 39898, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 100.57/100.96 X, identity ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39903, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.57/100.96 Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.57/100.96 ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39908, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , 0, clause( 39903, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.57/100.96 multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, identity ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 39908, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 100.57/100.96 Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39914, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39917, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, clause( 39914, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.57/100.96 Y, X ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39918, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.57/100.96 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , clause( 39917, [ =( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.57/100.96 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , clause( 39918, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.57/100.96 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39920, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39923, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, clause( 39920, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39924, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ] )
% 100.57/100.96 , clause( 39923, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ] )
% 100.57/100.96 , clause( 39924, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 100.57/100.96 , 'least_upper_bound'( X, Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39925, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39926, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , 0, clause( 39925, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39929, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 100.57/100.96 ), X ) ] )
% 100.57/100.96 , clause( 39926, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39929, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.57/100.96 ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39930, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39931, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, clause( 39930, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.57/100.96 X, Y ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 100.57/100.96 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39934, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.57/100.96 ), X ) ] )
% 100.57/100.96 , clause( 39931, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39934, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39935, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39936, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, clause( 39935, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.57/100.96 Y, X ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 100.57/100.96 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39939, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 100.57/100.96 ), X ) ] )
% 100.57/100.96 , clause( 39936, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.57/100.96 X ) ] )
% 100.57/100.96 , clause( 39939, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.57/100.96 X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39941, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.57/100.96 , Y ) ) ] )
% 100.57/100.96 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39942, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.57/100.96 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, clause( 39941, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.57/100.96 , Y ), Y ) ) ] )
% 100.57/100.96 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39943, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , clause( 39942, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.57/100.96 , clause( 39943, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39944, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39947, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 39944, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 100.57/100.96 ), Y ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 100.57/100.96 )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , clause( 39947, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39951, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.57/100.96 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39953, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.57/100.96 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 39951, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.57/100.96 , clause( 39953, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 100.57/100.96 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39957, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.57/100.96 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39959, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.57/100.96 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.57/100.96 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.57/100.96 , 0, clause( 39957, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.57/100.96 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39962, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.57/100.96 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 39959, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.57/100.96 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.57/100.96 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 39962, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 100.57/100.96 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39965, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.57/100.96 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39966, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 100.57/100.96 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 39965, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.57/100.96 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 39966, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 100.57/100.96 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39970, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39972, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, clause( 39970, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39974, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.57/100.96 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.57/100.96 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, clause( 39972, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , clause( 39974, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.57/100.96 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39976, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.57/100.96 , identity ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39979, [ =( multiply( X, identity ), multiply( identity, inverse(
% 100.57/100.96 inverse( X ) ) ) ) ] )
% 100.57/100.96 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 39976, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 100.57/100.96 ), inverse( Y ) ) ) ] )
% 100.57/100.96 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, inverse( X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39980, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 100.57/100.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , 0, clause( 39979, [ =( multiply( X, identity ), multiply( identity,
% 100.57/100.96 inverse( inverse( X ) ) ) ) ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39981, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 39980, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , clause( 39981, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39984, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.57/100.96 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39986, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 39984, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y ), :=( Z, identity )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39988, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.57/100.96 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.57/100.96 , clause( 39986, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.57/100.96 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.57/100.96 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.57/100.96 , clause( 39988, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.57/100.96 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39990, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.57/100.96 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39992, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.57/100.96 , inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.57/100.96 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.57/100.96 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.57/100.96 , identity ) ) ] )
% 100.57/100.96 , 0, clause( 39990, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.96 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 39996, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.57/100.96 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 39992, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 100.57/100.96 , Z ), inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.57/100.96 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.57/100.96 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.57/100.96 ) ] )
% 100.57/100.96 , clause( 39996, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 100.57/100.96 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 39998, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.57/100.96 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40000, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , 0, clause( 39998, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40002, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.57/100.96 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.57/100.96 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, clause( 40000, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , clause( 40002, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.57/100.96 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40004, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.57/100.96 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40005, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 100.57/100.96 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , 0, clause( 40004, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 100.57/100.96 identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40007, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.57/100.96 , clause( 40005, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 100.57/100.96 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.57/100.96 , clause( 40007, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 100.57/100.96 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40010, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40011, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.57/100.96 inverse( X ) ) ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40010, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.57/100.96 ), inverse( Y ) ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.57/100.96 Y ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 40011, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.57/100.96 inverse( X ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40016, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40018, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.57/100.96 inverse( Y ), X ) ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40016, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.57/100.96 ), inverse( Y ) ) ) ] )
% 100.57/100.96 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.57/100.96 :=( Y, inverse( X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.57/100.96 Y ), X ) ) ] )
% 100.57/100.96 , clause( 40018, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.57/100.96 inverse( Y ), X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40022, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 100.57/100.96 inverse( Y ) ) ) ) ] )
% 100.57/100.96 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.57/100.96 inverse( Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40028, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.57/100.96 multiply( Y, identity ) ) ) ] )
% 100.57/100.96 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.57/100.96 , identity ) ) ] )
% 100.57/100.96 , 0, clause( 40022, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 100.57/100.96 , inverse( Y ) ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40029, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40028, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 100.57/100.96 inverse( multiply( Y, identity ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , clause( 40029, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.57/100.96 Y ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40031, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40036, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.57/100.96 inverse( inverse( Y ) ) ) ) ] )
% 100.57/100.96 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, clause( 40031, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.57/100.96 ) ) ) ) ] )
% 100.57/100.96 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.96 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40037, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 100.57/100.96 Y, X ) ) ) ) ] )
% 100.57/100.96 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40036, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 100.57/100.96 ), inverse( inverse( Y ) ) ) ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 100.57/100.96 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40038, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.57/100.96 inverse( Y ), X ) ) ] )
% 100.57/100.96 , 0, clause( 40037, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 100.57/100.96 multiply( Y, X ) ) ) ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40039, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40038, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.57/100.96 Y ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.57/100.96 ) ] )
% 100.57/100.96 , clause( 40039, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 100.57/100.96 X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40041, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.57/100.96 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40043, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.57/100.96 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.57/100.96 Z ) ) ) ] )
% 100.57/100.96 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, clause( 40041, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.57/100.96 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.57/100.96 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 40043, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.57/100.96 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.57/100.96 Z ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40047, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40049, [ =( multiply( 'least_upper_bound'( X, inverse( multiply( Y
% 100.57/100.96 , Z ) ) ), Y ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, clause( 40047, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Y, Z ) ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X, Y
% 100.57/100.96 ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 40049, [ =( multiply( 'least_upper_bound'( X, inverse( multiply(
% 100.57/100.96 Y, Z ) ) ), Y ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40052, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 100.57/100.96 multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 18, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 100.57/100.96 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, substitution( 0, [] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40053, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 100.57/100.96 multiply( a, inverse( 'greatest_lower_bound'( inverse( b ), a ) ) ) ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , 0, clause( 40052, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity
% 100.57/100.96 ), multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, a ), :=( Y, inverse( b ) )] ),
% 100.57/100.96 substitution( 1, [] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40056, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 100.57/100.96 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40053, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.96 , multiply( a, inverse( 'greatest_lower_bound'( inverse( b ), a ) ) ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, substitution( 0, [] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 196, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.96 , clause( 40056, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 100.57/100.96 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40057, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40060, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 100.57/100.96 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 100.57/100.96 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , 0, clause( 40057, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.57/100.96 ) ) ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40063, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.57/100.96 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, clause( 40060, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.96 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 100.57/100.96 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , clause( 40063, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40064, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40066, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 100.57/100.96 inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ] )
% 100.57/100.96 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , 0, clause( 40064, [ =( identity, multiply( X, inverse( multiply( X,
% 100.57/100.96 identity ) ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.57/100.96 'greatest_lower_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.57/100.96 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40068, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40066, [ =( identity, multiply( 'greatest_lower_bound'( Y, X )
% 100.57/100.96 , inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40069, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.57/100.96 , clause( 40068, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 , clause( 40069, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40070, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40072, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.57/100.96 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.57/100.96 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , 0, clause( 40070, [ =( identity, multiply( X, inverse( multiply( X,
% 100.57/100.96 identity ) ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.57/100.96 'least_upper_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.57/100.96 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40074, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.57/100.96 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40072, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.57/100.96 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40075, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.57/100.96 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.57/100.96 , clause( 40074, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.57/100.96 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 , clause( 40075, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.57/100.96 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40077, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.57/100.96 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.57/100.96 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40111, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.57/100.96 multiply( X, identity ) ), identity ) ) ] )
% 100.57/100.96 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.57/100.96 identity ) ] )
% 100.57/100.96 , 0, clause( 40077, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.57/100.96 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.57/100.96 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.57/100.96 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40113, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.57/100.96 ), identity ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40111, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.57/100.96 multiply( X, identity ) ), identity ) ) ] )
% 100.57/100.96 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40114, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40113, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.57/100.96 ), identity ) ) ] )
% 100.57/100.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.57/100.96 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.57/100.96 , clause( 40114, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40119, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40120, [ =( X, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.57/100.96 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.57/100.96 , 0, clause( 40119, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.57/100.96 , Y ), X ) ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40121, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ), X ), X ), X ) ] )
% 100.57/100.96 , clause( 40120, [ =( X, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ), X ), X ), X ) ] )
% 100.57/100.96 , clause( 40121, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ), X ), X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40123, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.57/100.96 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.57/100.96 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40125, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 100.57/100.96 multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, clause( 40123, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.57/100.96 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.57/100.96 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.57/100.96 1, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40126, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.96 , 0, clause( 40125, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 100.57/100.96 , multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.57/100.96 :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40127, [ =( 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.57/100.96 , clause( 40126, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 536, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.57/100.96 X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 , clause( 40127, [ =( 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40128, [ =( Y, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.57/100.96 , clause( 533, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ), X ), X ), X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40129, [ =( X, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.57/100.96 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.57/100.96 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.57/100.96 , 0, clause( 40128, [ =( Y, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 100.57/100.96 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40132, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 Y, identity ), X ), X ), X ) ] )
% 100.57/100.96 , clause( 40129, [ =( X, 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.57/100.96 , identity ), Y ), Y ), Y ) ] )
% 100.57/100.96 , clause( 40132, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 Y, identity ), X ), X ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40134, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40136, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 X, identity ), Y ), Y ), 'least_upper_bound'( Y, multiply(
% 100.57/100.96 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 X, identity ), Y ), Y ), Y ) ] )
% 100.57/100.96 , 0, clause( 40134, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.57/100.96 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.57/100.96 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, multiply( 'greatest_lower_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40137, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.57/100.96 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , clause( 548, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.57/100.96 X, identity ), Y ), Y ), Y ) ] )
% 100.57/100.96 , 0, clause( 40136, [ =( 'least_upper_bound'( multiply(
% 100.57/100.96 'greatest_lower_bound'( X, identity ), Y ), Y ), 'least_upper_bound'( Y,
% 100.57/100.96 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40139, [ =( 'least_upper_bound'( X, multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.57/100.96 , clause( 40137, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.57/100.96 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 573, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.57/100.96 X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 , clause( 40139, [ =( 'least_upper_bound'( X, multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40142, [ =( X, 'least_upper_bound'( X, multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , clause( 573, [ =( 'least_upper_bound'( Y, multiply(
% 100.57/100.96 'greatest_lower_bound'( X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40143, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 , clause( 220, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 40142, [ =( X, 'least_upper_bound'( X, multiply(
% 100.57/100.96 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.57/100.96 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 100.57/100.96 ) ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40144, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 40143, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , clause( 40144, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.57/100.96 ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40146, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , clause( 536, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.57/100.96 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40147, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.57/100.96 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 , clause( 246, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.57/100.96 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.57/100.96 , 0, clause( 40146, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.57/100.96 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.57/100.96 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.57/100.96 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 100.57/100.96 , :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40148, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40147, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.57/100.96 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.57/100.96 identity ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40148, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40151, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 100.57/100.96 Y, identity ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.57/100.96 :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.57/100.96 , clause( 40151, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40154, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.57/100.96 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40156, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 100.57/100.96 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.57/100.96 , 0, clause( 40154, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.57/100.96 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.57/100.96 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.57/100.96 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , clause( 40156, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 100.57/100.96 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 100.57/100.96 ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.57/100.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40159, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.57/100.96 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.57/100.96 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.57/100.96 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40160, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40161, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.57/100.96 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 40159, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.57/100.96 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40160, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 100.57/100.96 )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40162, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.96 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40161, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 100.57/100.96 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.96 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 40162, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.96 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40164, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40166, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.57/100.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , clause( 531, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.57/100.96 , 0, clause( 40164, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.57/100.96 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40167, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40166, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.57/100.96 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40168, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 , clause( 40167, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 , clause( 40168, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.57/100.96 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40170, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 100.57/100.96 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 100.57/100.96 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.57/100.96 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.57/100.96 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40173, [ =( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , clause( 601, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, clause( 40170, [ =( 'greatest_lower_bound'( Y, Z ),
% 100.57/100.96 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.57/100.96 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.57/100.96 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.57/100.96 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40178, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.57/100.96 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.96 , clause( 40173, [ =( 'greatest_lower_bound'( identity, X ),
% 100.57/100.96 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.96 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.57/100.96 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.57/100.96 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.57/100.96 , clause( 40178, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.57/100.96 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.57/100.96 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40180, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40183, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.57/100.96 multiply( inverse( 'greatest_lower_bound'( identity, multiply( X, Y ) ) )
% 100.57/100.96 , X ) ) ] )
% 100.57/100.96 , clause( 102, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 100.57/100.96 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40180, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, 'greatest_lower_bound'( inverse( X ), Y ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40184, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.96 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , Y ) ) ) ] )
% 100.57/100.96 , clause( 40183, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.57/100.96 , multiply( inverse( 'greatest_lower_bound'( identity, multiply( X, Y ) )
% 100.57/100.96 ), X ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.96 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , Y ) ) ) ] )
% 100.57/100.96 , clause( 40184, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.96 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , Y ) ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40186, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.57/100.96 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.57/100.96 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.57/100.96 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40191, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 100.57/100.96 , X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.57/100.96 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40186, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 100.57/100.96 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.57/100.96 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.57/100.96 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), :=( Y,
% 100.57/100.96 'greatest_lower_bound'( identity, X ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40192, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ) ) ) ] )
% 100.57/100.96 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.57/100.96 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.57/100.96 , 0, clause( 40191, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 X ), identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.57/100.96 identity, X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.57/100.96 1, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40193, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , clause( 2151, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.57/100.96 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40192, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.57/100.96 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.96 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.96 , identity ) ) ) ) ] )
% 100.57/100.96 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.96 ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40194, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.57/100.96 , clause( 40193, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.57/100.96 , clause( 40194, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40195, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , clause( 3199, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40196, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.57/100.96 , clause( 212, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.57/100.96 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40195, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.57/100.96 substitution( 1, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40202, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , clause( 40196, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , clause( 40202, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40206, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.57/100.96 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.57/100.96 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.57/100.96 ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40211, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.57/100.96 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.57/100.96 , clause( 3228, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40206, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 100.57/100.96 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 100.57/100.96 Y ) ) ) ] )
% 100.57/100.96 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 100.57/100.96 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 100.57/100.96 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40212, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.57/100.96 inverse( Y ) ) ), X ) ] )
% 100.57/100.96 , clause( 1008, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.57/100.96 , 0, clause( 40211, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.57/100.96 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.57/100.96 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.96 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40213, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.57/100.96 ) ] )
% 100.57/100.96 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.57/100.96 multiply( X, Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40212, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.57/100.96 inverse( Y ) ) ), X ) ] )
% 100.57/100.96 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 100.57/100.96 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 100.57/100.96 ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.57/100.96 ] )
% 100.57/100.96 , clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 100.57/100.96 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 100.57/100.96 Y ) ) ) ] )
% 100.57/100.96 , 0, clause( 40213, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.57/100.96 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.57/100.96 ) ] )
% 100.57/100.96 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.57/100.96 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40215, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.57/100.96 , 0, clause( 40214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.57/100.96 ] )
% 100.57/100.96 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.96 :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , clause( 40215, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40218, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.57/100.96 , clause( 4730, [ =( 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40219, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.57/100.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.96 , 0, clause( 40218, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.57/100.96 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.57/100.96 X ) ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40220, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.96 , clause( 40219, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.57/100.96 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 subsumption(
% 100.57/100.96 clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.96 , clause( 40220, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.96 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.96 )] ) ).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 eqswap(
% 100.57/100.96 clause( 40222, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.57/100.96 , Y ) ) ] )
% 100.57/100.96 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.57/100.96 , X ) ] )
% 100.57/100.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.96
% 100.57/100.96
% 100.57/100.96 paramod(
% 100.57/100.96 clause( 40223, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.96 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.57/100.97 ) ) ) ) ] )
% 100.57/100.97 , clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.97 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.97 , 0, clause( 40222, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.57/100.97 , Y ), Y ) ) ] )
% 100.57/100.97 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.97 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40224, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.57/100.97 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , clause( 40223, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.97 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.57/100.97 ) ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.57/100.97 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , clause( 40224, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.57/100.97 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40226, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.57/100.97 , X ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40227, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.57/100.97 Y ) ) ) ] )
% 100.57/100.97 , clause( 4773, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.57/100.97 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.57/100.97 , 0, clause( 40226, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.57/100.97 Y, X ) ) ) ] )
% 100.57/100.97 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.97 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40228, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 100.57/100.97 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.57/100.97 , clause( 40227, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.57/100.97 Y ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.57/100.97 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.57/100.97 , clause( 40228, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40230, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.57/100.97 ) ) ) ) ] )
% 100.57/100.97 , clause( 4858, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.57/100.97 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40234, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.57/100.97 Y, X ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ),
% 100.57/100.97 inverse( X ) ) ) ] )
% 100.57/100.97 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.57/100.97 , X ) ] )
% 100.57/100.97 , 0, clause( 40230, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.57/100.97 ) ) ) ) ] )
% 100.57/100.97 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.97 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40235, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.57/100.97 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.57/100.97 , X ) ] )
% 100.57/100.97 , 0, clause( 40234, [ =( inverse( 'greatest_lower_bound'( X,
% 100.57/100.97 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.57/100.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.97 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40237, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.57/100.97 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.57/100.97 , clause( 40235, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.57/100.97 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.57/100.97 , clause( 40237, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.57/100.97 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40240, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.57/100.97 , clause( 5288, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.57/100.97 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40242, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.57/100.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.97 , 0, clause( 40240, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.57/100.97 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.57/100.97 :=( Y, inverse( X ) )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40243, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.57/100.97 , inverse( X ) ) ), X ) ) ] )
% 100.57/100.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.97 , 0, clause( 40242, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.57/100.97 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.57/100.97 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.97 :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40245, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.57/100.97 inverse( X ) ) ), X ), X ) ] )
% 100.57/100.97 , clause( 40243, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 Y, inverse( X ) ) ), X ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.57/100.97 inverse( X ) ) ), X ), X ) ] )
% 100.57/100.97 , clause( 40245, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.57/100.97 , inverse( X ) ) ), X ), X ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40248, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.57/100.97 , X ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40249, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.57/100.97 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.57/100.97 , Y ) ) ] )
% 100.57/100.97 , clause( 5303, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.57/100.97 inverse( X ) ) ), X ), X ) ] )
% 100.57/100.97 , 0, clause( 40248, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.57/100.97 X, Y ) ) ) ] )
% 100.57/100.97 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.57/100.97 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40250, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.57/100.97 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , clause( 40249, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.57/100.97 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.57/100.97 , Y ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.57/100.97 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , clause( 40250, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40252, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.57/100.97 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.57/100.97 , clause( 2568, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.57/100.97 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.57/100.97 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40253, [ =( 'greatest_lower_bound'( identity, X ),
% 100.57/100.97 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.57/100.97 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , clause( 5332, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , 0, clause( 40252, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.57/100.97 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.57/100.97 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.57/100.97 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40254, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.97 , clause( 40253, [ =( 'greatest_lower_bound'( identity, X ),
% 100.57/100.97 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.57/100.97 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.97 , clause( 40254, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40256, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.57/100.97 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.57/100.97 ] )
% 100.57/100.97 , clause( 1705, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.97 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40263, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.97 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.57/100.97 , clause( 38716, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ] )
% 100.57/100.97 , 0, clause( 40256, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 100.57/100.97 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 100.57/100.97 , Y ) ) ) ) ] )
% 100.57/100.97 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.57/100.97 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 100.57/100.97 'greatest_lower_bound'( identity, X ) )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40264, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.57/100.97 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.57/100.97 , clause( 1010, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.57/100.97 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , 0, clause( 40263, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.57/100.97 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.57/100.97 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 100.57/100.97 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 100.57/100.97 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40265, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.57/100.97 X ) ) ) ) ) ) ] )
% 100.57/100.97 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.97 , 0, clause( 40264, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.57/100.97 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.57/100.97 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.57/100.97 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40267, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.57/100.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.97 , 0, clause( 40265, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.57/100.97 X ) ) ) ) ) ) ] )
% 100.57/100.97 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 100.57/100.97 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40268, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.57/100.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.57/100.97 , 0, clause( 40267, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.57/100.97 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.57/100.97 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 100.57/100.97 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40273, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.57/100.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.57/100.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.57/100.97 , 0, clause( 40268, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.57/100.97 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.57/100.97 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 100.57/100.97 , [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40274, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 inverse( X ) ) ) ] )
% 100.57/100.97 , clause( 582, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.57/100.97 ) ) ) ] )
% 100.57/100.97 , 0, clause( 40273, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.57/100.97 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40275, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , clause( 4859, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.57/100.97 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , 0, clause( 40274, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.57/100.97 inverse( X ) ) ) ] )
% 100.57/100.97 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.57/100.97 1, [ :=( X, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , clause( 40275, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40278, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ),
% 100.57/100.97 multiply( 'least_upper_bound'( X, inverse( multiply( Y, Z ) ) ), Y ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , clause( 192, [ =( multiply( 'least_upper_bound'( Z, inverse( multiply( X
% 100.57/100.97 , Y ) ) ), X ), 'least_upper_bound'( multiply( Z, X ), inverse( Y ) ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40281, [ =( 'least_upper_bound'( multiply( identity, X ), inverse(
% 100.57/100.97 Y ) ), multiply( inverse( 'greatest_lower_bound'( identity, multiply( X,
% 100.57/100.97 Y ) ) ), X ) ) ] )
% 100.57/100.97 , clause( 38735, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.57/100.97 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.57/100.97 , 0, clause( 40278, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 100.57/100.97 ) ), multiply( 'least_upper_bound'( X, inverse( multiply( Y, Z ) ) ), Y
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 100.57/100.97 :=( X, identity ), :=( Y, X ), :=( Z, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40282, [ =( 'least_upper_bound'( multiply( identity, X ), inverse(
% 100.57/100.97 Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 100.57/100.97 , clause( 2855, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.97 multiply( X, Y ) ) ), X ), inverse( 'greatest_lower_bound'( inverse( X )
% 100.57/100.97 , Y ) ) ) ] )
% 100.57/100.97 , 0, clause( 40281, [ =( 'least_upper_bound'( multiply( identity, X ),
% 100.57/100.97 inverse( Y ) ), multiply( inverse( 'greatest_lower_bound'( identity,
% 100.57/100.97 multiply( X, Y ) ) ), X ) ) ] )
% 100.57/100.97 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.57/100.97 :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40283, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 100.57/100.97 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.57/100.97 , 0, clause( 40282, [ =( 'least_upper_bound'( multiply( identity, X ),
% 100.57/100.97 inverse( Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ]
% 100.57/100.97 )
% 100.57/100.97 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.57/100.97 :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqswap(
% 100.57/100.97 clause( 40284, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.57/100.97 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 100.57/100.97 , clause( 40283, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 100.57/100.97 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 100.57/100.97 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 100.57/100.97 , clause( 40284, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.57/100.97 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 100.57/100.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.57/100.97 )] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40288, [ ~( =( multiply( a, 'least_upper_bound'( b, inverse( a ) )
% 100.57/100.97 ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.97 , clause( 38858, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 100.57/100.97 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 100.57/100.97 , 0, clause( 196, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 100.57/100.97 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.97 ) ) ] )
% 100.57/100.97 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 paramod(
% 100.57/100.97 clause( 40289, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 100.57/100.97 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.97 , clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 100.57/100.97 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 100.57/100.97 , 0, clause( 40288, [ ~( =( multiply( a, 'least_upper_bound'( b, inverse( a
% 100.57/100.97 ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.97 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 100.57/100.97 ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 eqrefl(
% 100.57/100.97 clause( 40290, [] )
% 100.57/100.97 , clause( 40289, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 100.57/100.97 , 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 100.57/100.97 , 0, substitution( 0, [] )).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 subsumption(
% 100.57/100.97 clause( 39727, [] )
% 100.57/100.97 , clause( 40290, [] )
% 100.57/100.97 , substitution( 0, [] ), permutation( 0, [] ) ).
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 end.
% 100.57/100.97
% 100.57/100.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.57/100.97
% 100.57/100.97 Memory use:
% 100.57/100.97
% 100.57/100.97 space for terms: 571242
% 100.57/100.97 space for clauses: 4158561
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 clauses generated: 28076338
% 100.57/100.97 clauses kept: 39728
% 100.57/100.97 clauses selected: 6918
% 100.57/100.97 clauses deleted: 3943
% 100.57/100.97 clauses inuse deleted: 1760
% 100.57/100.97
% 100.57/100.97 subsentry: 1197033
% 100.57/100.97 literals s-matched: 1195779
% 100.57/100.97 literals matched: 1195727
% 100.57/100.97 full subsumption: 0
% 100.57/100.97
% 100.57/100.97 checksum: -1213676423
% 100.57/100.97
% 100.57/100.97
% 100.57/100.97 Bliksem ended
%------------------------------------------------------------------------------