TSTP Solution File: GRP181-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP181-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:35:53 EDT 2022
% Result : Unsatisfiable 226.60s 226.96s
% Output : Refutation 226.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP181-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 : Tue Jun 14 07:38:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 38.38/38.79 *** allocated 10000 integers for termspace/termends
% 38.38/38.79 *** allocated 10000 integers for clauses
% 38.38/38.79 *** allocated 10000 integers for justifications
% 38.38/38.79 Bliksem 1.12
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Automatic Strategy Selection
% 38.38/38.79
% 38.38/38.79 Clauses:
% 38.38/38.79 [
% 38.38/38.79 [ =( multiply( identity, X ), X ) ],
% 38.38/38.79 [ =( multiply( inverse( X ), X ), identity ) ],
% 38.38/38.79 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 38.38/38.79 ],
% 38.38/38.79 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 38.38/38.79 ,
% 38.38/38.79 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 38.38/38.79 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 38.38/38.79 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 38.38/38.79 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 38.38/38.79 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 38.38/38.79 [ =( 'least_upper_bound'( X, X ), X ) ],
% 38.38/38.79 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 38.38/38.79 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 38.38/38.79 ,
% 38.38/38.79 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 38.38/38.79 ,
% 38.38/38.79 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 38.38/38.79 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 38.38/38.79 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 38.38/38.79 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 38.38/38.79 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 38.38/38.79 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 38.38/38.79 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 38.38/38.79 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 38.38/38.79 [ =( inverse( identity ), identity ) ],
% 38.38/38.79 [ =( inverse( inverse( X ) ), X ) ],
% 38.38/38.79 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 38.38/38.79 ) ],
% 38.38/38.79 [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( b, c ) ) ]
% 38.38/38.79 ,
% 38.38/38.79 [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c ) ) ],
% 38.38/38.79 [ ~( =( a, b ) ) ]
% 38.38/38.79 ] .
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 percentage equality = 1.000000, percentage horn = 1.000000
% 38.38/38.79 This is a pure equality problem
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Options Used:
% 38.38/38.79
% 38.38/38.79 useres = 1
% 38.38/38.79 useparamod = 1
% 38.38/38.79 useeqrefl = 1
% 38.38/38.79 useeqfact = 1
% 38.38/38.79 usefactor = 1
% 38.38/38.79 usesimpsplitting = 0
% 38.38/38.79 usesimpdemod = 5
% 38.38/38.79 usesimpres = 3
% 38.38/38.79
% 38.38/38.79 resimpinuse = 1000
% 38.38/38.79 resimpclauses = 20000
% 38.38/38.79 substype = eqrewr
% 38.38/38.79 backwardsubs = 1
% 38.38/38.79 selectoldest = 5
% 38.38/38.79
% 38.38/38.79 litorderings [0] = split
% 38.38/38.79 litorderings [1] = extend the termordering, first sorting on arguments
% 38.38/38.79
% 38.38/38.79 termordering = kbo
% 38.38/38.79
% 38.38/38.79 litapriori = 0
% 38.38/38.79 termapriori = 1
% 38.38/38.79 litaposteriori = 0
% 38.38/38.79 termaposteriori = 0
% 38.38/38.79 demodaposteriori = 0
% 38.38/38.79 ordereqreflfact = 0
% 38.38/38.79
% 38.38/38.79 litselect = negord
% 38.38/38.79
% 38.38/38.79 maxweight = 15
% 38.38/38.79 maxdepth = 30000
% 38.38/38.79 maxlength = 115
% 38.38/38.79 maxnrvars = 195
% 38.38/38.79 excuselevel = 1
% 38.38/38.79 increasemaxweight = 1
% 38.38/38.79
% 38.38/38.79 maxselected = 10000000
% 38.38/38.79 maxnrclauses = 10000000
% 38.38/38.79
% 38.38/38.79 showgenerated = 0
% 38.38/38.79 showkept = 0
% 38.38/38.79 showselected = 0
% 38.38/38.79 showdeleted = 0
% 38.38/38.79 showresimp = 1
% 38.38/38.79 showstatus = 2000
% 38.38/38.79
% 38.38/38.79 prologoutput = 1
% 38.38/38.79 nrgoals = 5000000
% 38.38/38.79 totalproof = 1
% 38.38/38.79
% 38.38/38.79 Symbols occurring in the translation:
% 38.38/38.79
% 38.38/38.79 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 38.38/38.79 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 38.38/38.79 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 38.38/38.79 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.38/38.79 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.38/38.79 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 38.38/38.79 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 38.38/38.79 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 38.38/38.79 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 38.38/38.79 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 38.38/38.79 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 38.38/38.79 c [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 38.38/38.79 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Starting Search:
% 38.38/38.79
% 38.38/38.79 Resimplifying inuse:
% 38.38/38.79 Done
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Intermediate Status:
% 38.38/38.79 Generated: 21242
% 38.38/38.79 Kept: 2003
% 38.38/38.79 Inuse: 198
% 38.38/38.79 Deleted: 21
% 38.38/38.79 Deletedinuse: 7
% 38.38/38.79
% 38.38/38.79 Resimplifying inuse:
% 38.38/38.79 Done
% 38.38/38.79
% 38.38/38.79 Resimplifying inuse:
% 38.38/38.79 Done
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Intermediate Status:
% 38.38/38.79 Generated: 59281
% 38.38/38.79 Kept: 4007
% 38.38/38.79 Inuse: 370
% 38.38/38.79 Deleted: 37
% 38.38/38.79 Deletedinuse: 7
% 38.38/38.79
% 38.38/38.79 Resimplifying inuse:
% 38.38/38.79 Done
% 38.38/38.79
% 38.38/38.79 Resimplifying inuse:
% 38.38/38.79 Done
% 38.38/38.79
% 38.38/38.79
% 38.38/38.79 Intermediate Status:
% 38.38/38.79 Generated: 122864
% 38.38/38.79 Kept: 6019
% 38.38/38.79 Inuse: 555
% 38.38/38.79 Deleted: 55
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 185384
% 226.56/226.96 Kept: 8035
% 226.56/226.96 Inuse: 729
% 226.56/226.96 Deleted: 62
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 304624
% 226.56/226.96 Kept: 10047
% 226.56/226.96 Inuse: 918
% 226.56/226.96 Deleted: 83
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 386055
% 226.56/226.96 Kept: 12050
% 226.56/226.96 Inuse: 1005
% 226.56/226.96 Deleted: 85
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 603533
% 226.56/226.96 Kept: 14062
% 226.56/226.96 Inuse: 1210
% 226.56/226.96 Deleted: 119
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 931814
% 226.56/226.96 Kept: 16066
% 226.56/226.96 Inuse: 1536
% 226.56/226.96 Deleted: 125
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 1541364
% 226.56/226.96 Kept: 18076
% 226.56/226.96 Inuse: 1919
% 226.56/226.96 Deleted: 148
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying clauses:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 1949068
% 226.56/226.96 Kept: 20103
% 226.56/226.96 Inuse: 2214
% 226.56/226.96 Deleted: 827
% 226.56/226.96 Deletedinuse: 7
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 2406880
% 226.56/226.96 Kept: 22103
% 226.56/226.96 Inuse: 2514
% 226.56/226.96 Deleted: 856
% 226.56/226.96 Deletedinuse: 9
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 3621825
% 226.56/226.96 Kept: 24122
% 226.56/226.96 Inuse: 2894
% 226.56/226.96 Deleted: 870
% 226.56/226.96 Deletedinuse: 11
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 4330339
% 226.56/226.96 Kept: 26122
% 226.56/226.96 Inuse: 3254
% 226.56/226.96 Deleted: 871
% 226.56/226.96 Deletedinuse: 11
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 4583012
% 226.56/226.96 Kept: 28156
% 226.56/226.96 Inuse: 3391
% 226.56/226.96 Deleted: 887
% 226.56/226.96 Deletedinuse: 27
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5075318
% 226.56/226.96 Kept: 30159
% 226.56/226.96 Inuse: 3637
% 226.56/226.96 Deleted: 904
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5286563
% 226.56/226.96 Kept: 32221
% 226.56/226.96 Inuse: 3720
% 226.56/226.96 Deleted: 913
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5351891
% 226.56/226.96 Kept: 34394
% 226.56/226.96 Inuse: 3747
% 226.56/226.96 Deleted: 916
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5454657
% 226.56/226.96 Kept: 36429
% 226.56/226.96 Inuse: 3783
% 226.56/226.96 Deleted: 918
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5577757
% 226.56/226.96 Kept: 38453
% 226.56/226.96 Inuse: 3833
% 226.56/226.96 Deleted: 918
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying clauses:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5704531
% 226.56/226.96 Kept: 40453
% 226.56/226.96 Inuse: 3885
% 226.56/226.96 Deleted: 2423
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 5897180
% 226.56/226.96 Kept: 42519
% 226.56/226.96 Inuse: 3934
% 226.56/226.96 Deleted: 2423
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 6195543
% 226.56/226.96 Kept: 44571
% 226.56/226.96 Inuse: 4060
% 226.56/226.96 Deleted: 2426
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 6386685
% 226.56/226.96 Kept: 46586
% 226.56/226.96 Inuse: 4111
% 226.56/226.96 Deleted: 2426
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 7007184
% 226.56/226.96 Kept: 48610
% 226.56/226.96 Inuse: 4257
% 226.56/226.96 Deleted: 2426
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 7481732
% 226.56/226.96 Kept: 50628
% 226.56/226.96 Inuse: 4346
% 226.56/226.96 Deleted: 2426
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 8256315
% 226.56/226.96 Kept: 52641
% 226.56/226.96 Inuse: 4566
% 226.56/226.96 Deleted: 2428
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 8963230
% 226.56/226.96 Kept: 54661
% 226.56/226.96 Inuse: 4788
% 226.56/226.96 Deleted: 2428
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 9954166
% 226.56/226.96 Kept: 56670
% 226.56/226.96 Inuse: 5023
% 226.56/226.96 Deleted: 2428
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 10234913
% 226.56/226.96 Kept: 58681
% 226.56/226.96 Inuse: 5150
% 226.56/226.96 Deleted: 2428
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying clauses:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 10747506
% 226.56/226.96 Kept: 60699
% 226.56/226.96 Inuse: 5332
% 226.56/226.96 Deleted: 3226
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 11829637
% 226.56/226.96 Kept: 62734
% 226.56/226.96 Inuse: 5712
% 226.56/226.96 Deleted: 3226
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.56/226.96
% 226.56/226.96
% 226.56/226.96 Intermediate Status:
% 226.56/226.96 Generated: 13101412
% 226.56/226.96 Kept: 64744
% 226.56/226.96 Inuse: 5954
% 226.56/226.96 Deleted: 3229
% 226.56/226.96 Deletedinuse: 43
% 226.56/226.96
% 226.56/226.96 Resimplifying inuse:
% 226.56/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 13965890
% 226.60/226.96 Kept: 66753
% 226.60/226.96 Inuse: 6242
% 226.60/226.96 Deleted: 3242
% 226.60/226.96 Deletedinuse: 43
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 14682748
% 226.60/226.96 Kept: 68891
% 226.60/226.96 Inuse: 6490
% 226.60/226.96 Deleted: 3310
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 15319778
% 226.60/226.96 Kept: 70901
% 226.60/226.96 Inuse: 6726
% 226.60/226.96 Deleted: 3313
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 16061528
% 226.60/226.96 Kept: 72902
% 226.60/226.96 Inuse: 6998
% 226.60/226.96 Deleted: 3313
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 18977512
% 226.60/226.96 Kept: 74908
% 226.60/226.96 Inuse: 7588
% 226.60/226.96 Deleted: 3316
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 21494727
% 226.60/226.96 Kept: 76908
% 226.60/226.96 Inuse: 7980
% 226.60/226.96 Deleted: 3327
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 24492840
% 226.60/226.96 Kept: 78915
% 226.60/226.96 Inuse: 8689
% 226.60/226.96 Deleted: 3356
% 226.60/226.96 Deletedinuse: 97
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying clauses:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 25409975
% 226.60/226.96 Kept: 80929
% 226.60/226.96 Inuse: 8999
% 226.60/226.96 Deleted: 5794
% 226.60/226.96 Deletedinuse: 133
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 26878283
% 226.60/226.96 Kept: 82929
% 226.60/226.96 Inuse: 9378
% 226.60/226.96 Deleted: 5794
% 226.60/226.96 Deletedinuse: 133
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 29417496
% 226.60/226.96 Kept: 84952
% 226.60/226.96 Inuse: 9981
% 226.60/226.96 Deleted: 5794
% 226.60/226.96 Deletedinuse: 133
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 35746327
% 226.60/226.96 Kept: 86967
% 226.60/226.96 Inuse: 10833
% 226.60/226.96 Deleted: 5814
% 226.60/226.96 Deletedinuse: 135
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 39019719
% 226.60/226.96 Kept: 88967
% 226.60/226.96 Inuse: 11473
% 226.60/226.96 Deleted: 5835
% 226.60/226.96 Deletedinuse: 135
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 41113768
% 226.60/226.96 Kept: 90972
% 226.60/226.96 Inuse: 11981
% 226.60/226.96 Deleted: 5835
% 226.60/226.96 Deletedinuse: 135
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 45122520
% 226.60/226.96 Kept: 92990
% 226.60/226.96 Inuse: 12739
% 226.60/226.96 Deleted: 5885
% 226.60/226.96 Deletedinuse: 164
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 47711850
% 226.60/226.96 Kept: 94999
% 226.60/226.96 Inuse: 13151
% 226.60/226.96 Deleted: 5896
% 226.60/226.96 Deletedinuse: 164
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 52687874
% 226.60/226.96 Kept: 97024
% 226.60/226.96 Inuse: 13555
% 226.60/226.96 Deleted: 8524
% 226.60/226.96 Deletedinuse: 2791
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96 Resimplifying inuse:
% 226.60/226.96 Done
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Intermediate Status:
% 226.60/226.96 Generated: 53281336
% 226.60/226.96 Kept: 99028
% 226.60/226.96 Inuse: 13681
% 226.60/226.96 Deleted: 10432
% 226.60/226.96 Deletedinuse: 4684
% 226.60/226.96
% 226.60/226.96
% 226.60/226.96 Bliksems!, er is een bewijs:
% 226.60/226.96 % SZS status Unsatisfiable
% 226.60/226.96 % SZS output start Refutation
% 226.60/226.97
% 226.60/226.97 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 226.60/226.97 , Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 226.60/226.97 ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 226.60/226.97 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 226.60/226.97 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 226.60/226.97 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 15, [ =( inverse( identity ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 226.60/226.97 , c ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 226.60/226.97 ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 20, [ ~( =( b, a ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 26, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b ) )
% 226.60/226.97 ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 27, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a ) )
% 226.60/226.97 ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 28, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( c
% 226.60/226.97 , b ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 226.60/226.97 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 35, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'( c
% 226.60/226.97 , a ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 37, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 46, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 52, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 53, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 226.60/226.97 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 63, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 76, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 78, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 226.60/226.97 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 79, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 226.60/226.97 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 80, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 226.60/226.97 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 81, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 83, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 101, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 102, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 226.60/226.97 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.97 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 104, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 116, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 117, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 226.60/226.97 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 118, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.97 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 .
% 226.60/226.97 clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 226.60/226.97 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 143, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 144, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 226.60/226.97 Y ), X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 145, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 148, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 226.60/226.97 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 155, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 226.60/226.97 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 157, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 226.60/226.97 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 .
% 226.60/226.97 clause( 201, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 205, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 239, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 226.60/226.97 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 394, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 414, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), X ), 'least_upper_bound'( X, Y ) ) ]
% 226.60/226.97 )
% 226.60/226.97 .
% 226.60/226.97 clause( 455, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 456, [ =( multiply( inverse( multiply( 'greatest_lower_bound'( Y, X
% 226.60/226.97 ), Z ) ), 'greatest_lower_bound'( X, Y ) ), inverse( Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 491, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 507, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 659, [ =( 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 660, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 226.60/226.97 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 733, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1134, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 226.60/226.97 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1142, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1320, [ =( multiply( 'least_upper_bound'( identity, multiply( X, Y
% 226.60/226.97 ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1321, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1322, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1357, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 226.60/226.97 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1360, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Z, Y ) ), identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1598, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1645, [ =( 'least_upper_bound'( multiply( inverse(
% 226.60/226.97 'least_upper_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1705, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 226.60/226.97 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1706, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 226.60/226.97 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1718, [ =( 'greatest_lower_bound'( identity, inverse(
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1807, [ =( 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 1824, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, identity )
% 226.60/226.97 , inverse( 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 226.60/226.97 Y, inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 2549, [ =( multiply( 'least_upper_bound'( c, a ), inverse( c ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( b, inverse( c ) ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 2690, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 226.60/226.97 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 2773, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 226.60/226.97 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 3265, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, X ) )
% 226.60/226.97 , inverse( multiply( Y, X ) ) ), 'greatest_lower_bound'( inverse( Y ),
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4545, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.97 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4577, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.97 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4585, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.97 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4606, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.97 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4633, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4677, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4682, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4707, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4714, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.97 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4736, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 226.60/226.97 , inverse( X ) ) ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4737, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 inverse( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ), Z )
% 226.60/226.97 ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4759, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( Y
% 226.60/226.97 , inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 4999, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 226.60/226.97 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 226.60/226.97 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 15663, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 226.60/226.97 multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X ) ), X ) ]
% 226.60/226.97 )
% 226.60/226.97 .
% 226.60/226.97 clause( 22307, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.97 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 226.60/226.97 ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 22308, [ =( 'least_upper_bound'( identity, multiply( b, inverse( c
% 226.60/226.97 ) ) ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity ) ) ]
% 226.60/226.97 )
% 226.60/226.97 .
% 226.60/226.97 clause( 95896, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.97 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 95899, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 226.60/226.97 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96003, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.97 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96046, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 226.60/226.97 , inverse( Y ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96056, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 226.60/226.97 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96273, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 226.60/226.97 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96734, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 226.60/226.97 ) ), identity ), 'greatest_lower_bound'( Y, X ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 96760, [ =( multiply( 'least_upper_bound'( identity, multiply( X, Y
% 226.60/226.97 ) ), 'greatest_lower_bound'( inverse( Y ), X ) ), X ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 99100, [ =( b, a ) ] )
% 226.60/226.97 .
% 226.60/226.97 clause( 99115, [] )
% 226.60/226.97 .
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 % SZS output end Refutation
% 226.60/226.97 found a proof!
% 226.60/226.97
% 226.60/226.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 226.60/226.97
% 226.60/226.97 initialclauses(
% 226.60/226.97 [ clause( 99117, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 , clause( 99118, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , clause( 99119, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 226.60/226.97 multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99120, [ =( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , clause( 99121, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 , clause( 99122, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 226.60/226.97 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99123, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99124, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 226.60/226.97 , clause( 99125, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 226.60/226.97 , clause( 99126, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , clause( 99127, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , clause( 99128, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 99129, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 99130, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99131, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99132, [ =( inverse( identity ), identity ) ] )
% 226.60/226.97 , clause( 99133, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , clause( 99134, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 226.60/226.97 inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99135, [ =( 'greatest_lower_bound'( a, c ),
% 226.60/226.97 'greatest_lower_bound'( b, c ) ) ] )
% 226.60/226.97 , clause( 99136, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 226.60/226.97 c ) ) ] )
% 226.60/226.97 , clause( 99137, [ ~( =( a, b ) ) ] )
% 226.60/226.97 ] ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 , clause( 99117, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , clause( 99118, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99143, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 226.60/226.97 , Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99119, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 226.60/226.97 multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 226.60/226.97 , Z ) ) ] )
% 226.60/226.97 , clause( 99143, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 226.60/226.97 X, Y ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 , clause( 99120, [ =( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 226.60/226.97 ] )
% 226.60/226.97 , clause( 99121, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 226.60/226.97 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99122, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 226.60/226.97 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99123, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 226.60/226.97 , clause( 99125, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 99126, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99127, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99192, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99128, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 226.60/226.97 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99192, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 226.60/226.97 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99203, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 226.60/226.97 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99129, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 99203, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 226.60/226.97 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99215, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99130, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 226.60/226.97 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99215, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99228, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 226.60/226.97 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99131, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99228, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 226.60/226.97 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 15, [ =( inverse( identity ), identity ) ] )
% 226.60/226.97 , clause( 99132, [ =( inverse( identity ), identity ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , clause( 99133, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99273, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99134, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 226.60/226.97 inverse( X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99273, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99290, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 226.60/226.97 a, c ) ) ] )
% 226.60/226.97 , clause( 99135, [ =( 'greatest_lower_bound'( a, c ),
% 226.60/226.97 'greatest_lower_bound'( b, c ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 226.60/226.97 , c ) ) ] )
% 226.60/226.97 , clause( 99290, [ =( 'greatest_lower_bound'( b, c ),
% 226.60/226.97 'greatest_lower_bound'( a, c ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99308, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 99136, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 226.60/226.97 c ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 226.60/226.97 ] )
% 226.60/226.97 , clause( 99308, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a,
% 226.60/226.97 c ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99327, [ ~( =( b, a ) ) ] )
% 226.60/226.97 , clause( 99137, [ ~( =( a, b ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 20, [ ~( =( b, a ) ) ] )
% 226.60/226.97 , clause( 99327, [ ~( =( b, a ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99329, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99330, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , 0, clause( 99329, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.97 X ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99331, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , clause( 99330, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , clause( 99331, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99333, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 226.60/226.97 Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 226.60/226.97 ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99336, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 226.60/226.97 , identity ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99333, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 226.60/226.97 multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 , clause( 99336, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 226.60/226.97 X, identity ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99340, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99342, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99340, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'(
% 226.60/226.97 b, c ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 26, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b ) )
% 226.60/226.97 ] )
% 226.60/226.97 , clause( 99342, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c,
% 226.60/226.97 b ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99349, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( a, c
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 26, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99351, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99349, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'(
% 226.60/226.97 a, c ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 27, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a ) )
% 226.60/226.97 ] )
% 226.60/226.97 , clause( 99351, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c,
% 226.60/226.97 a ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99358, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 226.60/226.97 b, c ) ) ] )
% 226.60/226.97 , clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 226.60/226.97 a, c ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99360, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 226.60/226.97 c, b ) ) ] )
% 226.60/226.97 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , 0, clause( 99358, [ =( 'greatest_lower_bound'( a, c ),
% 226.60/226.97 'greatest_lower_bound'( b, c ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 28, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( c
% 226.60/226.97 , b ) ) ] )
% 226.60/226.97 , clause( 99360, [ =( 'greatest_lower_bound'( a, c ),
% 226.60/226.97 'greatest_lower_bound'( c, b ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99368, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 226.60/226.97 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99374, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 226.60/226.97 , 0, clause( 99368, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 226.60/226.97 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, Y ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 226.60/226.97 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , clause( 99374, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 226.60/226.97 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99379, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 226.60/226.97 a, c ) ) ] )
% 226.60/226.97 , clause( 28, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 226.60/226.97 c, b ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99381, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 226.60/226.97 c, a ) ) ] )
% 226.60/226.97 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , 0, clause( 99379, [ =( 'greatest_lower_bound'( c, b ),
% 226.60/226.97 'greatest_lower_bound'( a, c ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 35, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'( c
% 226.60/226.97 , a ) ) ] )
% 226.60/226.97 , clause( 99381, [ =( 'greatest_lower_bound'( c, b ),
% 226.60/226.97 'greatest_lower_bound'( c, a ) ) ] )
% 226.60/226.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99389, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 226.60/226.97 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99392, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99389, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 226.60/226.97 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 37, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 226.60/226.97 , clause( 99392, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 226.60/226.97 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99396, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99397, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , 0, clause( 99396, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99400, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99397, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99400, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99401, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99402, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99401, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99405, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99402, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 226.60/226.97 , X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99405, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99406, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99407, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99406, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 226.60/226.97 , Y ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99410, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99407, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 46, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99410, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 226.60/226.97 X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99412, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99413, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99412, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 226.60/226.97 , Y ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99414, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 226.60/226.97 , clause( 99413, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 226.60/226.97 , clause( 99414, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99415, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99418, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99415, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 52, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 226.60/226.97 , clause( 99418, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99432, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99437, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99432, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99450, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99437, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 53, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , clause( 99450, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99452, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99455, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 226.60/226.97 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99452, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 226.60/226.97 Y, X ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99456, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99455, [ =( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 226.60/226.97 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99456, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 226.60/226.97 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99458, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99461, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), X ) ) ] )
% 226.60/226.97 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99458, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99462, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99461, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 63, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99462, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 226.60/226.97 , 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99463, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99464, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , 0, clause( 99463, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99467, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99464, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99467, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99468, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99469, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99468, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99472, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99469, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99472, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99474, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99475, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 226.60/226.97 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 226.60/226.97 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99474, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 Y, X ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99476, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99475, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.97 , clause( 99476, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99477, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99478, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99477, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 Y, X ) ) ) ] )
% 226.60/226.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99481, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 226.60/226.97 ), X ) ] )
% 226.60/226.97 , clause( 99478, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 226.60/226.97 X ) ] )
% 226.60/226.97 , clause( 99481, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99483, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99484, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99483, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 76, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99484, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.97 , 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99489, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99491, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99489, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 226.60/226.97 , clause( 99491, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 226.60/226.97 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99495, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99497, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, clause( 99495, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.97 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99500, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 226.60/226.97 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99497, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 226.60/226.97 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 78, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 226.60/226.97 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99500, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 226.60/226.97 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99503, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 226.60/226.97 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99506, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, clause( 99503, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.97 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99509, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 226.60/226.97 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 99506, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 226.60/226.97 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 79, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 226.60/226.97 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 99509, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 226.60/226.97 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99510, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , Y ) ) ] )
% 226.60/226.97 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99512, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), X ), Y ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99510, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 226.60/226.97 , Y ), Y ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z,
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99513, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99512, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), X ), Y ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 80, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 226.60/226.97 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.97 , clause( 99513, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99515, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99520, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ), Z ), 'least_upper_bound'( X, Z ) ) ] )
% 226.60/226.97 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99515, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 81, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 226.60/226.97 , clause( 99520, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ), Z ), 'least_upper_bound'( X, Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99525, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , Y ) ) ] )
% 226.60/226.97 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99526, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 226.60/226.97 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99525, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 226.60/226.97 , Y ), Y ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99527, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99526, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 83, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.97 , clause( 99527, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99528, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99530, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99528, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99532, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99530, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 101, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , clause( 99532, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99534, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99536, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99534, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99539, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 226.60/226.97 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99536, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 226.60/226.97 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 102, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 226.60/226.97 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99539, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 226.60/226.97 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99542, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99545, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99542, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99548, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 226.60/226.97 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 99545, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) )
% 226.60/226.97 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.97 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99548, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 226.60/226.97 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99550, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99551, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, clause( 99550, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.97 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 104, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 99551, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X )
% 226.60/226.97 , 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99555, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99557, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , 0, clause( 99555, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99559, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 226.60/226.97 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99557, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 116, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , clause( 99559, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 226.60/226.97 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99561, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99563, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 226.60/226.97 ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99561, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99566, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 226.60/226.97 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99563, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 226.60/226.97 ) ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 117, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 226.60/226.97 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 99566, [ =( 'greatest_lower_bound'( identity, multiply( Y,
% 226.60/226.97 inverse( X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99569, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99572, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 226.60/226.97 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99569, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99575, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 226.60/226.97 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99572, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y
% 226.60/226.97 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 118, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.97 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99575, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 226.60/226.97 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99577, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99578, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 226.60/226.97 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 , 0, clause( 99577, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 226.60/226.97 identity ), :=( Y, Y ), :=( Z, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99580, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 226.60/226.97 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 226.60/226.97 , clause( 99578, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 226.60/226.97 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 226.60/226.97 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 226.60/226.97 , clause( 99580, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 226.60/226.97 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99583, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99584, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 226.60/226.97 inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , 0, clause( 99583, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 226.60/226.97 ), inverse( Y ) ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.97 Y ) ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 143, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 99584, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 226.60/226.97 inverse( X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99589, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99591, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 226.60/226.97 inverse( Y ), X ) ) ] )
% 226.60/226.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , 0, clause( 99589, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 226.60/226.97 ), inverse( Y ) ) ) ] )
% 226.60/226.97 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 226.60/226.97 :=( Y, inverse( X ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 144, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 226.60/226.97 Y ), X ) ) ] )
% 226.60/226.97 , clause( 99591, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 226.60/226.97 inverse( Y ), X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99595, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99597, [ =( inverse( multiply( X, identity ) ), multiply( identity
% 226.60/226.97 , inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 226.60/226.97 , 0, clause( 99595, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 226.60/226.97 ), inverse( Y ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 226.60/226.97 , X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99601, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 226.60/226.97 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.97 , 0, clause( 99597, [ =( inverse( multiply( X, identity ) ), multiply(
% 226.60/226.97 identity, inverse( X ) ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 226.60/226.97 :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 145, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 226.60/226.97 , clause( 99601, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99604, [ =( X, inverse( inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99607, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 226.60/226.97 , clause( 145, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 226.60/226.97 , 0, clause( 99604, [ =( X, inverse( inverse( X ) ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.97 multiply( X, identity ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99608, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.97 , 0, clause( 99607, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , clause( 99608, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99611, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 226.60/226.97 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99612, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , 0, clause( 99611, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, identity ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99614, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 226.60/226.97 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 , clause( 99612, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 226.60/226.97 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 148, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 226.60/226.97 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 , clause( 99614, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 226.60/226.97 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99618, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 226.60/226.97 , clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 226.60/226.97 Y, identity ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 226.60/226.97 :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 , clause( 99618, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99626, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 226.60/226.97 inverse( inverse( Y ) ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99628, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 226.60/226.97 Y, X ) ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99626, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 226.60/226.97 ), inverse( inverse( Y ) ) ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99629, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 144, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 226.60/226.97 inverse( Y ), X ) ) ] )
% 226.60/226.97 , 0, clause( 99628, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 226.60/226.97 multiply( Y, X ) ) ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99630, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 99629, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 226.60/226.97 Y ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 99630, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99632, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 226.60/226.97 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99633, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 226.60/226.97 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 , 0, clause( 99632, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 155, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 226.60/226.97 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 99633, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 226.60/226.97 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99638, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 226.60/226.97 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99639, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 226.60/226.97 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 , 0, clause( 99638, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 157, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 226.60/226.97 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99639, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z )
% 226.60/226.97 , inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99643, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 226.60/226.97 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99645, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z,
% 226.60/226.97 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 226.60/226.97 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , 0, clause( 99643, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99651, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99645, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Z
% 226.60/226.97 , 'least_upper_bound'( X, Y ) ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99652, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 226.60/226.97 , clause( 99651, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 201, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 226.60/226.97 , clause( 99652, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Y, X ), Z ), X ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99654, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.97 , X ) ) ] )
% 226.60/226.97 , clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99659, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 226.60/226.97 , Z ) ) ) ] )
% 226.60/226.97 , clause( 201, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ), X ), X ) ] )
% 226.60/226.97 , 0, clause( 99654, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 226.60/226.97 , Y ), X ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 226.60/226.97 substitution( 1, [ :=( X, 'least_upper_bound'( 'least_upper_bound'( X, Y
% 226.60/226.97 ), Z ) ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99660, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X, Y )
% 226.60/226.97 ), Z ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99659, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( Y, 'least_upper_bound'( 'least_upper_bound'( X
% 226.60/226.97 , Y ), Z ) ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) )
% 226.60/226.97 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99662, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Y
% 226.60/226.97 ), Z ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99660, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( 'least_upper_bound'( Y, 'least_upper_bound'( X
% 226.60/226.97 , Y ) ), Z ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99663, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 63, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , 0, clause( 99662, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( 'least_upper_bound'( 'least_upper_bound'( Y, X
% 226.60/226.97 ), Y ), Z ) ) ] )
% 226.60/226.97 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 205, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99663, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99664, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99669, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 226.60/226.97 inverse( multiply( X, Y ) ) ) ) ] )
% 226.60/226.97 , clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, clause( 99664, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99670, [ =( inverse( X ), inverse( multiply( multiply( X, Y ),
% 226.60/226.97 inverse( Y ) ) ) ) ] )
% 226.60/226.97 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 226.60/226.97 multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99669, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 226.60/226.97 inverse( multiply( X, Y ) ) ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99671, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 143, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 226.60/226.97 inverse( Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99670, [ =( inverse( X ), inverse( multiply( multiply( X, Y )
% 226.60/226.97 , inverse( Y ) ) ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99672, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 99671, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 99672, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 226.60/226.97 X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99674, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 226.60/226.97 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99675, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 226.60/226.97 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, clause( 99674, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.97 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 239, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 226.60/226.97 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 226.60/226.97 ) ] )
% 226.60/226.97 , clause( 99675, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 226.60/226.97 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 226.60/226.97 X, Z ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99680, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99683, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 226.60/226.97 , clause( 37, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 226.60/226.97 , 0, clause( 99680, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 Y, X ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y,
% 226.60/226.97 'greatest_lower_bound'( Z, X ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99684, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Z, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99683, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 394, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.97 , clause( 99684, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Z, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99687, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 226.60/226.97 , clause( 205, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99690, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 226.60/226.97 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99687, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z
% 226.60/226.97 ) ), 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 226.60/226.97 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 414, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , clause( 99690, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99691, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 226.60/226.97 , clause( 394, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99694, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Z, X ), Y ), X ) ) ] )
% 226.60/226.97 , clause( 414, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , 0, clause( 99691, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Z, X ) ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 226.60/226.97 'greatest_lower_bound'( Z, X ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 226.60/226.97 , Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99707, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), X ), 'least_upper_bound'( X, Y ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99694, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Z, X ), Y ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), X ), 'least_upper_bound'( X, Y ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 99707, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ), X ), 'least_upper_bound'( X, Y ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99708, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99711, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 226.60/226.97 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 226.60/226.97 , clause( 116, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , 0, clause( 99708, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 226.60/226.97 ) ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99714, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, clause( 99711, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 226.60/226.97 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 226.60/226.97 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 455, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99714, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99715, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99716, [ =( inverse( X ), multiply( inverse( multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, Y ), X ) ), 'greatest_lower_bound'( Y, Z ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , clause( 116, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , 0, clause( 99715, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 226.60/226.97 ), X ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y, X )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99719, [ =( multiply( inverse( multiply( 'greatest_lower_bound'( Y
% 226.60/226.97 , Z ), X ) ), 'greatest_lower_bound'( Z, Y ) ), inverse( X ) ) ] )
% 226.60/226.97 , clause( 99716, [ =( inverse( X ), multiply( inverse( multiply(
% 226.60/226.97 'greatest_lower_bound'( Z, Y ), X ) ), 'greatest_lower_bound'( Y, Z ) ) )
% 226.60/226.97 ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 456, [ =( multiply( inverse( multiply( 'greatest_lower_bound'( Y, X
% 226.60/226.97 ), Z ) ), 'greatest_lower_bound'( X, Y ) ), inverse( Z ) ) ] )
% 226.60/226.97 , clause( 99719, [ =( multiply( inverse( multiply( 'greatest_lower_bound'(
% 226.60/226.97 Y, Z ), X ) ), 'greatest_lower_bound'( Z, Y ) ), inverse( X ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99720, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99723, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 226.60/226.97 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 226.60/226.97 , clause( 101, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 226.60/226.97 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , 0, clause( 99720, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 226.60/226.97 ) ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 226.60/226.97 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99726, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 226.60/226.97 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, clause( 99723, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 226.60/226.97 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 491, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99726, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 226.60/226.97 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99727, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99728, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 226.60/226.97 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 491, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 226.60/226.97 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99727, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99731, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 'least_upper_bound'( Y, X ) ), identity ) ] )
% 226.60/226.97 , clause( 99728, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 226.60/226.97 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 507, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), identity ) ] )
% 226.60/226.97 , clause( 99731, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 'least_upper_bound'( Y, X ) ), identity ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99733, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 226.60/226.97 ) ) ) ] )
% 226.60/226.97 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99734, [ =( X, 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.97 , clause( 148, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 226.60/226.97 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99733, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 226.60/226.97 X, Y ) ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99735, [ =( 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 226.60/226.97 , clause( 99734, [ =( X, 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 659, [ =( 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 226.60/226.97 , clause( 99735, [ =( 'least_upper_bound'( X, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99737, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 226.60/226.97 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 148, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 226.60/226.97 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99739, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 226.60/226.97 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99737, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 226.60/226.97 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 226.60/226.97 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99740, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.97 , 0, clause( 99739, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 226.60/226.97 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99741, [ =( 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 226.60/226.97 , clause( 99740, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 660, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 226.60/226.97 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 226.60/226.97 , clause( 99741, [ =( 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99743, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , clause( 660, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 226.60/226.97 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99744, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.97 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 , clause( 507, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( X, Y ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99743, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 226.60/226.97 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 226.60/226.97 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 226.60/226.97 , :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99745, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 99744, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.97 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.97 identity ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 733, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , clause( 99745, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.97 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99747, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 226.60/226.97 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 226.60/226.97 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99751, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 226.60/226.97 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.97 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 226.60/226.97 , 0, clause( 99747, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 226.60/226.97 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.97 inverse( X ) ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1134, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 226.60/226.97 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.97 , clause( 99751, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 226.60/226.97 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99755, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 226.60/226.97 , clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99758, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , clause( 61, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , 0, clause( 99755, [ =( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99764, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , clause( 99758, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1142, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , clause( 99764, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99767, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 226.60/226.97 , clause( 153, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99770, [ =( X, multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.97 , Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.97 , clause( 76, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, clause( 99767, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99771, [ =( multiply( 'least_upper_bound'( identity, multiply( X, Y
% 226.60/226.97 ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 , clause( 99770, [ =( X, multiply( 'least_upper_bound'( identity, multiply(
% 226.60/226.97 X, Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1320, [ =( multiply( 'least_upper_bound'( identity, multiply( X, Y
% 226.60/226.97 ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 , clause( 99771, [ =( multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.97 , Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99774, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 1142, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , 0, clause( 53, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X )
% 226.60/226.97 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.97 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.97 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, Z ), :=( Z,
% 226.60/226.97 'greatest_lower_bound'( X, Y ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1321, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 99774, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99776, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 52, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 226.60/226.97 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99779, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 1142, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.97 , 0, clause( 99776, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 226.60/226.97 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, 'greatest_lower_bound'( X
% 226.60/226.97 , Y ) ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99780, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 226.60/226.97 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 1321, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99779, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 226.60/226.97 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1322, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 226.60/226.97 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , clause( 99780, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.97 Z ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99781, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 226.60/226.97 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 1322, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 226.60/226.97 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 226.60/226.97 ) ) ] )
% 226.60/226.97 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1357, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 226.60/226.97 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , clause( 99781, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.97 Z ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99785, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 226.60/226.97 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , clause( 1357, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 226.60/226.97 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99786, [ =( 'least_upper_bound'( identity, multiply( X, Y ) ),
% 226.60/226.97 multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , clause( 76, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99788, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), multiply( X, 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, Y ), inverse( X ) ) ) ) ] )
% 226.60/226.97 , clause( 99785, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 226.60/226.97 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 226.60/226.97 , 0, clause( 99786, [ =( 'least_upper_bound'( identity, multiply( X, Y ) )
% 226.60/226.97 , multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 226.60/226.97 ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99789, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Z, Y ) ), identity ) ) ] )
% 226.60/226.97 , clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 226.60/226.97 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 226.60/226.97 , 0, clause( 99788, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), multiply( X, 'least_upper_bound'(
% 226.60/226.97 'greatest_lower_bound'( Z, Y ), inverse( X ) ) ) ) ] )
% 226.60/226.97 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Z, Y
% 226.60/226.97 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1360, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Z, Y ) ), identity ) ) ] )
% 226.60/226.97 , clause( 99789, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Z, Y ) ), identity ) ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99792, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 226.60/226.97 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , clause( 78, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 226.60/226.97 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99795, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 226.60/226.97 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99792, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 226.60/226.97 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 226.60/226.97 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.97 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X ) )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99796, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 226.60/226.97 multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ), identity ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , clause( 1360, [ =( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Y, Z ) ) ), 'least_upper_bound'( multiply( X,
% 226.60/226.97 'greatest_lower_bound'( Z, Y ) ), identity ) ) ] )
% 226.60/226.97 , 0, clause( 99795, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 226.60/226.97 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, X )] )
% 226.60/226.97 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99797, [ =( identity, 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 226.60/226.97 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 226.60/226.97 , 0, clause( 99796, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 226.60/226.97 multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ), identity ) ) ]
% 226.60/226.97 )
% 226.60/226.97 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.97 :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99798, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ), identity ) ] )
% 226.60/226.97 , clause( 99797, [ =( identity, 'least_upper_bound'( multiply( inverse( X )
% 226.60/226.97 , 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 subsumption(
% 226.60/226.97 clause( 1598, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ), identity ) ] )
% 226.60/226.97 , clause( 99798, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ), identity ) ] )
% 226.60/226.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.97 )] ) ).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 eqswap(
% 226.60/226.97 clause( 99800, [ =( identity, 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 226.60/226.97 , clause( 1598, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 226.60/226.97 'greatest_lower_bound'( X, Y ) ), identity ), identity ) ] )
% 226.60/226.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.97
% 226.60/226.97
% 226.60/226.97 paramod(
% 226.60/226.97 clause( 99803, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 226.60/226.97 'least_upper_bound'( X, Y ) ), X ), identity ) ) ] )
% 226.60/226.97 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 226.60/226.97 , X ) ] )
% 226.60/226.97 , 0, clause( 99800, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 226.60/226.97 X ), 'greatest_lower_bound'( X, Y ) ), identity ) ) ] )
% 226.60/226.98 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99804, [ =( 'least_upper_bound'( multiply( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99803, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), X ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1645, [ =( 'least_upper_bound'( multiply( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99804, [ =( 'least_upper_bound'( multiply( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99806, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99807, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , clause( 79, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 226.60/226.98 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , 0, clause( 99806, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 226.60/226.98 Y, X ) ) ) ] )
% 226.60/226.98 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99808, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 226.60/226.98 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 226.60/226.98 , clause( 99807, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1705, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 226.60/226.98 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 226.60/226.98 , clause( 99808, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 226.60/226.98 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99810, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 226.60/226.98 , Y ) ) ] )
% 226.60/226.98 , clause( 46, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99811, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 226.60/226.98 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 226.60/226.98 , clause( 79, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 226.60/226.98 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , 0, clause( 99810, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X
% 226.60/226.98 , Y ), Y ) ) ] )
% 226.60/226.98 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, multiply( inverse( X ), Y ) ), :=( Y, identity )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99812, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 226.60/226.98 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99811, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1706, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 226.60/226.98 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99812, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 226.60/226.98 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99814, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , clause( 1705, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 226.60/226.98 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99817, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 inverse( multiply( X, 'greatest_lower_bound'( identity, Y ) ) ), X ) ) )
% 226.60/226.98 ] )
% 226.60/226.98 , clause( 659, [ =( 'least_upper_bound'( X, multiply( X,
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99814, [ =( identity, 'greatest_lower_bound'( identity,
% 226.60/226.98 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, multiply( X, 'greatest_lower_bound'( identity, Y ) ) ), :=( Y, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99818, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.98 , clause( 154, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 99817, [ =( identity, 'greatest_lower_bound'( identity,
% 226.60/226.98 multiply( inverse( multiply( X, 'greatest_lower_bound'( identity, Y ) ) )
% 226.60/226.98 , X ) ) ) ] )
% 226.60/226.98 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, Y ) ),
% 226.60/226.98 :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99819, [ =( 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ), identity ) ] )
% 226.60/226.98 , clause( 99818, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1718, [ =( 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ), identity ) ] )
% 226.60/226.98 , clause( 99819, [ =( 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ), identity ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99821, [ =( identity, 'greatest_lower_bound'( multiply( inverse( X
% 226.60/226.98 ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 226.60/226.98 , clause( 1706, [ =( 'greatest_lower_bound'( multiply( inverse( X ),
% 226.60/226.98 'least_upper_bound'( Y, X ) ), identity ), identity ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99824, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 226.60/226.98 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, clause( 99821, [ =( identity, 'greatest_lower_bound'( multiply(
% 226.60/226.98 inverse( X ), 'least_upper_bound'( Y, X ) ), identity ) ) ] )
% 226.60/226.98 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99825, [ =( 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99824, [ =( identity, 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1807, [ =( 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , clause( 99825, [ =( 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99827, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Z ) ) ] )
% 226.60/226.98 , clause( 81, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), Y ), 'least_upper_bound'( Z, Y ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99828, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, Y ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, identity
% 226.60/226.98 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.98 , clause( 1718, [ =( 'greatest_lower_bound'( identity, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ), identity ) ] )
% 226.60/226.98 , 0, clause( 99827, [ =( 'least_upper_bound'( X, Z ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Z ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, identity ), :=( Z, inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, Y ) ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99829, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 226.60/226.98 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), 'least_upper_bound'(
% 226.60/226.98 X, inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 226.60/226.98 , clause( 99828, [ =( 'least_upper_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, Y ) ) ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, Y ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 1824, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, identity )
% 226.60/226.98 , inverse( 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 226.60/226.98 Y, inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 226.60/226.98 , clause( 99829, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 226.60/226.98 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ),
% 226.60/226.98 'least_upper_bound'( X, inverse( 'greatest_lower_bound'( identity, Y ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99831, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y ) ),
% 226.60/226.98 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 226.60/226.98 , clause( 102, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 226.60/226.98 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99832, [ =( multiply( 'least_upper_bound'( c, a ), inverse( c ) ),
% 226.60/226.98 'least_upper_bound'( identity, multiply( b, inverse( c ) ) ) ) ] )
% 226.60/226.98 , clause( 27, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, clause( 99831, [ =( multiply( 'least_upper_bound'( Y, X ), inverse( Y
% 226.60/226.98 ) ), 'least_upper_bound'( identity, multiply( X, inverse( Y ) ) ) ) ] )
% 226.60/226.98 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 2549, [ =( multiply( 'least_upper_bound'( c, a ), inverse( c ) ),
% 226.60/226.98 'least_upper_bound'( identity, multiply( b, inverse( c ) ) ) ) ] )
% 226.60/226.98 , clause( 99832, [ =( multiply( 'least_upper_bound'( c, a ), inverse( c ) )
% 226.60/226.98 , 'least_upper_bound'( identity, multiply( b, inverse( c ) ) ) ) ] )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99835, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 226.60/226.98 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.98 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99836, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 226.60/226.98 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.98 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, clause( 99835, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y
% 226.60/226.98 ) ), 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.98 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 2690, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) ),
% 226.60/226.98 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.98 , clause( 99836, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) )
% 226.60/226.98 , 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99839, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99842, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.98 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 104, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 226.60/226.98 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 226.60/226.98 , 0, clause( 99839, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 226.60/226.98 ) ) ) ) ] )
% 226.60/226.98 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99843, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 99842, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 226.60/226.98 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 2773, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 99843, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99845, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 226.60/226.98 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 118, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99848, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, X ) )
% 226.60/226.98 , inverse( multiply( Y, X ) ) ), 'greatest_lower_bound'( inverse( Y ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , clause( 231, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 99845, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 226.60/226.98 Y ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) )
% 226.60/226.98 ] )
% 226.60/226.98 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 3265, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, X ) )
% 226.60/226.98 , inverse( multiply( Y, X ) ) ), 'greatest_lower_bound'( inverse( Y ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , clause( 99848, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, X )
% 226.60/226.98 ), inverse( multiply( Y, X ) ) ), 'greatest_lower_bound'( inverse( Y ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99851, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 226.60/226.98 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 155, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 226.60/226.98 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99853, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 X, Y ) ), multiply( identity, inverse( X ) ) ), multiply( identity,
% 226.60/226.98 inverse( X ) ) ) ] )
% 226.60/226.98 , clause( 1807, [ =( 'greatest_lower_bound'( multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , 0, clause( 99851, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 226.60/226.98 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 226.60/226.98 Y ) ) ) ] )
% 226.60/226.98 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, X ), :=( Z,
% 226.60/226.98 identity )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99855, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 X, Y ) ), multiply( identity, inverse( X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.98 , 0, clause( 99853, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), multiply( identity, inverse( X ) ) ),
% 226.60/226.98 multiply( identity, inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99856, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.98 , 0, clause( 99855, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), multiply( identity, inverse( X ) ) ),
% 226.60/226.98 inverse( X ) ) ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4545, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 99856, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99861, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 226.60/226.98 , clause( 4545, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99863, [ =( inverse( inverse( X ) ), 'greatest_lower_bound'(
% 226.60/226.98 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99861, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.98 inverse( X ) ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99864, [ =( X, 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99863, [ =( inverse( inverse( X ) ), 'greatest_lower_bound'(
% 226.60/226.98 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.98 :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99866, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , clause( 99864, [ =( X, 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4577, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , clause( 99866, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99869, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , clause( 1142, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99873, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 226.60/226.98 , Y ) ) ), X ) ) ] )
% 226.60/226.98 , clause( 4577, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , 0, clause( 99869, [ =( 'greatest_lower_bound'( X, Y ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99875, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, clause( 99873, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 226.60/226.98 , Y ) ) ), X ) ) ] )
% 226.60/226.98 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 226.60/226.98 X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4585, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , clause( 99875, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99877, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , clause( 4585, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99878, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , clause( 455, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ) ) ] )
% 226.60/226.98 , 0, clause( 99877, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 226.60/226.98 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99884, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , clause( 99878, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4606, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , clause( 99884, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99888, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , clause( 4606, [ =( 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99889, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99888, [ =( X, 'greatest_lower_bound'( X, inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.98 X ) ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99890, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 99889, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4633, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 99890, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99892, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 226.60/226.98 , Y ) ) ] )
% 226.60/226.98 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99893, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 226.60/226.98 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 226.60/226.98 ) ) ) ) ] )
% 226.60/226.98 , clause( 4633, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , 0, clause( 99892, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 226.60/226.98 , Y ), Y ) ) ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99894, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , clause( 99893, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 226.60/226.98 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 226.60/226.98 ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4677, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , clause( 99894, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 226.60/226.98 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99896, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ),
% 226.60/226.98 multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 157, [ =( multiply( 'least_upper_bound'( multiply( X, Y ), Z ),
% 226.60/226.98 inverse( Y ) ), 'least_upper_bound'( X, multiply( Z, inverse( Y ) ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99898, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 226.60/226.98 ) ), multiply( identity, inverse( X ) ) ), multiply( identity, inverse(
% 226.60/226.98 X ) ) ) ] )
% 226.60/226.98 , clause( 1645, [ =( 'least_upper_bound'( multiply( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), X ), identity ), identity ) ] )
% 226.60/226.98 , 0, clause( 99896, [ =( 'least_upper_bound'( X, multiply( Z, inverse( Y )
% 226.60/226.98 ) ), multiply( 'least_upper_bound'( multiply( X, Y ), Z ), inverse( Y )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, inverse( 'least_upper_bound'( X, Y ) ) ), :=( Y, X ), :=( Z,
% 226.60/226.98 identity )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99900, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 226.60/226.98 ) ), multiply( identity, inverse( X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.98 , 0, clause( 99898, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 X, Y ) ), multiply( identity, inverse( X ) ) ), multiply( identity,
% 226.60/226.98 inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99901, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 226.60/226.98 ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 226.60/226.98 , 0, clause( 99900, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 X, Y ) ), multiply( identity, inverse( X ) ) ), inverse( X ) ) ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4682, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 226.60/226.98 ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , clause( 99901, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 226.60/226.98 , Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99906, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 226.60/226.98 , clause( 4682, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 226.60/226.98 Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99908, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99906, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.98 inverse( X ) ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99909, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99908, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 226.60/226.98 inverse( 'least_upper_bound'( inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.98 :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99911, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , clause( 99909, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4707, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , clause( 99911, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99914, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 226.60/226.98 ) ), Y ), Z ) ) ] )
% 226.60/226.98 , clause( 80, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 226.60/226.98 'least_upper_bound'( Y, Z ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99917, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( Z, X ), inverse( 'least_upper_bound'( inverse( X
% 226.60/226.98 ), Y ) ) ), X ) ) ] )
% 226.60/226.98 , clause( 4707, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , 0, clause( 99914, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 226.60/226.98 ) ), Y ), Z ) ) ] )
% 226.60/226.98 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, Z ), :=( Y, inverse( 'least_upper_bound'( inverse( X ), Y ) ) ),
% 226.60/226.98 :=( Z, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99918, [ =( X, 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( Z, X ), inverse( 'least_upper_bound'( inverse( X
% 226.60/226.98 ), Y ) ) ), X ) ) ] )
% 226.60/226.98 , clause( 4707, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), X ) ] )
% 226.60/226.98 , 0, clause( 99917, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ), X ), 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( Z, X ), inverse( 'least_upper_bound'( inverse( X
% 226.60/226.98 ), Y ) ) ), X ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99921, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Z ) ) ) ) ] )
% 226.60/226.98 , clause( 417, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( Z, X ), Y ), X ), 'least_upper_bound'( X, Y ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , 0, clause( 99918, [ =( X, 'least_upper_bound'( 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( Z, X ), inverse( 'least_upper_bound'( inverse( X
% 226.60/226.98 ), Y ) ) ), X ) ) ] )
% 226.60/226.98 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Z ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=(
% 226.60/226.98 Y, Z ), :=( Z, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99922, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , clause( 99921, [ =( X, 'least_upper_bound'( X, inverse(
% 226.60/226.98 'least_upper_bound'( inverse( X ), Z ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4714, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , clause( 99922, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99923, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , clause( 4714, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99924, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , clause( 491, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.98 , 0, clause( 99923, [ =( X, 'least_upper_bound'( X, inverse(
% 226.60/226.98 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 226.60/226.98 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99930, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 226.60/226.98 , inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , clause( 99924, [ =( X, 'least_upper_bound'( X, inverse(
% 226.60/226.98 'least_upper_bound'( Y, inverse( X ) ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4736, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 226.60/226.98 , inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , clause( 99930, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99933, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , clause( 4714, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99935, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( Y, X ) ), Z ) ) ) ) ] )
% 226.60/226.98 , clause( 491, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 226.60/226.98 'least_upper_bound'( X, Y ) ) ) ] )
% 226.60/226.98 , 0, clause( 99933, [ =( X, 'least_upper_bound'( X, inverse(
% 226.60/226.98 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99942, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.98 inverse( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ), Z )
% 226.60/226.98 ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.98 , clause( 99935, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( Y, X ) ), Z ) ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4737, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.98 inverse( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ), Z )
% 226.60/226.98 ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.98 , clause( 99942, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.98 inverse( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ), Z )
% 226.60/226.98 ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 226.60/226.98 permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99944, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 226.60/226.98 , X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99945, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 226.60/226.98 , Y ) ) ] )
% 226.60/226.98 , clause( 4736, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 226.60/226.98 Y, inverse( X ) ) ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99944, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 226.60/226.98 Y, X ) ) ) ] )
% 226.60/226.98 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99946, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 226.60/226.98 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 99945, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 226.60/226.98 , Y ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4759, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( Y
% 226.60/226.98 , inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 99946, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99948, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 226.60/226.98 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 226.60/226.98 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.98 , clause( 83, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 226.60/226.98 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 226.60/226.98 'greatest_lower_bound'( Y, Z ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99951, [ =( 'greatest_lower_bound'( identity, X ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 733, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 99948, [ =( 'greatest_lower_bound'( Y, Z ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 226.60/226.98 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 226.60/226.98 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99956, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , clause( 99951, [ =( 'greatest_lower_bound'( identity, X ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 4999, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 226.60/226.98 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 226.60/226.98 , clause( 99956, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99957, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 226.60/226.98 ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 117, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 226.60/226.98 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99958, [ =( inverse( Z ), multiply( inverse( multiply(
% 226.60/226.98 'greatest_lower_bound'( X, Y ), Z ) ), 'greatest_lower_bound'( Y, X ) ) )
% 226.60/226.98 ] )
% 226.60/226.98 , clause( 456, [ =( multiply( inverse( multiply( 'greatest_lower_bound'( Y
% 226.60/226.98 , X ), Z ) ), 'greatest_lower_bound'( X, Y ) ), inverse( Z ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99960, [ =( inverse( inverse( X ) ), multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ),
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , clause( 99957, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y
% 226.60/226.98 ) ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , 0, clause( 99958, [ =( inverse( Z ), multiply( inverse( multiply(
% 226.60/226.98 'greatest_lower_bound'( X, Y ), Z ) ), 'greatest_lower_bound'( Y, X ) ) )
% 226.60/226.98 ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99961, [ =( X, multiply( inverse( 'greatest_lower_bound'( identity
% 226.60/226.98 , multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99960, [ =( inverse( inverse( X ) ), multiply( inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ),
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.98 :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99962, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 226.60/226.98 multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X ) ), X ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 99961, [ =( X, multiply( inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 15663, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 226.60/226.98 multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X ) ), X ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 99962, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 226.60/226.98 multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X ) ), X ) ]
% 226.60/226.98 )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99963, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 226.60/226.98 , clause( 2690, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) )
% 226.60/226.98 , 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99964, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 226.60/226.98 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.98 , clause( 103, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99965, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 99964, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) )
% 226.60/226.98 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 226.60/226.98 , 0, clause( 99963, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 22307, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 99965, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 226.60/226.98 ) ] )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99967, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 226.60/226.98 , clause( 2690, [ =( multiply( 'least_upper_bound'( a, c ), inverse( c ) )
% 226.60/226.98 , 'least_upper_bound'( multiply( b, inverse( c ) ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99970, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( c, a ), inverse( c ) ) ) ] )
% 226.60/226.98 , clause( 101, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 226.60/226.98 'least_upper_bound'( Z, X ), Y ) ) ] )
% 226.60/226.98 , 0, clause( 99967, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( a, c ), inverse( c ) ) ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, inverse( c ) ), :=( Z, c )] )
% 226.60/226.98 , substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99972, [ =( 'least_upper_bound'( multiply( a, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( c, a ), inverse( c ) ) ) ] )
% 226.60/226.98 , clause( 22307, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, clause( 99970, [ =( 'least_upper_bound'( multiply( b, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( c, a ), inverse( c ) ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99973, [ =( 'least_upper_bound'( multiply( a, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( identity, multiply( b, inverse( c ) ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 2549, [ =( multiply( 'least_upper_bound'( c, a ), inverse( c ) )
% 226.60/226.98 , 'least_upper_bound'( identity, multiply( b, inverse( c ) ) ) ) ] )
% 226.60/226.98 , 0, clause( 99972, [ =( 'least_upper_bound'( multiply( a, inverse( c ) ),
% 226.60/226.98 identity ), multiply( 'least_upper_bound'( c, a ), inverse( c ) ) ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [] ), substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99974, [ =( 'least_upper_bound'( identity, multiply( b, inverse( c
% 226.60/226.98 ) ) ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 99973, [ =( 'least_upper_bound'( multiply( a, inverse( c ) ),
% 226.60/226.98 identity ), 'least_upper_bound'( identity, multiply( b, inverse( c ) ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, substitution( 0, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 22308, [ =( 'least_upper_bound'( identity, multiply( b, inverse( c
% 226.60/226.98 ) ) ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , clause( 99974, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 226.60/226.98 c ) ) ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99976, [ =( 'greatest_lower_bound'( identity, Y ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.98 , clause( 4999, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 226.60/226.98 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99977, [ =( 'greatest_lower_bound'( identity, X ),
% 226.60/226.98 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 226.60/226.98 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 4759, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 Y, inverse( X ) ) ), X ), inverse( 'least_upper_bound'( Y, inverse( X ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 99976, [ =( 'greatest_lower_bound'( identity, Y ),
% 226.60/226.98 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 226.60/226.98 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 226.60/226.98 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99978, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , clause( 99977, [ =( 'greatest_lower_bound'( identity, X ),
% 226.60/226.98 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 226.60/226.98 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 95896, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , clause( 99978, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99980, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( Y, X ) ), Z ) ) ) ) ] )
% 226.60/226.98 , clause( 4737, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 226.60/226.98 inverse( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ), Z )
% 226.60/226.98 ) ), 'least_upper_bound'( X, Y ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99985, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 226.60/226.98 , clause( 95896, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ] )
% 226.60/226.98 , 0, clause( 99980, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 226.60/226.98 'least_upper_bound'( X, Y ), inverse( 'least_upper_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( Y, X ) ), Z ) ) ) ) ] )
% 226.60/226.98 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.98 inverse( X ) ), :=( Y, identity ), :=( Z, 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99988, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) ) ) ) ] )
% 226.60/226.98 , clause( 1824, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 226.60/226.98 ), inverse( 'greatest_lower_bound'( identity, X ) ) ),
% 226.60/226.98 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'( identity, X ) )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 99985, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 'least_upper_bound'( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 226.60/226.98 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 226.60/226.98 substitution( 1, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99989, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 4677, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 226.60/226.98 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , 0, clause( 99988, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) ) ) ) ] )
% 226.60/226.98 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 226.60/226.98 1, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 95899, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 99989, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99992, [ =( X, multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.98 , Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 226.60/226.98 , clause( 1320, [ =( multiply( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.98 Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99995, [ =( X, multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.98 , identity ) ), inverse( inverse( 'greatest_lower_bound'( identity, X ) )
% 226.60/226.98 ) ) ) ] )
% 226.60/226.98 , clause( 95899, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, clause( 99992, [ =( X, multiply( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( X, Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ) )
% 226.60/226.98 ] )
% 226.60/226.98 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.98 :=( Y, identity )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99996, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 inverse( inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 226.60/226.98 , clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.98 , 0, clause( 99995, [ =( X, multiply( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( X, identity ) ), inverse( inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, X ) ) ) ) ) ] )
% 226.60/226.98 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 99997, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 99996, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 inverse( inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 226.60/226.98 , 0, 6, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 226.60/226.98 , substitution( 1, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 99998, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.98 , clause( 99997, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96003, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.98 , clause( 99998, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100000, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 226.60/226.98 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.98 , clause( 95899, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100001, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 226.60/226.98 , inverse( Y ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , clause( 143, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 226.60/226.98 inverse( Y ) ) ) ] )
% 226.60/226.98 , 0, clause( 100000, [ =( inverse( 'greatest_lower_bound'( identity, X ) )
% 226.60/226.98 , 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.98 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, multiply( X, inverse( Y ) ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96046, [ =( inverse( 'greatest_lower_bound'( identity, multiply( X
% 226.60/226.98 , inverse( Y ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , clause( 100001, [ =( inverse( 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 X, inverse( Y ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100004, [ =( 'greatest_lower_bound'( inverse( Y ), identity ),
% 226.60/226.98 multiply( 'greatest_lower_bound'( X, multiply( Y, X ) ), inverse(
% 226.60/226.98 multiply( Y, X ) ) ) ) ] )
% 226.60/226.98 , clause( 3265, [ =( multiply( 'greatest_lower_bound'( X, multiply( Y, X )
% 226.60/226.98 ), inverse( multiply( Y, X ) ) ), 'greatest_lower_bound'( inverse( Y ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100009, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), multiply( 'greatest_lower_bound'(
% 226.60/226.98 'greatest_lower_bound'( identity, X ), multiply( 'least_upper_bound'(
% 226.60/226.98 identity, X ), 'greatest_lower_bound'( identity, X ) ) ), inverse( X ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 96003, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 100004, [ =( 'greatest_lower_bound'( inverse( Y ), identity )
% 226.60/226.98 , multiply( 'greatest_lower_bound'( X, multiply( Y, X ) ), inverse(
% 226.60/226.98 multiply( Y, X ) ) ) ) ] )
% 226.60/226.98 , 0, 20, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), :=( Y, 'least_upper_bound'(
% 226.60/226.98 identity, X ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100010, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), multiply( 'greatest_lower_bound'(
% 226.60/226.98 'greatest_lower_bound'( identity, X ), X ), inverse( X ) ) ) ] )
% 226.60/226.98 , clause( 96003, [ =( multiply( 'least_upper_bound'( identity, X ),
% 226.60/226.98 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 100009, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), identity ), multiply(
% 226.60/226.98 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), multiply(
% 226.60/226.98 'least_upper_bound'( identity, X ), 'greatest_lower_bound'( identity, X )
% 226.60/226.98 ) ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100011, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), multiply( 'greatest_lower_bound'( identity,
% 226.60/226.98 X ), inverse( X ) ) ) ] )
% 226.60/226.98 , clause( 33, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 226.60/226.98 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 226.60/226.98 , 0, clause( 100010, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), identity ), multiply(
% 226.60/226.98 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), X ),
% 226.60/226.98 inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 226.60/226.98 1, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100012, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), 'greatest_lower_bound'( inverse( X ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , clause( 1134, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 226.60/226.98 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.98 , 0, clause( 100011, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), identity ), multiply(
% 226.60/226.98 'greatest_lower_bound'( identity, X ), inverse( X ) ) ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100013, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.98 , clause( 733, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 226.60/226.98 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , 0, clause( 100012, [ =( 'greatest_lower_bound'( inverse(
% 226.60/226.98 'least_upper_bound'( identity, X ) ), identity ), 'greatest_lower_bound'(
% 226.60/226.98 inverse( X ), identity ) ) ] )
% 226.60/226.98 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100014, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 100013, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96056, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , clause( 100014, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100016, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X, Z )
% 226.60/226.98 ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) ), Z )
% 226.60/226.98 ) ) ] )
% 226.60/226.98 , clause( 239, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 226.60/226.98 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100019, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 226.60/226.98 identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( X, Y ) ) ) ) ) ] )
% 226.60/226.98 , clause( 96056, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 226.60/226.98 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 226.60/226.98 , 0, clause( 100016, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X
% 226.60/226.98 , Z ) ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) )
% 226.60/226.98 , Z ) ) ) ] )
% 226.60/226.98 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 226.60/226.98 :=( X, Y ), :=( Y, X ), :=( Z, identity )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100020, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 226.60/226.98 identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , clause( 2773, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , 0, clause( 100019, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 226.60/226.98 , identity ) ), multiply( Y, inverse( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( X, Y ) ) ) ) ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100021, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 226.60/226.98 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , clause( 147, [ =( multiply( X, identity ), X ) ] )
% 226.60/226.98 , 0, clause( 100020, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 226.60/226.98 , identity ) ), inverse( 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 226.60/226.98 :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100022, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 226.60/226.98 , clause( 100021, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 226.60/226.98 'least_upper_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96273, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 226.60/226.98 , clause( 100022, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100025, [ =( multiply( 'least_upper_bound'( multiply( Y, inverse( X
% 226.60/226.98 ) ), identity ), 'greatest_lower_bound'( X, Y ) ), Y ) ] )
% 226.60/226.98 , clause( 96046, [ =( inverse( 'greatest_lower_bound'( identity, multiply(
% 226.60/226.98 X, inverse( Y ) ) ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 226.60/226.98 identity ) ) ] )
% 226.60/226.98 , 0, clause( 15663, [ =( multiply( inverse( 'greatest_lower_bound'(
% 226.60/226.98 identity, multiply( Y, inverse( X ) ) ) ), 'greatest_lower_bound'( Y, X )
% 226.60/226.98 ), X ) ] )
% 226.60/226.98 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 226.60/226.98 :=( X, Y ), :=( Y, X )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96734, [ =( multiply( 'least_upper_bound'( multiply( X, inverse( Y
% 226.60/226.98 ) ), identity ), 'greatest_lower_bound'( Y, X ) ), X ) ] )
% 226.60/226.98 , clause( 100025, [ =( multiply( 'least_upper_bound'( multiply( Y, inverse(
% 226.60/226.98 X ) ), identity ), 'greatest_lower_bound'( X, Y ) ), Y ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100029, [ =( multiply( 'least_upper_bound'( identity, multiply( X,
% 226.60/226.98 Y ) ), 'greatest_lower_bound'( inverse( Y ), X ) ), X ) ] )
% 226.60/226.98 , clause( 96273, [ =( inverse( 'least_upper_bound'( inverse( Y ), X ) ),
% 226.60/226.98 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 226.60/226.98 , 0, clause( 1320, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 226.60/226.98 X, Y ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) ) ), X ) ] )
% 226.60/226.98 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 226.60/226.98 :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 96760, [ =( multiply( 'least_upper_bound'( identity, multiply( X, Y
% 226.60/226.98 ) ), 'greatest_lower_bound'( inverse( Y ), X ) ), X ) ] )
% 226.60/226.98 , clause( 100029, [ =( multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.98 , Y ) ), 'greatest_lower_bound'( inverse( Y ), X ) ), X ) ] )
% 226.60/226.98 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 226.60/226.98 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 eqswap(
% 226.60/226.98 clause( 100032, [ =( X, multiply( 'least_upper_bound'( identity, multiply(
% 226.60/226.98 X, Y ) ), 'greatest_lower_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , clause( 96760, [ =( multiply( 'least_upper_bound'( identity, multiply( X
% 226.60/226.98 , Y ) ), 'greatest_lower_bound'( inverse( Y ), X ) ), X ) ] )
% 226.60/226.98 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100036, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 226.60/226.98 c ) ), identity ), 'greatest_lower_bound'( inverse( inverse( c ) ), b ) )
% 226.60/226.98 ) ] )
% 226.60/226.98 , clause( 22308, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 226.60/226.98 c ) ) ), 'least_upper_bound'( multiply( a, inverse( c ) ), identity ) ) ]
% 226.60/226.98 )
% 226.60/226.98 , 0, clause( 100032, [ =( X, multiply( 'least_upper_bound'( identity,
% 226.60/226.98 multiply( X, Y ) ), 'greatest_lower_bound'( inverse( Y ), X ) ) ) ] )
% 226.60/226.98 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 226.60/226.98 inverse( c ) )] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100037, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 226.60/226.98 c ) ), identity ), 'greatest_lower_bound'( c, b ) ) ) ] )
% 226.60/226.98 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 100036, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 226.60/226.98 inverse( c ) ), identity ), 'greatest_lower_bound'( inverse( inverse( c )
% 226.60/226.98 ), b ) ) ) ] )
% 226.60/226.98 , 0, 10, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100038, [ =( b, multiply( 'least_upper_bound'( multiply( a, inverse(
% 226.60/226.98 c ) ), identity ), 'greatest_lower_bound'( c, a ) ) ) ] )
% 226.60/226.98 , clause( 35, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 226.60/226.98 c, a ) ) ] )
% 226.60/226.98 , 0, clause( 100037, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 226.60/226.98 inverse( c ) ), identity ), 'greatest_lower_bound'( c, b ) ) ) ] )
% 226.60/226.98 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 paramod(
% 226.60/226.98 clause( 100039, [ =( b, a ) ] )
% 226.60/226.98 , clause( 96734, [ =( multiply( 'least_upper_bound'( multiply( X, inverse(
% 226.60/226.98 Y ) ), identity ), 'greatest_lower_bound'( Y, X ) ), X ) ] )
% 226.60/226.98 , 0, clause( 100038, [ =( b, multiply( 'least_upper_bound'( multiply( a,
% 226.60/226.98 inverse( c ) ), identity ), 'greatest_lower_bound'( c, a ) ) ) ] )
% 226.60/226.98 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 226.60/226.98 ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 99100, [ =( b, a ) ] )
% 226.60/226.98 , clause( 100039, [ =( b, a ) ] )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 resolution(
% 226.60/226.98 clause( 100043, [] )
% 226.60/226.98 , clause( 20, [ ~( =( b, a ) ) ] )
% 226.60/226.98 , 0, clause( 99100, [ =( b, a ) ] )
% 226.60/226.98 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 subsumption(
% 226.60/226.98 clause( 99115, [] )
% 226.60/226.98 , clause( 100043, [] )
% 226.60/226.98 , substitution( 0, [] ), permutation( 0, [] ) ).
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 end.
% 226.60/226.98
% 226.60/226.98 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 226.60/226.98
% 226.60/226.98 Memory use:
% 226.60/226.98
% 226.60/226.98 space for terms: 1431107
% 226.60/226.98 space for clauses: 10241597
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 clauses generated: 53342804
% 226.60/226.98 clauses kept: 99116
% 226.60/226.98 clauses selected: 13695
% 226.60/226.98 clauses deleted: 10438
% 226.60/226.98 clauses inuse deleted: 4684
% 226.60/226.98
% 226.60/226.98 subsentry: 2495072
% 226.60/226.98 literals s-matched: 2492207
% 226.60/226.98 literals matched: 2491888
% 226.60/226.98 full subsumption: 0
% 226.60/226.98
% 226.60/226.98 checksum: -741815835
% 226.60/226.98
% 226.60/226.98
% 226.60/226.98 Bliksem ended
%------------------------------------------------------------------------------