%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP167-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:35:42 EDT 2022
% Result : Unsatisfiable 97.74s 98.15s
% Output : Refutation 97.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP167-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 19:31:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 97.74/98.15 *** allocated 10000 integers for termspace/termends
% 97.74/98.15 *** allocated 10000 integers for clauses
% 97.74/98.15 *** allocated 10000 integers for justifications
% 97.74/98.15 Bliksem 1.12
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Automatic Strategy Selection
% 97.74/98.15
% 97.74/98.15 Clauses:
% 97.74/98.15 [
% 97.74/98.15 [ =( multiply( identity, X ), X ) ],
% 97.74/98.15 [ =( multiply( inverse( X ), X ), identity ) ],
% 97.74/98.15 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 97.74/98.15 ],
% 97.74/98.15 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 97.74/98.15 ,
% 97.74/98.15 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 97.74/98.15 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 97.74/98.15 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 97.74/98.15 [ =( 'least_upper_bound'( X, X ), X ) ],
% 97.74/98.15 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 97.74/98.15 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 97.74/98.15 ,
% 97.74/98.15 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 97.74/98.15 ,
% 97.74/98.15 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 97.74/98.15 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 97.74/98.15 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 97.74/98.15 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 97.74/98.15 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 97.74/98.15 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 97.74/98.15 [ =( inverse( identity ), identity ) ],
% 97.74/98.15 [ =( inverse( inverse( X ) ), X ) ],
% 97.74/98.15 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 97.74/98.15 ) ],
% 97.74/98.15 [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ]
% 97.74/98.15 ] .
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 percentage equality = 1.000000, percentage horn = 1.000000
% 97.74/98.15 This is a pure equality problem
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Options Used:
% 97.74/98.15
% 97.74/98.15 useres = 1
% 97.74/98.15 useparamod = 1
% 97.74/98.15 useeqrefl = 1
% 97.74/98.15 useeqfact = 1
% 97.74/98.15 usefactor = 1
% 97.74/98.15 usesimpsplitting = 0
% 97.74/98.15 usesimpdemod = 5
% 97.74/98.15 usesimpres = 3
% 97.74/98.15
% 97.74/98.15 resimpinuse = 1000
% 97.74/98.15 resimpclauses = 20000
% 97.74/98.15 substype = eqrewr
% 97.74/98.15 backwardsubs = 1
% 97.74/98.15 selectoldest = 5
% 97.74/98.15
% 97.74/98.15 litorderings [0] = split
% 97.74/98.15 litorderings [1] = extend the termordering, first sorting on arguments
% 97.74/98.15
% 97.74/98.15 termordering = kbo
% 97.74/98.15
% 97.74/98.15 litapriori = 0
% 97.74/98.15 termapriori = 1
% 97.74/98.15 litaposteriori = 0
% 97.74/98.15 termaposteriori = 0
% 97.74/98.15 demodaposteriori = 0
% 97.74/98.15 ordereqreflfact = 0
% 97.74/98.15
% 97.74/98.15 litselect = negord
% 97.74/98.15
% 97.74/98.15 maxweight = 15
% 97.74/98.15 maxdepth = 30000
% 97.74/98.15 maxlength = 115
% 97.74/98.15 maxnrvars = 195
% 97.74/98.15 excuselevel = 1
% 97.74/98.15 increasemaxweight = 1
% 97.74/98.15
% 97.74/98.15 maxselected = 10000000
% 97.74/98.15 maxnrclauses = 10000000
% 97.74/98.15
% 97.74/98.15 showgenerated = 0
% 97.74/98.15 showkept = 0
% 97.74/98.15 showselected = 0
% 97.74/98.15 showdeleted = 0
% 97.74/98.15 showresimp = 1
% 97.74/98.15 showstatus = 2000
% 97.74/98.15
% 97.74/98.15 prologoutput = 1
% 97.74/98.15 nrgoals = 5000000
% 97.74/98.15 totalproof = 1
% 97.74/98.15
% 97.74/98.15 Symbols occurring in the translation:
% 97.74/98.15
% 97.74/98.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 97.74/98.15 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 97.74/98.15 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 97.74/98.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 97.74/98.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 97.74/98.15 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 97.74/98.15 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 97.74/98.15 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 97.74/98.15 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 97.74/98.15 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 97.74/98.15 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Starting Search:
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 24005
% 97.74/98.15 Kept: 2004
% 97.74/98.15 Inuse: 195
% 97.74/98.15 Deleted: 11
% 97.74/98.15 Deletedinuse: 3
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 87977
% 97.74/98.15 Kept: 4009
% 97.74/98.15 Inuse: 425
% 97.74/98.15 Deleted: 27
% 97.74/98.15 Deletedinuse: 3
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 175825
% 97.74/98.15 Kept: 6011
% 97.74/98.15 Inuse: 641
% 97.74/98.15 Deleted: 46
% 97.74/98.15 Deletedinuse: 3
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 315441
% 97.74/98.15 Kept: 8022
% 97.74/98.15 Inuse: 828
% 97.74/98.15 Deleted: 126
% 97.74/98.15 Deletedinuse: 77
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 686533
% 97.74/98.15 Kept: 10026
% 97.74/98.15 Inuse: 1161
% 97.74/98.15 Deleted: 182
% 97.74/98.15 Deletedinuse: 77
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 1755455
% 97.74/98.15 Kept: 12026
% 97.74/98.15 Inuse: 1720
% 97.74/98.15 Deleted: 269
% 97.74/98.15 Deletedinuse: 77
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 2020540
% 97.74/98.15 Kept: 14078
% 97.74/98.15 Inuse: 1877
% 97.74/98.15 Deleted: 303
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 2104799
% 97.74/98.15 Kept: 16137
% 97.74/98.15 Inuse: 1925
% 97.74/98.15 Deleted: 307
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 2239862
% 97.74/98.15 Kept: 18145
% 97.74/98.15 Inuse: 1983
% 97.74/98.15 Deleted: 307
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying clauses:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 2450842
% 97.74/98.15 Kept: 20148
% 97.74/98.15 Inuse: 2062
% 97.74/98.15 Deleted: 2179
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 2751384
% 97.74/98.15 Kept: 22154
% 97.74/98.15 Inuse: 2177
% 97.74/98.15 Deleted: 2179
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 3153638
% 97.74/98.15 Kept: 24164
% 97.74/98.15 Inuse: 2321
% 97.74/98.15 Deleted: 2179
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 3825520
% 97.74/98.15 Kept: 26166
% 97.74/98.15 Inuse: 2586
% 97.74/98.15 Deleted: 2183
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 4715445
% 97.74/98.15 Kept: 28178
% 97.74/98.15 Inuse: 2904
% 97.74/98.15 Deleted: 2183
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 6046293
% 97.74/98.15 Kept: 30179
% 97.74/98.15 Inuse: 3279
% 97.74/98.15 Deleted: 2212
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 8977450
% 97.74/98.15 Kept: 32180
% 97.74/98.15 Inuse: 3863
% 97.74/98.15 Deleted: 2212
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 13905728
% 97.74/98.15 Kept: 34186
% 97.74/98.15 Inuse: 4948
% 97.74/98.15 Deleted: 2247
% 97.74/98.15 Deletedinuse: 78
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 17283514
% 97.74/98.15 Kept: 36187
% 97.74/98.15 Inuse: 5603
% 97.74/98.15 Deleted: 2410
% 97.74/98.15 Deletedinuse: 220
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Intermediate Status:
% 97.74/98.15 Generated: 24916488
% 97.74/98.15 Kept: 38189
% 97.74/98.15 Inuse: 6600
% 97.74/98.15 Deleted: 2467
% 97.74/98.15 Deletedinuse: 251
% 97.74/98.15
% 97.74/98.15 Resimplifying inuse:
% 97.74/98.15 Done
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 Bliksems!, er is een bewijs:
% 97.74/98.15 % SZS status Unsatisfiable
% 97.74/98.15 % SZS output start Refutation
% 97.74/98.15
% 97.74/98.15 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 97.74/98.15 , Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 97.74/98.15 X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 97.74/98.15 ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 97.74/98.15 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 97.74/98.15 ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 97.74/98.15 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 97.74/98.15 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 97.74/98.15 identity ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 97.74/98.15 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 97.74/98.15 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 97.74/98.15 'least_upper_bound'( Y, Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 97.74/98.15 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 97.74/98.15 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 79, [ ~( =( multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 97.74/98.15 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 115, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 97.74/98.15 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 118, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 97.74/98.15 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 120, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.15 'least_upper_bound'( identity, Y ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 121, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.15 'least_upper_bound'( Y, identity ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 155, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 159, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 97.74/98.15 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 160, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.15 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 161, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.15 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.15 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 97.74/98.15 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 182, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 183, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 97.74/98.15 Y ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 97.74/98.15 ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 186, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 97.74/98.15 ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 187, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 97.74/98.15 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 97.74/98.15 ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 190, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 97.74/98.15 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 207, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 222, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 286, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 307, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ), identity ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 438, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.15 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 474, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 97.74/98.15 identity, Y ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 477, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 97.74/98.15 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 483, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 97.74/98.15 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 486, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 97.74/98.15 Y, identity ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 501, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 523, [ =( 'least_upper_bound'( X, multiply( X,
% 97.74/98.15 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 532, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.15 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 549, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.15 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 97.74/98.15 ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 604, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.15 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 605, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 97.74/98.15 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 628, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 97.74/98.15 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 649, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 97.74/98.15 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 755, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 97.74/98.15 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 784, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 786, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 97.74/98.15 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 863, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 97.74/98.15 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 915, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 97.74/98.15 'greatest_lower_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1010, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1014, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 97.74/98.15 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 97.74/98.15 )
% 97.74/98.15 .
% 97.74/98.15 clause( 1029, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1240, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 97.74/98.15 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1295, [ ~( =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 97.74/98.15 identity, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1316, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 97.74/98.15 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 1742, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.15 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 97.74/98.15 ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2119, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.15 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2131, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 97.74/98.15 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2609, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 97.74/98.15 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 97.74/98.15 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2646, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 97.74/98.15 a, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2649, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 97.74/98.15 a, a ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2660, [ ~( =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 97.74/98.15 a, identity ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2663, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.15 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ), a ) )
% 97.74/98.15 ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2665, [ ~( =( multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.15 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2669, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.15 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 2687, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.15 'least_upper_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3370, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 97.74/98.15 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 97.74/98.15 ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3802, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.15 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3828, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.15 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3920, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.15 inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3944, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.15 identity, inverse( X ) ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3951, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.15 identity, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 3971, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.15 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 4776, [ =( multiply( Y, inverse( 'greatest_lower_bound'( multiply(
% 97.74/98.15 X, Y ), identity ) ) ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5045, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.15 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5065, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 97.74/98.15 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.15 ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5068, [ =( 'greatest_lower_bound'( inverse( Y ), inverse(
% 97.74/98.15 'greatest_lower_bound'( Y, X ) ) ), inverse( Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5097, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.15 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5111, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.15 inverse( X ), Y ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5131, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.15 Y, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5156, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.15 Y, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5184, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 97.74/98.15 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5197, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.15 inverse( Y ), X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5208, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 97.74/98.15 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5234, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 97.74/98.15 inverse( X ) ) ), X ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 5245, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 97.74/98.15 , inverse( Y ) ) ) ), Y ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 12442, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 97.74/98.15 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 12459, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 97.74/98.15 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 38865, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.15 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.15 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 38884, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 97.74/98.15 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 38990, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.15 'least_upper_bound'( identity, X ) ), X ) ] )
% 97.74/98.15 .
% 97.74/98.15 clause( 39051, [] )
% 97.74/98.15 .
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 % SZS output end Refutation
% 97.74/98.15 found a proof!
% 97.74/98.15
% 97.74/98.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 97.74/98.15
% 97.74/98.15 initialclauses(
% 97.74/98.15 [ clause( 39053, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , clause( 39054, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , clause( 39055, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 97.74/98.15 multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39056, [ =( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.15 , clause( 39057, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 97.74/98.15 X ) ) ] )
% 97.74/98.15 , clause( 39058, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 97.74/98.15 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 97.74/98.15 )
% 97.74/98.15 , clause( 39059, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 97.74/98.15 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39060, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 97.74/98.15 , clause( 39061, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 97.74/98.15 , clause( 39062, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , clause( 39063, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , clause( 39064, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 39065, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 39066, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39067, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39068, [ =( inverse( identity ), identity ) ] )
% 97.74/98.15 , clause( 39069, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , clause( 39070, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 97.74/98.15 inverse( X ) ) ) ] )
% 97.74/98.15 , clause( 39071, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 ] ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , clause( 39053, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , clause( 39054, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39077, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 97.74/98.15 , Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39055, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 97.74/98.15 multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 97.74/98.15 , Z ) ) ] )
% 97.74/98.15 , clause( 39077, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 97.74/98.15 X, Y ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 97.74/98.15 X ) ) ] )
% 97.74/98.15 , clause( 39056, [ =( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 97.74/98.15 ] )
% 97.74/98.15 , clause( 39057, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 97.74/98.15 X ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 97.74/98.15 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39058, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 97.74/98.15 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 97.74/98.15 )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39059, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 97.74/98.15 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 97.74/98.15 ) ] )
% 97.74/98.15 , clause( 39062, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39063, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39119, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39064, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 97.74/98.15 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39119, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 97.74/98.15 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39130, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 97.74/98.15 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39065, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 39130, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 97.74/98.15 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39142, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39066, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 97.74/98.15 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39142, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39155, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 97.74/98.15 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39067, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , clause( 39155, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 97.74/98.15 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , clause( 39069, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39186, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 97.74/98.15 multiply( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 39070, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 97.74/98.15 inverse( X ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , clause( 39186, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 97.74/98.15 multiply( X, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39203, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , clause( 39071, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , clause( 39203, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39205, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.15 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39206, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 97.74/98.15 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , 0, clause( 39205, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.15 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.15 X ) )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39207, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 , clause( 39206, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 , clause( 39207, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39208, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39209, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , 0, clause( 39208, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 97.74/98.15 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39212, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39209, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 97.74/98.15 ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39212, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 X ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39213, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39214, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39213, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39217, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39214, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 97.74/98.15 , X ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39217, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39219, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 97.74/98.15 Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 97.74/98.15 ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39222, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 97.74/98.15 , identity ) ) ] )
% 97.74/98.15 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 , 0, clause( 39219, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 97.74/98.15 multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 97.74/98.15 identity ) ) ] )
% 97.74/98.15 , clause( 39222, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 97.74/98.15 X, identity ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39226, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39227, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39226, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 97.74/98.15 , Y ), X ) ) ] )
% 97.74/98.15 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39230, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39227, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 97.74/98.15 ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39230, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 97.74/98.15 X ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39232, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39235, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 97.74/98.15 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, clause( 39232, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 97.74/98.15 Y, X ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39236, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 97.74/98.15 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39235, [ =( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 97.74/98.15 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39236, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 97.74/98.15 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39238, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39241, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'least_upper_bound'( X, Y ), X ) ) ] )
% 97.74/98.15 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, clause( 39238, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39242, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39241, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'least_upper_bound'( X, Y ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39242, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 97.74/98.15 , 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39243, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39244, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , 0, clause( 39243, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39247, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39244, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 97.74/98.15 , X ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39247, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 97.74/98.15 ) ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39248, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39249, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39248, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.15 X, Y ) ) ) ] )
% 97.74/98.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 97.74/98.15 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39252, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39249, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 97.74/98.15 ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39252, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 X ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39254, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39255, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 97.74/98.15 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 97.74/98.15 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39254, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.15 Y, X ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 97.74/98.15 ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39256, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39255, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 97.74/98.15 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.15 , clause( 39256, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39257, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39258, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39257, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.15 Y, X ) ) ) ] )
% 97.74/98.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 97.74/98.15 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39261, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 97.74/98.15 ), X ) ] )
% 97.74/98.15 , clause( 39258, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 97.74/98.15 ), X ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 97.74/98.15 X ) ] )
% 97.74/98.15 , clause( 39261, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.15 X ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39263, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 97.74/98.15 , Y ) ) ] )
% 97.74/98.15 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39264, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 97.74/98.15 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39263, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 97.74/98.15 , Y ), Y ) ) ] )
% 97.74/98.15 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 97.74/98.15 ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39265, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39264, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.15 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.15 , clause( 39265, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.15 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39267, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 97.74/98.15 ) ) ) ] )
% 97.74/98.15 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 97.74/98.15 , X ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39268, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.15 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 97.74/98.15 , X ), Y ) ) ) ] )
% 97.74/98.15 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39267, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 97.74/98.15 Y, X ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 97.74/98.15 ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39269, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 , clause( 39268, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.15 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 97.74/98.15 , X ), Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 97.74/98.15 'least_upper_bound'( Y, Z ) ) ] )
% 97.74/98.15 , clause( 39269, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 97.74/98.15 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39270, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39273, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39270, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 97.74/98.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 97.74/98.15 , clause( 39273, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 97.74/98.15 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39287, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39292, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39287, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39305, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 97.74/98.15 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39292, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.15 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X ),
% 97.74/98.15 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 , clause( 39305, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 97.74/98.15 , 'least_upper_bound'( 'least_upper_bound'( X, Z ), Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39306, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39308, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39306, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39310, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 97.74/98.15 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, clause( 39308, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 97.74/98.15 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 39310, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 97.74/98.15 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39312, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39314, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 97.74/98.15 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 97.74/98.15 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , 0, clause( 39312, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.15 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39317, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 97.74/98.15 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 39314, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 97.74/98.15 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 97.74/98.15 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 39317, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 97.74/98.15 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39319, [ ~( =( a, multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 , clause( 18, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39320, [ ~( =( a, multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39319, [ ~( =( a, multiply( 'least_upper_bound'( a, identity )
% 97.74/98.15 , 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 97.74/98.15 1, [] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39323, [ ~( =( multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , clause( 39320, [ ~( =( a, multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 79, [ ~( =( multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , clause( 39323, [ ~( =( multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.15 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39324, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 97.74/98.15 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39326, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , 0, clause( 39324, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39328, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 97.74/98.15 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 97.74/98.15 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, clause( 39326, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.15 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 97.74/98.15 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 39328, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39329, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39331, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , 0, clause( 39329, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39333, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 97.74/98.15 'least_upper_bound'( Y, X ), Z ) ) ] )
% 97.74/98.15 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39331, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 97.74/98.15 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 115, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 97.74/98.15 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 , clause( 39333, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 97.74/98.15 'least_upper_bound'( Y, X ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39335, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39336, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 97.74/98.15 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 97.74/98.15 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , 0, clause( 39335, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.15 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 118, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 97.74/98.15 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 97.74/98.15 , clause( 39336, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X )
% 97.74/98.15 , 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39341, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39342, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 97.74/98.15 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , 0, clause( 39341, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 97.74/98.15 identity ), :=( Y, Y ), :=( Z, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39344, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 97.74/98.15 'least_upper_bound'( identity, X ), Y ) ) ] )
% 97.74/98.15 , clause( 39342, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 97.74/98.15 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 120, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.15 'least_upper_bound'( identity, Y ), X ) ) ] )
% 97.74/98.15 , clause( 39344, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 97.74/98.15 'least_upper_bound'( identity, X ), Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39347, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.15 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39349, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.15 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , 0, clause( 39347, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, Y ), :=( Z, identity )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39351, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 97.74/98.15 'least_upper_bound'( X, identity ), Y ) ) ] )
% 97.74/98.15 , clause( 39349, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 121, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.15 'least_upper_bound'( Y, identity ), X ) ) ] )
% 97.74/98.15 , clause( 39351, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 97.74/98.15 'least_upper_bound'( X, identity ), Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39352, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39354, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 97.74/98.15 , X ) ) ] )
% 97.74/98.15 , 0, clause( 39352, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39356, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 97.74/98.15 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.15 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, clause( 39354, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 97.74/98.15 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 155, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 97.74/98.15 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 97.74/98.15 , clause( 39356, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 97.74/98.15 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39358, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39360, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ), Y
% 97.74/98.15 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 97.74/98.15 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.15 , 0, clause( 39358, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 159, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X )
% 97.74/98.15 , 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 97.74/98.15 , clause( 39360, [ =( multiply( 'greatest_lower_bound'( X, inverse( Y ) ),
% 97.74/98.15 Y ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39364, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39365, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 97.74/98.15 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , 0, clause( 39364, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 97.74/98.15 identity ), :=( Y, Y ), :=( Z, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39367, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 97.74/98.15 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 97.74/98.15 , clause( 39365, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 97.74/98.15 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 160, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.15 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 97.74/98.15 , clause( 39367, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 97.74/98.15 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39370, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 97.74/98.15 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39372, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.15 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , 0, clause( 39370, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.15 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, Y ), :=( Z, identity )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39374, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 97.74/98.15 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 97.74/98.15 , clause( 39372, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 97.74/98.15 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 161, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.15 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 97.74/98.15 , clause( 39374, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 97.74/98.15 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39376, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 97.74/98.15 , identity ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39379, [ =( multiply( X, identity ), multiply( identity, inverse(
% 97.74/98.15 inverse( X ) ) ) ) ] )
% 97.74/98.15 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 97.74/98.15 , 0, clause( 39376, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 97.74/98.15 ), inverse( Y ) ) ) ] )
% 97.74/98.15 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, inverse( X ) )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39380, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 97.74/98.15 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.15 , 0, clause( 39379, [ =( multiply( X, identity ), multiply( identity,
% 97.74/98.15 inverse( inverse( X ) ) ) ) ] )
% 97.74/98.15 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 97.74/98.15 substitution( 1, [ :=( X, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39381, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , 0, clause( 39380, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 97.74/98.15 ] )
% 97.74/98.15 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.15 ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , clause( 39381, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39384, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 97.74/98.15 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39385, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 97.74/98.15 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , 0, clause( 39384, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.15 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, identity ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39387, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.15 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , clause( 39385, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 97.74/98.15 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.15 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , clause( 39387, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 97.74/98.15 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39390, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.15 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39391, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.15 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , 0, clause( 39390, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.15 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.15 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, identity ), :=( Z, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39393, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.15 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , clause( 39391, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.15 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 97.74/98.15 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , clause( 39393, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.15 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39396, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 97.74/98.15 multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39397, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 97.74/98.15 inverse( X ) ) ) ] )
% 97.74/98.15 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , 0, clause( 39396, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 97.74/98.15 ), inverse( Y ) ) ) ] )
% 97.74/98.15 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.15 Y ) ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 182, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 , clause( 39397, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 97.74/98.15 inverse( X ) ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39402, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 97.74/98.15 multiply( X, Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39404, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 97.74/98.15 inverse( Y ), X ) ) ] )
% 97.74/98.15 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.15 , 0, clause( 39402, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 97.74/98.15 ), inverse( Y ) ) ) ] )
% 97.74/98.15 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 97.74/98.15 :=( Y, inverse( X ) )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 183, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 97.74/98.15 Y ), X ) ) ] )
% 97.74/98.15 , clause( 39404, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 97.74/98.15 inverse( Y ), X ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39408, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 97.74/98.15 inverse( Y ) ) ) ) ] )
% 97.74/98.15 , clause( 182, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 97.74/98.15 inverse( Y ) ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39414, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 97.74/98.15 multiply( Y, identity ) ) ) ] )
% 97.74/98.15 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 97.74/98.15 , identity ) ) ] )
% 97.74/98.15 , 0, clause( 39408, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 97.74/98.15 , inverse( Y ) ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.15 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39415, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 97.74/98.15 ) ) ] )
% 97.74/98.15 , clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.15 , 0, clause( 39414, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 97.74/98.15 inverse( multiply( Y, identity ) ) ) ] )
% 97.74/98.15 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.15 :=( Y, Y )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 subsumption(
% 97.74/98.15 clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 97.74/98.15 ) ] )
% 97.74/98.15 , clause( 39415, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 97.74/98.15 Y ) ) ] )
% 97.74/98.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.15 )] ) ).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 eqswap(
% 97.74/98.15 clause( 39417, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.15 ) ) ] )
% 97.74/98.15 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.15 ) ) ] )
% 97.74/98.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.15
% 97.74/98.15
% 97.74/98.15 paramod(
% 97.74/98.15 clause( 39422, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 97.74/98.15 inverse( inverse( Y ) ) ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39417, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39423, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 97.74/98.16 Y, X ) ) ) ) ] )
% 97.74/98.16 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 97.74/98.16 multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39422, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 97.74/98.16 ), inverse( inverse( Y ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 97.74/98.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39424, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 183, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 97.74/98.16 inverse( Y ), X ) ) ] )
% 97.74/98.16 , 0, clause( 39423, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 97.74/98.16 multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39425, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39424, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 97.74/98.16 Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 186, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 39425, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 97.74/98.16 X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39427, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.16 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.16 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 97.74/98.16 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39428, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 97.74/98.16 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39427, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.16 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 187, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply( Y
% 97.74/98.16 , X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 39428, [ =( multiply( X, 'greatest_lower_bound'( inverse(
% 97.74/98.16 multiply( Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply(
% 97.74/98.16 X, Z ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39433, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.16 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 97.74/98.16 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39435, [ =( multiply( X, 'least_upper_bound'( Y, inverse( multiply(
% 97.74/98.16 Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39433, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 97.74/98.16 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 190, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 97.74/98.16 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 97.74/98.16 , clause( 39435, [ =( multiply( X, 'least_upper_bound'( Y, inverse(
% 97.74/98.16 multiply( Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39438, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39441, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 97.74/98.16 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 97.74/98.16 , clause( 155, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 97.74/98.16 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 97.74/98.16 , 0, clause( 39438, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.16 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39444, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39441, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.16 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 97.74/98.16 ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 97.74/98.16 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 207, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39444, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39445, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39446, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 97.74/98.16 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 207, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39445, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39449, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 97.74/98.16 , clause( 39446, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 97.74/98.16 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 222, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 97.74/98.16 , clause( 39449, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39450, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39453, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 97.74/98.16 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 97.74/98.16 , clause( 115, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 97.74/98.16 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.16 , 0, clause( 39450, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 97.74/98.16 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39456, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 97.74/98.16 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39453, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 97.74/98.16 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 97.74/98.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 286, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39456, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 97.74/98.16 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39457, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39458, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 97.74/98.16 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 286, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39457, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39461, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 97.74/98.16 'least_upper_bound'( Y, X ) ), identity ) ] )
% 97.74/98.16 , clause( 39458, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 97.74/98.16 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 307, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ), identity ) ] )
% 97.74/98.16 , clause( 39461, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 97.74/98.16 'least_upper_bound'( Y, X ) ), identity ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39462, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 97.74/98.16 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39463, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , clause( 39462, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 97.74/98.16 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.16 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 438, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , clause( 39463, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 97.74/98.16 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39466, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 97.74/98.16 , X ) ) ] )
% 97.74/98.16 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39467, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 97.74/98.16 , clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39466, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 97.74/98.16 , Y ), X ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39468, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39467, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 474, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 97.74/98.16 identity, Y ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39468, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39470, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 97.74/98.16 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39472, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 97.74/98.16 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, clause( 39470, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 97.74/98.16 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 97.74/98.16 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39473, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.16 , 0, clause( 39472, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 97.74/98.16 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39474, [ =( 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39473, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 477, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 97.74/98.16 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 97.74/98.16 , clause( 39474, [ =( 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39476, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 97.74/98.16 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 169, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39480, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.16 , 0, clause( 39476, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 97.74/98.16 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 inverse( X ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 483, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 97.74/98.16 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , clause( 39480, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39483, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 97.74/98.16 , clause( 474, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39484, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 97.74/98.16 , clause( 86, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39483, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39487, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39484, [ =( X, 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 486, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 97.74/98.16 Y, identity ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39487, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39489, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 97.74/98.16 , clause( 42, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 97.74/98.16 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 97.74/98.16 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39492, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, clause( 39489, [ =( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39498, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.16 , clause( 39492, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 501, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.16 , clause( 39498, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39501, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), X ) ) ] )
% 97.74/98.16 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39503, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 97.74/98.16 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 486, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 97.74/98.16 , 0, clause( 39501, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), X ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39504, [ =( X, 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 486, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 97.74/98.16 , 0, clause( 39503, [ =( 'least_upper_bound'( multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 97.74/98.16 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39506, [ =( 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39504, [ =( X, 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 523, [ =( 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39506, [ =( 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39509, [ =( X, 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 523, [ =( 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39510, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 identity ) ) ] )
% 97.74/98.16 , clause( 222, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 97.74/98.16 , 0, clause( 39509, [ =( X, 'least_upper_bound'( X, multiply( X,
% 97.74/98.16 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 97.74/98.16 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 97.74/98.16 ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39511, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 39510, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 identity ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 532, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 39511, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39513, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 477, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 97.74/98.16 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39514, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 97.74/98.16 identity ) ) ] )
% 97.74/98.16 , clause( 307, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ), identity ) ] )
% 97.74/98.16 , 0, clause( 39513, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 97.74/98.16 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 97.74/98.16 , :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39515, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39514, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 97.74/98.16 identity ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 549, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39515, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39518, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , clause( 501, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.16 , 0, clause( 58, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, Y ), X )
% 97.74/98.16 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ) ] )
% 97.74/98.16 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, Z ), :=( Z,
% 97.74/98.16 'greatest_lower_bound'( X, Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 604, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , clause( 39518, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39520, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , clause( 57, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39523, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , clause( 501, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.16 , 0, clause( 39520, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 97.74/98.16 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y, 'greatest_lower_bound'( X
% 97.74/98.16 , Y ) ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39524, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 97.74/98.16 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , clause( 604, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, clause( 39523, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 605, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z )
% 97.74/98.16 , 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , clause( 39524, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 Z ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39525, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 97.74/98.16 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 605, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 97.74/98.16 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 97.74/98.16 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 628, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z )
% 97.74/98.16 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39525, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.16 Z ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39529, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 97.74/98.16 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , clause( 628, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 97.74/98.16 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39532, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 97.74/98.16 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, clause( 39529, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y
% 97.74/98.16 , X ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z, Y ) ), :=( Y,
% 97.74/98.16 X )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 649, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 97.74/98.16 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39532, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 97.74/98.16 ) ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39535, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39536, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , clause( 39535, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 97.74/98.16 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 755, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 97.74/98.16 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , clause( 39536, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39538, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39540, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 97.74/98.16 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, clause( 39538, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 97.74/98.16 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 784, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 97.74/98.16 , clause( 39540, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39548, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39552, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 97.74/98.16 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 97.74/98.16 , 0, clause( 39548, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 97.74/98.16 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 inverse( X ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 786, [ =( multiply( inverse( X ), 'least_upper_bound'( identity, X
% 97.74/98.16 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , clause( 39552, [ =( multiply( inverse( X ), 'least_upper_bound'( identity
% 97.74/98.16 , X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39555, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 97.74/98.16 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 160, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39576, [ =( multiply( 'greatest_lower_bound'( identity, X ), X ),
% 97.74/98.16 multiply( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 97.74/98.16 , clause( 438, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 97.74/98.16 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , 0, clause( 39555, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 97.74/98.16 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39578, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 97.74/98.16 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 97.74/98.16 , clause( 39576, [ =( multiply( 'greatest_lower_bound'( identity, X ), X )
% 97.74/98.16 , multiply( X, 'greatest_lower_bound'( X, identity ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 863, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 97.74/98.16 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 97.74/98.16 , clause( 39578, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) )
% 97.74/98.16 , multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39579, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 97.74/98.16 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 160, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39581, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 97.74/98.16 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 97.74/98.16 , X ) ) ] )
% 97.74/98.16 , 0, clause( 39579, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 97.74/98.16 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 915, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 97.74/98.16 'greatest_lower_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.16 , clause( 39581, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 97.74/98.16 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39590, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 97.74/98.16 , clause( 168, [ =( multiply( X, identity ), X ) ] )
% 97.74/98.16 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 97.74/98.16 Y, identity ) ) ] )
% 97.74/98.16 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 97.74/98.16 :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1010, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 97.74/98.16 , clause( 39590, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39593, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.16 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 97.74/98.16 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39595, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 97.74/98.16 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 1010, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 97.74/98.16 , 0, clause( 39593, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 97.74/98.16 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1014, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 97.74/98.16 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 39595, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 97.74/98.16 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 97.74/98.16 ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 97.74/98.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39599, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 97.74/98.16 , X ), Y ) ) ) ] )
% 97.74/98.16 , clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 97.74/98.16 'least_upper_bound'( Y, Z ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39602, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, clause( 39599, [ =( 'least_upper_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39608, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.16 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , clause( 39602, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1029, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 97.74/98.16 , clause( 39608, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 97.74/98.16 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39610, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 97.74/98.16 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 120, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 97.74/98.16 'least_upper_bound'( identity, Y ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39612, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, clause( 39610, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 97.74/98.16 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1240, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 97.74/98.16 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.16 , clause( 39612, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39620, [ ~( =( a, multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.16 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 79, [ ~( =( multiply( 'least_upper_bound'( identity, a ),
% 97.74/98.16 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39622, [ ~( =( a, 'least_upper_bound'( multiply( a,
% 97.74/98.16 'greatest_lower_bound'( a, identity ) ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , clause( 1240, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 97.74/98.16 'least_upper_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.16 , 0, clause( 39620, [ ~( =( a, multiply( 'least_upper_bound'( identity, a )
% 97.74/98.16 , 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, identity ) ),
% 97.74/98.16 :=( Y, a )] ), substitution( 1, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39623, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , clause( 863, [ =( multiply( X, 'greatest_lower_bound'( X, identity ) ),
% 97.74/98.16 multiply( 'greatest_lower_bound'( identity, X ), X ) ) ] )
% 97.74/98.16 , 0, clause( 39622, [ ~( =( a, 'least_upper_bound'( multiply( a,
% 97.74/98.16 'greatest_lower_bound'( a, identity ) ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39624, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39623, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1295, [ ~( =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 97.74/98.16 identity, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39624, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ), a ) ) ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39625, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , clause( 121, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.16 'least_upper_bound'( Y, identity ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39626, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 186, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39627, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 97.74/98.16 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , clause( 39625, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , 0, clause( 39626, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 97.74/98.16 ), X ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39628, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 97.74/98.16 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39627, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 97.74/98.16 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1316, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 97.74/98.16 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 97.74/98.16 , clause( 39628, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 97.74/98.16 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39629, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 97.74/98.16 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 97.74/98.16 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 97.74/98.16 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39630, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 97.74/98.16 , clause( 1010, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39631, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 97.74/98.16 ] )
% 97.74/98.16 , clause( 39629, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 97.74/98.16 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39630, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39632, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39631, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 97.74/98.16 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 1742, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39632, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39634, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39636, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 97.74/98.16 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 786, [ =( multiply( inverse( X ), 'least_upper_bound'( identity,
% 97.74/98.16 X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , 0, clause( 39634, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39637, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 97.74/98.16 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39636, [ =( inverse( inverse( X ) ), multiply(
% 97.74/98.16 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 97.74/98.16 X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39638, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39637, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 97.74/98.16 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2119, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39638, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39640, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39642, [ =( inverse( inverse( X ) ), multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 483, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 97.74/98.16 , 0, clause( 39640, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39643, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39642, [ =( inverse( inverse( X ) ), multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39644, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39643, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2131, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39644, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39646, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 97.74/98.16 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.16 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 97.74/98.16 'greatest_lower_bound'( Y, Z ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39649, [ =( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 549, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39646, [ =( 'greatest_lower_bound'( Y, Z ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 97.74/98.16 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39654, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , clause( 39649, [ =( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2609, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 97.74/98.16 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 97.74/98.16 , clause( 39654, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39656, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , clause( 1295, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39657, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 915, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 97.74/98.16 'greatest_lower_bound'( multiply( Y, X ), X ) ) ] )
% 97.74/98.16 , 0, clause( 39656, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( identity, a ), a ), 'greatest_lower_bound'( a,
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39658, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 39657, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2646, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 97.74/98.16 a, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39658, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39659, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2646, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39660, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 649, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 97.74/98.16 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39659, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, a ), :=( Z,
% 97.74/98.16 'greatest_lower_bound'( multiply( a, a ), a ) )] ), substitution( 1, [] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39663, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 39660, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2649, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 97.74/98.16 a, a ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , clause( 39663, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39665, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 2649, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39666, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 161, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.16 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 97.74/98.16 , 0, clause( 39665, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 multiply( a, a ), a ), 'greatest_lower_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39667, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ), a ) ) ] )
% 97.74/98.16 , clause( 39666, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2660, [ ~( =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 97.74/98.16 a, identity ), a ), 'greatest_lower_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , clause( 39667, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ), a ) ) ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39668, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 97.74/98.16 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , clause( 628, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), Z
% 97.74/98.16 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39669, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 2660, [ ~( =( 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39670, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 39668, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 97.74/98.16 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, clause( 39669, [ ~( =( a, 'least_upper_bound'( multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ), 'greatest_lower_bound'(
% 97.74/98.16 identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, identity ), :=( Z, multiply(
% 97.74/98.16 'greatest_lower_bound'( a, identity ), a ) )] ), substitution( 1, [] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39671, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ), a ) )
% 97.74/98.16 ] )
% 97.74/98.16 , clause( 39670, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'( a
% 97.74/98.16 , identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ) ) )
% 97.74/98.16 ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2663, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ), a ) )
% 97.74/98.16 ] )
% 97.74/98.16 , clause( 39671, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ), a ) )
% 97.74/98.16 ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39673, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 2663, [ ~( =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ), a ) )
% 97.74/98.16 ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39674, [ ~( =( a, multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 755, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 97.74/98.16 , 0, clause( 39673, [ ~( =( a, 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 a, identity ), multiply( 'greatest_lower_bound'( a, identity ), a ) ) ) )
% 97.74/98.16 ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, identity ) ),
% 97.74/98.16 :=( Y, a )] ), substitution( 1, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39675, [ ~( =( multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39674, [ ~( =( a, multiply( 'greatest_lower_bound'( a, identity )
% 97.74/98.16 , 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2665, [ ~( =( multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39675, [ ~( =( multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39676, [ ~( =( a, multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2665, [ ~( =( multiply( 'greatest_lower_bound'( a, identity ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39677, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 155, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 97.74/98.16 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 97.74/98.16 , 0, clause( 39676, [ ~( =( a, multiply( 'greatest_lower_bound'( a,
% 97.74/98.16 identity ), 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, 'least_upper_bound'( a,
% 97.74/98.16 identity ) ), :=( Z, identity )] ), substitution( 1, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39680, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39677, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a )
% 97.74/98.16 , 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2669, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , clause( 39680, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39681, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2669, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( a, identity ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39682, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 70, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39681, [ ~( =( a, multiply( 'greatest_lower_bound'( identity,
% 97.74/98.16 a ), 'least_upper_bound'( a, identity ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, a ) ),
% 97.74/98.16 :=( Y, a ), :=( Z, identity )] ), substitution( 1, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39685, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , clause( 39682, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a )
% 97.74/98.16 , 'least_upper_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 2687, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , clause( 39685, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39687, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39690, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 97.74/98.16 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 118, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 97.74/98.16 , 0, clause( 39687, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( X ), Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39691, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 39690, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 97.74/98.16 multiply( X, inverse( 'least_upper_bound'( identity, multiply( Y, X ) ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3370, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , clause( 39691, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39693, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 97.74/98.16 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , clause( 161, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.16 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39698, [ =( multiply( 'greatest_lower_bound'(
% 97.74/98.16 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 97.74/98.16 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2131, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39693, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 97.74/98.16 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39699, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 97.74/98.16 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , identity ) ) ) ) ] )
% 97.74/98.16 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, clause( 39698, [ =( multiply( 'greatest_lower_bound'(
% 97.74/98.16 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 97.74/98.16 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , identity ) ) ) ) ] )
% 97.74/98.16 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 97.74/98.16 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39700, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2131, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39699, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 97.74/98.16 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39701, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39700, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3802, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39701, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39703, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 3802, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39704, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39703, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.16 X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39705, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39704, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3828, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39705, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39707, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , clause( 121, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 97.74/98.16 'least_upper_bound'( Y, identity ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39712, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 97.74/98.16 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2119, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39707, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 97.74/98.16 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 97.74/98.16 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 'least_upper_bound'( identity, X ) ), :=( Y, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39713, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'( X
% 97.74/98.16 , inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, clause( 39712, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 97.74/98.16 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 97.74/98.16 identity ) ) ), 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 97.74/98.16 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39714, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 2119, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39713, [ =( multiply( 'least_upper_bound'( identity, X ),
% 97.74/98.16 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 97.74/98.16 'least_upper_bound'( X, inverse( 'least_upper_bound'( inverse( X ),
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39715, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39714, [ =( X, 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3920, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , clause( 39715, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39716, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 3920, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), identity ) ) ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39717, [ =( X, 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ) ) ] )
% 97.74/98.16 , clause( 286, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39716, [ =( X, 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39723, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , clause( 39717, [ =( X, 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3944, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , clause( 39723, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39727, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 1029, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39731, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 97.74/98.16 ) ), X ), X ) ) ] )
% 97.74/98.16 , clause( 3944, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39727, [ =( 'least_upper_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 Y, X ) ) ) ] )
% 97.74/98.16 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39733, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, clause( 39731, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 97.74/98.16 ) ), X ), X ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3951, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39733, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39736, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , clause( 3951, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39737, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39736, [ =( X, 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.16 X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39738, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39737, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 3971, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39738, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39740, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39743, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 97.74/98.16 multiply( Y, inverse( 'greatest_lower_bound'( multiply( X, Y ), identity
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , clause( 159, [ =( multiply( 'greatest_lower_bound'( Y, inverse( X ) ), X
% 97.74/98.16 ), 'greatest_lower_bound'( multiply( Y, X ), identity ) ) ] )
% 97.74/98.16 , 0, clause( 39740, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 97.74/98.16 ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, Y ), :=( Y, 'greatest_lower_bound'( X, inverse( Y ) ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39744, [ =( multiply( Y, inverse( 'greatest_lower_bound'( multiply(
% 97.74/98.16 X, Y ), identity ) ) ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 39743, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 97.74/98.16 , multiply( Y, inverse( 'greatest_lower_bound'( multiply( X, Y ),
% 97.74/98.16 identity ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 4776, [ =( multiply( Y, inverse( 'greatest_lower_bound'( multiply(
% 97.74/98.16 X, Y ), identity ) ) ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 39744, [ =( multiply( Y, inverse( 'greatest_lower_bound'(
% 97.74/98.16 multiply( X, Y ), identity ) ) ), inverse( 'greatest_lower_bound'( X,
% 97.74/98.16 inverse( Y ) ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39746, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X, Z )
% 97.74/98.16 ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) ), Z )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 187, [ =( multiply( X, 'greatest_lower_bound'( inverse( multiply(
% 97.74/98.16 Y, X ) ), Z ) ), 'greatest_lower_bound'( inverse( Y ), multiply( X, Z ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39749, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 97.74/98.16 inverse( 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ) ),
% 97.74/98.16 multiply( Y, inverse( multiply( X, Y ) ) ) ) ] )
% 97.74/98.16 , clause( 3828, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, identity ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, clause( 39746, [ =( 'greatest_lower_bound'( inverse( Y ), multiply( X
% 97.74/98.16 , Z ) ), multiply( X, 'greatest_lower_bound'( inverse( multiply( Y, X ) )
% 97.74/98.16 , Z ) ) ) ] )
% 97.74/98.16 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 97.74/98.16 , [ :=( X, Y ), :=( Y, X ), :=( Z, inverse( 'greatest_lower_bound'(
% 97.74/98.16 multiply( X, Y ), identity ) ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39750, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 97.74/98.16 inverse( 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ) ),
% 97.74/98.16 inverse( X ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39749, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 97.74/98.16 , inverse( 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ) ),
% 97.74/98.16 multiply( Y, inverse( multiply( X, Y ) ) ) ) ] )
% 97.74/98.16 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39751, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 4776, [ =( multiply( Y, inverse( 'greatest_lower_bound'( multiply(
% 97.74/98.16 X, Y ), identity ) ) ), inverse( 'greatest_lower_bound'( X, inverse( Y )
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , 0, clause( 39750, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y
% 97.74/98.16 , inverse( 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ) ),
% 97.74/98.16 inverse( X ) ) ] )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5045, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39751, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39754, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ) ] )
% 97.74/98.16 , clause( 5045, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39756, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 97.74/98.16 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 97.74/98.16 , inverse( inverse( Y ) ) ) ) ] )
% 97.74/98.16 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, clause( 39754, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ) ] )
% 97.74/98.16 , 0, 13, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 97.74/98.16 substitution( 1, [ :=( X, 'least_upper_bound'( X, inverse( Y ) ) ), :=( Y
% 97.74/98.16 , Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39757, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 97.74/98.16 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 97.74/98.16 , Y ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39756, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 97.74/98.16 , 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.16 ), inverse( inverse( Y ) ) ) ) ] )
% 97.74/98.16 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39758, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 97.74/98.16 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39757, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 97.74/98.16 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 97.74/98.16 , Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5065, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 97.74/98.16 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , clause( 39758, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39760, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ) ] )
% 97.74/98.16 , clause( 5045, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39763, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39760, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ) ] )
% 97.74/98.16 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, inverse( Y ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39768, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39763, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5068, [ =( 'greatest_lower_bound'( inverse( Y ), inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ) ), inverse( Y ) ) ] )
% 97.74/98.16 , clause( 39768, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39770, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 97.74/98.16 , clause( 5068, [ =( 'greatest_lower_bound'( inverse( Y ), inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ) ), inverse( Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39772, [ =( inverse( inverse( X ) ), 'greatest_lower_bound'( X,
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39770, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X )
% 97.74/98.16 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.16 X ) ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39773, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39772, [ =( inverse( inverse( X ) ), 'greatest_lower_bound'( X
% 97.74/98.16 , inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39775, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 97.74/98.16 , clause( 39773, [ =( X, 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5097, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 97.74/98.16 , clause( 39775, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39778, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 501, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39782, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 inverse( X ), Y ) ), X ), 'least_upper_bound'( 'greatest_lower_bound'(
% 97.74/98.16 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ) ] )
% 97.74/98.16 , clause( 5097, [ =( 'greatest_lower_bound'( X, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39778, [ =( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ), :=( Y, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39784, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 inverse( X ), Y ) ), X ), X ) ] )
% 97.74/98.16 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, clause( 39782, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'(
% 97.74/98.16 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ), Y
% 97.74/98.16 ) ), X ), X ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 97.74/98.16 X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5111, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 inverse( X ), Y ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39784, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39786, [ =( X, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 97.74/98.16 , clause( 5111, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39787, [ =( X, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , clause( 207, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , 0, clause( 39786, [ =( X, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 97.74/98.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39793, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 Y, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39787, [ =( X, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5131, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 Y, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39793, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39797, [ =( Y, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 97.74/98.16 , clause( 5131, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39798, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39797, [ =( Y, 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( X, inverse( Y ) ) ), Y ) ) ] )
% 97.74/98.16 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 97.74/98.16 :=( Y, inverse( X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39799, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 Y, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39798, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5156, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 Y, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39799, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39801, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39802, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 97.74/98.16 Y ) ) ) ] )
% 97.74/98.16 , clause( 5156, [ =( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'greatest_lower_bound'( Y, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, clause( 39801, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 97.74/98.16 X, Y ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39803, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 97.74/98.16 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39802, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 97.74/98.16 Y ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5184, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 97.74/98.16 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 97.74/98.16 , clause( 39803, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39805, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ),
% 97.74/98.16 multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , clause( 190, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply(
% 97.74/98.16 Y, X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39808, [ =( 'least_upper_bound'( multiply( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ) ) ), inverse( Y ) ),
% 97.74/98.16 multiply( X, inverse( multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , clause( 3971, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, clause( 39805, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 97.74/98.16 ) ), multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, 14, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1
% 97.74/98.16 , [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 Y, X ) ) ) ), :=( Z, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39809, [ =( 'least_upper_bound'( multiply( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ) ) ), inverse( Y ) ),
% 97.74/98.16 inverse( Y ) ) ] )
% 97.74/98.16 , clause( 185, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39808, [ =( 'least_upper_bound'( multiply( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ) ) ), inverse( Y ) ),
% 97.74/98.16 multiply( X, inverse( multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39810, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 97.74/98.16 , clause( 3370, [ =( multiply( X, inverse( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( Y, X ) ) ) ), inverse( 'least_upper_bound'( inverse( X ), Y ) )
% 97.74/98.16 ) ] )
% 97.74/98.16 , 0, clause( 39809, [ =( 'least_upper_bound'( multiply( X, inverse(
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ) ) ), inverse( Y ) ),
% 97.74/98.16 inverse( Y ) ) ] )
% 97.74/98.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5197, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( Y ), X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39810, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( X ), Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39813, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), Y ) ), inverse( Y ) ) ) ] )
% 97.74/98.16 , clause( 5197, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 inverse( Y ), X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39816, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39813, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( inverse( X ), Y ) ), inverse( Y ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 97.74/98.16 Y ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39821, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 97.74/98.16 ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , clause( 39816, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5208, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 97.74/98.16 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 97.74/98.16 , clause( 39821, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 97.74/98.16 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39823, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 97.74/98.16 , clause( 5208, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 97.74/98.16 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39825, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39823, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 97.74/98.16 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 97.74/98.16 :=( Y, inverse( X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39826, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39825, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 97.74/98.16 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39828, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 97.74/98.16 inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39826, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 Y, inverse( X ) ) ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5234, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 97.74/98.16 inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , clause( 39828, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39831, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 97.74/98.16 , clause( 1029, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39835, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 97.74/98.16 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ) ] )
% 97.74/98.16 , clause( 5234, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 97.74/98.16 inverse( X ) ) ), X ), X ) ] )
% 97.74/98.16 , 0, clause( 39831, [ =( 'least_upper_bound'( X, Y ),
% 97.74/98.16 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 97.74/98.16 Y, X ) ) ) ] )
% 97.74/98.16 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39837, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 97.74/98.16 , X ) ] )
% 97.74/98.16 , 0, clause( 39835, [ =( 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ) ), 'greatest_lower_bound'(
% 97.74/98.16 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 97.74/98.16 ), X ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 97.74/98.16 Y, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 5245, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 97.74/98.16 , inverse( Y ) ) ) ), Y ) ] )
% 97.74/98.16 , clause( 39837, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 97.74/98.16 Y, inverse( X ) ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39840, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 97.74/98.16 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 97.74/98.16 , clause( 1316, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 97.74/98.16 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39843, [ =( inverse( inverse( X ) ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 97.74/98.16 Y, X ), identity ) ) ) ] )
% 97.74/98.16 , clause( 1010, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 97.74/98.16 , 0, clause( 39840, [ =( inverse( Y ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 97.74/98.16 identity ) ) ) ] )
% 97.74/98.16 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39844, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39843, [ =( inverse( inverse( X ) ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 97.74/98.16 Y, X ), identity ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 97.74/98.16 :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39845, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 97.74/98.16 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 97.74/98.16 , clause( 39844, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 12442, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 97.74/98.16 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 97.74/98.16 , clause( 39845, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 97.74/98.16 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39847, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 97.74/98.16 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , clause( 784, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39854, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 97.74/98.16 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 97.74/98.16 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 97.74/98.16 , Y ), identity ) ) ) ) ] )
% 97.74/98.16 , clause( 12442, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 97.74/98.16 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 97.74/98.16 , 0, clause( 39847, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 97.74/98.16 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.74/98.16 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39855, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 97.74/98.16 , X ) ), identity ) ) ) ] )
% 97.74/98.16 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, clause( 39854, [ =( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 97.74/98.16 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 97.74/98.16 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 97.74/98.16 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39856, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 97.74/98.16 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 97.74/98.16 'least_upper_bound'( X, Y ) ) ] )
% 97.74/98.16 , 0, clause( 39855, [ =( 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 97.74/98.16 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 97.74/98.16 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 97.74/98.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39857, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , clause( 5245, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 97.74/98.16 X, inverse( Y ) ) ) ), Y ) ] )
% 97.74/98.16 , 0, clause( 39856, [ =( 'least_upper_bound'( X, inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 97.74/98.16 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 97.74/98.16 multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 97.74/98.16 :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39858, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 97.74/98.16 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 97.74/98.16 , clause( 39857, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 97.74/98.16 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 12459, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 97.74/98.16 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 97.74/98.16 , clause( 39858, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 97.74/98.16 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.74/98.16 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39860, [ =( 'greatest_lower_bound'( identity, Y ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , clause( 2609, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 97.74/98.16 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 97.74/98.16 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39861, [ =( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 97.74/98.16 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 5065, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, clause( 39860, [ =( 'greatest_lower_bound'( identity, Y ),
% 97.74/98.16 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 97.74/98.16 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39862, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , clause( 39861, [ =( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 97.74/98.16 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 38865, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , clause( 39862, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39864, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 97.74/98.16 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 97.74/98.16 ] )
% 97.74/98.16 , clause( 1742, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 97.74/98.16 ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39871, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 97.74/98.16 , clause( 38865, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ] )
% 97.74/98.16 , 0, clause( 39864, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 97.74/98.16 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 97.74/98.16 , Y ) ) ) ) ] )
% 97.74/98.16 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 97.74/98.16 'greatest_lower_bound'( identity, X ) )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39872, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 97.74/98.16 , clause( 1014, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 97.74/98.16 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, clause( 39871, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 97.74/98.16 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 97.74/98.16 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 97.74/98.16 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 97.74/98.16 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39873, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 97.74/98.16 X ) ) ) ) ) ) ] )
% 97.74/98.16 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.16 , 0, clause( 39872, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 97.74/98.16 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39875, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39873, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 97.74/98.16 X ) ) ) ) ) ) ] )
% 97.74/98.16 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 97.74/98.16 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39876, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39875, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 97.74/98.16 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 97.74/98.16 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 97.74/98.16 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39881, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 97.74/98.16 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 97.74/98.16 , 0, clause( 39876, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 97.74/98.16 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 97.74/98.16 , [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39882, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 inverse( X ) ) ) ] )
% 97.74/98.16 , clause( 532, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , 0, clause( 39881, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 97.74/98.16 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39883, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 5184, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 97.74/98.16 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, clause( 39882, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 97.74/98.16 inverse( X ) ) ) ] )
% 97.74/98.16 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 97.74/98.16 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 38884, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 39883, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39886, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 97.74/98.16 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 97.74/98.16 , clause( 12459, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 97.74/98.16 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39889, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 97.74/98.16 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 97.74/98.16 ) ) ) ] )
% 97.74/98.16 , clause( 38884, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 97.74/98.16 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , 0, clause( 39886, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 97.74/98.16 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 97.74/98.16 )
% 97.74/98.16 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 97.74/98.16 identity ), :=( Y, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39890, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 97.74/98.16 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 97.74/98.16 , 0, clause( 39889, [ =( X, multiply( inverse( inverse(
% 97.74/98.16 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 97.74/98.16 , multiply( identity, X ) ) ) ) ] )
% 97.74/98.16 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 97.74/98.16 , substitution( 1, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 paramod(
% 97.74/98.16 clause( 39891, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 97.74/98.16 , 0, clause( 39890, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 97.74/98.16 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 97.74/98.16 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 97.74/98.16 ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ), X ) ] )
% 97.74/98.16 , clause( 39891, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 38990, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ), X ) ] )
% 97.74/98.16 , clause( 39892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ), X ) ] )
% 97.74/98.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39893, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , clause( 38990, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 97.74/98.16 'least_upper_bound'( identity, X ) ), X ) ] )
% 97.74/98.16 , 0, substitution( 0, [ :=( X, X )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 eqswap(
% 97.74/98.16 clause( 39894, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , clause( 2687, [ ~( =( multiply( 'greatest_lower_bound'( identity, a ),
% 97.74/98.16 'least_upper_bound'( identity, a ) ), a ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 resolution(
% 97.74/98.16 clause( 39895, [] )
% 97.74/98.16 , clause( 39894, [ ~( =( a, multiply( 'greatest_lower_bound'( identity, a )
% 97.74/98.16 , 'least_upper_bound'( identity, a ) ) ) ) ] )
% 97.74/98.16 , 0, clause( 39893, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 97.74/98.16 , 'least_upper_bound'( identity, X ) ) ) ] )
% 97.74/98.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 subsumption(
% 97.74/98.16 clause( 39051, [] )
% 97.74/98.16 , clause( 39895, [] )
% 97.74/98.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 end.
% 97.74/98.16
% 97.74/98.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 97.74/98.16
% 97.74/98.16 Memory use:
% 97.74/98.16
% 97.74/98.16 space for terms: 561494
% 97.74/98.16 space for clauses: 4077873
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 clauses generated: 28033476
% 97.74/98.16 clauses kept: 39052
% 97.74/98.16 clauses selected: 6983
% 97.74/98.16 clauses deleted: 2467
% 97.74/98.16 clauses inuse deleted: 251
% 97.74/98.16
% 97.74/98.16 subsentry: 1180084
% 97.74/98.16 literals s-matched: 1177594
% 97.74/98.16 literals matched: 1177318
% 97.74/98.16 full subsumption: 0
% 97.74/98.16
% 97.74/98.16 checksum: 739976700
% 97.74/98.16
% 97.74/98.16
% 97.74/98.16 Bliksem ended
%------------------------------------------------------------------------------