TSTP Solution File: GRP178-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP178-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:35:50 EDT 2022
% Result : Unsatisfiable 83.89s 84.30s
% Output : Refutation 83.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP178-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Mon Jun 13 07:34:38 EDT 2022
% 0.12/0.32 % CPUTime :
% 6.54/6.94 *** allocated 10000 integers for termspace/termends
% 6.54/6.94 *** allocated 10000 integers for clauses
% 6.54/6.94 *** allocated 10000 integers for justifications
% 6.54/6.94 Bliksem 1.12
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Automatic Strategy Selection
% 6.54/6.94
% 6.54/6.94 Clauses:
% 6.54/6.94 [
% 6.54/6.94 [ =( multiply( identity, X ), X ) ],
% 6.54/6.94 [ =( multiply( inverse( X ), X ), identity ) ],
% 6.54/6.94 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 6.54/6.94 ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 6.54/6.94 ,
% 6.54/6.94 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 6.54/6.94 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 6.54/6.94 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 6.54/6.94 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 6.54/6.94 [ =( 'least_upper_bound'( X, X ), X ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 6.54/6.94 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 6.54/6.94 ,
% 6.54/6.94 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 6.54/6.94 ,
% 6.54/6.94 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 6.54/6.94 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 6.54/6.94 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 6.54/6.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 6.54/6.94 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 6.54/6.94 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 6.54/6.94 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 6.54/6.94 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( identity, a ), identity ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( identity, b ), identity ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( identity, c ), identity ) ],
% 6.54/6.94 [ =( 'greatest_lower_bound'( a, b ), identity ) ],
% 6.54/6.94 [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 6.54/6.94 'greatest_lower_bound'( a, c ) ) ) ]
% 6.54/6.94 ] .
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 percentage equality = 1.000000, percentage horn = 1.000000
% 6.54/6.94 This is a pure equality problem
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Options Used:
% 6.54/6.94
% 6.54/6.94 useres = 1
% 6.54/6.94 useparamod = 1
% 6.54/6.94 useeqrefl = 1
% 6.54/6.94 useeqfact = 1
% 6.54/6.94 usefactor = 1
% 6.54/6.94 usesimpsplitting = 0
% 6.54/6.94 usesimpdemod = 5
% 6.54/6.94 usesimpres = 3
% 6.54/6.94
% 6.54/6.94 resimpinuse = 1000
% 6.54/6.94 resimpclauses = 20000
% 6.54/6.94 substype = eqrewr
% 6.54/6.94 backwardsubs = 1
% 6.54/6.94 selectoldest = 5
% 6.54/6.94
% 6.54/6.94 litorderings [0] = split
% 6.54/6.94 litorderings [1] = extend the termordering, first sorting on arguments
% 6.54/6.94
% 6.54/6.94 termordering = kbo
% 6.54/6.94
% 6.54/6.94 litapriori = 0
% 6.54/6.94 termapriori = 1
% 6.54/6.94 litaposteriori = 0
% 6.54/6.94 termaposteriori = 0
% 6.54/6.94 demodaposteriori = 0
% 6.54/6.94 ordereqreflfact = 0
% 6.54/6.94
% 6.54/6.94 litselect = negord
% 6.54/6.94
% 6.54/6.94 maxweight = 15
% 6.54/6.94 maxdepth = 30000
% 6.54/6.94 maxlength = 115
% 6.54/6.94 maxnrvars = 195
% 6.54/6.94 excuselevel = 1
% 6.54/6.94 increasemaxweight = 1
% 6.54/6.94
% 6.54/6.94 maxselected = 10000000
% 6.54/6.94 maxnrclauses = 10000000
% 6.54/6.94
% 6.54/6.94 showgenerated = 0
% 6.54/6.94 showkept = 0
% 6.54/6.94 showselected = 0
% 6.54/6.94 showdeleted = 0
% 6.54/6.94 showresimp = 1
% 6.54/6.94 showstatus = 2000
% 6.54/6.94
% 6.54/6.94 prologoutput = 1
% 6.54/6.94 nrgoals = 5000000
% 6.54/6.94 totalproof = 1
% 6.54/6.94
% 6.54/6.94 Symbols occurring in the translation:
% 6.54/6.94
% 6.54/6.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.54/6.94 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 6.54/6.94 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 6.54/6.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.54/6.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.54/6.94 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.54/6.94 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 6.54/6.94 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 6.54/6.94 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 6.54/6.94 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 6.54/6.94 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.54/6.94 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 6.54/6.94 c [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Starting Search:
% 6.54/6.94
% 6.54/6.94 Resimplifying inuse:
% 6.54/6.94 Done
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Intermediate Status:
% 6.54/6.94 Generated: 23679
% 6.54/6.94 Kept: 2062
% 6.54/6.94 Inuse: 283
% 6.54/6.94 Deleted: 14
% 6.54/6.94 Deletedinuse: 6
% 6.54/6.94
% 6.54/6.94 Resimplifying inuse:
% 6.54/6.94 Done
% 6.54/6.94
% 6.54/6.94 Resimplifying inuse:
% 6.54/6.94 Done
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Intermediate Status:
% 6.54/6.94 Generated: 41257
% 6.54/6.94 Kept: 4066
% 6.54/6.94 Inuse: 449
% 6.54/6.94 Deleted: 50
% 6.54/6.94 Deletedinuse: 6
% 6.54/6.94
% 6.54/6.94 Resimplifying inuse:
% 6.54/6.94 Done
% 6.54/6.94
% 6.54/6.94 Resimplifying inuse:
% 6.54/6.94 Done
% 6.54/6.94
% 6.54/6.94
% 6.54/6.94 Intermediate Status:
% 6.54/6.94 Generated: 61110
% 6.54/6.94 Kept: 6082
% 6.54/6.94 Inuse: 590
% 6.54/6.94 Deleted: 59
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 86512
% 15.47/15.89 Kept: 8113
% 15.47/15.89 Inuse: 722
% 15.47/15.89 Deleted: 63
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 124572
% 15.47/15.89 Kept: 10120
% 15.47/15.89 Inuse: 814
% 15.47/15.89 Deleted: 63
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 168029
% 15.47/15.89 Kept: 12128
% 15.47/15.89 Inuse: 972
% 15.47/15.89 Deleted: 79
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 228983
% 15.47/15.89 Kept: 14161
% 15.47/15.89 Inuse: 1135
% 15.47/15.89 Deleted: 112
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 266679
% 15.47/15.89 Kept: 16272
% 15.47/15.89 Inuse: 1262
% 15.47/15.89 Deleted: 130
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 306396
% 15.47/15.89 Kept: 18377
% 15.47/15.89 Inuse: 1301
% 15.47/15.89 Deleted: 130
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying clauses:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 338245
% 15.47/15.89 Kept: 20397
% 15.47/15.89 Inuse: 1349
% 15.47/15.89 Deleted: 1278
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 409054
% 15.47/15.89 Kept: 22398
% 15.47/15.89 Inuse: 1496
% 15.47/15.89 Deleted: 1278
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 472932
% 15.47/15.89 Kept: 24412
% 15.47/15.89 Inuse: 1590
% 15.47/15.89 Deleted: 1278
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 539053
% 15.47/15.89 Kept: 26423
% 15.47/15.89 Inuse: 1685
% 15.47/15.89 Deleted: 1278
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 658247
% 15.47/15.89 Kept: 28427
% 15.47/15.89 Inuse: 1839
% 15.47/15.89 Deleted: 1278
% 15.47/15.89 Deletedinuse: 6
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 767990
% 15.47/15.89 Kept: 30432
% 15.47/15.89 Inuse: 1984
% 15.47/15.89 Deleted: 1282
% 15.47/15.89 Deletedinuse: 10
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 821896
% 15.47/15.89 Kept: 32551
% 15.47/15.89 Inuse: 2071
% 15.47/15.89 Deleted: 1283
% 15.47/15.89 Deletedinuse: 10
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 848333
% 15.47/15.89 Kept: 34600
% 15.47/15.89 Inuse: 2096
% 15.47/15.89 Deleted: 1338
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 891685
% 15.47/15.89 Kept: 36705
% 15.47/15.89 Inuse: 2145
% 15.47/15.89 Deleted: 1338
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 962870
% 15.47/15.89 Kept: 38712
% 15.47/15.89 Inuse: 2214
% 15.47/15.89 Deleted: 1341
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying clauses:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1035399
% 15.47/15.89 Kept: 40723
% 15.47/15.89 Inuse: 2308
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1154314
% 15.47/15.89 Kept: 42727
% 15.47/15.89 Inuse: 2439
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1289178
% 15.47/15.89 Kept: 44757
% 15.47/15.89 Inuse: 2538
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1413693
% 15.47/15.89 Kept: 46795
% 15.47/15.89 Inuse: 2651
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1486431
% 15.47/15.89 Kept: 48802
% 15.47/15.89 Inuse: 2736
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1607416
% 15.47/15.89 Kept: 50808
% 15.47/15.89 Inuse: 2834
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 15.47/15.89 Generated: 1667814
% 15.47/15.89 Kept: 52906
% 15.47/15.89 Inuse: 2901
% 15.47/15.89 Deleted: 2669
% 15.47/15.89 Deletedinuse: 63
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89 Resimplifying inuse:
% 15.47/15.89 Done
% 15.47/15.89
% 15.47/15.89
% 15.47/15.89 Intermediate Status:
% 34.60/34.98 Generated: 1860833
% 34.60/34.98 Kept: 54910
% 34.60/34.98 Inuse: 3051
% 34.60/34.98 Deleted: 2669
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2230917
% 34.60/34.98 Kept: 56963
% 34.60/34.98 Inuse: 3311
% 34.60/34.98 Deleted: 2669
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2433792
% 34.60/34.98 Kept: 58991
% 34.60/34.98 Inuse: 3447
% 34.60/34.98 Deleted: 2669
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying clauses:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2468835
% 34.60/34.98 Kept: 61307
% 34.60/34.98 Inuse: 3480
% 34.60/34.98 Deleted: 2992
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2516997
% 34.60/34.98 Kept: 63521
% 34.60/34.98 Inuse: 3530
% 34.60/34.98 Deleted: 2992
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2550452
% 34.60/34.98 Kept: 65530
% 34.60/34.98 Inuse: 3565
% 34.60/34.98 Deleted: 2992
% 34.60/34.98 Deletedinuse: 63
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2624504
% 34.60/34.98 Kept: 67541
% 34.60/34.98 Inuse: 3666
% 34.60/34.98 Deleted: 2996
% 34.60/34.98 Deletedinuse: 67
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2744728
% 34.60/34.98 Kept: 69556
% 34.60/34.98 Inuse: 3804
% 34.60/34.98 Deleted: 2996
% 34.60/34.98 Deletedinuse: 67
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 2890407
% 34.60/34.98 Kept: 71569
% 34.60/34.98 Inuse: 3968
% 34.60/34.98 Deleted: 3002
% 34.60/34.98 Deletedinuse: 73
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3020591
% 34.60/34.98 Kept: 73663
% 34.60/34.98 Inuse: 4024
% 34.60/34.98 Deleted: 3004
% 34.60/34.98 Deletedinuse: 75
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3120899
% 34.60/34.98 Kept: 75675
% 34.60/34.98 Inuse: 4106
% 34.60/34.98 Deleted: 3010
% 34.60/34.98 Deletedinuse: 81
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3213552
% 34.60/34.98 Kept: 77928
% 34.60/34.98 Inuse: 4169
% 34.60/34.98 Deleted: 3016
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3280411
% 34.60/34.98 Kept: 80073
% 34.60/34.98 Inuse: 4186
% 34.60/34.98 Deleted: 3016
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying clauses:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3357456
% 34.60/34.98 Kept: 82101
% 34.60/34.98 Inuse: 4204
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3450775
% 34.60/34.98 Kept: 84281
% 34.60/34.98 Inuse: 4229
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3560469
% 34.60/34.98 Kept: 86324
% 34.60/34.98 Inuse: 4266
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3590774
% 34.60/34.98 Kept: 88515
% 34.60/34.98 Inuse: 4279
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3667022
% 34.60/34.98 Kept: 90635
% 34.60/34.98 Inuse: 4299
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3744978
% 34.60/34.98 Kept: 92650
% 34.60/34.98 Inuse: 4322
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3816148
% 34.60/34.98 Kept: 94678
% 34.60/34.98 Inuse: 4350
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3888816
% 34.60/34.98 Kept: 96685
% 34.60/34.98 Inuse: 4368
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 3956041
% 34.60/34.98 Kept: 98701
% 34.60/34.98 Inuse: 4388
% 34.60/34.98 Deleted: 3665
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying clauses:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 4108388
% 34.60/34.98 Kept: 100715
% 34.60/34.98 Inuse: 4475
% 34.60/34.98 Deleted: 4423
% 34.60/34.98 Deletedinuse: 87
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98 Resimplifying inuse:
% 34.60/34.98 Done
% 34.60/34.98
% 34.60/34.98
% 34.60/34.98 Intermediate Status:
% 34.60/34.98 Generated: 4263165
% 34.60/34.98 Kept: 102719
% 34.60/34.98 Inuse: 4565
% 34.60/34.98 Deleted: 4423
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4381162
% 63.55/63.98 Kept: 104723
% 63.55/63.98 Inuse: 4635
% 63.55/63.98 Deleted: 4423
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4455512
% 63.55/63.98 Kept: 106733
% 63.55/63.98 Inuse: 4674
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4546346
% 63.55/63.98 Kept: 108760
% 63.55/63.98 Inuse: 4741
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4676503
% 63.55/63.98 Kept: 110867
% 63.55/63.98 Inuse: 4838
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4750632
% 63.55/63.98 Kept: 112875
% 63.55/63.98 Inuse: 4891
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 4939188
% 63.55/63.98 Kept: 114883
% 63.55/63.98 Inuse: 5033
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5052602
% 63.55/63.98 Kept: 117045
% 63.55/63.98 Inuse: 5143
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5229340
% 63.55/63.98 Kept: 119045
% 63.55/63.98 Inuse: 5265
% 63.55/63.98 Deleted: 4435
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying clauses:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5385234
% 63.55/63.98 Kept: 121056
% 63.55/63.98 Inuse: 5388
% 63.55/63.98 Deleted: 4936
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5490476
% 63.55/63.98 Kept: 123066
% 63.55/63.98 Inuse: 5487
% 63.55/63.98 Deleted: 4936
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5631807
% 63.55/63.98 Kept: 125125
% 63.55/63.98 Inuse: 5598
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5736096
% 63.55/63.98 Kept: 127128
% 63.55/63.98 Inuse: 5696
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5850834
% 63.55/63.98 Kept: 129141
% 63.55/63.98 Inuse: 5807
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 5919559
% 63.55/63.98 Kept: 131189
% 63.55/63.98 Inuse: 5868
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6000937
% 63.55/63.98 Kept: 133209
% 63.55/63.98 Inuse: 5965
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6153592
% 63.55/63.98 Kept: 135269
% 63.55/63.98 Inuse: 6103
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6282877
% 63.55/63.98 Kept: 137272
% 63.55/63.98 Inuse: 6144
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6423410
% 63.55/63.98 Kept: 139301
% 63.55/63.98 Inuse: 6184
% 63.55/63.98 Deleted: 4956
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying clauses:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6596995
% 63.55/63.98 Kept: 141337
% 63.55/63.98 Inuse: 6227
% 63.55/63.98 Deleted: 5683
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6742541
% 63.55/63.98 Kept: 143340
% 63.55/63.98 Inuse: 6266
% 63.55/63.98 Deleted: 5683
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 6948121
% 63.55/63.98 Kept: 145389
% 63.55/63.98 Inuse: 6328
% 63.55/63.98 Deleted: 5683
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 7057934
% 63.55/63.98 Kept: 147779
% 63.55/63.98 Inuse: 6368
% 63.55/63.98 Deleted: 5683
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98
% 63.55/63.98 Intermediate Status:
% 63.55/63.98 Generated: 7135271
% 63.55/63.98 Kept: 149788
% 63.55/63.98 Inuse: 6406
% 63.55/63.98 Deleted: 5683
% 63.55/63.98 Deletedinuse: 87
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 63.55/63.98 Done
% 63.55/63.98
% 63.55/63.98 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7199866
% 83.89/84.30 Kept: 151808
% 83.89/84.30 Inuse: 6430
% 83.89/84.30 Deleted: 5683
% 83.89/84.30 Deletedinuse: 87
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7235860
% 83.89/84.30 Kept: 153818
% 83.89/84.30 Inuse: 6447
% 83.89/84.30 Deleted: 5683
% 83.89/84.30 Deletedinuse: 87
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7354208
% 83.89/84.30 Kept: 155820
% 83.89/84.30 Inuse: 6490
% 83.89/84.30 Deleted: 5683
% 83.89/84.30 Deletedinuse: 87
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7520495
% 83.89/84.30 Kept: 157844
% 83.89/84.30 Inuse: 6553
% 83.89/84.30 Deleted: 5683
% 83.89/84.30 Deletedinuse: 87
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7706371
% 83.89/84.30 Kept: 159954
% 83.89/84.30 Inuse: 6626
% 83.89/84.30 Deleted: 5687
% 83.89/84.30 Deletedinuse: 89
% 83.89/84.30
% 83.89/84.30 Resimplifying clauses:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7802407
% 83.89/84.30 Kept: 162013
% 83.89/84.30 Inuse: 6664
% 83.89/84.30 Deleted: 6539
% 83.89/84.30 Deletedinuse: 89
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 7919060
% 83.89/84.30 Kept: 164048
% 83.89/84.30 Inuse: 6715
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8100323
% 83.89/84.30 Kept: 166885
% 83.89/84.30 Inuse: 6789
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8202830
% 83.89/84.30 Kept: 169140
% 83.89/84.30 Inuse: 6824
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8298269
% 83.89/84.30 Kept: 171146
% 83.89/84.30 Inuse: 6856
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8397841
% 83.89/84.30 Kept: 173272
% 83.89/84.30 Inuse: 6894
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8506915
% 83.89/84.30 Kept: 175318
% 83.89/84.30 Inuse: 6936
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8662480
% 83.89/84.30 Kept: 177326
% 83.89/84.30 Inuse: 6987
% 83.89/84.30 Deleted: 6543
% 83.89/84.30 Deletedinuse: 91
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 8878764
% 83.89/84.30 Kept: 179326
% 83.89/84.30 Inuse: 7042
% 83.89/84.30 Deleted: 6547
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying clauses:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 9128884
% 83.89/84.30 Kept: 181356
% 83.89/84.30 Inuse: 7142
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 9321025
% 83.89/84.30 Kept: 183376
% 83.89/84.30 Inuse: 7226
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 9487666
% 83.89/84.30 Kept: 185420
% 83.89/84.30 Inuse: 7280
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 9748601
% 83.89/84.30 Kept: 187424
% 83.89/84.30 Inuse: 7373
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 9936344
% 83.89/84.30 Kept: 189435
% 83.89/84.30 Inuse: 7469
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10136727
% 83.89/84.30 Kept: 191447
% 83.89/84.30 Inuse: 7549
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10450556
% 83.89/84.30 Kept: 193459
% 83.89/84.30 Inuse: 7697
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10537824
% 83.89/84.30 Kept: 195496
% 83.89/84.30 Inuse: 7740
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10618858
% 83.89/84.30 Kept: 197545
% 83.89/84.30 Inuse: 7785
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10724596
% 83.89/84.30 Kept: 199560
% 83.89/84.30 Inuse: 7842
% 83.89/84.30 Deleted: 7685
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying clauses:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 10898059
% 83.89/84.30 Kept: 201565
% 83.89/84.30 Inuse: 7928
% 83.89/84.30 Deleted: 8562
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11060886
% 83.89/84.30 Kept: 203604
% 83.89/84.30 Inuse: 7995
% 83.89/84.30 Deleted: 8562
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11180750
% 83.89/84.30 Kept: 205893
% 83.89/84.30 Inuse: 8043
% 83.89/84.30 Deleted: 8562
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11324688
% 83.89/84.30 Kept: 207913
% 83.89/84.30 Inuse: 8109
% 83.89/84.30 Deleted: 8562
% 83.89/84.30 Deletedinuse: 94
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11445586
% 83.89/84.30 Kept: 209922
% 83.89/84.30 Inuse: 8162
% 83.89/84.30 Deleted: 8584
% 83.89/84.30 Deletedinuse: 114
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11592935
% 83.89/84.30 Kept: 212100
% 83.89/84.30 Inuse: 8234
% 83.89/84.30 Deleted: 8586
% 83.89/84.30 Deletedinuse: 114
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11742424
% 83.89/84.30 Kept: 214113
% 83.89/84.30 Inuse: 8303
% 83.89/84.30 Deleted: 8586
% 83.89/84.30 Deletedinuse: 114
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 11972871
% 83.89/84.30 Kept: 216135
% 83.89/84.30 Inuse: 8413
% 83.89/84.30 Deleted: 8595
% 83.89/84.30 Deletedinuse: 123
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 12164206
% 83.89/84.30 Kept: 218148
% 83.89/84.30 Inuse: 8506
% 83.89/84.30 Deleted: 8646
% 83.89/84.30 Deletedinuse: 174
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 12336321
% 83.89/84.30 Kept: 220172
% 83.89/84.30 Inuse: 8585
% 83.89/84.30 Deleted: 8646
% 83.89/84.30 Deletedinuse: 174
% 83.89/84.30
% 83.89/84.30 Resimplifying clauses:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Intermediate Status:
% 83.89/84.30 Generated: 12516306
% 83.89/84.30 Kept: 222211
% 83.89/84.30 Inuse: 8671
% 83.89/84.30 Deleted: 10736
% 83.89/84.30 Deletedinuse: 174
% 83.89/84.30
% 83.89/84.30 Resimplifying inuse:
% 83.89/84.30 Done
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 Bliksems!, er is een bewijs:
% 83.89/84.30 % SZS status Unsatisfiable
% 83.89/84.30 % SZS output start Refutation
% 83.89/84.30
% 83.89/84.30 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 83.89/84.30 , Z ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 83.89/84.30 X ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 83.89/84.30 ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 83.89/84.30 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 83.89/84.30 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 83.89/84.30 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 83.89/84.30 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 83.89/84.30 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 15, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 17, [ =( 'greatest_lower_bound'( identity, c ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 19, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 83.89/84.30 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 20, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 23, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 24, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 83.89/84.30 , identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 83.89/84.30 identity ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 83.89/84.30 ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, b ), a
% 83.89/84.30 ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 83.89/84.30 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 44, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 46, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 83.89/84.30 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 60, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 62, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 63, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 66, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 75, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 83.89/84.30 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 78, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 79, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity ), a
% 83.89/84.30 ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 82, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 87, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 83.89/84.30 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 88, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 83.89/84.30 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 83.89/84.30 )
% 83.89/84.30 .
% 83.89/84.30 clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 83.89/84.30 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 83.89/84.30 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 125, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, a ),
% 83.89/84.30 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 138, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.30 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 83.89/84.30 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 191, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b
% 83.89/84.30 ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 273, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.30 'greatest_lower_bound'( Y, Z ), X ), Z ), Z ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 274, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 83.89/84.30 'greatest_lower_bound'( Y, Z ), X ) ), Z ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 327, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.30 'greatest_lower_bound'( X, Z ), Y ), X ), 'least_upper_bound'( Y, X ) ) ]
% 83.89/84.30 )
% 83.89/84.30 .
% 83.89/84.30 clause( 337, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 83.89/84.30 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 398, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.30 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 409, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ),
% 83.89/84.30 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ),
% 83.89/84.30 'greatest_lower_bound'( X, T ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 534, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 558, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 578, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 83.89/84.30 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 580, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 83.89/84.30 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 582, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 83.89/84.30 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 592, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 593, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 594, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 83.89/84.30 Y ), X ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 787, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 83.89/84.30 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 804, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 83.89/84.30 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1036, [ =( 'least_upper_bound'( inverse( b ), identity ), identity
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1040, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1173, [ =( 'least_upper_bound'( inverse( b ), a ), a ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1263, [ =( 'greatest_lower_bound'( a, inverse( b ) ), inverse( b )
% 83.89/84.30 ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1398, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a )
% 83.89/84.30 , b ) ), inverse( a ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1478, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 83.89/84.30 identity ), inverse( b ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1506, [ =( 'greatest_lower_bound'( identity, multiply( b, a ) ),
% 83.89/84.30 identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 1739, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 83.89/84.30 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2615, [ =( 'greatest_lower_bound'( X, multiply( multiply( b, a ), X
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2685, [ =( 'greatest_lower_bound'( X, multiply( a, X ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2687, [ =( 'greatest_lower_bound'( X, multiply( c, X ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2717, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 83.89/84.30 multiply( a, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 2940, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.30 'greatest_lower_bound'( a, X ), identity ) ), 'least_upper_bound'(
% 83.89/84.30 'greatest_lower_bound'( a, X ), identity ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 4154, [ =( 'greatest_lower_bound'( X, multiply( X, c ) ), X ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 4272, [ =( 'greatest_lower_bound'( multiply( X, inverse( c ) ), X )
% 83.89/84.30 , multiply( X, inverse( c ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 18131, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.30 'greatest_lower_bound'( Y, X ), U ), 'greatest_lower_bound'( X, Y ) ),
% 83.89/84.30 'least_upper_bound'( U, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 18138, [ =( 'least_upper_bound'( U, 'greatest_lower_bound'( Y, X )
% 83.89/84.30 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), U ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 31857, [ =( multiply( inverse( multiply( a, b ) ), b ), inverse( a
% 83.89/84.30 ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 31986, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 222679, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.30 'greatest_lower_bound'( a, X ), identity ), b ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 222704, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.30 , 'greatest_lower_bound'( X, a ) ), b ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 222958, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.30 , multiply( a, inverse( c ) ) ), b ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223392, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 83.89/84.30 c, a ), inverse( c ) ), b ), identity ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ),
% 83.89/84.30 multiply( b, c ) ), c ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223461, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.30 'least_upper_bound'( c, a ) ), c ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223530, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.30 'greatest_lower_bound'( c, a ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223556, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.30 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.30 .
% 83.89/84.30 clause( 223559, [] )
% 83.89/84.30 .
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 % SZS output end Refutation
% 83.89/84.30 found a proof!
% 83.89/84.30
% 83.89/84.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 83.89/84.30
% 83.89/84.30 initialclauses(
% 83.89/84.30 [ clause( 223561, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.30 , clause( 223562, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , clause( 223563, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 83.89/84.30 multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223564, [ =( 'greatest_lower_bound'( X, Y ),
% 83.89/84.30 'greatest_lower_bound'( Y, X ) ) ] )
% 83.89/84.30 , clause( 223565, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , clause( 223566, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 83.89/84.30 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.30 )
% 83.89/84.30 , clause( 223567, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z )
% 83.89/84.30 ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223568, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 83.89/84.30 , clause( 223569, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 83.89/84.30 , clause( 223570, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , clause( 223571, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , clause( 223572, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , clause( 223573, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.30 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , clause( 223574, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223575, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 83.89/84.30 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223576, [ =( 'greatest_lower_bound'( identity, a ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , clause( 223577, [ =( 'greatest_lower_bound'( identity, b ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , clause( 223578, [ =( 'greatest_lower_bound'( identity, c ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , clause( 223579, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.30 , clause( 223580, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 83.89/84.30 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.30 ] ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.30 , clause( 223561, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , clause( 223562, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223586, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 83.89/84.30 , Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223563, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 83.89/84.30 multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 83.89/84.30 , Z ) ) ] )
% 83.89/84.30 , clause( 223586, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 83.89/84.30 X, Y ), Z ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 83.89/84.30 X ) ) ] )
% 83.89/84.30 , clause( 223564, [ =( 'greatest_lower_bound'( X, Y ),
% 83.89/84.30 'greatest_lower_bound'( Y, X ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 83.89/84.30 ] )
% 83.89/84.30 , clause( 223565, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 83.89/84.30 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223566, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 83.89/84.30 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.30 )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223567, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z )
% 83.89/84.30 ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 83.89/84.30 ) ] )
% 83.89/84.30 , clause( 223570, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223571, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223628, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 83.89/84.30 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223572, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 83.89/84.30 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223628, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X,
% 83.89/84.30 Z ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223639, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 83.89/84.30 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223573, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.30 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 83.89/84.30 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 223639, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply(
% 83.89/84.30 X, Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223651, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.30 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223574, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 83.89/84.30 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223651, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y,
% 83.89/84.30 Z ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223664, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 83.89/84.30 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223575, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 83.89/84.30 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 83.89/84.30 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , clause( 223664, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply(
% 83.89/84.30 Y, Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 15, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 83.89/84.30 , clause( 223576, [ =( 'greatest_lower_bound'( identity, a ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 17, [ =( 'greatest_lower_bound'( identity, c ), identity ) ] )
% 83.89/84.30 , clause( 223578, [ =( 'greatest_lower_bound'( identity, c ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.30 , clause( 223579, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 19, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 83.89/84.30 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.30 , clause( 223580, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 83.89/84.30 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223730, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 83.89/84.30 , clause( 15, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223731, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ] )
% 83.89/84.30 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , 0, clause( 223730, [ =( identity, 'greatest_lower_bound'( identity, a ) )
% 83.89/84.30 ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, a )] ), substitution(
% 83.89/84.30 1, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223734, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 83.89/84.30 , clause( 223731, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ]
% 83.89/84.30 )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 20, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 83.89/84.30 , clause( 223734, [ =( 'greatest_lower_bound'( a, identity ), identity ) ]
% 83.89/84.30 )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223735, [ =( identity, 'greatest_lower_bound'( a, b ) ) ] )
% 83.89/84.30 , clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223736, [ =( identity, 'greatest_lower_bound'( b, a ) ) ] )
% 83.89/84.30 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , 0, clause( 223735, [ =( identity, 'greatest_lower_bound'( a, b ) ) ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 83.89/84.30 ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223739, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 , clause( 223736, [ =( identity, 'greatest_lower_bound'( b, a ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 23, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 , clause( 223739, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223740, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 83.89/84.30 Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.30 ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223743, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 83.89/84.30 Y ), identity ) ] )
% 83.89/84.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , 0, clause( 223740, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 83.89/84.30 multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 83.89/84.30 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 24, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 83.89/84.30 , identity ) ] )
% 83.89/84.30 , clause( 223743, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 83.89/84.30 , Y ), identity ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223749, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 83.89/84.30 Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.30 ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223754, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 83.89/84.30 X, identity ) ) ] )
% 83.89/84.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , 0, clause( 223749, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 83.89/84.30 multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.30 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 83.89/84.30 identity ) ) ] )
% 83.89/84.30 , clause( 223754, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 83.89/84.30 X, identity ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223759, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 83.89/84.30 Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.30 ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223764, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 83.89/84.30 ) ) ] )
% 83.89/84.30 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.30 , 0, clause( 223759, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 83.89/84.30 multiply( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.30 :=( Y, identity ), :=( Z, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 83.89/84.30 ] )
% 83.89/84.30 , clause( 223764, [ =( multiply( multiply( X, identity ), Y ), multiply( X
% 83.89/84.30 , Y ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223770, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223772, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, b )
% 83.89/84.30 , a ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.30 , clause( 23, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 , 0, clause( 223770, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 83.89/84.30 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 83.89/84.30 ] )
% 83.89/84.30 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ),
% 83.89/84.30 :=( Z, a )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, b ), a
% 83.89/84.30 ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.30 , clause( 223772, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, b
% 83.89/84.30 ), a ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223775, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223778, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.30 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , 0, clause( 223775, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 83.89/84.30 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 83.89/84.30 ] )
% 83.89/84.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 83.89/84.30 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.30 , clause( 223778, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 83.89/84.30 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 83.89/84.30 )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223793, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223796, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.30 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, clause( 223793, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 83.89/84.30 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 83.89/84.30 ] )
% 83.89/84.30 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 83.89/84.30 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 83.89/84.30 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 83.89/84.30 , clause( 223796, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 83.89/84.30 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223800, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223801, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , 0, clause( 223800, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 83.89/84.30 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223804, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 83.89/84.30 ), X ) ] )
% 83.89/84.30 , clause( 223801, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 83.89/84.30 ), X ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223804, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.30 , X ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223805, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223806, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y,
% 83.89/84.30 X ) ) ) ] )
% 83.89/84.30 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ) ] )
% 83.89/84.30 , 0, clause( 223805, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.30 :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223809, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 83.89/84.30 ), X ) ] )
% 83.89/84.30 , clause( 223806, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 83.89/84.30 , X ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223809, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223810, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223811, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ) ] )
% 83.89/84.30 , 0, clause( 223810, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 83.89/84.30 , Y ), X ) ) ] )
% 83.89/84.30 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.30 :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223814, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 83.89/84.30 ), X ) ] )
% 83.89/84.30 , clause( 223811, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 83.89/84.30 ), X ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 44, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223814, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 83.89/84.30 , X ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223816, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.30 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223821, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 83.89/84.30 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 83.89/84.30 , clause( 44, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, clause( 223816, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 83.89/84.30 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 83.89/84.30 ] )
% 83.89/84.30 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.30 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 46, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 83.89/84.30 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 83.89/84.30 , clause( 223821, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 83.89/84.30 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 83.89/84.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223826, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223827, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 83.89/84.30 , clause( 23, [ =( 'greatest_lower_bound'( b, a ), identity ) ] )
% 83.89/84.30 , 0, clause( 223826, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 83.89/84.30 ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223828, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 83.89/84.30 , clause( 223827, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 60, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 83.89/84.30 , clause( 223828, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223830, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223831, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 83.89/84.30 , clause( 20, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 83.89/84.30 , 0, clause( 223830, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 83.89/84.30 identity )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223832, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 83.89/84.30 , clause( 223831, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 62, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 83.89/84.30 , clause( 223832, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223833, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223834, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 83.89/84.30 X ) ) ) ] )
% 83.89/84.30 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , 0, clause( 223833, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.30 :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223837, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 83.89/84.30 ), X ) ] )
% 83.89/84.30 , clause( 223834, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 83.89/84.30 , X ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 63, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223837, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 83.89/84.30 ) ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223838, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X,
% 83.89/84.30 Y ) ) ) ] )
% 83.89/84.30 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 83.89/84.30 , X ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223839, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , X ) ) ] )
% 83.89/84.30 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ) ] )
% 83.89/84.30 , 0, clause( 223838, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.30 X, Y ) ) ) ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 83.89/84.30 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223842, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 83.89/84.30 ), X ) ] )
% 83.89/84.30 , clause( 223839, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 83.89/84.30 ), X ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 83.89/84.30 X ) ] )
% 83.89/84.30 , clause( 223842, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.30 , X ), X ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223843, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 83.89/84.30 , clause( 60, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223844, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 83.89/84.30 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ) ] )
% 83.89/84.30 , 0, clause( 223843, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, identity )] ), substitution(
% 83.89/84.30 1, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223847, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 83.89/84.30 , clause( 223844, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 66, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 83.89/84.30 , clause( 223847, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223849, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 83.89/84.30 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223852, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 83.89/84.30 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 83.89/84.30 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.30 , 0, clause( 223849, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.30 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 83.89/84.30 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223855, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 83.89/84.30 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 83.89/84.30 , clause( 223852, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 75, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 83.89/84.30 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 83.89/84.30 , clause( 223855, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 83.89/84.30 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.30 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223856, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 83.89/84.30 , clause( 62, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223857, [ =( a, 'least_upper_bound'( identity, a ) ) ] )
% 83.89/84.30 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.30 ) ] )
% 83.89/84.30 , 0, clause( 223856, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 83.89/84.30 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 83.89/84.30 1, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223860, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.30 , clause( 223857, [ =( a, 'least_upper_bound'( identity, a ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 78, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.30 , clause( 223860, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 eqswap(
% 83.89/84.30 clause( 223862, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 83.89/84.30 , 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.30 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 paramod(
% 83.89/84.30 clause( 223864, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 83.89/84.30 ), a ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.30 , clause( 78, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.30 , 0, clause( 223862, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.30 , Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.30 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 83.89/84.30 identity ), :=( Z, a )] )).
% 83.89/84.30
% 83.89/84.30
% 83.89/84.30 subsumption(
% 83.89/84.30 clause( 79, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity ), a
% 83.89/84.30 ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.30 , clause( 223864, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 83.89/84.30 identity ), a ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223867, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 83.89/84.31 X ) ) ) ] )
% 83.89/84.31 , clause( 63, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223868, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, clause( 223867, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 Y, X ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 83.89/84.31 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223871, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 83.89/84.31 ), X ) ] )
% 83.89/84.31 , clause( 223868, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 83.89/84.31 ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 82, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 83.89/84.31 X ) ] )
% 83.89/84.31 , clause( 223871, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 83.89/84.31 , X ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223873, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 83.89/84.31 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223875, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, clause( 223873, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 83.89/84.31 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223878, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 83.89/84.31 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 223875, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 83.89/84.31 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 87, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 83.89/84.31 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 223878, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 83.89/84.31 X ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223881, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 83.89/84.31 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223884, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 83.89/84.31 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, clause( 223881, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 83.89/84.31 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223887, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 83.89/84.31 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 223884, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X
% 83.89/84.31 ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 88, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 83.89/84.31 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 223887, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y )
% 83.89/84.31 , identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) )
% 83.89/84.31 ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223888, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223890, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , 0, clause( 223888, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223892, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 83.89/84.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 223890, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 83.89/84.31 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 83.89/84.31 , clause( 223892, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223894, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223895, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 83.89/84.31 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 223894, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 83.89/84.31 identity ), :=( Y, Y ), :=( Z, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223897, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 83.89/84.31 , clause( 223895, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 83.89/84.31 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 83.89/84.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 83.89/84.31 , clause( 223897, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223900, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223901, [ =( 'least_upper_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 X, identity ) ) ) ] )
% 83.89/84.31 , clause( 79, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 83.89/84.31 , a ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.31 , 0, clause( 223900, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 83.89/84.31 , Y ), X ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 83.89/84.31 'least_upper_bound'( X, identity ) ), :=( Y, a )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223902, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, a ),
% 83.89/84.31 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 223901, [ =( 'least_upper_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 X, identity ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 125, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, a ),
% 83.89/84.31 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 223902, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, a )
% 83.89/84.31 , 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223903, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( a, multiply( b, c ) ) ) ) ] )
% 83.89/84.31 , clause( 19, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223905, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 83.89/84.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , 0, clause( 223903, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( a, multiply( b, c ) ) ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, c ) )] ),
% 83.89/84.31 substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223911, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , clause( 223905, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 138, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , clause( 223911, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223913, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 83.89/84.31 , identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223916, [ =( multiply( inverse( inverse( X ) ), identity ),
% 83.89/84.31 multiply( identity, X ) ) ] )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, clause( 223913, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 83.89/84.31 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223917, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 223916, [ =( multiply( inverse( inverse( X ) ), identity ),
% 83.89/84.31 multiply( identity, X ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 83.89/84.31 , clause( 223917, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223920, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223923, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 83.89/84.31 , 0, clause( 223920, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 83.89/84.31 ), Y ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 83.89/84.31 inverse( X ) ) ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 223923, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X
% 83.89/84.31 , Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223930, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 83.89/84.31 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223933, [ =( multiply( inverse( inverse( X ) ),
% 83.89/84.31 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 83.89/84.31 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 83.89/84.31 , 0, clause( 223930, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 83.89/84.31 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223943, [ =( multiply( inverse( inverse( X ) ),
% 83.89/84.31 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 223933, [ =( multiply( inverse( inverse( X ) ),
% 83.89/84.31 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 83.89/84.31 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223945, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 83.89/84.31 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 223943, [ =( multiply( inverse( inverse( X ) ),
% 83.89/84.31 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 83.89/84.31 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223946, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 83.89/84.31 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 83.89/84.31 , clause( 223945, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 83.89/84.31 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 83.89/84.31 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 83.89/84.31 , clause( 223946, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 83.89/84.31 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223947, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, b ), a ) ) ] )
% 83.89/84.31 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, b ),
% 83.89/84.31 a ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223950, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( a, 'greatest_lower_bound'( X, b ) ) ) ] )
% 83.89/84.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , 0, clause( 223947, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, b ), a ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, b ) ), :=( Y,
% 83.89/84.31 a )] ), substitution( 1, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223963, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b ) ) ] )
% 83.89/84.31 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 223950, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( a, 'greatest_lower_bound'( X, b ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, b )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223964, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X )
% 83.89/84.31 , b ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.31 , clause( 223963, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 191, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b
% 83.89/84.31 ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.31 , clause( 223964, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X
% 83.89/84.31 ), b ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223965, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223966, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.31 , Y ) ) ] )
% 83.89/84.31 , clause( 82, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223967, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 83.89/84.31 , clause( 223965, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 83.89/84.31 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 223966, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 83.89/84.31 , Y ), Y ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 substitution( 1, [ :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223968, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ), X ) ) ] )
% 83.89/84.31 , clause( 223965, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 83.89/84.31 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 223967, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223971, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 83.89/84.31 , clause( 223968, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 273, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ), Z ), Z ) ] )
% 83.89/84.31 , clause( 223971, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ), X ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223973, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223974, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 83.89/84.31 X ) ) ) ] )
% 83.89/84.31 , clause( 63, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223975, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 83.89/84.31 , clause( 223973, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 83.89/84.31 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 223974, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 Y, X ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223976, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 83.89/84.31 , clause( 223973, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z
% 83.89/84.31 ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 223975, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223979, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , clause( 223976, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 274, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ) ), Z ) ] )
% 83.89/84.31 , clause( 223979, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223982, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ), Y ) ) ] )
% 83.89/84.31 , clause( 273, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ), Z ), Z ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223986, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 223982, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), Z ), Y ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 83.89/84.31 :=( X, Y ), :=( Y, 'least_upper_bound'( X, Y ) ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223987, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ), Y ) ) ] )
% 83.89/84.31 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 83.89/84.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 223986, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y,
% 83.89/84.31 X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223988, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ), Y ), 'least_upper_bound'( X, Y ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 223987, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ), Y ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 327, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Z ), Y ), X ), 'least_upper_bound'( Y, X ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 223988, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ), Y ), 'least_upper_bound'( X, Y ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223990, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , clause( 274, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, Z ), X ) ), Z ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 223994, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 223990, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223996, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 83.89/84.31 , clause( 223994, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 337, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 83.89/84.31 , clause( 223996, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 223998, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 83.89/84.31 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224001, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 83.89/84.31 ), 'greatest_lower_bound'( X, 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 Y, X ), Z ) ) ) ] )
% 83.89/84.31 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 223998, [ =( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 'least_upper_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, 'least_upper_bound'( Y, X ) ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224003, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 224001, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 83.89/84.31 , X ) ), 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224005, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , clause( 224003, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 398, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , clause( 224005, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224008, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224022, [ =( 'greatest_lower_bound'( X, T ), 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( T, X ), 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 Y, X ), Z ) ) ) ] )
% 83.89/84.31 , clause( 398, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224008, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 83.89/84.31 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 83.89/84.31 ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( Y, X ), Z ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224026, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 83.89/84.31 , 'least_upper_bound'( 'least_upper_bound'( Z, X ), T ) ),
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , clause( 224022, [ =( 'greatest_lower_bound'( X, T ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ),
% 83.89/84.31 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 409, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T, X ),
% 83.89/84.31 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ),
% 83.89/84.31 'greatest_lower_bound'( X, T ) ) ] )
% 83.89/84.31 , clause( 224026, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 83.89/84.31 ), 'least_upper_bound'( 'least_upper_bound'( Z, X ), T ) ),
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224029, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224032, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224029, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 83.89/84.31 ), Y ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, identity )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , clause( 224032, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224037, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224040, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, clause( 224037, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 83.89/84.31 ), Y ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, inverse( X ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 534, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , clause( 224040, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224043, [ =( X, multiply( X, identity ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224046, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224043, [ =( X, multiply( X, identity ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 83.89/84.31 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224047, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224046, [ =( inverse( inverse( X ) ), multiply( X, identity )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , clause( 224047, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224050, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 83.89/84.31 , identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224052, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 83.89/84.31 inverse( Y ) ) ) ] )
% 83.89/84.31 , clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224050, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, inverse( Y ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224053, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224052, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 83.89/84.31 ), inverse( Y ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224054, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 83.89/84.31 , clause( 224053, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 558, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 83.89/84.31 , clause( 224054, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224056, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224058, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 534, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , 0, clause( 224056, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224061, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 83.89/84.31 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , clause( 224058, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 83.89/84.31 ) ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 578, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 83.89/84.31 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , clause( 224061, [ =( 'greatest_lower_bound'( identity, multiply( Y,
% 83.89/84.31 inverse( X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224064, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 83.89/84.31 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 83.89/84.31 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224066, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 83.89/84.31 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 83.89/84.31 , clause( 534, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , 0, clause( 224064, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 83.89/84.31 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224069, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 83.89/84.31 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , clause( 224066, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X )
% 83.89/84.31 ), 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 580, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 83.89/84.31 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , clause( 224069, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 83.89/84.31 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224072, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 83.89/84.31 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224073, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 534, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 83.89/84.31 , 0, clause( 224072, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 83.89/84.31 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 582, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 83.89/84.31 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 224073, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 83.89/84.31 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224078, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 83.89/84.31 , clause( 558, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224083, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 83.89/84.31 identity, inverse( Y ) ) ) ] )
% 83.89/84.31 , clause( 24, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 83.89/84.31 ), identity ) ] )
% 83.89/84.31 , 0, clause( 224078, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224084, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224083, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 83.89/84.31 multiply( identity, inverse( Y ) ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 83.89/84.31 :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 224084, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 83.89/84.31 Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224086, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224090, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 83.89/84.31 inverse( multiply( X, Y ) ) ) ) ] )
% 83.89/84.31 , clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224086, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 83.89/84.31 ), X ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224091, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 168, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224090, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 83.89/84.31 inverse( multiply( X, Y ) ) ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 83.89/84.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224092, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 224091, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 83.89/84.31 ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 592, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 224092, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 83.89/84.31 X ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224094, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 83.89/84.31 , clause( 558, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224097, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 83.89/84.31 inverse( X ) ) ) ] )
% 83.89/84.31 , clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224094, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 83.89/84.31 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224098, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 83.89/84.31 multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 224097, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y )
% 83.89/84.31 , inverse( X ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 593, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 83.89/84.31 X, Y ) ) ) ] )
% 83.89/84.31 , clause( 224098, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 83.89/84.31 multiply( X, Y ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224100, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 83.89/84.31 , identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224106, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 83.89/84.31 identity ), multiply( inverse( Y ), X ) ) ] )
% 83.89/84.31 , clause( 586, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224100, [ =( multiply( X, identity ), multiply( multiply( X,
% 83.89/84.31 inverse( Y ) ), Y ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 83.89/84.31 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 83.89/84.31 , X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224107, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 83.89/84.31 inverse( Y ), X ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224106, [ =( multiply( inverse( multiply( inverse( X ), Y ) )
% 83.89/84.31 , identity ), multiply( inverse( Y ), X ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 83.89/84.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 594, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 83.89/84.31 Y ), X ) ) ] )
% 83.89/84.31 , clause( 224107, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 83.89/84.31 inverse( Y ), X ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224109, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 592, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224112, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 83.89/84.31 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 83.89/84.31 , clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 83.89/84.31 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 83.89/84.31 , 0, clause( 224109, [ =( inverse( Y ), multiply( X, inverse( multiply( Y,
% 83.89/84.31 X ) ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 83.89/84.31 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224115, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 83.89/84.31 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 592, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224112, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 83.89/84.31 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 83.89/84.31 ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 83.89/84.31 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 787, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 224115, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 83.89/84.31 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224116, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224117, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 787, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , 0, clause( 224116, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 83.89/84.31 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224120, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 83.89/84.31 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 83.89/84.31 , clause( 224117, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 83.89/84.31 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 804, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 83.89/84.31 , clause( 224120, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) )
% 83.89/84.31 , 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224122, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 83.89/84.31 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 83.89/84.31 , clause( 75, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 83.89/84.31 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224125, [ =( multiply( inverse( b ), b ), 'least_upper_bound'(
% 83.89/84.31 multiply( inverse( b ), identity ), identity ) ) ] )
% 83.89/84.31 , clause( 66, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 83.89/84.31 , 0, clause( 224122, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 83.89/84.31 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 83.89/84.31 identity )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224126, [ =( multiply( inverse( b ), b ), 'least_upper_bound'(
% 83.89/84.31 inverse( b ), identity ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224125, [ =( multiply( inverse( b ), b ), 'least_upper_bound'(
% 83.89/84.31 multiply( inverse( b ), identity ), identity ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, inverse( b ) )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224127, [ =( identity, 'least_upper_bound'( inverse( b ), identity
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 83.89/84.31 , 0, clause( 224126, [ =( multiply( inverse( b ), b ), 'least_upper_bound'(
% 83.89/84.31 inverse( b ), identity ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224128, [ =( 'least_upper_bound'( inverse( b ), identity ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , clause( 224127, [ =( identity, 'least_upper_bound'( inverse( b ),
% 83.89/84.31 identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1036, [ =( 'least_upper_bound'( inverse( b ), identity ), identity
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 224128, [ =( 'least_upper_bound'( inverse( b ), identity ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224131, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 83.89/84.31 Y, identity ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 83.89/84.31 :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1040, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 83.89/84.31 , clause( 224131, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224134, [ =( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, identity ), a ) ) ] )
% 83.89/84.31 , clause( 79, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 83.89/84.31 , a ), 'least_upper_bound'( X, a ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224136, [ =( 'least_upper_bound'( inverse( b ), a ),
% 83.89/84.31 'least_upper_bound'( identity, a ) ) ] )
% 83.89/84.31 , clause( 1036, [ =( 'least_upper_bound'( inverse( b ), identity ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , 0, clause( 224134, [ =( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, identity ), a ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224137, [ =( 'least_upper_bound'( inverse( b ), a ), a ) ] )
% 83.89/84.31 , clause( 78, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 83.89/84.31 , 0, clause( 224136, [ =( 'least_upper_bound'( inverse( b ), a ),
% 83.89/84.31 'least_upper_bound'( identity, a ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1173, [ =( 'least_upper_bound'( inverse( b ), a ), a ) ] )
% 83.89/84.31 , clause( 224137, [ =( 'least_upper_bound'( inverse( b ), a ), a ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224140, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224141, [ =( inverse( b ), 'greatest_lower_bound'( a, inverse( b )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 1173, [ =( 'least_upper_bound'( inverse( b ), a ), a ) ] )
% 83.89/84.31 , 0, clause( 224140, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 83.89/84.31 , Y ), X ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 83.89/84.31 :=( Y, a )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224142, [ =( 'greatest_lower_bound'( a, inverse( b ) ), inverse( b
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 224141, [ =( inverse( b ), 'greatest_lower_bound'( a, inverse( b
% 83.89/84.31 ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1263, [ =( 'greatest_lower_bound'( a, inverse( b ) ), inverse( b )
% 83.89/84.31 ) ] )
% 83.89/84.31 , clause( 224142, [ =( 'greatest_lower_bound'( a, inverse( b ) ), inverse(
% 83.89/84.31 b ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224144, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 87, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 83.89/84.31 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224146, [ =( multiply( inverse( a ), identity ),
% 83.89/84.31 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ] )
% 83.89/84.31 , clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.31 , 0, clause( 224144, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X
% 83.89/84.31 , Y ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224147, [ =( inverse( a ), 'greatest_lower_bound'( identity,
% 83.89/84.31 multiply( inverse( a ), b ) ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224146, [ =( multiply( inverse( a ), identity ),
% 83.89/84.31 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, inverse( a ) )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224148, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a
% 83.89/84.31 ), b ) ), inverse( a ) ) ] )
% 83.89/84.31 , clause( 224147, [ =( inverse( a ), 'greatest_lower_bound'( identity,
% 83.89/84.31 multiply( inverse( a ), b ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1398, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a )
% 83.89/84.31 , b ) ), inverse( a ) ) ] )
% 83.89/84.31 , clause( 224148, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 83.89/84.31 a ), b ) ), inverse( a ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224150, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 83.89/84.31 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 88, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 83.89/84.31 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224152, [ =( multiply( inverse( b ), identity ),
% 83.89/84.31 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ) ) ] )
% 83.89/84.31 , clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 83.89/84.31 , 0, clause( 224150, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224153, [ =( inverse( b ), 'greatest_lower_bound'( multiply(
% 83.89/84.31 inverse( b ), a ), identity ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224152, [ =( multiply( inverse( b ), identity ),
% 83.89/84.31 'greatest_lower_bound'( multiply( inverse( b ), a ), identity ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, inverse( b ) )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224154, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 83.89/84.31 identity ), inverse( b ) ) ] )
% 83.89/84.31 , clause( 224153, [ =( inverse( b ), 'greatest_lower_bound'( multiply(
% 83.89/84.31 inverse( b ), a ), identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1478, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 83.89/84.31 identity ), inverse( b ) ) ] )
% 83.89/84.31 , clause( 224154, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a )
% 83.89/84.31 , identity ), inverse( b ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224156, [ =( identity, multiply( inverse( 'greatest_lower_bound'( X
% 83.89/84.31 , Y ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 804, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224159, [ =( identity, multiply( inverse( inverse( b ) ),
% 83.89/84.31 'greatest_lower_bound'( inverse( b ), a ) ) ) ] )
% 83.89/84.31 , clause( 1263, [ =( 'greatest_lower_bound'( a, inverse( b ) ), inverse( b
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, clause( 224156, [ =( identity, multiply( inverse(
% 83.89/84.31 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y,
% 83.89/84.31 inverse( b ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224161, [ =( identity, multiply( b, 'greatest_lower_bound'( inverse(
% 83.89/84.31 b ), a ) ) ) ] )
% 83.89/84.31 , clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224159, [ =( identity, multiply( inverse( inverse( b ) ),
% 83.89/84.31 'greatest_lower_bound'( inverse( b ), a ) ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224162, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 83.89/84.31 b, a ) ) ) ] )
% 83.89/84.31 , clause( 582, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, clause( 224161, [ =( identity, multiply( b, 'greatest_lower_bound'(
% 83.89/84.31 inverse( b ), a ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224163, [ =( 'greatest_lower_bound'( identity, multiply( b, a ) ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , clause( 224162, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 83.89/84.31 b, a ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1506, [ =( 'greatest_lower_bound'( identity, multiply( b, a ) ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , clause( 224163, [ =( 'greatest_lower_bound'( identity, multiply( b, a ) )
% 83.89/84.31 , identity ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 83.89/84.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224166, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 83.89/84.31 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 1040, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 83.89/84.31 , 0, clause( 224165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 83.89/84.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 83.89/84.31 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 1739, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 83.89/84.31 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , clause( 224166, [ =( multiply( 'greatest_lower_bound'( multiply( X,
% 83.89/84.31 inverse( Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) )
% 83.89/84.31 ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224171, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 83.89/84.31 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 83.89/84.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224173, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( multiply( b, a ), X ) ) ) ] )
% 83.89/84.31 , clause( 1506, [ =( 'greatest_lower_bound'( identity, multiply( b, a ) ),
% 83.89/84.31 identity ) ] )
% 83.89/84.31 , 0, clause( 224171, [ =( multiply( 'greatest_lower_bound'( identity, Y ),
% 83.89/84.31 X ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 83.89/84.31 multiply( b, a ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224174, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( b, a
% 83.89/84.31 ), X ) ) ) ] )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224173, [ =( multiply( identity, X ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( multiply( b, a ), X ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224175, [ =( 'greatest_lower_bound'( X, multiply( multiply( b, a )
% 83.89/84.31 , X ) ), X ) ] )
% 83.89/84.31 , clause( 224174, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( b
% 83.89/84.31 , a ), X ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 2615, [ =( 'greatest_lower_bound'( X, multiply( multiply( b, a ), X
% 83.89/84.31 ) ), X ) ] )
% 83.89/84.31 , clause( 224175, [ =( 'greatest_lower_bound'( X, multiply( multiply( b, a
% 83.89/84.31 ), X ) ), X ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224177, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 83.89/84.31 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 83.89/84.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224179, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( a, X ) ) ) ] )
% 83.89/84.31 , clause( 15, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 83.89/84.31 , 0, clause( 224177, [ =( multiply( 'greatest_lower_bound'( identity, Y ),
% 83.89/84.31 X ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224180, [ =( X, 'greatest_lower_bound'( X, multiply( a, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224179, [ =( multiply( identity, X ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( a, X ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224181, [ =( 'greatest_lower_bound'( X, multiply( a, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 224180, [ =( X, 'greatest_lower_bound'( X, multiply( a, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 2685, [ =( 'greatest_lower_bound'( X, multiply( a, X ) ), X ) ] )
% 83.89/84.31 , clause( 224181, [ =( 'greatest_lower_bound'( X, multiply( a, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224183, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 83.89/84.31 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 121, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 83.89/84.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224185, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( c, X ) ) ) ] )
% 83.89/84.31 , clause( 17, [ =( 'greatest_lower_bound'( identity, c ), identity ) ] )
% 83.89/84.31 , 0, clause( 224183, [ =( multiply( 'greatest_lower_bound'( identity, Y ),
% 83.89/84.31 X ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, c )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224186, [ =( X, 'greatest_lower_bound'( X, multiply( c, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224185, [ =( multiply( identity, X ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( c, X ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224187, [ =( 'greatest_lower_bound'( X, multiply( c, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 224186, [ =( X, 'greatest_lower_bound'( X, multiply( c, X ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 2687, [ =( 'greatest_lower_bound'( X, multiply( c, X ) ), X ) ] )
% 83.89/84.31 , clause( 224187, [ =( 'greatest_lower_bound'( X, multiply( c, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224189, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , clause( 31, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224203, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), multiply( a, X ) ) ) ] )
% 83.89/84.31 , clause( 2685, [ =( 'greatest_lower_bound'( X, multiply( a, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 224189, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 83.89/84.31 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 83.89/84.31 ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 83.89/84.31 :=( Y, X ), :=( Z, multiply( a, X ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224207, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 83.89/84.31 , multiply( a, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , clause( 224203, [ =( 'greatest_lower_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), multiply( a, X )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 2717, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 83.89/84.31 multiply( a, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , clause( 224207, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 83.89/84.31 ), multiply( a, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.89/84.31 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224211, [ =( 'least_upper_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 X, identity ) ) ) ] )
% 83.89/84.31 , clause( 125, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, a ),
% 83.89/84.31 'least_upper_bound'( X, identity ) ), 'least_upper_bound'( X, identity )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224216, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X ),
% 83.89/84.31 identity ), 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ) ] )
% 83.89/84.31 , clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 224211, [ =( 'least_upper_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( X, a ), 'least_upper_bound'(
% 83.89/84.31 X, identity ) ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 83.89/84.31 :=( X, 'greatest_lower_bound'( a, X ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224221, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ] )
% 83.89/84.31 , clause( 224216, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, X )
% 83.89/84.31 , identity ), 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 2940, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ] )
% 83.89/84.31 , clause( 224221, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224223, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 83.89/84.31 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 83.89/84.31 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224229, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( X, multiply( c, identity ) ) ) ) ] )
% 83.89/84.31 , clause( 2687, [ =( 'greatest_lower_bound'( X, multiply( c, X ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, clause( 224223, [ =( multiply( X, 'greatest_lower_bound'( identity, Y
% 83.89/84.31 ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 83.89/84.31 X ), :=( Y, multiply( c, identity ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224231, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( multiply( X, c ), identity ) ) ) ] )
% 83.89/84.31 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.31 ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 224229, [ =( multiply( X, identity ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( X, multiply( c, identity ) ) ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, identity )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224233, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 83.89/84.31 multiply( X, c ) ) ) ] )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224231, [ =( multiply( X, identity ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( multiply( X, c ), identity ) ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, multiply( X, c ) )] ), substitution( 1, [
% 83.89/84.31 :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224235, [ =( X, 'greatest_lower_bound'( X, multiply( X, c ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 527, [ =( multiply( X, identity ), X ) ] )
% 83.89/84.31 , 0, clause( 224233, [ =( multiply( X, identity ), 'greatest_lower_bound'(
% 83.89/84.31 X, multiply( X, c ) ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224236, [ =( 'greatest_lower_bound'( X, multiply( X, c ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 224235, [ =( X, 'greatest_lower_bound'( X, multiply( X, c ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 4154, [ =( 'greatest_lower_bound'( X, multiply( X, c ) ), X ) ] )
% 83.89/84.31 , clause( 224236, [ =( 'greatest_lower_bound'( X, multiply( X, c ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224238, [ =( X, 'greatest_lower_bound'( X, multiply( X, c ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 4154, [ =( 'greatest_lower_bound'( X, multiply( X, c ) ), X ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224239, [ =( multiply( X, inverse( c ) ), 'greatest_lower_bound'(
% 83.89/84.31 multiply( X, inverse( c ) ), X ) ) ] )
% 83.89/84.31 , clause( 1040, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 83.89/84.31 , 0, clause( 224238, [ =( X, 'greatest_lower_bound'( X, multiply( X, c ) )
% 83.89/84.31 ) ] )
% 83.89/84.31 , 0, 10, substitution( 0, [ :=( X, c ), :=( Y, X )] ), substitution( 1, [
% 83.89/84.31 :=( X, multiply( X, inverse( c ) ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224240, [ =( 'greatest_lower_bound'( multiply( X, inverse( c ) ), X
% 83.89/84.31 ), multiply( X, inverse( c ) ) ) ] )
% 83.89/84.31 , clause( 224239, [ =( multiply( X, inverse( c ) ), 'greatest_lower_bound'(
% 83.89/84.31 multiply( X, inverse( c ) ), X ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 4272, [ =( 'greatest_lower_bound'( multiply( X, inverse( c ) ), X )
% 83.89/84.31 , multiply( X, inverse( c ) ) ) ] )
% 83.89/84.31 , clause( 224240, [ =( 'greatest_lower_bound'( multiply( X, inverse( c ) )
% 83.89/84.31 , X ), multiply( X, inverse( c ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224242, [ =( 'least_upper_bound'( Z, X ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 83.89/84.31 , clause( 327, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Z ), Y ), X ), 'least_upper_bound'( Y, X ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224247, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 83.89/84.31 ), 'least_upper_bound'( 'least_upper_bound'( 'greatest_lower_bound'( Z,
% 83.89/84.31 Y ), X ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , clause( 409, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T, X )
% 83.89/84.31 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ),
% 83.89/84.31 'greatest_lower_bound'( X, T ) ) ] )
% 83.89/84.31 , 0, clause( 224242, [ =( 'least_upper_bound'( Z, X ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, Y )] )
% 83.89/84.31 , substitution( 1, [ :=( X, 'greatest_lower_bound'( Y, Z ) ), :=( Y,
% 83.89/84.31 'least_upper_bound'( 'least_upper_bound'( T, Z ), U ) ), :=( Z, X )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224248, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, Y ), X ), 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , clause( 224247, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 83.89/84.31 ) ), 'least_upper_bound'( 'least_upper_bound'( 'greatest_lower_bound'( Z
% 83.89/84.31 , Y ), X ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 18131, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), U ), 'greatest_lower_bound'( X, Y ) ),
% 83.89/84.31 'least_upper_bound'( U, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , clause( 224248, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Z, Y ), X ), 'greatest_lower_bound'( Y, Z ) ),
% 83.89/84.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224250, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 83.89/84.31 , clause( 337, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 83.89/84.31 'greatest_lower_bound'( X, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224254, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 83.89/84.31 ), 'least_upper_bound'( 'least_upper_bound'( 'greatest_lower_bound'( X,
% 83.89/84.31 Y ), Z ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 409, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( T, X )
% 83.89/84.31 , 'least_upper_bound'( 'least_upper_bound'( Y, X ), Z ) ),
% 83.89/84.31 'greatest_lower_bound'( X, T ) ) ] )
% 83.89/84.31 , 0, clause( 224250, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 83.89/84.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( X, Z ) ) ) ] )
% 83.89/84.31 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, U ), :=( T, X )] )
% 83.89/84.31 , substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )
% 83.89/84.31 , :=( Z, 'least_upper_bound'( 'least_upper_bound'( T, Y ), U ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224255, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z
% 83.89/84.31 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , clause( 18131, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( Y, X ), U ), 'greatest_lower_bound'( X, Y ) ),
% 83.89/84.31 'least_upper_bound'( U, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 83.89/84.31 , 0, clause( 224254, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 83.89/84.31 ), Z ), 'least_upper_bound'( 'least_upper_bound'( 'greatest_lower_bound'(
% 83.89/84.31 X, Y ), Z ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 83.89/84.31 :=( U, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224256, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 83.89/84.31 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , clause( 224255, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 83.89/84.31 , Z ), 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 18138, [ =( 'least_upper_bound'( U, 'greatest_lower_bound'( Y, X )
% 83.89/84.31 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), U ) ) ] )
% 83.89/84.31 , clause( 224256, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X
% 83.89/84.31 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U )] ),
% 83.89/84.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224258, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 83.89/84.31 ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , clause( 578, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 83.89/84.31 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224264, [ =( multiply( inverse( b ), inverse( multiply( inverse( b
% 83.89/84.31 ), a ) ) ), 'greatest_lower_bound'( identity, multiply( identity,
% 83.89/84.31 inverse( multiply( inverse( b ), a ) ) ) ) ) ] )
% 83.89/84.31 , clause( 1478, [ =( 'greatest_lower_bound'( multiply( inverse( b ), a ),
% 83.89/84.31 identity ), inverse( b ) ) ] )
% 83.89/84.31 , 0, clause( 224258, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 83.89/84.31 Y ) ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) )
% 83.89/84.31 ] )
% 83.89/84.31 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 83.89/84.31 , multiply( inverse( b ), a ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224265, [ =( multiply( inverse( b ), inverse( multiply( inverse( b
% 83.89/84.31 ), a ) ) ), 'greatest_lower_bound'( identity, inverse( multiply( inverse(
% 83.89/84.31 b ), a ) ) ) ) ] )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224264, [ =( multiply( inverse( b ), inverse( multiply(
% 83.89/84.31 inverse( b ), a ) ) ), 'greatest_lower_bound'( identity, multiply(
% 83.89/84.31 identity, inverse( multiply( inverse( b ), a ) ) ) ) ) ] )
% 83.89/84.31 , 0, 11, substitution( 0, [ :=( X, inverse( multiply( inverse( b ), a ) ) )] )
% 83.89/84.31 , substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224267, [ =( multiply( inverse( b ), inverse( multiply( inverse( b
% 83.89/84.31 ), a ) ) ), 'greatest_lower_bound'( identity, multiply( inverse( a ), b
% 83.89/84.31 ) ) ) ] )
% 83.89/84.31 , clause( 594, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 83.89/84.31 inverse( Y ), X ) ) ] )
% 83.89/84.31 , 0, clause( 224265, [ =( multiply( inverse( b ), inverse( multiply(
% 83.89/84.31 inverse( b ), a ) ) ), 'greatest_lower_bound'( identity, inverse(
% 83.89/84.31 multiply( inverse( b ), a ) ) ) ) ] )
% 83.89/84.31 , 0, 11, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224268, [ =( multiply( inverse( b ), multiply( inverse( a ), b ) )
% 83.89/84.31 , 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ] )
% 83.89/84.31 , clause( 594, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 83.89/84.31 inverse( Y ), X ) ) ] )
% 83.89/84.31 , 0, clause( 224267, [ =( multiply( inverse( b ), inverse( multiply(
% 83.89/84.31 inverse( b ), a ) ) ), 'greatest_lower_bound'( identity, multiply(
% 83.89/84.31 inverse( a ), b ) ) ) ] )
% 83.89/84.31 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224270, [ =( multiply( inverse( b ), multiply( inverse( a ), b ) )
% 83.89/84.31 , inverse( a ) ) ] )
% 83.89/84.31 , clause( 1398, [ =( 'greatest_lower_bound'( identity, multiply( inverse( a
% 83.89/84.31 ), b ) ), inverse( a ) ) ] )
% 83.89/84.31 , 0, clause( 224268, [ =( multiply( inverse( b ), multiply( inverse( a ), b
% 83.89/84.31 ) ), 'greatest_lower_bound'( identity, multiply( inverse( a ), b ) ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224271, [ =( multiply( multiply( inverse( b ), inverse( a ) ), b )
% 83.89/84.31 , inverse( a ) ) ] )
% 83.89/84.31 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.31 ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 224270, [ =( multiply( inverse( b ), multiply( inverse( a ), b
% 83.89/84.31 ) ), inverse( a ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, inverse( a ) ),
% 83.89/84.31 :=( Z, b )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224272, [ =( multiply( inverse( multiply( a, b ) ), b ), inverse( a
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 593, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 83.89/84.31 multiply( X, Y ) ) ) ] )
% 83.89/84.31 , 0, clause( 224271, [ =( multiply( multiply( inverse( b ), inverse( a ) )
% 83.89/84.31 , b ), inverse( a ) ) ] )
% 83.89/84.31 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 31857, [ =( multiply( inverse( multiply( a, b ) ), b ), inverse( a
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 224272, [ =( multiply( inverse( multiply( a, b ) ), b ), inverse(
% 83.89/84.31 a ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224275, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 592, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224278, [ =( inverse( inverse( multiply( a, b ) ) ), multiply( b,
% 83.89/84.31 inverse( inverse( a ) ) ) ) ] )
% 83.89/84.31 , clause( 31857, [ =( multiply( inverse( multiply( a, b ) ), b ), inverse(
% 83.89/84.31 a ) ) ] )
% 83.89/84.31 , 0, clause( 224275, [ =( inverse( Y ), multiply( X, inverse( multiply( Y,
% 83.89/84.31 X ) ) ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 83.89/84.31 inverse( multiply( a, b ) ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224280, [ =( inverse( inverse( multiply( a, b ) ) ), multiply( b, a
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224278, [ =( inverse( inverse( multiply( a, b ) ) ), multiply(
% 83.89/84.31 b, inverse( inverse( a ) ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224282, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 83.89/84.31 , clause( 555, [ =( inverse( inverse( X ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224280, [ =( inverse( inverse( multiply( a, b ) ) ), multiply(
% 83.89/84.31 b, a ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, multiply( a, b ) )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 31986, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 83.89/84.31 , clause( 224282, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224285, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b ) ) ] )
% 83.89/84.31 , clause( 191, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( a, X )
% 83.89/84.31 , b ), 'greatest_lower_bound'( X, identity ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224287, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( 'greatest_lower_bound'( a, X
% 83.89/84.31 ), identity ), b ) ) ] )
% 83.89/84.31 , clause( 2940, [ =( 'greatest_lower_bound'( a, 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ), 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ) ) ] )
% 83.89/84.31 , 0, clause( 224285, [ =( 'greatest_lower_bound'( X, identity ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( a, X ), b ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( a, X ), identity ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224288, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ) ) ] )
% 83.89/84.31 , clause( 44, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 83.89/84.31 , X ) ] )
% 83.89/84.31 , 0, clause( 224287, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), identity ),
% 83.89/84.31 'greatest_lower_bound'( 'least_upper_bound'( 'greatest_lower_bound'( a, X
% 83.89/84.31 ), identity ), b ) ) ] )
% 83.89/84.31 , 0, 1, substitution( 0, [ :=( X, identity ), :=( Y, 'greatest_lower_bound'(
% 83.89/84.31 a, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224289, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ), identity ) ] )
% 83.89/84.31 , clause( 224288, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( a, X ), identity ), b ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 222679, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ), identity ) ] )
% 83.89/84.31 , clause( 224289, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ), identity ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224290, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 83.89/84.31 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , clause( 18138, [ =( 'least_upper_bound'( U, 'greatest_lower_bound'( Y, X
% 83.89/84.31 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), U ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, U ),
% 83.89/84.31 :=( U, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224291, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ) ) ] )
% 83.89/84.31 , clause( 222679, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 'greatest_lower_bound'( a, X ), identity ), b ), identity ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224292, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, 'greatest_lower_bound'( X, a ) ), b ) ) ] )
% 83.89/84.31 , clause( 224290, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y )
% 83.89/84.31 , X ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 83.89/84.31 , 0, clause( 224291, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( 'greatest_lower_bound'( a, X ), identity ), b ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, a )] ),
% 83.89/84.31 substitution( 1, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224293, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.31 , 'greatest_lower_bound'( X, a ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224292, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( identity, 'greatest_lower_bound'( X, a ) ), b ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 222704, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.31 , 'greatest_lower_bound'( X, a ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224293, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, 'greatest_lower_bound'( X, a ) ), b ), identity ) ] )
% 83.89/84.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224295, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, 'greatest_lower_bound'( X, a ) ), b ) ) ] )
% 83.89/84.31 , clause( 222704, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, 'greatest_lower_bound'( X, a ) ), b ), identity ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224296, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, multiply( a, inverse( c ) ) ), b ) ) ] )
% 83.89/84.31 , clause( 4272, [ =( 'greatest_lower_bound'( multiply( X, inverse( c ) ), X
% 83.89/84.31 ), multiply( X, inverse( c ) ) ) ] )
% 83.89/84.31 , 0, clause( 224295, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( identity, 'greatest_lower_bound'( X, a ) ), b ) ) ]
% 83.89/84.31 )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X,
% 83.89/84.31 multiply( a, inverse( c ) ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224297, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.31 , multiply( a, inverse( c ) ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224296, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( identity, multiply( a, inverse( c ) ) ), b ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 222958, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 83.89/84.31 , multiply( a, inverse( c ) ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224297, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, multiply( a, inverse( c ) ) ), b ), identity ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224299, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, multiply( a, inverse( c ) ) ), b ) ) ] )
% 83.89/84.31 , clause( 222958, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 83.89/84.31 identity, multiply( a, inverse( c ) ) ), b ), identity ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224300, [ =( identity, 'greatest_lower_bound'( multiply(
% 83.89/84.31 'least_upper_bound'( c, a ), inverse( c ) ), b ) ) ] )
% 83.89/84.31 , clause( 580, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 83.89/84.31 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 83.89/84.31 , 0, clause( 224299, [ =( identity, 'greatest_lower_bound'(
% 83.89/84.31 'least_upper_bound'( identity, multiply( a, inverse( c ) ) ), b ) ) ] )
% 83.89/84.31 , 0, 3, substitution( 0, [ :=( X, c ), :=( Y, a )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224301, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 83.89/84.31 c, a ), inverse( c ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224300, [ =( identity, 'greatest_lower_bound'( multiply(
% 83.89/84.31 'least_upper_bound'( c, a ), inverse( c ) ), b ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223392, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 83.89/84.31 c, a ), inverse( c ) ), b ), identity ) ] )
% 83.89/84.31 , clause( 224301, [ =( 'greatest_lower_bound'( multiply(
% 83.89/84.31 'least_upper_bound'( c, a ), inverse( c ) ), b ), identity ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224303, [ =( 'greatest_lower_bound'( X, multiply( Z, Y ) ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) ), Z ), Y ) )
% 83.89/84.31 ] )
% 83.89/84.31 , clause( 1739, [ =( multiply( 'greatest_lower_bound'( multiply( X, inverse(
% 83.89/84.31 Y ) ), Z ), Y ), 'greatest_lower_bound'( X, multiply( Z, Y ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224305, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ),
% 83.89/84.31 multiply( b, c ) ), multiply( identity, c ) ) ] )
% 83.89/84.31 , clause( 223392, [ =( 'greatest_lower_bound'( multiply(
% 83.89/84.31 'least_upper_bound'( c, a ), inverse( c ) ), b ), identity ) ] )
% 83.89/84.31 , 0, clause( 224303, [ =( 'greatest_lower_bound'( X, multiply( Z, Y ) ),
% 83.89/84.31 multiply( 'greatest_lower_bound'( multiply( X, inverse( Y ) ), Z ), Y ) )
% 83.89/84.31 ] )
% 83.89/84.31 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X,
% 83.89/84.31 'least_upper_bound'( c, a ) ), :=( Y, c ), :=( Z, b )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224306, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ),
% 83.89/84.31 multiply( b, c ) ), c ) ] )
% 83.89/84.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 83.89/84.31 , 0, clause( 224305, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a
% 83.89/84.31 ), multiply( b, c ) ), multiply( identity, c ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ),
% 83.89/84.31 multiply( b, c ) ), c ) ] )
% 83.89/84.31 , clause( 224306, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a )
% 83.89/84.31 , multiply( b, c ) ), c ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224309, [ =( 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, Y ), multiply( a, Y ) ) ) ] )
% 83.89/84.31 , clause( 2717, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 83.89/84.31 , multiply( a, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224314, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply( a,
% 83.89/84.31 multiply( b, c ) ) ) ) ] )
% 83.89/84.31 , clause( 223416, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a )
% 83.89/84.31 , multiply( b, c ) ), c ) ] )
% 83.89/84.31 , 0, clause( 224309, [ =( 'greatest_lower_bound'( Y, X ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), multiply( a, Y )
% 83.89/84.31 ) ) ] )
% 83.89/84.31 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X,
% 83.89/84.31 'least_upper_bound'( c, a ) ), :=( Y, multiply( b, c ) )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224315, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply(
% 83.89/84.31 multiply( a, b ), c ) ) ) ] )
% 83.89/84.31 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 83.89/84.31 ), Z ) ) ] )
% 83.89/84.31 , 0, clause( 224314, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply( a,
% 83.89/84.31 multiply( b, c ) ) ) ) ] )
% 83.89/84.31 , 0, 10, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 83.89/84.31 substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224316, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply(
% 83.89/84.31 multiply( b, a ), c ) ) ) ] )
% 83.89/84.31 , clause( 31986, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 83.89/84.31 , 0, clause( 224315, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply(
% 83.89/84.31 multiply( a, b ), c ) ) ) ] )
% 83.89/84.31 , 0, 11, substitution( 0, [] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224317, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), c ) ] )
% 83.89/84.31 , clause( 2615, [ =( 'greatest_lower_bound'( X, multiply( multiply( b, a )
% 83.89/84.31 , X ) ), X ) ] )
% 83.89/84.31 , 0, clause( 224316, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), 'greatest_lower_bound'( c, multiply(
% 83.89/84.31 multiply( b, a ), c ) ) ) ] )
% 83.89/84.31 , 0, 8, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223461, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), c ) ] )
% 83.89/84.31 , clause( 224317, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), c ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224320, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 83.89/84.31 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 83.89/84.31 , clause( 46, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 83.89/84.31 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224322, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ] )
% 83.89/84.31 , clause( 223461, [ =( 'greatest_lower_bound'( multiply( b, c ),
% 83.89/84.31 'least_upper_bound'( c, a ) ), c ) ] )
% 83.89/84.31 , 0, clause( 224320, [ =( 'greatest_lower_bound'( X, Z ),
% 83.89/84.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 83.89/84.31 , Z ) ), Z ) ) ] )
% 83.89/84.31 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, c ) )
% 83.89/84.31 , :=( Y, c ), :=( Z, a )] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223530, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ] )
% 83.89/84.31 , clause( 224322, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224326, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 83.89/84.31 , clause( 138, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224327, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , clause( 223530, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ] )
% 83.89/84.31 , 0, clause( 224326, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223556, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , clause( 224327, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqswap(
% 83.89/84.31 clause( 224329, [ ~( =( 'greatest_lower_bound'( c, a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , clause( 223556, [ ~( =( 'greatest_lower_bound'( a, c ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 paramod(
% 83.89/84.31 clause( 224331, [ ~( =( 'greatest_lower_bound'( c, a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 83.89/84.31 , X ) ) ] )
% 83.89/84.31 , 0, clause( 224329, [ ~( =( 'greatest_lower_bound'( c, a ),
% 83.89/84.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 83.89/84.31 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 83.89/84.31 ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 eqrefl(
% 83.89/84.31 clause( 224334, [] )
% 83.89/84.31 , clause( 224331, [ ~( =( 'greatest_lower_bound'( c, a ),
% 83.89/84.31 'greatest_lower_bound'( c, a ) ) ) ] )
% 83.89/84.31 , 0, substitution( 0, [] )).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 subsumption(
% 83.89/84.31 clause( 223559, [] )
% 83.89/84.31 , clause( 224334, [] )
% 83.89/84.31 , substitution( 0, [] ), permutation( 0, [] ) ).
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 end.
% 83.89/84.31
% 83.89/84.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 83.89/84.31
% 83.89/84.31 Memory use:
% 83.89/84.31
% 83.89/84.31 space for terms: 3086393
% 83.89/84.31 space for clauses: 19632613
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 clauses generated: 12574037
% 83.89/84.31 clauses kept: 223560
% 83.89/84.31 clauses selected: 8722
% 83.89/84.31 clauses deleted: 10736
% 83.89/84.31 clauses inuse deleted: 174
% 83.89/84.31
% 83.89/84.31 subsentry: 586713
% 83.89/84.31 literals s-matched: 584567
% 83.89/84.31 literals matched: 584391
% 83.89/84.31 full subsumption: 0
% 83.89/84.31
% 83.89/84.31 checksum: 755574117
% 83.89/84.31
% 83.89/84.31
% 83.89/84.31 Bliksem ended
%------------------------------------------------------------------------------