TSTP Solution File: GRP183-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:55 EDT 2022
% Result : Unsatisfiable 100.44s 100.84s
% Output : Refutation 100.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 10:35:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 100.44/100.84 *** allocated 10000 integers for termspace/termends
% 100.44/100.84 *** allocated 10000 integers for clauses
% 100.44/100.84 *** allocated 10000 integers for justifications
% 100.44/100.84 Bliksem 1.12
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Automatic Strategy Selection
% 100.44/100.84
% 100.44/100.84 Clauses:
% 100.44/100.84 [
% 100.44/100.84 [ =( multiply( identity, X ), X ) ],
% 100.44/100.84 [ =( multiply( inverse( X ), X ), identity ) ],
% 100.44/100.84 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 100.44/100.84 ],
% 100.44/100.84 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 100.44/100.84 ,
% 100.44/100.84 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 100.44/100.84 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.84 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 100.44/100.84 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.84 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 100.44/100.84 [ =( 'least_upper_bound'( X, X ), X ) ],
% 100.44/100.84 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 100.44/100.84 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 100.44/100.84 ,
% 100.44/100.84 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 100.44/100.84 ,
% 100.44/100.84 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 100.44/100.84 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.44/100.84 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.84 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 100.44/100.84 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 100.44/100.84 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.44/100.84 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.44/100.84 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 100.44/100.84 [ =( inverse( identity ), identity ) ],
% 100.44/100.84 [ =( inverse( inverse( X ) ), X ) ],
% 100.44/100.84 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 100.44/100.84 ) ],
% 100.44/100.84 [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a, identity ),
% 100.44/100.84 inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 100.44/100.84 ] .
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 percentage equality = 1.000000, percentage horn = 1.000000
% 100.44/100.84 This is a pure equality problem
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Options Used:
% 100.44/100.84
% 100.44/100.84 useres = 1
% 100.44/100.84 useparamod = 1
% 100.44/100.84 useeqrefl = 1
% 100.44/100.84 useeqfact = 1
% 100.44/100.84 usefactor = 1
% 100.44/100.84 usesimpsplitting = 0
% 100.44/100.84 usesimpdemod = 5
% 100.44/100.84 usesimpres = 3
% 100.44/100.84
% 100.44/100.84 resimpinuse = 1000
% 100.44/100.84 resimpclauses = 20000
% 100.44/100.84 substype = eqrewr
% 100.44/100.84 backwardsubs = 1
% 100.44/100.84 selectoldest = 5
% 100.44/100.84
% 100.44/100.84 litorderings [0] = split
% 100.44/100.84 litorderings [1] = extend the termordering, first sorting on arguments
% 100.44/100.84
% 100.44/100.84 termordering = kbo
% 100.44/100.84
% 100.44/100.84 litapriori = 0
% 100.44/100.84 termapriori = 1
% 100.44/100.84 litaposteriori = 0
% 100.44/100.84 termaposteriori = 0
% 100.44/100.84 demodaposteriori = 0
% 100.44/100.84 ordereqreflfact = 0
% 100.44/100.84
% 100.44/100.84 litselect = negord
% 100.44/100.84
% 100.44/100.84 maxweight = 15
% 100.44/100.84 maxdepth = 30000
% 100.44/100.84 maxlength = 115
% 100.44/100.84 maxnrvars = 195
% 100.44/100.84 excuselevel = 1
% 100.44/100.84 increasemaxweight = 1
% 100.44/100.84
% 100.44/100.84 maxselected = 10000000
% 100.44/100.84 maxnrclauses = 10000000
% 100.44/100.84
% 100.44/100.84 showgenerated = 0
% 100.44/100.84 showkept = 0
% 100.44/100.84 showselected = 0
% 100.44/100.84 showdeleted = 0
% 100.44/100.84 showresimp = 1
% 100.44/100.84 showstatus = 2000
% 100.44/100.84
% 100.44/100.84 prologoutput = 1
% 100.44/100.84 nrgoals = 5000000
% 100.44/100.84 totalproof = 1
% 100.44/100.84
% 100.44/100.84 Symbols occurring in the translation:
% 100.44/100.84
% 100.44/100.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 100.44/100.84 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 100.44/100.84 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 100.44/100.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.44/100.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 100.44/100.84 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 100.44/100.84 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 100.44/100.84 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 100.44/100.84 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 100.44/100.84 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 100.44/100.84 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Starting Search:
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 24108
% 100.44/100.84 Kept: 2004
% 100.44/100.84 Inuse: 200
% 100.44/100.84 Deleted: 11
% 100.44/100.84 Deletedinuse: 3
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 100836
% 100.44/100.84 Kept: 4069
% 100.44/100.84 Inuse: 431
% 100.44/100.84 Deleted: 28
% 100.44/100.84 Deletedinuse: 3
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 183877
% 100.44/100.84 Kept: 6075
% 100.44/100.84 Inuse: 629
% 100.44/100.84 Deleted: 73
% 100.44/100.84 Deletedinuse: 35
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 308255
% 100.44/100.84 Kept: 8083
% 100.44/100.84 Inuse: 789
% 100.44/100.84 Deleted: 106
% 100.44/100.84 Deletedinuse: 67
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 734920
% 100.44/100.84 Kept: 10088
% 100.44/100.84 Inuse: 1164
% 100.44/100.84 Deleted: 161
% 100.44/100.84 Deletedinuse: 67
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 1832633
% 100.44/100.84 Kept: 12095
% 100.44/100.84 Inuse: 1724
% 100.44/100.84 Deleted: 248
% 100.44/100.84 Deletedinuse: 67
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 2015770
% 100.44/100.84 Kept: 14216
% 100.44/100.84 Inuse: 1838
% 100.44/100.84 Deleted: 270
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 2099173
% 100.44/100.84 Kept: 16293
% 100.44/100.84 Inuse: 1883
% 100.44/100.84 Deleted: 272
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 2270011
% 100.44/100.84 Kept: 18294
% 100.44/100.84 Inuse: 1953
% 100.44/100.84 Deleted: 272
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying clauses:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 2472465
% 100.44/100.84 Kept: 20310
% 100.44/100.84 Inuse: 2028
% 100.44/100.84 Deleted: 2088
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 2834516
% 100.44/100.84 Kept: 22311
% 100.44/100.84 Inuse: 2162
% 100.44/100.84 Deleted: 2088
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 3278873
% 100.44/100.84 Kept: 24319
% 100.44/100.84 Inuse: 2337
% 100.44/100.84 Deleted: 2088
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 3957325
% 100.44/100.84 Kept: 26332
% 100.44/100.84 Inuse: 2586
% 100.44/100.84 Deleted: 2092
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 4863109
% 100.44/100.84 Kept: 28340
% 100.44/100.84 Inuse: 2899
% 100.44/100.84 Deleted: 2094
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 6502718
% 100.44/100.84 Kept: 30346
% 100.44/100.84 Inuse: 3345
% 100.44/100.84 Deleted: 2118
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 9605245
% 100.44/100.84 Kept: 32346
% 100.44/100.84 Inuse: 3985
% 100.44/100.84 Deleted: 2118
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 14050468
% 100.44/100.84 Kept: 34359
% 100.44/100.84 Inuse: 4937
% 100.44/100.84 Deleted: 2154
% 100.44/100.84 Deletedinuse: 68
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 18315559
% 100.44/100.84 Kept: 36359
% 100.44/100.84 Inuse: 5699
% 100.44/100.84 Deleted: 2316
% 100.44/100.84 Deletedinuse: 209
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84
% 100.44/100.84 Intermediate Status:
% 100.44/100.84 Generated: 26636209
% 100.44/100.84 Kept: 38366
% 100.44/100.84 Inuse: 6769
% 100.44/100.84 Deleted: 2380
% 100.44/100.84 Deletedinuse: 241
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84 Done
% 100.44/100.84
% 100.44/100.84 Resimplifying inuse:
% 100.44/100.84
% 100.44/100.84 Bliksems!, er is een bewijs:
% 100.44/100.84 % SZS status Unsatisfiable
% 100.44/100.84 % SZS output start Refutation
% 100.44/100.84
% 100.44/100.84 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.84 .
% 100.44/100.84 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.84 .
% 100.44/100.84 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.44/100.84 , Z ) ) ] )
% 100.44/100.84 .
% 100.44/100.84 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.44/100.85 X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.44/100.85 ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.44/100.85 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.44/100.85 ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.44/100.85 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.44/100.85 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.44/100.85 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.44/100.85 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.44/100.85 ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.44/100.85 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.44/100.85 'least_upper_bound'( Y, Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.44/100.85 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 100.44/100.85 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.44/100.85 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.44/100.85 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.44/100.85 ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 100.44/100.85 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.44/100.85 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.44/100.85 Y ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.44/100.85 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.44/100.85 ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.44/100.85 ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.44/100.85 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.44/100.85 ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.44/100.85 , a ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 100.44/100.85 )
% 100.44/100.85 .
% 100.44/100.85 clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.44/100.85 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ), X ), X ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 474, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.44/100.85 X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.44/100.85 , identity ), Y ), Y ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 509, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.44/100.85 X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.44/100.85 , Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 100.44/100.85 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 100.44/100.85 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.44/100.85 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.44/100.85 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.44/100.85 )
% 100.44/100.85 .
% 100.44/100.85 clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.44/100.85 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.44/100.85 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 2155, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 100.44/100.85 identity ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), identity )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.44/100.85 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.44/100.85 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.44/100.85 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.85 inverse( X ) ) ), X ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.44/100.85 , inverse( Y ) ) ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.44/100.85 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 5846, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.85 ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.44/100.85 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 9298, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 identity, inverse( X ) ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.85 ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.44/100.85 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.44/100.85 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 38994, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 39008, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.85 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 39079, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.44/100.85 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 39180, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 100.44/100.85 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.85 .
% 100.44/100.85 clause( 39803, [] )
% 100.44/100.85 .
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 % SZS output end Refutation
% 100.44/100.85 found a proof!
% 100.44/100.85
% 100.44/100.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.44/100.85
% 100.44/100.85 initialclauses(
% 100.44/100.85 [ clause( 39805, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , clause( 39806, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , clause( 39807, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39808, [ =( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ] )
% 100.44/100.85 , clause( 39809, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.44/100.85 X ) ) ] )
% 100.44/100.85 , clause( 39810, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.44/100.85 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , clause( 39811, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.44/100.85 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39812, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 100.44/100.85 , clause( 39813, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 100.44/100.85 , clause( 39814, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , clause( 39815, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , clause( 39816, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 39817, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 39818, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39819, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39820, [ =( inverse( identity ), identity ) ] )
% 100.44/100.85 , clause( 39821, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , clause( 39822, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.44/100.85 inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 39823, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.44/100.85 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 ] ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , clause( 39805, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , clause( 39806, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39829, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 100.44/100.85 , Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39807, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 100.44/100.85 , Z ) ) ] )
% 100.44/100.85 , clause( 39829, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 100.44/100.85 X, Y ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 100.44/100.85 X ) ) ] )
% 100.44/100.85 , clause( 39808, [ =( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 100.44/100.85 ] )
% 100.44/100.85 , clause( 39809, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 100.44/100.85 X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 100.44/100.85 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39810, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 100.44/100.85 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39811, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 100.44/100.85 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 100.44/100.85 ) ] )
% 100.44/100.85 , clause( 39814, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 39815, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39871, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.44/100.85 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39816, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 100.44/100.85 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39871, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 100.44/100.85 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39882, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 100.44/100.85 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39817, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 100.44/100.85 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 39882, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 100.44/100.85 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39894, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39818, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 100.44/100.85 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39894, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39907, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 100.44/100.85 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39819, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , clause( 39907, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 100.44/100.85 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , clause( 39821, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39938, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 39822, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 100.44/100.85 inverse( X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , clause( 39938, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.44/100.85 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 39823, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.44/100.85 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39957, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.44/100.85 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39958, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 39957, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.44/100.85 X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39959, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , clause( 39958, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , clause( 39959, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39960, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39961, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , 0, clause( 39960, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 100.44/100.85 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39964, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 39961, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 39964, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.44/100.85 X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39965, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39966, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 39965, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39969, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 39966, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 100.44/100.85 , X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 39969, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39971, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.44/100.85 Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39974, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 100.44/100.85 , identity ) ) ] )
% 100.44/100.85 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 39971, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , clause( 39974, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 100.44/100.85 X, identity ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39979, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.44/100.85 Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39984, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 100.44/100.85 , identity ) ) ] )
% 100.44/100.85 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , 0, clause( 39979, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , clause( 39984, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 100.44/100.85 X, identity ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39989, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.44/100.85 Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 39994, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 39989, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, identity ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 100.44/100.85 ] )
% 100.44/100.85 , clause( 39994, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 100.44/100.85 Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 39999, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40000, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 39999, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 100.44/100.85 , Y ), X ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40003, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 40000, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 40003, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.44/100.85 X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40005, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40008, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, clause( 40005, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.85 Y, X ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40009, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 100.44/100.85 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40008, [ =( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.44/100.85 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40009, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.44/100.85 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40011, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40014, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, clause( 40011, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40015, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40014, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40015, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 100.44/100.85 , 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40016, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40017, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , 0, clause( 40016, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40020, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 40017, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 40020, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.44/100.85 ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40021, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40022, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 40021, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 100.44/100.85 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40025, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 40022, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 40025, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40026, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40027, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 40026, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.44/100.85 Y, X ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 100.44/100.85 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40030, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 100.44/100.85 ), X ) ] )
% 100.44/100.85 , clause( 40027, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 100.44/100.85 X ) ] )
% 100.44/100.85 , clause( 40030, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 100.44/100.85 X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40032, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.44/100.85 , Y ) ) ] )
% 100.44/100.85 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40033, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.44/100.85 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40032, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.44/100.85 , Y ), Y ) ) ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40034, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40033, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.44/100.85 , clause( 40034, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40036, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40037, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.44/100.85 , X ), Y ) ) ) ] )
% 100.44/100.85 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40036, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.85 Y, X ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Z )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40038, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40037, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.44/100.85 , X ), Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.44/100.85 'least_upper_bound'( Y, Z ) ) ] )
% 100.44/100.85 , clause( 40038, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ) ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40039, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40042, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 40039, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 100.44/100.85 ), Y ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 100.44/100.85 )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , clause( 40042, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40046, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.44/100.85 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40048, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.44/100.85 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.44/100.85 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , 0, clause( 40046, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.44/100.85 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40051, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 100.44/100.85 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 40048, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 100.44/100.85 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 40051, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 100.44/100.85 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40053, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40055, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 40053, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40057, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40055, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , clause( 40057, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40059, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40061, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) ),
% 100.44/100.85 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 40059, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40064, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 100.44/100.85 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 40061, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( X ) )
% 100.44/100.85 , 'least_upper_bound'( identity, multiply( Y, inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X )
% 100.44/100.85 ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 40064, [ =( 'least_upper_bound'( identity, multiply( Y, inverse(
% 100.44/100.85 X ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40067, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40069, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 40067, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y ), :=( Z, identity )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40071, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , clause( 40069, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.44/100.85 , clause( 40071, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40073, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.44/100.85 , identity ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40076, [ =( multiply( X, identity ), multiply( identity, inverse(
% 100.44/100.85 inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 40073, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 100.44/100.85 ), inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, inverse( X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40077, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 40076, [ =( multiply( X, identity ), multiply( identity,
% 100.44/100.85 inverse( inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40078, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40077, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 100.44/100.85 ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , clause( 40078, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40081, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.44/100.85 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40082, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40081, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, identity ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40084, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , clause( 40082, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 100.44/100.85 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , clause( 40084, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 100.44/100.85 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40087, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.44/100.85 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40089, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40087, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y ), :=( Z, identity )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40091, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , clause( 40089, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) )
% 100.44/100.85 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , clause( 40091, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.44/100.85 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40093, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 100.44/100.85 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40094, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40093, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, identity ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40096, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.44/100.85 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , clause( 40094, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 100.44/100.85 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , clause( 40096, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40099, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40101, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.44/100.85 , inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.44/100.85 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.44/100.85 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.44/100.85 , identity ) ) ] )
% 100.44/100.85 , 0, clause( 40099, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40105, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.44/100.85 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40101, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y )
% 100.44/100.85 , Z ), inverse( Y ) ), 'greatest_lower_bound'( multiply( X, identity ),
% 100.44/100.85 multiply( Z, inverse( Y ) ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 100.44/100.85 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 100.44/100.85 ) ] )
% 100.44/100.85 , clause( 40105, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 100.44/100.85 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40107, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40109, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , 0, clause( 40107, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40111, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.44/100.85 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40109, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , clause( 40111, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40113, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40114, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 100.44/100.85 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 40113, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 100.44/100.85 identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40116, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.44/100.85 , clause( 40114, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y )
% 100.44/100.85 , 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 , clause( 40116, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40119, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 100.44/100.85 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40121, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 40119, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y ), :=( Z, identity )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40123, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , clause( 40121, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 100.44/100.85 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 100.44/100.85 , clause( 40123, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40125, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40127, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 100.44/100.85 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 100.44/100.85 multiply( Z, Y ) ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40125, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, inverse( Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40129, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 100.44/100.85 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 100.44/100.85 Y ) ), inverse( Z ) ) ) ] )
% 100.44/100.85 , clause( 40127, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 100.44/100.85 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), inverse(
% 100.44/100.85 multiply( Z, Y ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ), inverse(
% 100.44/100.85 multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse( X ) ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 40129, [ =( 'least_upper_bound'( multiply( X, inverse( Z ) ),
% 100.44/100.85 inverse( multiply( Z, Y ) ) ), multiply( 'least_upper_bound'( X, inverse(
% 100.44/100.85 Y ) ), inverse( Z ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40131, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 100.44/100.85 Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40135, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) ),
% 100.44/100.85 multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40131, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 100.44/100.85 multiply( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, inverse( Z ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.44/100.85 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.44/100.85 , clause( 40135, [ =( multiply( multiply( X, inverse( Y ) ), inverse( Z ) )
% 100.44/100.85 , multiply( X, inverse( multiply( Z, Y ) ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40139, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40140, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.44/100.85 inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40139, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.44/100.85 ), inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.44/100.85 Y ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 40140, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 100.44/100.85 inverse( X ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40145, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40147, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.44/100.85 inverse( Y ), X ) ) ] )
% 100.44/100.85 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40145, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.44/100.85 ), inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.44/100.85 :=( Y, inverse( X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 100.44/100.85 Y ), X ) ) ] )
% 100.44/100.85 , clause( 40147, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.44/100.85 inverse( Y ), X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40151, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40157, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 100.44/100.85 multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40151, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 100.44/100.85 ), inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, Z ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40158, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) ),
% 100.44/100.85 multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40157, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z
% 100.44/100.85 ) ), multiply( inverse( Z ), multiply( Y, inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, Y ), :=( Z,
% 100.44/100.85 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40159, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.44/100.85 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.44/100.85 , clause( 40158, [ =( inverse( multiply( multiply( X, inverse( Y ) ), Z ) )
% 100.44/100.85 , multiply( multiply( inverse( Z ), Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.44/100.85 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.44/100.85 , clause( 40159, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) )
% 100.44/100.85 , inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40161, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ) ] )
% 100.44/100.85 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40167, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.44/100.85 multiply( Y, identity ) ) ) ] )
% 100.44/100.85 , clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 100.44/100.85 , identity ) ) ] )
% 100.44/100.85 , 0, clause( 40161, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 100.44/100.85 , inverse( Y ) ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40168, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse( Y
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40167, [ =( multiply( X, inverse( multiply( Y, X ) ) ),
% 100.44/100.85 inverse( multiply( Y, identity ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.85 :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , clause( 40168, [ =( multiply( X, inverse( multiply( Y, X ) ) ), inverse(
% 100.44/100.85 Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40170, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40175, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.44/100.85 inverse( inverse( Y ) ) ) ) ] )
% 100.44/100.85 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, clause( 40170, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.44/100.85 ) ) ) ) ] )
% 100.44/100.85 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, inverse( multiply( Y, X ) ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40176, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 100.44/100.85 Y, X ) ) ) ) ] )
% 100.44/100.85 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.85 multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40175, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 100.44/100.85 ), inverse( inverse( Y ) ) ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 100.44/100.85 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40177, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.44/100.85 inverse( Y ), X ) ) ] )
% 100.44/100.85 , 0, clause( 40176, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 100.44/100.85 multiply( Y, X ) ) ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40178, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40177, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 100.44/100.85 Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , clause( 40178, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 100.44/100.85 X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40180, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 100.44/100.85 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40182, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.44/100.85 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.44/100.85 Z ) ) ) ] )
% 100.44/100.85 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, clause( 40180, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 100.44/100.85 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse( multiply(
% 100.44/100.85 Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse( Y ) ) )
% 100.44/100.85 ] )
% 100.44/100.85 , clause( 40182, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse(
% 100.44/100.85 multiply( Z, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Y ), inverse(
% 100.44/100.85 Z ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40185, [ ~( =( identity, 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 100.44/100.85 identity ) ) ) ) ) ] )
% 100.44/100.85 , clause( 18, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( a,
% 100.44/100.85 identity ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40186, [ ~( =( identity, 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( identity, a ), inverse( 'greatest_lower_bound'( a,
% 100.44/100.85 identity ) ) ) ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 40185, [ ~( =( identity, 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 100.44/100.85 identity ) ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 100.44/100.85 1, [] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40189, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.44/100.85 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , clause( 40186, [ ~( =( identity, 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( identity, a ), inverse( 'greatest_lower_bound'( a,
% 100.44/100.85 identity ) ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.44/100.85 , a ), inverse( 'greatest_lower_bound'( a, identity ) ) ), identity ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , clause( 40189, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.44/100.85 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40192, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 100.44/100.85 Y, identity ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.44/100.85 :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.44/100.85 , clause( 40192, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40194, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40197, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 100.44/100.85 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 100.44/100.85 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40194, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 100.44/100.85 ) ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40200, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 182, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, clause( 40197, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.85 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 100.44/100.85 ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 100.44/100.85 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 40200, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40201, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40203, [ =( identity, multiply( 'greatest_lower_bound'( Y, X ),
% 100.44/100.85 inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ] )
% 100.44/100.85 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40201, [ =( identity, multiply( X, inverse( multiply( X,
% 100.44/100.85 identity ) ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.44/100.85 'greatest_lower_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40205, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40203, [ =( identity, multiply( 'greatest_lower_bound'( Y, X )
% 100.44/100.85 , inverse( multiply( 'greatest_lower_bound'( X, Y ), identity ) ) ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40206, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40205, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40206, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 100.44/100.85 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40207, [ =( identity, multiply( X, inverse( multiply( X, identity )
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40209, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.44/100.85 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.44/100.85 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40207, [ =( identity, multiply( X, inverse( multiply( X,
% 100.44/100.85 identity ) ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), identity ) ) ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, 'least_upper_bound'( X, Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40211, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.44/100.85 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40209, [ =( identity, multiply( 'least_upper_bound'( Y, X ),
% 100.44/100.85 inverse( multiply( 'least_upper_bound'( X, Y ), identity ) ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40212, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.44/100.85 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40211, [ =( identity, multiply( 'least_upper_bound'( X, Y ),
% 100.44/100.85 inverse( 'least_upper_bound'( Y, X ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40212, [ =( multiply( 'least_upper_bound'( X, Y ), inverse(
% 100.44/100.85 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40213, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40214, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , clause( 40213, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X )
% 100.44/100.85 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, identity ), :=( Y, Y ), :=( Z, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , clause( 40214, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40217, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40251, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.44/100.85 multiply( X, identity ) ), identity ) ) ] )
% 100.44/100.85 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , 0, clause( 40217, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.44/100.85 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40253, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40251, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.44/100.85 multiply( X, identity ) ), identity ) ) ] )
% 100.44/100.85 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40254, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40253, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 100.44/100.85 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 40254, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40259, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , clause( 31, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40260, [ =( X, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.44/100.85 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 , 0, clause( 40259, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.44/100.85 , Y ), X ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40261, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ), X ), X ), X ) ] )
% 100.44/100.85 , clause( 40260, [ =( X, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ), X ), X ), X ) ] )
% 100.44/100.85 , clause( 40261, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ), X ), X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40263, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 168, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40265, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y,
% 100.44/100.85 multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, clause( 40263, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 100.44/100.85 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.44/100.85 1, [ :=( X, Y ), :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40266, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.85 , 0, clause( 40265, [ =( multiply( identity, Y ), 'greatest_lower_bound'( Y
% 100.44/100.85 , multiply( 'least_upper_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.44/100.85 :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40267, [ =( 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.44/100.85 , clause( 40266, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 474, [ =( 'greatest_lower_bound'( Y, multiply( 'least_upper_bound'(
% 100.44/100.85 X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 , clause( 40267, [ =( 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40268, [ =( Y, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.44/100.85 , clause( 471, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ), X ), X ), X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40269, [ =( X, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.44/100.85 , clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40268, [ =( Y, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( identity, X ), Y ), Y ) ) ] )
% 100.44/100.85 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40272, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 Y, identity ), X ), X ), X ) ] )
% 100.44/100.85 , clause( 40269, [ =( X, 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 100.44/100.85 , identity ), Y ), Y ), Y ) ] )
% 100.44/100.85 , clause( 40272, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 Y, identity ), X ), X ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40274, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40276, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 X, identity ), Y ), Y ), 'least_upper_bound'( Y, multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 X, identity ), Y ), Y ), Y ) ] )
% 100.44/100.85 , 0, clause( 40274, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, multiply( 'greatest_lower_bound'( X, identity ), Y ) ), :=( Y, Y )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40277, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , clause( 485, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 100.44/100.85 X, identity ), Y ), Y ), Y ) ] )
% 100.44/100.85 , 0, clause( 40276, [ =( 'least_upper_bound'( multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ), Y ), 'least_upper_bound'( Y,
% 100.44/100.85 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40279, [ =( 'least_upper_bound'( X, multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.44/100.85 , clause( 40277, [ =( Y, 'least_upper_bound'( Y, multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 509, [ =( 'least_upper_bound'( Y, multiply( 'greatest_lower_bound'(
% 100.44/100.85 X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 , clause( 40279, [ =( 'least_upper_bound'( X, multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40282, [ =( X, 'least_upper_bound'( X, multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , clause( 509, [ =( 'least_upper_bound'( Y, multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40283, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , clause( 226, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 40282, [ =( X, 'least_upper_bound'( X, multiply(
% 100.44/100.85 'greatest_lower_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.44/100.85 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 100.44/100.85 ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40284, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 40283, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 40284, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40286, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , clause( 474, [ =( 'greatest_lower_bound'( Y, multiply(
% 100.44/100.85 'least_upper_bound'( X, identity ), Y ) ), Y ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40287, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.85 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , clause( 251, [ =( multiply( 'least_upper_bound'( Y, X ), inverse(
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , 0, clause( 40286, [ =( X, 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 100.44/100.85 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 100.44/100.85 , :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40288, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40287, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.85 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.85 identity ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40288, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40289, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40290, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40291, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.44/100.85 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , clause( 40289, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X )
% 100.44/100.85 , 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , 0, clause( 40290, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, 'greatest_lower_bound'( Y, identity ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40292, [ =( multiply( inverse( 'greatest_lower_bound'( X, multiply(
% 100.44/100.85 Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.44/100.85 , clause( 40291, [ =( inverse( X ), multiply( inverse(
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.44/100.85 Y, identity ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply( X
% 100.44/100.85 , Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.85 , clause( 40292, [ =( multiply( inverse( 'greatest_lower_bound'( X,
% 100.44/100.85 multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40294, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 450, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 100.44/100.85 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40328, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.44/100.85 multiply( X, identity ) ), identity ) ) ] )
% 100.44/100.85 , clause( 66, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 100.44/100.85 identity ) ] )
% 100.44/100.85 , 0, clause( 40294, [ =( multiply( 'greatest_lower_bound'( Y, identity ), X
% 100.44/100.85 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 100.44/100.85 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40330, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40328, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 100.44/100.85 multiply( X, identity ) ), identity ) ) ] )
% 100.44/100.85 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40331, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40330, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ), inverse(
% 100.44/100.85 X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 40331, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40335, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40337, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 100.44/100.85 , X ) ) ] )
% 100.44/100.85 , 0, clause( 40335, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 100.44/100.85 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 40337, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 100.44/100.85 , 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40345, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 152, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40349, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.85 , 0, clause( 40345, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 100.44/100.85 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 inverse( X ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'( identity
% 100.44/100.85 , X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , clause( 40349, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40364, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.44/100.85 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , 0, clause( 165, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 100.44/100.85 multiply( 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.44/100.85 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , clause( 40364, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.44/100.85 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40366, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , clause( 154, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 100.44/100.85 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40368, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, clause( 40366, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 100.44/100.85 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 40368, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40377, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 22, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 100.44/100.85 Y, identity ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.44/100.85 :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.85 , clause( 40377, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40380, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 100.44/100.85 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40382, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 100.44/100.85 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.85 , 0, clause( 40380, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 100.44/100.85 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.44/100.85 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , clause( 40382, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 100.44/100.85 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 100.44/100.85 ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40386, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), 'least_upper_bound'( 'least_upper_bound'( Z
% 100.44/100.85 , X ), Y ) ) ) ] )
% 100.44/100.85 , clause( 53, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 100.44/100.85 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ),
% 100.44/100.85 'least_upper_bound'( Y, Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40389, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.44/100.85 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , 0, clause( 40386, [ =( 'least_upper_bound'( X, Y ),
% 100.44/100.85 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.85 'least_upper_bound'( Z, X ), Y ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40395, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.44/100.85 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , clause( 40389, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.85 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.44/100.85 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.44/100.85 , clause( 40395, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 100.44/100.85 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40397, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , clause( 145, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.85 'least_upper_bound'( Y, identity ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40398, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40399, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 100.44/100.85 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , clause( 40397, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 100.44/100.85 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40398, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, 'least_upper_bound'( Y, identity ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40400, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y, X
% 100.44/100.85 ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.44/100.85 , clause( 40399, [ =( inverse( X ), multiply( inverse( 'least_upper_bound'(
% 100.44/100.85 multiply( Y, X ), X ) ), 'least_upper_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y )
% 100.44/100.85 , Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.85 , clause( 40400, [ =( multiply( inverse( 'least_upper_bound'( multiply( Y,
% 100.44/100.85 X ), X ) ), 'least_upper_bound'( Y, identity ) ), inverse( X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40401, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 100.44/100.85 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.44/100.85 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.44/100.85 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40402, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.44/100.85 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40403, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.44/100.85 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.44/100.85 ] )
% 100.44/100.85 , clause( 40401, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40402, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 100.44/100.85 )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40404, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40403, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 100.44/100.85 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 100.44/100.85 ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40404, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40406, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.85 ) ) ) ] )
% 100.44/100.85 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40407, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.44/100.85 , clause( 73, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 100.44/100.85 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40406, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.85 X, Y ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.85 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40408, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.44/100.85 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40407, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 100.44/100.85 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40408, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 100.44/100.85 X ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40410, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ) ] )
% 100.44/100.85 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40418, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 100.44/100.85 identity ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), identity )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 675, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , 0, clause( 40410, [ =( multiply( Y, inverse( X ) ), inverse( multiply( X
% 100.44/100.85 , inverse( Y ) ) ) ) ] )
% 100.44/100.85 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 'greatest_lower_bound'( X, identity ) ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 2155, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 100.44/100.85 identity ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), identity )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 40418, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 100.44/100.85 identity ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), identity )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40422, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 183, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40424, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.44/100.85 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , clause( 469, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 inverse( X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.85 , 0, clause( 40422, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 100.44/100.85 ), X ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40425, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.44/100.85 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40424, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ),
% 100.44/100.85 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40426, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 , clause( 40425, [ =( X, multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.44/100.85 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 , clause( 40426, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40428, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 100.44/100.85 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 100.44/100.85 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , clause( 44, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 100.44/100.85 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 100.44/100.85 'greatest_lower_bound'( Y, Z ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40431, [ =( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , clause( 545, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , 0, clause( 40428, [ =( 'greatest_lower_bound'( Y, Z ),
% 100.44/100.85 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 100.44/100.85 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 100.44/100.85 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 100.44/100.85 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40436, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.44/100.85 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.85 , clause( 40431, [ =( 'greatest_lower_bound'( identity, X ),
% 100.44/100.85 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.85 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.44/100.85 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.44/100.85 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.44/100.85 , clause( 40436, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.44/100.85 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 100.44/100.85 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40438, [ =( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , clause( 153, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40443, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity
% 100.44/100.85 , X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40438, [ =( multiply( X, 'greatest_lower_bound'( Y, identity )
% 100.44/100.85 ), 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.85 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), :=( Y,
% 100.44/100.85 'greatest_lower_bound'( identity, X ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40444, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ) ) ) ] )
% 100.44/100.85 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.44/100.85 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.85 , 0, clause( 40443, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.44/100.85 X ), identity ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.44/100.85 identity, X ), identity ) ), 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.44/100.85 1, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40445, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , clause( 2160, [ =( multiply( inverse( 'greatest_lower_bound'( inverse( X
% 100.44/100.85 ), identity ) ), 'greatest_lower_bound'( identity, X ) ), X ) ] )
% 100.44/100.85 , 0, clause( 40444, [ =( multiply( inverse( 'greatest_lower_bound'( inverse(
% 100.44/100.85 X ), identity ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.85 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 100.44/100.85 , identity ) ) ) ) ] )
% 100.44/100.85 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.85 ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40446, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.44/100.85 , clause( 40445, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.44/100.85 , clause( 40446, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40447, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , clause( 3214, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40448, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.44/100.85 , clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.44/100.85 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40447, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.44/100.85 substitution( 1, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40454, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.44/100.85 , clause( 40448, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.44/100.85 , clause( 40454, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.85 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40458, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.44/100.85 , clause( 1772, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 100.44/100.85 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40463, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 inverse( identity ), multiply( 'least_upper_bound'( Y, X ), inverse( Y )
% 100.44/100.85 ) ) ) ) ] )
% 100.44/100.85 , clause( 140, [ =( 'least_upper_bound'( identity, multiply( Y, inverse( X
% 100.44/100.85 ) ) ), multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ] )
% 100.44/100.85 , 0, clause( 40458, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 100.44/100.85 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.85 :=( X, identity ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40464, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ), inverse( X
% 100.44/100.85 ) ) ) ) ] )
% 100.44/100.85 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.85 ), Z ) ) ] )
% 100.44/100.85 , 0, clause( 40463, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 multiply( inverse( identity ), multiply( 'least_upper_bound'( Y, X ),
% 100.44/100.85 inverse( Y ) ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y,
% 100.44/100.85 'least_upper_bound'( X, Y ) ), :=( Z, inverse( X ) )] ), substitution( 1
% 100.44/100.85 , [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40465, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 100.44/100.85 multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ), identity
% 100.44/100.85 ) ) ) ) ] )
% 100.44/100.85 , clause( 181, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 100.44/100.85 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 100.44/100.85 , 0, clause( 40464, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 multiply( multiply( inverse( identity ), 'least_upper_bound'( X, Y ) ),
% 100.44/100.85 inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )
% 100.44/100.85 , :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40466, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 100.44/100.85 multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 100.44/100.85 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.85 , 0, clause( 40465, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 inverse( multiply( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) )
% 100.44/100.85 , identity ) ) ) ) ] )
% 100.44/100.85 , 0, 5, substitution( 0, [ :=( X, multiply( X, inverse( 'least_upper_bound'(
% 100.44/100.85 X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40467, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 179, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 100.44/100.85 inverse( Y ) ) ) ] )
% 100.44/100.85 , 0, clause( 40466, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 inverse( multiply( X, inverse( 'least_upper_bound'( X, Y ) ) ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )
% 100.44/100.85 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40468, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40467, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40468, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( X ) ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40469, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 4028, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( Y ) ) ), identity ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40470, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , clause( 139, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 100.44/100.85 'least_upper_bound'( Z, X ), Y ) ) ] )
% 100.44/100.85 , 0, clause( 40469, [ =( identity, 'greatest_lower_bound'( identity,
% 100.44/100.85 multiply( 'least_upper_bound'( X, Y ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )
% 100.44/100.85 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40473, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40470, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( X ) ) ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 subsumption(
% 100.44/100.85 clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.44/100.85 , clause( 40473, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 100.44/100.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.85 )] ) ).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 eqswap(
% 100.44/100.85 clause( 40475, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 100.44/100.85 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.85 , clause( 774, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 100.44/100.85 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.85
% 100.44/100.85
% 100.44/100.85 paramod(
% 100.44/100.85 clause( 40478, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.44/100.85 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 100.44/100.85 ) ) ] )
% 100.44/100.85 , clause( 4115, [ =( 'greatest_lower_bound'( identity, multiply(
% 100.44/100.85 'least_upper_bound'( Y, X ), inverse( X ) ) ), identity ) ] )
% 100.44/100.86 , 0, clause( 40475, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 100.44/100.86 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.86 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, X ), :=( Y, multiply( 'least_upper_bound'( Y, Z ), inverse( Z ) )
% 100.44/100.86 )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40479, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.44/100.86 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 100.44/100.86 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.86 , 0, clause( 40478, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.44/100.86 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), multiply( X, identity
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.86 :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40480, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 100.44/100.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40479, [ =( 'greatest_lower_bound'( multiply( X, multiply(
% 100.44/100.86 'least_upper_bound'( Y, Z ), inverse( Z ) ) ), X ), X ) ] )
% 100.44/100.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )
% 100.44/100.86 , :=( Z, inverse( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 100.44/100.86 :=( Z, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.44/100.86 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.44/100.86 , clause( 40480, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 100.44/100.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40483, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.44/100.86 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , clause( 156, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 100.44/100.86 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40488, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.44/100.86 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.44/100.86 , clause( 3238, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40483, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 100.44/100.86 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 100.44/100.86 Y ) ) ) ] )
% 100.44/100.86 , 0, 14, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 100.44/100.86 , [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, inverse( multiply( X, Y ) ) ) ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40489, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.44/100.86 inverse( Y ) ) ), X ) ] )
% 100.44/100.86 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.86 , 0, clause( 40488, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.44/100.86 inverse( Y ) ) ), multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 100.44/100.86 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.86 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40490, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.44/100.86 ) ] )
% 100.44/100.86 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 100.44/100.86 multiply( X, Y ) ) ) ] )
% 100.44/100.86 , 0, clause( 40489, [ =( 'greatest_lower_bound'( X, multiply( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ),
% 100.44/100.86 inverse( Y ) ) ), X ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'greatest_lower_bound'(
% 100.44/100.86 identity, inverse( multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X
% 100.44/100.86 ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40491, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.44/100.86 ] )
% 100.44/100.86 , clause( 185, [ =( multiply( X, 'greatest_lower_bound'( Z, inverse(
% 100.44/100.86 multiply( Y, X ) ) ) ), 'greatest_lower_bound'( multiply( X, Z ), inverse(
% 100.44/100.86 Y ) ) ) ] )
% 100.44/100.86 , 0, clause( 40490, [ =( 'greatest_lower_bound'( X, inverse( multiply( Y,
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( multiply( X, Y ) ) ) ) ) ), X
% 100.44/100.86 ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40492, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , clause( 151, [ =( multiply( X, identity ), X ) ] )
% 100.44/100.86 , 0, clause( 40491, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( multiply( Y, identity ), inverse( X ) ) ) ), X )
% 100.44/100.86 ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.86 :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , clause( 40492, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40495, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.44/100.86 , clause( 4751, [ =( 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40496, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40495, [ =( X, 'greatest_lower_bound'( X, inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 100.44/100.86 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 100.44/100.86 X ) ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40497, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.86 , clause( 40496, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.86 , clause( 40497, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40499, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 100.44/100.86 , Y ) ) ] )
% 100.44/100.86 , clause( 43, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40500, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.86 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.44/100.86 ) ) ) ) ] )
% 100.44/100.86 , clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.86 , 0, clause( 40499, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 100.44/100.86 , Y ), Y ) ) ] )
% 100.44/100.86 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.86 :=( X, inverse( Y ) ), :=( Y, inverse( 'greatest_lower_bound'( X, Y ) ) )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40501, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , clause( 40500, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.86 'least_upper_bound'( inverse( Y ), inverse( 'greatest_lower_bound'( X, Y
% 100.44/100.86 ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , clause( 40501, [ =( 'least_upper_bound'( inverse( Y ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40503, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , clause( 30, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40504, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.44/100.86 Y ) ) ) ] )
% 100.44/100.86 , clause( 4796, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 100.44/100.86 , 0, clause( 40503, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 100.44/100.86 Y, X ) ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.86 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40505, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 100.44/100.86 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.86 , clause( 40504, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 100.44/100.86 Y ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 100.44/100.86 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 100.44/100.86 , clause( 40505, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 100.44/100.86 )
% 100.44/100.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40507, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.44/100.86 ) ) ) ) ] )
% 100.44/100.86 , clause( 4882, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 100.44/100.86 'greatest_lower_bound'( Y, X ) ) ), inverse( 'greatest_lower_bound'( Y, X
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40511, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.86 Y, X ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X ) ),
% 100.44/100.86 inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, clause( 40507, [ =( inverse( 'greatest_lower_bound'( Y, X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( Y, X
% 100.44/100.86 ) ) ) ) ] )
% 100.44/100.86 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40512, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 21, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, clause( 40511, [ =( inverse( 'greatest_lower_bound'( X,
% 100.44/100.86 'least_upper_bound'( Y, X ) ) ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.44/100.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40514, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.44/100.86 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.44/100.86 , clause( 40512, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( Y, X ) ), inverse( X ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 100.44/100.86 ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.44/100.86 , clause( 40514, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.44/100.86 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40517, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.44/100.86 , clause( 5309, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.86 X ) ), inverse( X ) ), inverse( X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40519, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40517, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 100.44/100.86 :=( Y, inverse( X ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40520, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40519, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 100.44/100.86 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.86 :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40522, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.86 inverse( X ) ) ), X ), X ) ] )
% 100.44/100.86 , clause( 40520, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 Y, inverse( X ) ) ), X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.86 inverse( X ) ) ), X ), X ) ] )
% 100.44/100.86 , clause( 40522, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ), X ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40525, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 100.44/100.86 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 100.44/100.86 , clause( 1053, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 100.44/100.86 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( Y, X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40529, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ) ), 'greatest_lower_bound'( 'least_upper_bound'( X,
% 100.44/100.86 inverse( 'least_upper_bound'( Y, inverse( X ) ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.86 inverse( X ) ) ), X ), X ) ] )
% 100.44/100.86 , 0, clause( 40525, [ =( 'least_upper_bound'( X, Y ),
% 100.44/100.86 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 100.44/100.86 Y, X ) ) ) ] )
% 100.44/100.86 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, X ), :=( Y, inverse( 'least_upper_bound'( Y, inverse( X ) ) ) )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40531, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, clause( 40529, [ =( 'least_upper_bound'( X, inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ) ), 'greatest_lower_bound'(
% 100.44/100.86 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y, inverse( X ) ) )
% 100.44/100.86 ), X ) ) ] )
% 100.44/100.86 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse( 'least_upper_bound'(
% 100.44/100.86 Y, inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.44/100.86 , inverse( Y ) ) ) ), Y ) ] )
% 100.44/100.86 , clause( 40531, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 100.44/100.86 Y, inverse( X ) ) ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40534, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40535, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.44/100.86 , Y ) ) ] )
% 100.44/100.86 , clause( 5324, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 100.44/100.86 inverse( X ) ) ), X ), X ) ] )
% 100.44/100.86 , 0, clause( 40534, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 100.44/100.86 X, Y ) ) ) ] )
% 100.44/100.86 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.86 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40536, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.44/100.86 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , clause( 40535, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 100.44/100.86 , Y ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 100.44/100.86 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , clause( 40536, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40538, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 100.44/100.86 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.86 , clause( 169, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 100.44/100.86 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40543, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( X, identity ) ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 100.44/100.86 identity ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 2155, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 100.44/100.86 identity ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), identity )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, clause( 40538, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 100.44/100.86 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.86 :=( Y, inverse( 'greatest_lower_bound'( X, identity ) ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40544, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 100.44/100.86 , 0, clause( 40543, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( X, identity ) ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 100.44/100.86 identity ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 100.44/100.86 , substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40545, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.86 ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40544, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 5846, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 inverse( X ), identity ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.86 ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40545, [ =( 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40547, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 100.44/100.86 , clause( 4137, [ =( 'greatest_lower_bound'( multiply( multiply( Z,
% 100.44/100.86 'least_upper_bound'( X, Y ) ), inverse( Y ) ), Z ), Z ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40554, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 100.44/100.86 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 173, [ =( 'least_upper_bound'( multiply( Z, inverse( Y ) ),
% 100.44/100.86 inverse( multiply( Y, X ) ) ), multiply( 'least_upper_bound'( Z, inverse(
% 100.44/100.86 X ) ), inverse( Y ) ) ) ] )
% 100.44/100.86 , 0, clause( 40547, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, Z ) ), inverse( Z ) ), X ) ) ] )
% 100.44/100.86 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, inverse( Z ) ) ), :=(
% 100.44/100.86 Z, inverse( multiply( Z, T ) ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40555, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.44/100.86 X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), inverse(
% 100.44/100.86 inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40554, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 multiply( 'least_upper_bound'( Y, inverse( T ) ), inverse( Z ) ) ),
% 100.44/100.86 inverse( inverse( multiply( Z, T ) ) ) ), X ) ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 100.44/100.86 inverse( Z ) ) ), :=( Z, inverse( T ) )] ), substitution( 1, [ :=( X, X )
% 100.44/100.86 , :=( Y, Y ), :=( Z, T ), :=( T, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40556, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 100.44/100.86 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 178, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 100.44/100.86 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 100.44/100.86 , 0, clause( 40555, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.44/100.86 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ),
% 100.44/100.86 inverse( inverse( multiply( T, Z ) ) ) ), X ) ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, inverse( multiply( T, Z ) ) )
% 100.44/100.86 , :=( Z, multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ) )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40557, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 100.44/100.86 multiply( T, Z ) ) ), X ) ) ] )
% 100.44/100.86 , clause( 180, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 100.44/100.86 inverse( Y ), X ) ) ] )
% 100.44/100.86 , 0, clause( 40556, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( multiply( inverse(
% 100.44/100.86 multiply( T, Z ) ), T ) ) ), X ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, multiply( T, Z ) ), :=( Y, T )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40559, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 100.44/100.86 ), T ), Z ) ), X ) ) ] )
% 100.44/100.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40557, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ),
% 100.44/100.86 multiply( T, Z ) ) ), X ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, inverse( T ) ), :=( Y, T ), :=( Z, Z )] )
% 100.44/100.86 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40562, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.44/100.86 X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse( T ), T )
% 100.44/100.86 ), Z ), X ) ) ] )
% 100.44/100.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40559, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( multiply( inverse( T
% 100.44/100.86 ), T ), Z ) ), X ) ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 100.44/100.86 inverse( Z ) ) ) ), :=( Y, multiply( inverse( T ), T ) ), :=( Z, Z )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40563, [ =( X, 'greatest_lower_bound'( multiply( multiply( multiply(
% 100.44/100.86 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse( T ) ), T
% 100.44/100.86 ), Z ), X ) ) ] )
% 100.44/100.86 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40562, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.44/100.86 multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), multiply( inverse(
% 100.44/100.86 T ), T ) ), Z ), X ) ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 100.44/100.86 inverse( Z ) ) ) ), :=( Y, inverse( T ) ), :=( Z, T )] ), substitution( 1
% 100.44/100.86 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40564, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.44/100.86 , clause( 200, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 100.44/100.86 , 0, clause( 40563, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 100.44/100.86 multiply( multiply( X, 'least_upper_bound'( Y, inverse( Z ) ) ), inverse(
% 100.44/100.86 T ) ), T ), Z ), X ) ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ) )] ), substitution( 1, [ :=( X,
% 100.44/100.86 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40565, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 100.44/100.86 , clause( 40564, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.44/100.86 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.44/100.86 , clause( 40565, [ =( 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 100.44/100.86 permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40566, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 5846, [ =( 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40567, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 218, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, Y ) ) ) ] )
% 100.44/100.86 , 0, clause( 40566, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40575, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.86 ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40567, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 9298, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), inverse( 'greatest_lower_bound'( X, identity
% 100.44/100.86 ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40575, [ =( 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40584, [ =( inverse( Y ), multiply( inverse( 'least_upper_bound'(
% 100.44/100.86 multiply( X, Y ), Y ) ), 'least_upper_bound'( X, identity ) ) ) ] )
% 100.44/100.86 , clause( 1303, [ =( multiply( inverse( 'least_upper_bound'( multiply( X, Y
% 100.44/100.86 ), Y ) ), 'least_upper_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40587, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 100.44/100.86 Y, X ), identity ) ) ) ] )
% 100.44/100.86 , clause( 1015, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 100.44/100.86 , 0, clause( 40584, [ =( inverse( Y ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( multiply( X, Y ), Y ) ), 'least_upper_bound'( X,
% 100.44/100.86 identity ) ) ) ] )
% 100.44/100.86 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40588, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40587, [ =( inverse( inverse( X ) ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( multiply(
% 100.44/100.86 Y, X ), identity ) ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 100.44/100.86 :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40589, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 100.44/100.86 ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.44/100.86 , clause( 40588, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.44/100.86 ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.44/100.86 , clause( 40589, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 100.44/100.86 ) ) ), 'least_upper_bound'( multiply( Y, X ), identity ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40591, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 100.44/100.86 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.86 , clause( 1012, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 100.44/100.86 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40598, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'( X
% 100.44/100.86 , inverse( Y ) ) ) ), multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.44/100.86 Y ) ) ), 'least_upper_bound'( identity, 'least_upper_bound'( multiply( X
% 100.44/100.86 , Y ), identity ) ) ) ) ] )
% 100.44/100.86 , clause( 12343, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.44/100.86 ) ) ), 'least_upper_bound'( multiply( X, Y ), identity ) ), Y ) ] )
% 100.44/100.86 , 0, clause( 40591, [ =( 'least_upper_bound'( multiply( X, Y ), X ),
% 100.44/100.86 multiply( X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 100.44/100.86 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 100.44/100.86 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y,
% 100.44/100.86 'least_upper_bound'( multiply( X, Y ), identity ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40599, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( 'least_upper_bound'( identity, multiply( Y
% 100.44/100.86 , X ) ), identity ) ) ) ] )
% 100.44/100.86 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40598, [ =( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 'least_upper_bound'( X, inverse( Y ) ) ) ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( X, inverse( Y ) ) ), 'least_upper_bound'( identity,
% 100.44/100.86 'least_upper_bound'( multiply( X, Y ), identity ) ) ) ) ] )
% 100.44/100.86 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) ),
% 100.44/100.86 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40600, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( Y
% 100.44/100.86 , inverse( X ) ) ) ), multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.44/100.86 , clause( 29, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 100.44/100.86 'least_upper_bound'( X, Y ) ) ] )
% 100.44/100.86 , 0, clause( 40599, [ =( 'least_upper_bound'( X, inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'(
% 100.44/100.86 'least_upper_bound'( identity, multiply( Y, X ) ), identity ) ) ) ] )
% 100.44/100.86 , 0, 14, substitution( 0, [ :=( X, identity ), :=( Y, multiply( Y, X ) )] )
% 100.44/100.86 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40601, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.44/100.86 , clause( 5335, [ =( 'least_upper_bound'( Y, inverse( 'least_upper_bound'(
% 100.44/100.86 X, inverse( Y ) ) ) ), Y ) ] )
% 100.44/100.86 , 0, clause( 40600, [ =( 'least_upper_bound'( X, inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ) ), multiply( inverse(
% 100.44/100.86 'least_upper_bound'( Y, inverse( X ) ) ), 'least_upper_bound'( identity,
% 100.44/100.86 multiply( Y, X ) ) ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 100.44/100.86 :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40602, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X )
% 100.44/100.86 ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.44/100.86 , clause( 40601, [ =( X, multiply( inverse( 'least_upper_bound'( Y, inverse(
% 100.44/100.86 X ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y )
% 100.44/100.86 ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.44/100.86 , clause( 40602, [ =( multiply( inverse( 'least_upper_bound'( Y, inverse( X
% 100.44/100.86 ) ) ), 'least_upper_bound'( identity, multiply( Y, X ) ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 100.44/100.86 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40604, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.44/100.86 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.86 , clause( 2577, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 100.44/100.86 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 100.44/100.86 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40605, [ =( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.44/100.86 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 5352, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, clause( 40604, [ =( 'greatest_lower_bound'( identity, Y ),
% 100.44/100.86 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.44/100.86 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40606, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.86 , clause( 40605, [ =( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 100.44/100.86 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.86 , clause( 40606, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40608, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 100.44/100.86 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 100.44/100.86 ] )
% 100.44/100.86 , clause( 1740, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.86 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40615, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.86 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.44/100.86 , clause( 38772, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ] )
% 100.44/100.86 , 0, clause( 40608, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 100.44/100.86 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 100.44/100.86 , Y ) ) ) ) ] )
% 100.44/100.86 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.86 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 100.44/100.86 'greatest_lower_bound'( identity, X ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40616, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.44/100.86 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.44/100.86 , clause( 1017, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 100.44/100.86 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 100.44/100.86 )
% 100.44/100.86 , 0, clause( 40615, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 100.44/100.86 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 100.44/100.86 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 100.44/100.86 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 100.44/100.86 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40617, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.44/100.86 X ) ) ) ) ) ) ] )
% 100.44/100.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.86 , 0, clause( 40616, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 100.44/100.86 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 100.44/100.86 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.44/100.86 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40619, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40617, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 100.44/100.86 X ) ) ) ) ) ) ] )
% 100.44/100.86 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 100.44/100.86 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40620, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40619, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 100.44/100.86 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 100.44/100.86 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40625, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 100.44/100.86 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40620, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 100.44/100.86 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 100.44/100.86 , [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40626, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 526, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , 0, clause( 40625, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 100.44/100.86 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40627, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 4883, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 100.44/100.86 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 100.44/100.86 )
% 100.44/100.86 , 0, clause( 40626, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 100.44/100.86 inverse( X ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.44/100.86 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 40627, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40630, [ =( Y, multiply( inverse( 'least_upper_bound'( X, inverse(
% 100.44/100.86 Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ] )
% 100.44/100.86 , clause( 12360, [ =( multiply( inverse( 'least_upper_bound'( X, inverse( Y
% 100.44/100.86 ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ), Y ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40633, [ =( X, multiply( inverse( inverse( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ) ), 'least_upper_bound'( identity, multiply( identity, X )
% 100.44/100.86 ) ) ) ] )
% 100.44/100.86 , clause( 38791, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, clause( 40630, [ =( Y, multiply( inverse( 'least_upper_bound'( X,
% 100.44/100.86 inverse( Y ) ) ), 'least_upper_bound'( identity, multiply( X, Y ) ) ) ) ]
% 100.44/100.86 )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.86 identity ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40634, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40633, [ =( X, multiply( inverse( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( identity
% 100.44/100.86 , multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 100.44/100.86 , substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40635, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.86 , 0, clause( 40634, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 100.44/100.86 , 'least_upper_bound'( identity, multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40636, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , clause( 40635, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , clause( 40636, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40637, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40638, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 100.44/100.86 , Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ), Z
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , clause( 970, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y,
% 100.44/100.86 identity ) ), Z ), multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.86 ), Z ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40641, [ =( multiply( identity, X ), multiply( multiply( identity,
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'( identity,
% 100.44/100.86 multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , clause( 40638, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 100.44/100.86 ), Z ), multiply( multiply( X, 'greatest_lower_bound'( Y, identity ) ),
% 100.44/100.86 Z ) ) ] )
% 100.44/100.86 , 0, clause( 40637, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 100.44/100.86 , 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z,
% 100.44/100.86 'least_upper_bound'( identity, multiply( identity, X ) ) )] ),
% 100.44/100.86 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40644, [ =( multiply( identity, X ), multiply(
% 100.44/100.86 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 100.44/100.86 multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.86 , 0, clause( 40641, [ =( multiply( identity, X ), multiply( multiply(
% 100.44/100.86 identity, 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'(
% 100.44/100.86 identity, multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 100.44/100.86 , substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40650, [ =( multiply( identity, X ), multiply(
% 100.44/100.86 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.86 , 0, clause( 40644, [ =( multiply( identity, X ), multiply(
% 100.44/100.86 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity,
% 100.44/100.86 multiply( identity, X ) ) ) ) ] )
% 100.44/100.86 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40651, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 100.44/100.86 , 0, clause( 40650, [ =( multiply( identity, X ), multiply(
% 100.44/100.86 'greatest_lower_bound'( X, identity ), 'least_upper_bound'( identity, X )
% 100.44/100.86 ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40653, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , clause( 40651, [ =( X, multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 38994, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , clause( 40653, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40656, [ =( inverse( X ), multiply( inverse( 'greatest_lower_bound'(
% 100.44/100.86 X, multiply( Y, X ) ) ), 'greatest_lower_bound'( Y, identity ) ) ) ] )
% 100.44/100.86 , clause( 667, [ =( multiply( inverse( 'greatest_lower_bound'( Y, multiply(
% 100.44/100.86 X, Y ) ) ), 'greatest_lower_bound'( X, identity ) ), inverse( Y ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40660, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.44/100.86 inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity, X ), X )
% 100.44/100.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 identity ) ) ) ] )
% 100.44/100.86 , clause( 38892, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40656, [ =( inverse( X ), multiply( inverse(
% 100.44/100.86 'greatest_lower_bound'( X, multiply( Y, X ) ) ), 'greatest_lower_bound'(
% 100.44/100.86 Y, identity ) ) ) ] )
% 100.44/100.86 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 100.44/100.86 'least_upper_bound'( identity, X ) ), :=( Y, 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40661, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.44/100.86 inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X
% 100.44/100.86 ), identity ) ) ) ] )
% 100.44/100.86 , clause( 26, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 100.44/100.86 , X ) ] )
% 100.44/100.86 , 0, clause( 40660, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 multiply( inverse( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.44/100.86 , X ), X ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X
% 100.44/100.86 ), identity ) ) ) ] )
% 100.44/100.86 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 100.44/100.86 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40662, [ =( inverse( 'least_upper_bound'( identity, X ) ), multiply(
% 100.44/100.86 inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.44/100.86 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.86 , 0, clause( 40661, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 multiply( inverse( X ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 100.44/100.86 identity, X ), identity ) ) ) ] )
% 100.44/100.86 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 100.44/100.86 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40663, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.86 , clause( 776, [ =( multiply( inverse( X ), 'greatest_lower_bound'(
% 100.44/100.86 identity, X ) ), 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.86 , 0, clause( 40662, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 multiply( inverse( X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40664, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 40663, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 39008, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 40664, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40666, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.44/100.86 , clause( 7443, [ =( 'greatest_lower_bound'( multiply( multiply( T,
% 100.44/100.86 'least_upper_bound'( X, inverse( Z ) ) ), Z ), T ), T ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40672, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 100.44/100.86 , clause( 38994, [ =( multiply( 'greatest_lower_bound'( X, identity ),
% 100.44/100.86 'least_upper_bound'( identity, X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40666, [ =( X, 'greatest_lower_bound'( multiply( multiply( X,
% 100.44/100.86 'least_upper_bound'( Y, inverse( Z ) ) ), Z ), X ) ) ] )
% 100.44/100.86 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 100.44/100.86 :=( X, 'greatest_lower_bound'( inverse( X ), identity ) ), :=( Y,
% 100.44/100.86 identity ), :=( Z, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40673, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 100.44/100.86 ), inverse( X ) ), identity ) ) ] )
% 100.44/100.86 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 100.44/100.86 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 100.44/100.86 , 0, clause( 40672, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( multiply( inverse( X ), X ),
% 100.44/100.86 'greatest_lower_bound'( inverse( X ), identity ) ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, multiply( inverse( X ), X ) ), :=( Y,
% 100.44/100.86 inverse( X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40674, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 100.44/100.86 , identity ) ) ] )
% 100.44/100.86 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 100.44/100.86 , 0, clause( 40673, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( 'greatest_lower_bound'( multiply( inverse( X ), X
% 100.44/100.86 ), inverse( X ) ), identity ) ) ] )
% 100.44/100.86 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40675, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 27, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 100.44/100.86 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 100.44/100.86 , 0, clause( 40674, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( 'greatest_lower_bound'( identity, inverse( X ) )
% 100.44/100.86 , identity ) ) ] )
% 100.44/100.86 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40676, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.44/100.86 , clause( 39008, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, clause( 40675, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.44/100.86 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40677, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 40676, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 39079, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , clause( 40677, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40679, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 9298, [ =( 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40681, [ =( identity, 'greatest_lower_bound'( inverse( inverse(
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ), inverse( 'greatest_lower_bound'(
% 100.44/100.86 X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 39079, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 100.44/100.86 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 100.44/100.86 , 0, clause( 40679, [ =( identity, 'greatest_lower_bound'( inverse(
% 100.44/100.86 'greatest_lower_bound'( identity, inverse( X ) ) ), inverse(
% 100.44/100.86 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 100.44/100.86 ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40682, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.44/100.86 identity, X ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 100.44/100.86 , 0, clause( 40681, [ =( identity, 'greatest_lower_bound'( inverse( inverse(
% 100.44/100.86 'least_upper_bound'( identity, X ) ) ), inverse( 'greatest_lower_bound'(
% 100.44/100.86 X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, 3, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 100.44/100.86 substitution( 1, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqswap(
% 100.44/100.86 clause( 40683, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 100.44/100.86 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40682, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 100.44/100.86 identity, X ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [ :=( X, X )] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 39180, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity,
% 100.44/100.86 X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ] )
% 100.44/100.86 , clause( 40683, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.44/100.86 , X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ]
% 100.44/100.86 )
% 100.44/100.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 paramod(
% 100.44/100.86 clause( 40686, [ ~( =( identity, identity ) ) ] )
% 100.44/100.86 , clause( 39180, [ =( 'greatest_lower_bound'( 'least_upper_bound'( identity
% 100.44/100.86 , X ), inverse( 'greatest_lower_bound'( X, identity ) ) ), identity ) ]
% 100.44/100.86 )
% 100.44/100.86 , 0, clause( 198, [ ~( =( 'greatest_lower_bound'( 'least_upper_bound'(
% 100.44/100.86 identity, a ), inverse( 'greatest_lower_bound'( a, identity ) ) ),
% 100.44/100.86 identity ) ) ] )
% 100.44/100.86 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 eqrefl(
% 100.44/100.86 clause( 40687, [] )
% 100.44/100.86 , clause( 40686, [ ~( =( identity, identity ) ) ] )
% 100.44/100.86 , 0, substitution( 0, [] )).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 subsumption(
% 100.44/100.86 clause( 39803, [] )
% 100.44/100.86 , clause( 40687, [] )
% 100.44/100.86 , substitution( 0, [] ), permutation( 0, [] ) ).
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 end.
% 100.44/100.86
% 100.44/100.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.44/100.86
% 100.44/100.86 Memory use:
% 100.44/100.86
% 100.44/100.86 space for terms: 572201
% 100.44/100.86 space for clauses: 4164417
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 clauses generated: 28466414
% 100.44/100.86 clauses kept: 39804
% 100.44/100.86 clauses selected: 6992
% 100.44/100.86 clauses deleted: 4089
% 100.44/100.86 clauses inuse deleted: 1949
% 100.44/100.86
% 100.44/100.86 subsentry: 1203766
% 100.44/100.86 literals s-matched: 1201595
% 100.44/100.86 literals matched: 1201473
% 100.44/100.86 full subsumption: 0
% 100.44/100.86
% 100.44/100.86 checksum: -1259209816
% 100.44/100.86
% 100.44/100.86
% 100.44/100.86 Bliksem ended
%------------------------------------------------------------------------------