TSTP Solution File: GRP186-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP186-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:59 EDT 2022
% Result : Unsatisfiable 113.73s 114.12s
% Output : Refutation 113.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP186-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 05:47:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 113.73/114.12 *** allocated 10000 integers for termspace/termends
% 113.73/114.12 *** allocated 10000 integers for clauses
% 113.73/114.12 *** allocated 10000 integers for justifications
% 113.73/114.12 Bliksem 1.12
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Automatic Strategy Selection
% 113.73/114.12
% 113.73/114.12 Clauses:
% 113.73/114.12 [
% 113.73/114.12 [ =( multiply( identity, X ), X ) ],
% 113.73/114.12 [ =( multiply( inverse( X ), X ), identity ) ],
% 113.73/114.12 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 113.73/114.12 ],
% 113.73/114.12 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 113.73/114.12 ,
% 113.73/114.12 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 113.73/114.12 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 113.73/114.12 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 113.73/114.12 [ =( 'least_upper_bound'( X, X ), X ) ],
% 113.73/114.12 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 113.73/114.12 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 113.73/114.12 ,
% 113.73/114.12 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 113.73/114.12 ,
% 113.73/114.12 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 113.73/114.12 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 113.73/114.12 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 113.73/114.12 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 113.73/114.12 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 113.73/114.12 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 113.73/114.12 [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ), multiply( a,
% 113.73/114.12 inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) ) ]
% 113.73/114.12 ] .
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 percentage equality = 1.000000, percentage horn = 1.000000
% 113.73/114.12 This is a pure equality problem
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Options Used:
% 113.73/114.12
% 113.73/114.12 useres = 1
% 113.73/114.12 useparamod = 1
% 113.73/114.12 useeqrefl = 1
% 113.73/114.12 useeqfact = 1
% 113.73/114.12 usefactor = 1
% 113.73/114.12 usesimpsplitting = 0
% 113.73/114.12 usesimpdemod = 5
% 113.73/114.12 usesimpres = 3
% 113.73/114.12
% 113.73/114.12 resimpinuse = 1000
% 113.73/114.12 resimpclauses = 20000
% 113.73/114.12 substype = eqrewr
% 113.73/114.12 backwardsubs = 1
% 113.73/114.12 selectoldest = 5
% 113.73/114.12
% 113.73/114.12 litorderings [0] = split
% 113.73/114.12 litorderings [1] = extend the termordering, first sorting on arguments
% 113.73/114.12
% 113.73/114.12 termordering = kbo
% 113.73/114.12
% 113.73/114.12 litapriori = 0
% 113.73/114.12 termapriori = 1
% 113.73/114.12 litaposteriori = 0
% 113.73/114.12 termaposteriori = 0
% 113.73/114.12 demodaposteriori = 0
% 113.73/114.12 ordereqreflfact = 0
% 113.73/114.12
% 113.73/114.12 litselect = negord
% 113.73/114.12
% 113.73/114.12 maxweight = 15
% 113.73/114.12 maxdepth = 30000
% 113.73/114.12 maxlength = 115
% 113.73/114.12 maxnrvars = 195
% 113.73/114.12 excuselevel = 1
% 113.73/114.12 increasemaxweight = 1
% 113.73/114.12
% 113.73/114.12 maxselected = 10000000
% 113.73/114.12 maxnrclauses = 10000000
% 113.73/114.12
% 113.73/114.12 showgenerated = 0
% 113.73/114.12 showkept = 0
% 113.73/114.12 showselected = 0
% 113.73/114.12 showdeleted = 0
% 113.73/114.12 showresimp = 1
% 113.73/114.12 showstatus = 2000
% 113.73/114.12
% 113.73/114.12 prologoutput = 1
% 113.73/114.12 nrgoals = 5000000
% 113.73/114.12 totalproof = 1
% 113.73/114.12
% 113.73/114.12 Symbols occurring in the translation:
% 113.73/114.12
% 113.73/114.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 113.73/114.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 113.73/114.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 113.73/114.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 113.73/114.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 113.73/114.12 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 113.73/114.12 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 113.73/114.12 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 113.73/114.12 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 113.73/114.12 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 113.73/114.12 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 113.73/114.12 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Starting Search:
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 25055
% 113.73/114.12 Kept: 2004
% 113.73/114.12 Inuse: 197
% 113.73/114.12 Deleted: 13
% 113.73/114.12 Deletedinuse: 8
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 106659
% 113.73/114.12 Kept: 4005
% 113.73/114.12 Inuse: 441
% 113.73/114.12 Deleted: 28
% 113.73/114.12 Deletedinuse: 8
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 172335
% 113.73/114.12 Kept: 6011
% 113.73/114.12 Inuse: 602
% 113.73/114.12 Deleted: 82
% 113.73/114.12 Deletedinuse: 34
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 297984
% 113.73/114.12 Kept: 8012
% 113.73/114.12 Inuse: 777
% 113.73/114.12 Deleted: 133
% 113.73/114.12 Deletedinuse: 80
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 665659
% 113.73/114.12 Kept: 10018
% 113.73/114.12 Inuse: 1123
% 113.73/114.12 Deleted: 190
% 113.73/114.12 Deletedinuse: 80
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 1918125
% 113.73/114.12 Kept: 12023
% 113.73/114.12 Inuse: 1719
% 113.73/114.12 Deleted: 278
% 113.73/114.12 Deletedinuse: 80
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 2131236
% 113.73/114.12 Kept: 14120
% 113.73/114.12 Inuse: 1842
% 113.73/114.12 Deleted: 306
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 2213924
% 113.73/114.12 Kept: 16162
% 113.73/114.12 Inuse: 1884
% 113.73/114.12 Deleted: 309
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 2336861
% 113.73/114.12 Kept: 18167
% 113.73/114.12 Inuse: 1946
% 113.73/114.12 Deleted: 309
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying clauses:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 2513840
% 113.73/114.12 Kept: 20179
% 113.73/114.12 Inuse: 2024
% 113.73/114.12 Deleted: 2162
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 2825712
% 113.73/114.12 Kept: 22221
% 113.73/114.12 Inuse: 2159
% 113.73/114.12 Deleted: 2162
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 3253561
% 113.73/114.12 Kept: 24227
% 113.73/114.12 Inuse: 2329
% 113.73/114.12 Deleted: 2162
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 3858718
% 113.73/114.12 Kept: 26231
% 113.73/114.12 Inuse: 2553
% 113.73/114.12 Deleted: 2165
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 4779497
% 113.73/114.12 Kept: 28234
% 113.73/114.12 Inuse: 2877
% 113.73/114.12 Deleted: 2170
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 6237694
% 113.73/114.12 Kept: 30234
% 113.73/114.12 Inuse: 3279
% 113.73/114.12 Deleted: 2194
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 8944931
% 113.73/114.12 Kept: 32234
% 113.73/114.12 Inuse: 3819
% 113.73/114.12 Deleted: 2194
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 13985794
% 113.73/114.12 Kept: 34243
% 113.73/114.12 Inuse: 4911
% 113.73/114.12 Deleted: 2234
% 113.73/114.12 Deletedinuse: 81
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 17211489
% 113.73/114.12 Kept: 36251
% 113.73/114.12 Inuse: 5554
% 113.73/114.12 Deleted: 2388
% 113.73/114.12 Deletedinuse: 217
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 Intermediate Status:
% 113.73/114.12 Generated: 24914981
% 113.73/114.12 Kept: 38251
% 113.73/114.12 Inuse: 6561
% 113.73/114.12 Deleted: 2448
% 113.73/114.12 Deletedinuse: 249
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12 Done
% 113.73/114.12
% 113.73/114.12 Resimplifying inuse:
% 113.73/114.12
% 113.73/114.12 Bliksems!, er is een bewijs:
% 113.73/114.12 % SZS status Unsatisfiable
% 113.73/114.12 % SZS output start Refutation
% 113.73/114.12
% 113.73/114.12 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 113.73/114.12 , Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 113.73/114.12 X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 113.73/114.12 ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 113.73/114.12 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 113.73/114.12 ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 113.73/114.12 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 113.73/114.12 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 15, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 113.73/114.12 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 113.73/114.12 , identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 113.73/114.12 identity ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 113.73/114.12 ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 113.73/114.12 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 113.73/114.12 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( Y, Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 113.73/114.12 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 113.73/114.12 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 113.73/114.12 multiply( Y, X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 113.73/114.12 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'least_upper_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 113.73/114.12 'least_upper_bound'( identity, Y ), X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.12 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 113.73/114.12 , Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 151, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 113.73/114.12 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 160, [ =( inverse( identity ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 113.73/114.12 ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 113.73/114.12 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 173, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( inverse(
% 113.73/114.12 b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 113.73/114.12 ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 199, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 113.73/114.12 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 113.73/114.12 )
% 113.73/114.12 .
% 113.73/114.12 clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 113.73/114.12 ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 211, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.12 inverse( X ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 215, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 113.73/114.12 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 225, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 241, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 113.73/114.12 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 248, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 259, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 273, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 288, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 525, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 113.73/114.12 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 528, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 113.73/114.12 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 542, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 113.73/114.12 identity, Y ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 544, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 113.73/114.12 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 555, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 113.73/114.12 Y, identity ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 588, [ =( 'least_upper_bound'( X, multiply( X,
% 113.73/114.12 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 597, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.12 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 616, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.12 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 750, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 113.73/114.12 'least_upper_bound'( Y, identity ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 770, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 113.73/114.12 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 1207, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.12 'least_upper_bound'( X, identity ), Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 1653, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.12 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 2156, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.12 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 2166, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 113.73/114.12 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 2633, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 113.73/114.12 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 113.73/114.12 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3103, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.12 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3124, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 113.73/114.12 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3237, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.12 inverse( X ), identity ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3297, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 113.73/114.12 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 3308, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.12 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4020, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 113.73/114.12 ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4181, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 113.73/114.12 multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4331, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4370, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4805, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 113.73/114.12 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4935, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.12 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4952, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.12 inverse( X ), Y ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4962, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.12 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 4973, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.12 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5003, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5025, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5051, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5547, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 113.73/114.12 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 113.73/114.12 inverse( X ) ) ), X ), X ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.12 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 39019, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.12 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.12 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 39036, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 39167, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) ),
% 113.73/114.12 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 113.73/114.12 .
% 113.73/114.12 clause( 39697, [] )
% 113.73/114.12 .
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 % SZS output end Refutation
% 113.73/114.12 found a proof!
% 113.73/114.12
% 113.73/114.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 113.73/114.12
% 113.73/114.12 initialclauses(
% 113.73/114.12 [ clause( 39699, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , clause( 39700, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , clause( 39701, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39702, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ) ] )
% 113.73/114.12 , clause( 39703, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 113.73/114.12 X ) ) ] )
% 113.73/114.12 , clause( 39704, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 113.73/114.12 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 39705, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 113.73/114.12 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39706, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 113.73/114.12 , clause( 39707, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 113.73/114.12 , clause( 39708, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , clause( 39709, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , clause( 39710, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 39711, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 39712, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39713, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39714, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.12 , multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 ] ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , clause( 39699, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , clause( 39700, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39720, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 113.73/114.12 , Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39701, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 113.73/114.12 , Z ) ) ] )
% 113.73/114.12 , clause( 39720, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 113.73/114.12 X, Y ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 113.73/114.12 X ) ) ] )
% 113.73/114.12 , clause( 39702, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 113.73/114.12 ] )
% 113.73/114.12 , clause( 39703, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 113.73/114.12 X ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 113.73/114.12 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39704, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 113.73/114.12 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39705, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 113.73/114.12 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 113.73/114.12 ) ] )
% 113.73/114.12 , clause( 39708, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39709, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39762, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39710, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 113.73/114.12 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39762, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 113.73/114.12 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39773, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 113.73/114.12 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39711, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 39773, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 113.73/114.12 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39785, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39712, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 113.73/114.12 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39785, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39798, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 113.73/114.12 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39713, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , clause( 39798, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 113.73/114.12 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39812, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 113.73/114.12 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , clause( 39714, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.12 , multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, substitution( 0, [] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 15, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 113.73/114.12 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , clause( 39812, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 113.73/114.12 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39813, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 113.73/114.12 Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 113.73/114.12 ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39816, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 113.73/114.12 ), identity ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39813, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 113.73/114.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 113.73/114.12 , identity ) ] )
% 113.73/114.12 , clause( 39816, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 113.73/114.12 , Y ), identity ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39822, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 113.73/114.12 Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 113.73/114.12 ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39827, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 113.73/114.12 , identity ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39822, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 113.73/114.12 identity ) ) ] )
% 113.73/114.12 , clause( 39827, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 113.73/114.12 X, identity ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39832, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 113.73/114.12 Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 113.73/114.12 ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39837, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39832, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, identity ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 113.73/114.12 ] )
% 113.73/114.12 , clause( 39837, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 113.73/114.12 Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39842, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39843, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 39842, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.12 X, Y ) ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 113.73/114.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39846, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39843, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 113.73/114.12 ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39846, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 113.73/114.12 X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39847, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39848, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39847, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.12 X, Y ) ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39851, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39848, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 113.73/114.12 , X ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39851, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39852, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39853, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39852, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 113.73/114.12 , Y ), X ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39856, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39853, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 113.73/114.12 ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39856, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 113.73/114.12 X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39858, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 113.73/114.12 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39863, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 113.73/114.12 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 113.73/114.12 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, clause( 39858, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 113.73/114.12 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 113.73/114.12 , clause( 39863, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 113.73/114.12 'least_upper_bound'( Y, Z ) ), Z ), 'greatest_lower_bound'( X, Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39868, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 113.73/114.12 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39871, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, clause( 39868, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y ), :=( Z, 'least_upper_bound'( Y, Z ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 113.73/114.12 , clause( 39871, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 113.73/114.12 ), 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39876, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39879, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 113.73/114.12 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, clause( 39876, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.12 Y, X ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39880, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 39879, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 113.73/114.12 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 39880, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 113.73/114.12 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39882, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39885, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'least_upper_bound'( X, Y ), X ) ) ] )
% 113.73/114.12 , clause( 19, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, clause( 39882, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.12 X, Y ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39886, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 39885, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'least_upper_bound'( X, Y ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 39886, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 113.73/114.12 , 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39887, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39888, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 39887, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.12 X, Y ) ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39891, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39888, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39891, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 113.73/114.12 ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39892, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39893, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39892, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.12 X, Y ) ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 113.73/114.12 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39896, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39893, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 113.73/114.12 ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39896, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39897, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39898, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39897, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.12 Y, X ) ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 113.73/114.12 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39901, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 113.73/114.12 ), X ) ] )
% 113.73/114.12 , clause( 39898, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 113.73/114.12 ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 113.73/114.12 X ) ] )
% 113.73/114.12 , clause( 39901, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39903, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , Y ) ) ] )
% 113.73/114.12 , clause( 39, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39904, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 113.73/114.12 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 39903, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), Y ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39905, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 39904, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( Y, Z ) ) ] )
% 113.73/114.12 , clause( 39905, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39907, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39908, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 113.73/114.12 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 113.73/114.12 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 39907, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), X ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39909, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 113.73/114.12 , clause( 39908, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 113.73/114.12 , clause( 39909, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39910, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39912, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39910, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39914, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 113.73/114.12 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, clause( 39912, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 113.73/114.12 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 39914, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 113.73/114.12 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39916, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39918, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 113.73/114.12 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39916, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.12 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39921, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 113.73/114.12 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 39918, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 113.73/114.12 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 113.73/114.12 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 39921, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 113.73/114.12 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39924, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39927, [ =( multiply( inverse( identity ), X ), multiply( identity
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39924, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 113.73/114.12 ), Y ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 113.73/114.12 inverse( identity ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39928, [ =( multiply( inverse( identity ), X ), X ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39927, [ =( multiply( inverse( identity ), X ), multiply(
% 113.73/114.12 identity, X ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 113.73/114.12 , clause( 39928, [ =( multiply( inverse( identity ), X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39931, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 113.73/114.12 Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 113.73/114.12 ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39936, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 113.73/114.12 multiply( X, Y ) ) ] )
% 113.73/114.12 , clause( 67, [ =( multiply( inverse( identity ), X ), X ) ] )
% 113.73/114.12 , 0, clause( 39931, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 113.73/114.12 multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, inverse( identity ) ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 113.73/114.12 multiply( Y, X ) ) ] )
% 113.73/114.12 , clause( 39936, [ =( multiply( multiply( X, inverse( identity ) ), Y ),
% 113.73/114.12 multiply( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39941, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 113.73/114.12 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39943, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 39941, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39945, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 113.73/114.12 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, clause( 39943, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 113.73/114.12 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 39945, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39946, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39948, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, clause( 39946, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39950, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 113.73/114.12 'least_upper_bound'( Y, X ), Z ) ) ] )
% 113.73/114.12 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 39948, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 113.73/114.12 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'least_upper_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 , clause( 39950, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 113.73/114.12 'least_upper_bound'( Y, X ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39952, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39953, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 113.73/114.12 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39952, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 113.73/114.12 identity ), :=( Y, Y ), :=( Z, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39955, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.12 'least_upper_bound'( identity, X ), Y ) ) ] )
% 113.73/114.12 , clause( 39953, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 113.73/114.12 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 113.73/114.12 'least_upper_bound'( identity, Y ), X ) ) ] )
% 113.73/114.12 , clause( 39955, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.12 'least_upper_bound'( identity, X ), Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39958, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 113.73/114.12 identity ) ), Y ) ) ] )
% 113.73/114.12 , clause( 68, [ =( multiply( multiply( Y, inverse( identity ) ), X ),
% 113.73/114.12 multiply( Y, X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39961, [ =( multiply( inverse( inverse( identity ) ), X ), multiply(
% 113.73/114.12 identity, X ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39958, [ =( multiply( X, Y ), multiply( multiply( X, inverse(
% 113.73/114.12 identity ) ), Y ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 113.73/114.12 , [ :=( X, inverse( inverse( identity ) ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39962, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39961, [ =( multiply( inverse( inverse( identity ) ), X ),
% 113.73/114.12 multiply( identity, X ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 113.73/114.12 , clause( 39962, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ]
% 113.73/114.12 )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39965, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 113.73/114.12 , clause( 53, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ), X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39966, [ =( multiply( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 113.73/114.12 ), multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 39965, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, Y ), Z ), X ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, multiply( Z, Y ) ),
% 113.73/114.12 :=( Z, T )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39967, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.12 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 113.73/114.12 , Y ) ) ] )
% 113.73/114.12 , clause( 39966, [ =( multiply( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Z ), Y ), T
% 113.73/114.12 ), multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.12 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 113.73/114.12 , Y ) ) ] )
% 113.73/114.12 , clause( 39967, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.12 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 113.73/114.12 , Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39968, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39970, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 39968, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39972, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 113.73/114.12 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 39970, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 113.73/114.12 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 , clause( 39972, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 113.73/114.12 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39974, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39975, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 113.73/114.12 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39974, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.12 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 151, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 113.73/114.12 , 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 113.73/114.12 , clause( 39975, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ),
% 113.73/114.12 X ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39980, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 113.73/114.12 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39982, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39980, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, Y ), :=( Z, identity )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39984, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 113.73/114.12 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 113.73/114.12 , clause( 39982, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 113.73/114.12 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 113.73/114.12 , clause( 39984, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 113.73/114.12 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39985, [ =( X, multiply( inverse( inverse( identity ) ), X ) ) ] )
% 113.73/114.12 , clause( 138, [ =( multiply( inverse( inverse( identity ) ), X ), X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39987, [ =( inverse( identity ), identity ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39985, [ =( X, multiply( inverse( inverse( identity ) ), X ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 113.73/114.12 , [ :=( X, inverse( identity ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 160, [ =( inverse( identity ), identity ) ] )
% 113.73/114.12 , clause( 39987, [ =( inverse( identity ), identity ) ] )
% 113.73/114.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39990, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 113.73/114.12 Y ) ), Y ) ) ] )
% 113.73/114.12 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 113.73/114.12 , identity ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39993, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 113.73/114.12 identity, X ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 39990, [ =( multiply( X, identity ), multiply( multiply( X,
% 113.73/114.12 inverse( Y ) ), Y ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 113.73/114.12 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 39994, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 39993, [ =( multiply( inverse( inverse( X ) ), identity ),
% 113.73/114.12 multiply( identity, X ) ) ] )
% 113.73/114.12 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 , clause( 39994, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 113.73/114.12 )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 39997, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40000, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 , 0, clause( 39997, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 113.73/114.12 ), Y ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.12 inverse( X ) ) ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 113.73/114.12 ) ] )
% 113.73/114.12 , clause( 40000, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 113.73/114.12 Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40007, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40010, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 113.73/114.12 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 113.73/114.12 ), Y ) ) ) ] )
% 113.73/114.12 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40007, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.12 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40020, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 113.73/114.12 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40010, [ =( multiply( inverse( inverse( X ) ),
% 113.73/114.12 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 113.73/114.12 inverse( inverse( X ) ), Y ) ) ) ] )
% 113.73/114.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40022, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 113.73/114.12 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40020, [ =( multiply( inverse( inverse( X ) ),
% 113.73/114.12 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 113.73/114.12 , Y ) ) ) ] )
% 113.73/114.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 113.73/114.12 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40023, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 113.73/114.12 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , clause( 40022, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 113.73/114.12 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 113.73/114.12 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , clause( 40023, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40024, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 113.73/114.12 multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 15, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( a,
% 113.73/114.12 inverse( b ) ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, substitution( 0, [] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40025, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 113.73/114.12 multiply( a, inverse( 'greatest_lower_bound'( inverse( b ), a ) ) ) ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 40024, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity
% 113.73/114.12 ), multiply( a, inverse( 'greatest_lower_bound'( a, inverse( b ) ) ) ) )
% 113.73/114.12 ) ] )
% 113.73/114.12 , 0, 10, substitution( 0, [ :=( X, a ), :=( Y, inverse( b ) )] ),
% 113.73/114.12 substitution( 1, [] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40028, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 113.73/114.12 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 40025, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.12 , multiply( a, inverse( 'greatest_lower_bound'( inverse( b ), a ) ) ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, substitution( 0, [] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 173, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'( inverse(
% 113.73/114.12 b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.12 , clause( 40028, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 113.73/114.12 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40029, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40032, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40029, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 113.73/114.12 ), Y ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, identity )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , clause( 40032, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40037, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40040, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, clause( 40037, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 113.73/114.12 ), Y ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, inverse( X ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.12 , clause( 40040, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40043, [ =( X, multiply( X, identity ) ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40046, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40043, [ =( X, multiply( X, identity ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 113.73/114.12 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40047, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40046, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.12 , clause( 40047, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40050, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 113.73/114.12 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40051, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40050, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.12 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, identity ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40053, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , clause( 40051, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 113.73/114.12 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , clause( 40053, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 113.73/114.12 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40056, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 113.73/114.12 Y ) ), Y ) ) ] )
% 113.73/114.12 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 113.73/114.12 , identity ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40058, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 113.73/114.12 inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.12 , 0, clause( 40056, [ =( multiply( X, identity ), multiply( multiply( X,
% 113.73/114.12 inverse( Y ) ), Y ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, inverse( Y ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40059, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40058, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 113.73/114.12 ), inverse( Y ) ) ) ] )
% 113.73/114.12 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40060, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 113.73/114.12 , clause( 40059, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.12 , clause( 40060, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40062, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40064, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 113.73/114.12 , clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.12 , 0, clause( 40062, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 113.73/114.12 , clause( 40064, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) )
% 113.73/114.12 , 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40068, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40073, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 113.73/114.12 identity, inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 113.73/114.12 ), identity ) ] )
% 113.73/114.12 , 0, clause( 40068, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40074, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.12 , 0, clause( 40073, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 113.73/114.12 multiply( identity, inverse( Y ) ) ) ] )
% 113.73/114.12 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 113.73/114.12 ) ] )
% 113.73/114.12 , clause( 40074, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 113.73/114.12 Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40077, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 113.73/114.12 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40079, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) ),
% 113.73/114.12 inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.12 , 0, clause( 40077, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, multiply( Y, Z ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 199, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 113.73/114.12 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 40079, [ =( multiply( 'least_upper_bound'( X, multiply( Y, Z ) )
% 113.73/114.12 , inverse( Z ) ), 'least_upper_bound'( multiply( X, inverse( Z ) ), Y ) )
% 113.73/114.12 ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40082, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40086, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 113.73/114.12 inverse( multiply( X, Y ) ) ) ) ] )
% 113.73/114.12 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40082, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 113.73/114.12 ), X ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40087, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40086, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 113.73/114.12 inverse( multiply( X, Y ) ) ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 113.73/114.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40088, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 40087, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 113.73/114.12 ) ] )
% 113.73/114.12 , clause( 40088, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 113.73/114.12 X ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40090, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40095, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.12 inverse( multiply( X, identity ) ) ) ) ] )
% 113.73/114.12 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 113.73/114.12 , identity ) ) ] )
% 113.73/114.12 , 0, clause( 40090, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.12 ) ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.12 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40096, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.12 inverse( X ) ) ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40095, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 113.73/114.12 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 113.73/114.12 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 211, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.12 inverse( X ) ) ) ] )
% 113.73/114.12 , clause( 40096, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.12 inverse( X ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40099, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 113.73/114.12 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40101, [ =( multiply( X, 'least_upper_bound'( Y, inverse( multiply(
% 113.73/114.12 Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40099, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.12 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 113.73/114.12 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Z, X ) ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 215, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply( Y
% 113.73/114.12 , X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 40101, [ =( multiply( X, 'least_upper_bound'( Y, inverse(
% 113.73/114.12 multiply( Z, X ) ) ) ), 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 113.73/114.12 ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40104, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40107, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z
% 113.73/114.12 , inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 113.73/114.12 , clause( 150, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 , 0, clause( 40104, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.12 ) ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40110, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40107, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.12 multiply( Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) )
% 113.73/114.12 ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 113.73/114.12 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 225, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 40110, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40111, [ =( 'greatest_lower_bound'( X, Z ), 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Z ) ) ] )
% 113.73/114.12 , clause( 23, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 113.73/114.12 'least_upper_bound'( X, Y ) ), Y ), 'greatest_lower_bound'( Z, Y ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40114, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 113.73/114.12 Y, 'greatest_lower_bound'( X, 'least_upper_bound'( Z, Y ) ) ) ) ] )
% 113.73/114.12 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , 0, clause( 40111, [ =( 'greatest_lower_bound'( X, Z ),
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 113.73/114.12 , Z ) ), Z ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X,
% 113.73/114.12 'least_upper_bound'( Z, Y ) ) ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 113.73/114.12 , X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40127, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 113.73/114.12 'greatest_lower_bound'( Y, X ), 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 113.73/114.12 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 113.73/114.12 , 0, clause( 40114, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.12 Z, Y ) ) ) ) ] )
% 113.73/114.12 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 113.73/114.12 'least_upper_bound'( Z, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 113.73/114.12 ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40128, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 113.73/114.12 , 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 40127, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.12 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 241, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 113.73/114.12 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 113.73/114.12 , clause( 40128, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X
% 113.73/114.12 ), 'least_upper_bound'( Z, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40129, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40130, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 113.73/114.12 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 225, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, clause( 40129, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.12 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40133, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 113.73/114.12 , clause( 40130, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 113.73/114.12 Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 248, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 113.73/114.12 , clause( 40133, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40135, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40138, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 241, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X )
% 113.73/114.12 , 'least_upper_bound'( Y, Z ) ), 'greatest_lower_bound'( X, Z ) ) ] )
% 113.73/114.12 , 0, clause( 40135, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), X ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 113.73/114.12 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 113.73/114.12 'least_upper_bound'( Z, X ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40139, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 40138, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.12 'greatest_lower_bound'( Y, X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 259, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , clause( 40139, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.12 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40140, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40143, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply( Z,
% 113.73/114.12 inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 113.73/114.12 , clause( 114, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 113.73/114.12 'least_upper_bound'( Z, X ), Y ) ) ] )
% 113.73/114.12 , 0, clause( 40140, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.12 ) ) ) ) ] )
% 113.73/114.12 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 113.73/114.12 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 113.73/114.12 ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40146, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 113.73/114.12 'least_upper_bound'( Y, X ) ) ) ] )
% 113.73/114.12 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40143, [ =( inverse( 'least_upper_bound'( X, Y ) ), multiply(
% 113.73/114.12 Z, inverse( multiply( 'least_upper_bound'( Y, X ), Z ) ) ) ) ] )
% 113.73/114.12 , 0, 5, substitution( 0, [ :=( X, 'least_upper_bound'( Y, X ) ), :=( Y, Z )] )
% 113.73/114.12 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 273, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 40146, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 113.73/114.12 'least_upper_bound'( Y, X ) ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40147, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 113.73/114.12 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40148, [ =( identity, multiply( inverse( 'least_upper_bound'( Y, X
% 113.73/114.12 ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 273, [ =( inverse( 'least_upper_bound'( Y, X ) ), inverse(
% 113.73/114.12 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, clause( 40147, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.12 :=( X, 'least_upper_bound'( X, Y ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40151, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 113.73/114.12 'least_upper_bound'( Y, X ) ), identity ) ] )
% 113.73/114.12 , clause( 40148, [ =( identity, multiply( inverse( 'least_upper_bound'( Y,
% 113.73/114.12 X ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 288, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 113.73/114.12 'least_upper_bound'( X, Y ) ), identity ) ] )
% 113.73/114.12 , clause( 40151, [ =( multiply( inverse( 'least_upper_bound'( X, Y ) ),
% 113.73/114.12 'least_upper_bound'( Y, X ) ), identity ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40152, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40153, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 113.73/114.12 , clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40154, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 113.73/114.12 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 113.73/114.12 , clause( 40152, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 113.73/114.12 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, clause( 40153, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 113.73/114.12 )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, 'greatest_lower_bound'( identity, Y ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40155, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 113.73/114.12 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 113.73/114.12 , clause( 40154, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.12 Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 525, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 113.73/114.12 inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 113.73/114.12 , clause( 40155, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y )
% 113.73/114.12 ), inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40157, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40176, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( multiply(
% 113.73/114.12 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 113.73/114.12 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 113.73/114.12 ), identity ) ] )
% 113.73/114.12 , 0, clause( 40157, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 113.73/114.12 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40178, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( inverse(
% 113.73/114.12 Y ), identity ) ) ] )
% 113.73/114.12 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40176, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 113.73/114.12 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 113.73/114.12 multiply( inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 113.73/114.12 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40179, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 113.73/114.12 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.12 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.12 ) ) ] )
% 113.73/114.12 , 0, clause( 40178, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 113.73/114.12 ), 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'(
% 113.73/114.12 inverse( Y ), identity ) ) ] )
% 113.73/114.12 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 528, [ =( multiply( inverse( Y ), 'greatest_lower_bound'( identity
% 113.73/114.12 , Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.12 , clause( 40179, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 113.73/114.12 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40184, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.12 , X ) ) ] )
% 113.73/114.12 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40185, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 113.73/114.12 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , 0, clause( 40184, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 113.73/114.12 , Y ), X ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.12 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40186, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 113.73/114.12 , clause( 40185, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 542, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 113.73/114.12 identity, Y ) ), X ), X ) ] )
% 113.73/114.12 , clause( 40186, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40188, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 113.73/114.12 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.12 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40190, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 113.73/114.12 multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.12 , clause( 20, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 113.73/114.12 , X ) ] )
% 113.73/114.12 , 0, clause( 40188, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 113.73/114.12 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.12 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, Y )] ), substitution(
% 113.73/114.12 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, identity ) )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 paramod(
% 113.73/114.12 clause( 40191, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.12 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.12 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.12 , 0, clause( 40190, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 113.73/114.12 , multiply( X, 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.12 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.12 :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40192, [ =( 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.12 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.12 , clause( 40191, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.12 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 subsumption(
% 113.73/114.12 clause( 544, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 113.73/114.12 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 113.73/114.12 , clause( 40192, [ =( 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.12 'least_upper_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.12 )] ) ).
% 113.73/114.12
% 113.73/114.12
% 113.73/114.12 eqswap(
% 113.73/114.12 clause( 40193, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.12 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 113.73/114.13 , clause( 542, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( identity, Y ) ), X ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40194, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 113.73/114.13 , clause( 76, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 113.73/114.13 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 113.73/114.13 , 0, clause( 40193, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( identity, Y ) ), X ) ) ] )
% 113.73/114.13 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y )] ),
% 113.73/114.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40197, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40194, [ =( X, 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 555, [ =( 'least_upper_bound'( multiply( X, 'greatest_lower_bound'(
% 113.73/114.13 Y, identity ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40197, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40199, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.13 'least_upper_bound'( X, Y ), X ) ) ] )
% 113.73/114.13 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.13 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40201, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 113.73/114.13 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , clause( 555, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 113.73/114.13 , 0, clause( 40199, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 113.73/114.13 'least_upper_bound'( X, Y ), X ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, multiply( X, 'greatest_lower_bound'( Y, identity ) ) ), :=( Y, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40202, [ =( X, 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , clause( 555, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), X ) ] )
% 113.73/114.13 , 0, clause( 40201, [ =( 'least_upper_bound'( multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ), X ), 'least_upper_bound'( X,
% 113.73/114.13 multiply( X, 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40204, [ =( 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40202, [ =( X, 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 588, [ =( 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40204, [ =( 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40207, [ =( X, 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , clause( 588, [ =( 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40208, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 identity ) ) ] )
% 113.73/114.13 , clause( 248, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40207, [ =( X, 'least_upper_bound'( X, multiply( X,
% 113.73/114.13 'greatest_lower_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 113.73/114.13 substitution( 1, [ :=( X, inverse( 'greatest_lower_bound'( identity, X )
% 113.73/114.13 ) ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40209, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40208, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 identity ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 597, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40209, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40211, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.13 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , clause( 544, [ =( 'greatest_lower_bound'( Y, multiply( Y,
% 113.73/114.13 'least_upper_bound'( X, identity ) ) ), Y ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40212, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 113.73/114.13 identity ) ) ] )
% 113.73/114.13 , clause( 288, [ =( multiply( inverse( 'least_upper_bound'( Y, X ) ),
% 113.73/114.13 'least_upper_bound'( X, Y ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40211, [ =( X, 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.13 'least_upper_bound'( Y, identity ) ) ) ) ] )
% 113.73/114.13 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 113.73/114.13 substitution( 1, [ :=( X, inverse( 'least_upper_bound'( identity, X ) ) )
% 113.73/114.13 , :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40213, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40212, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ),
% 113.73/114.13 identity ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 616, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40213, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40214, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 113.73/114.13 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 113.73/114.13 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40215, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 113.73/114.13 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 113.73/114.13 , clause( 40214, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 113.73/114.13 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , 0, clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 113.73/114.13 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 750, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 113.73/114.13 'least_upper_bound'( Y, identity ) ) ) ] )
% 113.73/114.13 , clause( 40215, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 113.73/114.13 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40218, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 113.73/114.13 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , clause( 171, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 113.73/114.13 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40237, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 113.73/114.13 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 113.73/114.13 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 113.73/114.13 , clause( 16, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 113.73/114.13 ), identity ) ] )
% 113.73/114.13 , 0, clause( 40218, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 113.73/114.13 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , 0, 18, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40239, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 113.73/114.13 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y ),
% 113.73/114.13 identity ) ) ] )
% 113.73/114.13 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, clause( 40237, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 113.73/114.13 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( multiply(
% 113.73/114.13 inverse( multiply( X, Y ) ), X ), identity ) ) ] )
% 113.73/114.13 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40240, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 113.73/114.13 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.13 , clause( 195, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, clause( 40239, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 113.73/114.13 ), 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( inverse( Y
% 113.73/114.13 ), identity ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 770, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity, Y
% 113.73/114.13 ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.13 , clause( 40240, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity
% 113.73/114.13 , Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40245, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 113.73/114.13 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 113.73/114.13 , clause( 117, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 113.73/114.13 'least_upper_bound'( identity, Y ), X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40258, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 113.73/114.13 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 113.73/114.13 X ), Y ) ) ) ] )
% 113.73/114.13 , clause( 750, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 113.73/114.13 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 113.73/114.13 , 0, clause( 40245, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 113.73/114.13 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 113.73/114.13 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40261, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 113.73/114.13 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.13 , 0, clause( 40258, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 113.73/114.13 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 113.73/114.13 identity, X ), Y ) ) ) ] )
% 113.73/114.13 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40263, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 113.73/114.13 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.13 , 0, clause( 40261, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 113.73/114.13 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 113.73/114.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40264, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.13 'least_upper_bound'( X, identity ), Y ) ) ] )
% 113.73/114.13 , clause( 40263, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 113.73/114.13 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 1207, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.13 'least_upper_bound'( X, identity ), Y ) ) ] )
% 113.73/114.13 , clause( 40264, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.13 'least_upper_bound'( X, identity ), Y ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40265, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , clause( 65, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 113.73/114.13 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40266, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 113.73/114.13 , clause( 184, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40267, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 113.73/114.13 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 113.73/114.13 ] )
% 113.73/114.13 , clause( 40265, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 113.73/114.13 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , 0, clause( 40266, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, inverse( X ) ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40268, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40267, [ =( inverse( X ), multiply( 'least_upper_bound'( identity
% 113.73/114.13 , multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) )
% 113.73/114.13 ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 1653, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40268, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40270, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40272, [ =( inverse( inverse( X ) ), multiply( 'least_upper_bound'(
% 113.73/114.13 identity, X ), inverse( 'least_upper_bound'( inverse( X ), identity ) ) )
% 113.73/114.13 ) ] )
% 113.73/114.13 , clause( 770, [ =( multiply( inverse( Y ), 'least_upper_bound'( identity,
% 113.73/114.13 Y ) ), 'least_upper_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.13 , 0, clause( 40270, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40273, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 113.73/114.13 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40272, [ =( inverse( inverse( X ) ), multiply(
% 113.73/114.13 'least_upper_bound'( identity, X ), inverse( 'least_upper_bound'( inverse(
% 113.73/114.13 X ), identity ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40274, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40273, [ =( X, multiply( 'least_upper_bound'( identity, X ),
% 113.73/114.13 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 2156, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40274, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40276, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40278, [ =( inverse( inverse( X ) ), multiply(
% 113.73/114.13 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , clause( 528, [ =( multiply( inverse( Y ), 'greatest_lower_bound'(
% 113.73/114.13 identity, Y ) ), 'greatest_lower_bound'( inverse( Y ), identity ) ) ] )
% 113.73/114.13 , 0, clause( 40276, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse( X ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40279, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40278, [ =( inverse( inverse( X ) ), multiply(
% 113.73/114.13 'greatest_lower_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40280, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40279, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 2166, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40280, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40282, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 113.73/114.13 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.13 , clause( 40, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 113.73/114.13 'greatest_lower_bound'( Y, Z ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40285, [ =( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , clause( 616, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'least_upper_bound'( identity, X )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, clause( 40282, [ =( 'greatest_lower_bound'( Y, Z ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ), Z ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 113.73/114.13 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.13 'least_upper_bound'( identity, Y ) ) ), :=( Y, identity ), :=( Z, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40290, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , clause( 40285, [ =( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, Y ) ), X ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 2633, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 113.73/114.13 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 113.73/114.13 , clause( 40290, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( identity, Y ) ), X ), 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40292, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 113.73/114.13 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 113.73/114.13 , clause( 154, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 113.73/114.13 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40297, [ =( multiply( 'greatest_lower_bound'(
% 113.73/114.13 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 113.73/114.13 , identity ) ) ) ) ] )
% 113.73/114.13 , clause( 2166, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40292, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 113.73/114.13 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 113.73/114.13 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ), :=( Y, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40298, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 113.73/114.13 , identity ) ) ) ) ] )
% 113.73/114.13 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 113.73/114.13 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.13 , 0, clause( 40297, [ =( multiply( 'greatest_lower_bound'(
% 113.73/114.13 'greatest_lower_bound'( identity, X ), identity ), inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 113.73/114.13 , identity ) ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 113.73/114.13 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40299, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , clause( 2166, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40298, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( inverse( X )
% 113.73/114.13 , identity ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40300, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40299, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 3103, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , clause( 40300, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40302, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.13 , clause( 26, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ),
% 113.73/114.13 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'( Z, X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40304, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 113.73/114.13 , clause( 3103, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40302, [ =( 'greatest_lower_bound'( X, Y ),
% 113.73/114.13 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 113.73/114.13 'least_upper_bound'( Y, Z ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 :=( Z, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40305, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 113.73/114.13 , clause( 3103, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40304, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40307, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 113.73/114.13 , clause( 40305, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 3124, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ] )
% 113.73/114.13 , clause( 40307, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 113.73/114.13 )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40310, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 113.73/114.13 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 113.73/114.13 , clause( 1207, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 113.73/114.13 'least_upper_bound'( X, identity ), Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40316, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 113.73/114.13 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 113.73/114.13 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , clause( 2156, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40310, [ =( multiply( 'least_upper_bound'( Y, identity ), X )
% 113.73/114.13 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 113.73/114.13 , 0, 18, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 113.73/114.13 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ), :=( Y,
% 113.73/114.13 'least_upper_bound'( identity, X ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40317, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), 'least_upper_bound'(
% 113.73/114.13 inverse( 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , clause( 35, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 113.73/114.13 'least_upper_bound'( X, Y ) ) ] )
% 113.73/114.13 , 0, clause( 40316, [ =( multiply( 'least_upper_bound'( 'least_upper_bound'(
% 113.73/114.13 identity, X ), identity ), inverse( 'least_upper_bound'( inverse( X ),
% 113.73/114.13 identity ) ) ), 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 113.73/114.13 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40318, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , clause( 2156, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40317, [ =( multiply( 'least_upper_bound'( identity, X ),
% 113.73/114.13 inverse( 'least_upper_bound'( inverse( X ), identity ) ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'least_upper_bound'( inverse( X ), identity
% 113.73/114.13 ) ), X ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40319, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40318, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 3237, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40319, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40321, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , clause( 3237, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 inverse( X ), identity ) ), X ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40322, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40321, [ =( X, 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( inverse( X ), identity ) ), X ) ) ] )
% 113.73/114.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.13 X ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40323, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 113.73/114.13 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40322, [ =( inverse( X ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, identity ) ), inverse( X ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 3297, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 113.73/114.13 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40323, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.13 , identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40325, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40326, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 3297, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 113.73/114.13 identity ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , 0, clause( 40325, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 X, Y ) ) ) ] )
% 113.73/114.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 113.73/114.13 inverse( 'least_upper_bound'( X, identity ) ) ), :=( Y, inverse( X ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40327, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.13 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40326, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 3308, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.13 , identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X, identity
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40327, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40329, [ =( multiply( X, Z ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 113.73/114.13 ), multiply( X, Z ) ) ) ] )
% 113.73/114.13 , clause( 144, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Z ), Y ), T ), multiply( X, Y ) ), multiply( X
% 113.73/114.13 , Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40331, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 113.73/114.13 X ) ), Z ), identity ) ) ] )
% 113.73/114.13 , clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40329, [ =( multiply( X, Z ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), Z ), T
% 113.73/114.13 ), multiply( X, Z ) ) ) ] )
% 113.73/114.13 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y ), :=( Z, inverse( X ) ), :=( T, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40333, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.13 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 113.73/114.13 ) ] )
% 113.73/114.13 , clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40331, [ =( multiply( X, inverse( X ) ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 113.73/114.13 X ) ), Z ), identity ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40335, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 113.73/114.13 ) ] )
% 113.73/114.13 , clause( 40333, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.13 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 113.73/114.13 ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4020, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 113.73/114.13 ) ] )
% 113.73/114.13 , clause( 40335, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 113.73/114.13 ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 113.73/114.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40339, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 201, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40342, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 113.73/114.13 multiply( X, inverse( 'greatest_lower_bound'( identity, multiply( Y, X )
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , clause( 151, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 113.73/114.13 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 113.73/114.13 , 0, clause( 40339, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, 'greatest_lower_bound'( inverse( X ), Y ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40343, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 113.73/114.13 , multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ),
% 113.73/114.13 Y ) ) ) ] )
% 113.73/114.13 , clause( 40342, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 113.73/114.13 , multiply( X, inverse( 'greatest_lower_bound'( identity, multiply( Y, X
% 113.73/114.13 ) ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4181, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 113.73/114.13 multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40343, [ =( multiply( X, inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40345, [ =( identity, 'least_upper_bound'( 'greatest_lower_bound'(
% 113.73/114.13 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity )
% 113.73/114.13 ) ] )
% 113.73/114.13 , clause( 4020, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), Z ), identity ), identity
% 113.73/114.13 ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40346, [ =( identity, 'least_upper_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 113.73/114.13 , clause( 3124, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), identity ) ), Y ) ), X ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, clause( 40345, [ =( identity, 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 113.73/114.13 X ) ), Z ), identity ) ) ] )
% 113.73/114.13 , 0, 3, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 113.73/114.13 , inverse( X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 113.73/114.13 Y ), :=( Z, 'least_upper_bound'( inverse( 'greatest_lower_bound'( inverse(
% 113.73/114.13 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ), identity ) )
% 113.73/114.13 , Z ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40348, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.13 , clause( 40346, [ =( identity, 'least_upper_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4331, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 113.73/114.13 , Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.13 , clause( 40348, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40351, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 3308, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 X, identity ) ), inverse( X ) ), inverse( 'least_upper_bound'( X,
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40356, [ =( inverse( 'least_upper_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , clause( 4331, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.13 , 0, clause( 40351, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40357, [ =( inverse( identity ), 'greatest_lower_bound'( inverse(
% 113.73/114.13 identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 113.73/114.13 ) ) ) ) ) ] )
% 113.73/114.13 , clause( 4331, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 113.73/114.13 , 0, clause( 40356, [ =( inverse( 'least_upper_bound'( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( identity ), inverse( multiply(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40362, [ =( inverse( identity ), 'greatest_lower_bound'( identity,
% 113.73/114.13 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 113.73/114.13 , 0, clause( 40357, [ =( inverse( identity ), 'greatest_lower_bound'(
% 113.73/114.13 inverse( identity ), inverse( multiply( 'greatest_lower_bound'( X, Y ),
% 113.73/114.13 inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40363, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 113.73/114.13 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 113.73/114.13 , 0, clause( 40362, [ =( inverse( identity ), 'greatest_lower_bound'(
% 113.73/114.13 identity, inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40366, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 113.73/114.13 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 113.73/114.13 , clause( 211, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , 0, clause( 40363, [ =( identity, 'greatest_lower_bound'( identity,
% 113.73/114.13 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 113.73/114.13 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40367, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 113.73/114.13 , clause( 40366, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 113.73/114.13 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4370, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 113.73/114.13 , clause( 40367, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 113.73/114.13 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40369, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X, Y
% 113.73/114.13 ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 113.73/114.13 , clause( 525, [ =( multiply( 'greatest_lower_bound'( X, multiply( X, Y ) )
% 113.73/114.13 , inverse( 'greatest_lower_bound'( identity, Y ) ) ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40374, [ =( X, multiply( 'greatest_lower_bound'( X, multiply( X,
% 113.73/114.13 multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , clause( 4370, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40369, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 X, Y ) ), inverse( 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 113.73/114.13 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) )
% 113.73/114.13 ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40375, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 113.73/114.13 ), Z ) ) ] )
% 113.73/114.13 , 0, clause( 40374, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 X, multiply( Y, inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ), inverse(
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40376, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 160, [ =( inverse( identity ), identity ) ] )
% 113.73/114.13 , 0, clause( 40375, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), inverse(
% 113.73/114.13 identity ) ) ) ] )
% 113.73/114.13 , 0, 13, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 113.73/114.13 :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40377, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 113.73/114.13 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 113.73/114.13 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.13 , 0, clause( 40376, [ =( X, multiply( 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), identity
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, multiply(
% 113.73/114.13 multiply( X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) )] ),
% 113.73/114.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40378, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 113.73/114.13 , clause( 40377, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 113.73/114.13 Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4805, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 113.73/114.13 , clause( 40378, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, Y )
% 113.73/114.13 , inverse( 'greatest_lower_bound'( Y, Z ) ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 113.73/114.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40380, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, Y
% 113.73/114.13 ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 113.73/114.13 , clause( 4805, [ =( 'greatest_lower_bound'( Z, multiply( multiply( Z, X )
% 113.73/114.13 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ), Z ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40382, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 113.73/114.13 , clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 113.73/114.13 , 0, clause( 40380, [ =( X, 'greatest_lower_bound'( X, multiply( multiply(
% 113.73/114.13 X, Y ), inverse( 'greatest_lower_bound'( Y, Z ) ) ) ) ) ] )
% 113.73/114.13 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40383, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 113.73/114.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.13 , 0, clause( 40382, [ =( X, 'greatest_lower_bound'( X, multiply( identity,
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ) ] )
% 113.73/114.13 , 0, 4, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( inverse(
% 113.73/114.13 X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40384, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.13 , clause( 40383, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4935, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.13 , clause( 40384, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40386, [ =( 'greatest_lower_bound'( Y, X ), 'least_upper_bound'(
% 113.73/114.13 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.13 , clause( 259, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40390, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), Y ) ), X ), 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.13 inverse( 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ) ] )
% 113.73/114.13 , clause( 4935, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40386, [ =( 'greatest_lower_bound'( Y, X ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 113.73/114.13 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40392, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), Y ) ), X ), X ) ] )
% 113.73/114.13 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, clause( 40390, [ =( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ), X ), 'least_upper_bound'( X
% 113.73/114.13 , 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( inverse( X ),
% 113.73/114.13 Y ) ), X ) ) ) ] )
% 113.73/114.13 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) )] ), substitution( 1, [ :=(
% 113.73/114.13 X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4952, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( X ), Y ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40392, [ =( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40394, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 113.73/114.13 , clause( 4935, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40395, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , clause( 225, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.13 , 0, clause( 40394, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 113.73/114.13 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 113.73/114.13 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40401, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 113.73/114.13 , clause( 40395, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4962, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 113.73/114.13 , clause( 40401, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40405, [ =( X, 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 113.73/114.13 , clause( 4952, [ =( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ), X ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40406, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40405, [ =( X, 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ), X ) ) ] )
% 113.73/114.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.13 X ) ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40407, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40406, [ =( inverse( X ), 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), inverse( X ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 4973, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40407, [ =( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40409, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , clause( 4962, [ =( 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ), X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40410, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40409, [ =( X, 'greatest_lower_bound'( X, inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, inverse( X ) ) ) ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 113.73/114.13 X ) ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40411, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40410, [ =( inverse( X ), 'greatest_lower_bound'( inverse( X ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5003, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40411, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40413, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 36, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40414, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 113.73/114.13 Y ) ) ) ] )
% 113.73/114.13 , clause( 5003, [ =( 'greatest_lower_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( Y, X ) ) ), inverse( X ) ) ] )
% 113.73/114.13 , 0, clause( 40413, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 113.73/114.13 Y, X ) ) ) ] )
% 113.73/114.13 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( Y ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40415, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 113.73/114.13 , Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 113.73/114.13 , clause( 40414, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 113.73/114.13 Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5025, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( Y
% 113.73/114.13 , X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ] )
% 113.73/114.13 , clause( 40415, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 X, Y ) ), inverse( Y ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40417, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 113.73/114.13 , X ) ) ] )
% 113.73/114.13 , clause( 37, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40418, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , clause( 4973, [ =( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , 0, clause( 40417, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X
% 113.73/114.13 , Y ), X ) ) ] )
% 113.73/114.13 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), :=( Y, inverse( X ) )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40419, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40418, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5051, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 40419, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40421, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , clause( 5051, [ =( 'least_upper_bound'( inverse( X ), inverse(
% 113.73/114.13 'greatest_lower_bound'( X, Y ) ) ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40425, [ =( inverse( 'greatest_lower_bound'( 'least_upper_bound'( X
% 113.73/114.13 , Y ), Y ) ), 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y ) )
% 113.73/114.13 , inverse( Y ) ) ) ] )
% 113.73/114.13 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, clause( 40421, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 113.73/114.13 'least_upper_bound'( inverse( X ), inverse( 'greatest_lower_bound'( X, Y
% 113.73/114.13 ) ) ) ) ] )
% 113.73/114.13 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40426, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 113.73/114.13 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, clause( 40425, [ =( inverse( 'greatest_lower_bound'(
% 113.73/114.13 'least_upper_bound'( X, Y ), Y ) ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40428, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y, X
% 113.73/114.13 ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , clause( 40426, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5547, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X, Y
% 113.73/114.13 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 113.73/114.13 , clause( 40428, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 113.73/114.13 , X ) ), inverse( X ) ), inverse( X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40431, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 113.73/114.13 , clause( 5547, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 113.73/114.13 Y ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40433, [ =( inverse( inverse( X ) ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40431, [ =( inverse( Y ), 'least_upper_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( X, Y ) ), inverse( Y ) ) ) ] )
% 113.73/114.13 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 113.73/114.13 :=( Y, inverse( X ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40434, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 113.73/114.13 , inverse( X ) ) ), X ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40433, [ =( inverse( inverse( X ) ), 'least_upper_bound'(
% 113.73/114.13 inverse( 'least_upper_bound'( Y, inverse( X ) ) ), X ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40436, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 113.73/114.13 inverse( X ) ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40434, [ =( X, 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 Y, inverse( X ) ) ), X ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 113.73/114.13 inverse( X ) ) ), X ), X ) ] )
% 113.73/114.13 , clause( 40436, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y
% 113.73/114.13 , inverse( X ) ) ), X ), X ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40439, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 113.73/114.13 , X ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40440, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 113.73/114.13 , Y ) ) ] )
% 113.73/114.13 , clause( 5563, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( Y,
% 113.73/114.13 inverse( X ) ) ), X ), X ) ] )
% 113.73/114.13 , 0, clause( 40439, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 113.73/114.13 X, Y ) ) ) ] )
% 113.73/114.13 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 113.73/114.13 :=( X, inverse( 'least_upper_bound'( X, inverse( Y ) ) ) ), :=( Y, Y )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40441, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.13 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40440, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 113.73/114.13 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, inverse( Y ) ) )
% 113.73/114.13 , Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 113.73/114.13 , inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , clause( 40441, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40443, [ =( 'greatest_lower_bound'( identity, Y ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.13 , clause( 2633, [ =( 'least_upper_bound'( 'greatest_lower_bound'( inverse(
% 113.73/114.13 'least_upper_bound'( identity, X ) ), Y ), 'greatest_lower_bound'(
% 113.73/114.13 identity, Y ) ), 'greatest_lower_bound'( identity, Y ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40444, [ =( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 113.73/114.13 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , clause( 5591, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 X, inverse( Y ) ) ), Y ), inverse( 'least_upper_bound'( X, inverse( Y ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, clause( 40443, [ =( 'greatest_lower_bound'( identity, Y ),
% 113.73/114.13 'least_upper_bound'( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, X ) ), Y ), 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 113.73/114.13 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 113.73/114.13 1, [ :=( X, inverse( X ) ), :=( Y, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40445, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , clause( 40444, [ =( 'greatest_lower_bound'( identity, X ),
% 113.73/114.13 'least_upper_bound'( inverse( 'least_upper_bound'( identity, inverse( X )
% 113.73/114.13 ) ), 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 39019, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , clause( 40445, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40447, [ =( inverse( X ), multiply( 'least_upper_bound'( identity,
% 113.73/114.13 multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ) )
% 113.73/114.13 ] )
% 113.73/114.13 , clause( 1653, [ =( multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( X ), Y ) ), inverse( 'least_upper_bound'( X, Y ) ) ), inverse( X
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40454, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 113.73/114.13 , clause( 39019, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, inverse( X ) ) ), 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ] )
% 113.73/114.13 , 0, clause( 40447, [ =( inverse( X ), multiply( 'least_upper_bound'(
% 113.73/114.13 identity, multiply( inverse( X ), Y ) ), inverse( 'least_upper_bound'( X
% 113.73/114.13 , Y ) ) ) ) ] )
% 113.73/114.13 , 0, 21, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 113.73/114.13 inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ), :=( Y,
% 113.73/114.13 'greatest_lower_bound'( identity, X ) )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40455, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 113.73/114.13 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 113.73/114.13 , clause( 199, [ =( multiply( 'least_upper_bound'( Z, multiply( X, Y ) ),
% 113.73/114.13 inverse( Y ) ), 'least_upper_bound'( multiply( Z, inverse( Y ) ), X ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, clause( 40454, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), multiply( 'least_upper_bound'( identity, multiply(
% 113.73/114.13 inverse( inverse( 'least_upper_bound'( identity, inverse( X ) ) ) ),
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 113.73/114.13 , 0, 7, substitution( 0, [ :=( X, inverse( inverse( 'least_upper_bound'(
% 113.73/114.13 identity, inverse( X ) ) ) ) ), :=( Y, 'greatest_lower_bound'( identity,
% 113.73/114.13 X ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40456, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 113.73/114.13 X ) ) ) ) ) ) ] )
% 113.73/114.13 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 113.73/114.13 , 0, clause( 40455, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( multiply( identity, inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ), inverse( inverse(
% 113.73/114.13 'least_upper_bound'( identity, inverse( X ) ) ) ) ) ) ] )
% 113.73/114.13 , 0, 8, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 113.73/114.13 , X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40458, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40456, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), inverse( inverse( 'least_upper_bound'( identity, inverse(
% 113.73/114.13 X ) ) ) ) ) ) ] )
% 113.73/114.13 , 0, 12, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse(
% 113.73/114.13 X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40459, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 113.73/114.13 , clause( 181, [ =( inverse( inverse( X ) ), X ) ] )
% 113.73/114.13 , 0, clause( 40458, [ =( inverse( inverse( 'least_upper_bound'( identity,
% 113.73/114.13 inverse( X ) ) ) ), 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 113.73/114.13 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( identity, inverse( X
% 113.73/114.13 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40464, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 113.73/114.13 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 113.73/114.13 , 0, clause( 40459, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 'least_upper_bound'( identity, inverse( X ) ) ) ) ] )
% 113.73/114.13 , 0, 5, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 113.73/114.13 , X ) ) ), :=( Y, identity ), :=( Z, inverse( X ) )] ), substitution( 1
% 113.73/114.13 , [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40465, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 597, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( 'greatest_lower_bound'( identity, X
% 113.73/114.13 ) ) ) ] )
% 113.73/114.13 , 0, clause( 40464, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 identity, X ) ), identity ), inverse( X ) ) ) ] )
% 113.73/114.13 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40466, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , clause( 5025, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 113.73/114.13 Y, X ) ), inverse( X ) ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, clause( 40465, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 113.73/114.13 inverse( X ) ) ) ] )
% 113.73/114.13 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 113.73/114.13 1, [ :=( X, X )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 39036, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , clause( 40466, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40469, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z ) ),
% 113.73/114.13 multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , clause( 215, [ =( multiply( X, 'least_upper_bound'( Z, inverse( multiply(
% 113.73/114.13 Y, X ) ) ) ), 'least_upper_bound'( multiply( X, Z ), inverse( Y ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40472, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 113.73/114.13 Y ) ), multiply( X, inverse( 'greatest_lower_bound'( identity, multiply(
% 113.73/114.13 Y, X ) ) ) ) ) ] )
% 113.73/114.13 , clause( 39036, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 113.73/114.13 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 113.73/114.13 , 0, clause( 40469, [ =( 'least_upper_bound'( multiply( X, Y ), inverse( Z
% 113.73/114.13 ) ), multiply( X, 'least_upper_bound'( Y, inverse( multiply( Z, X ) ) )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, 9, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40473, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 113.73/114.13 Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , clause( 4181, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 113.73/114.13 , multiply( Y, X ) ) ) ), inverse( 'greatest_lower_bound'( inverse( X ),
% 113.73/114.13 Y ) ) ) ] )
% 113.73/114.13 , 0, clause( 40472, [ =( 'least_upper_bound'( multiply( X, identity ),
% 113.73/114.13 inverse( Y ) ), multiply( X, inverse( 'greatest_lower_bound'( identity,
% 113.73/114.13 multiply( Y, X ) ) ) ) ) ] )
% 113.73/114.13 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 113.73/114.13 :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40474, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , clause( 174, [ =( multiply( X, identity ), X ) ] )
% 113.73/114.13 , 0, clause( 40473, [ =( 'least_upper_bound'( multiply( X, identity ),
% 113.73/114.13 inverse( Y ) ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ]
% 113.73/114.13 )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 113.73/114.13 :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqswap(
% 113.73/114.13 clause( 40475, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 113.73/114.13 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 113.73/114.13 , clause( 40474, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 113.73/114.13 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 39167, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) ),
% 113.73/114.13 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 113.73/114.13 , clause( 40475, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 113.73/114.13 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 113.73/114.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 113.73/114.13 )] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40479, [ ~( =( multiply( a, 'least_upper_bound'( b, inverse( a ) )
% 113.73/114.13 ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.13 , clause( 39167, [ =( inverse( 'greatest_lower_bound'( inverse( Y ), X ) )
% 113.73/114.13 , 'least_upper_bound'( Y, inverse( X ) ) ) ] )
% 113.73/114.13 , 0, clause( 173, [ ~( =( multiply( a, inverse( 'greatest_lower_bound'(
% 113.73/114.13 inverse( b ), a ) ) ), 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.13 ) ) ] )
% 113.73/114.13 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 paramod(
% 113.73/114.13 clause( 40480, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 113.73/114.13 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.13 , clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 113.73/114.13 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 113.73/114.13 , 0, clause( 40479, [ ~( =( multiply( a, 'least_upper_bound'( b, inverse( a
% 113.73/114.13 ) ) ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.13 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 113.73/114.13 ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 eqrefl(
% 113.73/114.13 clause( 40481, [] )
% 113.73/114.13 , clause( 40480, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 113.73/114.13 , 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 113.73/114.13 , 0, substitution( 0, [] )).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 subsumption(
% 113.73/114.13 clause( 39697, [] )
% 113.73/114.13 , clause( 40481, [] )
% 113.73/114.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 end.
% 113.73/114.13
% 113.73/114.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 113.73/114.13
% 113.73/114.13 Memory use:
% 113.73/114.13
% 113.73/114.13 space for terms: 570714
% 113.73/114.13 space for clauses: 4150801
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 clauses generated: 29814052
% 113.73/114.13 clauses kept: 39698
% 113.73/114.13 clauses selected: 7134
% 113.73/114.13 clauses deleted: 3860
% 113.73/114.13 clauses inuse deleted: 1652
% 113.73/114.13
% 113.73/114.13 subsentry: 1266453
% 113.73/114.13 literals s-matched: 1264717
% 113.73/114.13 literals matched: 1264630
% 113.73/114.13 full subsumption: 0
% 113.73/114.13
% 113.73/114.13 checksum: 620275125
% 113.73/114.13
% 113.73/114.13
% 113.73/114.13 Bliksem ended
%------------------------------------------------------------------------------