TSTP Solution File: GRP181-4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:53 EDT 2022
% Result : Unsatisfiable 2.01s 2.38s
% Output : Refutation 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 08:37:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.93/2.38 *** allocated 10000 integers for termspace/termends
% 1.93/2.38 *** allocated 10000 integers for clauses
% 1.93/2.38 *** allocated 10000 integers for justifications
% 1.93/2.38 Bliksem 1.12
% 1.93/2.38
% 1.93/2.38
% 1.93/2.38 Automatic Strategy Selection
% 1.93/2.38
% 1.93/2.38 Clauses:
% 1.93/2.38 [
% 1.93/2.38 [ =( multiply( identity, X ), X ) ],
% 1.93/2.38 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.93/2.38 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.93/2.38 ],
% 1.93/2.38 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 1.93/2.38 ,
% 1.93/2.38 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 1.93/2.38 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.93/2.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 1.93/2.38 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.93/2.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 1.93/2.38 [ =( 'least_upper_bound'( X, X ), X ) ],
% 1.93/2.38 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 1.93/2.38 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 1.93/2.38 ,
% 1.93/2.38 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 1.93/2.38 ,
% 1.93/2.38 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 2.01/2.38 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.01/2.38 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.01/2.38 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 2.01/2.38 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.01/2.38 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.01/2.38 [ =( inverse( identity ), identity ) ],
% 2.01/2.38 [ =( inverse( inverse( X ) ), X ) ],
% 2.01/2.38 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 2.01/2.38 ) ],
% 2.01/2.38 [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( b, c ) ) ]
% 2.01/2.38 ,
% 2.01/2.38 [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c ) ) ],
% 2.01/2.38 [ =( inverse( 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'(
% 2.01/2.38 inverse( X ), inverse( Y ) ) ) ],
% 2.01/2.38 [ =( inverse( 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'(
% 2.01/2.38 inverse( X ), inverse( Y ) ) ) ],
% 2.01/2.38 [ ~( =( a, b ) ) ]
% 2.01/2.38 ] .
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 percentage equality = 1.000000, percentage horn = 1.000000
% 2.01/2.38 This is a pure equality problem
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Options Used:
% 2.01/2.38
% 2.01/2.38 useres = 1
% 2.01/2.38 useparamod = 1
% 2.01/2.38 useeqrefl = 1
% 2.01/2.38 useeqfact = 1
% 2.01/2.38 usefactor = 1
% 2.01/2.38 usesimpsplitting = 0
% 2.01/2.38 usesimpdemod = 5
% 2.01/2.38 usesimpres = 3
% 2.01/2.38
% 2.01/2.38 resimpinuse = 1000
% 2.01/2.38 resimpclauses = 20000
% 2.01/2.38 substype = eqrewr
% 2.01/2.38 backwardsubs = 1
% 2.01/2.38 selectoldest = 5
% 2.01/2.38
% 2.01/2.38 litorderings [0] = split
% 2.01/2.38 litorderings [1] = extend the termordering, first sorting on arguments
% 2.01/2.38
% 2.01/2.38 termordering = kbo
% 2.01/2.38
% 2.01/2.38 litapriori = 0
% 2.01/2.38 termapriori = 1
% 2.01/2.38 litaposteriori = 0
% 2.01/2.38 termaposteriori = 0
% 2.01/2.38 demodaposteriori = 0
% 2.01/2.38 ordereqreflfact = 0
% 2.01/2.38
% 2.01/2.38 litselect = negord
% 2.01/2.38
% 2.01/2.38 maxweight = 15
% 2.01/2.38 maxdepth = 30000
% 2.01/2.38 maxlength = 115
% 2.01/2.38 maxnrvars = 195
% 2.01/2.38 excuselevel = 1
% 2.01/2.38 increasemaxweight = 1
% 2.01/2.38
% 2.01/2.38 maxselected = 10000000
% 2.01/2.38 maxnrclauses = 10000000
% 2.01/2.38
% 2.01/2.38 showgenerated = 0
% 2.01/2.38 showkept = 0
% 2.01/2.38 showselected = 0
% 2.01/2.38 showdeleted = 0
% 2.01/2.38 showresimp = 1
% 2.01/2.38 showstatus = 2000
% 2.01/2.38
% 2.01/2.38 prologoutput = 1
% 2.01/2.38 nrgoals = 5000000
% 2.01/2.38 totalproof = 1
% 2.01/2.38
% 2.01/2.38 Symbols occurring in the translation:
% 2.01/2.38
% 2.01/2.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.01/2.38 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 2.01/2.38 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 2.01/2.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.38 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.01/2.38 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.01/2.38 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.01/2.38 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.01/2.38 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.01/2.38 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.01/2.38 c [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.01/2.38 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Starting Search:
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 19107
% 2.01/2.38 Kept: 2016
% 2.01/2.38 Inuse: 219
% 2.01/2.38 Deleted: 26
% 2.01/2.38 Deletedinuse: 9
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 51496
% 2.01/2.38 Kept: 4036
% 2.01/2.38 Inuse: 364
% 2.01/2.38 Deleted: 46
% 2.01/2.38 Deletedinuse: 21
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 93586
% 2.01/2.38 Kept: 6070
% 2.01/2.38 Inuse: 523
% 2.01/2.38 Deleted: 68
% 2.01/2.38 Deletedinuse: 23
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 150803
% 2.01/2.38 Kept: 8073
% 2.01/2.38 Inuse: 665
% 2.01/2.38 Deleted: 75
% 2.01/2.38 Deletedinuse: 23
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 218060
% 2.01/2.38 Kept: 10078
% 2.01/2.38 Inuse: 791
% 2.01/2.38 Deleted: 111
% 2.01/2.38 Deletedinuse: 27
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Intermediate Status:
% 2.01/2.38 Generated: 286633
% 2.01/2.38 Kept: 12094
% 2.01/2.38 Inuse: 929
% 2.01/2.38 Deleted: 136
% 2.01/2.38 Deletedinuse: 27
% 2.01/2.38
% 2.01/2.38 Resimplifying inuse:
% 2.01/2.38 Done
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 Bliksems!, er is een bewijs:
% 2.01/2.38 % SZS status Unsatisfiable
% 2.01/2.38 % SZS output start Refutation
% 2.01/2.38
% 2.01/2.38 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.01/2.38 , Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.01/2.38 X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.01/2.38 ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.01/2.38 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.01/2.38 ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.01/2.38 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.38 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.01/2.38 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.38 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 2.01/2.38 , c ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 2.01/2.38 ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 2.01/2.38 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.38 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 22, [ ~( =( b, a ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 2.01/2.38 identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 26, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.01/2.38 identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 28, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b ) )
% 2.01/2.38 ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a ) )
% 2.01/2.38 ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 30, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( c
% 2.01/2.38 , b ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 2.01/2.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 35, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 2.01/2.38 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 37, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'( c
% 2.01/2.38 , a ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 41, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a ) ),
% 2.01/2.38 b ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 43, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 45, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 2.01/2.38 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ), b ),
% 2.01/2.38 b ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 48, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 49, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 54, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 63, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.01/2.38 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.01/2.38 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 69, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 2.01/2.38 'least_upper_bound'( Z, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 78, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.38 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.01/2.38 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 82, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.38 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 2.01/2.38 'least_upper_bound'( Y, Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 87, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.01/2.38 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 95, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.01/2.38 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 96, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 97, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 2.01/2.38 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 103, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 2.01/2.38 'least_upper_bound'( Z, X ), Y ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 105, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.38 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 108, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.01/2.38 'least_upper_bound'( identity, Y ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 2.01/2.38 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 119, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 2.01/2.38 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 120, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.38 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.01/2.38 )
% 2.01/2.38 .
% 2.01/2.38 clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.38 inverse( Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 146, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.01/2.38 Y ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 147, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 150, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.01/2.38 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 152, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 2.01/2.38 'least_upper_bound'( identity, Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 153, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 2.01/2.38 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 156, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.01/2.38 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 157, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.01/2.38 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.01/2.38 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 159, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.38 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.01/2.38 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 168, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 2.01/2.38 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 2.01/2.38 ), inverse( X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 179, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 2.01/2.38 'least_upper_bound'( Y, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.38 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 181, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 2.01/2.38 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.38 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 183, [ =( 'greatest_lower_bound'( inverse( X ), identity ), inverse(
% 2.01/2.38 'least_upper_bound'( X, identity ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 197, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.38 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 198, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 2.01/2.38 ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 267, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 309, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.01/2.38 ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 353, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( inverse(
% 2.01/2.38 Y ), Z ), inverse( X ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.38 'least_upper_bound'( X, Y ) ), Z ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 488, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.01/2.38 inverse( X ) ), Y ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.38 'least_upper_bound'( Y, Z ) ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 491, [ =( 'least_upper_bound'( inverse( Z ), 'greatest_lower_bound'(
% 2.01/2.38 X, inverse( Y ) ) ), inverse( 'greatest_lower_bound'( Z,
% 2.01/2.38 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 540, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( X,
% 2.01/2.38 inverse( Y ) ) ), inverse( 'least_upper_bound'( Z, multiply( Y, inverse(
% 2.01/2.38 X ) ) ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 541, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.38 inverse( Z ) ), inverse( 'least_upper_bound'( multiply( Y, inverse( X ) )
% 2.01/2.38 , Z ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 542, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 2.01/2.38 ) ), identity ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.38 identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.38 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.38 inverse( X ) ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 717, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.38 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 2.01/2.38 )
% 2.01/2.38 .
% 2.01/2.38 clause( 1300, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 2.01/2.38 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1408, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.01/2.38 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1411, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.01/2.38 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1449, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 2.01/2.38 'greatest_lower_bound'( Y, X ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1659, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 2.01/2.38 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1692, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 2.01/2.38 , Y ), inverse( X ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1727, [ =( 'greatest_lower_bound'( identity, multiply(
% 2.01/2.38 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1738, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( Y
% 2.01/2.38 , X ), inverse( X ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1762, [ =( 'least_upper_bound'( multiply( b, inverse(
% 2.01/2.38 'least_upper_bound'( c, a ) ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1766, [ =( 'least_upper_bound'( identity, multiply(
% 2.01/2.38 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1815, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 2.01/2.38 'least_upper_bound'( c, a ) ) ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1874, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 2.01/2.38 , Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 1905, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( c
% 2.01/2.38 , a ), inverse( b ) ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2208, [ =( multiply( X, inverse( 'least_upper_bound'( X, identity )
% 2.01/2.38 ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2213, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 2.01/2.38 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2214, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.01/2.38 'least_upper_bound'( X, identity ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2218, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.01/2.38 'least_upper_bound'( identity, X ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2229, [ =( multiply( 'least_upper_bound'( identity, X ), inverse( X
% 2.01/2.38 ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2254, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.01/2.38 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2272, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.01/2.38 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2292, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.01/2.38 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2307, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.01/2.38 'least_upper_bound'( c, a ) ) ) ), multiply( b, inverse(
% 2.01/2.38 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2351, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 2.01/2.38 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2378, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X
% 2.01/2.38 , identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2382, [ =( 'least_upper_bound'( inverse( X ),
% 2.01/2.38 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 2.01/2.38 identity, X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2705, [ =( multiply( 'least_upper_bound'( c, a ), inverse( b ) ),
% 2.01/2.38 'least_upper_bound'( multiply( c, inverse( b ) ), identity ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2789, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.01/2.38 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.01/2.38 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2793, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.01/2.38 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 2846, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 2.01/2.38 , multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ),
% 2.01/2.38 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3241, [ =( 'least_upper_bound'( Y, multiply( Y, X ) ), multiply( Y
% 2.01/2.38 , 'least_upper_bound'( X, identity ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3587, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.01/2.38 c ) ) ), multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3590, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.01/2.38 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3639, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 2.01/2.38 , identity ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3640, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 2.01/2.38 , inverse( X ) ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3663, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 2.01/2.38 ), X ), identity ), identity ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 3792, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 2.01/2.38 , identity ) ), X ), 'greatest_lower_bound'( X, inverse( X ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 6534, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.01/2.38 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 7327, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) ),
% 2.01/2.38 multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 12944, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.01/2.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 12972, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.01/2.38 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 12975, [ =( b, a ) ] )
% 2.01/2.38 .
% 2.01/2.38 clause( 12976, [] )
% 2.01/2.38 .
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 % SZS output end Refutation
% 2.01/2.38 found a proof!
% 2.01/2.38
% 2.01/2.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.01/2.38
% 2.01/2.38 initialclauses(
% 2.01/2.38 [ clause( 12978, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.38 , clause( 12979, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 , clause( 12980, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.01/2.38 multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 12981, [ =( 'greatest_lower_bound'( X, Y ),
% 2.01/2.38 'greatest_lower_bound'( Y, X ) ) ] )
% 2.01/2.38 , clause( 12982, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.01/2.38 X ) ) ] )
% 2.01/2.38 , clause( 12983, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.01/2.38 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.01/2.38 )
% 2.01/2.38 , clause( 12984, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.01/2.38 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12985, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 2.01/2.38 , clause( 12986, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.01/2.38 , clause( 12987, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.01/2.38 ) ), X ) ] )
% 2.01/2.38 , clause( 12988, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.38 ) ), X ) ] )
% 2.01/2.38 , clause( 12989, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.38 , clause( 12990, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.38 , clause( 12991, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 12992, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 12993, [ =( inverse( identity ), identity ) ] )
% 2.01/2.38 , clause( 12994, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.38 , clause( 12995, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.01/2.38 inverse( X ) ) ) ] )
% 2.01/2.38 , clause( 12996, [ =( 'greatest_lower_bound'( a, c ),
% 2.01/2.38 'greatest_lower_bound'( b, c ) ) ] )
% 2.01/2.38 , clause( 12997, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 2.01/2.38 c ) ) ] )
% 2.01/2.38 , clause( 12998, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.38 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.38 , clause( 12999, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.38 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.38 , clause( 13000, [ ~( =( a, b ) ) ] )
% 2.01/2.38 ] ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.38 , clause( 12978, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 , clause( 12979, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13006, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 2.01/2.38 , Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12980, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.01/2.38 multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.01/2.38 , Z ) ) ] )
% 2.01/2.38 , clause( 13006, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 2.01/2.38 X, Y ), Z ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.01/2.38 X ) ) ] )
% 2.01/2.38 , clause( 12981, [ =( 'greatest_lower_bound'( X, Y ),
% 2.01/2.38 'greatest_lower_bound'( Y, X ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.01/2.38 ] )
% 2.01/2.38 , clause( 12982, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.01/2.38 X ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.01/2.38 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12983, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.01/2.38 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.01/2.38 )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12984, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.01/2.38 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.01/2.38 , clause( 12986, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.01/2.38 ) ] )
% 2.01/2.38 , clause( 12987, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.01/2.38 ) ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 , clause( 12988, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.38 ) ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13055, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.38 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 12989, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.01/2.38 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 13055, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 2.01/2.38 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13066, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 2.01/2.38 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 12990, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.38 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 13066, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 2.01/2.38 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13078, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.38 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12991, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.01/2.38 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 13078, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 2.01/2.38 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13091, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 2.01/2.38 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 12992, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.01/2.38 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.38 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , clause( 13091, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 2.01/2.38 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.38 , clause( 12993, [ =( inverse( identity ), identity ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.38 , clause( 12994, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13136, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.38 multiply( X, Y ) ) ) ] )
% 2.01/2.38 , clause( 12995, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.01/2.38 inverse( X ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 , clause( 13136, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.38 multiply( X, Y ) ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13153, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 2.01/2.38 a, c ) ) ] )
% 2.01/2.38 , clause( 12996, [ =( 'greatest_lower_bound'( a, c ),
% 2.01/2.38 'greatest_lower_bound'( b, c ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 2.01/2.38 , c ) ) ] )
% 2.01/2.38 , clause( 13153, [ =( 'greatest_lower_bound'( b, c ),
% 2.01/2.38 'greatest_lower_bound'( a, c ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13171, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c
% 2.01/2.38 ) ) ] )
% 2.01/2.38 , clause( 12997, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 2.01/2.38 c ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 2.01/2.38 ] )
% 2.01/2.38 , clause( 13171, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a,
% 2.01/2.38 c ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13190, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , clause( 12998, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.38 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 2.01/2.38 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , clause( 13190, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.38 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13210, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.38 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , clause( 12999, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.38 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.38 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , clause( 13210, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) )
% 2.01/2.38 , inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13231, [ ~( =( b, a ) ) ] )
% 2.01/2.38 , clause( 13000, [ ~( =( a, b ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 22, [ ~( =( b, a ) ) ] )
% 2.01/2.38 , clause( 13231, [ ~( =( b, a ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13233, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.01/2.38 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13234, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.01/2.38 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.38 , 0, clause( 13233, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.38 X ) )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13235, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.38 , clause( 13234, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.38 , clause( 13235, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13237, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.01/2.38 Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.01/2.38 ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13240, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 2.01/2.38 , identity ) ) ] )
% 2.01/2.38 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.38 , 0, clause( 13237, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.01/2.38 multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.38 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 2.01/2.38 identity ) ) ] )
% 2.01/2.38 , clause( 13240, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 2.01/2.38 X, identity ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13245, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.01/2.38 Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.01/2.38 ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13250, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.01/2.38 , identity ) ) ] )
% 2.01/2.38 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.38 , 0, clause( 13245, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.01/2.38 multiply( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.38 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 26, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.01/2.38 identity ) ) ] )
% 2.01/2.38 , clause( 13250, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.01/2.38 X, identity ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13254, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c
% 2.01/2.38 ) ) ] )
% 2.01/2.38 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13256, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b
% 2.01/2.38 ) ) ] )
% 2.01/2.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13254, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'(
% 2.01/2.38 b, c ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 28, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b ) )
% 2.01/2.38 ] )
% 2.01/2.38 , clause( 13256, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c,
% 2.01/2.38 b ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13263, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( a, c
% 2.01/2.38 ) ) ] )
% 2.01/2.38 , clause( 28, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13265, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a
% 2.01/2.38 ) ) ] )
% 2.01/2.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13263, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'(
% 2.01/2.38 a, c ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a ) )
% 2.01/2.38 ] )
% 2.01/2.38 , clause( 13265, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c,
% 2.01/2.38 a ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13272, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 2.01/2.38 b, c ) ) ] )
% 2.01/2.38 , clause( 18, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 2.01/2.38 a, c ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13274, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 2.01/2.38 c, b ) ) ] )
% 2.01/2.38 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , 0, clause( 13272, [ =( 'greatest_lower_bound'( a, c ),
% 2.01/2.38 'greatest_lower_bound'( b, c ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 30, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( c
% 2.01/2.38 , b ) ) ] )
% 2.01/2.38 , clause( 13274, [ =( 'greatest_lower_bound'( a, c ),
% 2.01/2.38 'greatest_lower_bound'( c, b ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13281, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.01/2.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13284, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , 0, clause( 13281, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 2.01/2.38 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 2.01/2.38 ] )
% 2.01/2.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z
% 2.01/2.38 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z
% 2.01/2.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 , clause( 13284, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 2.01/2.38 ), Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ]
% 2.01/2.38 )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13299, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.01/2.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , clause( 8, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.01/2.38 , 0, clause( 13299, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 2.01/2.38 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 2.01/2.38 ] )
% 2.01/2.38 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.38 :=( Y, Y ), :=( Z, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 35, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), X
% 2.01/2.38 ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.01/2.38 , clause( 13305, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 2.01/2.38 ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13310, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 2.01/2.38 a, c ) ) ] )
% 2.01/2.38 , clause( 30, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 2.01/2.38 c, b ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13312, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 2.01/2.38 c, a ) ) ] )
% 2.01/2.38 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , 0, clause( 13310, [ =( 'greatest_lower_bound'( c, b ),
% 2.01/2.38 'greatest_lower_bound'( a, c ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 37, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'( c
% 2.01/2.38 , a ) ) ] )
% 2.01/2.38 , clause( 13312, [ =( 'greatest_lower_bound'( c, b ),
% 2.01/2.38 'greatest_lower_bound'( c, a ) ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13320, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13323, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'( a, c
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13320, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13324, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'( c, b
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 28, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13323, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'(
% 2.01/2.38 a, c ) ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13325, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'( c, a
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13324, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'(
% 2.01/2.38 c, b ) ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13326, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a )
% 2.01/2.38 ), b ) ] )
% 2.01/2.38 , clause( 13325, [ =( b, 'greatest_lower_bound'( b, 'least_upper_bound'( c
% 2.01/2.38 , a ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 41, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a ) ),
% 2.01/2.38 b ) ] )
% 2.01/2.38 , clause( 13326, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a
% 2.01/2.38 ) ), b ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13327, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13328, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , 0, clause( 13327, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 2.01/2.38 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13331, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 2.01/2.38 ), X ) ] )
% 2.01/2.38 , clause( 13328, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 2.01/2.38 ), X ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 , clause( 13331, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.01/2.38 X ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13333, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.38 :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13336, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 2.01/2.38 ), X ) ] )
% 2.01/2.38 , clause( 13333, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.01/2.38 , X ) ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 43, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 , clause( 13336, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.01/2.38 ) ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13338, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.01/2.38 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13343, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 2.01/2.38 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, clause( 13338, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 2.01/2.38 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 2.01/2.38 ] )
% 2.01/2.38 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.38 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 45, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 2.01/2.38 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 2.01/2.38 , clause( 13343, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 2.01/2.38 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13348, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13351, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( a, c )
% 2.01/2.38 , b ) ) ] )
% 2.01/2.38 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13348, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.01/2.38 , Y ), X ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13352, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( c, b )
% 2.01/2.38 , b ) ) ] )
% 2.01/2.38 , clause( 28, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( c, b )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13351, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( a
% 2.01/2.38 , c ), b ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13353, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( c, a )
% 2.01/2.38 , b ) ) ] )
% 2.01/2.38 , clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13352, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( c
% 2.01/2.38 , b ), b ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13354, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ), b
% 2.01/2.38 ), b ) ] )
% 2.01/2.38 , clause( 13353, [ =( b, 'greatest_lower_bound'( 'least_upper_bound'( c, a
% 2.01/2.38 ), b ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ), b ),
% 2.01/2.38 b ) ] )
% 2.01/2.38 , clause( 13354, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ),
% 2.01/2.38 b ), b ) ] )
% 2.01/2.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13355, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13356, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13355, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.01/2.38 , Y ), X ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.38 :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13359, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 2.01/2.38 ), X ) ] )
% 2.01/2.38 , clause( 13356, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X
% 2.01/2.38 ), X ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 48, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 2.01/2.38 X ) ] )
% 2.01/2.38 , clause( 13359, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 2.01/2.38 X ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13361, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.01/2.38 , X ) ) ] )
% 2.01/2.38 , clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13362, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 2.01/2.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , 0, clause( 13361, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.01/2.38 , Y ), X ) ) ] )
% 2.01/2.38 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 2.01/2.38 ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13363, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 2.01/2.38 , clause( 13362, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 49, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 2.01/2.38 , clause( 13363, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13364, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13367, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.38 ) ] )
% 2.01/2.38 , 0, clause( 13364, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.01/2.38 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.38 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 2.01/2.38 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 54, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.38 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 , clause( 13367, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z )
% 2.01/2.38 , 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13382, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 43, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13385, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.01/2.38 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 2.01/2.38 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, clause( 13382, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.38 Y, X ) ) ) ] )
% 2.01/2.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.38 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13386, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.38 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , clause( 13385, [ =( 'greatest_lower_bound'( X, Y ),
% 2.01/2.38 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 63, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.01/2.38 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , clause( 13386, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 2.01/2.38 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.01/2.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.38 )] ) ).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13388, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.01/2.38 ) ) ) ] )
% 2.01/2.38 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 paramod(
% 2.01/2.38 clause( 13391, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.01/2.38 , clause( 42, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.38 , X ) ] )
% 2.01/2.38 , 0, clause( 13388, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.01/2.38 X, Y ) ) ) ] )
% 2.01/2.38 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.38 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 eqswap(
% 2.01/2.38 clause( 13392, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.01/2.38 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.38 , clause( 13391, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.01/2.38 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.01/2.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.38
% 2.01/2.38
% 2.01/2.38 subsumption(
% 2.01/2.38 clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.01/2.39 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , clause( 13392, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 2.01/2.39 , 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13393, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13394, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.39 , X ) ) ] )
% 2.01/2.39 , 0, clause( 13393, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.01/2.39 X, Y ) ) ) ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 2.01/2.39 ), X ) ] )
% 2.01/2.39 , clause( 13394, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 2.01/2.39 , X ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 69, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 2.01/2.39 X ) ] )
% 2.01/2.39 , clause( 13397, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.01/2.39 ) ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13398, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13399, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.39 , X ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13398, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.01/2.39 X, Y ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 2.01/2.39 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13402, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.01/2.39 ), X ) ] )
% 2.01/2.39 , clause( 13399, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y
% 2.01/2.39 ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 2.01/2.39 X ) ] )
% 2.01/2.39 , clause( 13402, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.01/2.39 X ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13403, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , clause( 69, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13404, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 2.01/2.39 , X ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13403, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.01/2.39 Y, X ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 2.01/2.39 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13407, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 2.01/2.39 ), X ) ] )
% 2.01/2.39 , clause( 13404, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 2.01/2.39 ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 2.01/2.39 X ) ] )
% 2.01/2.39 , clause( 13407, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 2.01/2.39 X ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13408, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13410, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13408, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13412, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 2.01/2.39 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, clause( 13410, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 2.01/2.39 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 2.01/2.39 'least_upper_bound'( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 13412, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 2.01/2.39 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13414, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13415, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13414, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 78, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 13415, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) )
% 2.01/2.39 , 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13420, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13422, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.39 , 0, clause( 13420, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.39 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13425, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.01/2.39 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 13422, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 2.01/2.39 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.01/2.39 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 13425, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 2.01/2.39 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13427, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 2.01/2.39 , Y ) ) ] )
% 2.01/2.39 , clause( 73, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13429, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.01/2.39 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 2.01/2.39 ) ), X ), Y ) ) ] )
% 2.01/2.39 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13427, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X
% 2.01/2.39 , Y ), Y ) ) ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( Z,
% 2.01/2.39 'least_upper_bound'( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 2.01/2.39 ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13430, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 2.01/2.39 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , clause( 13429, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.01/2.39 'least_upper_bound'( 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y
% 2.01/2.39 ) ), X ), Y ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 82, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 2.01/2.39 'least_upper_bound'( Y, Z ) ) ] )
% 2.01/2.39 , clause( 13430, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( Z, 'least_upper_bound'( X, Y ) ), X ), Y ),
% 2.01/2.39 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13432, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.39 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13437, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 2.01/2.39 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , clause( 70, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, clause( 13432, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.01/2.39 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 87, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.01/2.39 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 2.01/2.39 , clause( 13437, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 2.01/2.39 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13442, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.01/2.39 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13443, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y )
% 2.01/2.39 ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13442, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 95, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 13443, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y
% 2.01/2.39 ) ), 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13448, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.01/2.39 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13450, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 2.01/2.39 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13448, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 96, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.01/2.39 , clause( 13450, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X )
% 2.01/2.39 ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13454, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.01/2.39 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13456, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 2.01/2.39 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.39 , 0, clause( 13454, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.39 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13459, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.01/2.39 ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 13456, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y
% 2.01/2.39 ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 97, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X ),
% 2.01/2.39 Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 13459, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.01/2.39 X ), Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13461, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.39 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13463, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13461, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13465, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 2.01/2.39 'least_upper_bound'( Y, X ), Z ) ) ] )
% 2.01/2.39 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.39 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13463, [ =( multiply( 'least_upper_bound'( Y, X ), Z ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 2.01/2.39 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 103, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 2.01/2.39 'least_upper_bound'( Z, X ), Y ) ) ] )
% 2.01/2.39 , clause( 13465, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), multiply(
% 2.01/2.39 'least_upper_bound'( Y, X ), Z ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13467, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.39 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13470, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13467, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13473, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 13470, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) )
% 2.01/2.39 , 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 105, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.39 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 13473, [ =( 'least_upper_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 identity ), multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13475, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.01/2.39 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13476, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 2.01/2.39 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.39 , 0, clause( 13475, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 2.01/2.39 identity ), :=( Y, Y ), :=( Z, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13478, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.01/2.39 'least_upper_bound'( identity, X ), Y ) ) ] )
% 2.01/2.39 , clause( 13476, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 2.01/2.39 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 108, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.01/2.39 'least_upper_bound'( identity, Y ), X ) ) ] )
% 2.01/2.39 , clause( 13478, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.01/2.39 'least_upper_bound'( identity, X ), Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13480, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.01/2.39 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13482, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.39 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.39 , X ) ) ] )
% 2.01/2.39 , 0, clause( 13480, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13484, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 2.01/2.39 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 2.01/2.39 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.01/2.39 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13482, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 2.01/2.39 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 2.01/2.39 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 2.01/2.39 , clause( 13484, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.01/2.39 multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13486, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.01/2.39 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13488, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 2.01/2.39 ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13486, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13491, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 2.01/2.39 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 13488, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( X
% 2.01/2.39 ) ), 'greatest_lower_bound'( identity, multiply( Y, inverse( X ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 119, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse( X
% 2.01/2.39 ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 13491, [ =( 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.39 inverse( X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X )
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13494, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.01/2.39 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13497, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 2.01/2.39 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.01/2.39 , 0, clause( 13494, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.01/2.39 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13500, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 13497, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y
% 2.01/2.39 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 120, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.39 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 13500, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13502, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13503, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13502, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.01/2.39 ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.39 Y ) ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 13503, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13508, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13510, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.01/2.39 inverse( Y ), X ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13508, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.01/2.39 ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.01/2.39 :=( Y, inverse( X ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 146, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.01/2.39 Y ), X ) ) ] )
% 2.01/2.39 , clause( 13510, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.01/2.39 inverse( Y ), X ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13514, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13516, [ =( inverse( multiply( X, identity ) ), multiply( identity
% 2.01/2.39 , inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.39 , 0, clause( 13514, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.01/2.39 ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.01/2.39 , X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13520, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.01/2.39 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.01/2.39 , 0, clause( 13516, [ =( inverse( multiply( X, identity ) ), multiply(
% 2.01/2.39 identity, inverse( X ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.01/2.39 :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 147, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.01/2.39 , clause( 13520, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13523, [ =( X, inverse( inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13526, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 147, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.01/2.39 , 0, clause( 13523, [ =( X, inverse( inverse( X ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.01/2.39 multiply( X, identity ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13527, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13526, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 2.01/2.39 ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.01/2.39 ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , clause( 13527, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13530, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.01/2.39 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13531, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 13530, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.01/2.39 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, identity ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13533, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.01/2.39 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , clause( 13531, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 2.01/2.39 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 150, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.01/2.39 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , clause( 13533, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 2.01/2.39 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13536, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13537, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 2.01/2.39 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 13536, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, identity ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13539, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.01/2.39 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , clause( 13537, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 2.01/2.39 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 152, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 2.01/2.39 'least_upper_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , clause( 13539, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 2.01/2.39 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13542, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.01/2.39 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13544, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 13542, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.01/2.39 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, Y ), :=( Z, identity )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13546, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 2.01/2.39 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.01/2.39 , clause( 13544, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.01/2.39 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 153, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 2.01/2.39 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.01/2.39 , clause( 13546, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 2.01/2.39 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13547, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13549, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13547, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )
% 2.01/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13551, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13549, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 156, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , clause( 13551, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13553, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13554, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13553, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.39 X ) ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 157, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 13554, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 2.01/2.39 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13559, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13561, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13559, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.01/2.39 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.01/2.39 , clause( 13561, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) )
% 2.01/2.39 , 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13565, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13566, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.01/2.39 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.39 , 0, clause( 13565, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.01/2.39 , X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13568, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , clause( 13566, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.01/2.39 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 159, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , clause( 13568, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13571, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13573, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.39 , 0, clause( 13571, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.01/2.39 identity )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13575, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , clause( 13573, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , clause( 13575, [ =( 'least_upper_bound'( inverse( X ), identity ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13577, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.39 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13579, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 2.01/2.39 , inverse( Y ) ), 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 2.01/2.39 identity, Y ) ) ) ) ] )
% 2.01/2.39 , clause( 159, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , 0, clause( 13577, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.01/2.39 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, identity ), :=( Z, inverse( Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13581, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 2.01/2.39 identity, Y ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, identity
% 2.01/2.39 ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 13579, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 2.01/2.39 ), inverse( Y ) ), 'least_upper_bound'( X, inverse(
% 2.01/2.39 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 168, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 2.01/2.39 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 2.01/2.39 ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 13581, [ =( 'least_upper_bound'( X, inverse(
% 2.01/2.39 'greatest_lower_bound'( identity, Y ) ) ), 'least_upper_bound'(
% 2.01/2.39 'least_upper_bound'( X, identity ), inverse( Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13582, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13584, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.01/2.39 , X ) ) ] )
% 2.01/2.39 , 0, clause( 13582, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )
% 2.01/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13586, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 2.01/2.39 'least_upper_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13584, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 179, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 2.01/2.39 'least_upper_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , clause( 13586, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 2.01/2.39 'least_upper_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13588, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13589, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13588, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.01/2.39 X ) ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 13589, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13594, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13596, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 2.01/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.01/2.39 , 0, clause( 13594, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, inverse( Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 181, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 2.01/2.39 , clause( 13596, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13600, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13601, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 2.01/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.39 , 0, clause( 13600, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.01/2.39 , X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13603, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , clause( 13601, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 2.01/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ), inverse(
% 2.01/2.39 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , clause( 13603, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13606, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13608, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.01/2.39 , 0, clause( 13606, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.01/2.39 identity )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13610, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , clause( 13608, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 183, [ =( 'greatest_lower_bound'( inverse( X ), identity ), inverse(
% 2.01/2.39 'least_upper_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , clause( 13610, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13613, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 2.01/2.39 Y, identity ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.01/2.39 :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.01/2.39 , clause( 13613, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13615, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13616, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y, Z
% 2.01/2.39 ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.01/2.39 , clause( 156, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.01/2.39 , 0, clause( 13615, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13619, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z ) )
% 2.01/2.39 , inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 2.01/2.39 , clause( 13616, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y,
% 2.01/2.39 Z ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 197, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.01/2.39 , clause( 13619, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z )
% 2.01/2.39 ), inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 195, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13626, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 2.01/2.39 inverse( inverse( Y ) ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13621, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13628, [ =( inverse( X ), inverse( multiply( inverse( Y ), multiply(
% 2.01/2.39 Y, X ) ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13626, [ =( inverse( X ), multiply( inverse( multiply( Y, X )
% 2.01/2.39 ), inverse( inverse( Y ) ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 2.01/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13629, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , clause( 146, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.01/2.39 inverse( Y ), X ) ) ] )
% 2.01/2.39 , 0, clause( 13628, [ =( inverse( X ), inverse( multiply( inverse( Y ),
% 2.01/2.39 multiply( Y, X ) ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) )] ),
% 2.01/2.39 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13630, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , clause( 13629, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 2.01/2.39 Y ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 198, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , clause( 13630, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 2.01/2.39 X ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13633, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 26, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 2.01/2.39 Y, identity ) ) ] )
% 2.01/2.39 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.01/2.39 :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 267, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.01/2.39 , clause( 13633, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13635, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , clause( 198, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13640, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.01/2.39 inverse( multiply( X, Y ) ) ) ) ] )
% 2.01/2.39 , clause( 198, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , 0, clause( 13635, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.01/2.39 ), X ) ) ] )
% 2.01/2.39 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13641, [ =( inverse( X ), inverse( multiply( multiply( X, Y ),
% 2.01/2.39 inverse( Y ) ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13640, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.01/2.39 inverse( multiply( X, Y ) ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )
% 2.01/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13642, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13641, [ =( inverse( X ), inverse( multiply( multiply( X, Y )
% 2.01/2.39 , inverse( Y ) ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 2.01/2.39 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13643, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.01/2.39 ) ) ] )
% 2.01/2.39 , clause( 13642, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 309, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , clause( 13643, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 2.01/2.39 X ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13645, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z )
% 2.01/2.39 , X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , clause( 32, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 2.01/2.39 Z ), 'greatest_lower_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13647, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( inverse(
% 2.01/2.39 X ), Y ), inverse( Z ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13645, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y
% 2.01/2.39 , Z ), X ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) )
% 2.01/2.39 ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, inverse( Z ) ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 353, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( inverse(
% 2.01/2.39 Y ), Z ), inverse( X ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( X, Y ) ), Z ) ) ] )
% 2.01/2.39 , clause( 13647, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 2.01/2.39 inverse( X ), Y ), inverse( Z ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13651, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 21, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13658, [ =( inverse( 'least_upper_bound'( X, 'least_upper_bound'(
% 2.01/2.39 inverse( Y ), Z ) ) ), 'greatest_lower_bound'( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, inverse( Z ) ) ) ) ] )
% 2.01/2.39 , clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13651, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( Y ), Z ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13659, [ =( inverse( 'least_upper_bound'( X, 'least_upper_bound'(
% 2.01/2.39 inverse( Y ), Z ) ) ), 'greatest_lower_bound'( 'greatest_lower_bound'(
% 2.01/2.39 inverse( X ), Y ), inverse( Z ) ) ) ] )
% 2.01/2.39 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.01/2.39 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13658, [ =( inverse( 'least_upper_bound'( X,
% 2.01/2.39 'least_upper_bound'( inverse( Y ), Z ) ) ), 'greatest_lower_bound'(
% 2.01/2.39 inverse( X ), 'greatest_lower_bound'( Y, inverse( Z ) ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z,
% 2.01/2.39 inverse( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 2.01/2.39 ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13660, [ =( inverse( 'least_upper_bound'( X, 'least_upper_bound'(
% 2.01/2.39 inverse( Y ), Z ) ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , clause( 353, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( inverse(
% 2.01/2.39 Y ), Z ), inverse( X ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( X, Y ) ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13659, [ =( inverse( 'least_upper_bound'( X,
% 2.01/2.39 'least_upper_bound'( inverse( Y ), Z ) ) ), 'greatest_lower_bound'(
% 2.01/2.39 'greatest_lower_bound'( inverse( X ), Y ), inverse( Z ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13661, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'( X,
% 2.01/2.39 inverse( Y ) ), Z ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, clause( 13660, [ =( inverse( 'least_upper_bound'( X,
% 2.01/2.39 'least_upper_bound'( inverse( Y ), Z ) ) ), 'greatest_lower_bound'(
% 2.01/2.39 inverse( 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Z )] )
% 2.01/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 488, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.01/2.39 inverse( X ) ), Y ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Y, Z ) ), X ) ) ] )
% 2.01/2.39 , clause( 13661, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'( X
% 2.01/2.39 , inverse( Y ) ), Z ) ), 'greatest_lower_bound'( inverse(
% 2.01/2.39 'least_upper_bound'( Z, X ) ), Y ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13664, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13668, [ =( inverse( 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.39 inverse( Y ), Z ) ) ), 'least_upper_bound'( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, inverse( Z ) ) ) ) ] )
% 2.01/2.39 , clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13664, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, 'least_upper_bound'( inverse( Y ), Z ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13670, [ =( 'least_upper_bound'( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, inverse( Z ) ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( Y ), Z ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 13668, [ =( inverse( 'greatest_lower_bound'( X,
% 2.01/2.39 'least_upper_bound'( inverse( Y ), Z ) ) ), 'least_upper_bound'( inverse(
% 2.01/2.39 X ), 'greatest_lower_bound'( Y, inverse( Z ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 491, [ =( 'least_upper_bound'( inverse( Z ), 'greatest_lower_bound'(
% 2.01/2.39 X, inverse( Y ) ) ), inverse( 'greatest_lower_bound'( Z,
% 2.01/2.39 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 2.01/2.39 , clause( 13670, [ =( 'least_upper_bound'( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, inverse( Z ) ) ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( Y ), Z ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13672, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 2.01/2.39 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.01/2.39 , clause( 181, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 2.01/2.39 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13678, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 2.01/2.39 inverse( Z ) ) ), inverse( 'least_upper_bound'( X, multiply( Z, inverse(
% 2.01/2.39 Y ) ) ) ) ) ] )
% 2.01/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13672, [ =( 'greatest_lower_bound'( inverse( X ), Y ), inverse(
% 2.01/2.39 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.01/2.39 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, multiply( Y, inverse( Z ) ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 540, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ), inverse( 'least_upper_bound'( Z, multiply( Y, inverse(
% 2.01/2.39 X ) ) ) ) ) ] )
% 2.01/2.39 , clause( 13678, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Y,
% 2.01/2.39 inverse( Z ) ) ), inverse( 'least_upper_bound'( X, multiply( Z, inverse(
% 2.01/2.39 Y ) ) ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13682, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 2.01/2.39 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13688, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 inverse( Z ) ), inverse( 'least_upper_bound'( multiply( Y, inverse( X ) )
% 2.01/2.39 , Z ) ) ) ] )
% 2.01/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13682, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 2.01/2.39 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, multiply( X, inverse( Y ) ) ), :=( Y, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 541, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 inverse( Z ) ), inverse( 'least_upper_bound'( multiply( Y, inverse( X ) )
% 2.01/2.39 , Z ) ) ) ] )
% 2.01/2.39 , clause( 13688, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.01/2.39 inverse( Z ) ), inverse( 'least_upper_bound'( multiply( Y, inverse( X ) )
% 2.01/2.39 , Z ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13692, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13693, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 2.01/2.39 Y ) ), identity ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.39 identity ) ) ] )
% 2.01/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13692, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.01/2.39 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, multiply( X, inverse( Y ) ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 542, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse( Y
% 2.01/2.39 ) ), identity ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.39 identity ) ) ] )
% 2.01/2.39 , clause( 13693, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 2.01/2.39 Y ) ), identity ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.01/2.39 identity ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13696, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 2.01/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13697, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ) ] )
% 2.01/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13696, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 2.01/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 2.01/2.39 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, multiply( X, inverse( Y ) ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ) ] )
% 2.01/2.39 , clause( 13697, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13700, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , clause( 54, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.01/2.39 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13716, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y, Z ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 69, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, clause( 13700, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 2.01/2.39 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.01/2.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.01/2.39 :=( X, Y ), :=( Y, 'greatest_lower_bound'( X, Y ) ), :=( Z, Z )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 717, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 13716, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.01/2.39 'greatest_lower_bound'( X, Y ), Z ), Y ), 'least_upper_bound'( Y, Z ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 2.01/2.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13722, [ =( 'least_upper_bound'( identity, multiply( X, Y ) ),
% 2.01/2.39 multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , clause( 78, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 2.01/2.39 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13724, [ =( 'least_upper_bound'( identity, multiply( X, identity )
% 2.01/2.39 ), multiply( X, inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.01/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.01/2.39 , 0, clause( 13722, [ =( 'least_upper_bound'( identity, multiply( X, Y ) )
% 2.01/2.39 , multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, identity )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13725, [ =( 'least_upper_bound'( identity, X ), multiply( X,
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 2.01/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.01/2.39 , 0, clause( 13724, [ =( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.39 identity ) ), multiply( X, inverse( 'greatest_lower_bound'( X, identity )
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.01/2.39 ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13726, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 2.01/2.39 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.39 , clause( 13725, [ =( 'least_upper_bound'( identity, X ), multiply( X,
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 1300, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 2.01/2.39 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.39 , clause( 13726, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 2.01/2.39 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13728, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.01/2.39 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 2.01/2.39 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13730, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 2.01/2.39 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , clause( 69, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, clause( 13728, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 2.01/2.39 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13731, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.01/2.39 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.01/2.39 , 0, clause( 13730, [ =( multiply( inverse( X ), X ), 'least_upper_bound'(
% 2.01/2.39 identity, multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13732, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.01/2.39 , clause( 13731, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 1408, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.01/2.39 , clause( 13732, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 2.01/2.39 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13734, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.01/2.39 ) ) ) ] )
% 2.01/2.39 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.01/2.39 , X ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13735, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.01/2.39 , clause( 80, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 2.01/2.39 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13734, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.01/2.39 X, Y ) ) ) ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13736, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.01/2.39 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.01/2.39 , clause( 13735, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 1411, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.01/2.39 , 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.01/2.39 , clause( 13736, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.01/2.39 X ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13737, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.01/2.39 , clause( 1408, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 2.01/2.39 , 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13738, [ =( identity, 'least_upper_bound'( multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 2.01/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.01/2.39 ) ] )
% 2.01/2.39 , 0, clause( 13737, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( X )
% 2.01/2.39 , 'greatest_lower_bound'( Y, X ) ) )] ), substitution( 1, [ :=( X, X ),
% 2.01/2.39 :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13741, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ), identity ), identity ) ] )
% 2.01/2.39 , clause( 13738, [ =( identity, 'least_upper_bound'( multiply( inverse( X )
% 2.01/2.39 , 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 subsumption(
% 2.01/2.39 clause( 1449, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ), identity ), identity ) ] )
% 2.01/2.39 , clause( 13741, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 2.01/2.39 'greatest_lower_bound'( Y, X ) ), identity ), identity ) ] )
% 2.01/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.01/2.39 )] ) ).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 eqswap(
% 2.01/2.39 clause( 13743, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.01/2.39 inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.01/2.39 , clause( 1411, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.01/2.39 ), 'least_upper_bound'( X, Y ) ) ), identity ) ] )
% 2.01/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13748, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.01/2.39 inverse( inverse( X ) ), inverse( 'greatest_lower_bound'( X, Y ) ) ) ) )
% 2.01/2.39 ] )
% 2.01/2.39 , clause( 20, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.01/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13743, [ =( identity, 'greatest_lower_bound'( identity,
% 2.01/2.39 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.01/2.39 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.01/2.39 :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13749, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 2.01/2.39 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 2.01/2.39 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.01/2.39 multiply( X, Y ) ) ) ] )
% 2.01/2.39 , 0, clause( 13748, [ =( identity, 'greatest_lower_bound'( identity,
% 2.01/2.39 multiply( inverse( inverse( X ) ), inverse( 'greatest_lower_bound'( X, Y
% 2.01/2.39 ) ) ) ) ) ] )
% 2.01/2.39 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 2.01/2.39 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13750, [ =( identity, inverse( 'least_upper_bound'( identity,
% 2.01/2.39 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 2.01/2.39 , clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.01/2.39 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.01/2.39 , 0, clause( 13749, [ =( identity, 'greatest_lower_bound'( identity,
% 2.01/2.39 inverse( multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ]
% 2.01/2.39 )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, multiply( 'greatest_lower_bound'( X, Y )
% 2.01/2.39 , inverse( X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.01/2.39
% 2.01/2.39
% 2.01/2.39 paramod(
% 2.01/2.39 clause( 13751, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 2.01/2.39 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 2.01/2.39 , clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.01/2.39 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.01/2.39 inverse( X ) ) ) ) ] )
% 2.01/2.39 , 0, clause( 13750, [ =( identity, inverse( 'least_upper_bound'( identity,
% 2.01/2.39 multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ) ) ] )
% 2.01/2.39 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y,
% 2.04/2.39 X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13752, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13751, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1659, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13752, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13754, [ =( identity, 'least_upper_bound'( multiply( inverse( X ),
% 2.04/2.39 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1449, [ =( 'least_upper_bound'( multiply( inverse( X ),
% 2.04/2.39 'greatest_lower_bound'( Y, X ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13758, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 2.04/2.39 multiply( X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ),
% 2.04/2.39 identity ) ) ] )
% 2.04/2.39 , clause( 1659, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.04/2.39 , 0, clause( 13754, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 2.04/2.39 X ), 'greatest_lower_bound'( Y, X ) ), identity ) ) ] )
% 2.04/2.39 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.04/2.39 :=( X, multiply( X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ), :=( Y
% 2.04/2.39 , identity )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13759, [ =( identity, 'least_upper_bound'( inverse( multiply( X,
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13758, [ =( identity, 'least_upper_bound'( multiply( inverse(
% 2.04/2.39 multiply( X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ),
% 2.04/2.39 identity ) ) ] )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, inverse( multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) ) )] ), substitution( 1, [ :=( X, X )
% 2.04/2.39 , :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13760, [ =( identity, inverse( 'greatest_lower_bound'( multiply( X
% 2.04/2.39 , inverse( 'greatest_lower_bound'( X, Y ) ) ), identity ) ) ) ] )
% 2.04/2.39 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, clause( 13759, [ =( identity, 'least_upper_bound'( inverse( multiply(
% 2.04/2.39 X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [ :=( X, multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.39 :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13761, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , clause( 542, [ =( inverse( 'greatest_lower_bound'( multiply( X, inverse(
% 2.04/2.39 Y ) ), identity ) ), 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.39 identity ) ) ] )
% 2.04/2.39 , 0, clause( 13760, [ =( identity, inverse( 'greatest_lower_bound'(
% 2.04/2.39 multiply( X, inverse( 'greatest_lower_bound'( X, Y ) ) ), identity ) ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 2.04/2.39 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13762, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13761, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1692, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( X
% 2.04/2.39 , Y ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13762, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13764, [ =( identity, 'greatest_lower_bound'( identity, multiply( X
% 2.04/2.39 , inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 2.04/2.39 , clause( 1659, [ =( 'greatest_lower_bound'( identity, multiply( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13765, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , clause( 48, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 2.04/2.39 , X ) ] )
% 2.04/2.39 , 0, clause( 13764, [ =( identity, 'greatest_lower_bound'( identity,
% 2.04/2.39 multiply( X, inverse( 'greatest_lower_bound'( X, Y ) ) ) ) ) ] )
% 2.04/2.39 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.39 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13766, [ =( 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13765, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1727, [ =( 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13766, [ =( 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13767, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1692, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13768, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( Y, X ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 2.04/2.39 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 2.04/2.39 , 0, clause( 13767, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )
% 2.04/2.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13771, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13768, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( Y, X ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1738, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'( Y
% 2.04/2.39 , X ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13771, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13773, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1692, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13774, [ =( identity, 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ), identity ) ) ] )
% 2.04/2.39 , clause( 47, [ =( 'greatest_lower_bound'( 'least_upper_bound'( c, a ), b )
% 2.04/2.39 , b ) ] )
% 2.04/2.39 , 0, clause( 13773, [ =( identity, 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( X ) ), identity ) ) ] )
% 2.04/2.39 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X,
% 2.04/2.39 'least_upper_bound'( c, a ) ), :=( Y, b )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13775, [ =( 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13774, [ =( identity, 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ), identity ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1762, [ =( 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13775, [ =( 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ), identity ), identity ) ] )
% 2.04/2.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13777, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 2.04/2.39 ) ), Y ), Z ) ) ] )
% 2.04/2.39 , clause( 82, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ), Z ),
% 2.04/2.39 'least_upper_bound'( Y, Z ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13780, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( 'greatest_lower_bound'( Z, identity ), multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1738, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 Y, X ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, clause( 13777, [ =( 'least_upper_bound'( Y, Z ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 2.04/2.39 ) ), Y ), Z ) ) ] )
% 2.04/2.39 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.39 :=( X, Z ), :=( Y, multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 2.04/2.39 ) ), :=( Z, identity )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13781, [ =( identity, 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.39 'greatest_lower_bound'( Z, identity ), multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1738, [ =( 'least_upper_bound'( multiply( 'greatest_lower_bound'(
% 2.04/2.39 Y, X ), inverse( X ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, clause( 13780, [ =( 'least_upper_bound'( multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ), identity ),
% 2.04/2.39 'least_upper_bound'( 'least_upper_bound'( 'greatest_lower_bound'( Z,
% 2.04/2.39 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ),
% 2.04/2.39 identity ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.39 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13784, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( Y, Z ), inverse( Z ) ) ) ) ] )
% 2.04/2.39 , clause( 717, [ =( 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.39 'greatest_lower_bound'( Y, X ), Z ), X ), 'least_upper_bound'( X, Z ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, clause( 13781, [ =( identity, 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.39 'greatest_lower_bound'( Z, identity ), multiply( 'greatest_lower_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ) ), identity ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 2.04/2.39 'greatest_lower_bound'( Y, Z ), inverse( Z ) ) )] ), substitution( 1, [
% 2.04/2.39 :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13785, [ =( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13784, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( Y, Z ), inverse( Z ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1766, [ =( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13785, [ =( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13787, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , clause( 1766, [ =( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13788, [ =( identity, 'least_upper_bound'( identity, multiply( b,
% 2.04/2.39 inverse( 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , clause( 41, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a ) )
% 2.04/2.39 , b ) ] )
% 2.04/2.39 , 0, clause( 13787, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 2.04/2.39 'least_upper_bound'( c, a ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13789, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13788, [ =( identity, 'least_upper_bound'( identity, multiply( b
% 2.04/2.39 , inverse( 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1815, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), identity ) ] )
% 2.04/2.39 , clause( 13789, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), identity ) ] )
% 2.04/2.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13790, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , clause( 1727, [ =( 'greatest_lower_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13791, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.04/2.39 , X ) ) ] )
% 2.04/2.39 , 0, clause( 13790, [ =( identity, 'greatest_lower_bound'( identity,
% 2.04/2.39 multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ) ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ) )] ), substitution( 1, [ :=(
% 2.04/2.39 X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13794, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13791, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1874, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( X
% 2.04/2.39 , Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13794, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13796, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , clause( 1874, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 X, Y ), inverse( Y ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13797, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ), identity ) ) ] )
% 2.04/2.39 , clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a )
% 2.04/2.39 ) ] )
% 2.04/2.39 , 0, clause( 13796, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( X, Y ), inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13798, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13797, [ =( identity, 'greatest_lower_bound'( multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ), identity ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 1905, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'( c
% 2.04/2.39 , a ), inverse( b ) ), identity ), identity ) ] )
% 2.04/2.39 , clause( 13798, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ), identity ), identity ) ] )
% 2.04/2.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13800, [ =( 'greatest_lower_bound'( identity, multiply( X, Y ) ),
% 2.04/2.39 multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 2.04/2.39 , clause( 95, [ =( multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) )
% 2.04/2.39 , 'greatest_lower_bound'( identity, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13802, [ =( 'greatest_lower_bound'( identity, multiply( X, identity
% 2.04/2.39 ) ), multiply( X, inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 2.04/2.39 , clause( 183, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 2.04/2.39 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, clause( 13800, [ =( 'greatest_lower_bound'( identity, multiply( X, Y )
% 2.04/2.39 ), multiply( X, 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.39 :=( Y, identity )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13803, [ =( 'greatest_lower_bound'( identity, X ), multiply( X,
% 2.04/2.39 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13802, [ =( 'greatest_lower_bound'( identity, multiply( X,
% 2.04/2.39 identity ) ), multiply( X, inverse( 'least_upper_bound'( X, identity ) )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13804, [ =( multiply( X, inverse( 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13803, [ =( 'greatest_lower_bound'( identity, X ), multiply( X,
% 2.04/2.39 inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2208, [ =( multiply( X, inverse( 'least_upper_bound'( X, identity )
% 2.04/2.39 ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13804, [ =( multiply( X, inverse( 'least_upper_bound'( X,
% 2.04/2.39 identity ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13806, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , clause( 198, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13808, [ =( inverse( inverse( 'least_upper_bound'( X, identity ) )
% 2.04/2.39 ), multiply( inverse( 'greatest_lower_bound'( identity, X ) ), X ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , clause( 2208, [ =( multiply( X, inverse( 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, clause( 13806, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.04/2.39 ), X ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.39 :=( Y, inverse( 'least_upper_bound'( X, identity ) ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13809, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 2.04/2.39 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.39 , 0, clause( 13808, [ =( inverse( inverse( 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ), multiply( inverse( 'greatest_lower_bound'( identity, X ) ), X ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 2.04/2.39 substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13810, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 2.04/2.39 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 2.04/2.39 , clause( 13809, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2213, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 2.04/2.39 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 2.04/2.39 , clause( 13810, [ =( multiply( inverse( 'greatest_lower_bound'( identity,
% 2.04/2.39 X ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13812, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 2.04/2.39 , clause( 267, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13813, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , clause( 2208, [ =( multiply( X, inverse( 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, clause( 13812, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.39 :=( Y, 'least_upper_bound'( X, identity ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13814, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ), X ) ] )
% 2.04/2.39 , clause( 13813, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2214, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ), X ) ] )
% 2.04/2.39 , clause( 13814, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ), X ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13815, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , clause( 2214, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, identity ) ), X ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13816, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , clause( 77, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 2.04/2.39 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 2.04/2.39 , 0, clause( 13815, [ =( X, multiply( 'greatest_lower_bound'( identity, X )
% 2.04/2.39 , 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 :=( Y, X ), :=( Z, identity )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13819, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ), X ) ] )
% 2.04/2.39 , clause( 13816, [ =( X, multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2218, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ), X ) ] )
% 2.04/2.39 , clause( 13819, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ), X ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13821, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , clause( 309, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13822, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 multiply( 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.39 , clause( 2218, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ), X ) ] )
% 2.04/2.39 , 0, clause( 13821, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 2.04/2.39 ) ) ) ) ] )
% 2.04/2.39 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.39 'least_upper_bound'( identity, X ) ), :=( Y, 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13823, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , clause( 13822, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 multiply( 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2229, [ =( multiply( 'least_upper_bound'( identity, X ), inverse( X
% 2.04/2.39 ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , clause( 13823, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13825, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.04/2.39 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , clause( 150, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.04/2.39 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13830, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 2.04/2.39 ) ), 'greatest_lower_bound'( identity, X ) ), 'greatest_lower_bound'(
% 2.04/2.39 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X
% 2.04/2.39 , identity ) ) ) ] )
% 2.04/2.39 , clause( 2213, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 2.04/2.39 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 2.04/2.39 , 0, clause( 13825, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 2.04/2.39 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.39 inverse( 'greatest_lower_bound'( identity, X ) ) ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13831, [ =( identity, 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ) ] )
% 2.04/2.39 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.39 , 0, clause( 13830, [ =( multiply( inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ), 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 'greatest_lower_bound'( inverse( 'greatest_lower_bound'( identity, X ) )
% 2.04/2.39 , 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 2.04/2.39 , substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13832, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 2.04/2.39 , clause( 13831, [ =( identity, 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2254, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 2.04/2.39 , clause( 13832, [ =( 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 2.04/2.39 ) ), identity ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13834, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.04/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ) ) ] )
% 2.04/2.39 , clause( 45, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 2.04/2.39 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13836, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 2254, [ =( 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 2.04/2.39 ) ), identity ) ] )
% 2.04/2.39 , 0, clause( 13834, [ =( 'greatest_lower_bound'( X, Y ),
% 2.04/2.39 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.04/2.39 , Z ) ), Y ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ) ), :=( Y, X ), :=( Z, identity )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2272, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13836, [ =( 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), X ), 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13840, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.39 , clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.04/2.39 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13844, [ =( 'least_upper_bound'( inverse( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ] )
% 2.04/2.39 , clause( 2272, [ =( 'greatest_lower_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ), X ), 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ) ] )
% 2.04/2.39 , 0, clause( 13840, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.39 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.04/2.39 :=( X, inverse( 'greatest_lower_bound'( identity, inverse( X ) ) ) ),
% 2.04/2.39 :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13846, [ =( 'least_upper_bound'( inverse( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ),
% 2.04/2.39 'least_upper_bound'( inverse( identity ), X ) ) ] )
% 2.04/2.39 , clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.04/2.39 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.04/2.39 , 0, clause( 13844, [ =( 'least_upper_bound'( inverse( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ] )
% 2.04/2.39 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.04/2.39 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13847, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 inverse( identity ), X ) ), X ), 'least_upper_bound'( inverse( identity )
% 2.04/2.39 , X ) ) ] )
% 2.04/2.39 , clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.04/2.39 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.04/2.39 , 0, clause( 13846, [ =( 'least_upper_bound'( inverse( inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ),
% 2.04/2.39 'least_upper_bound'( inverse( identity ), X ) ) ] )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.04/2.39 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13851, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 inverse( identity ), X ) ), X ), 'least_upper_bound'( identity, X ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.04/2.39 , 0, clause( 13847, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 inverse( identity ), X ) ), X ), 'least_upper_bound'( inverse( identity )
% 2.04/2.39 , X ) ) ] )
% 2.04/2.39 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13852, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.04/2.39 , 0, clause( 13851, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 inverse( identity ), X ) ), X ), 'least_upper_bound'( identity, X ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2292, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13852, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13857, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X, Y )
% 2.04/2.39 ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , clause( 97, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.04/2.39 , Y ) ), multiply( inverse( X ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13862, [ =( multiply( inverse( multiply( 'least_upper_bound'( c, a
% 2.04/2.39 ), inverse( b ) ) ), identity ), 'greatest_lower_bound'( identity,
% 2.04/2.39 multiply( inverse( multiply( 'least_upper_bound'( c, a ), inverse( b ) )
% 2.04/2.39 ), identity ) ) ) ] )
% 2.04/2.39 , clause( 1905, [ =( 'greatest_lower_bound'( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ), identity ), identity ) ] )
% 2.04/2.39 , 0, clause( 13857, [ =( multiply( inverse( X ), 'greatest_lower_bound'( X
% 2.04/2.39 , Y ) ), 'greatest_lower_bound'( identity, multiply( inverse( X ), Y ) )
% 2.04/2.39 ) ] )
% 2.04/2.39 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ) ), :=( Y, identity )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13864, [ =( multiply( inverse( multiply( 'least_upper_bound'( c, a
% 2.04/2.39 ), inverse( b ) ) ), identity ), 'greatest_lower_bound'( identity,
% 2.04/2.39 inverse( multiply( 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13862, [ =( multiply( inverse( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ) ), identity ), 'greatest_lower_bound'( identity,
% 2.04/2.39 multiply( inverse( multiply( 'least_upper_bound'( c, a ), inverse( b ) )
% 2.04/2.39 ), identity ) ) ) ] )
% 2.04/2.39 , 0, 12, substitution( 0, [ :=( X, inverse( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ) ) )] ), substitution( 1, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13865, [ =( inverse( multiply( 'least_upper_bound'( c, a ), inverse(
% 2.04/2.39 b ) ) ), 'greatest_lower_bound'( identity, inverse( multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13864, [ =( multiply( inverse( multiply( 'least_upper_bound'(
% 2.04/2.39 c, a ), inverse( b ) ) ), identity ), 'greatest_lower_bound'( identity,
% 2.04/2.39 inverse( multiply( 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( 'least_upper_bound'( c
% 2.04/2.39 , a ), inverse( b ) ) ) )] ), substitution( 1, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13870, [ =( inverse( multiply( 'least_upper_bound'( c, a ), inverse(
% 2.04/2.39 b ) ) ), inverse( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.04/2.39 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , 0, clause( 13865, [ =( inverse( multiply( 'least_upper_bound'( c, a ),
% 2.04/2.39 inverse( b ) ) ), 'greatest_lower_bound'( identity, inverse( multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, multiply( 'least_upper_bound'( c, a ),
% 2.04/2.39 inverse( b ) ) )] ), substitution( 1, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13871, [ =( inverse( multiply( 'least_upper_bound'( c, a ), inverse(
% 2.04/2.39 b ) ) ), 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.04/2.39 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.04/2.39 inverse( X ) ) ) ) ] )
% 2.04/2.39 , 0, clause( 13870, [ =( inverse( multiply( 'least_upper_bound'( c, a ),
% 2.04/2.39 inverse( b ) ) ), inverse( 'least_upper_bound'( identity, multiply(
% 2.04/2.39 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, 'least_upper_bound'( c, a ) ), :=( Y, b )] )
% 2.04/2.39 , substitution( 1, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13872, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) ),
% 2.04/2.39 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , clause( 145, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.04/2.39 inverse( Y ) ) ) ] )
% 2.04/2.39 , 0, clause( 13871, [ =( inverse( multiply( 'least_upper_bound'( c, a ),
% 2.04/2.39 inverse( b ) ) ), 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, 'least_upper_bound'( c, a ) )] )
% 2.04/2.39 , substitution( 1, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13873, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.39 , clause( 13872, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) )
% 2.04/2.39 , 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2307, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.39 , clause( 13873, [ =( 'greatest_lower_bound'( identity, multiply( b,
% 2.04/2.39 inverse( 'least_upper_bound'( c, a ) ) ) ), multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13874, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 2.04/2.39 , clause( 2292, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 2.04/2.39 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13875, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.39 , clause( 179, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 2.04/2.39 'least_upper_bound'( Y, X ) ) ) ] )
% 2.04/2.39 , 0, clause( 13874, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 2.04/2.39 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 2.04/2.39 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13875, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2351, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 2.04/2.39 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X
% 2.04/2.39 , identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13879, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.39 , clause( 2351, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 2.04/2.39 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13881, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 X, inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 2.04/2.39 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.04/2.39 ) ] )
% 2.04/2.39 , 0, clause( 13879, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, 4, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( X, identity
% 2.04/2.39 ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13889, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X
% 2.04/2.39 , identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13881, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, inverse( 'least_upper_bound'( X, identity ) ) ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2378, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X
% 2.04/2.39 , identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13889, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 2.04/2.39 X, identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13897, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 X, inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 2.04/2.39 , clause( 2378, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 2.04/2.39 X, identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13903, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, inverse(
% 2.04/2.39 identity ) ) ) ) ] )
% 2.04/2.39 , clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.04/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.39 , 0, clause( 13897, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( X, inverse( 'least_upper_bound'( X, identity ) ) ) )
% 2.04/2.39 ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.04/2.39 1, [ :=( X, inverse( X ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13904, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( X ), identity )
% 2.04/2.39 ) ) ) ] )
% 2.04/2.39 , clause( 491, [ =( 'least_upper_bound'( inverse( Z ),
% 2.04/2.39 'greatest_lower_bound'( X, inverse( Y ) ) ), inverse(
% 2.04/2.39 'greatest_lower_bound'( Z, 'least_upper_bound'( inverse( X ), Y ) ) ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, clause( 13903, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, inverse(
% 2.04/2.39 identity ) ) ) ) ] )
% 2.04/2.39 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X )] ),
% 2.04/2.39 substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13905, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X, identity )
% 2.04/2.39 ) ) ) ) ] )
% 2.04/2.39 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, clause( 13904, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( X ),
% 2.04/2.39 identity ) ) ) ) ] )
% 2.04/2.39 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13906, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , clause( 158, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 2.04/2.39 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.04/2.39 , 0, clause( 13905, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X,
% 2.04/2.39 identity ) ) ) ) ) ] )
% 2.04/2.39 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) ),
% 2.04/2.39 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13907, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , clause( 159, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 2.04/2.39 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.39 , 0, clause( 13906, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13908, [ =( 'least_upper_bound'( inverse( X ),
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ) ) ] )
% 2.04/2.39 , clause( 13907, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.39 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 2.04/2.39 ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2382, [ =( 'least_upper_bound'( inverse( X ),
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ) ) ] )
% 2.04/2.39 , clause( 13908, [ =( 'least_upper_bound'( inverse( X ),
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 2.04/2.39 identity, X ) ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13910, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y ) ),
% 2.04/2.39 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , clause( 105, [ =( 'least_upper_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.39 identity ), multiply( 'least_upper_bound'( Y, X ), inverse( X ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13911, [ =( multiply( 'least_upper_bound'( c, a ), inverse( b ) ),
% 2.04/2.39 'least_upper_bound'( multiply( c, inverse( b ) ), identity ) ) ] )
% 2.04/2.39 , clause( 29, [ =( 'least_upper_bound'( c, b ), 'least_upper_bound'( c, a )
% 2.04/2.39 ) ] )
% 2.04/2.39 , 0, clause( 13910, [ =( multiply( 'least_upper_bound'( X, Y ), inverse( Y
% 2.04/2.39 ) ), 'least_upper_bound'( multiply( X, inverse( Y ) ), identity ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 2.04/2.39 ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2705, [ =( multiply( 'least_upper_bound'( c, a ), inverse( b ) ),
% 2.04/2.39 'least_upper_bound'( multiply( c, inverse( b ) ), identity ) ) ] )
% 2.04/2.39 , clause( 13911, [ =( multiply( 'least_upper_bound'( c, a ), inverse( b ) )
% 2.04/2.39 , 'least_upper_bound'( multiply( c, inverse( b ) ), identity ) ) ] )
% 2.04/2.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13914, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 2.04/2.39 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.04/2.39 , clause( 108, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.04/2.39 'least_upper_bound'( identity, Y ), X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13922, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'( identity, X
% 2.04/2.39 ) ) ) ] )
% 2.04/2.39 , clause( 1300, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 2.04/2.39 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , 0, clause( 13914, [ =( multiply( 'least_upper_bound'( identity, Y ), X )
% 2.04/2.39 , 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.04/2.39 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13923, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.04/2.39 identity ), X ) ) ] )
% 2.04/2.39 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.39 , 0, clause( 13922, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, identity ) ), 'least_upper_bound'(
% 2.04/2.39 identity, X ) ) ) ] )
% 2.04/2.39 , 0, 9, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( X,
% 2.04/2.39 identity ) ) ), :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=(
% 2.04/2.39 X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13924, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ), identity )
% 2.04/2.39 ), X ) ) ] )
% 2.04/2.39 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , 0, clause( 13923, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( inverse( 'greatest_lower_bound'( X, identity ) ),
% 2.04/2.39 identity ), X ) ) ] )
% 2.04/2.39 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) )] )
% 2.04/2.39 , substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13925, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.39 , clause( 35, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 2.04/2.39 X ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.04/2.39 , 0, clause( 13924, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.39 inverse( 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.39 inverse( 'greatest_lower_bound'( 'greatest_lower_bound'( X, identity ),
% 2.04/2.39 identity ) ), X ) ) ] )
% 2.04/2.39 , 0, 11, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 2.04/2.39 substitution( 1, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2789, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.39 , clause( 13925, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.39 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13927, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 2.04/2.39 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.04/2.39 , clause( 108, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.04/2.39 'least_upper_bound'( identity, Y ), X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13928, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.04/2.39 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.04/2.39 , clause( 13927, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 2.04/2.39 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.04/2.39 , 0, clause( 103, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), multiply(
% 2.04/2.39 'least_upper_bound'( Z, X ), Y ) ) ] )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.39 :=( X, identity ), :=( Y, Y ), :=( Z, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2793, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.04/2.39 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.04/2.39 , clause( 13928, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.04/2.39 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13931, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ),
% 2.04/2.39 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.39 , clause( 54, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.04/2.39 'least_upper_bound'( 'least_upper_bound'( Y, Z ), X ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13932, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 2.04/2.39 'least_upper_bound'( X, identity ), multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , clause( 1815, [ =( 'least_upper_bound'( identity, multiply( b, inverse(
% 2.04/2.39 'least_upper_bound'( c, a ) ) ) ), identity ) ] )
% 2.04/2.39 , 0, clause( 13931, [ =( 'least_upper_bound'( 'least_upper_bound'( Y, Z ),
% 2.04/2.39 X ), 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.39 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.04/2.39 identity ), :=( Z, multiply( b, inverse( 'least_upper_bound'( c, a ) ) )
% 2.04/2.39 )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13934, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 2.04/2.39 , multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13932, [ =( 'least_upper_bound'( identity, X ),
% 2.04/2.39 'least_upper_bound'( 'least_upper_bound'( X, identity ), multiply( b,
% 2.04/2.39 inverse( 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 2846, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 2.04/2.39 , multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , clause( 13934, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 2.04/2.39 ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ),
% 2.04/2.39 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13937, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 2.04/2.39 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , clause( 152, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.04/2.39 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13952, [ =( multiply( X, multiply( 'least_upper_bound'( Y, identity
% 2.04/2.39 ), identity ) ), 'least_upper_bound'( X, multiply( X, multiply( Y,
% 2.04/2.39 identity ) ) ) ) ] )
% 2.04/2.39 , clause( 2793, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.04/2.39 'least_upper_bound'( X, identity ), Y ) ) ] )
% 2.04/2.39 , 0, clause( 13937, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 2.04/2.39 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, identity )] ), substitution(
% 2.04/2.39 1, [ :=( X, X ), :=( Y, multiply( Y, identity ) )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13955, [ =( multiply( X, multiply( 'least_upper_bound'( Y, identity
% 2.04/2.39 ), identity ) ), 'least_upper_bound'( X, multiply( multiply( X, Y ),
% 2.04/2.39 identity ) ) ) ] )
% 2.04/2.39 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.04/2.39 ), Z ) ) ] )
% 2.04/2.39 , 0, clause( 13952, [ =( multiply( X, multiply( 'least_upper_bound'( Y,
% 2.04/2.39 identity ), identity ) ), 'least_upper_bound'( X, multiply( X, multiply(
% 2.04/2.39 Y, identity ) ) ) ) ] )
% 2.04/2.39 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 2.04/2.39 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13958, [ =( multiply( X, multiply( 'least_upper_bound'( Y, identity
% 2.04/2.39 ), identity ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13955, [ =( multiply( X, multiply( 'least_upper_bound'( Y,
% 2.04/2.39 identity ), identity ) ), 'least_upper_bound'( X, multiply( multiply( X,
% 2.04/2.39 Y ), identity ) ) ) ] )
% 2.04/2.39 , 0, 10, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1
% 2.04/2.39 , [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13960, [ =( multiply( multiply( X, 'least_upper_bound'( Y, identity
% 2.04/2.39 ) ), identity ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.04/2.39 ), Z ) ) ] )
% 2.04/2.39 , 0, clause( 13958, [ =( multiply( X, multiply( 'least_upper_bound'( Y,
% 2.04/2.39 identity ), identity ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y,
% 2.04/2.39 identity ) ), :=( Z, identity )] ), substitution( 1, [ :=( X, X ), :=( Y
% 2.04/2.39 , Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13961, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.04/2.39 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , clause( 149, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.39 , 0, clause( 13960, [ =( multiply( multiply( X, 'least_upper_bound'( Y,
% 2.04/2.39 identity ) ), identity ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , 0, 1, substitution( 0, [ :=( X, multiply( X, 'least_upper_bound'( Y,
% 2.04/2.39 identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13962, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.04/2.39 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.04/2.39 , clause( 13961, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.04/2.39 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 subsumption(
% 2.04/2.39 clause( 3241, [ =( 'least_upper_bound'( Y, multiply( Y, X ) ), multiply( Y
% 2.04/2.39 , 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.39 , clause( 13962, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 2.04/2.39 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.04/2.39 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.39 )] ) ).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 eqswap(
% 2.04/2.39 clause( 13964, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 2.04/2.39 ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 2.04/2.39 )
% 2.04/2.39 , clause( 119, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 2.04/2.39 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 2.04/2.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.39
% 2.04/2.39
% 2.04/2.39 paramod(
% 2.04/2.39 clause( 13965, [ =( multiply( 'greatest_lower_bound'( c, a ), inverse( c )
% 2.04/2.40 ), 'greatest_lower_bound'( identity, multiply( b, inverse( c ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 37, [ =( 'greatest_lower_bound'( c, b ), 'greatest_lower_bound'(
% 2.04/2.40 c, a ) ) ] )
% 2.04/2.40 , 0, clause( 13964, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 2.04/2.40 Y ) ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 13966, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.40 c ) ) ), multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , clause( 13965, [ =( multiply( 'greatest_lower_bound'( c, a ), inverse( c
% 2.04/2.40 ) ), 'greatest_lower_bound'( identity, multiply( b, inverse( c ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , 0, substitution( 0, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3587, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.40 c ) ) ), multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , clause( 13966, [ =( 'greatest_lower_bound'( identity, multiply( b,
% 2.04/2.40 inverse( c ) ) ), multiply( 'greatest_lower_bound'( c, a ), inverse( c )
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 13968, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 2.04/2.40 , clause( 87, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.04/2.40 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13970, [ =( 'least_upper_bound'( inverse( X ), X ),
% 2.04/2.40 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , clause( 2382, [ =( 'least_upper_bound'( inverse( X ),
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ) ) ] )
% 2.04/2.40 , 0, clause( 13968, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 2.04/2.40 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.04/2.40 X ) ), :=( Y, X ), :=( Z, identity )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 13972, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 13970, [ =( 'least_upper_bound'( inverse( X ), X ),
% 2.04/2.40 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3590, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 13972, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 13974, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.04/2.40 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.04/2.40 , clause( 153, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 2.04/2.40 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13981, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'(
% 2.04/2.40 identity, X ) ) ) ] )
% 2.04/2.40 , clause( 2229, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.40 , 0, clause( 13974, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 2.04/2.40 , 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.04/2.40 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.40 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13982, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.40 identity ), X ) ) ] )
% 2.04/2.40 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.40 , 0, clause( 13981, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'(
% 2.04/2.40 identity, X ) ) ) ] )
% 2.04/2.40 , 0, 9, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 2.04/2.40 , X ) ) ), :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X
% 2.04/2.40 )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13984, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ),
% 2.04/2.40 identity ) ), X ) ) ] )
% 2.04/2.40 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.40 , 0, clause( 13982, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 2.04/2.40 identity ), X ) ) ] )
% 2.04/2.40 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 2.04/2.40 , substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13986, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 2.04/2.40 , clause( 63, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.04/2.40 , 0, clause( 13984, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ),
% 2.04/2.40 identity ) ), X ) ) ] )
% 2.04/2.40 , 0, 11, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 2.04/2.40 substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13987, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 3590, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , 0, clause( 13986, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 2.04/2.40 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13988, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.40 X ), X ) ) ] )
% 2.04/2.40 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.40 , 0, clause( 13987, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ] )
% 2.04/2.40 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13989, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 2.04/2.40 , identity ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 2789, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.40 , 0, clause( 13988, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 inverse( 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3639, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 2.04/2.40 , identity ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 13989, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 X, identity ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 13992, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.04/2.40 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.40 , clause( 3241, [ =( 'least_upper_bound'( Y, multiply( Y, X ) ), multiply(
% 2.04/2.40 Y, 'least_upper_bound'( X, identity ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 13999, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ) ) ) ] )
% 2.04/2.40 , clause( 2229, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 X ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 2.04/2.40 , 0, clause( 13992, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 2.04/2.40 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.04/2.40 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.40 'least_upper_bound'( identity, X ) ), :=( Y, inverse( X ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14000, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( identity, X ), identity ),
% 2.04/2.40 inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 168, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 2.04/2.40 ), inverse( X ) ) ) ] )
% 2.04/2.40 , 0, clause( 13999, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( 'greatest_lower_bound'(
% 2.04/2.40 identity, X ) ) ) ) ] )
% 2.04/2.40 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 2.04/2.40 , X ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14001, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.04/2.40 'least_upper_bound'( X, Y ) ) ] )
% 2.04/2.40 , 0, clause( 14000, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( identity, X ), identity ),
% 2.04/2.40 inverse( X ) ) ) ] )
% 2.04/2.40 , 0, 10, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 2.04/2.40 substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14002, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 160, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ) ] )
% 2.04/2.40 , 0, clause( 14001, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 'least_upper_bound'( inverse( X ), identity ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.40 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14003, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'( X
% 2.04/2.40 , identity ) ), X ), 'least_upper_bound'( 'least_upper_bound'( identity,
% 2.04/2.40 X ), inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 2789, [ =( multiply( 'least_upper_bound'( identity, X ), inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'( inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 2.04/2.40 , 0, clause( 14002, [ =( multiply( 'least_upper_bound'( identity, X ),
% 2.04/2.40 inverse( 'greatest_lower_bound'( X, identity ) ) ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14004, [ =( 'least_upper_bound'( inverse( X ), X ),
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( identity, X ), inverse( X ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , clause( 3639, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 2.04/2.40 X, identity ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , 0, clause( 14003, [ =( 'least_upper_bound'( inverse(
% 2.04/2.40 'greatest_lower_bound'( X, identity ) ), X ), 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( identity, X ), inverse( X ) ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14005, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 2.04/2.40 , inverse( X ) ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 14004, [ =( 'least_upper_bound'( inverse( X ), X ),
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( identity, X ), inverse( X ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3640, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 2.04/2.40 , inverse( X ) ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , clause( 14005, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 2.04/2.40 ), inverse( X ) ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14007, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 2.04/2.40 , clause( 49, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14008, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ), identity ) ) ] )
% 2.04/2.40 , clause( 3640, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 2.04/2.40 ), inverse( X ) ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 2.04/2.40 , 0, clause( 14007, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.04/2.40 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.40 identity ), :=( Y, X ), :=( Z, inverse( X ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14010, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 2.04/2.40 ), X ), identity ), identity ) ] )
% 2.04/2.40 , clause( 14008, [ =( identity, 'greatest_lower_bound'( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ), identity ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3663, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse( X
% 2.04/2.40 ), X ), identity ), identity ) ] )
% 2.04/2.40 , clause( 14010, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 2.04/2.40 X ), X ), identity ), identity ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14013, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( Y )
% 2.04/2.40 ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 119, [ =( 'greatest_lower_bound'( identity, multiply( Y, inverse(
% 2.04/2.40 X ) ) ), multiply( 'greatest_lower_bound'( X, Y ), inverse( X ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14019, [ =( multiply( identity, inverse( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ), 'greatest_lower_bound'( identity, multiply(
% 2.04/2.40 identity, inverse( 'least_upper_bound'( inverse( X ), X ) ) ) ) ) ] )
% 2.04/2.40 , clause( 3663, [ =( 'greatest_lower_bound'( 'least_upper_bound'( inverse(
% 2.04/2.40 X ), X ), identity ), identity ) ] )
% 2.04/2.40 , 0, clause( 14013, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse(
% 2.04/2.40 Y ) ), 'greatest_lower_bound'( identity, multiply( X, inverse( Y ) ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.04/2.40 identity ), :=( Y, 'least_upper_bound'( inverse( X ), X ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14021, [ =( multiply( identity, inverse( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ), 'greatest_lower_bound'( identity, inverse(
% 2.04/2.40 'least_upper_bound'( inverse( X ), X ) ) ) ) ] )
% 2.04/2.40 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.40 , 0, clause( 14019, [ =( multiply( identity, inverse( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ), 'greatest_lower_bound'( identity, multiply(
% 2.04/2.40 identity, inverse( 'least_upper_bound'( inverse( X ), X ) ) ) ) ) ] )
% 2.04/2.40 , 0, 10, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( inverse( X
% 2.04/2.40 ), X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14022, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) ),
% 2.04/2.40 'greatest_lower_bound'( identity, inverse( 'least_upper_bound'( inverse(
% 2.04/2.40 X ), X ) ) ) ) ] )
% 2.04/2.40 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.40 , 0, clause( 14021, [ =( multiply( identity, inverse( 'least_upper_bound'(
% 2.04/2.40 inverse( X ), X ) ) ), 'greatest_lower_bound'( identity, inverse(
% 2.04/2.40 'least_upper_bound'( inverse( X ), X ) ) ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( inverse( X
% 2.04/2.40 ), X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14028, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) ),
% 2.04/2.40 inverse( 'least_upper_bound'( identity, 'least_upper_bound'( inverse( X )
% 2.04/2.40 , X ) ) ) ) ] )
% 2.04/2.40 , clause( 182, [ =( 'greatest_lower_bound'( identity, inverse( X ) ),
% 2.04/2.40 inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 2.04/2.40 , 0, clause( 14022, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) )
% 2.04/2.40 , 'greatest_lower_bound'( identity, inverse( 'least_upper_bound'( inverse(
% 2.04/2.40 X ), X ) ) ) ) ] )
% 2.04/2.40 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( inverse( X ), X ) )] )
% 2.04/2.40 , substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14029, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) ),
% 2.04/2.40 inverse( 'least_upper_bound'( 'least_upper_bound'( identity, inverse( X )
% 2.04/2.40 ), X ) ) ) ] )
% 2.04/2.40 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.40 , 0, clause( 14028, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) )
% 2.04/2.40 , inverse( 'least_upper_bound'( identity, 'least_upper_bound'( inverse( X
% 2.04/2.40 ), X ) ) ) ) ] )
% 2.04/2.40 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, inverse( X ) ), :=( Z
% 2.04/2.40 , X )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14030, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) ),
% 2.04/2.40 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , clause( 488, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'( Z,
% 2.04/2.40 inverse( X ) ), Y ) ), 'greatest_lower_bound'( inverse(
% 2.04/2.40 'least_upper_bound'( Y, Z ) ), X ) ) ] )
% 2.04/2.40 , 0, clause( 14029, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) )
% 2.04/2.40 , inverse( 'least_upper_bound'( 'least_upper_bound'( identity, inverse( X
% 2.04/2.40 ) ), X ) ) ) ] )
% 2.04/2.40 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, identity )] ),
% 2.04/2.40 substitution( 1, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14031, [ =( 'greatest_lower_bound'( X, inverse( X ) ),
% 2.04/2.40 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , clause( 180, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 2.04/2.40 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.40 , 0, clause( 14030, [ =( inverse( 'least_upper_bound'( inverse( X ), X ) )
% 2.04/2.40 , 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ),
% 2.04/2.40 X ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.40 :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14032, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 2.04/2.40 , identity ) ), X ), 'greatest_lower_bound'( X, inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 14031, [ =( 'greatest_lower_bound'( X, inverse( X ) ),
% 2.04/2.40 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 3792, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'( X
% 2.04/2.40 , identity ) ), X ), 'greatest_lower_bound'( X, inverse( X ) ) ) ] )
% 2.04/2.40 , clause( 14032, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 2.04/2.40 X, identity ) ), X ), 'greatest_lower_bound'( X, inverse( X ) ) ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14034, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y, Z
% 2.04/2.40 ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.40 , clause( 197, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) )
% 2.04/2.40 , inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14037, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 2.04/2.40 , clause( 96, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 2.04/2.40 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.40 , 0, clause( 14034, [ =( X, multiply( multiply( X, 'greatest_lower_bound'(
% 2.04/2.40 Y, Z ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.04/2.40 :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14038, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.40 , clause( 157, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.04/2.40 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.40 , 0, clause( 14037, [ =( X, multiply( 'greatest_lower_bound'( multiply( X,
% 2.04/2.40 Y ), identity ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.04/2.40 :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14039, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.40 , clause( 14038, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y )
% 2.04/2.40 , identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 6534, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.40 , clause( 14039, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.40 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14041, [ =( 'greatest_lower_bound'( X, inverse( X ) ),
% 2.04/2.40 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , clause( 3792, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 2.04/2.40 X, identity ) ), X ), 'greatest_lower_bound'( X, inverse( X ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14050, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), 'greatest_lower_bound'( inverse(
% 2.04/2.40 identity ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 1762, [ =( 'least_upper_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), identity ), identity ) ] )
% 2.04/2.40 , 0, clause( 14041, [ =( 'greatest_lower_bound'( X, inverse( X ) ),
% 2.04/2.40 'greatest_lower_bound'( inverse( 'least_upper_bound'( X, identity ) ), X
% 2.04/2.40 ) ) ] )
% 2.04/2.40 , 0, 17, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b,
% 2.04/2.40 inverse( 'least_upper_bound'( c, a ) ) ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14051, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), inverse( 'least_upper_bound'(
% 2.04/2.40 identity, multiply( 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 540, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( X,
% 2.04/2.40 inverse( Y ) ) ), inverse( 'least_upper_bound'( Z, multiply( Y, inverse(
% 2.04/2.40 X ) ) ) ) ) ] )
% 2.04/2.40 , 0, clause( 14050, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), 'greatest_lower_bound'( inverse(
% 2.04/2.40 identity ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , 0, 15, substitution( 0, [ :=( X, b ), :=( Y, 'least_upper_bound'( c, a )
% 2.04/2.40 ), :=( Z, identity )] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14052, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), 'greatest_lower_bound'( identity,
% 2.04/2.40 multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.40 , clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.04/2.40 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.04/2.40 inverse( X ) ) ) ) ] )
% 2.04/2.40 , 0, clause( 14051, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), inverse( 'least_upper_bound'(
% 2.04/2.40 identity, multiply( 'least_upper_bound'( c, a ), inverse( b ) ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , 0, 15, substitution( 0, [ :=( X, 'least_upper_bound'( c, a ) ), :=( Y, b
% 2.04/2.40 )] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14053, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , clause( 2307, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, clause( 14052, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), 'greatest_lower_bound'( identity,
% 2.04/2.40 multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ) ] )
% 2.04/2.40 , 0, 15, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14054, [ =( inverse( 'least_upper_bound'( multiply(
% 2.04/2.40 'least_upper_bound'( c, a ), inverse( b ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , clause( 541, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.04/2.40 inverse( Z ) ), inverse( 'least_upper_bound'( multiply( Y, inverse( X ) )
% 2.04/2.40 , Z ) ) ) ] )
% 2.04/2.40 , 0, clause( 14053, [ =( 'greatest_lower_bound'( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), inverse( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, 'least_upper_bound'( c, a ) )
% 2.04/2.40 , :=( Z, multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) )] ),
% 2.04/2.40 substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14055, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.40 multiply( c, inverse( b ) ), identity ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , clause( 2705, [ =( multiply( 'least_upper_bound'( c, a ), inverse( b ) )
% 2.04/2.40 , 'least_upper_bound'( multiply( c, inverse( b ) ), identity ) ) ] )
% 2.04/2.40 , 0, clause( 14054, [ =( inverse( 'least_upper_bound'( multiply(
% 2.04/2.40 'least_upper_bound'( c, a ), inverse( b ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14056, [ =( inverse( 'least_upper_bound'( identity, multiply( c,
% 2.04/2.40 inverse( b ) ) ) ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) )
% 2.04/2.40 ) ] )
% 2.04/2.40 , clause( 2846, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 2.04/2.40 ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ),
% 2.04/2.40 'least_upper_bound'( identity, X ) ) ] )
% 2.04/2.40 , 0, clause( 14055, [ =( inverse( 'least_upper_bound'( 'least_upper_bound'(
% 2.04/2.40 multiply( c, inverse( b ) ), identity ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ), multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, 2, substitution( 0, [ :=( X, multiply( c, inverse( b ) ) )] ),
% 2.04/2.40 substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14057, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.40 c ) ) ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , clause( 544, [ =( inverse( 'least_upper_bound'( identity, multiply( X,
% 2.04/2.40 inverse( Y ) ) ) ), 'greatest_lower_bound'( identity, multiply( Y,
% 2.04/2.40 inverse( X ) ) ) ) ] )
% 2.04/2.40 , 0, clause( 14056, [ =( inverse( 'least_upper_bound'( identity, multiply(
% 2.04/2.40 c, inverse( b ) ) ) ), multiply( b, inverse( 'least_upper_bound'( c, a )
% 2.04/2.40 ) ) ) ] )
% 2.04/2.40 , 0, 1, substitution( 0, [ :=( X, c ), :=( Y, b )] ), substitution( 1, [] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14058, [ =( multiply( 'greatest_lower_bound'( c, a ), inverse( c )
% 2.04/2.40 ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , clause( 3587, [ =( 'greatest_lower_bound'( identity, multiply( b, inverse(
% 2.04/2.40 c ) ) ), multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , 0, clause( 14057, [ =( 'greatest_lower_bound'( identity, multiply( b,
% 2.04/2.40 inverse( c ) ) ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14059, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) ),
% 2.04/2.40 multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , clause( 14058, [ =( multiply( 'greatest_lower_bound'( c, a ), inverse( c
% 2.04/2.40 ) ), multiply( b, inverse( 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 7327, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) ),
% 2.04/2.40 multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , clause( 14059, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) )
% 2.04/2.40 , multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14061, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.40 , clause( 6534, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.40 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14069, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 120, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.40 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , 0, clause( 14061, [ =( X, multiply( 'greatest_lower_bound'( multiply( X,
% 2.04/2.40 Y ), identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.40 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14070, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.40 , 0, clause( 14069, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 2.04/2.40 Y ), inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) )
% 2.04/2.40 ) ] )
% 2.04/2.40 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.40 :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14071, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , clause( 14070, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y )
% 2.04/2.40 , inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 12944, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , clause( 14071, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.40 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14072, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , clause( 12944, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14073, [ =( X, multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , clause( 118, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 2.04/2.40 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 2.04/2.40 , 0, clause( 14072, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 2.04/2.40 Y ), inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y )] )
% 2.04/2.40 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14076, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , clause( 14073, [ =( X, multiply( multiply( 'greatest_lower_bound'( Y, X )
% 2.04/2.40 , inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 12972, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , clause( 14076, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.40 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 eqswap(
% 2.04/2.40 clause( 14078, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , clause( 12944, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14084, [ =( b, multiply( multiply( b, inverse( 'least_upper_bound'(
% 2.04/2.40 c, a ) ) ), 'least_upper_bound'( b, 'least_upper_bound'( c, a ) ) ) ) ]
% 2.04/2.40 )
% 2.04/2.40 , clause( 41, [ =( 'greatest_lower_bound'( b, 'least_upper_bound'( c, a ) )
% 2.04/2.40 , b ) ] )
% 2.04/2.40 , 0, clause( 14078, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 2.04/2.40 Y ), inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.40 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 2.04/2.40 'least_upper_bound'( c, a ) )] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14085, [ =( b, multiply( multiply( 'greatest_lower_bound'( c, a ),
% 2.04/2.40 inverse( c ) ), 'least_upper_bound'( b, 'least_upper_bound'( c, a ) ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , clause( 7327, [ =( multiply( b, inverse( 'least_upper_bound'( c, a ) ) )
% 2.04/2.40 , multiply( 'greatest_lower_bound'( c, a ), inverse( c ) ) ) ] )
% 2.04/2.40 , 0, clause( 14084, [ =( b, multiply( multiply( b, inverse(
% 2.04/2.40 'least_upper_bound'( c, a ) ) ), 'least_upper_bound'( b,
% 2.04/2.40 'least_upper_bound'( c, a ) ) ) ) ] )
% 2.04/2.40 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14086, [ =( b, multiply( multiply( 'greatest_lower_bound'( c, a ),
% 2.04/2.40 inverse( c ) ), 'least_upper_bound'( 'least_upper_bound'( b, c ), a ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.40 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.40 , 0, clause( 14085, [ =( b, multiply( multiply( 'greatest_lower_bound'( c,
% 2.04/2.40 a ), inverse( c ) ), 'least_upper_bound'( b, 'least_upper_bound'( c, a )
% 2.04/2.40 ) ) ) ] )
% 2.04/2.40 , 0, 9, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 2.04/2.40 substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14087, [ =( b, multiply( multiply( 'greatest_lower_bound'( c, a ),
% 2.04/2.40 inverse( c ) ), 'least_upper_bound'( 'least_upper_bound'( a, c ), a ) ) )
% 2.04/2.40 ] )
% 2.04/2.40 , clause( 19, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 2.04/2.40 ) ] )
% 2.04/2.40 , 0, clause( 14086, [ =( b, multiply( multiply( 'greatest_lower_bound'( c,
% 2.04/2.40 a ), inverse( c ) ), 'least_upper_bound'( 'least_upper_bound'( b, c ), a
% 2.04/2.40 ) ) ) ] )
% 2.04/2.40 , 0, 10, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14088, [ =( b, multiply( multiply( 'greatest_lower_bound'( c, a ),
% 2.04/2.40 inverse( c ) ), 'least_upper_bound'( a, c ) ) ) ] )
% 2.04/2.40 , clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.04/2.40 'least_upper_bound'( X, Y ) ) ] )
% 2.04/2.40 , 0, clause( 14087, [ =( b, multiply( multiply( 'greatest_lower_bound'( c,
% 2.04/2.40 a ), inverse( c ) ), 'least_upper_bound'( 'least_upper_bound'( a, c ), a
% 2.04/2.40 ) ) ) ] )
% 2.04/2.40 , 0, 9, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 paramod(
% 2.04/2.40 clause( 14089, [ =( b, a ) ] )
% 2.04/2.40 , clause( 12972, [ =( multiply( multiply( 'greatest_lower_bound'( Y, X ),
% 2.04/2.40 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.40 , 0, clause( 14088, [ =( b, multiply( multiply( 'greatest_lower_bound'( c,
% 2.04/2.40 a ), inverse( c ) ), 'least_upper_bound'( a, c ) ) ) ] )
% 2.04/2.40 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 2.04/2.40 ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 12975, [ =( b, a ) ] )
% 2.04/2.40 , clause( 14089, [ =( b, a ) ] )
% 2.04/2.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 resolution(
% 2.04/2.40 clause( 14093, [] )
% 2.04/2.40 , clause( 22, [ ~( =( b, a ) ) ] )
% 2.04/2.40 , 0, clause( 12975, [ =( b, a ) ] )
% 2.04/2.40 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 subsumption(
% 2.04/2.40 clause( 12976, [] )
% 2.04/2.40 , clause( 14093, [] )
% 2.04/2.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 end.
% 2.04/2.40
% 2.04/2.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.40
% 2.04/2.40 Memory use:
% 2.04/2.40
% 2.04/2.40 space for terms: 177642
% 2.04/2.40 space for clauses: 1405499
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 clauses generated: 322944
% 2.04/2.40 clauses kept: 12977
% 2.04/2.40 clauses selected: 1003
% 2.04/2.40 clauses deleted: 157
% 2.04/2.40 clauses inuse deleted: 27
% 2.04/2.40
% 2.04/2.40 subsentry: 24505
% 2.04/2.40 literals s-matched: 21268
% 2.04/2.40 literals matched: 21017
% 2.04/2.40 full subsumption: 0
% 2.04/2.40
% 2.04/2.40 checksum: -878039555
% 2.04/2.40
% 2.04/2.40
% 2.04/2.40 Bliksem ended
%------------------------------------------------------------------------------