TSTP Solution File: GRP184-4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP184-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:35:58 EDT 2022
% Result : Unsatisfiable 1.72s 2.07s
% Output : Refutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP184-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 10:45:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.72/2.07 *** allocated 10000 integers for termspace/termends
% 1.72/2.07 *** allocated 10000 integers for clauses
% 1.72/2.07 *** allocated 10000 integers for justifications
% 1.72/2.07 Bliksem 1.12
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Automatic Strategy Selection
% 1.72/2.07
% 1.72/2.07 Clauses:
% 1.72/2.07 [
% 1.72/2.07 [ =( multiply( identity, X ), X ) ],
% 1.72/2.07 [ =( multiply( inverse( X ), X ), identity ) ],
% 1.72/2.07 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.72/2.07 ],
% 1.72/2.07 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 1.72/2.07 ,
% 1.72/2.07 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 1.72/2.07 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 1.72/2.07 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 1.72/2.07 [ =( 'least_upper_bound'( X, X ), X ) ],
% 1.72/2.07 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 1.72/2.07 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 1.72/2.07 ,
% 1.72/2.07 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 1.72/2.07 ,
% 1.72/2.07 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 1.72/2.07 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 1.72/2.07 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 1.72/2.07 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 1.72/2.07 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 1.72/2.07 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 1.72/2.07 [ =( inverse( identity ), identity ) ],
% 1.72/2.07 [ =( inverse( inverse( X ) ), X ) ],
% 1.72/2.07 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 1.72/2.07 ) ],
% 1.72/2.07 [ =( inverse( 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'(
% 1.72/2.07 inverse( X ), inverse( Y ) ) ) ],
% 1.72/2.07 [ =( inverse( 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'(
% 1.72/2.07 inverse( X ), inverse( Y ) ) ) ],
% 1.72/2.07 [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ]
% 1.72/2.07 ] .
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 percentage equality = 1.000000, percentage horn = 1.000000
% 1.72/2.07 This is a pure equality problem
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Options Used:
% 1.72/2.07
% 1.72/2.07 useres = 1
% 1.72/2.07 useparamod = 1
% 1.72/2.07 useeqrefl = 1
% 1.72/2.07 useeqfact = 1
% 1.72/2.07 usefactor = 1
% 1.72/2.07 usesimpsplitting = 0
% 1.72/2.07 usesimpdemod = 5
% 1.72/2.07 usesimpres = 3
% 1.72/2.07
% 1.72/2.07 resimpinuse = 1000
% 1.72/2.07 resimpclauses = 20000
% 1.72/2.07 substype = eqrewr
% 1.72/2.07 backwardsubs = 1
% 1.72/2.07 selectoldest = 5
% 1.72/2.07
% 1.72/2.07 litorderings [0] = split
% 1.72/2.07 litorderings [1] = extend the termordering, first sorting on arguments
% 1.72/2.07
% 1.72/2.07 termordering = kbo
% 1.72/2.07
% 1.72/2.07 litapriori = 0
% 1.72/2.07 termapriori = 1
% 1.72/2.07 litaposteriori = 0
% 1.72/2.07 termaposteriori = 0
% 1.72/2.07 demodaposteriori = 0
% 1.72/2.07 ordereqreflfact = 0
% 1.72/2.07
% 1.72/2.07 litselect = negord
% 1.72/2.07
% 1.72/2.07 maxweight = 15
% 1.72/2.07 maxdepth = 30000
% 1.72/2.07 maxlength = 115
% 1.72/2.07 maxnrvars = 195
% 1.72/2.07 excuselevel = 1
% 1.72/2.07 increasemaxweight = 1
% 1.72/2.07
% 1.72/2.07 maxselected = 10000000
% 1.72/2.07 maxnrclauses = 10000000
% 1.72/2.07
% 1.72/2.07 showgenerated = 0
% 1.72/2.07 showkept = 0
% 1.72/2.07 showselected = 0
% 1.72/2.07 showdeleted = 0
% 1.72/2.07 showresimp = 1
% 1.72/2.07 showstatus = 2000
% 1.72/2.07
% 1.72/2.07 prologoutput = 1
% 1.72/2.07 nrgoals = 5000000
% 1.72/2.07 totalproof = 1
% 1.72/2.07
% 1.72/2.07 Symbols occurring in the translation:
% 1.72/2.07
% 1.72/2.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.72/2.07 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.72/2.07 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.72/2.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.72/2.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.72/2.07 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.72/2.07 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.72/2.07 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.72/2.07 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.72/2.07 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.72/2.07 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Starting Search:
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Intermediate Status:
% 1.72/2.07 Generated: 23813
% 1.72/2.07 Kept: 2019
% 1.72/2.07 Inuse: 205
% 1.72/2.07 Deleted: 16
% 1.72/2.07 Deletedinuse: 8
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Intermediate Status:
% 1.72/2.07 Generated: 62312
% 1.72/2.07 Kept: 4020
% 1.72/2.07 Inuse: 348
% 1.72/2.07 Deleted: 26
% 1.72/2.07 Deletedinuse: 9
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Intermediate Status:
% 1.72/2.07 Generated: 102592
% 1.72/2.07 Kept: 6041
% 1.72/2.07 Inuse: 461
% 1.72/2.07 Deleted: 28
% 1.72/2.07 Deletedinuse: 9
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Intermediate Status:
% 1.72/2.07 Generated: 183598
% 1.72/2.07 Kept: 8042
% 1.72/2.07 Inuse: 622
% 1.72/2.07 Deleted: 59
% 1.72/2.07 Deletedinuse: 9
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07 Resimplifying inuse:
% 1.72/2.07 Done
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Bliksems!, er is een bewijs:
% 1.72/2.07 % SZS status Unsatisfiable
% 1.72/2.07 % SZS output start Refutation
% 1.72/2.07
% 1.72/2.07 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.72/2.07 , Z ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 1.72/2.07 ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 1.72/2.07 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 1.72/2.07 ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 1.72/2.07 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 1.72/2.07 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 1.72/2.07 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 1.72/2.07 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 20, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 1.72/2.07 identity ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 25, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.72/2.07 , identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 27, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.72/2.07 ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 1.72/2.07 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 30, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 1.72/2.07 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 33, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 1.72/2.07 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 1.72/2.07 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 57, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 68, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 1.72/2.07 identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 1.72/2.07 'least_upper_bound'( Z, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 73, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.07 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 82, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 1.72/2.07 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 1.72/2.07 )
% 1.72/2.07 .
% 1.72/2.07 clause( 146, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.07 'least_upper_bound'( identity, Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 154, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.07 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 156, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 1.72/2.07 'least_upper_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 157, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 1.72/2.07 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 170, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.07 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 177, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 1.72/2.07 'least_upper_bound'( Y, X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 178, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.07 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 179, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 1.72/2.07 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 181, [ =( 'greatest_lower_bound'( inverse( X ), identity ), inverse(
% 1.72/2.07 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 208, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 1.72/2.07 inverse( Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 209, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 1.72/2.07 Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 228, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.07 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.07 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 230, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.07 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 246, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 1.72/2.07 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 1.72/2.07 ), inverse( X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 254, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 279, [ =( 'least_upper_bound'( inverse( Z ), 'greatest_lower_bound'(
% 1.72/2.07 X, inverse( Y ) ) ), inverse( 'greatest_lower_bound'( Z,
% 1.72/2.07 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 307, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( Y,
% 1.72/2.07 inverse( X ) ) ), inverse( 'least_upper_bound'( Z, multiply( X, inverse(
% 1.72/2.07 Y ) ) ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 309, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 1.72/2.07 ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 687, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.07 X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 697, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.07 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 838, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.07 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 857, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.07 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.07 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, identity
% 1.72/2.07 ), inverse( X ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 895, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X,
% 1.72/2.07 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 897, [ =( 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'(
% 1.72/2.07 X, identity ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1000, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1602, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1721, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 1.72/2.07 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1846, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.07 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 1850, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 1.72/2.07 X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2640, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.07 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2682, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.07 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2715, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 1.72/2.07 ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2778, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity )
% 1.72/2.07 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2856, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.07 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2858, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.07 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2897, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.07 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 2918, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 1.72/2.07 identity, X ) ), X ), 'greatest_lower_bound'( inverse( X ), X ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 3884, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 1.72/2.07 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 5703, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 1.72/2.07 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 9116, [ ~( =( 'least_upper_bound'( a, inverse( a ) ),
% 1.72/2.07 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.07 .
% 1.72/2.07 clause( 9117, [] )
% 1.72/2.07 .
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 % SZS output end Refutation
% 1.72/2.07 found a proof!
% 1.72/2.07
% 1.72/2.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.72/2.07
% 1.72/2.07 initialclauses(
% 1.72/2.07 [ clause( 9119, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , clause( 9120, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 , clause( 9121, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.72/2.07 Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9122, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 Y, X ) ) ] )
% 1.72/2.07 , clause( 9123, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 1.72/2.07 ) ) ] )
% 1.72/2.07 , clause( 9124, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 1.72/2.07 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9125, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 1.72/2.07 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9126, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 1.72/2.07 , clause( 9127, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 1.72/2.07 , clause( 9128, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , clause( 9129, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , clause( 9130, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 9131, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 9132, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9133, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9134, [ =( inverse( identity ), identity ) ] )
% 1.72/2.07 , clause( 9135, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 , clause( 9136, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 1.72/2.07 inverse( X ) ) ) ] )
% 1.72/2.07 , clause( 9137, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.07 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.07 , clause( 9138, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.07 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.07 , clause( 9139, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 1.72/2.07 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ] )
% 1.72/2.07 ] ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , clause( 9119, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 , clause( 9120, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9145, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 1.72/2.07 Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9121, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.72/2.07 Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.72/2.07 , Z ) ) ] )
% 1.72/2.07 , clause( 9145, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.72/2.07 , Y ), Z ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 9122, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 Y, X ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 1.72/2.07 ] )
% 1.72/2.07 , clause( 9123, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 1.72/2.07 ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 1.72/2.07 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9124, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 1.72/2.07 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9125, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 1.72/2.07 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 1.72/2.07 ) ] )
% 1.72/2.07 , clause( 9128, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9129, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9187, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9130, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 1.72/2.07 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9187, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 1.72/2.07 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9198, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 1.72/2.07 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9131, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 9198, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 1.72/2.07 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9210, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 1.72/2.07 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9132, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 1.72/2.07 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9210, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 1.72/2.07 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9223, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 1.72/2.07 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9133, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 1.72/2.07 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , clause( 9223, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 1.72/2.07 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.07 , clause( 9134, [ =( inverse( identity ), identity ) ] )
% 1.72/2.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 , clause( 9135, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9268, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 1.72/2.07 multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9136, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 1.72/2.07 inverse( X ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9268, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 1.72/2.07 multiply( X, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9285, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9137, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.07 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 1.72/2.07 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9285, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9303, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9138, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.07 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9303, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.07 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 20, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ] )
% 1.72/2.07 , clause( 9139, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 1.72/2.07 inverse( 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.07 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.07 ) ) ) ) ] )
% 1.72/2.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9324, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.72/2.07 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9325, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 1.72/2.07 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 , 0, clause( 9324, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 1.72/2.07 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.07 X ) )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9326, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , clause( 9325, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , clause( 9326, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9327, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9328, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, clause( 9327, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 1.72/2.07 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9331, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9328, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9331, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9333, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, clause( 9332, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9336, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9333, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y,
% 1.72/2.07 X ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9336, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9338, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.72/2.07 Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.72/2.07 ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9341, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 1.72/2.07 , identity ) ) ] )
% 1.72/2.07 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , 0, clause( 9338, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.72/2.07 multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 1.72/2.07 identity ) ) ] )
% 1.72/2.07 , clause( 9341, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 1.72/2.07 X, identity ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9345, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.72/2.07 Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.72/2.07 ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9348, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 1.72/2.07 ), identity ) ] )
% 1.72/2.07 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 1.72/2.07 , 0, clause( 9345, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.72/2.07 multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 1.72/2.07 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 25, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 1.72/2.07 , identity ) ] )
% 1.72/2.07 , clause( 9348, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 1.72/2.07 Y ), identity ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9354, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.72/2.07 Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.72/2.07 ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9359, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 1.72/2.07 ) ] )
% 1.72/2.07 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , 0, clause( 9354, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 1.72/2.07 multiply( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, identity ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 27, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 1.72/2.07 ] )
% 1.72/2.07 , clause( 9359, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 1.72/2.07 ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9364, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9365, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, clause( 9364, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 1.72/2.07 Y ), X ) ) ] )
% 1.72/2.07 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9368, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9365, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9368, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9370, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9373, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 1.72/2.07 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, clause( 9370, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 1.72/2.07 Y, X ) ) ) ] )
% 1.72/2.07 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.07 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9374, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 1.72/2.07 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 9373, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 1.72/2.07 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 9374, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 1.72/2.07 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9376, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9379, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Y ) ) ] )
% 1.72/2.07 , clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, clause( 9376, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.72/2.07 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9380, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 1.72/2.07 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 9379, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Y ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 30, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 1.72/2.07 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 9380, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y )
% 1.72/2.07 , 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9381, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9382, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, clause( 9381, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9385, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9382, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 1.72/2.07 X ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9385, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9386, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9387, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, clause( 9386, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 1.72/2.07 X, Y ) ) ) ] )
% 1.72/2.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 1.72/2.07 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9390, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9387, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 33, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9390, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9392, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 1.72/2.07 Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 1.72/2.07 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9397, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 1.72/2.07 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, clause( 9392, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 1.72/2.07 Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ]
% 1.72/2.07 )
% 1.72/2.07 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 1.72/2.07 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 1.72/2.07 , clause( 9397, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X,
% 1.72/2.07 'least_upper_bound'( Y, Z ) ), Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9401, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 1.72/2.07 ) ) ) ] )
% 1.72/2.07 , clause( 32, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9402, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, clause( 9401, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 1.72/2.07 Y, X ) ) ) ] )
% 1.72/2.07 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 1.72/2.07 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9405, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , clause( 9402, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 1.72/2.07 , X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 1.72/2.07 X ) ] )
% 1.72/2.07 , clause( 9405, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 1.72/2.07 ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9407, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 1.72/2.07 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9412, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 1.72/2.07 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 , clause( 33, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, clause( 9407, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z
% 1.72/2.07 ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 1.72/2.07 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 1.72/2.07 , clause( 9412, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 1.72/2.07 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9417, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 1.72/2.07 X ) ) ] )
% 1.72/2.07 , clause( 22, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9418, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 1.72/2.07 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, clause( 9417, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 1.72/2.07 Y ), X ) ) ] )
% 1.72/2.07 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 substitution( 1, [ :=( X, X ), :=( Y, 'least_upper_bound'( Y, Z ) )] )
% 1.72/2.07 ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9419, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 1.72/2.07 , clause( 9418, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 57, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 1.72/2.07 , clause( 9419, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9420, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 1.72/2.07 ) ] )
% 1.72/2.07 , clause( 27, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9423, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 1.72/2.07 identity ) ] )
% 1.72/2.07 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , 0, clause( 9420, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 1.72/2.07 , Y ) ) ] )
% 1.72/2.07 , 0, 7, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 1.72/2.07 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( X, identity ) )
% 1.72/2.07 )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 68, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 1.72/2.07 identity ) ] )
% 1.72/2.07 , clause( 9423, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 1.72/2.07 identity ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9426, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9428, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.07 ) ] )
% 1.72/2.07 , 0, clause( 9426, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 1.72/2.07 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9430, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 1.72/2.07 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 1.72/2.07 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, clause( 9428, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 1.72/2.07 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 1.72/2.07 'least_upper_bound'( Z, Y ) ) ) ] )
% 1.72/2.07 , clause( 9430, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 1.72/2.07 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9432, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9433, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.07 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , 0, clause( 9432, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 73, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.07 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 9433, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) )
% 1.72/2.07 , 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9438, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 1.72/2.07 , clause( 57, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ), X ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9441, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 45, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 1.72/2.07 , X ) ] )
% 1.72/2.07 , 0, clause( 9438, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'(
% 1.72/2.07 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 1.72/2.07 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.72/2.07 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9442, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ), Y ) ) ] )
% 1.72/2.07 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 1.72/2.07 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, clause( 9441, [ =( 'greatest_lower_bound'( X, Y ),
% 1.72/2.07 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ),
% 1.72/2.07 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.07 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( Y, Z ) ), :=( Y, X )
% 1.72/2.07 , :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.72/2.07 ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9443, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 1.72/2.07 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 1.72/2.07 )
% 1.72/2.07 , clause( 9442, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.07 'greatest_lower_bound'( 'least_upper_bound'( Y, Z ), X ), Y ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 82, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 1.72/2.07 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 1.72/2.07 )
% 1.72/2.07 , clause( 9443, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 1.72/2.07 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 1.72/2.07 )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.72/2.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9445, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 1.72/2.07 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 1.72/2.07 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9446, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 1.72/2.07 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , 0, clause( 9445, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 1.72/2.07 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 1.72/2.07 identity ), :=( Y, Y ), :=( Z, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9448, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.07 'least_upper_bound'( identity, X ), Y ) ) ] )
% 1.72/2.07 , clause( 9446, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 1.72/2.07 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 146, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.07 'least_upper_bound'( identity, Y ), X ) ) ] )
% 1.72/2.07 , clause( 9448, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.07 'least_upper_bound'( identity, X ), Y ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9451, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 1.72/2.07 inverse( Y ) ) ) ] )
% 1.72/2.07 , clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 1.72/2.07 , identity ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9454, [ =( multiply( X, identity ), multiply( identity, inverse(
% 1.72/2.07 inverse( X ) ) ) ) ] )
% 1.72/2.07 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.07 , 0, clause( 9451, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 1.72/2.07 , inverse( Y ) ) ) ] )
% 1.72/2.07 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, inverse( X ) )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9455, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 1.72/2.07 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.07 , 0, clause( 9454, [ =( multiply( X, identity ), multiply( identity,
% 1.72/2.07 inverse( inverse( X ) ) ) ) ] )
% 1.72/2.07 , 0, 4, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 1.72/2.07 substitution( 1, [ :=( X, X )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9456, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.07 , 0, clause( 9455, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 1.72/2.07 ] )
% 1.72/2.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.07 ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , clause( 9456, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9459, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 1.72/2.07 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9460, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.07 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , 0, clause( 9459, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, identity ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9462, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.07 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , clause( 9460, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.07 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 154, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.07 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , clause( 9462, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 1.72/2.07 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9465, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9466, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 1.72/2.07 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , 0, clause( 9465, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, identity ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9468, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 1.72/2.07 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , clause( 9466, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 1.72/2.07 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 156, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 1.72/2.07 'least_upper_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , clause( 9468, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.07 X, 'least_upper_bound'( identity, Y ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9471, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 1.72/2.07 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9473, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.07 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.07 , 0, clause( 9471, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 1.72/2.07 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.07 :=( Y, Y ), :=( Z, identity )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9475, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 1.72/2.07 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.07 , clause( 9473, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 1.72/2.07 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 subsumption(
% 1.72/2.07 clause( 157, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 1.72/2.07 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.07 , clause( 9475, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 1.72/2.07 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.07 )] ) ).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 eqswap(
% 1.72/2.07 clause( 9477, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 1.72/2.07 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 1.72/2.07 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 1.72/2.07 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 1.72/2.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 paramod(
% 1.72/2.07 clause( 9478, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 1.72/2.07 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.07 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9477, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 1.72/2.08 identity ), :=( Y, Y ), :=( Z, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9480, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 1.72/2.08 , clause( 9478, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 1.72/2.08 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 170, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.08 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 1.72/2.08 , clause( 9480, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 1.72/2.08 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9482, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9484, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , 0, clause( 9482, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )
% 1.72/2.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9486, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9484, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 1.72/2.08 :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 177, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 9486, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( Y, X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9488, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9489, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9488, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.08 X ) ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 178, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 9489, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9494, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9496, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9494, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, inverse( Y ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 179, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , clause( 9496, [ =( inverse( 'least_upper_bound'( X, inverse( Y ) ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), Y ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9500, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9502, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.08 , 0, clause( 9500, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.72/2.08 identity )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9504, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9502, [ =( inverse( 'least_upper_bound'( X, identity ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 181, [ =( 'greatest_lower_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9504, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9506, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 1.72/2.08 inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 1.72/2.08 multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9507, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 1.72/2.08 inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9506, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X )
% 1.72/2.08 , inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.08 Y ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 208, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 1.72/2.08 inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 9507, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 1.72/2.08 inverse( X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9512, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 1.72/2.08 inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 1.72/2.08 multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9514, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 1.72/2.08 inverse( Y ), X ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9512, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X )
% 1.72/2.08 , inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.72/2.08 :=( Y, inverse( X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 209, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 1.72/2.08 Y ), X ) ) ] )
% 1.72/2.08 , clause( 9514, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 1.72/2.08 inverse( Y ), X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9518, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9519, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9518, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.08 X ) ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 228, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 9519, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9524, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9526, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 1.72/2.08 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 1.72/2.08 , 0, clause( 9524, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, inverse( Y ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , clause( 9526, [ =( inverse( 'greatest_lower_bound'( X, inverse( Y ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), Y ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9530, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9531, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.08 , 0, clause( 9530, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 1.72/2.08 , X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9533, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9531, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 'least_upper_bound'( identity, inverse( X ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 230, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9533, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9536, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 18, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9538, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.08 , 0, clause( 9536, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.72/2.08 identity )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9540, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9538, [ =( inverse( 'greatest_lower_bound'( X, identity ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9540, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9542, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 1.72/2.08 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.08 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9544, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 1.72/2.08 , inverse( Y ) ), 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, Y ) ) ) ) ] )
% 1.72/2.08 , clause( 230, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9542, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z
% 1.72/2.08 ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, identity ), :=( Z, inverse( Y ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9546, [ =( 'least_upper_bound'( X, inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, Y ) ) ), 'least_upper_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 9544, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( Y ) ), 'least_upper_bound'( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, Y ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 246, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 1.72/2.08 ), inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 9546, [ =( 'least_upper_bound'( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, Y ) ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( Y ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9547, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ) ) ) ) ] )
% 1.72/2.08 , clause( 20, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( a, identity ) ) ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( a, identity ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9549, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, a ) ) ) ) ) ] )
% 1.72/2.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , 0, clause( 9547, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ) ) ) ) ] )
% 1.72/2.08 , 0, 15, substitution( 0, [ :=( X, a ), :=( Y, identity )] ),
% 1.72/2.08 substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9550, [ ~( =( multiply( inverse( 'greatest_lower_bound'( identity,
% 1.72/2.08 a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, a ) ) ) ) ) ] )
% 1.72/2.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , 0, clause( 9549, [ ~( =( multiply( inverse( 'greatest_lower_bound'( a,
% 1.72/2.08 identity ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, a ) ) ) ) ) ] )
% 1.72/2.08 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 1.72/2.08 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9553, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , clause( 9550, [ ~( =( multiply( inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , a ) ), 'least_upper_bound'( a, identity ) ), multiply(
% 1.72/2.08 'least_upper_bound'( a, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, a ) ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 254, [ ~( =( multiply( 'least_upper_bound'( a, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , clause( 9553, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9556, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9560, [ =( 'least_upper_bound'( inverse( X ),
% 1.72/2.08 'greatest_lower_bound'( Y, inverse( Z ) ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( Y ), Z ) ) ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9556, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.08 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, inverse( Z ) ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 279, [ =( 'least_upper_bound'( inverse( Z ), 'greatest_lower_bound'(
% 1.72/2.08 X, inverse( Y ) ) ), inverse( 'greatest_lower_bound'( Z,
% 1.72/2.08 'least_upper_bound'( inverse( X ), Y ) ) ) ) ] )
% 1.72/2.08 , clause( 9560, [ =( 'least_upper_bound'( inverse( X ),
% 1.72/2.08 'greatest_lower_bound'( Y, inverse( Z ) ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( Y ), Z ) ) ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.72/2.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9567, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 19, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9569, [ =( inverse( 'least_upper_bound'( X, multiply( Y, inverse( Z
% 1.72/2.08 ) ) ) ), 'greatest_lower_bound'( inverse( X ), multiply( Z, inverse( Y )
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , clause( 208, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 1.72/2.08 inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9567, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.08 :=( X, X ), :=( Y, multiply( Y, inverse( Z ) ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9571, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Z,
% 1.72/2.08 inverse( Y ) ) ), inverse( 'least_upper_bound'( X, multiply( Y, inverse(
% 1.72/2.08 Z ) ) ) ) ) ] )
% 1.72/2.08 , clause( 9569, [ =( inverse( 'least_upper_bound'( X, multiply( Y, inverse(
% 1.72/2.08 Z ) ) ) ), 'greatest_lower_bound'( inverse( X ), multiply( Z, inverse( Y
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 307, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( Y,
% 1.72/2.08 inverse( X ) ) ), inverse( 'least_upper_bound'( Z, multiply( X, inverse(
% 1.72/2.08 Y ) ) ) ) ) ] )
% 1.72/2.08 , clause( 9571, [ =( 'greatest_lower_bound'( inverse( X ), multiply( Z,
% 1.72/2.08 inverse( Y ) ) ), inverse( 'least_upper_bound'( X, multiply( Y, inverse(
% 1.72/2.08 Z ) ) ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 1.72/2.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9573, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 1.72/2.08 inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y
% 1.72/2.08 , identity ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9580, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 1.72/2.08 identity ), multiply( identity, inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 25, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 1.72/2.08 ), identity ) ] )
% 1.72/2.08 , 0, clause( 9573, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 1.72/2.08 , inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.08 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9581, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 1.72/2.08 identity ), inverse( Y ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9580, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 1.72/2.08 ), identity ), multiply( identity, inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 1.72/2.08 :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9582, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 1.72/2.08 ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9581, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 1.72/2.08 ), identity ), inverse( Y ) ) ] )
% 1.72/2.08 , 0, 1, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ), X
% 1.72/2.08 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 309, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 1.72/2.08 ) ] )
% 1.72/2.08 , clause( 9582, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9585, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 1.72/2.08 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 170, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.08 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9594, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse( multiply( X
% 1.72/2.08 , identity ) ), identity ) ) ] )
% 1.72/2.08 , clause( 68, [ =( multiply( X, inverse( multiply( X, identity ) ) ),
% 1.72/2.08 identity ) ] )
% 1.72/2.08 , 0, clause( 9585, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 1.72/2.08 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 inverse( multiply( X, identity ) ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9595, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), inverse( 'least_upper_bound'( multiply( X,
% 1.72/2.08 identity ), identity ) ) ) ] )
% 1.72/2.08 , clause( 181, [ =( 'greatest_lower_bound'( inverse( X ), identity ),
% 1.72/2.08 inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9594, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), 'greatest_lower_bound'( inverse(
% 1.72/2.08 multiply( X, identity ) ), identity ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, multiply( X, identity ) )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9597, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), inverse( 'least_upper_bound'( X, identity )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9595, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), inverse( 'least_upper_bound'(
% 1.72/2.08 multiply( X, identity ), identity ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9598, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.08 X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9597, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 687, [ =( multiply( 'greatest_lower_bound'( identity, X ), inverse(
% 1.72/2.08 X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9598, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 inverse( X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9602, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 1.72/2.08 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 170, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.08 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9603, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9607, [ =( identity, 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), multiply( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 1.72/2.08 , clause( 9602, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 1.72/2.08 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9603, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 'greatest_lower_bound'( identity, X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9608, [ =( identity, inverse( 'least_upper_bound'(
% 1.72/2.08 'greatest_lower_bound'( identity, X ), multiply( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ), inverse( X ) ) ) ) ) ] )
% 1.72/2.08 , clause( 307, [ =( 'greatest_lower_bound'( inverse( Z ), multiply( Y,
% 1.72/2.08 inverse( X ) ) ), inverse( 'least_upper_bound'( Z, multiply( X, inverse(
% 1.72/2.08 Y ) ) ) ) ) ] )
% 1.72/2.08 , 0, clause( 9607, [ =( identity, 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), multiply( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 :=( Y, X ), :=( Z, 'greatest_lower_bound'( identity, X ) )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9609, [ =( identity, inverse( 'least_upper_bound'(
% 1.72/2.08 'greatest_lower_bound'( identity, X ), inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ) ) ) ) ] )
% 1.72/2.08 , clause( 687, [ =( multiply( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 inverse( X ) ), inverse( 'least_upper_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9608, [ =( identity, inverse( 'least_upper_bound'(
% 1.72/2.08 'greatest_lower_bound'( identity, X ), multiply( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ), inverse( X ) ) ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9610, [ =( identity, 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , clause( 179, [ =( inverse( 'least_upper_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'greatest_lower_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9609, [ =( identity, inverse( 'least_upper_bound'(
% 1.72/2.08 'greatest_lower_bound'( identity, X ), inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ) ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) ),
% 1.72/2.08 :=( Y, 'greatest_lower_bound'( identity, X ) )] ), substitution( 1, [
% 1.72/2.08 :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9611, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 1.72/2.08 , clause( 9610, [ =( identity, 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 697, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 1.72/2.08 , clause( 9611, [ =( 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( X, identity
% 1.72/2.08 ) ), identity ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9613, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 1.72/2.08 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ), Y ) ) ] )
% 1.72/2.08 , clause( 39, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Z,
% 1.72/2.08 'least_upper_bound'( X, Y ) ), X ), 'greatest_lower_bound'( Z, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9615, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 697, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), 'least_upper_bound'( X, identity ) ), identity ) ] )
% 1.72/2.08 , 0, clause( 9613, [ =( 'greatest_lower_bound'( X, Y ),
% 1.72/2.08 'greatest_lower_bound'( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 1.72/2.08 , Z ) ), Y ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), :=( Y, X ), :=( Z, identity )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 838, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9615, [ =( 'greatest_lower_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ), 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9619, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9623, [ =( 'least_upper_bound'( inverse( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ] )
% 1.72/2.08 , clause( 838, [ =( 'greatest_lower_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, clause( 9619, [ =( 'least_upper_bound'( inverse( X ), Y ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 1.72/2.08 :=( X, inverse( 'greatest_lower_bound'( identity, inverse( X ) ) ) ),
% 1.72/2.08 :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9625, [ =( 'least_upper_bound'( inverse( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ),
% 1.72/2.08 'least_upper_bound'( inverse( identity ), X ) ) ] )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9623, [ =( 'least_upper_bound'( inverse( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 1.72/2.08 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9626, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 inverse( identity ), X ) ), X ), 'least_upper_bound'( inverse( identity )
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9625, [ =( 'least_upper_bound'( inverse( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, inverse( X ) ) ) ), X ),
% 1.72/2.08 'least_upper_bound'( inverse( identity ), X ) ) ] )
% 1.72/2.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 1.72/2.08 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9630, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 inverse( identity ), X ) ), X ), 'least_upper_bound'( identity, X ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.08 , 0, clause( 9626, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 inverse( identity ), X ) ), X ), 'least_upper_bound'( inverse( identity )
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9631, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 1.72/2.08 , 0, clause( 9630, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 inverse( identity ), X ) ), X ), 'least_upper_bound'( identity, X ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 857, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9631, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9635, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 1.72/2.08 inverse( 'least_upper_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , clause( 857, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9636, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 1.72/2.08 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , clause( 177, [ =( inverse( 'least_upper_bound'( X, Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( Y, X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9635, [ =( 'least_upper_bound'( identity, X ),
% 1.72/2.08 'least_upper_bound'( inverse( 'least_upper_bound'( identity, X ) ), X ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 1.72/2.08 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9639, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9636, [ =( 'least_upper_bound'( identity, X ),
% 1.72/2.08 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9639, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9641, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , clause( 178, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9644, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( X ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, clause( 9641, [ =( 'greatest_lower_bound'( X, inverse( Y ) ), inverse(
% 1.72/2.08 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 'least_upper_bound'( X, identity ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( X ) ), inverse( 'least_upper_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9644, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 1.72/2.08 identity ), inverse( X ) ), inverse( 'least_upper_bound'( identity, X ) )
% 1.72/2.08 ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9646, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 1.72/2.08 inverse( 'least_upper_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , clause( 878, [ =( 'least_upper_bound'( inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), X ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9648, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 1.72/2.08 X, inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.08 ) ] )
% 1.72/2.08 , 0, clause( 9646, [ =( 'least_upper_bound'( identity, X ),
% 1.72/2.08 'least_upper_bound'( inverse( 'least_upper_bound'( X, identity ) ), X ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, 4, substitution( 0, [ :=( X, inverse( 'least_upper_bound'( X, identity
% 1.72/2.08 ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9656, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X
% 1.72/2.08 , identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9648, [ =( 'least_upper_bound'( identity, X ),
% 1.72/2.08 'least_upper_bound'( X, inverse( 'least_upper_bound'( X, identity ) ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 895, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X,
% 1.72/2.08 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9656, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'(
% 1.72/2.08 X, identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9664, [ =( 'least_upper_bound'( identity, X ), 'least_upper_bound'(
% 1.72/2.08 X, inverse( 'least_upper_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 895, [ =( 'least_upper_bound'( X, inverse( 'least_upper_bound'( X
% 1.72/2.08 , identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9670, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, inverse(
% 1.72/2.08 identity ) ) ) ) ] )
% 1.72/2.08 , clause( 178, [ =( inverse( 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9664, [ =( 'least_upper_bound'( identity, X ),
% 1.72/2.08 'least_upper_bound'( X, inverse( 'least_upper_bound'( X, identity ) ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 1.72/2.08 1, [ :=( X, inverse( X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9671, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( X ), identity )
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , clause( 279, [ =( 'least_upper_bound'( inverse( Z ),
% 1.72/2.08 'greatest_lower_bound'( X, inverse( Y ) ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( Z, 'least_upper_bound'( inverse( X ), Y ) ) ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , 0, clause( 9670, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, inverse(
% 1.72/2.08 identity ) ) ) ) ] )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9672, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9671, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, 'least_upper_bound'( inverse( X ),
% 1.72/2.08 identity ) ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9673, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , clause( 229, [ =( inverse( 'greatest_lower_bound'( Y, inverse( X ) ) ),
% 1.72/2.08 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9672, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) ) ) ) ) ] )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, identity ) ),
% 1.72/2.08 :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9674, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , clause( 230, [ =( 'least_upper_bound'( identity, inverse( X ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9673, [ =( 'least_upper_bound'( identity, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9675, [ =( 'least_upper_bound'( inverse( X ),
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9674, [ =( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 897, [ =( 'least_upper_bound'( inverse( X ), 'greatest_lower_bound'(
% 1.72/2.08 X, identity ) ), inverse( 'greatest_lower_bound'( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9675, [ =( 'least_upper_bound'( inverse( X ),
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9678, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 24, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 1.72/2.08 Y, identity ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 1.72/2.08 :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 1000, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 1.72/2.08 , clause( 9678, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9680, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , clause( 154, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.08 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9682, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 1.72/2.08 , X ) ) ] )
% 1.72/2.08 , 0, clause( 9680, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 1.72/2.08 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 1602, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , clause( 9682, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9689, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 1.72/2.08 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , clause( 156, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 1.72/2.08 , 'least_upper_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9690, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 1.72/2.08 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.08 , clause( 9689, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 1.72/2.08 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 72, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply(
% 1.72/2.08 X, 'least_upper_bound'( Z, Y ) ) ) ] )
% 1.72/2.08 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.72/2.08 :=( X, X ), :=( Y, identity ), :=( Z, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 1721, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 1.72/2.08 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.08 , clause( 9690, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.08 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9693, [ =( 'least_upper_bound'( identity, multiply( X, Y ) ),
% 1.72/2.08 multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , clause( 73, [ =( multiply( X, 'least_upper_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( identity, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9695, [ =( 'least_upper_bound'( identity, multiply( X, identity ) )
% 1.72/2.08 , multiply( X, inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9693, [ =( 'least_upper_bound'( identity, multiply( X, Y ) ),
% 1.72/2.08 multiply( X, 'least_upper_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, identity )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9696, [ =( 'least_upper_bound'( identity, X ), multiply( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9695, [ =( 'least_upper_bound'( identity, multiply( X,
% 1.72/2.08 identity ) ), multiply( X, inverse( 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9697, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9696, [ =( 'least_upper_bound'( identity, X ), multiply( X,
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 1846, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9697, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9698, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 1.72/2.08 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , clause( 1602, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9699, [ =( 'least_upper_bound'( identity, X ), multiply( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 1846, [ =( multiply( X, inverse( 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9702, [ =( 'least_upper_bound'( identity, multiply( identity, X ) )
% 1.72/2.08 , multiply( multiply( identity, X ), inverse( multiply( identity,
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 1.72/2.08 , clause( 9698, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 1.72/2.08 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9699, [ =( 'least_upper_bound'( identity, X ), multiply( X,
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 1.72/2.08 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9705, [ =( 'least_upper_bound'( identity, multiply( identity, X ) )
% 1.72/2.08 , multiply( multiply( identity, X ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9702, [ =( 'least_upper_bound'( identity, multiply( identity,
% 1.72/2.08 X ) ), multiply( multiply( identity, X ), inverse( multiply( identity,
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 1.72/2.08 , substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9711, [ =( 'least_upper_bound'( identity, multiply( identity, X ) )
% 1.72/2.08 , multiply( X, inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9705, [ =( 'least_upper_bound'( identity, multiply( identity,
% 1.72/2.08 X ) ), multiply( multiply( identity, X ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9712, [ =( 'least_upper_bound'( identity, X ), multiply( X, inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9711, [ =( 'least_upper_bound'( identity, multiply( identity,
% 1.72/2.08 X ) ), multiply( X, inverse( 'greatest_lower_bound'( identity, X ) ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9714, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 1.72/2.08 X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9712, [ =( 'least_upper_bound'( identity, X ), multiply( X,
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 1850, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity,
% 1.72/2.08 X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , clause( 9714, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9717, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 146, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 1.72/2.08 'least_upper_bound'( identity, Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9730, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply( identity,
% 1.72/2.08 X ), Y ) ) ) ] )
% 1.72/2.08 , clause( 1721, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 1.72/2.08 X, 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9717, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 1.72/2.08 1, [ :=( X, Y ), :=( Y, multiply( identity, X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9733, [ =( multiply( multiply( identity, 'least_upper_bound'( X,
% 1.72/2.08 identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9730, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 1.72/2.08 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( multiply(
% 1.72/2.08 identity, X ), Y ) ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9735, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 1.72/2.08 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9733, [ =( multiply( multiply( identity, 'least_upper_bound'(
% 1.72/2.08 X, identity ) ), Y ), 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9736, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , clause( 9735, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 1.72/2.08 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2640, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , clause( 9736, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.72/2.08 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9738, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 2640, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9746, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'( identity, X
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , clause( 1850, [ =( multiply( X, inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ) ), 'least_upper_bound'( identity, X ) ) ] )
% 1.72/2.08 , 0, clause( 9738, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9747, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 identity ), X ) ) ] )
% 1.72/2.08 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 1.72/2.08 , 0, clause( 9746, [ =( multiply( 'least_upper_bound'( X, identity ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ), 'least_upper_bound'(
% 1.72/2.08 identity, X ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ) ), :=( Y, identity ), :=( Z, X )] ), substitution( 1, [ :=( X, X
% 1.72/2.08 )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9748, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ), identity )
% 1.72/2.08 ), X ) ) ] )
% 1.72/2.08 , clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9747, [ =( multiply( 'least_upper_bound'( X, identity ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ),
% 1.72/2.08 identity ), X ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, 'greatest_lower_bound'( identity, X ) )] )
% 1.72/2.08 , substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9749, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , clause( 29, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 1.72/2.08 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 1.72/2.08 , 0, clause( 9748, [ =( multiply( 'least_upper_bound'( X, identity ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'(
% 1.72/2.08 inverse( 'greatest_lower_bound'( 'greatest_lower_bound'( identity, X ),
% 1.72/2.08 identity ) ), X ) ) ] )
% 1.72/2.08 , 0, 11, substitution( 0, [ :=( X, identity ), :=( Y, X )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2682, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , clause( 9749, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9752, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , clause( 2640, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9756, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 1.72/2.08 ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , clause( 21, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 1.72/2.08 , 0, clause( 9752, [ =( multiply( 'least_upper_bound'( Y, identity ), X ),
% 1.72/2.08 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 inverse( X ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9757, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 1.72/2.08 ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 231, [ =( 'least_upper_bound'( inverse( X ), identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9756, [ =( multiply( 'least_upper_bound'( X, identity ),
% 1.72/2.08 inverse( X ) ), 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2715, [ =( multiply( 'least_upper_bound'( X, identity ), inverse( X
% 1.72/2.08 ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , clause( 9757, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 X ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9760, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 1.72/2.08 , clause( 1000, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9763, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), inverse( inverse( X ) ) ) ) ] )
% 1.72/2.08 , clause( 2715, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 X ) ), inverse( 'greatest_lower_bound'( X, identity ) ) ) ] )
% 1.72/2.08 , 0, clause( 9760, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 'least_upper_bound'( X, identity ) ), :=( Y, inverse( X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9764, [ =( 'least_upper_bound'( X, identity ), inverse( multiply(
% 1.72/2.08 inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 1.72/2.08 multiply( X, Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9763, [ =( 'least_upper_bound'( X, identity ), multiply(
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, identity ) ), inverse( inverse( X ) )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y,
% 1.72/2.08 'greatest_lower_bound'( X, identity ) )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9765, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , clause( 209, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 1.72/2.08 inverse( Y ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9764, [ =( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 multiply( inverse( X ), 'greatest_lower_bound'( X, identity ) ) ) ) ] )
% 1.72/2.08 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X,
% 1.72/2.08 identity ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9766, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , clause( 9765, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2778, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity )
% 1.72/2.08 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , clause( 9766, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 1.72/2.08 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9767, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ), multiply(
% 1.72/2.08 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , clause( 1602, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 1.72/2.08 'greatest_lower_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9768, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , clause( 2778, [ =( multiply( inverse( 'greatest_lower_bound'( X, identity
% 1.72/2.08 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9772, [ =( 'least_upper_bound'( multiply( identity, X ), identity )
% 1.72/2.08 , multiply( inverse( multiply( identity, 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ) ), multiply( identity, X ) ) ) ] )
% 1.72/2.08 , clause( 9767, [ =( 'greatest_lower_bound'( multiply( X, Y ), X ),
% 1.72/2.08 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9768, [ =( 'least_upper_bound'( X, identity ), multiply(
% 1.72/2.08 inverse( 'greatest_lower_bound'( X, identity ) ), X ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 1.72/2.08 1, [ :=( X, multiply( identity, X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9773, [ =( 'least_upper_bound'( multiply( identity, X ), identity )
% 1.72/2.08 , multiply( multiply( inverse( multiply( identity, 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ), identity ), X ) ) ] )
% 1.72/2.08 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.72/2.08 ), Z ) ) ] )
% 1.72/2.08 , 0, clause( 9772, [ =( 'least_upper_bound'( multiply( identity, X ),
% 1.72/2.08 identity ), multiply( inverse( multiply( identity, 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ), multiply( identity, X ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, inverse( multiply( identity,
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ) ), :=( Y, identity ), :=( Z, X
% 1.72/2.08 )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9774, [ =( 'least_upper_bound'( multiply( identity, X ), identity )
% 1.72/2.08 , multiply( inverse( 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , clause( 309, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, clause( 9773, [ =( 'least_upper_bound'( multiply( identity, X ),
% 1.72/2.08 identity ), multiply( multiply( inverse( multiply( identity,
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), identity ), X ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9775, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 1.72/2.08 , 0, clause( 9774, [ =( 'least_upper_bound'( multiply( identity, X ),
% 1.72/2.08 identity ), multiply( inverse( 'greatest_lower_bound'( identity, X ) ), X
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9776, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , clause( 9775, [ =( 'least_upper_bound'( X, identity ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2856, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , clause( 9776, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 1.72/2.08 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9778, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 1.72/2.08 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , clause( 157, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 1.72/2.08 , 'least_upper_bound'( Y, identity ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9787, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ) ] )
% 1.72/2.08 , clause( 2856, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 1.72/2.08 ) ), X ), 'least_upper_bound'( X, identity ) ) ] )
% 1.72/2.08 , 0, clause( 9778, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 1.72/2.08 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, X ) ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9788, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, identity ), identity ),
% 1.72/2.08 inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 246, [ =( 'least_upper_bound'( Y, inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ), 'least_upper_bound'( 'least_upper_bound'( Y, identity
% 1.72/2.08 ), inverse( X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9787, [ =( multiply( inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ) ] )
% 1.72/2.08 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X,
% 1.72/2.08 identity ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9789, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 30, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Y ),
% 1.72/2.08 'least_upper_bound'( X, Y ) ) ] )
% 1.72/2.08 , 0, clause( 9788, [ =( multiply( inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , X ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, identity ), identity ),
% 1.72/2.08 inverse( X ) ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 1.72/2.08 substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2858, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X )
% 1.72/2.08 ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 9789, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 1.72/2.08 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9792, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 1.72/2.08 , clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 1.72/2.08 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9794, [ =( 'least_upper_bound'( inverse( X ), X ),
% 1.72/2.08 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ), X
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , clause( 897, [ =( 'least_upper_bound'( inverse( X ),
% 1.72/2.08 'greatest_lower_bound'( X, identity ) ), inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9792, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 1.72/2.08 X ) ), :=( Y, X ), :=( Z, identity )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9796, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , clause( 9794, [ =( 'least_upper_bound'( inverse( X ), X ),
% 1.72/2.08 'least_upper_bound'( inverse( 'greatest_lower_bound'( identity, X ) ), X
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2897, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , clause( 9796, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9798, [ =( 'greatest_lower_bound'( Z, X ), 'greatest_lower_bound'(
% 1.72/2.08 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), Z ), X ) ) ] )
% 1.72/2.08 , clause( 82, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'(
% 1.72/2.08 'least_upper_bound'( Y, Z ), X ), Y ), 'greatest_lower_bound'( X, Y ) ) ]
% 1.72/2.08 )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9800, [ =( 'greatest_lower_bound'( inverse( X ), X ),
% 1.72/2.08 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ), X
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , clause( 888, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X,
% 1.72/2.08 identity ), inverse( X ) ), inverse( 'least_upper_bound'( identity, X ) )
% 1.72/2.08 ) ] )
% 1.72/2.08 , 0, clause( 9798, [ =( 'greatest_lower_bound'( Z, X ),
% 1.72/2.08 'greatest_lower_bound'( 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 1.72/2.08 ), Z ), X ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.72/2.08 :=( Y, identity ), :=( Z, inverse( X ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9802, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , clause( 9800, [ =( 'greatest_lower_bound'( inverse( X ), X ),
% 1.72/2.08 'greatest_lower_bound'( inverse( 'least_upper_bound'( identity, X ) ), X
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 2918, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , clause( 9802, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9804, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , clause( 228, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9807, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 1.72/2.08 , inverse( X ) ), inverse( 'greatest_lower_bound'( inverse( X ), X ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , clause( 2918, [ =( 'greatest_lower_bound'( inverse( 'least_upper_bound'(
% 1.72/2.08 identity, X ) ), X ), 'greatest_lower_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9804, [ =( 'least_upper_bound'( X, inverse( Y ) ), inverse(
% 1.72/2.08 'greatest_lower_bound'( inverse( X ), Y ) ) ) ] )
% 1.72/2.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 1.72/2.08 'least_upper_bound'( identity, X ) ), :=( Y, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9808, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 1.72/2.08 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 228, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 1.72/2.08 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 1.72/2.08 , 0, clause( 9807, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 1.72/2.08 , X ), inverse( X ) ), inverse( 'greatest_lower_bound'( inverse( X ), X )
% 1.72/2.08 ) ) ] )
% 1.72/2.08 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 1.72/2.08 :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 3884, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 1.72/2.08 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 9808, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 1.72/2.08 ), inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9811, [ =( 'least_upper_bound'( X, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( identity, X ), inverse( X ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , clause( 3884, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X
% 1.72/2.08 ), inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9814, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), 'least_upper_bound'( multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), identity ), inverse( multiply( X,
% 1.72/2.08 identity ) ) ) ) ] )
% 1.72/2.08 , clause( 2640, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), Y ) ) ] )
% 1.72/2.08 , 0, clause( 9811, [ =( 'least_upper_bound'( X, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( identity, X ), inverse( X ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 1.72/2.08 substitution( 1, [ :=( X, multiply( X, identity ) )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9818, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), 'least_upper_bound'( 'least_upper_bound'( X
% 1.72/2.08 , identity ), inverse( multiply( X, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9814, [ =( 'least_upper_bound'( multiply( X, identity ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), 'least_upper_bound'( multiply(
% 1.72/2.08 'least_upper_bound'( X, identity ), identity ), inverse( multiply( X,
% 1.72/2.08 identity ) ) ) ) ] )
% 1.72/2.08 , 0, 10, substitution( 0, [ :=( X, 'least_upper_bound'( X, identity ) )] )
% 1.72/2.08 , substitution( 1, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9831, [ =( 'least_upper_bound'( multiply( X, identity ), inverse(
% 1.72/2.08 multiply( X, identity ) ) ), 'least_upper_bound'( 'least_upper_bound'( X
% 1.72/2.08 , identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9818, [ =( 'least_upper_bound'( multiply( X, identity ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( multiply( X, identity ) ) )
% 1.72/2.08 ) ] )
% 1.72/2.08 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9833, [ =( 'least_upper_bound'( multiply( X, identity ), inverse( X
% 1.72/2.08 ) ), 'least_upper_bound'( 'least_upper_bound'( X, identity ), inverse( X
% 1.72/2.08 ) ) ) ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9831, [ =( 'least_upper_bound'( multiply( X, identity ),
% 1.72/2.08 inverse( multiply( X, identity ) ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9834, [ =( 'least_upper_bound'( X, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, identity ), inverse( X ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , clause( 153, [ =( multiply( X, identity ), X ) ] )
% 1.72/2.08 , 0, clause( 9833, [ =( 'least_upper_bound'( multiply( X, identity ),
% 1.72/2.08 inverse( X ) ), 'least_upper_bound'( 'least_upper_bound'( X, identity ),
% 1.72/2.08 inverse( X ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.72/2.08 ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9840, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 1.72/2.08 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 9834, [ =( 'least_upper_bound'( X, inverse( X ) ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( X, identity ), inverse( X ) ) )
% 1.72/2.08 ] )
% 1.72/2.08 , 0, substitution( 0, [ :=( X, X )] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 5703, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity )
% 1.72/2.08 , inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , clause( 9840, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9848, [ ~( =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, a ) ), a ), multiply( inverse( 'greatest_lower_bound'( identity
% 1.72/2.08 , a ) ), 'least_upper_bound'( a, identity ) ) ) ) ] )
% 1.72/2.08 , clause( 2682, [ =( multiply( 'least_upper_bound'( X, identity ), inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ) ), 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, X ) ), X ) ) ] )
% 1.72/2.08 , 0, clause( 254, [ ~( =( multiply( 'least_upper_bound'( a, identity ),
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, a ) ) ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9849, [ ~( =( 'least_upper_bound'( inverse( a ), a ), multiply(
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a
% 1.72/2.08 , identity ) ) ) ) ] )
% 1.72/2.08 , clause( 2897, [ =( 'least_upper_bound'( inverse( 'greatest_lower_bound'(
% 1.72/2.08 identity, X ) ), X ), 'least_upper_bound'( inverse( X ), X ) ) ] )
% 1.72/2.08 , 0, clause( 9848, [ ~( =( 'least_upper_bound'( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), a ), multiply( inverse(
% 1.72/2.08 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a, identity
% 1.72/2.08 ) ) ) ) ] )
% 1.72/2.08 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9850, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( a, identity ), inverse( a ) ) )
% 1.72/2.08 ) ] )
% 1.72/2.08 , clause( 2858, [ =( multiply( inverse( 'greatest_lower_bound'( identity, X
% 1.72/2.08 ) ), 'least_upper_bound'( X, identity ) ), 'least_upper_bound'(
% 1.72/2.08 'least_upper_bound'( X, identity ), inverse( X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9849, [ ~( =( 'least_upper_bound'( inverse( a ), a ), multiply(
% 1.72/2.08 inverse( 'greatest_lower_bound'( identity, a ) ), 'least_upper_bound'( a
% 1.72/2.08 , identity ) ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9851, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 1.72/2.08 , clause( 5703, [ =( 'least_upper_bound'( 'least_upper_bound'( X, identity
% 1.72/2.08 ), inverse( X ) ), 'least_upper_bound'( X, inverse( X ) ) ) ] )
% 1.72/2.08 , 0, clause( 9850, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( 'least_upper_bound'( a, identity ), inverse( a ) ) )
% 1.72/2.08 ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9852, [ ~( =( 'least_upper_bound'( a, inverse( a ) ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , clause( 9851, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 9116, [ ~( =( 'least_upper_bound'( a, inverse( a ) ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , clause( 9852, [ ~( =( 'least_upper_bound'( a, inverse( a ) ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqswap(
% 1.72/2.08 clause( 9853, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 1.72/2.08 , clause( 9116, [ ~( =( 'least_upper_bound'( a, inverse( a ) ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 paramod(
% 1.72/2.08 clause( 9855, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 1.72/2.08 ) ] )
% 1.72/2.08 , 0, clause( 9853, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( a, inverse( a ) ) ) ) ] )
% 1.72/2.08 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, inverse( a ) )] ),
% 1.72/2.08 substitution( 1, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 eqrefl(
% 1.72/2.08 clause( 9858, [] )
% 1.72/2.08 , clause( 9855, [ ~( =( 'least_upper_bound'( inverse( a ), a ),
% 1.72/2.08 'least_upper_bound'( inverse( a ), a ) ) ) ] )
% 1.72/2.08 , 0, substitution( 0, [] )).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 subsumption(
% 1.72/2.08 clause( 9117, [] )
% 1.72/2.08 , clause( 9858, [] )
% 1.72/2.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 end.
% 1.72/2.08
% 1.72/2.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.72/2.08
% 1.72/2.08 Memory use:
% 1.72/2.08
% 1.72/2.08 space for terms: 125599
% 1.72/2.08 space for clauses: 991328
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 clauses generated: 264584
% 1.72/2.08 clauses kept: 9118
% 1.72/2.08 clauses selected: 768
% 1.72/2.08 clauses deleted: 83
% 1.72/2.08 clauses inuse deleted: 9
% 1.72/2.08
% 1.72/2.08 subsentry: 16581
% 1.72/2.08 literals s-matched: 14420
% 1.72/2.08 literals matched: 14369
% 1.72/2.08 full subsumption: 0
% 1.72/2.08
% 1.72/2.08 checksum: -257588149
% 1.72/2.08
% 1.72/2.08
% 1.72/2.08 Bliksem ended
%------------------------------------------------------------------------------