TSTP Solution File: GRP170-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP170-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:45 EDT 2022
% Result : Unsatisfiable 2.16s 2.55s
% Output : Refutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP170-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 10:02:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.16/2.55 *** allocated 10000 integers for termspace/termends
% 2.16/2.55 *** allocated 10000 integers for clauses
% 2.16/2.55 *** allocated 10000 integers for justifications
% 2.16/2.55 Bliksem 1.12
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Automatic Strategy Selection
% 2.16/2.55
% 2.16/2.55 Clauses:
% 2.16/2.55 [
% 2.16/2.55 [ =( multiply( identity, X ), X ) ],
% 2.16/2.55 [ =( multiply( inverse( X ), X ), identity ) ],
% 2.16/2.55 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 2.16/2.55 ],
% 2.16/2.55 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 2.16/2.55 ,
% 2.16/2.55 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 2.16/2.55 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 2.16/2.55 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 2.16/2.55 [ =( 'least_upper_bound'( X, X ), X ) ],
% 2.16/2.55 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 2.16/2.55 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 2.16/2.55 ,
% 2.16/2.55 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 2.16/2.55 ,
% 2.16/2.55 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 2.16/2.55 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.16/2.55 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.16/2.55 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 2.16/2.55 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.16/2.55 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.16/2.55 [ =( 'least_upper_bound'( a, b ), b ) ],
% 2.16/2.55 [ =( 'least_upper_bound'( c, d ), d ) ],
% 2.16/2.55 [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b, d ) ),
% 2.16/2.55 multiply( a, c ) ) ) ]
% 2.16/2.55 ] .
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 percentage equality = 1.000000, percentage horn = 1.000000
% 2.16/2.55 This is a pure equality problem
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Options Used:
% 2.16/2.55
% 2.16/2.55 useres = 1
% 2.16/2.55 useparamod = 1
% 2.16/2.55 useeqrefl = 1
% 2.16/2.55 useeqfact = 1
% 2.16/2.55 usefactor = 1
% 2.16/2.55 usesimpsplitting = 0
% 2.16/2.55 usesimpdemod = 5
% 2.16/2.55 usesimpres = 3
% 2.16/2.55
% 2.16/2.55 resimpinuse = 1000
% 2.16/2.55 resimpclauses = 20000
% 2.16/2.55 substype = eqrewr
% 2.16/2.55 backwardsubs = 1
% 2.16/2.55 selectoldest = 5
% 2.16/2.55
% 2.16/2.55 litorderings [0] = split
% 2.16/2.55 litorderings [1] = extend the termordering, first sorting on arguments
% 2.16/2.55
% 2.16/2.55 termordering = kbo
% 2.16/2.55
% 2.16/2.55 litapriori = 0
% 2.16/2.55 termapriori = 1
% 2.16/2.55 litaposteriori = 0
% 2.16/2.55 termaposteriori = 0
% 2.16/2.55 demodaposteriori = 0
% 2.16/2.55 ordereqreflfact = 0
% 2.16/2.55
% 2.16/2.55 litselect = negord
% 2.16/2.55
% 2.16/2.55 maxweight = 15
% 2.16/2.55 maxdepth = 30000
% 2.16/2.55 maxlength = 115
% 2.16/2.55 maxnrvars = 195
% 2.16/2.55 excuselevel = 1
% 2.16/2.55 increasemaxweight = 1
% 2.16/2.55
% 2.16/2.55 maxselected = 10000000
% 2.16/2.55 maxnrclauses = 10000000
% 2.16/2.55
% 2.16/2.55 showgenerated = 0
% 2.16/2.55 showkept = 0
% 2.16/2.55 showselected = 0
% 2.16/2.55 showdeleted = 0
% 2.16/2.55 showresimp = 1
% 2.16/2.55 showstatus = 2000
% 2.16/2.55
% 2.16/2.55 prologoutput = 1
% 2.16/2.55 nrgoals = 5000000
% 2.16/2.55 totalproof = 1
% 2.16/2.55
% 2.16/2.55 Symbols occurring in the translation:
% 2.16/2.55
% 2.16/2.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.16/2.55 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 2.16/2.55 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 2.16/2.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.16/2.55 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.16/2.55 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.16/2.55 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.16/2.55 'greatest_lower_bound' [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 2.16/2.55 'least_upper_bound' [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.16/2.55 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.16/2.55 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 2.16/2.55 c [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.16/2.55 d [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Starting Search:
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 29492
% 2.16/2.55 Kept: 2009
% 2.16/2.55 Inuse: 263
% 2.16/2.55 Deleted: 17
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 61539
% 2.16/2.55 Kept: 4020
% 2.16/2.55 Inuse: 471
% 2.16/2.55 Deleted: 30
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 106531
% 2.16/2.55 Kept: 6022
% 2.16/2.55 Inuse: 681
% 2.16/2.55 Deleted: 46
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 171286
% 2.16/2.55 Kept: 8063
% 2.16/2.55 Inuse: 816
% 2.16/2.55 Deleted: 46
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 291582
% 2.16/2.55 Kept: 10074
% 2.16/2.55 Inuse: 1016
% 2.16/2.55 Deleted: 59
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 376764
% 2.16/2.55 Kept: 12082
% 2.16/2.55 Inuse: 1182
% 2.16/2.55 Deleted: 83
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55 Done
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 Intermediate Status:
% 2.16/2.55 Generated: 436473
% 2.16/2.55 Kept: 14085
% 2.16/2.55 Inuse: 1261
% 2.16/2.55 Deleted: 83
% 2.16/2.55 Deletedinuse: 6
% 2.16/2.55
% 2.16/2.55 Resimplifying inuse:
% 2.16/2.55
% 2.16/2.55 Bliksems!, er is een bewijs:
% 2.16/2.55 % SZS status Unsatisfiable
% 2.16/2.55 % SZS output start Refutation
% 2.16/2.55
% 2.16/2.55 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.16/2.55 , Z ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.16/2.55 X ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.16/2.55 ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.16/2.55 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.16/2.55 ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.16/2.55 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.16/2.55 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.16/2.55 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 15, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 16, [ =( 'least_upper_bound'( c, d ), d ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b,
% 2.16/2.55 d ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 18, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 19, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.16/2.55 , identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.16/2.55 identity ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.16/2.55 ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 25, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 27, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), a ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.16/2.55 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 2.16/2.55 'greatest_lower_bound'( Y, Z ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 75, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.16/2.55 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 76, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 2.16/2.55 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 124, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 2.16/2.55 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 139, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.16/2.55 , c ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 151, [ =( 'least_upper_bound'( 'least_upper_bound'( a, X ), b ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.16/2.55 ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.16/2.55 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 177, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ), b )
% 2.16/2.55 , b ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 185, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a
% 2.16/2.55 ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 373, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 2.16/2.55 ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 398, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 2.16/2.55 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 2.16/2.55 ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.16/2.55 ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 404, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.16/2.55 X, Y ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 405, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.16/2.55 Y ), X ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 413, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.55 inverse( X ) ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 727, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 2.16/2.55 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1260, [ =( 'least_upper_bound'( identity, multiply( inverse( d ), c
% 2.16/2.55 ) ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1350, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.16/2.55 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1485, [ =( 'greatest_lower_bound'( identity, multiply( inverse( c )
% 2.16/2.55 , d ) ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1526, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.55 'greatest_lower_bound'( X, Y ) ), X ) ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 1581, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.55 identity ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3030, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( c )
% 2.16/2.55 , d ), X ), X ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3205, [ =( 'greatest_lower_bound'( inverse( c ), inverse( d ) ),
% 2.16/2.55 inverse( d ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3213, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.16/2.55 c ) ) ), identity ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3252, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.16/2.55 inverse( c ) ) ), X ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 3292, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.55 inverse( c ) ), a ), a ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 14139, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.16/2.55 c ) ), multiply( a, c ) ) ] )
% 2.16/2.55 .
% 2.16/2.55 clause( 14336, [] )
% 2.16/2.55 .
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 % SZS output end Refutation
% 2.16/2.55 found a proof!
% 2.16/2.55
% 2.16/2.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.16/2.55
% 2.16/2.55 initialclauses(
% 2.16/2.55 [ clause( 14338, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , clause( 14339, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , clause( 14340, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.16/2.55 multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14341, [ =( 'greatest_lower_bound'( X, Y ),
% 2.16/2.55 'greatest_lower_bound'( Y, X ) ) ] )
% 2.16/2.55 , clause( 14342, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.16/2.55 X ) ) ] )
% 2.16/2.55 , clause( 14343, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.16/2.55 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.16/2.55 )
% 2.16/2.55 , clause( 14344, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.16/2.55 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14345, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 2.16/2.55 , clause( 14346, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.16/2.55 , clause( 14347, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , clause( 14348, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , clause( 14349, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , clause( 14350, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , clause( 14351, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14352, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14353, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 , clause( 14354, [ =( 'least_upper_bound'( c, d ), d ) ] )
% 2.16/2.55 , clause( 14355, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply(
% 2.16/2.55 b, d ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 ] ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , clause( 14338, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , clause( 14339, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14361, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 2.16/2.55 , Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14340, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.16/2.55 multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.16/2.55 , Z ) ) ] )
% 2.16/2.55 , clause( 14361, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 2.16/2.55 X, Y ), Z ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.16/2.55 X ) ) ] )
% 2.16/2.55 , clause( 14341, [ =( 'greatest_lower_bound'( X, Y ),
% 2.16/2.55 'greatest_lower_bound'( Y, X ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.16/2.55 ] )
% 2.16/2.55 , clause( 14342, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.16/2.55 X ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.16/2.55 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14343, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.16/2.55 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.16/2.55 )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14344, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.16/2.55 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.16/2.55 ) ] )
% 2.16/2.55 , clause( 14347, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 , clause( 14348, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14403, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.16/2.55 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14349, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.16/2.55 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14403, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 2.16/2.55 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14414, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 2.16/2.55 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14350, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.16/2.55 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 14414, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 2.16/2.55 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14427, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 2.16/2.55 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14352, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.16/2.55 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , clause( 14427, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 2.16/2.55 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 15, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 , clause( 14353, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 16, [ =( 'least_upper_bound'( c, d ), d ) ] )
% 2.16/2.55 , clause( 14354, [ =( 'least_upper_bound'( c, d ), d ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b,
% 2.16/2.55 d ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , clause( 14355, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply(
% 2.16/2.55 b, d ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14473, [ =( b, 'least_upper_bound'( a, b ) ) ] )
% 2.16/2.55 , clause( 15, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14474, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.16/2.55 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, clause( 14473, [ =( b, 'least_upper_bound'( a, b ) ) ] )
% 2.16/2.55 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14477, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.16/2.55 , clause( 14474, [ =( b, 'least_upper_bound'( b, a ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 18, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.16/2.55 , clause( 14477, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14478, [ =( d, 'least_upper_bound'( c, d ) ) ] )
% 2.16/2.55 , clause( 16, [ =( 'least_upper_bound'( c, d ), d ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14479, [ =( d, 'least_upper_bound'( d, c ) ) ] )
% 2.16/2.55 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, clause( 14478, [ =( d, 'least_upper_bound'( c, d ) ) ] )
% 2.16/2.55 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, d )] ), substitution( 1, [] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14482, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.16/2.55 , clause( 14479, [ =( d, 'least_upper_bound'( d, c ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 19, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.16/2.55 , clause( 14482, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14483, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.16/2.55 Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.16/2.55 ), Z ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14486, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.16/2.55 ), identity ) ] )
% 2.16/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , 0, clause( 14483, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.16/2.55 multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 2.16/2.55 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.16/2.55 , identity ) ] )
% 2.16/2.55 , clause( 14486, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 2.16/2.55 , Y ), identity ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14492, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.16/2.55 Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.16/2.55 ), Z ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14497, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.16/2.55 , identity ) ) ] )
% 2.16/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , 0, clause( 14492, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.16/2.55 multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.55 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.16/2.55 identity ) ) ] )
% 2.16/2.55 , clause( 14497, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.16/2.55 X, identity ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14502, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.16/2.55 Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.16/2.55 ), Z ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14507, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 2.16/2.55 ) ) ] )
% 2.16/2.55 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , 0, clause( 14502, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.16/2.55 multiply( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.55 :=( Y, identity ), :=( Z, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.16/2.55 ] )
% 2.16/2.55 , clause( 14507, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 2.16/2.55 Y ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14512, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14513, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , 0, clause( 14512, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.16/2.55 X, Y ) ) ) ] )
% 2.16/2.55 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 2.16/2.55 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14516, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 2.16/2.55 ), X ) ] )
% 2.16/2.55 , clause( 14513, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 2.16/2.55 ), X ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 , clause( 14516, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.16/2.55 X ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14517, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14518, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, clause( 14517, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.16/2.55 X, Y ) ) ) ] )
% 2.16/2.55 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.55 :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14521, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 2.16/2.55 ), X ) ] )
% 2.16/2.55 , clause( 14518, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.16/2.55 , X ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 , clause( 14521, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14523, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14524, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.16/2.55 , clause( 15, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.55 , 0, clause( 14523, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.16/2.55 X, Y ) ) ) ] )
% 2.16/2.55 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14525, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.16/2.55 , clause( 14524, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 25, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.16/2.55 , clause( 14525, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14526, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.16/2.55 , clause( 25, [ =( 'greatest_lower_bound'( a, b ), a ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14527, [ =( a, 'greatest_lower_bound'( b, a ) ) ] )
% 2.16/2.55 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , 0, clause( 14526, [ =( a, 'greatest_lower_bound'( a, b ) ) ] )
% 2.16/2.55 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14530, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.16/2.55 , clause( 14527, [ =( a, 'greatest_lower_bound'( b, a ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 27, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.16/2.55 , clause( 14530, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14532, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.16/2.55 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14534, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), a ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , clause( 18, [ =( 'least_upper_bound'( b, a ), b ) ] )
% 2.16/2.55 , 0, clause( 14532, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.16/2.55 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ),
% 2.16/2.55 :=( Z, a )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), a ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , clause( 14534, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), a )
% 2.16/2.55 , 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14538, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14541, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.16/2.55 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 2.16/2.55 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, clause( 14538, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.16/2.55 Y, X ) ) ) ] )
% 2.16/2.55 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.55 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14542, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.16/2.55 , X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 , clause( 14541, [ =( 'greatest_lower_bound'( X, Y ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), X
% 2.16/2.55 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 , clause( 14542, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 2.16/2.55 ), X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14543, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14544, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , 0, clause( 14543, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.16/2.55 X, Y ) ) ) ] )
% 2.16/2.55 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.55 :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14547, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 2.16/2.55 ), X ) ] )
% 2.16/2.55 , clause( 14544, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 2.16/2.55 , X ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 , clause( 14547, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.16/2.55 ) ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14549, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14550, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.55 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.16/2.55 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 2.16/2.55 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.16/2.55 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , 0, clause( 14549, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.16/2.55 Y, X ) ) ) ] )
% 2.16/2.55 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.16/2.55 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Z )] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14551, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 2.16/2.55 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 , clause( 14550, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.55 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.16/2.55 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 2.16/2.55 'greatest_lower_bound'( Y, Z ) ) ] )
% 2.16/2.55 , clause( 14551, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.55 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ),
% 2.16/2.55 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 2.16/2.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14552, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 2.16/2.55 ) ) ) ] )
% 2.16/2.55 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.16/2.55 , X ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14553, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, clause( 14552, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.16/2.55 Y, X ) ) ) ] )
% 2.16/2.55 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 2.16/2.55 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14556, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 2.16/2.55 ), X ) ] )
% 2.16/2.55 , clause( 14553, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X
% 2.16/2.55 ), X ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 2.16/2.55 X ) ] )
% 2.16/2.55 , clause( 14556, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 2.16/2.55 X ), X ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14558, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.16/2.55 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14560, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.16/2.55 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.16/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , 0, clause( 14558, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.16/2.55 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14563, [ =( 'least_upper_bound'( identity, multiply( inverse( X ),
% 2.16/2.55 Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.16/2.55 , clause( 14560, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 2.16/2.55 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 75, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 2.16/2.55 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.16/2.55 , clause( 14563, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 2.16/2.55 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14566, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.16/2.55 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14569, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.16/2.55 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 2.16/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , 0, clause( 14566, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.55 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.16/2.55 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14572, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 2.16/2.55 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.16/2.55 , clause( 14569, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 2.16/2.55 , 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 76, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ), identity
% 2.16/2.55 ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.16/2.55 , clause( 14572, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 2.16/2.55 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14574, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.16/2.55 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.16/2.55 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14576, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 2.16/2.55 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , 0, clause( 14574, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.16/2.55 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.16/2.55 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.55 :=( Y, Y ), :=( Z, identity )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14578, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ), multiply(
% 2.16/2.55 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 2.16/2.55 , clause( 14576, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y )
% 2.16/2.55 , 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 124, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 2.16/2.55 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 2.16/2.55 , clause( 14578, [ =( 'greatest_lower_bound'( multiply( X, Y ), Y ),
% 2.16/2.55 multiply( 'greatest_lower_bound'( X, identity ), Y ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.55 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14579, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.16/2.55 a, c ), multiply( b, d ) ) ) ) ] )
% 2.16/2.55 , clause( 17, [ ~( =( 'greatest_lower_bound'( multiply( a, c ), multiply( b
% 2.16/2.55 , d ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14580, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.16/2.55 b, d ), multiply( a, c ) ) ) ) ] )
% 2.16/2.55 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.16/2.55 , X ) ) ] )
% 2.16/2.55 , 0, clause( 14579, [ ~( =( multiply( a, c ), 'greatest_lower_bound'(
% 2.16/2.55 multiply( a, c ), multiply( b, d ) ) ) ) ] )
% 2.16/2.55 , 0, 5, substitution( 0, [ :=( X, multiply( a, c ) ), :=( Y, multiply( b, d
% 2.16/2.55 ) )] ), substitution( 1, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14583, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.16/2.55 a, c ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , clause( 14580, [ ~( =( multiply( a, c ), 'greatest_lower_bound'( multiply(
% 2.16/2.55 b, d ), multiply( a, c ) ) ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 139, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.16/2.55 , c ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , clause( 14583, [ ~( =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.16/2.55 a, c ) ), multiply( a, c ) ) ) ] )
% 2.16/2.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14584, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.55 'least_upper_bound'( X, b ), a ) ) ] )
% 2.16/2.55 , clause( 49, [ =( 'least_upper_bound'( 'least_upper_bound'( X, b ), a ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14588, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'( a,
% 2.16/2.55 'least_upper_bound'( X, b ) ) ) ] )
% 2.16/2.55 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, clause( 14584, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.55 'least_upper_bound'( X, b ), a ) ) ] )
% 2.16/2.55 , 0, 4, substitution( 0, [ :=( X, 'least_upper_bound'( X, b ) ), :=( Y, a )] )
% 2.16/2.55 , substitution( 1, [ :=( X, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14594, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.55 'least_upper_bound'( a, X ), b ) ) ] )
% 2.16/2.55 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.16/2.55 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.16/2.55 , 0, clause( 14588, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.55 a, 'least_upper_bound'( X, b ) ) ) ] )
% 2.16/2.55 , 0, 4, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, b )] ),
% 2.16/2.55 substitution( 1, [ :=( X, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14595, [ =( 'least_upper_bound'( 'least_upper_bound'( a, X ), b ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , clause( 14594, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.55 'least_upper_bound'( a, X ), b ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 151, [ =( 'least_upper_bound'( 'least_upper_bound'( a, X ), b ),
% 2.16/2.55 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , clause( 14595, [ =( 'least_upper_bound'( 'least_upper_bound'( a, X ), b )
% 2.16/2.55 , 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14597, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.16/2.55 Y ) ), Y ) ) ] )
% 2.16/2.55 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.16/2.55 , identity ) ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14600, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 2.16/2.55 identity, X ) ) ] )
% 2.16/2.55 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.55 , 0, clause( 14597, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.16/2.55 inverse( Y ) ), Y ) ) ] )
% 2.16/2.55 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.16/2.55 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14601, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.55 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.55 , 0, clause( 14600, [ =( multiply( inverse( inverse( X ) ), identity ),
% 2.16/2.55 multiply( identity, X ) ) ] )
% 2.16/2.55 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.16/2.55 ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.55 , clause( 14601, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 2.16/2.55 )
% 2.16/2.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 eqswap(
% 2.16/2.55 clause( 14604, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 2.16/2.55 ) ) ] )
% 2.16/2.55 , clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 2.16/2.55 ) ] )
% 2.16/2.55 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 paramod(
% 2.16/2.55 clause( 14607, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.55 ) ) ] )
% 2.16/2.55 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.55 , 0, clause( 14604, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 2.16/2.55 ), Y ) ) ] )
% 2.16/2.55 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.16/2.55 inverse( X ) ) ), :=( Y, Y )] )).
% 2.16/2.55
% 2.16/2.55
% 2.16/2.55 subsumption(
% 2.16/2.55 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.16/2.55 ) ] )
% 2.16/2.55 , clause( 14607, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 2.16/2.55 Y ) ) ] )
% 2.16/2.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14614, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.56 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.56 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.16/2.56 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14617, [ =( multiply( inverse( inverse( X ) ),
% 2.16/2.56 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 2.16/2.56 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14614, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.16/2.56 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.16/2.56 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14627, [ =( multiply( inverse( inverse( X ) ),
% 2.16/2.56 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( X, Y ) ) ) ] )
% 2.16/2.56 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14617, [ =( multiply( inverse( inverse( X ) ),
% 2.16/2.56 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 2.16/2.56 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14629, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.16/2.56 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.16/2.56 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14627, [ =( multiply( inverse( inverse( X ) ),
% 2.16/2.56 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( X, Y ) ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 2.16/2.56 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14630, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.16/2.56 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.16/2.56 , clause( 14629, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) )
% 2.16/2.56 , 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.16/2.56 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.16/2.56 , clause( 14630, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 2.16/2.56 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14632, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.56 'least_upper_bound'( a, X ), b ) ) ] )
% 2.16/2.56 , clause( 151, [ =( 'least_upper_bound'( 'least_upper_bound'( a, X ), b ),
% 2.16/2.56 'least_upper_bound'( X, b ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ), b
% 2.16/2.56 ), 'least_upper_bound'( a, b ) ) ] )
% 2.16/2.56 , clause( 60, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , 0, clause( 14632, [ =( 'least_upper_bound'( X, b ), 'least_upper_bound'(
% 2.16/2.56 'least_upper_bound'( a, X ), b ) ) ] )
% 2.16/2.56 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 2.16/2.56 :=( X, 'greatest_lower_bound'( X, a ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14635, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ), b
% 2.16/2.56 ), b ) ] )
% 2.16/2.56 , clause( 15, [ =( 'least_upper_bound'( a, b ), b ) ] )
% 2.16/2.56 , 0, clause( 14634, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a
% 2.16/2.56 ), b ), 'least_upper_bound'( a, b ) ) ] )
% 2.16/2.56 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 177, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ), b )
% 2.16/2.56 , b ) ] )
% 2.16/2.56 , clause( 14635, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ),
% 2.16/2.56 b ), b ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14638, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.16/2.56 , X ) ) ] )
% 2.16/2.56 , clause( 23, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14641, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.16/2.56 b, 'greatest_lower_bound'( X, a ) ) ) ] )
% 2.16/2.56 , clause( 177, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, a ), b
% 2.16/2.56 ), b ) ] )
% 2.16/2.56 , 0, clause( 14638, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X
% 2.16/2.56 , Y ), X ) ) ] )
% 2.16/2.56 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.16/2.56 'greatest_lower_bound'( X, a ) ), :=( Y, b )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14642, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.16/2.56 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.16/2.56 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.16/2.56 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.56 , 0, clause( 14641, [ =( 'greatest_lower_bound'( X, a ),
% 2.16/2.56 'greatest_lower_bound'( b, 'greatest_lower_bound'( X, a ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, a )] ),
% 2.16/2.56 substitution( 1, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14643, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X )
% 2.16/2.56 , a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.16/2.56 , clause( 14642, [ =( 'greatest_lower_bound'( X, a ),
% 2.16/2.56 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 185, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a
% 2.16/2.56 ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.16/2.56 , clause( 14643, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X
% 2.16/2.56 ), a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14644, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14647, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , clause( 165, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14644, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 2.16/2.56 ), Y ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.56 :=( Y, identity )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , clause( 14647, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14652, [ =( X, multiply( X, identity ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14655, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 2.16/2.56 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14652, [ =( X, multiply( X, identity ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.16/2.56 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14656, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14655, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 2.16/2.56 ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 373, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , clause( 14656, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14659, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.16/2.56 Y ) ), Y ) ) ] )
% 2.16/2.56 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.16/2.56 , identity ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14661, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 2.16/2.56 inverse( Y ) ) ) ] )
% 2.16/2.56 , clause( 373, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , 0, clause( 14659, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.16/2.56 inverse( Y ) ), Y ) ) ] )
% 2.16/2.56 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.56 :=( Y, inverse( Y ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14662, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14661, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 2.16/2.56 ), inverse( Y ) ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.56 :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14663, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.16/2.56 , clause( 14662, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.56 , clause( 14663, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14665, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.16/2.56 , clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14670, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 2.16/2.56 identity, inverse( Y ) ) ) ] )
% 2.16/2.56 , clause( 20, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.16/2.56 ), identity ) ] )
% 2.16/2.56 , 0, clause( 14665, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.16/2.56 )
% 2.16/2.56 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14671, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.56 , 0, clause( 14670, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 2.16/2.56 multiply( identity, inverse( Y ) ) ) ] )
% 2.16/2.56 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 2.16/2.56 :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 2.16/2.56 ) ] )
% 2.16/2.56 , clause( 14671, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 2.16/2.56 Y ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14674, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.16/2.56 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.16/2.56 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.16/2.56 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14675, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 2.16/2.56 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.56 , 0, clause( 14674, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.16/2.56 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.16/2.56 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.16/2.56 :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 398, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ),
% 2.16/2.56 inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) ) )
% 2.16/2.56 ) ] )
% 2.16/2.56 , clause( 14675, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z
% 2.16/2.56 ), inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y )
% 2.16/2.56 ) ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.16/2.56 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14679, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14683, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.16/2.56 inverse( multiply( X, Y ) ) ) ) ] )
% 2.16/2.56 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14679, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.16/2.56 ), X ) ) ] )
% 2.16/2.56 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14684, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14683, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.16/2.56 inverse( multiply( X, Y ) ) ) ) ] )
% 2.16/2.56 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 2.16/2.56 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14685, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 14684, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 2.16/2.56 ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.16/2.56 ) ] )
% 2.16/2.56 , clause( 14685, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 2.16/2.56 X ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14687, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.16/2.56 , clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14690, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14687, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.16/2.56 )
% 2.16/2.56 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14691, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.16/2.56 multiply( X, Y ) ) ) ] )
% 2.16/2.56 , clause( 14690, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 404, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.16/2.56 X, Y ) ) ) ] )
% 2.16/2.56 , clause( 14691, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.16/2.56 multiply( X, Y ) ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14693, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.16/2.56 Y ) ), Y ) ) ] )
% 2.16/2.56 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.16/2.56 , identity ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14699, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 2.16/2.56 identity ), multiply( inverse( Y ), X ) ) ] )
% 2.16/2.56 , clause( 397, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, clause( 14693, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.16/2.56 inverse( Y ) ), Y ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 2.16/2.56 substitution( 1, [ :=( X, inverse( multiply( inverse( X ), Y ) ) ), :=( Y
% 2.16/2.56 , X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14700, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.16/2.56 inverse( Y ), X ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14699, [ =( multiply( inverse( multiply( inverse( X ), Y ) ),
% 2.16/2.56 identity ), multiply( inverse( Y ), X ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, inverse( multiply( inverse( X ), Y ) ) )] )
% 2.16/2.56 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 405, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.16/2.56 Y ), X ) ) ] )
% 2.16/2.56 , clause( 14700, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.16/2.56 inverse( Y ), X ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14703, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 403, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14708, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.56 inverse( multiply( X, identity ) ) ) ) ] )
% 2.16/2.56 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.16/2.56 , identity ) ) ] )
% 2.16/2.56 , 0, clause( 14703, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 2.16/2.56 ) ) ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.16/2.56 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14709, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14708, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply(
% 2.16/2.56 Y, inverse( multiply( X, identity ) ) ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.16/2.56 :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 413, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , clause( 14709, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14712, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.56 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 2.16/2.56 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 2.16/2.56 , clause( 63, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ),
% 2.16/2.56 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ),
% 2.16/2.56 'greatest_lower_bound'( Y, Z ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14715, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.56 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.16/2.56 , clause( 57, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 X ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.56 , 0, clause( 14712, [ =( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ) ) ) ] )
% 2.16/2.56 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.16/2.56 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14721, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.56 , clause( 14715, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.56 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 727, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.16/2.56 , clause( 14721, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'greatest_lower_bound'( Y, X ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14724, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.16/2.56 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.16/2.56 , clause( 75, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 2.16/2.56 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14726, [ =( multiply( inverse( d ), d ), 'least_upper_bound'(
% 2.16/2.56 identity, multiply( inverse( d ), c ) ) ) ] )
% 2.16/2.56 , clause( 19, [ =( 'least_upper_bound'( d, c ), d ) ] )
% 2.16/2.56 , 0, clause( 14724, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 2.16/2.56 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14727, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.16/2.56 inverse( d ), c ) ) ) ] )
% 2.16/2.56 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.16/2.56 , 0, clause( 14726, [ =( multiply( inverse( d ), d ), 'least_upper_bound'(
% 2.16/2.56 identity, multiply( inverse( d ), c ) ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14728, [ =( 'least_upper_bound'( identity, multiply( inverse( d ),
% 2.16/2.56 c ) ), identity ) ] )
% 2.16/2.56 , clause( 14727, [ =( identity, 'least_upper_bound'( identity, multiply(
% 2.16/2.56 inverse( d ), c ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1260, [ =( 'least_upper_bound'( identity, multiply( inverse( d ), c
% 2.16/2.56 ) ), identity ) ] )
% 2.16/2.56 , clause( 14728, [ =( 'least_upper_bound'( identity, multiply( inverse( d )
% 2.16/2.56 , c ) ), identity ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14730, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.16/2.56 ) ) ) ] )
% 2.16/2.56 , clause( 24, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14731, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , clause( 76, [ =( 'least_upper_bound'( multiply( inverse( X ), Y ),
% 2.16/2.56 identity ), multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.16/2.56 , 0, clause( 14730, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.16/2.56 Y, X ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, identity ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14732, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.16/2.56 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.56 , clause( 14731, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1350, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X )
% 2.16/2.56 , 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.56 , clause( 14732, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 X ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14734, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , clause( 1350, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.16/2.56 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14737, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( multiply( inverse( d ), c ) ), identity ) ) ) ] )
% 2.16/2.56 , clause( 1260, [ =( 'least_upper_bound'( identity, multiply( inverse( d )
% 2.16/2.56 , c ) ), identity ) ] )
% 2.16/2.56 , 0, clause( 14734, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 2.16/2.56 d ), c ) ), :=( Y, identity )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14738, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 2.16/2.56 multiply( inverse( d ), c ) ) ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14737, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 multiply( inverse( multiply( inverse( d ), c ) ), identity ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, inverse( multiply( inverse( d ), c ) ) )] )
% 2.16/2.56 , substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14739, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( c ), d ) ) ) ] )
% 2.16/2.56 , clause( 405, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.16/2.56 inverse( Y ), X ) ) ] )
% 2.16/2.56 , 0, clause( 14738, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 inverse( multiply( inverse( d ), c ) ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, d ), :=( Y, c )] ), substitution( 1, [] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14740, [ =( 'greatest_lower_bound'( identity, multiply( inverse( c
% 2.16/2.56 ), d ) ), identity ) ] )
% 2.16/2.56 , clause( 14739, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( c ), d ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1485, [ =( 'greatest_lower_bound'( identity, multiply( inverse( c )
% 2.16/2.56 , d ) ), identity ) ] )
% 2.16/2.56 , clause( 14740, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 c ), d ) ), identity ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14742, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , clause( 1350, [ =( 'greatest_lower_bound'( identity, multiply( inverse( X
% 2.16/2.56 ), 'least_upper_bound'( Y, X ) ) ), identity ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14745, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ) ] )
% 2.16/2.56 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , 0, clause( 14742, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.16/2.56 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14746, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), X ) ), identity ) ] )
% 2.16/2.56 , clause( 14745, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1526, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), X ) ), identity ) ] )
% 2.16/2.56 , clause( 14746, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), X ) ), identity ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.16/2.56 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14748, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 2.16/2.56 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.16/2.56 , clause( 727, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14752, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.56 identity ), 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 2.16/2.56 inverse( c ), d ), identity ), identity ) ) ] )
% 2.16/2.56 , clause( 1485, [ =( 'greatest_lower_bound'( identity, multiply( inverse( c
% 2.16/2.56 ), d ) ), identity ) ] )
% 2.16/2.56 , 0, clause( 14748, [ =( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.16/2.56 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.16/2.56 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 2.16/2.56 c ), d ) ), :=( Y, identity )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14754, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.56 identity ), identity ) ] )
% 2.16/2.56 , clause( 64, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 2.16/2.56 , X ) ] )
% 2.16/2.56 , 0, clause( 14752, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d
% 2.16/2.56 ), identity ), 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 2.16/2.56 inverse( c ), d ), identity ), identity ) ) ] )
% 2.16/2.56 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( c )
% 2.16/2.56 , d ) )] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 1581, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.56 identity ), identity ) ] )
% 2.16/2.56 , clause( 14754, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.56 identity ), identity ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14757, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y ),
% 2.16/2.56 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 2.16/2.56 , clause( 124, [ =( 'greatest_lower_bound'( multiply( Y, X ), X ), multiply(
% 2.16/2.56 'greatest_lower_bound'( Y, identity ), X ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14759, [ =( multiply( identity, X ), 'greatest_lower_bound'(
% 2.16/2.56 multiply( multiply( inverse( c ), d ), X ), X ) ) ] )
% 2.16/2.56 , clause( 1581, [ =( 'greatest_lower_bound'( multiply( inverse( c ), d ),
% 2.16/2.56 identity ), identity ) ] )
% 2.16/2.56 , 0, clause( 14757, [ =( multiply( 'greatest_lower_bound'( X, identity ), Y
% 2.16/2.56 ), 'greatest_lower_bound'( multiply( X, Y ), Y ) ) ] )
% 2.16/2.56 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 2.16/2.56 c ), d ) ), :=( Y, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14760, [ =( X, 'greatest_lower_bound'( multiply( multiply( inverse(
% 2.16/2.56 c ), d ), X ), X ) ) ] )
% 2.16/2.56 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.16/2.56 , 0, clause( 14759, [ =( multiply( identity, X ), 'greatest_lower_bound'(
% 2.16/2.56 multiply( multiply( inverse( c ), d ), X ), X ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14761, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( c
% 2.16/2.56 ), d ), X ), X ), X ) ] )
% 2.16/2.56 , clause( 14760, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 2.16/2.56 inverse( c ), d ), X ), X ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 3030, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( c )
% 2.16/2.56 , d ), X ), X ), X ) ] )
% 2.16/2.56 , clause( 14761, [ =( 'greatest_lower_bound'( multiply( multiply( inverse(
% 2.16/2.56 c ), d ), X ), X ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14763, [ =( X, 'greatest_lower_bound'( multiply( multiply( inverse(
% 2.16/2.56 c ), d ), X ), X ) ) ] )
% 2.16/2.56 , clause( 3030, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( c
% 2.16/2.56 ), d ), X ), X ), X ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14764, [ =( inverse( d ), 'greatest_lower_bound'( inverse( c ),
% 2.16/2.56 inverse( d ) ) ) ] )
% 2.16/2.56 , clause( 379, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.16/2.56 , 0, clause( 14763, [ =( X, 'greatest_lower_bound'( multiply( multiply(
% 2.16/2.56 inverse( c ), d ), X ), X ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, d ), :=( Y, inverse( c ) )] ),
% 2.16/2.56 substitution( 1, [ :=( X, inverse( d ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14765, [ =( 'greatest_lower_bound'( inverse( c ), inverse( d ) ),
% 2.16/2.56 inverse( d ) ) ] )
% 2.16/2.56 , clause( 14764, [ =( inverse( d ), 'greatest_lower_bound'( inverse( c ),
% 2.16/2.56 inverse( d ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 3205, [ =( 'greatest_lower_bound'( inverse( c ), inverse( d ) ),
% 2.16/2.56 inverse( d ) ) ] )
% 2.16/2.56 , clause( 14765, [ =( 'greatest_lower_bound'( inverse( c ), inverse( d ) )
% 2.16/2.56 , inverse( d ) ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14767, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ) ] )
% 2.16/2.56 , clause( 1526, [ =( 'greatest_lower_bound'( identity, multiply( inverse(
% 2.16/2.56 'greatest_lower_bound'( X, Y ) ), X ) ), identity ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14770, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 inverse( inverse( d ) ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , clause( 3205, [ =( 'greatest_lower_bound'( inverse( c ), inverse( d ) ),
% 2.16/2.56 inverse( d ) ) ] )
% 2.16/2.56 , 0, clause( 14767, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 multiply( inverse( 'greatest_lower_bound'( X, Y ) ), X ) ) ) ] )
% 2.16/2.56 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 2.16/2.56 :=( Y, inverse( d ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14771, [ =( identity, 'greatest_lower_bound'( identity, inverse(
% 2.16/2.56 multiply( c, inverse( d ) ) ) ) ) ] )
% 2.16/2.56 , clause( 404, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.16/2.56 multiply( X, Y ) ) ) ] )
% 2.16/2.56 , 0, clause( 14770, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 multiply( inverse( inverse( d ) ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, inverse( d ) )] ),
% 2.16/2.56 substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14772, [ =( identity, 'greatest_lower_bound'( identity, multiply( d
% 2.16/2.56 , inverse( c ) ) ) ) ] )
% 2.16/2.56 , clause( 413, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.16/2.56 inverse( X ) ) ) ] )
% 2.16/2.56 , 0, clause( 14771, [ =( identity, 'greatest_lower_bound'( identity,
% 2.16/2.56 inverse( multiply( c, inverse( d ) ) ) ) ) ] )
% 2.16/2.56 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, d )] ), substitution( 1, [] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14773, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.16/2.56 c ) ) ), identity ) ] )
% 2.16/2.56 , clause( 14772, [ =( identity, 'greatest_lower_bound'( identity, multiply(
% 2.16/2.56 d, inverse( c ) ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 3213, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.16/2.56 c ) ) ), identity ) ] )
% 2.16/2.56 , clause( 14773, [ =( 'greatest_lower_bound'( identity, multiply( d,
% 2.16/2.56 inverse( c ) ) ), identity ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14775, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.16/2.56 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.16/2.56 , clause( 171, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.16/2.56 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14778, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( X, multiply( d, inverse( c ) ) ) ) ) ] )
% 2.16/2.56 , clause( 3213, [ =( 'greatest_lower_bound'( identity, multiply( d, inverse(
% 2.16/2.56 c ) ) ), identity ) ] )
% 2.16/2.56 , 0, clause( 14775, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 2.16/2.56 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.16/2.56 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 2.16/2.56 multiply( d, inverse( c ) ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14779, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 2.16/2.56 multiply( multiply( X, d ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.16/2.56 ), Z ) ) ] )
% 2.16/2.56 , 0, clause( 14778, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 2.16/2.56 , multiply( X, multiply( d, inverse( c ) ) ) ) ) ] )
% 2.16/2.56 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, d ), :=( Z, inverse( c ) )] )
% 2.16/2.56 , substitution( 1, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14780, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X, d
% 2.16/2.56 ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , clause( 365, [ =( multiply( X, identity ), X ) ] )
% 2.16/2.56 , 0, clause( 14779, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 2.16/2.56 , multiply( multiply( X, d ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.16/2.56 ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14781, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.16/2.56 inverse( c ) ) ), X ) ] )
% 2.16/2.56 , clause( 14780, [ =( X, 'greatest_lower_bound'( X, multiply( multiply( X,
% 2.16/2.56 d ), inverse( c ) ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 3252, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d ),
% 2.16/2.56 inverse( c ) ) ), X ) ] )
% 2.16/2.56 , clause( 14781, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d )
% 2.16/2.56 , inverse( c ) ) ), X ) ] )
% 2.16/2.56 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14783, [ =( 'greatest_lower_bound'( X, a ), 'greatest_lower_bound'(
% 2.16/2.56 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.16/2.56 , clause( 185, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( b, X )
% 2.16/2.56 , a ), 'greatest_lower_bound'( X, a ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14785, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.56 inverse( c ) ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 2.16/2.56 , clause( 3252, [ =( 'greatest_lower_bound'( X, multiply( multiply( X, d )
% 2.16/2.56 , inverse( c ) ) ), X ) ] )
% 2.16/2.56 , 0, clause( 14783, [ =( 'greatest_lower_bound'( X, a ),
% 2.16/2.56 'greatest_lower_bound'( 'greatest_lower_bound'( b, X ), a ) ) ] )
% 2.16/2.56 , 0, 10, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X,
% 2.16/2.56 multiply( multiply( b, d ), inverse( c ) ) )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14786, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.56 inverse( c ) ), a ), a ) ] )
% 2.16/2.56 , clause( 27, [ =( 'greatest_lower_bound'( b, a ), a ) ] )
% 2.16/2.56 , 0, clause( 14785, [ =( 'greatest_lower_bound'( multiply( multiply( b, d )
% 2.16/2.56 , inverse( c ) ), a ), 'greatest_lower_bound'( b, a ) ) ] )
% 2.16/2.56 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 3292, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.56 inverse( c ) ), a ), a ) ] )
% 2.16/2.56 , clause( 14786, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.56 inverse( c ) ), a ), a ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqswap(
% 2.16/2.56 clause( 14789, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.16/2.56 ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse( Y )
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , clause( 398, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ), Z )
% 2.16/2.56 , inverse( Y ) ), 'greatest_lower_bound'( X, multiply( Z, inverse( Y ) )
% 2.16/2.56 ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14791, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.16/2.56 inverse( inverse( c ) ) ) ), multiply( a, inverse( inverse( c ) ) ) ) ]
% 2.16/2.56 )
% 2.16/2.56 , clause( 3292, [ =( 'greatest_lower_bound'( multiply( multiply( b, d ),
% 2.16/2.56 inverse( c ) ), a ), a ) ] )
% 2.16/2.56 , 0, clause( 14789, [ =( 'greatest_lower_bound'( X, multiply( Z, inverse( Y
% 2.16/2.56 ) ) ), multiply( 'greatest_lower_bound'( multiply( X, Y ), Z ), inverse(
% 2.16/2.56 Y ) ) ) ] )
% 2.16/2.56 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( b, d )
% 2.16/2.56 ), :=( Y, inverse( c ) ), :=( Z, a )] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14793, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.16/2.56 inverse( inverse( c ) ) ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , clause( 373, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , 0, clause( 14791, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.16/2.56 a, inverse( inverse( c ) ) ) ), multiply( a, inverse( inverse( c ) ) ) )
% 2.16/2.56 ] )
% 2.16/2.56 , 0, 12, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14794, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.16/2.56 c ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , clause( 373, [ =( inverse( inverse( X ) ), X ) ] )
% 2.16/2.56 , 0, clause( 14793, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply(
% 2.16/2.56 a, inverse( inverse( c ) ) ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , 0, 7, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 14139, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a,
% 2.16/2.56 c ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , clause( 14794, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.16/2.56 , c ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 paramod(
% 2.16/2.56 clause( 14800, [ ~( =( multiply( a, c ), multiply( a, c ) ) ) ] )
% 2.16/2.56 , clause( 14139, [ =( 'greatest_lower_bound'( multiply( b, d ), multiply( a
% 2.16/2.56 , c ) ), multiply( a, c ) ) ] )
% 2.16/2.56 , 0, clause( 139, [ ~( =( 'greatest_lower_bound'( multiply( b, d ),
% 2.16/2.56 multiply( a, c ) ), multiply( a, c ) ) ) ] )
% 2.16/2.56 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 eqrefl(
% 2.16/2.56 clause( 14801, [] )
% 2.16/2.56 , clause( 14800, [ ~( =( multiply( a, c ), multiply( a, c ) ) ) ] )
% 2.16/2.56 , 0, substitution( 0, [] )).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 subsumption(
% 2.16/2.56 clause( 14336, [] )
% 2.16/2.56 , clause( 14801, [] )
% 2.16/2.56 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 end.
% 2.16/2.56
% 2.16/2.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.16/2.56
% 2.16/2.56 Memory use:
% 2.16/2.56
% 2.16/2.56 space for terms: 192769
% 2.16/2.56 space for clauses: 1528027
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 clauses generated: 441619
% 2.16/2.56 clauses kept: 14337
% 2.16/2.56 clauses selected: 1270
% 2.16/2.56 clauses deleted: 120
% 2.16/2.56 clauses inuse deleted: 43
% 2.16/2.56
% 2.16/2.56 subsentry: 26607
% 2.16/2.56 literals s-matched: 25481
% 2.16/2.56 literals matched: 25453
% 2.16/2.56 full subsumption: 0
% 2.16/2.56
% 2.16/2.56 checksum: 233373132
% 2.16/2.56
% 2.16/2.56
% 2.16/2.56 Bliksem ended
%------------------------------------------------------------------------------