TSTP Solution File: GRP167-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:35:41 EDT 2022
% Result : Unsatisfiable 3.61s 4.08s
% Output : Refutation 3.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : bliksem %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Mon Jun 13 09:54:56 EDT 2022
% 0.09/0.29 % CPUTime :
% 3.61/4.08 *** allocated 10000 integers for termspace/termends
% 3.61/4.08 *** allocated 10000 integers for clauses
% 3.61/4.08 *** allocated 10000 integers for justifications
% 3.61/4.08 Bliksem 1.12
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Automatic Strategy Selection
% 3.61/4.08
% 3.61/4.08 Clauses:
% 3.61/4.08 [
% 3.61/4.08 [ =( multiply( identity, X ), X ) ],
% 3.61/4.08 [ =( multiply( inverse( X ), X ), identity ) ],
% 3.61/4.08 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 3.61/4.08 ],
% 3.61/4.08 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 3.61/4.08 ,
% 3.61/4.08 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 3.61/4.08 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.61/4.08 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 3.61/4.08 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 3.61/4.08 [ =( 'least_upper_bound'( X, X ), X ) ],
% 3.61/4.08 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 3.61/4.08 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 3.61/4.08 ,
% 3.61/4.08 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 3.61/4.08 ,
% 3.61/4.08 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 3.61/4.08 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 3.61/4.08 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 3.61/4.08 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 3.61/4.08 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 3.61/4.08 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 3.61/4.08 [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity ) ) ],
% 3.61/4.08 [ =( 'negative_part'( X ), 'greatest_lower_bound'( X, identity ) ) ]
% 3.61/4.08 ,
% 3.61/4.08 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.61/4.08 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 3.61/4.08 X, Z ) ) ) ],
% 3.61/4.08 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ) ) ],
% 3.61/4.08 [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'( a ) ) ) ) ]
% 3.61/4.08
% 3.61/4.08 ] .
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 percentage equality = 1.000000, percentage horn = 1.000000
% 3.61/4.08 This is a pure equality problem
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Options Used:
% 3.61/4.08
% 3.61/4.08 useres = 1
% 3.61/4.08 useparamod = 1
% 3.61/4.08 useeqrefl = 1
% 3.61/4.08 useeqfact = 1
% 3.61/4.08 usefactor = 1
% 3.61/4.08 usesimpsplitting = 0
% 3.61/4.08 usesimpdemod = 5
% 3.61/4.08 usesimpres = 3
% 3.61/4.08
% 3.61/4.08 resimpinuse = 1000
% 3.61/4.08 resimpclauses = 20000
% 3.61/4.08 substype = eqrewr
% 3.61/4.08 backwardsubs = 1
% 3.61/4.08 selectoldest = 5
% 3.61/4.08
% 3.61/4.08 litorderings [0] = split
% 3.61/4.08 litorderings [1] = extend the termordering, first sorting on arguments
% 3.61/4.08
% 3.61/4.08 termordering = kbo
% 3.61/4.08
% 3.61/4.08 litapriori = 0
% 3.61/4.08 termapriori = 1
% 3.61/4.08 litaposteriori = 0
% 3.61/4.08 termaposteriori = 0
% 3.61/4.08 demodaposteriori = 0
% 3.61/4.08 ordereqreflfact = 0
% 3.61/4.08
% 3.61/4.08 litselect = negord
% 3.61/4.08
% 3.61/4.08 maxweight = 15
% 3.61/4.08 maxdepth = 30000
% 3.61/4.08 maxlength = 115
% 3.61/4.08 maxnrvars = 195
% 3.61/4.08 excuselevel = 1
% 3.61/4.08 increasemaxweight = 1
% 3.61/4.08
% 3.61/4.08 maxselected = 10000000
% 3.61/4.08 maxnrclauses = 10000000
% 3.61/4.08
% 3.61/4.08 showgenerated = 0
% 3.61/4.08 showkept = 0
% 3.61/4.08 showselected = 0
% 3.61/4.08 showdeleted = 0
% 3.61/4.08 showresimp = 1
% 3.61/4.08 showstatus = 2000
% 3.61/4.08
% 3.61/4.08 prologoutput = 1
% 3.61/4.08 nrgoals = 5000000
% 3.61/4.08 totalproof = 1
% 3.61/4.08
% 3.61/4.08 Symbols occurring in the translation:
% 3.61/4.08
% 3.61/4.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.61/4.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 3.61/4.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 3.61/4.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.61/4.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.61/4.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.61/4.08 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.61/4.08 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 3.61/4.08 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 3.61/4.08 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.61/4.08 'positive_part' [47, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.61/4.08 'negative_part' [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.61/4.08 a [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Starting Search:
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 21394
% 3.61/4.08 Kept: 2003
% 3.61/4.08 Inuse: 258
% 3.61/4.08 Deleted: 20
% 3.61/4.08 Deletedinuse: 9
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 48704
% 3.61/4.08 Kept: 4008
% 3.61/4.08 Inuse: 386
% 3.61/4.08 Deleted: 37
% 3.61/4.08 Deletedinuse: 13
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 74869
% 3.61/4.08 Kept: 6025
% 3.61/4.08 Inuse: 487
% 3.61/4.08 Deleted: 43
% 3.61/4.08 Deletedinuse: 16
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 120299
% 3.61/4.08 Kept: 8025
% 3.61/4.08 Inuse: 609
% 3.61/4.08 Deleted: 53
% 3.61/4.08 Deletedinuse: 21
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 180454
% 3.61/4.08 Kept: 10060
% 3.61/4.08 Inuse: 749
% 3.61/4.08 Deleted: 79
% 3.61/4.08 Deletedinuse: 30
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 208990
% 3.61/4.08 Kept: 12064
% 3.61/4.08 Inuse: 796
% 3.61/4.08 Deleted: 86
% 3.61/4.08 Deletedinuse: 33
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 263618
% 3.61/4.08 Kept: 14088
% 3.61/4.08 Inuse: 871
% 3.61/4.08 Deleted: 95
% 3.61/4.08 Deletedinuse: 33
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 343251
% 3.61/4.08 Kept: 16099
% 3.61/4.08 Inuse: 999
% 3.61/4.08 Deleted: 115
% 3.61/4.08 Deletedinuse: 35
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 403131
% 3.61/4.08 Kept: 18107
% 3.61/4.08 Inuse: 1080
% 3.61/4.08 Deleted: 130
% 3.61/4.08 Deletedinuse: 37
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying inuse:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08 Resimplifying clauses:
% 3.61/4.08 Done
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Intermediate Status:
% 3.61/4.08 Generated: 496204
% 3.61/4.08 Kept: 20117
% 3.61/4.08 Inuse: 1186
% 3.61/4.08 Deleted: 1307
% 3.61/4.08 Deletedinuse: 37
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 Bliksems!, er is een bewijs:
% 3.61/4.08 % SZS status Unsatisfiable
% 3.61/4.08 % SZS output start Refutation
% 3.61/4.08
% 3.61/4.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 3.61/4.08 , Z ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 3.61/4.08 ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 3.61/4.08 ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 3.61/4.08 X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 3.61/4.08 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 3.61/4.08 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 3.61/4.08 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.61/4.08 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 3.61/4.08 ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 16, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 3.61/4.08 ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 17, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 3.61/4.08 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 18, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 3.61/4.08 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 19, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 3.61/4.08 , a ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 3.61/4.08 ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 3.61/4.08 , identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 3.61/4.08 identity ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 3.61/4.08 ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 3.61/4.08 ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 27, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.61/4.08 X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 29, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 3.61/4.08 X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 50, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.61/4.08 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.61/4.08 'least_upper_bound'( X, Y ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 62, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 98, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 3.61/4.08 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 99, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 3.61/4.08 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.61/4.08 'positive_part'( Y ), X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 101, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 3.61/4.08 'positive_part'( Y ), X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 106, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'( X
% 3.61/4.08 ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 108, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 3.61/4.08 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 122, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 3.61/4.08 , 'negative_part'( multiply( Y, X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 124, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 3.61/4.08 'negative_part'( Y ), X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 127, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.61/4.08 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 163, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 3.61/4.08 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 3.61/4.08 ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 217, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.61/4.08 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.61/4.08 ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 271, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 3.61/4.08 ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 287, [ =( multiply( inverse( identity ), X ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 414, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 415, [ =( inverse( inverse( X ) ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 416, [ =( inverse( identity ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 417, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 3.61/4.08 X, 'negative_part'( Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 3.61/4.08 'positive_part'( Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 420, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 3.61/4.08 'positive_part'( Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 421, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 3.61/4.08 ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 436, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 3.61/4.08 ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 437, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 3.61/4.08 X, Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 474, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.61/4.08 'negative_part'( inverse( Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 495, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.61/4.08 inverse( 'positive_part'( X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 506, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 3.61/4.08 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 599, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X )
% 3.61/4.08 ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.61/4.08 'positive_part'( X ) ), Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 614, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 3.61/4.08 'positive_part'( inverse( Y ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 842, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.61/4.08 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.61/4.08 inverse( X ) ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 848, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 3.61/4.08 'negative_part'( X ), X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 869, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 3.61/4.08 'negative_part'( Y ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 875, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) )
% 3.61/4.08 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 982, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ),
% 3.61/4.08 multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 990, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 3.61/4.08 'positive_part'( X ), X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 992, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.61/4.08 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.61/4.08 inverse( X ) ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 998, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.61/4.08 'positive_part'( inverse( X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1007, [ =( multiply( 'positive_part'( multiply( X, inverse( Y ) ) )
% 3.61/4.08 , Y ), 'least_upper_bound'( Y, X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1008, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 3.61/4.08 'positive_part'( Y ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1011, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.61/4.08 'positive_part'( Y ), X ) ) ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1016, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 3.61/4.08 ), a ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1026, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 3.61/4.08 'positive_part'( inverse( X ) ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1062, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.61/4.08 'positive_part'( X ) ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 1857, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 3.61/4.08 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 2841, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.61/4.08 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 2842, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X )
% 3.61/4.08 , X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 4261, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) ),
% 3.61/4.08 'positive_part'( multiply( X, X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 4307, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 3.61/4.08 , X ) ) ), X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 4324, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X )
% 3.61/4.08 ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 20026, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.61/4.08 'negative_part'( X ) ), identity ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 20077, [ =( 'positive_part'( inverse( X ) ), inverse(
% 3.61/4.08 'negative_part'( X ) ) ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 20113, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 3.61/4.08 , X ) ] )
% 3.61/4.08 .
% 3.61/4.08 clause( 20117, [] )
% 3.61/4.08 .
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 % SZS output end Refutation
% 3.61/4.08 found a proof!
% 3.61/4.08
% 3.61/4.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.61/4.08
% 3.61/4.08 initialclauses(
% 3.61/4.08 [ clause( 20119, [ =( multiply( identity, X ), X ) ] )
% 3.61/4.08 , clause( 20120, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.61/4.08 , clause( 20121, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 3.61/4.08 multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20122, [ =( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( Y, X ) ) ] )
% 3.61/4.08 , clause( 20123, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 , clause( 20124, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 3.61/4.08 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 3.61/4.08 )
% 3.61/4.08 , clause( 20125, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 3.61/4.08 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20126, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 3.61/4.08 , clause( 20127, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 3.61/4.08 , clause( 20128, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 3.61/4.08 ) ), X ) ] )
% 3.61/4.08 , clause( 20129, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 3.61/4.08 ) ), X ) ] )
% 3.61/4.08 , clause( 20130, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.61/4.08 , clause( 20131, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.61/4.08 , clause( 20132, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 3.61/4.08 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20133, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20134, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 3.61/4.08 identity ) ) ] )
% 3.61/4.08 , clause( 20135, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 3.61/4.08 identity ) ) ] )
% 3.61/4.08 , clause( 20136, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 3.61/4.08 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ) ) ] )
% 3.61/4.08 , clause( 20137, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 3.61/4.08 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ) ) ] )
% 3.61/4.08 , clause( 20138, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 3.61/4.08 a ) ) ) ) ] )
% 3.61/4.08 ] ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.61/4.08 , clause( 20119, [ =( multiply( identity, X ), X ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.61/4.08 , clause( 20120, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20144, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 3.61/4.08 , Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20121, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 3.61/4.08 multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 3.61/4.08 , Z ) ) ] )
% 3.61/4.08 , clause( 20144, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 3.61/4.08 X, Y ), Z ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 , clause( 20122, [ =( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( Y, X ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.61/4.08 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 3.61/4.08 ] )
% 3.61/4.08 , clause( 20123, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.61/4.08 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20125, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 3.61/4.08 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 3.61/4.08 ) ] )
% 3.61/4.08 , clause( 20128, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 3.61/4.08 ) ), X ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.61/4.08 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 3.61/4.08 X ) ] )
% 3.61/4.08 , clause( 20129, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 3.61/4.08 ) ), X ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.61/4.08 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20182, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 3.61/4.08 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20130, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.61/4.08 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 3.61/4.08 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20182, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 3.61/4.08 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20193, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 3.61/4.08 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20131, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 3.61/4.08 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20193, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 3.61/4.08 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20205, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.61/4.08 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20132, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 3.61/4.08 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 3.61/4.08 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20205, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 3.61/4.08 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20218, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 3.61/4.08 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20133, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 3.61/4.08 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.61/4.08 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , clause( 20218, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 3.61/4.08 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20232, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X
% 3.61/4.08 ) ) ] )
% 3.61/4.08 , clause( 20134, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 3.61/4.08 identity ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 3.61/4.08 ] )
% 3.61/4.08 , clause( 20232, [ =( 'least_upper_bound'( X, identity ), 'positive_part'(
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20247, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 3.61/4.08 X ) ) ] )
% 3.61/4.08 , clause( 20135, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 3.61/4.08 identity ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 16, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 3.61/4.08 ) ) ] )
% 3.61/4.08 , clause( 20247, [ =( 'greatest_lower_bound'( X, identity ),
% 3.61/4.08 'negative_part'( X ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20263, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 3.61/4.08 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20136, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 3.61/4.08 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 17, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 3.61/4.08 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20263, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.61/4.08 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 3.61/4.08 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20280, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 3.61/4.08 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20137, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 3.61/4.08 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 18, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 3.61/4.08 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , clause( 20280, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.61/4.08 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 3.61/4.08 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.61/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.61/4.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20298, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a )
% 3.61/4.08 ), a ) ) ] )
% 3.61/4.08 , clause( 20138, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 3.61/4.08 a ) ) ) ) ] )
% 3.61/4.08 , 0, substitution( 0, [] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 subsumption(
% 3.61/4.08 clause( 19, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 3.61/4.08 , a ) ) ] )
% 3.61/4.08 , clause( 20298, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a
% 3.61/4.08 ) ), a ) ) ] )
% 3.61/4.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 eqswap(
% 3.61/4.08 clause( 20299, [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity
% 3.61/4.08 ) ) ] )
% 3.61/4.08 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.61/4.08 ) ] )
% 3.61/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.61/4.08
% 3.61/4.08
% 3.61/4.08 paramod(
% 3.61/4.08 clause( 20300, [ =( 'positive_part'( X ), 'least_upper_bound'( identity, X
% 3.61/4.08 ) ) ] )
% 3.61/4.08 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 3.61/4.08 ) ] )
% 3.61/4.08 , 0, clause( 20299, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 3.69/4.08 identity ) ) ] )
% 3.69/4.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 3.69/4.08 1, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20303, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X
% 3.69/4.08 ) ) ] )
% 3.69/4.08 , clause( 20300, [ =( 'positive_part'( X ), 'least_upper_bound'( identity,
% 3.69/4.08 X ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 3.69/4.08 ] )
% 3.69/4.08 , clause( 20303, [ =( 'least_upper_bound'( identity, X ), 'positive_part'(
% 3.69/4.08 X ) ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20304, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 3.69/4.08 Y, Z ) ) ) ] )
% 3.69/4.08 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 3.69/4.08 ), Z ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20307, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.08 ), identity ) ] )
% 3.69/4.08 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.08 , 0, clause( 20304, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 3.69/4.08 multiply( Y, Z ) ) ) ] )
% 3.69/4.08 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 3.69/4.08 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 3.69/4.08 , identity ) ] )
% 3.69/4.08 , clause( 20307, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 3.69/4.08 , Y ), identity ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.08 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20313, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 3.69/4.08 Y, Z ) ) ) ] )
% 3.69/4.08 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 3.69/4.08 ), Z ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20318, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 3.69/4.08 , identity ) ) ] )
% 3.69/4.08 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.08 , 0, clause( 20313, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 3.69/4.08 multiply( Y, Z ) ) ) ] )
% 3.69/4.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.08 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 3.69/4.08 identity ) ) ] )
% 3.69/4.08 , clause( 20318, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 3.69/4.08 X, identity ) ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.08 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20323, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 3.69/4.08 Y, Z ) ) ) ] )
% 3.69/4.08 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 3.69/4.08 ), Z ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20328, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 3.69/4.08 ) ) ] )
% 3.69/4.08 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.08 , 0, clause( 20323, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 3.69/4.08 multiply( Y, Z ) ) ) ] )
% 3.69/4.08 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.08 :=( Y, identity ), :=( Z, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 3.69/4.08 ] )
% 3.69/4.08 , clause( 20328, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 3.69/4.08 Y ) ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.08 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20333, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 3.69/4.08 identity ) ) ] )
% 3.69/4.08 , clause( 16, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 3.69/4.08 X ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20334, [ =( 'negative_part'( X ), 'greatest_lower_bound'( identity
% 3.69/4.08 , X ) ) ] )
% 3.69/4.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 3.69/4.08 , X ) ) ] )
% 3.69/4.08 , 0, clause( 20333, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 3.69/4.08 identity ) ) ] )
% 3.69/4.08 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 3.69/4.08 1, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20337, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.08 X ) ) ] )
% 3.69/4.08 , clause( 20334, [ =( 'negative_part'( X ), 'greatest_lower_bound'(
% 3.69/4.08 identity, X ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 3.69/4.08 ) ) ] )
% 3.69/4.08 , clause( 20337, [ =( 'greatest_lower_bound'( identity, X ),
% 3.69/4.08 'negative_part'( X ) ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20338, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 3.69/4.08 ) ) ) ] )
% 3.69/4.08 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 3.69/4.08 , X ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20341, [ =( identity, 'negative_part'( 'least_upper_bound'(
% 3.69/4.08 identity, X ) ) ) ] )
% 3.69/4.08 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.08 X ) ) ] )
% 3.69/4.08 , 0, clause( 20338, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 3.69/4.08 X, Y ) ) ) ] )
% 3.69/4.08 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 3.69/4.08 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20342, [ =( identity, 'negative_part'( 'positive_part'( X ) ) ) ]
% 3.69/4.08 )
% 3.69/4.08 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.08 ) ] )
% 3.69/4.08 , 0, clause( 20341, [ =( identity, 'negative_part'( 'least_upper_bound'(
% 3.69/4.08 identity, X ) ) ) ] )
% 3.69/4.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.08 ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20343, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ]
% 3.69/4.08 )
% 3.69/4.08 , clause( 20342, [ =( identity, 'negative_part'( 'positive_part'( X ) ) ) ]
% 3.69/4.08 )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 27, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 3.69/4.08 , clause( 20343, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ]
% 3.69/4.08 )
% 3.69/4.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20344, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 3.69/4.08 ) ) ) ] )
% 3.69/4.08 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 3.69/4.08 , X ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 paramod(
% 3.69/4.08 clause( 20345, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 3.69/4.08 , X ) ) ] )
% 3.69/4.08 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 3.69/4.08 , X ) ) ] )
% 3.69/4.08 , 0, clause( 20344, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 3.69/4.08 X, Y ) ) ) ] )
% 3.69/4.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 3.69/4.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 eqswap(
% 3.69/4.08 clause( 20348, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 3.69/4.08 ), X ) ] )
% 3.69/4.08 , clause( 20345, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 3.69/4.08 ), X ) ) ] )
% 3.69/4.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.08
% 3.69/4.08
% 3.69/4.08 subsumption(
% 3.69/4.08 clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.69/4.08 X ) ] )
% 3.69/4.08 , clause( 20348, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.69/4.08 X ), X ) ] )
% 3.69/4.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20349, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20350, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20349, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 3.69/4.09 X, Y ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20353, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 3.69/4.09 ), X ) ] )
% 3.69/4.09 , clause( 20350, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 3.69/4.09 , X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 29, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 3.69/4.09 X ) ] )
% 3.69/4.09 , clause( 20353, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 3.69/4.09 ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20354, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 3.69/4.09 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 3.69/4.09 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20358, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 3.69/4.09 , Y ), 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20354, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 3.69/4.09 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20361, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.69/4.09 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20358, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 3.69/4.09 , X ), Y ), 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 50, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.69/4.09 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 20361, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.69/4.09 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20364, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20367, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 3.69/4.09 'least_upper_bound'( X, Y ), X ) ) ] )
% 3.69/4.09 , clause( 28, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , 0, clause( 20364, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 3.69/4.09 X, Y ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20368, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ] )
% 3.69/4.09 , clause( 20367, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 3.69/4.09 'least_upper_bound'( X, Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ] )
% 3.69/4.09 , clause( 20368, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 3.69/4.09 , 'least_upper_bound'( X, Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20370, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20372, [ =( identity, 'least_upper_bound'( identity,
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20370, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 3.69/4.09 X, Y ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 identity ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20373, [ =( identity, 'positive_part'( 'negative_part'( X ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20372, [ =( identity, 'least_upper_bound'( identity,
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, 'negative_part'( X ) )] ), substitution(
% 3.69/4.09 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20374, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ]
% 3.69/4.09 )
% 3.69/4.09 , clause( 20373, [ =( identity, 'positive_part'( 'negative_part'( X ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 62, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , clause( 20374, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ]
% 3.69/4.09 )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20376, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.69/4.09 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20378, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 3.69/4.09 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20376, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 3.69/4.09 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20380, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 3.69/4.09 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20378, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ),
% 3.69/4.09 X ), 'least_upper_bound'( identity, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 98, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 3.69/4.09 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 20380, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X )
% 3.69/4.09 , 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20383, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.69/4.09 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20386, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20383, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20387, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y ),
% 3.69/4.09 'positive_part'( multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20386, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ),
% 3.69/4.09 Y ), 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 99, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 3.69/4.09 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 20387, [ =( multiply( 'least_upper_bound'( X, inverse( Y ) ), Y )
% 3.69/4.09 , 'positive_part'( multiply( X, Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20390, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.69/4.09 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20392, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 3.69/4.09 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20390, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 3.69/4.09 identity ), :=( Y, Y ), :=( Z, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20394, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20392, [ =( multiply( 'least_upper_bound'( identity, X ), Y )
% 3.69/4.09 , 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20395, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 3.69/4.09 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , clause( 20394, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , clause( 20395, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 3.69/4.09 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20397, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 3.69/4.09 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20400, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20397, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y ), :=( Z, identity )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20401, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20400, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 3.69/4.09 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20402, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 3.69/4.09 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , clause( 20401, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 101, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , clause( 20402, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 3.69/4.09 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20404, [ =( 'positive_part'( 'least_upper_bound'( X, Y ) ),
% 3.69/4.09 'least_upper_bound'( 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , clause( 50, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.69/4.09 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20406, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 3.69/4.09 X ), Y ) ), 'least_upper_bound'( identity, Y ) ) ] )
% 3.69/4.09 , clause( 62, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20404, [ =( 'positive_part'( 'least_upper_bound'( X, Y ) ),
% 3.69/4.09 'least_upper_bound'( 'positive_part'( X ), Y ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'negative_part'( X ) ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20407, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 3.69/4.09 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20406, [ =( 'positive_part'( 'least_upper_bound'(
% 3.69/4.09 'negative_part'( X ), Y ) ), 'least_upper_bound'( identity, Y ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 106, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'( X
% 3.69/4.09 ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 20407, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 3.69/4.09 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20410, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , clause( 29, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20411, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ) ) ] )
% 3.69/4.09 , clause( 50, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 3.69/4.09 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20410, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 3.69/4.09 Y, X ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, 'positive_part'( Y ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20412, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ), X ) ] )
% 3.69/4.09 , clause( 20411, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 108, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 3.69/4.09 , clause( 20412, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20414, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 3.69/4.09 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20416, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 3.69/4.09 ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20414, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 3.69/4.09 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20418, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 3.69/4.09 ), 'negative_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20416, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y
% 3.69/4.09 ), X ), 'greatest_lower_bound'( identity, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 122, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X )
% 3.69/4.09 , 'negative_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 20418, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ),
% 3.69/4.09 X ), 'negative_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20421, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 3.69/4.09 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20423, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 3.69/4.09 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20421, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 3.69/4.09 identity ), :=( Y, Y ), :=( Z, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20425, [ =( multiply( 'negative_part'( X ), Y ),
% 3.69/4.09 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20423, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y
% 3.69/4.09 ), 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20426, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 3.69/4.09 'negative_part'( X ), Y ) ) ] )
% 3.69/4.09 , clause( 20425, [ =( multiply( 'negative_part'( X ), Y ),
% 3.69/4.09 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 124, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'negative_part'( Y ), X ) ) ] )
% 3.69/4.09 , clause( 20426, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 3.69/4.09 multiply( 'negative_part'( X ), Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20428, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ) ) ] )
% 3.69/4.09 , clause( 108, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20429, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ) ) ] )
% 3.69/4.09 , clause( 60, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ] )
% 3.69/4.09 , 0, clause( 20428, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( Y, X ) ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20430, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 3.69/4.09 , clause( 20429, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 127, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 3.69/4.09 , clause( 20430, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20432, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 3.69/4.09 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.69/4.09 'least_upper_bound'( X, Z ) ) ) ] )
% 3.69/4.09 , clause( 17, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.69/4.09 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 3.69/4.09 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20437, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 3.69/4.09 X, Y ) ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 3.69/4.09 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20432, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 3.69/4.09 , Z ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 3.69/4.09 'least_upper_bound'( X, Z ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 3.69/4.09 identity ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20443, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 3.69/4.09 X, Y ) ), 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'(
% 3.69/4.09 Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20437, [ =( 'least_upper_bound'( identity,
% 3.69/4.09 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'(
% 3.69/4.09 'least_upper_bound'( identity, X ), 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20445, [ =( 'positive_part'( 'greatest_lower_bound'( X, Y ) ),
% 3.69/4.09 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'( Y ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20443, [ =( 'least_upper_bound'( identity,
% 3.69/4.09 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( 'positive_part'(
% 3.69/4.09 X ), 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20446, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 ) ] )
% 3.69/4.09 , clause( 20445, [ =( 'positive_part'( 'greatest_lower_bound'( X, Y ) ),
% 3.69/4.09 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'( Y ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 163, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 ) ] )
% 3.69/4.09 , clause( 20446, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20448, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z )
% 3.69/4.09 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.69/4.09 'greatest_lower_bound'( X, Z ) ) ) ] )
% 3.69/4.09 , clause( 18, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.69/4.09 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 3.69/4.09 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20453, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 3.69/4.09 X, Y ) ), 'least_upper_bound'( 'greatest_lower_bound'( identity, X ),
% 3.69/4.09 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20448, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 3.69/4.09 , Z ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 3.69/4.09 'greatest_lower_bound'( X, Z ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 3.69/4.09 identity ), :=( Y, X ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20459, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 3.69/4.09 X, Y ) ), 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20453, [ =( 'greatest_lower_bound'( identity,
% 3.69/4.09 'least_upper_bound'( X, Y ) ), 'least_upper_bound'(
% 3.69/4.09 'greatest_lower_bound'( identity, X ), 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20461, [ =( 'negative_part'( 'least_upper_bound'( X, Y ) ),
% 3.69/4.09 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20459, [ =( 'greatest_lower_bound'( identity,
% 3.69/4.09 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( 'negative_part'( X )
% 3.69/4.09 , 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20462, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.69/4.09 ] )
% 3.69/4.09 , clause( 20461, [ =( 'negative_part'( 'least_upper_bound'( X, Y ) ),
% 3.69/4.09 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 217, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.69/4.09 ] )
% 3.69/4.09 , clause( 20462, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.69/4.09 ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20464, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 3.69/4.09 Y ) ), Y ) ) ] )
% 3.69/4.09 , clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 3.69/4.09 , identity ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20467, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 3.69/4.09 identity, X ) ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20464, [ =( multiply( X, identity ), multiply( multiply( X,
% 3.69/4.09 inverse( Y ) ), Y ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20468, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20467, [ =( multiply( inverse( inverse( X ) ), identity ),
% 3.69/4.09 multiply( identity, X ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 271, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 3.69/4.09 , clause( 20468, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 3.69/4.09 )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20471, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20474, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 271, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20471, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 3.69/4.09 ), Y ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 3.69/4.09 inverse( X ) ) ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 3.69/4.09 ) ] )
% 3.69/4.09 , clause( 20474, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 3.69/4.09 Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20481, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 25, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20484, [ =( multiply( inverse( identity ), X ), multiply( identity
% 3.69/4.09 , X ) ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20481, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 3.69/4.09 ), Y ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 3.69/4.09 inverse( identity ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20485, [ =( multiply( inverse( identity ), X ), X ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20484, [ =( multiply( inverse( identity ), X ), multiply(
% 3.69/4.09 identity, X ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 287, [ =( multiply( inverse( identity ), X ), X ) ] )
% 3.69/4.09 , clause( 20485, [ =( multiply( inverse( identity ), X ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20487, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20490, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , clause( 271, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20487, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 3.69/4.09 ), Y ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, identity )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , clause( 20490, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20495, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20498, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20495, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 3.69/4.09 ), Y ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, inverse( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 414, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.69/4.09 , clause( 20498, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20501, [ =( X, multiply( X, identity ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20504, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 3.69/4.09 , clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20501, [ =( X, multiply( X, identity ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 3.69/4.09 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20505, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20504, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 3.69/4.09 ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 415, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , clause( 20505, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20507, [ =( X, multiply( X, identity ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20509, [ =( inverse( identity ), identity ) ] )
% 3.69/4.09 , clause( 287, [ =( multiply( inverse( identity ), X ), X ) ] )
% 3.69/4.09 , 0, clause( 20507, [ =( X, multiply( X, identity ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 3.69/4.09 inverse( identity ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 416, [ =( inverse( identity ), identity ) ] )
% 3.69/4.09 , clause( 20509, [ =( inverse( identity ), identity ) ] )
% 3.69/4.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20512, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 3.69/4.09 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20514, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20512, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 3.69/4.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, identity ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20516, [ =( multiply( X, 'negative_part'( Y ) ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 26, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20514, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 3.69/4.09 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20517, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 3.69/4.09 X, 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20516, [ =( multiply( X, 'negative_part'( Y ) ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 417, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 3.69/4.09 X, 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20517, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 3.69/4.09 multiply( X, 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20519, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 3.69/4.09 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20521, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 3.69/4.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20519, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, identity ), :=( Z, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20523, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 22, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20521, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 3.69/4.09 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20524, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20523, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 3.69/4.09 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20524, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 3.69/4.09 X, 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20526, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 3.69/4.09 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20529, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20526, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y ), :=( Z, identity )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20530, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20529, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 3.69/4.09 , 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20531, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20530, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 420, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 3.69/4.09 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , clause( 20531, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 3.69/4.09 X, 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20533, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 3.69/4.09 Y ) ), Y ) ) ] )
% 3.69/4.09 , clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 3.69/4.09 , identity ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20535, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 3.69/4.09 inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 415, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , 0, clause( 20533, [ =( multiply( X, identity ), multiply( multiply( X,
% 3.69/4.09 inverse( Y ) ), Y ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, inverse( Y ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20536, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20535, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 3.69/4.09 ), inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20537, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 3.69/4.09 , clause( 20536, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 421, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 3.69/4.09 , clause( 20537, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20539, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 421, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20544, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 3.69/4.09 identity, inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , 0, clause( 20539, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20545, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20544, [ =( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 multiply( identity, inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 3.69/4.09 ) ] )
% 3.69/4.09 , clause( 20545, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse(
% 3.69/4.09 Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20547, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20551, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 3.69/4.09 inverse( multiply( X, Y ) ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20547, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 3.69/4.09 ), X ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20552, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 280, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20551, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 3.69/4.09 inverse( multiply( X, Y ) ) ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 3.69/4.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20553, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 20552, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 436, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , clause( 20553, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20555, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 421, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20558, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 3.69/4.09 inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20555, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20559, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 3.69/4.09 multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 20558, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 3.69/4.09 inverse( X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 437, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 3.69/4.09 X, Y ) ) ) ] )
% 3.69/4.09 , clause( 20559, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 3.69/4.09 multiply( X, Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20561, [ =( multiply( X, 'negative_part'( Y ) ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 417, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 3.69/4.09 X, 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20565, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'negative_part'( Y ) ), 'greatest_lower_bound'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ), identity ) ) ] )
% 3.69/4.09 , clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , 0, clause( 20561, [ =( multiply( X, 'negative_part'( Y ) ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20566, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( multiply( inverse( multiply( X,
% 3.69/4.09 Y ) ), X ) ) ) ] )
% 3.69/4.09 , clause( 16, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20565, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'negative_part'( Y ) ), 'greatest_lower_bound'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ), identity ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20568, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20566, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'negative_part'( Y ) ), 'negative_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ) ) ] )
% 3.69/4.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20569, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.69/4.09 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20568, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'negative_part'( Y ) ), 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 474, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.69/4.09 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 20569, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.69/4.09 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20574, [ =( 'negative_part'( inverse( X ) ), multiply( inverse( X )
% 3.69/4.09 , 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 474, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.69/4.09 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20576, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 multiply( inverse( 'positive_part'( X ) ), identity ) ) ] )
% 3.69/4.09 , clause( 27, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20574, [ =( 'negative_part'( inverse( X ) ), multiply( inverse(
% 3.69/4.09 X ), 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'positive_part'( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20577, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20576, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) )
% 3.69/4.09 , multiply( inverse( 'positive_part'( X ) ), identity ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, inverse( 'positive_part'( X ) ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 495, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 20577, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20580, [ =( 'positive_part'( Y ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( 'negative_part'( X ), Y ) ) ) ] )
% 3.69/4.09 , clause( 106, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 3.69/4.09 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20587, [ =( 'positive_part'( X ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( inverse( 'positive_part'( Y ) ), X ) ) ) ] )
% 3.69/4.09 , clause( 495, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, clause( 20580, [ =( 'positive_part'( Y ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( 'negative_part'( X ), Y ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 3.69/4.09 'positive_part'( Y ) ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20588, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 3.69/4.09 'positive_part'( Y ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , clause( 20587, [ =( 'positive_part'( X ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( inverse( 'positive_part'( Y ) ), X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 506, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 20588, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 3.69/4.09 'positive_part'( Y ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20590, [ =( 'positive_part'( Y ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( inverse( 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , clause( 506, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20593, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), Y ) ), 'positive_part'( multiply( inverse( 'positive_part'( X ) ),
% 3.69/4.09 'positive_part'( Y ) ) ) ) ] )
% 3.69/4.09 , clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20590, [ =( 'positive_part'( Y ), 'positive_part'(
% 3.69/4.09 'least_upper_bound'( inverse( 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, inverse( 'positive_part'( X ) ) ), :=( Y
% 3.69/4.09 , Y )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20594, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , clause( 20593, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 X ) ), Y ) ), 'positive_part'( multiply( inverse( 'positive_part'( X ) )
% 3.69/4.09 , 'positive_part'( Y ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 599, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X )
% 3.69/4.09 ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , clause( 20594, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 X ) ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20596, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20600, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'positive_part'( Y ) ), 'least_upper_bound'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ), identity ) ) ] )
% 3.69/4.09 , clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , 0, clause( 20596, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20601, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( multiply( inverse( multiply( X,
% 3.69/4.09 Y ) ), X ) ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20600, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'positive_part'( Y ) ), 'least_upper_bound'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ), identity ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20603, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20601, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'positive_part'( Y ) ), 'positive_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ) ) ] )
% 3.69/4.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20604, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 3.69/4.09 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20603, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ), 'positive_part'( Y ) ), 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 614, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 3.69/4.09 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , clause( 20604, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 3.69/4.09 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20609, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 124, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'negative_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20611, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 614, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 3.69/4.09 'positive_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20609, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, 'positive_part'( X ) ), :=( Y, inverse( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20612, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 163, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20611, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'greatest_lower_bound'( 'positive_part'( X ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 842, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20612, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20614, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 124, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'negative_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20616, [ =( multiply( 'negative_part'( X ), X ), multiply( X,
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 417, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 3.69/4.09 X, 'negative_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20614, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20617, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 3.69/4.09 'negative_part'( X ), X ) ) ] )
% 3.69/4.09 , clause( 20616, [ =( multiply( 'negative_part'( X ), X ), multiply( X,
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 848, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 3.69/4.09 'negative_part'( X ), X ) ) ] )
% 3.69/4.09 , clause( 20617, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 3.69/4.09 'negative_part'( X ), X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20619, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 124, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'negative_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20622, [ =( multiply( 'negative_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ), Y ), 'greatest_lower_bound'( Y, identity ) ) ] )
% 3.69/4.09 , clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , 0, clause( 20619, [ =( multiply( 'negative_part'( Y ), X ),
% 3.69/4.09 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, Y ), :=( Y, multiply( inverse( multiply( X, Y ) ), X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20623, [ =( multiply( 'negative_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ), Y ), 'negative_part'( Y ) ) ] )
% 3.69/4.09 , clause( 16, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, clause( 20622, [ =( multiply( 'negative_part'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ) ), Y ), 'greatest_lower_bound'( Y, identity ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20624, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'negative_part'( Y ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20623, [ =( multiply( 'negative_part'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ) ), Y ), 'negative_part'( Y ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 869, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'negative_part'( Y ) ) ] )
% 3.69/4.09 , clause( 20624, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'negative_part'( Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20627, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , clause( 420, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20631, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 869, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'negative_part'( Y ) ) ] )
% 3.69/4.09 , 0, clause( 20627, [ =( multiply( X, 'positive_part'( Y ) ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, 'negative_part'( inverse( X ) ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20632, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 3.69/4.09 X ) ) ) ) ] )
% 3.69/4.09 , clause( 217, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.69/4.09 ] )
% 3.69/4.09 , 0, clause( 20631, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20633, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 3.69/4.09 ) ) ), 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 842, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, clause( 20632, [ =( multiply( 'negative_part'( inverse( X ) ),
% 3.69/4.09 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 3.69/4.09 X ) ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20634, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 3.69/4.09 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20633, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse(
% 3.69/4.09 X ) ) ), 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 875, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) )
% 3.69/4.09 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20634, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X )
% 3.69/4.09 ) ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20636, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20639, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 3.69/4.09 , 'least_upper_bound'( 'negative_part'( X ), multiply( 'negative_part'( X
% 3.69/4.09 ), X ) ) ) ] )
% 3.69/4.09 , clause( 848, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 3.69/4.09 'negative_part'( X ), X ) ) ] )
% 3.69/4.09 , 0, clause( 20636, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'negative_part'( X ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20640, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 3.69/4.09 , multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20639, [ =( multiply( 'positive_part'( X ), 'negative_part'( X
% 3.69/4.09 ) ), 'least_upper_bound'( 'negative_part'( X ), multiply(
% 3.69/4.09 'negative_part'( X ), X ) ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, 'negative_part'( X ) ), :=( Y, X )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 982, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ),
% 3.69/4.09 multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 20640, [ =( multiply( 'positive_part'( X ), 'negative_part'( X )
% 3.69/4.09 ), multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20642, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20644, [ =( multiply( 'positive_part'( X ), X ), multiply( X,
% 3.69/4.09 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 419, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 3.69/4.09 , 'positive_part'( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20642, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20645, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 3.69/4.09 'positive_part'( X ), X ) ) ] )
% 3.69/4.09 , clause( 20644, [ =( multiply( 'positive_part'( X ), X ), multiply( X,
% 3.69/4.09 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 990, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 3.69/4.09 'positive_part'( X ), X ) ) ] )
% 3.69/4.09 , clause( 20645, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 3.69/4.09 'positive_part'( X ), X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20647, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20650, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 474, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 3.69/4.09 'negative_part'( inverse( Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20647, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, 'negative_part'( X ) ), :=( Y, inverse( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20651, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 3.69/4.09 X ) ) ) ) ] )
% 3.69/4.09 , clause( 217, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 3.69/4.09 ] )
% 3.69/4.09 , 0, clause( 20650, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 3.69/4.09 'negative_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20652, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 875, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 3.69/4.09 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, clause( 20651, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 3.69/4.09 X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 992, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20652, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20655, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20658, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 3.69/4.09 , clause( 414, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20655, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 3.69/4.09 X ) ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20659, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20658, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 998, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 20659, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20662, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20664, [ =( multiply( 'positive_part'( multiply( X, inverse( Y ) )
% 3.69/4.09 ), Y ), 'least_upper_bound'( Y, multiply( X, identity ) ) ) ] )
% 3.69/4.09 , clause( 24, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 3.69/4.09 , identity ) ) ] )
% 3.69/4.09 , 0, clause( 20662, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, Y ), :=( Y, multiply( X, inverse( Y ) ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20665, [ =( multiply( 'positive_part'( multiply( X, inverse( Y ) )
% 3.69/4.09 ), Y ), 'least_upper_bound'( Y, X ) ) ] )
% 3.69/4.09 , clause( 407, [ =( multiply( X, identity ), X ) ] )
% 3.69/4.09 , 0, clause( 20664, [ =( multiply( 'positive_part'( multiply( X, inverse( Y
% 3.69/4.09 ) ) ), Y ), 'least_upper_bound'( Y, multiply( X, identity ) ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1007, [ =( multiply( 'positive_part'( multiply( X, inverse( Y ) ) )
% 3.69/4.09 , Y ), 'least_upper_bound'( Y, X ) ) ] )
% 3.69/4.09 , clause( 20665, [ =( multiply( 'positive_part'( multiply( X, inverse( Y )
% 3.69/4.09 ) ), Y ), 'least_upper_bound'( Y, X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20668, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20671, [ =( multiply( 'positive_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ), Y ), 'least_upper_bound'( Y, identity ) ) ] )
% 3.69/4.09 , clause( 23, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , 0, clause( 20668, [ =( multiply( 'positive_part'( Y ), X ),
% 3.69/4.09 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, Y ), :=( Y, multiply( inverse( multiply( X, Y ) ), X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20672, [ =( multiply( 'positive_part'( multiply( inverse( multiply(
% 3.69/4.09 X, Y ) ), X ) ), Y ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 15, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, clause( 20671, [ =( multiply( 'positive_part'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ) ), Y ), 'least_upper_bound'( Y, identity ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20673, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, clause( 20672, [ =( multiply( 'positive_part'( multiply( inverse(
% 3.69/4.09 multiply( X, Y ) ), X ) ), Y ), 'positive_part'( Y ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1008, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'positive_part'( Y ) ) ] )
% 3.69/4.09 , clause( 20673, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'positive_part'( Y ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20676, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ) ) ] )
% 3.69/4.09 , clause( 127, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20677, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ) ) ] )
% 3.69/4.09 , clause( 100, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, clause( 20676, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 'least_upper_bound'( X, Y ) ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20678, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ), X ) ] )
% 3.69/4.09 , clause( 20677, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 multiply( 'positive_part'( Y ), X ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1011, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ), X ) ] )
% 3.69/4.09 , clause( 20678, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.69/4.09 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20681, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 3.69/4.09 ), a ) ) ] )
% 3.69/4.09 , clause( 982, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 3.69/4.09 , multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, clause( 19, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a
% 3.69/4.09 ) ), a ) ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1016, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 3.69/4.09 ), a ) ) ] )
% 3.69/4.09 , clause( 20681, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a
% 3.69/4.09 ) ), a ) ) ] )
% 3.69/4.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20684, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 436, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20685, [ =( inverse( 'positive_part'( inverse( X ) ) ), multiply( X
% 3.69/4.09 , inverse( 'positive_part'( X ) ) ) ) ] )
% 3.69/4.09 , clause( 1008, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 3.69/4.09 'positive_part'( Y ) ) ] )
% 3.69/4.09 , 0, clause( 20684, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 3.69/4.09 ) ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, 'positive_part'( inverse( X ) ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20686, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20685, [ =( inverse( 'positive_part'( inverse( X ) ) ), multiply(
% 3.69/4.09 X, inverse( 'positive_part'( X ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1026, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20686, [ =( multiply( X, inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20688, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20690, [ =( inverse( inverse( X ) ), multiply( inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 998, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , 0, clause( 20688, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 3.69/4.09 ), X ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'positive_part'( X ) ), :=( Y, inverse( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20691, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) ) )
% 3.69/4.09 , 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 415, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , 0, clause( 20690, [ =( inverse( inverse( X ) ), multiply( inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20692, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.69/4.09 'positive_part'( X ) ), X ) ] )
% 3.69/4.09 , clause( 20691, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) )
% 3.69/4.09 ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1062, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.69/4.09 'positive_part'( X ) ), X ) ] )
% 3.69/4.09 , clause( 20692, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) )
% 3.69/4.09 , 'positive_part'( X ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20694, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , clause( 101, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20697, [ =( multiply( 'positive_part'( X ), inverse(
% 3.69/4.09 'positive_part'( X ) ) ), 'least_upper_bound'( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 3.69/4.09 , clause( 1026, [ =( multiply( X, inverse( 'positive_part'( X ) ) ),
% 3.69/4.09 inverse( 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, clause( 20694, [ =( multiply( 'positive_part'( X ), Y ),
% 3.69/4.09 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, inverse( 'positive_part'( X ) ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20698, [ =( identity, 'least_upper_bound'( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 3.69/4.09 , clause( 414, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20697, [ =( multiply( 'positive_part'( X ), inverse(
% 3.69/4.09 'positive_part'( X ) ) ), 'least_upper_bound'( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, 'positive_part'( X ) )] ), substitution(
% 3.69/4.09 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20699, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 3.69/4.09 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.69/4.09 , clause( 20698, [ =( identity, 'least_upper_bound'( inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ]
% 3.69/4.09 )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 1857, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 3.69/4.09 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.69/4.09 , clause( 20699, [ =( 'least_upper_bound'( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20701, [ =( 'positive_part'( multiply( X, Y ) ), multiply(
% 3.69/4.09 'least_upper_bound'( X, inverse( Y ) ), Y ) ) ] )
% 3.69/4.09 , clause( 99, [ =( multiply( 'least_upper_bound'( Y, inverse( X ) ), X ),
% 3.69/4.09 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20704, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), 'positive_part'( X ) ) ), multiply( identity,
% 3.69/4.09 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 1857, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 3.69/4.09 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20701, [ =( 'positive_part'( multiply( X, Y ) ), multiply(
% 3.69/4.09 'least_upper_bound'( X, inverse( Y ) ), Y ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 inverse( 'positive_part'( inverse( X ) ) ) ), :=( Y, 'positive_part'( X )
% 3.69/4.09 )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20705, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), 'positive_part'( X ) ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20704, [ =( 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ), multiply(
% 3.69/4.09 identity, 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, 'positive_part'( X ) )] ), substitution(
% 3.69/4.09 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20706, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , clause( 599, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20705, [ =( 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ),
% 3.69/4.09 'positive_part'( X ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 2841, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , clause( 20706, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20709, [ =( 'positive_part'( multiply( Y, X ) ), multiply(
% 3.69/4.09 'least_upper_bound'( inverse( X ), Y ), X ) ) ] )
% 3.69/4.09 , clause( 98, [ =( multiply( 'least_upper_bound'( inverse( X ), Y ), X ),
% 3.69/4.09 'positive_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20714, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), 'positive_part'( inverse( X ) ) ) ), multiply( identity,
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 1857, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 3.69/4.09 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20709, [ =( 'positive_part'( multiply( Y, X ) ), multiply(
% 3.69/4.09 'least_upper_bound'( inverse( X ), Y ), X ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'positive_part'( inverse( X ) ) ), :=( Y, inverse( 'positive_part'( X ) )
% 3.69/4.09 )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20715, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), 'positive_part'( inverse( X ) ) ) ), 'positive_part'( inverse( X )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20714, [ =( 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( inverse( X ) ) ) ), multiply(
% 3.69/4.09 identity, 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, 'positive_part'( inverse( X ) ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20716, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), inverse( X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 599, [ =( 'positive_part'( multiply( inverse( 'positive_part'( X
% 3.69/4.09 ) ), 'positive_part'( Y ) ) ), 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20715, [ =( 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), 'positive_part'( inverse( X ) ) ) ),
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20717, [ =( 'positive_part'( inverse( multiply( X, 'positive_part'(
% 3.69/4.09 X ) ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 437, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 3.69/4.09 multiply( X, Y ) ) ) ] )
% 3.69/4.09 , 0, clause( 20716, [ =( 'positive_part'( multiply( inverse(
% 3.69/4.09 'positive_part'( X ) ), inverse( X ) ) ), 'positive_part'( inverse( X ) )
% 3.69/4.09 ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'positive_part'( X ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20718, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X
% 3.69/4.09 ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 990, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 3.69/4.09 'positive_part'( X ), X ) ) ] )
% 3.69/4.09 , 0, clause( 20717, [ =( 'positive_part'( inverse( multiply( X,
% 3.69/4.09 'positive_part'( X ) ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 2842, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X )
% 3.69/4.09 , X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 20718, [ =( 'positive_part'( inverse( multiply( 'positive_part'(
% 3.69/4.09 X ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20721, [ =( 'positive_part'( X ), 'positive_part'( multiply(
% 3.69/4.09 inverse( 'positive_part'( inverse( X ) ) ), X ) ) ) ] )
% 3.69/4.09 , clause( 2841, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20727, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 3.69/4.09 , 'positive_part'( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.69/4.09 multiply( 'positive_part'( X ), X ) ) ) ) ] )
% 3.69/4.09 , clause( 2842, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X
% 3.69/4.09 ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 3.69/4.09 , 0, clause( 20721, [ =( 'positive_part'( X ), 'positive_part'( multiply(
% 3.69/4.09 inverse( 'positive_part'( inverse( X ) ) ), X ) ) ) ] )
% 3.69/4.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 multiply( 'positive_part'( X ), X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20728, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 3.69/4.09 , 'positive_part'( multiply( multiply( inverse( 'positive_part'( inverse(
% 3.69/4.09 X ) ) ), 'positive_part'( X ) ), X ) ) ) ] )
% 3.69/4.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 3.69/4.09 ), Z ) ) ] )
% 3.69/4.09 , 0, clause( 20727, [ =( 'positive_part'( multiply( 'positive_part'( X ), X
% 3.69/4.09 ) ), 'positive_part'( multiply( inverse( 'positive_part'( inverse( X ) )
% 3.69/4.09 ), multiply( 'positive_part'( X ), X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, inverse( 'positive_part'( inverse( X ) )
% 3.69/4.09 ) ), :=( Y, 'positive_part'( X ) ), :=( Z, X )] ), substitution( 1, [
% 3.69/4.09 :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20729, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 3.69/4.09 , 'positive_part'( multiply( X, X ) ) ) ] )
% 3.69/4.09 , clause( 1062, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.69/4.09 'positive_part'( X ) ), X ) ] )
% 3.69/4.09 , 0, clause( 20728, [ =( 'positive_part'( multiply( 'positive_part'( X ), X
% 3.69/4.09 ) ), 'positive_part'( multiply( multiply( inverse( 'positive_part'(
% 3.69/4.09 inverse( X ) ) ), 'positive_part'( X ) ), X ) ) ) ] )
% 3.69/4.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 4261, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) ),
% 3.69/4.09 'positive_part'( multiply( X, X ) ) ) ] )
% 3.69/4.09 , clause( 20729, [ =( 'positive_part'( multiply( 'positive_part'( X ), X )
% 3.69/4.09 ), 'positive_part'( multiply( X, X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20732, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ) ) ] )
% 3.69/4.09 , clause( 1011, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 'positive_part'( Y ), X ) ) ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20733, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 X, X ) ) ) ) ] )
% 3.69/4.09 , clause( 4261, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 3.69/4.09 , 'positive_part'( multiply( X, X ) ) ) ] )
% 3.69/4.09 , 0, clause( 20732, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 multiply( 'positive_part'( Y ), X ) ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 3.69/4.09 :=( Y, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20735, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 3.69/4.09 , X ) ) ), X ) ] )
% 3.69/4.09 , clause( 20733, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 3.69/4.09 multiply( X, X ) ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 4307, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 3.69/4.09 , X ) ) ), X ) ] )
% 3.69/4.09 , clause( 20735, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 X, X ) ) ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20738, [ =( 'negative_part'( multiply( Y, X ) ), multiply(
% 3.69/4.09 'greatest_lower_bound'( inverse( X ), Y ), X ) ) ] )
% 3.69/4.09 , clause( 122, [ =( multiply( 'greatest_lower_bound'( inverse( X ), Y ), X
% 3.69/4.09 ), 'negative_part'( multiply( Y, X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20742, [ =( 'negative_part'( multiply( 'positive_part'( multiply(
% 3.69/4.09 inverse( X ), inverse( X ) ) ), X ) ), multiply( inverse( X ), X ) ) ] )
% 3.69/4.09 , clause( 4307, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 3.69/4.09 X, X ) ) ), X ) ] )
% 3.69/4.09 , 0, clause( 20738, [ =( 'negative_part'( multiply( Y, X ) ), multiply(
% 3.69/4.09 'greatest_lower_bound'( inverse( X ), Y ), X ) ) ] )
% 3.69/4.09 , 0, 11, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 3.69/4.09 :=( X, X ), :=( Y, 'positive_part'( multiply( inverse( X ), inverse( X )
% 3.69/4.09 ) ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20743, [ =( 'negative_part'( multiply( 'positive_part'( multiply(
% 3.69/4.09 inverse( X ), inverse( X ) ) ), X ) ), identity ) ] )
% 3.69/4.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 3.69/4.09 , 0, clause( 20742, [ =( 'negative_part'( multiply( 'positive_part'(
% 3.69/4.09 multiply( inverse( X ), inverse( X ) ) ), X ) ), multiply( inverse( X ),
% 3.69/4.09 X ) ) ] )
% 3.69/4.09 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20744, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 3.69/4.09 ), identity ) ] )
% 3.69/4.09 , clause( 1007, [ =( multiply( 'positive_part'( multiply( X, inverse( Y ) )
% 3.69/4.09 ), Y ), 'least_upper_bound'( Y, X ) ) ] )
% 3.69/4.09 , 0, clause( 20743, [ =( 'negative_part'( multiply( 'positive_part'(
% 3.69/4.09 multiply( inverse( X ), inverse( X ) ) ), X ) ), identity ) ] )
% 3.69/4.09 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20745, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 3.69/4.09 ) ) ), identity ) ] )
% 3.69/4.09 , clause( 875, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 3.69/4.09 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, clause( 20744, [ =( 'negative_part'( 'least_upper_bound'( X, inverse(
% 3.69/4.09 X ) ) ), identity ) ] )
% 3.69/4.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 4324, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X )
% 3.69/4.09 ) ), identity ) ] )
% 3.69/4.09 , clause( 20745, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse(
% 3.69/4.09 X ) ) ), identity ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20749, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , clause( 4324, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 3.69/4.09 ) ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 992, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 3.69/4.09 inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 20026, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , clause( 20749, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20752, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 430, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20755, [ =( inverse( 'negative_part'( X ) ), multiply( inverse(
% 3.69/4.09 identity ), 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 20026, [ =( multiply( 'positive_part'( inverse( X ) ),
% 3.69/4.09 'negative_part'( X ) ), identity ) ] )
% 3.69/4.09 , 0, clause( 20752, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 3.69/4.09 ), X ) ) ] )
% 3.69/4.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 3.69/4.09 'positive_part'( inverse( X ) ) ), :=( Y, 'negative_part'( X ) )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20756, [ =( inverse( 'negative_part'( X ) ), multiply( identity,
% 3.69/4.09 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , clause( 416, [ =( inverse( identity ), identity ) ] )
% 3.69/4.09 , 0, clause( 20755, [ =( inverse( 'negative_part'( X ) ), multiply( inverse(
% 3.69/4.09 identity ), 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20757, [ =( inverse( 'negative_part'( X ) ), 'positive_part'(
% 3.69/4.09 inverse( X ) ) ) ] )
% 3.69/4.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 3.69/4.09 , 0, clause( 20756, [ =( inverse( 'negative_part'( X ) ), multiply(
% 3.69/4.09 identity, 'positive_part'( inverse( X ) ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, 'positive_part'( inverse( X ) ) )] ),
% 3.69/4.09 substitution( 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20758, [ =( 'positive_part'( inverse( X ) ), inverse(
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 20757, [ =( inverse( 'negative_part'( X ) ), 'positive_part'(
% 3.69/4.09 inverse( X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 20077, [ =( 'positive_part'( inverse( X ) ), inverse(
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 20758, [ =( 'positive_part'( inverse( X ) ), inverse(
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20760, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) ) )
% 3.69/4.09 , 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 1062, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 3.69/4.09 'positive_part'( X ) ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20762, [ =( X, multiply( inverse( inverse( 'negative_part'( X ) ) )
% 3.69/4.09 , 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , clause( 20077, [ =( 'positive_part'( inverse( X ) ), inverse(
% 3.69/4.09 'negative_part'( X ) ) ) ] )
% 3.69/4.09 , 0, clause( 20760, [ =( X, multiply( inverse( 'positive_part'( inverse( X
% 3.69/4.09 ) ) ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 3.69/4.09 ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 paramod(
% 3.69/4.09 clause( 20769, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 415, [ =( inverse( inverse( X ) ), X ) ] )
% 3.69/4.09 , 0, clause( 20762, [ =( X, multiply( inverse( inverse( 'negative_part'( X
% 3.69/4.09 ) ) ), 'positive_part'( X ) ) ) ] )
% 3.69/4.09 , 0, 3, substitution( 0, [ :=( X, 'negative_part'( X ) )] ), substitution(
% 3.69/4.09 1, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20770, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , clause( 20769, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X
% 3.69/4.09 ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 20113, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 3.69/4.09 , X ) ] )
% 3.69/4.09 , clause( 20770, [ =( multiply( 'negative_part'( X ), 'positive_part'( X )
% 3.69/4.09 ), X ) ] )
% 3.69/4.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20771, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X )
% 3.69/4.09 ) ) ] )
% 3.69/4.09 , clause( 20113, [ =( multiply( 'negative_part'( X ), 'positive_part'( X )
% 3.69/4.09 ), X ) ] )
% 3.69/4.09 , 0, substitution( 0, [ :=( X, X )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 eqswap(
% 3.69/4.09 clause( 20772, [ ~( =( a, multiply( 'negative_part'( a ), 'positive_part'(
% 3.69/4.09 a ) ) ) ) ] )
% 3.69/4.09 , clause( 1016, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a
% 3.69/4.09 ) ), a ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 resolution(
% 3.69/4.09 clause( 20773, [] )
% 3.69/4.09 , clause( 20772, [ ~( =( a, multiply( 'negative_part'( a ), 'positive_part'(
% 3.69/4.09 a ) ) ) ) ] )
% 3.69/4.09 , 0, clause( 20771, [ =( X, multiply( 'negative_part'( X ), 'positive_part'(
% 3.69/4.09 X ) ) ) ] )
% 3.69/4.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 subsumption(
% 3.69/4.09 clause( 20117, [] )
% 3.69/4.09 , clause( 20773, [] )
% 3.69/4.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 end.
% 3.69/4.09
% 3.69/4.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.69/4.09
% 3.69/4.09 Memory use:
% 3.69/4.09
% 3.69/4.09 space for terms: 273379
% 3.69/4.09 space for clauses: 2139057
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 clauses generated: 496205
% 3.69/4.09 clauses kept: 20118
% 3.69/4.09 clauses selected: 1187
% 3.69/4.09 clauses deleted: 1307
% 3.69/4.09 clauses inuse deleted: 37
% 3.69/4.09
% 3.69/4.09 subsentry: 19789
% 3.69/4.09 literals s-matched: 18484
% 3.69/4.09 literals matched: 18468
% 3.69/4.09 full subsumption: 0
% 3.69/4.09
% 3.69/4.09 checksum: 1414325492
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Bliksem ended
%------------------------------------------------------------------------------