TSTP Solution File: GRP167-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:35:42 EDT 2022
% Result : Unsatisfiable 2.54s 2.93s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 04:02:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.54/2.93 *** allocated 10000 integers for termspace/termends
% 2.54/2.93 *** allocated 10000 integers for clauses
% 2.54/2.93 *** allocated 10000 integers for justifications
% 2.54/2.93 Bliksem 1.12
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Automatic Strategy Selection
% 2.54/2.93
% 2.54/2.93 Clauses:
% 2.54/2.93 [
% 2.54/2.93 [ =( multiply( identity, X ), X ) ],
% 2.54/2.93 [ =( multiply( inverse( X ), X ), identity ) ],
% 2.54/2.93 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 2.54/2.93 ],
% 2.54/2.93 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 2.54/2.93 ,
% 2.54/2.93 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 2.54/2.93 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.93 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 2.54/2.93 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 2.54/2.93 [ =( 'least_upper_bound'( X, X ), X ) ],
% 2.54/2.93 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 2.54/2.93 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 2.54/2.93 ,
% 2.54/2.93 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 2.54/2.93 ,
% 2.54/2.93 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 2.54/2.93 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.54/2.93 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.54/2.93 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 2.54/2.93 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.54/2.93 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.54/2.93 [ =( inverse( identity ), identity ) ],
% 2.54/2.93 [ =( inverse( inverse( X ) ), X ) ],
% 2.54/2.93 [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), inverse( X ) )
% 2.54/2.93 ) ],
% 2.54/2.93 [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity ) ) ],
% 2.54/2.93 [ =( 'negative_part'( X ), 'greatest_lower_bound'( X, identity ) ) ]
% 2.54/2.93 ,
% 2.54/2.93 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.93 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.54/2.93 X, Z ) ) ) ],
% 2.54/2.93 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ) ) ],
% 2.54/2.93 [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'( a ) ) ) ) ]
% 2.54/2.93
% 2.54/2.93 ] .
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 percentage equality = 1.000000, percentage horn = 1.000000
% 2.54/2.93 This is a pure equality problem
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Options Used:
% 2.54/2.93
% 2.54/2.93 useres = 1
% 2.54/2.93 useparamod = 1
% 2.54/2.93 useeqrefl = 1
% 2.54/2.93 useeqfact = 1
% 2.54/2.93 usefactor = 1
% 2.54/2.93 usesimpsplitting = 0
% 2.54/2.93 usesimpdemod = 5
% 2.54/2.93 usesimpres = 3
% 2.54/2.93
% 2.54/2.93 resimpinuse = 1000
% 2.54/2.93 resimpclauses = 20000
% 2.54/2.93 substype = eqrewr
% 2.54/2.93 backwardsubs = 1
% 2.54/2.93 selectoldest = 5
% 2.54/2.93
% 2.54/2.93 litorderings [0] = split
% 2.54/2.93 litorderings [1] = extend the termordering, first sorting on arguments
% 2.54/2.93
% 2.54/2.93 termordering = kbo
% 2.54/2.93
% 2.54/2.93 litapriori = 0
% 2.54/2.93 termapriori = 1
% 2.54/2.93 litaposteriori = 0
% 2.54/2.93 termaposteriori = 0
% 2.54/2.93 demodaposteriori = 0
% 2.54/2.93 ordereqreflfact = 0
% 2.54/2.93
% 2.54/2.93 litselect = negord
% 2.54/2.93
% 2.54/2.93 maxweight = 15
% 2.54/2.93 maxdepth = 30000
% 2.54/2.93 maxlength = 115
% 2.54/2.93 maxnrvars = 195
% 2.54/2.93 excuselevel = 1
% 2.54/2.93 increasemaxweight = 1
% 2.54/2.93
% 2.54/2.93 maxselected = 10000000
% 2.54/2.93 maxnrclauses = 10000000
% 2.54/2.93
% 2.54/2.93 showgenerated = 0
% 2.54/2.93 showkept = 0
% 2.54/2.93 showselected = 0
% 2.54/2.93 showdeleted = 0
% 2.54/2.93 showresimp = 1
% 2.54/2.93 showstatus = 2000
% 2.54/2.93
% 2.54/2.93 prologoutput = 1
% 2.54/2.93 nrgoals = 5000000
% 2.54/2.93 totalproof = 1
% 2.54/2.93
% 2.54/2.93 Symbols occurring in the translation:
% 2.54/2.93
% 2.54/2.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.54/2.93 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 2.54/2.93 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 2.54/2.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.54/2.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.54/2.93 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.54/2.93 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.54/2.93 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 2.54/2.93 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.54/2.93 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.54/2.93 'positive_part' [47, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.54/2.93 'negative_part' [48, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.54/2.93 a [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Starting Search:
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 21717
% 2.54/2.93 Kept: 2006
% 2.54/2.93 Inuse: 258
% 2.54/2.93 Deleted: 18
% 2.54/2.93 Deletedinuse: 5
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 46742
% 2.54/2.93 Kept: 4011
% 2.54/2.93 Inuse: 377
% 2.54/2.93 Deleted: 33
% 2.54/2.93 Deletedinuse: 9
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 72035
% 2.54/2.93 Kept: 6026
% 2.54/2.93 Inuse: 481
% 2.54/2.93 Deleted: 35
% 2.54/2.93 Deletedinuse: 9
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 120276
% 2.54/2.93 Kept: 8041
% 2.54/2.93 Inuse: 609
% 2.54/2.93 Deleted: 42
% 2.54/2.93 Deletedinuse: 12
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 175400
% 2.54/2.93 Kept: 10051
% 2.54/2.93 Inuse: 741
% 2.54/2.93 Deleted: 68
% 2.54/2.93 Deletedinuse: 22
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 202724
% 2.54/2.93 Kept: 12054
% 2.54/2.93 Inuse: 790
% 2.54/2.93 Deleted: 73
% 2.54/2.93 Deletedinuse: 23
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 275191
% 2.54/2.93 Kept: 14054
% 2.54/2.93 Inuse: 886
% 2.54/2.93 Deleted: 77
% 2.54/2.93 Deletedinuse: 23
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 332339
% 2.54/2.93 Kept: 16062
% 2.54/2.93 Inuse: 985
% 2.54/2.93 Deleted: 97
% 2.54/2.93 Deletedinuse: 26
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 407286
% 2.54/2.93 Kept: 18089
% 2.54/2.93 Inuse: 1092
% 2.54/2.93 Deleted: 106
% 2.54/2.93 Deletedinuse: 27
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying inuse:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93 Resimplifying clauses:
% 2.54/2.93 Done
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Intermediate Status:
% 2.54/2.93 Generated: 482616
% 2.54/2.93 Kept: 20108
% 2.54/2.93 Inuse: 1184
% 2.54/2.93 Deleted: 1189
% 2.54/2.93 Deletedinuse: 29
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 Bliksems!, er is een bewijs:
% 2.54/2.93 % SZS status Unsatisfiable
% 2.54/2.93 % SZS output start Refutation
% 2.54/2.93
% 2.54/2.93 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.54/2.93 , Z ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.54/2.93 ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.54/2.93 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.54/2.93 ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.54/2.93 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.93 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.54/2.93 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.54/2.93 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 2.54/2.93 ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 2.54/2.93 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 21, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 2.54/2.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 22, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 2.54/2.93 , a ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.54/2.93 , identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 27, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 29, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 2.54/2.93 ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 38, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 42, [ =( 'greatest_lower_bound'( X, 'positive_part'( X ) ), X ) ]
% 2.54/2.93 )
% 2.54/2.93 .
% 2.54/2.93 clause( 43, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 2.54/2.93 'positive_part'( X ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 46, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.93 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.93 'least_upper_bound'( X, Y ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 66, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 70, [ =( 'least_upper_bound'( X, 'negative_part'( X ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 73, [ =( 'positive_part'( 'positive_part'( X ) ), 'positive_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 81, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.54/2.93 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 82, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.54/2.93 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 95, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 2.54/2.93 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 109, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'( X
% 2.54/2.93 ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 111, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 2.54/2.93 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.93 'positive_part'( Y ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 123, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.54/2.93 'positive_part'( Y ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 133, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.93 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 144, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) )
% 2.54/2.93 , 'negative_part'( multiply( Y, inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 147, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.93 'negative_part'( Y ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 177, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.54/2.93 inverse( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 178, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.54/2.93 Y ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 179, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.93 X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 2.54/2.93 'positive_part'( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 185, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 2.54/2.93 'positive_part'( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 211, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.93 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 2.54/2.93 ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 266, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.93 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.93 ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 310, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 2.54/2.93 ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 350, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 410, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.54/2.93 ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 497, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.93 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 522, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.93 inverse( 'positive_part'( X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 541, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 2.54/2.93 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 690, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 2.54/2.93 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 815, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.93 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.93 inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 823, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 2.54/2.93 'negative_part'( X ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 839, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.93 'negative_part'( Y ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 848, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) )
% 2.54/2.93 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 849, [ =( 'negative_part'( 'least_upper_bound'( inverse( X ), X ) )
% 2.54/2.93 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 957, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ),
% 2.54/2.93 multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 961, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 2.54/2.93 'positive_part'( X ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 962, [ =( 'positive_part'( multiply( 'positive_part'( Y ), inverse(
% 2.54/2.93 'positive_part'( X ) ) ) ), 'positive_part'( multiply( Y, inverse(
% 2.54/2.93 'positive_part'( X ) ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 966, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.93 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.93 inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 975, [ =( multiply( 'positive_part'( multiply( X, Y ) ), inverse( Y
% 2.54/2.93 ) ), 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 981, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 2.54/2.93 'positive_part'( Y ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 985, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.93 'positive_part'( Y ), X ) ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 989, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.93 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 990, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 2.54/2.93 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1007, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 2.54/2.93 ), a ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1024, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.93 'positive_part'( X ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1602, [ =( multiply( X, inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.93 ), multiply( inverse( 'positive_part'( inverse( X ) ) ), X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1648, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 2.54/2.93 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1912, [ =( inverse( 'greatest_lower_bound'( Z, Y ) ), inverse(
% 2.54/2.93 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1934, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.93 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 1945, [ =( 'negative_part'( multiply( 'positive_part'( Y ), inverse(
% 2.54/2.93 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 2788, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 2.54/2.93 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 2790, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X )
% 2.54/2.93 , X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 4309, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) ),
% 2.54/2.93 'positive_part'( multiply( X, X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 4385, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 2.54/2.93 , X ) ) ), X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 4401, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X )
% 2.54/2.93 ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 20102, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.93 'negative_part'( X ) ), identity ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 20140, [ =( 'positive_part'( inverse( X ) ), inverse(
% 2.54/2.93 'negative_part'( X ) ) ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 20176, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 2.54/2.93 , X ) ] )
% 2.54/2.93 .
% 2.54/2.93 clause( 20180, [] )
% 2.54/2.93 .
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 % SZS output end Refutation
% 2.54/2.93 found a proof!
% 2.54/2.93
% 2.54/2.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.54/2.93
% 2.54/2.93 initialclauses(
% 2.54/2.93 [ clause( 20182, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.93 , clause( 20183, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , clause( 20184, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.54/2.93 multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20185, [ =( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( Y, X ) ) ] )
% 2.54/2.93 , clause( 20186, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , clause( 20187, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.54/2.93 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.54/2.93 )
% 2.54/2.93 , clause( 20188, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.54/2.93 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20189, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 2.54/2.93 , clause( 20190, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.54/2.93 , clause( 20191, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.54/2.93 ) ), X ) ] )
% 2.54/2.93 , clause( 20192, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ), X ) ] )
% 2.54/2.93 , clause( 20193, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.93 , clause( 20194, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.93 , clause( 20195, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.54/2.93 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20196, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20197, [ =( inverse( identity ), identity ) ] )
% 2.54/2.93 , clause( 20198, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.93 , clause( 20199, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.54/2.93 inverse( X ) ) ) ] )
% 2.54/2.93 , clause( 20200, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , clause( 20201, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , clause( 20202, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 2.54/2.93 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ) ) ] )
% 2.54/2.93 , clause( 20203, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 2.54/2.93 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ) ) ] )
% 2.54/2.93 , clause( 20204, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 2.54/2.93 a ) ) ) ) ] )
% 2.54/2.93 ] ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.93 , clause( 20182, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , clause( 20183, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20210, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 2.54/2.93 , Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20184, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.54/2.93 multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.54/2.93 , Z ) ) ] )
% 2.54/2.93 , clause( 20210, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 2.54/2.93 X, Y ), Z ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , clause( 20185, [ =( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( Y, X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.54/2.93 ] )
% 2.54/2.93 , clause( 20186, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 2.54/2.93 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20187, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.54/2.93 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.54/2.93 )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20188, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.54/2.93 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 2.54/2.93 ) ] )
% 2.54/2.93 , clause( 20191, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.54/2.93 ) ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 , clause( 20192, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20252, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.93 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20193, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 2.54/2.93 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20252, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 2.54/2.93 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20263, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 2.54/2.93 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20194, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.93 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20263, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 2.54/2.93 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20275, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.54/2.93 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20195, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.54/2.93 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 2.54/2.93 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20275, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 2.54/2.93 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20288, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 2.54/2.93 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20196, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.54/2.93 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.54/2.93 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , clause( 20288, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 2.54/2.93 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.54/2.93 , clause( 20197, [ =( inverse( identity ), identity ) ] )
% 2.54/2.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.93 , clause( 20198, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20333, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.93 multiply( X, Y ) ) ) ] )
% 2.54/2.93 , clause( 20199, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ),
% 2.54/2.93 inverse( X ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 , clause( 20333, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.93 multiply( X, Y ) ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20350, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 20200, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 2.54/2.93 ] )
% 2.54/2.93 , clause( 20350, [ =( 'least_upper_bound'( X, identity ), 'positive_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20368, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , clause( 20201, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 20368, [ =( 'greatest_lower_bound'( X, identity ),
% 2.54/2.93 'negative_part'( X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20387, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 2.54/2.93 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20202, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z
% 2.54/2.93 ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 2.54/2.93 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20387, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 2.54/2.93 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20407, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 2.54/2.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20203, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z
% 2.54/2.93 ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 21, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 2.54/2.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 20407, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.93 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 2.54/2.93 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20428, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a )
% 2.54/2.93 ), a ) ) ] )
% 2.54/2.93 , clause( 20204, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 2.54/2.93 a ) ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 22, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 2.54/2.93 , a ) ) ] )
% 2.54/2.93 , clause( 20428, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a
% 2.54/2.93 ) ), a ) ) ] )
% 2.54/2.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20430, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.54/2.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20431, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.54/2.93 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.93 , 0, clause( 20430, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 2.54/2.93 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.54/2.93 X ) )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20432, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.93 , clause( 20431, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.93 , clause( 20432, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20433, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.54/2.93 Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.54/2.93 ), Z ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20436, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.54/2.93 ), identity ) ] )
% 2.54/2.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , 0, clause( 20433, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.54/2.93 multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 2.54/2.93 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 2.54/2.93 , identity ) ] )
% 2.54/2.93 , clause( 20436, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X )
% 2.54/2.93 , Y ), identity ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20442, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.54/2.93 Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.54/2.93 ), Z ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20447, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.54/2.93 , identity ) ) ] )
% 2.54/2.93 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.93 , 0, clause( 20442, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.54/2.93 multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.93 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 27, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , clause( 20447, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.54/2.93 X, identity ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20452, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.54/2.93 Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.54/2.93 ), Z ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20455, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 2.54/2.93 , identity ) ) ] )
% 2.54/2.93 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.93 , 0, clause( 20452, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.54/2.93 multiply( Y, Z ) ) ) ] )
% 2.54/2.93 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.93 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 29, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply( Y,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , clause( 20455, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply(
% 2.54/2.93 X, identity ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20459, [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20460, [ =( 'positive_part'( X ), 'least_upper_bound'( identity, X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, clause( 20459, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.54/2.93 1, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20463, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 20460, [ =( 'positive_part'( X ), 'least_upper_bound'( identity,
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 2.54/2.93 ] )
% 2.54/2.93 , clause( 20463, [ =( 'least_upper_bound'( identity, X ), 'positive_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20464, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20465, [ =( 'negative_part'( X ), 'greatest_lower_bound'( identity
% 2.54/2.93 , X ) ) ] )
% 2.54/2.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.54/2.93 , X ) ) ] )
% 2.54/2.93 , 0, clause( 20464, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 2.54/2.93 identity ) ) ] )
% 2.54/2.93 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.54/2.93 1, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20468, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , clause( 20465, [ =( 'negative_part'( X ), 'greatest_lower_bound'(
% 2.54/2.93 identity, X ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 2.54/2.93 ) ) ] )
% 2.54/2.93 , clause( 20468, [ =( 'greatest_lower_bound'( identity, X ),
% 2.54/2.93 'negative_part'( X ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20469, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ) ) ] )
% 2.54/2.93 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.54/2.93 , X ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20472, [ =( identity, 'negative_part'( 'least_upper_bound'(
% 2.54/2.93 identity, X ) ) ) ] )
% 2.54/2.93 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.93 X ) ) ] )
% 2.54/2.93 , 0, clause( 20469, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 , 0, 2, substitution( 0, [ :=( X, 'least_upper_bound'( identity, X ) )] ),
% 2.54/2.93 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20473, [ =( identity, 'negative_part'( 'positive_part'( X ) ) ) ]
% 2.54/2.93 )
% 2.54/2.93 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, clause( 20472, [ =( identity, 'negative_part'( 'least_upper_bound'(
% 2.54/2.93 identity, X ) ) ) ] )
% 2.54/2.93 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.93 ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20474, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ]
% 2.54/2.93 )
% 2.54/2.93 , clause( 20473, [ =( identity, 'negative_part'( 'positive_part'( X ) ) ) ]
% 2.54/2.93 )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 38, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 2.54/2.93 , clause( 20474, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ]
% 2.54/2.93 )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20475, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ) ) ] )
% 2.54/2.93 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.54/2.93 , X ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20476, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 2.54/2.93 , X ) ) ] )
% 2.54/2.93 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.54/2.93 , X ) ) ] )
% 2.54/2.93 , 0, clause( 20475, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 2.54/2.93 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20479, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 2.54/2.93 ), X ) ] )
% 2.54/2.93 , clause( 20476, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y
% 2.54/2.93 ), X ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 , clause( 20479, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.93 X ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20480, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ) ) ] )
% 2.54/2.93 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.54/2.93 , X ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20481, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.54/2.93 ) ) ) ] )
% 2.54/2.93 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, clause( 20480, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.93 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20484, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 2.54/2.93 ), X ) ] )
% 2.54/2.93 , clause( 20481, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.54/2.93 , X ) ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 2.54/2.93 X ) ] )
% 2.54/2.93 , clause( 20484, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.54/2.93 ) ), X ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20486, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.54/2.93 ) ) ) ] )
% 2.54/2.93 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 2.54/2.93 , X ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20487, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( X ) ) )
% 2.54/2.93 ] )
% 2.54/2.93 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, clause( 20486, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.54/2.93 X, Y ) ) ) ] )
% 2.54/2.93 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.93 :=( Y, identity )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20488, [ =( 'greatest_lower_bound'( X, 'positive_part'( X ) ), X )
% 2.54/2.93 ] )
% 2.54/2.93 , clause( 20487, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( X ) )
% 2.54/2.93 ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 42, [ =( 'greatest_lower_bound'( X, 'positive_part'( X ) ), X ) ]
% 2.54/2.93 )
% 2.54/2.93 , clause( 20488, [ =( 'greatest_lower_bound'( X, 'positive_part'( X ) ), X
% 2.54/2.93 ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20490, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.54/2.93 , Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.54/2.93 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20493, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y )
% 2.54/2.93 , 'positive_part'( Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.54/2.93 , clause( 42, [ =( 'greatest_lower_bound'( X, 'positive_part'( X ) ), X ) ]
% 2.54/2.93 )
% 2.54/2.93 , 0, clause( 20490, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X
% 2.54/2.93 , Y ), Z ), 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ) )
% 2.54/2.93 ] )
% 2.54/2.93 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.93 :=( Y, Y ), :=( Z, 'positive_part'( Y ) )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 subsumption(
% 2.54/2.93 clause( 43, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 2.54/2.93 'positive_part'( X ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.54/2.93 , clause( 20493, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y
% 2.54/2.93 ), 'positive_part'( Y ) ), 'greatest_lower_bound'( X, Y ) ) ] )
% 2.54/2.93 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.93 )] ) ).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 eqswap(
% 2.54/2.93 clause( 20497, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 2.54/2.93 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.93 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.93 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.93
% 2.54/2.93
% 2.54/2.93 paramod(
% 2.54/2.93 clause( 20501, [ =( 'least_upper_bound'( 'least_upper_bound'( identity, X )
% 2.54/2.93 , Y ), 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.93 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20497, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.94 Z ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, identity ), :=( Y, X ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20504, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.94 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20501, [ =( 'least_upper_bound'( 'least_upper_bound'( identity
% 2.54/2.94 , X ), Y ), 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 46, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.94 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 20504, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.94 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20507, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20510, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.54/2.94 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.54/2.94 , clause( 40, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , 0, clause( 20507, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.54/2.94 X, Y ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20511, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ] )
% 2.54/2.94 , clause( 20510, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 2.54/2.94 'least_upper_bound'( X, Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ] )
% 2.54/2.94 , clause( 20511, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 2.54/2.94 , 'least_upper_bound'( X, Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20513, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20515, [ =( identity, 'least_upper_bound'( identity,
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20513, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.54/2.94 X, Y ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 identity ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20516, [ =( identity, 'positive_part'( 'negative_part'( X ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20515, [ =( identity, 'least_upper_bound'( identity,
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, 'negative_part'( X ) )] ), substitution(
% 2.54/2.94 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20517, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 20516, [ =( identity, 'positive_part'( 'negative_part'( X ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 66, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , clause( 20517, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ]
% 2.54/2.94 )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20519, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20520, [ =( X, 'least_upper_bound'( X, 'negative_part'( X ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20519, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 2.54/2.94 X, Y ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, identity )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20521, [ =( 'least_upper_bound'( X, 'negative_part'( X ) ), X ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 20520, [ =( X, 'least_upper_bound'( X, 'negative_part'( X ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 70, [ =( 'least_upper_bound'( X, 'negative_part'( X ) ), X ) ] )
% 2.54/2.94 , clause( 20521, [ =( 'least_upper_bound'( X, 'negative_part'( X ) ), X ) ]
% 2.54/2.94 )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20523, [ =( X, 'least_upper_bound'( X, 'negative_part'( X ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 70, [ =( 'least_upper_bound'( X, 'negative_part'( X ) ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20525, [ =( 'positive_part'( X ), 'least_upper_bound'(
% 2.54/2.94 'positive_part'( X ), identity ) ) ] )
% 2.54/2.94 , clause( 38, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20523, [ =( X, 'least_upper_bound'( X, 'negative_part'( X ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'positive_part'( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20526, [ =( 'positive_part'( X ), 'positive_part'( 'positive_part'(
% 2.54/2.94 X ) ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20525, [ =( 'positive_part'( X ), 'least_upper_bound'(
% 2.54/2.94 'positive_part'( X ), identity ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, 'positive_part'( X ) )] ), substitution(
% 2.54/2.94 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20527, [ =( 'positive_part'( 'positive_part'( X ) ),
% 2.54/2.94 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 20526, [ =( 'positive_part'( X ), 'positive_part'(
% 2.54/2.94 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 73, [ =( 'positive_part'( 'positive_part'( X ) ), 'positive_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , clause( 20527, [ =( 'positive_part'( 'positive_part'( X ) ),
% 2.54/2.94 'positive_part'( X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20529, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20532, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.94 , 0, clause( 20529, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.54/2.94 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20534, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20532, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y
% 2.54/2.94 ) ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 81, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 20534, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 2.54/2.94 , 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20537, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20541, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.54/2.94 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 2.54/2.94 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.54/2.94 , 0, clause( 20537, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20542, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20541, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X
% 2.54/2.94 ) ), 'least_upper_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 82, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 20542, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) )
% 2.54/2.94 , 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20544, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.54/2.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20546, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 2.54/2.94 , X ) ) ] )
% 2.54/2.94 , 0, clause( 20544, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20548, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 2.54/2.94 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.54/2.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, clause( 20546, [ =( multiply( X, 'greatest_lower_bound'( Z, Y ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 95, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply( X
% 2.54/2.94 , 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 20548, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.94 multiply( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.54/2.94 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20550, [ =( 'positive_part'( 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'least_upper_bound'( 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , clause( 46, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.94 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20552, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 2.54/2.94 X ), Y ) ), 'least_upper_bound'( identity, Y ) ) ] )
% 2.54/2.94 , clause( 66, [ =( 'positive_part'( 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20550, [ =( 'positive_part'( 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'least_upper_bound'( 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'negative_part'( X ) ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20553, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 2.54/2.94 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20552, [ =( 'positive_part'( 'least_upper_bound'(
% 2.54/2.94 'negative_part'( X ), Y ) ), 'least_upper_bound'( identity, Y ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 109, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'( X
% 2.54/2.94 ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 20553, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 2.54/2.94 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20556, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , clause( 41, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20557, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , clause( 46, [ =( 'least_upper_bound'( 'positive_part'( X ), Y ),
% 2.54/2.94 'positive_part'( 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20556, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 2.54/2.94 Y, X ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, 'positive_part'( Y ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20558, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ), X ) ] )
% 2.54/2.94 , clause( 20557, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 111, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 2.54/2.94 , clause( 20558, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20560, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.54/2.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20562, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 2.54/2.94 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.94 , 0, clause( 20560, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 2.54/2.94 identity ), :=( Y, Y ), :=( Z, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20564, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20562, [ =( multiply( 'least_upper_bound'( identity, X ), Y )
% 2.54/2.94 , 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20565, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.54/2.94 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , clause( 20564, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , clause( 20565, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 2.54/2.94 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20567, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.54/2.94 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20570, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.94 , 0, clause( 20567, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y ), :=( Z, identity )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20571, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20570, [ =( multiply( 'least_upper_bound'( X, identity ), Y )
% 2.54/2.94 , 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20572, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 2.54/2.94 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , clause( 20571, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 123, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , clause( 20572, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 2.54/2.94 'positive_part'( X ), Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20574, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , clause( 111, [ =( 'greatest_lower_bound'( Y, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), Y ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20575, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.54/2.94 , clause( 64, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ] )
% 2.54/2.94 , 0, clause( 20574, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20576, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 2.54/2.94 , clause( 20575, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 133, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 2.54/2.94 , clause( 20576, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20578, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.54/2.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20582, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 2.54/2.94 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20578, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20583, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 2.54/2.94 ), 'negative_part'( multiply( X, inverse( Y ) ) ) ) ] )
% 2.54/2.94 , clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20582, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.94 Y ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, multiply( X, inverse( Y ) ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 144, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) )
% 2.54/2.94 , 'negative_part'( multiply( Y, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20583, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y
% 2.54/2.94 ) ), 'negative_part'( multiply( X, inverse( Y ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20586, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.54/2.94 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20588, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 2.54/2.94 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.94 , 0, clause( 20586, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 2.54/2.94 identity ), :=( Y, Y ), :=( Z, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20590, [ =( multiply( 'negative_part'( X ), Y ),
% 2.54/2.94 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20588, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y
% 2.54/2.94 ), 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20591, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 2.54/2.94 'negative_part'( X ), Y ) ) ] )
% 2.54/2.94 , clause( 20590, [ =( multiply( 'negative_part'( X ), Y ),
% 2.54/2.94 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 147, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'negative_part'( Y ), X ) ) ] )
% 2.54/2.94 , clause( 20591, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 2.54/2.94 multiply( 'negative_part'( X ), Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20593, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20594, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.54/2.94 inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20593, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.54/2.94 ), inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 2.54/2.94 Y ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 177, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 20594, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 2.54/2.94 inverse( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20599, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20601, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.54/2.94 inverse( Y ), X ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20599, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.54/2.94 ), inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.54/2.94 :=( Y, inverse( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 178, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 2.54/2.94 Y ), X ) ) ] )
% 2.54/2.94 , clause( 20601, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.54/2.94 inverse( Y ), X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20605, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ),
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20607, [ =( inverse( multiply( X, identity ) ), multiply( identity
% 2.54/2.94 , inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.54/2.94 , 0, clause( 20605, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X
% 2.54/2.94 ), inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 2.54/2.94 , X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20611, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.54/2.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.94 , 0, clause( 20607, [ =( inverse( multiply( X, identity ) ), multiply(
% 2.54/2.94 identity, inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.54/2.94 :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 179, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.54/2.94 , clause( 20611, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20614, [ =( X, inverse( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20617, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 179, [ =( inverse( multiply( X, identity ) ), inverse( X ) ) ] )
% 2.54/2.94 , 0, clause( 20614, [ =( X, inverse( inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 multiply( X, identity ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20618, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20617, [ =( multiply( X, identity ), inverse( inverse( X ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , clause( 20618, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20621, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.54/2.94 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20623, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20621, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.54/2.94 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, identity ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20625, [ =( multiply( X, 'negative_part'( Y ) ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20623, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 2.54/2.94 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20626, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.94 X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20625, [ =( multiply( X, 'negative_part'( Y ) ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.94 X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20626, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 2.54/2.94 multiply( X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20628, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20630, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20628, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, identity ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20632, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20630, [ =( multiply( X, 'least_upper_bound'( identity, Y ) )
% 2.54/2.94 , 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20633, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20632, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 2.54/2.94 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20633, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.94 X, 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20635, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 2.54/2.94 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20638, [ =( multiply( X, 'least_upper_bound'( Y, identity ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20635, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y ), :=( Z, identity )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20639, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20638, [ =( multiply( X, 'least_upper_bound'( Y, identity ) )
% 2.54/2.94 , 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20640, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20639, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 185, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X,
% 2.54/2.94 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 20640, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply(
% 2.54/2.94 X, 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20642, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 2.54/2.94 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.94 'least_upper_bound'( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 20, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.94 'least_upper_bound'( X, Z ) ), 'least_upper_bound'( X,
% 2.54/2.94 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20647, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 2.54/2.94 X, Y ) ), 'greatest_lower_bound'( 'least_upper_bound'( identity, X ),
% 2.54/2.94 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20642, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 2.54/2.94 , Z ) ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 2.54/2.94 'least_upper_bound'( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 2.54/2.94 identity ), :=( Y, X ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20653, [ =( 'least_upper_bound'( identity, 'greatest_lower_bound'(
% 2.54/2.94 X, Y ) ), 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'(
% 2.54/2.94 Y ) ) ) ] )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20647, [ =( 'least_upper_bound'( identity,
% 2.54/2.94 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'(
% 2.54/2.94 'least_upper_bound'( identity, X ), 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20655, [ =( 'positive_part'( 'greatest_lower_bound'( X, Y ) ),
% 2.54/2.94 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'( Y ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 30, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20653, [ =( 'least_upper_bound'( identity,
% 2.54/2.94 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( 'positive_part'(
% 2.54/2.94 X ), 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, 'greatest_lower_bound'( X, Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20656, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , clause( 20655, [ =( 'positive_part'( 'greatest_lower_bound'( X, Y ) ),
% 2.54/2.94 'greatest_lower_bound'( 'positive_part'( X ), 'positive_part'( Y ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 211, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , clause( 20656, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20658, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z )
% 2.54/2.94 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 'greatest_lower_bound'( X, Z ) ) ) ] )
% 2.54/2.94 , clause( 21, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 'greatest_lower_bound'( X, Z ) ), 'greatest_lower_bound'( X,
% 2.54/2.94 'least_upper_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20663, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 2.54/2.94 X, Y ) ), 'least_upper_bound'( 'greatest_lower_bound'( identity, X ),
% 2.54/2.94 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20658, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y
% 2.54/2.94 , Z ) ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 'greatest_lower_bound'( X, Z ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 2.54/2.94 identity ), :=( Y, X ), :=( Z, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20669, [ =( 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 2.54/2.94 X, Y ) ), 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20663, [ =( 'greatest_lower_bound'( identity,
% 2.54/2.94 'least_upper_bound'( X, Y ) ), 'least_upper_bound'(
% 2.54/2.94 'greatest_lower_bound'( identity, X ), 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20671, [ =( 'negative_part'( 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , clause( 31, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20669, [ =( 'greatest_lower_bound'( identity,
% 2.54/2.94 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( 'negative_part'( X )
% 2.54/2.94 , 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, 'least_upper_bound'( X, Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20672, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , clause( 20671, [ =( 'negative_part'( 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'least_upper_bound'( 'negative_part'( X ), 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 266, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , clause( 20672, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20675, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 27, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply(
% 2.54/2.94 Y, identity ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.54/2.94 :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 310, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.54/2.94 , clause( 20675, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20678, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 2.54/2.94 , clause( 310, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20681, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20678, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, inverse( X ) ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20682, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 20681, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ),
% 2.54/2.94 Y ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , clause( 20682, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20685, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 29, [ =( multiply( multiply( Y, X ), inverse( X ) ), multiply(
% 2.54/2.94 Y, identity ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 2.54/2.94 :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 350, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.54/2.94 , clause( 20685, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20687, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20692, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.54/2.94 inverse( multiply( X, Y ) ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20687, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.54/2.94 ), X ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20693, [ =( inverse( X ), inverse( multiply( multiply( X, Y ),
% 2.54/2.94 inverse( Y ) ) ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20692, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 2.54/2.94 inverse( multiply( X, Y ) ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( Y ) )] )
% 2.54/2.94 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20694, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 177, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20693, [ =( inverse( X ), inverse( multiply( multiply( X, Y )
% 2.54/2.94 , inverse( Y ) ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20695, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 20694, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 410, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , clause( 20695, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20697, [ =( multiply( X, 'negative_part'( Y ) ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.94 X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20701, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'negative_part'( Y ) ), 'greatest_lower_bound'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ), identity ) ) ] )
% 2.54/2.94 , clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.54/2.94 ), identity ) ] )
% 2.54/2.94 , 0, clause( 20697, [ =( multiply( X, 'negative_part'( Y ) ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20702, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( multiply( inverse( multiply( X,
% 2.54/2.94 Y ) ), X ) ) ) ] )
% 2.54/2.94 , clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20701, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'negative_part'( Y ) ), 'greatest_lower_bound'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ), identity ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20704, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20702, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'negative_part'( Y ) ), 'negative_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20705, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.94 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20704, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'negative_part'( Y ) ), 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 497, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.94 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 20705, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.94 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20710, [ =( 'negative_part'( inverse( X ) ), multiply( inverse( X )
% 2.54/2.94 , 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 497, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.94 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20712, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 multiply( inverse( 'positive_part'( X ) ), identity ) ) ] )
% 2.54/2.94 , clause( 38, [ =( 'negative_part'( 'positive_part'( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20710, [ =( 'negative_part'( inverse( X ) ), multiply( inverse(
% 2.54/2.94 X ), 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'positive_part'( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20713, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20712, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) )
% 2.54/2.94 , multiply( inverse( 'positive_part'( X ) ), identity ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, inverse( 'positive_part'( X ) ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 522, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 20713, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20716, [ =( 'positive_part'( Y ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( 'negative_part'( X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 109, [ =( 'positive_part'( 'least_upper_bound'( 'negative_part'(
% 2.54/2.94 X ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20723, [ =( 'positive_part'( X ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( inverse( 'positive_part'( Y ) ), X ) ) ) ] )
% 2.54/2.94 , clause( 522, [ =( 'negative_part'( inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, clause( 20716, [ =( 'positive_part'( Y ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( 'negative_part'( X ), Y ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 2.54/2.94 'positive_part'( Y ) ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20724, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 2.54/2.94 'positive_part'( Y ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 20723, [ =( 'positive_part'( X ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( inverse( 'positive_part'( Y ) ), X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 541, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 2.54/2.94 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 20724, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 2.54/2.94 'positive_part'( Y ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20726, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20730, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'positive_part'( Y ) ), 'least_upper_bound'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ), identity ) ) ] )
% 2.54/2.94 , clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.54/2.94 ), identity ) ] )
% 2.54/2.94 , 0, clause( 20726, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 17, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20731, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( multiply( inverse( multiply( X,
% 2.54/2.94 Y ) ), X ) ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20730, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'positive_part'( Y ) ), 'least_upper_bound'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ), identity ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20733, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20731, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'positive_part'( Y ) ), 'positive_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20734, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 2.54/2.94 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20733, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ), 'positive_part'( Y ) ), 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 690, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 2.54/2.94 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , clause( 20734, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 2.54/2.94 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20739, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 147, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'negative_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20741, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 690, [ =( multiply( inverse( Y ), 'positive_part'( Y ) ),
% 2.54/2.94 'positive_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20739, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'positive_part'( X ) ), :=( Y, inverse( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20742, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 211, [ =( 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( Y ) ), 'positive_part'( 'greatest_lower_bound'( X, Y ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20741, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'greatest_lower_bound'( 'positive_part'( X ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 815, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20742, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20744, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 147, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'negative_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20746, [ =( multiply( 'negative_part'( X ), X ), multiply( X,
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 182, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 2.54/2.94 X, 'negative_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20744, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20747, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 2.54/2.94 'negative_part'( X ), X ) ) ] )
% 2.54/2.94 , clause( 20746, [ =( multiply( 'negative_part'( X ), X ), multiply( X,
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 823, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 2.54/2.94 'negative_part'( X ), X ) ) ] )
% 2.54/2.94 , clause( 20747, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 2.54/2.94 'negative_part'( X ), X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20749, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 147, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'negative_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20752, [ =( multiply( 'negative_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ), Y ), 'greatest_lower_bound'( Y, identity ) ) ] )
% 2.54/2.94 , clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.54/2.94 ), identity ) ] )
% 2.54/2.94 , 0, clause( 20749, [ =( multiply( 'negative_part'( Y ), X ),
% 2.54/2.94 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, Y ), :=( Y, multiply( inverse( multiply( X, Y ) ), X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20753, [ =( multiply( 'negative_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ), Y ), 'negative_part'( Y ) ) ] )
% 2.54/2.94 , clause( 19, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20752, [ =( multiply( 'negative_part'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ) ), Y ), 'greatest_lower_bound'( Y, identity ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20754, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'negative_part'( Y ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20753, [ =( multiply( 'negative_part'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ) ), Y ), 'negative_part'( Y ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 839, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'negative_part'( Y ) ) ] )
% 2.54/2.94 , clause( 20754, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'negative_part'( Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20757, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , clause( 185, [ =( 'least_upper_bound'( multiply( X, Y ), X ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20761, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 839, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'negative_part'( Y ) ) ] )
% 2.54/2.94 , 0, clause( 20757, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), X ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'negative_part'( inverse( X ) ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20762, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 2.54/2.94 X ) ) ) ) ] )
% 2.54/2.94 , clause( 266, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, clause( 20761, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20763, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 2.54/2.94 ) ) ), 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 815, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20762, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 2.54/2.94 X ) ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20764, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 2.54/2.94 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20763, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse(
% 2.54/2.94 X ) ) ), 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 848, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) ) )
% 2.54/2.94 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20764, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X )
% 2.54/2.94 ) ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20766, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20770, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( inverse( X
% 2.54/2.94 ) ), 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 839, [ =( multiply( 'negative_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'negative_part'( Y ) ) ] )
% 2.54/2.94 , 0, clause( 20766, [ =( multiply( X, 'positive_part'( Y ) ),
% 2.54/2.94 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'negative_part'( inverse( X ) ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20771, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( inverse( X
% 2.54/2.94 ), X ) ) ) ] )
% 2.54/2.94 , clause( 266, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, clause( 20770, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'least_upper_bound'( 'negative_part'( inverse( X
% 2.54/2.94 ) ), 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20772, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 2.54/2.94 ) ) ), 'negative_part'( 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 2.54/2.94 , clause( 815, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20771, [ =( multiply( 'negative_part'( inverse( X ) ),
% 2.54/2.94 'positive_part'( X ) ), 'negative_part'( 'least_upper_bound'( inverse( X
% 2.54/2.94 ), X ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20773, [ =( 'negative_part'( 'least_upper_bound'( inverse( X ), X )
% 2.54/2.94 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20772, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse(
% 2.54/2.94 X ) ) ), 'negative_part'( 'least_upper_bound'( inverse( X ), X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 849, [ =( 'negative_part'( 'least_upper_bound'( inverse( X ), X ) )
% 2.54/2.94 , 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20773, [ =( 'negative_part'( 'least_upper_bound'( inverse( X ), X
% 2.54/2.94 ) ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20775, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20778, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 2.54/2.94 , 'least_upper_bound'( 'negative_part'( X ), multiply( 'negative_part'( X
% 2.54/2.94 ), X ) ) ) ] )
% 2.54/2.94 , clause( 823, [ =( multiply( X, 'negative_part'( X ) ), multiply(
% 2.54/2.94 'negative_part'( X ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20775, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'negative_part'( X ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20779, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 2.54/2.94 , multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20778, [ =( multiply( 'positive_part'( X ), 'negative_part'( X
% 2.54/2.94 ) ), 'least_upper_bound'( 'negative_part'( X ), multiply(
% 2.54/2.94 'negative_part'( X ), X ) ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, 'negative_part'( X ) ), :=( Y, X )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 957, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ),
% 2.54/2.94 multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 20779, [ =( multiply( 'positive_part'( X ), 'negative_part'( X )
% 2.54/2.94 ), multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20781, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20783, [ =( multiply( 'positive_part'( X ), X ), multiply( X,
% 2.54/2.94 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 184, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 2.54/2.94 , 'positive_part'( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20781, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20784, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 2.54/2.94 'positive_part'( X ), X ) ) ] )
% 2.54/2.94 , clause( 20783, [ =( multiply( 'positive_part'( X ), X ), multiply( X,
% 2.54/2.94 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 961, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 2.54/2.94 'positive_part'( X ), X ) ) ] )
% 2.54/2.94 , clause( 20784, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 2.54/2.94 'positive_part'( X ), X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20786, [ =( 'positive_part'( Y ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( inverse( 'positive_part'( X ) ), Y ) ) ) ] )
% 2.54/2.94 , clause( 541, [ =( 'positive_part'( 'least_upper_bound'( inverse(
% 2.54/2.94 'positive_part'( X ) ), Y ) ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20789, [ =( 'positive_part'( multiply( X, inverse( 'positive_part'(
% 2.54/2.94 Y ) ) ) ), 'positive_part'( multiply( 'positive_part'( X ), inverse(
% 2.54/2.94 'positive_part'( Y ) ) ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20786, [ =( 'positive_part'( Y ), 'positive_part'(
% 2.54/2.94 'least_upper_bound'( inverse( 'positive_part'( X ) ), Y ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, inverse( 'positive_part'( Y ) ) ), :=( Y
% 2.54/2.94 , X )] ), substitution( 1, [ :=( X, Y ), :=( Y, multiply( X, inverse(
% 2.54/2.94 'positive_part'( Y ) ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20790, [ =( 'positive_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'positive_part'( Y ) ) ) ), 'positive_part'( multiply( X,
% 2.54/2.94 inverse( 'positive_part'( Y ) ) ) ) ) ] )
% 2.54/2.94 , clause( 20789, [ =( 'positive_part'( multiply( X, inverse(
% 2.54/2.94 'positive_part'( Y ) ) ) ), 'positive_part'( multiply( 'positive_part'( X
% 2.54/2.94 ), inverse( 'positive_part'( Y ) ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 962, [ =( 'positive_part'( multiply( 'positive_part'( Y ), inverse(
% 2.54/2.94 'positive_part'( X ) ) ) ), 'positive_part'( multiply( Y, inverse(
% 2.54/2.94 'positive_part'( X ) ) ) ) ) ] )
% 2.54/2.94 , clause( 20790, [ =( 'positive_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'positive_part'( Y ) ) ) ), 'positive_part'( multiply( X,
% 2.54/2.94 inverse( 'positive_part'( Y ) ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20792, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20795, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 497, [ =( multiply( inverse( Y ), 'negative_part'( Y ) ),
% 2.54/2.94 'negative_part'( inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20792, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'negative_part'( X ) ), :=( Y, inverse( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20796, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 2.54/2.94 X ) ) ) ) ] )
% 2.54/2.94 , clause( 266, [ =( 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( Y ) ), 'negative_part'( 'least_upper_bound'( X, Y ) ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, clause( 20795, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'least_upper_bound'( 'negative_part'( X ),
% 2.54/2.94 'negative_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20797, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 848, [ =( 'negative_part'( 'least_upper_bound'( X, inverse( X ) )
% 2.54/2.94 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20796, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'negative_part'( 'least_upper_bound'( X, inverse(
% 2.54/2.94 X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 966, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20797, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20800, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20801, [ =( multiply( 'positive_part'( multiply( X, Y ) ), inverse(
% 2.54/2.94 Y ) ), 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.54/2.94 , clause( 350, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.54/2.94 , 0, clause( 20800, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, inverse( Y ) ), :=( Y, multiply( X, Y ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 975, [ =( multiply( 'positive_part'( multiply( X, Y ) ), inverse( Y
% 2.54/2.94 ) ), 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.54/2.94 , clause( 20801, [ =( multiply( 'positive_part'( multiply( X, Y ) ),
% 2.54/2.94 inverse( Y ) ), 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20804, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20807, [ =( multiply( 'positive_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ), Y ), 'least_upper_bound'( Y, identity ) ) ] )
% 2.54/2.94 , clause( 26, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 2.54/2.94 ), identity ) ] )
% 2.54/2.94 , 0, clause( 20804, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, Y ), :=( Y, multiply( inverse( multiply( X, Y ) ), X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20808, [ =( multiply( 'positive_part'( multiply( inverse( multiply(
% 2.54/2.94 X, Y ) ), X ) ), Y ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20807, [ =( multiply( 'positive_part'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ) ), Y ), 'least_upper_bound'( Y, identity ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20809, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20808, [ =( multiply( 'positive_part'( multiply( inverse(
% 2.54/2.94 multiply( X, Y ) ), X ) ), Y ), 'positive_part'( Y ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 981, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'positive_part'( Y ) ) ] )
% 2.54/2.94 , clause( 20809, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'positive_part'( Y ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20812, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.54/2.94 , clause( 133, [ =( 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20813, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20812, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 'least_upper_bound'( X, Y ) ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20814, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ), X ) ] )
% 2.54/2.94 , clause( 20813, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 multiply( 'positive_part'( Y ), X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 985, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ), X ) ] )
% 2.54/2.94 , clause( 20814, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20816, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 122, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20819, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.54/2.94 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20816, [ =( multiply( 'positive_part'( Y ), X ),
% 2.54/2.94 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.54/2.94 X ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20820, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 18, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, clause( 20819, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'least_upper_bound'( inverse( X ), identity ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.54/2.94 :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 989, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 20820, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20823, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 410, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20824, [ =( inverse( 'positive_part'( inverse( X ) ) ), multiply( X
% 2.54/2.94 , inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , clause( 981, [ =( multiply( 'positive_part'( inverse( Y ) ), Y ),
% 2.54/2.94 'positive_part'( Y ) ) ] )
% 2.54/2.94 , 0, clause( 20823, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X
% 2.54/2.94 ) ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, 'positive_part'( inverse( X ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20825, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20824, [ =( inverse( 'positive_part'( inverse( X ) ) ), multiply(
% 2.54/2.94 X, inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 990, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20825, [ =( multiply( X, inverse( 'positive_part'( X ) ) ),
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20828, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 2.54/2.94 ), a ) ) ] )
% 2.54/2.94 , clause( 957, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 2.54/2.94 , multiply( 'negative_part'( X ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, clause( 22, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a
% 2.54/2.94 ) ), a ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1007, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a )
% 2.54/2.94 ), a ) ) ] )
% 2.54/2.94 , clause( 20828, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a
% 2.54/2.94 ) ), a ) ) ] )
% 2.54/2.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20831, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20833, [ =( inverse( inverse( X ) ), multiply( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 989, [ =( multiply( 'positive_part'( X ), inverse( X ) ),
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , 0, clause( 20831, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.54/2.94 ), X ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'positive_part'( X ) ), :=( Y, inverse( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20834, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 , 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20833, [ =( inverse( inverse( X ) ), multiply( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20835, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.94 'positive_part'( X ) ), X ) ] )
% 2.54/2.94 , clause( 20834, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1024, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.94 'positive_part'( X ) ), X ) ] )
% 2.54/2.94 , clause( 20835, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 , 'positive_part'( X ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20837, [ =( multiply( inverse( Y ), X ), inverse( multiply( inverse(
% 2.54/2.94 X ), Y ) ) ) ] )
% 2.54/2.94 , clause( 178, [ =( inverse( multiply( inverse( X ), Y ) ), multiply(
% 2.54/2.94 inverse( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20840, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ), X
% 2.54/2.94 ), inverse( multiply( 'positive_part'( inverse( X ) ), inverse( X ) ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , clause( 961, [ =( multiply( X, 'positive_part'( X ) ), multiply(
% 2.54/2.94 'positive_part'( X ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20837, [ =( multiply( inverse( Y ), X ), inverse( multiply(
% 2.54/2.94 inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.54/2.94 :=( X, X ), :=( Y, 'positive_part'( inverse( X ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20841, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ), X
% 2.54/2.94 ), multiply( X, inverse( 'positive_part'( inverse( X ) ) ) ) ) ] )
% 2.54/2.94 , clause( 177, [ =( inverse( multiply( Y, inverse( X ) ) ), multiply( X,
% 2.54/2.94 inverse( Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20840, [ =( multiply( inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ), X ), inverse( multiply( 'positive_part'( inverse( X ) ), inverse( X )
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, 'positive_part'( inverse( X )
% 2.54/2.94 ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20842, [ =( multiply( X, inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 ), multiply( inverse( 'positive_part'( inverse( X ) ) ), X ) ) ] )
% 2.54/2.94 , clause( 20841, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 , X ), multiply( X, inverse( 'positive_part'( inverse( X ) ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1602, [ =( multiply( X, inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 ), multiply( inverse( 'positive_part'( inverse( X ) ) ), X ) ) ] )
% 2.54/2.94 , clause( 20842, [ =( multiply( X, inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ) ), multiply( inverse( 'positive_part'( inverse( X ) ) ), X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20844, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , clause( 123, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20847, [ =( multiply( 'positive_part'( X ), inverse(
% 2.54/2.94 'positive_part'( X ) ) ), 'least_upper_bound'( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , clause( 990, [ =( multiply( X, inverse( 'positive_part'( X ) ) ), inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20844, [ =( multiply( 'positive_part'( X ), Y ),
% 2.54/2.94 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, inverse( 'positive_part'( X ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20848, [ =( identity, 'least_upper_bound'( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20847, [ =( multiply( 'positive_part'( X ), inverse(
% 2.54/2.94 'positive_part'( X ) ) ), 'least_upper_bound'( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, 'positive_part'( X ) )] ), substitution(
% 2.54/2.94 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20849, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 2.54/2.94 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20848, [ =( identity, 'least_upper_bound'( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ), inverse( 'positive_part'( X ) ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1648, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 2.54/2.94 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20849, [ =( 'least_upper_bound'( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20850, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20853, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply(
% 2.54/2.94 inverse( multiply( Z, 'greatest_lower_bound'( Y, X ) ) ), Z ) ) ] )
% 2.54/2.94 , clause( 95, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), multiply(
% 2.54/2.94 X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20850, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.54/2.94 ), X ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.54/2.94 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20856, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, clause( 20853, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.54/2.94 multiply( inverse( multiply( Z, 'greatest_lower_bound'( Y, X ) ) ), Z ) )
% 2.54/2.94 ] )
% 2.54/2.94 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 2.54/2.94 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1912, [ =( inverse( 'greatest_lower_bound'( Z, Y ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , clause( 20856, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20857, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 23, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20858, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , clause( 1912, [ =( inverse( 'greatest_lower_bound'( Z, Y ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.54/2.94 , 0, clause( 20857, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 2.54/2.94 substitution( 1, [ :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20861, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20858, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1934, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20861, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20863, [ =( identity, multiply( 'greatest_lower_bound'( X, Y ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , clause( 1934, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ), identity ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20866, [ =( identity, multiply( 'greatest_lower_bound'(
% 2.54/2.94 'positive_part'( X ), 'greatest_lower_bound'( Y, X ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , clause( 43, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 2.54/2.94 'positive_part'( X ) ), 'greatest_lower_bound'( Y, X ) ) ] )
% 2.54/2.94 , 0, clause( 20863, [ =( identity, multiply( 'greatest_lower_bound'( X, Y )
% 2.54/2.94 , inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.54/2.94 :=( X, 'positive_part'( X ) ), :=( Y, 'greatest_lower_bound'( Y, X ) )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20867, [ =( identity, 'negative_part'( multiply( 'positive_part'( X
% 2.54/2.94 ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ) ] )
% 2.54/2.94 , clause( 144, [ =( multiply( 'greatest_lower_bound'( Y, X ), inverse( X )
% 2.54/2.94 ), 'negative_part'( multiply( Y, inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20866, [ =( identity, multiply( 'greatest_lower_bound'(
% 2.54/2.94 'positive_part'( X ), 'greatest_lower_bound'( Y, X ) ), inverse(
% 2.54/2.94 'greatest_lower_bound'( Y, X ) ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 2.54/2.94 'positive_part'( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20868, [ =( 'negative_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20867, [ =( identity, 'negative_part'( multiply( 'positive_part'(
% 2.54/2.94 X ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 1945, [ =( 'negative_part'( multiply( 'positive_part'( Y ), inverse(
% 2.54/2.94 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20868, [ =( 'negative_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( Y, X ) ) ) ), identity ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.94 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20870, [ =( 'positive_part'( multiply( inverse( X ), Y ) ),
% 2.54/2.94 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.54/2.94 , clause( 82, [ =( multiply( inverse( X ), 'least_upper_bound'( Y, X ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20875, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , multiply( inverse( inverse( 'positive_part'( X ) ) ), identity ) ) ] )
% 2.54/2.94 , clause( 1648, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 2.54/2.94 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20870, [ =( 'positive_part'( multiply( inverse( X ), Y ) ),
% 2.54/2.94 multiply( inverse( X ), 'least_upper_bound'( Y, X ) ) ) ] )
% 2.54/2.94 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 inverse( 'positive_part'( X ) ) ), :=( Y, inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20876, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , inverse( inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20875, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , multiply( inverse( inverse( 'positive_part'( X ) ) ), identity ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, inverse( inverse( 'positive_part'( X ) )
% 2.54/2.94 ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20878, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20876, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , inverse( inverse( 'positive_part'( X ) ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, 'positive_part'( X ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20879, [ =( 'positive_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ) ) ), 'positive_part'( X ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20878, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( X ) ) ), inverse( 'positive_part'( inverse( X ) ) ) ) )
% 2.54/2.94 , 'positive_part'( X ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, 'positive_part'( X ) )] ), substitution(
% 2.54/2.94 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20880, [ =( 'positive_part'( multiply( X, inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 962, [ =( 'positive_part'( multiply( 'positive_part'( Y ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ), 'positive_part'( multiply( Y,
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20879, [ =( 'positive_part'( multiply( 'positive_part'( X ),
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ) ) ), 'positive_part'( X ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20881, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 1602, [ =( multiply( X, inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ) ), multiply( inverse( 'positive_part'( inverse( X ) ) ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20880, [ =( 'positive_part'( multiply( X, inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 2788, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , clause( 20881, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20884, [ =( 'positive_part'( multiply( inverse( X ), Y ) ),
% 2.54/2.94 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , clause( 81, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 2.54/2.94 'positive_part'( multiply( inverse( X ), Y ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20889, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , multiply( inverse( inverse( 'positive_part'( inverse( X ) ) ) ),
% 2.54/2.94 identity ) ) ] )
% 2.54/2.94 , clause( 1648, [ =( 'least_upper_bound'( inverse( 'positive_part'( inverse(
% 2.54/2.94 X ) ) ), inverse( 'positive_part'( X ) ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20884, [ =( 'positive_part'( multiply( inverse( X ), Y ) ),
% 2.54/2.94 multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.54/2.94 , 0, 17, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ) ), :=( Y, inverse(
% 2.54/2.94 'positive_part'( X ) ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20890, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , inverse( inverse( 'positive_part'( inverse( X ) ) ) ) ) ] )
% 2.54/2.94 , clause( 181, [ =( multiply( X, identity ), X ) ] )
% 2.54/2.94 , 0, clause( 20889, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , multiply( inverse( inverse( 'positive_part'( inverse( X ) ) ) ),
% 2.54/2.94 identity ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, inverse( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20892, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20890, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , inverse( inverse( 'positive_part'( inverse( X ) ) ) ) ) ] )
% 2.54/2.94 , 0, 11, substitution( 0, [ :=( X, 'positive_part'( inverse( X ) ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20893, [ =( 'positive_part'( multiply( 'positive_part'( inverse( X
% 2.54/2.94 ) ), inverse( 'positive_part'( X ) ) ) ), 'positive_part'( inverse( X )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20892, [ =( 'positive_part'( multiply( inverse( inverse(
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ), inverse( 'positive_part'( X ) ) ) )
% 2.54/2.94 , 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, 'positive_part'( inverse( X ) ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20894, [ =( 'positive_part'( multiply( inverse( X ), inverse(
% 2.54/2.94 'positive_part'( X ) ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 962, [ =( 'positive_part'( multiply( 'positive_part'( Y ),
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ), 'positive_part'( multiply( Y,
% 2.54/2.94 inverse( 'positive_part'( X ) ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20893, [ =( 'positive_part'( multiply( 'positive_part'(
% 2.54/2.94 inverse( X ) ), inverse( 'positive_part'( X ) ) ) ), 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20895, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X
% 2.54/2.94 ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 17, [ =( multiply( inverse( Y ), inverse( X ) ), inverse(
% 2.54/2.94 multiply( X, Y ) ) ) ] )
% 2.54/2.94 , 0, clause( 20894, [ =( 'positive_part'( multiply( inverse( X ), inverse(
% 2.54/2.94 'positive_part'( X ) ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, 'positive_part'( X ) ), :=( Y, X )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 2790, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X )
% 2.54/2.94 , X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 20895, [ =( 'positive_part'( inverse( multiply( 'positive_part'(
% 2.54/2.94 X ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20898, [ =( 'positive_part'( X ), 'positive_part'( multiply(
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ), X ) ) ) ] )
% 2.54/2.94 , clause( 2788, [ =( 'positive_part'( multiply( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), X ) ), 'positive_part'( X ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20904, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 2.54/2.94 , 'positive_part'( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.94 multiply( 'positive_part'( X ), X ) ) ) ) ] )
% 2.54/2.94 , clause( 2790, [ =( 'positive_part'( inverse( multiply( 'positive_part'( X
% 2.54/2.94 ), X ) ) ), 'positive_part'( inverse( X ) ) ) ] )
% 2.54/2.94 , 0, clause( 20898, [ =( 'positive_part'( X ), 'positive_part'( multiply(
% 2.54/2.94 inverse( 'positive_part'( inverse( X ) ) ), X ) ) ) ] )
% 2.54/2.94 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 multiply( 'positive_part'( X ), X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20905, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 2.54/2.94 , 'positive_part'( multiply( multiply( inverse( 'positive_part'( inverse(
% 2.54/2.94 X ) ) ), 'positive_part'( X ) ), X ) ) ) ] )
% 2.54/2.94 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.54/2.94 ), Z ) ) ] )
% 2.54/2.94 , 0, clause( 20904, [ =( 'positive_part'( multiply( 'positive_part'( X ), X
% 2.54/2.94 ) ), 'positive_part'( multiply( inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ), multiply( 'positive_part'( X ), X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, inverse( 'positive_part'( inverse( X ) )
% 2.54/2.94 ) ), :=( Y, 'positive_part'( X ) ), :=( Z, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20906, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 2.54/2.94 , 'positive_part'( multiply( X, X ) ) ) ] )
% 2.54/2.94 , clause( 1024, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.94 'positive_part'( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20905, [ =( 'positive_part'( multiply( 'positive_part'( X ), X
% 2.54/2.94 ) ), 'positive_part'( multiply( multiply( inverse( 'positive_part'(
% 2.54/2.94 inverse( X ) ) ), 'positive_part'( X ) ), X ) ) ) ] )
% 2.54/2.94 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 4309, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) ),
% 2.54/2.94 'positive_part'( multiply( X, X ) ) ) ] )
% 2.54/2.94 , clause( 20906, [ =( 'positive_part'( multiply( 'positive_part'( X ), X )
% 2.54/2.94 ), 'positive_part'( multiply( X, X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20909, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ) ) ] )
% 2.54/2.94 , clause( 985, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 'positive_part'( Y ), X ) ) ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20910, [ =( X, 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 X, X ) ) ) ) ] )
% 2.54/2.94 , clause( 4309, [ =( 'positive_part'( multiply( 'positive_part'( X ), X ) )
% 2.54/2.94 , 'positive_part'( multiply( X, X ) ) ) ] )
% 2.54/2.94 , 0, clause( 20909, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 multiply( 'positive_part'( Y ), X ) ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.54/2.94 :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20912, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 2.54/2.94 , X ) ) ), X ) ] )
% 2.54/2.94 , clause( 20910, [ =( X, 'greatest_lower_bound'( X, 'positive_part'(
% 2.54/2.94 multiply( X, X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 4385, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply( X
% 2.54/2.94 , X ) ) ), X ) ] )
% 2.54/2.94 , clause( 20912, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 X, X ) ) ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20915, [ =( identity, 'negative_part'( multiply( 'positive_part'( X
% 2.54/2.94 ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ) ] )
% 2.54/2.94 , clause( 1945, [ =( 'negative_part'( multiply( 'positive_part'( Y ),
% 2.54/2.94 inverse( 'greatest_lower_bound'( X, Y ) ) ) ), identity ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20919, [ =( identity, 'negative_part'( multiply( 'positive_part'(
% 2.54/2.94 'positive_part'( multiply( X, X ) ) ), inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 4385, [ =( 'greatest_lower_bound'( X, 'positive_part'( multiply(
% 2.54/2.94 X, X ) ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20915, [ =( identity, 'negative_part'( multiply(
% 2.54/2.94 'positive_part'( X ), inverse( 'greatest_lower_bound'( Y, X ) ) ) ) ) ]
% 2.54/2.94 )
% 2.54/2.94 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'positive_part'( multiply( X, X ) ) ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20920, [ =( identity, 'negative_part'( multiply( 'positive_part'(
% 2.54/2.94 multiply( X, X ) ), inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 73, [ =( 'positive_part'( 'positive_part'( X ) ), 'positive_part'(
% 2.54/2.94 X ) ) ] )
% 2.54/2.94 , 0, clause( 20919, [ =( identity, 'negative_part'( multiply(
% 2.54/2.94 'positive_part'( 'positive_part'( multiply( X, X ) ) ), inverse( X ) ) )
% 2.54/2.94 ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, multiply( X, X ) )] ), substitution( 1, [
% 2.54/2.94 :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20921, [ =( identity, 'negative_part'( 'least_upper_bound'( inverse(
% 2.54/2.94 X ), X ) ) ) ] )
% 2.54/2.94 , clause( 975, [ =( multiply( 'positive_part'( multiply( X, Y ) ), inverse(
% 2.54/2.94 Y ) ), 'least_upper_bound'( inverse( Y ), X ) ) ] )
% 2.54/2.94 , 0, clause( 20920, [ =( identity, 'negative_part'( multiply(
% 2.54/2.94 'positive_part'( multiply( X, X ) ), inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [
% 2.54/2.94 :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20922, [ =( identity, 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 849, [ =( 'negative_part'( 'least_upper_bound'( inverse( X ), X )
% 2.54/2.94 ), 'positive_part'( 'greatest_lower_bound'( X, inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20921, [ =( identity, 'negative_part'( 'least_upper_bound'(
% 2.54/2.94 inverse( X ), X ) ) ) ] )
% 2.54/2.94 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20923, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 2.54/2.94 ) ) ), identity ) ] )
% 2.54/2.94 , clause( 20922, [ =( identity, 'positive_part'( 'greatest_lower_bound'( X
% 2.54/2.94 , inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 4401, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X )
% 2.54/2.94 ) ), identity ) ] )
% 2.54/2.94 , clause( 20923, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse(
% 2.54/2.94 X ) ) ), identity ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20926, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , clause( 4401, [ =( 'positive_part'( 'greatest_lower_bound'( X, inverse( X
% 2.54/2.94 ) ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 966, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), 'positive_part'( 'greatest_lower_bound'( X,
% 2.54/2.94 inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 20102, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , clause( 20926, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20929, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 311, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20932, [ =( inverse( 'negative_part'( X ) ), multiply( inverse(
% 2.54/2.94 identity ), 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 20102, [ =( multiply( 'positive_part'( inverse( X ) ),
% 2.54/2.94 'negative_part'( X ) ), identity ) ] )
% 2.54/2.94 , 0, clause( 20929, [ =( inverse( Y ), multiply( inverse( multiply( X, Y )
% 2.54/2.94 ), X ) ) ] )
% 2.54/2.94 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.54/2.94 'positive_part'( inverse( X ) ) ), :=( Y, 'negative_part'( X ) )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20933, [ =( inverse( 'negative_part'( X ) ), multiply( identity,
% 2.54/2.94 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , clause( 15, [ =( inverse( identity ), identity ) ] )
% 2.54/2.94 , 0, clause( 20932, [ =( inverse( 'negative_part'( X ) ), multiply( inverse(
% 2.54/2.94 identity ), 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20934, [ =( inverse( 'negative_part'( X ) ), 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) ] )
% 2.54/2.94 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.54/2.94 , 0, clause( 20933, [ =( inverse( 'negative_part'( X ) ), multiply(
% 2.54/2.94 identity, 'positive_part'( inverse( X ) ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, 'positive_part'( inverse( X ) ) )] ),
% 2.54/2.94 substitution( 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20935, [ =( 'positive_part'( inverse( X ) ), inverse(
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 20934, [ =( inverse( 'negative_part'( X ) ), 'positive_part'(
% 2.54/2.94 inverse( X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 20140, [ =( 'positive_part'( inverse( X ) ), inverse(
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 20935, [ =( 'positive_part'( inverse( X ) ), inverse(
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20937, [ =( X, multiply( inverse( 'positive_part'( inverse( X ) ) )
% 2.54/2.94 , 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 1024, [ =( multiply( inverse( 'positive_part'( inverse( X ) ) ),
% 2.54/2.94 'positive_part'( X ) ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20939, [ =( X, multiply( inverse( inverse( 'negative_part'( X ) ) )
% 2.54/2.94 , 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , clause( 20140, [ =( 'positive_part'( inverse( X ) ), inverse(
% 2.54/2.94 'negative_part'( X ) ) ) ] )
% 2.54/2.94 , 0, clause( 20937, [ =( X, multiply( inverse( 'positive_part'( inverse( X
% 2.54/2.94 ) ) ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.94 ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 paramod(
% 2.54/2.94 clause( 20946, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 16, [ =( inverse( inverse( X ) ), X ) ] )
% 2.54/2.94 , 0, clause( 20939, [ =( X, multiply( inverse( inverse( 'negative_part'( X
% 2.54/2.94 ) ) ), 'positive_part'( X ) ) ) ] )
% 2.54/2.94 , 0, 3, substitution( 0, [ :=( X, 'negative_part'( X ) )] ), substitution(
% 2.54/2.94 1, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20947, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , clause( 20946, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X
% 2.54/2.94 ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 20176, [ =( multiply( 'negative_part'( X ), 'positive_part'( X ) )
% 2.54/2.94 , X ) ] )
% 2.54/2.94 , clause( 20947, [ =( multiply( 'negative_part'( X ), 'positive_part'( X )
% 2.54/2.94 ), X ) ] )
% 2.54/2.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20948, [ =( X, multiply( 'negative_part'( X ), 'positive_part'( X )
% 2.54/2.94 ) ) ] )
% 2.54/2.94 , clause( 20176, [ =( multiply( 'negative_part'( X ), 'positive_part'( X )
% 2.54/2.94 ), X ) ] )
% 2.54/2.94 , 0, substitution( 0, [ :=( X, X )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 eqswap(
% 2.54/2.94 clause( 20949, [ ~( =( a, multiply( 'negative_part'( a ), 'positive_part'(
% 2.54/2.94 a ) ) ) ) ] )
% 2.54/2.94 , clause( 1007, [ ~( =( multiply( 'negative_part'( a ), 'positive_part'( a
% 2.54/2.94 ) ), a ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 resolution(
% 2.54/2.94 clause( 20950, [] )
% 2.54/2.94 , clause( 20949, [ ~( =( a, multiply( 'negative_part'( a ), 'positive_part'(
% 2.54/2.94 a ) ) ) ) ] )
% 2.54/2.94 , 0, clause( 20948, [ =( X, multiply( 'negative_part'( X ), 'positive_part'(
% 2.54/2.94 X ) ) ) ] )
% 2.54/2.94 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 subsumption(
% 2.54/2.94 clause( 20180, [] )
% 2.54/2.94 , clause( 20950, [] )
% 2.54/2.94 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 end.
% 2.54/2.94
% 2.54/2.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.54/2.94
% 2.54/2.94 Memory use:
% 2.54/2.94
% 2.54/2.94 space for terms: 274409
% 2.54/2.94 space for clauses: 2159093
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 clauses generated: 483355
% 2.54/2.94 clauses kept: 20181
% 2.54/2.94 clauses selected: 1187
% 2.54/2.94 clauses deleted: 1189
% 2.54/2.94 clauses inuse deleted: 29
% 2.54/2.94
% 2.54/2.94 subsentry: 17119
% 2.54/2.94 literals s-matched: 15578
% 2.54/2.94 literals matched: 15558
% 2.54/2.94 full subsumption: 0
% 2.54/2.94
% 2.54/2.94 checksum: -1087668079
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 Bliksem ended
%------------------------------------------------------------------------------