TSTP Solution File: GRP193-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:36:03 EDT 2022
% Result : Unsatisfiable 0.74s 1.31s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 06:04:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.31 *** allocated 10000 integers for termspace/termends
% 0.74/1.31 *** allocated 10000 integers for clauses
% 0.74/1.31 *** allocated 10000 integers for justifications
% 0.74/1.31 Bliksem 1.12
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Automatic Strategy Selection
% 0.74/1.31
% 0.74/1.31 Clauses:
% 0.74/1.31 [
% 0.74/1.31 [ =( multiply( identity, X ), X ) ],
% 0.74/1.31 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.74/1.31 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.74/1.31 ],
% 0.74/1.31 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.74/1.31 ,
% 0.74/1.31 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.74/1.31 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.74/1.31 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.74/1.31 ,
% 0.74/1.31 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.74/1.31 ,
% 0.74/1.31 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.74/1.31 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.74/1.31 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.74/1.31 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.74/1.31 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.74/1.31 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( identity, a ), a ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( identity, b ), b ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( identity, c ), c ) ],
% 0.74/1.31 [ =( 'greatest_lower_bound'( a, b ), identity ) ],
% 0.74/1.31 [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply( b, c ) )
% 0.74/1.31 , multiply( 'greatest_lower_bound'( a, b ), 'greatest_lower_bound'( a, c
% 0.74/1.31 ) ) ), multiply( 'greatest_lower_bound'( a, b ), 'greatest_lower_bound'(
% 0.74/1.31 a, c ) ) ) ],
% 0.74/1.31 [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ]
% 0.74/1.31 ] .
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.31 This is a pure equality problem
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Options Used:
% 0.74/1.31
% 0.74/1.31 useres = 1
% 0.74/1.31 useparamod = 1
% 0.74/1.31 useeqrefl = 1
% 0.74/1.31 useeqfact = 1
% 0.74/1.31 usefactor = 1
% 0.74/1.31 usesimpsplitting = 0
% 0.74/1.31 usesimpdemod = 5
% 0.74/1.31 usesimpres = 3
% 0.74/1.31
% 0.74/1.31 resimpinuse = 1000
% 0.74/1.31 resimpclauses = 20000
% 0.74/1.31 substype = eqrewr
% 0.74/1.31 backwardsubs = 1
% 0.74/1.31 selectoldest = 5
% 0.74/1.31
% 0.74/1.31 litorderings [0] = split
% 0.74/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.31
% 0.74/1.31 termordering = kbo
% 0.74/1.31
% 0.74/1.31 litapriori = 0
% 0.74/1.31 termapriori = 1
% 0.74/1.31 litaposteriori = 0
% 0.74/1.31 termaposteriori = 0
% 0.74/1.31 demodaposteriori = 0
% 0.74/1.31 ordereqreflfact = 0
% 0.74/1.31
% 0.74/1.31 litselect = negord
% 0.74/1.31
% 0.74/1.31 maxweight = 15
% 0.74/1.31 maxdepth = 30000
% 0.74/1.31 maxlength = 115
% 0.74/1.31 maxnrvars = 195
% 0.74/1.31 excuselevel = 1
% 0.74/1.31 increasemaxweight = 1
% 0.74/1.31
% 0.74/1.31 maxselected = 10000000
% 0.74/1.31 maxnrclauses = 10000000
% 0.74/1.31
% 0.74/1.31 showgenerated = 0
% 0.74/1.31 showkept = 0
% 0.74/1.31 showselected = 0
% 0.74/1.31 showdeleted = 0
% 0.74/1.31 showresimp = 1
% 0.74/1.31 showstatus = 2000
% 0.74/1.31
% 0.74/1.31 prologoutput = 1
% 0.74/1.31 nrgoals = 5000000
% 0.74/1.31 totalproof = 1
% 0.74/1.31
% 0.74/1.31 Symbols occurring in the translation:
% 0.74/1.31
% 0.74/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.31 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.31 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.74/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.31 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.74/1.31 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.31 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.31 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.31 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.31 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.31 b [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.74/1.31 c [49, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Starting Search:
% 0.74/1.31
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Intermediate Status:
% 0.74/1.31 Generated: 27366
% 0.74/1.31 Kept: 2009
% 0.74/1.31 Inuse: 285
% 0.74/1.31 Deleted: 20
% 0.74/1.31 Deletedinuse: 6
% 0.74/1.31
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31 Done
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 Intermediate Status:
% 0.74/1.31 Generated: 48333
% 0.74/1.31 Kept: 4009
% 0.74/1.31 Inuse: 459
% 0.74/1.31 Deleted: 38
% 0.74/1.31 Deletedinuse: 6
% 0.74/1.31
% 0.74/1.31 Resimplifying inuse:
% 0.74/1.31
% 0.74/1.31 Bliksems!, er is een bewijs:
% 0.74/1.31 % SZS status Unsatisfiable
% 0.74/1.31 % SZS output start Refutation
% 0.74/1.31
% 0.74/1.31 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.74/1.31 ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.74/1.31 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.74/1.31 ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.74/1.31 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 19, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a, c
% 0.74/1.31 ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 20, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 35, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 38, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 72, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Y
% 0.74/1.31 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 75, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 139, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 0.74/1.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 156, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( b
% 0.74/1.31 , c ), a ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a,
% 0.74/1.31 c ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 168, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 564, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ),
% 0.74/1.31 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 756, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 0.74/1.31 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 780, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) )
% 0.74/1.31 , 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 3021, [ =( 'greatest_lower_bound'( X, multiply( b, X ) ), X ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 3072, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.31 'greatest_lower_bound'( multiply( b, X ), Y ) ), 'greatest_lower_bound'(
% 0.74/1.31 multiply( b, X ), Y ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 3667, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.31 .
% 0.74/1.31 clause( 4028, [] )
% 0.74/1.31 .
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 % SZS output end Refutation
% 0.74/1.31 found a proof!
% 0.74/1.31
% 0.74/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.31
% 0.74/1.31 initialclauses(
% 0.74/1.31 [ clause( 4030, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , clause( 4031, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.74/1.31 , clause( 4032, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.74/1.31 Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 4033, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.74/1.31 Y, X ) ) ] )
% 0.74/1.31 , clause( 4034, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , clause( 4035, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.74/1.31 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4036, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.74/1.31 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4037, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.74/1.31 , clause( 4038, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.74/1.31 , clause( 4039, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , clause( 4040, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , clause( 4041, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.74/1.31 , clause( 4042, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.74/1.31 , clause( 4043, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.74/1.31 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 4044, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 4045, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.74/1.31 , clause( 4046, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.74/1.31 , clause( 4047, [ =( 'least_upper_bound'( identity, c ), c ) ] )
% 0.74/1.31 , clause( 4048, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 , clause( 4049, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), multiply( 'greatest_lower_bound'( a, b ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ), multiply( 'greatest_lower_bound'( a,
% 0.74/1.31 b ), 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 4050, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 ] ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , clause( 4030, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 , clause( 4033, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.74/1.31 Y, X ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.74/1.31 ] )
% 0.74/1.31 , clause( 4034, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.74/1.31 , 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4035, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.74/1.31 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4036, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.74/1.31 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.74/1.31 ) ] )
% 0.74/1.31 , clause( 4039, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 , clause( 4040, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4096, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.74/1.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4044, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.74/1.31 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , clause( 4096, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 0.74/1.31 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.74/1.31 , clause( 4046, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 , clause( 4048, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4190, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), multiply( 'greatest_lower_bound'( a, b ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ), multiply( identity,
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 , 0, clause( 4049, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), multiply( 'greatest_lower_bound'( a, b ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ), multiply( 'greatest_lower_bound'( a,
% 0.74/1.31 b ), 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , 0, 15, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4191, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), multiply( identity, 'greatest_lower_bound'( a, c ) ) ),
% 0.74/1.31 multiply( identity, 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 18, [ =( 'greatest_lower_bound'( a, b ), identity ) ] )
% 0.74/1.31 , 0, clause( 4190, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), multiply( 'greatest_lower_bound'( a, b ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ), multiply( identity,
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , 0, 8, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4195, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), multiply( identity, 'greatest_lower_bound'( a, c ) ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , 0, clause( 4191, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), multiply( identity, 'greatest_lower_bound'( a, c ) )
% 0.74/1.31 ), multiply( identity, 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , 0, 12, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, c ) )] ),
% 0.74/1.31 substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4196, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a, c
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , 0, clause( 4195, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), multiply( identity, 'greatest_lower_bound'( a, c ) )
% 0.74/1.31 ), 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.31 , 0, 7, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, c ) )] ),
% 0.74/1.31 substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 19, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a, c
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , clause( 4196, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a,
% 0.74/1.31 multiply( b, c ) ), 'greatest_lower_bound'( a, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 20, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 4050, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4219, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4220, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, clause( 4219, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.74/1.31 X, Y ) ) ) ] )
% 0.74/1.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.74/1.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4223, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , clause( 4220, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 35, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 , clause( 4223, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4225, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4226, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.74/1.31 , clause( 16, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.74/1.31 , 0, clause( 4225, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.74/1.31 X, Y ) ) ) ] )
% 0.74/1.31 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.74/1.31 , b )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4227, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.74/1.31 , clause( 4226, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 38, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.74/1.31 , clause( 4227, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4229, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 0.74/1.31 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4232, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 0.74/1.31 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, clause( 4229, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z
% 0.74/1.31 ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.74/1.31 :=( X, X ), :=( Y, Y ), :=( Z, 'greatest_lower_bound'( Y, Z ) )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 , clause( 4232, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ),
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), 'least_upper_bound'( X, Y ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4236, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4237, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, clause( 4236, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.74/1.31 X, Y ) ) ) ] )
% 0.74/1.31 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.31 :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4240, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , clause( 4237, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.74/1.31 X ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 , clause( 4240, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4241, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4242, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.74/1.31 ) ] )
% 0.74/1.31 , 0, clause( 4241, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.74/1.31 X, Y ) ) ) ] )
% 0.74/1.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( X, Y
% 0.74/1.31 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , clause( 4242, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( X, Y )
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 , clause( 4245, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4246, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.74/1.31 ) ) ) ] )
% 0.74/1.31 , clause( 67, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4247, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.74/1.31 ) ] )
% 0.74/1.31 , 0, clause( 4246, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.74/1.31 Y, X ) ) ) ] )
% 0.74/1.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 0.74/1.31 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4250, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , clause( 4247, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.74/1.31 X ) ] )
% 0.74/1.31 , clause( 4250, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 0.74/1.31 ), X ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4252, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.74/1.31 X ) ) ] )
% 0.74/1.31 , clause( 35, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4255, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.74/1.31 Y, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, clause( 4252, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.74/1.31 Y ), X ) ) ] )
% 0.74/1.31 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.74/1.31 :=( X, 'greatest_lower_bound'( X, Y ) ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4256, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( Y, X ), Y ) ) ] )
% 0.74/1.31 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.74/1.31 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , 0, clause( 4255, [ =( 'greatest_lower_bound'( X, Y ),
% 0.74/1.31 'greatest_lower_bound'( Y, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.31 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4257, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 0.74/1.31 Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , clause( 4256, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( Y, X ), Y ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 72, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ), Y
% 0.74/1.31 ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , clause( 4257, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X )
% 0.74/1.31 , Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4259, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.31 Y ) ) ] )
% 0.74/1.31 , clause( 71, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4260, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , clause( 5, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.74/1.31 ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , 0, clause( 4259, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X,
% 0.74/1.31 Y ), Y ) ) ] )
% 0.74/1.31 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.31 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 0.74/1.31 ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4261, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , clause( 4260, [ =( 'greatest_lower_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( 'greatest_lower_bound'( Z, X ), Y ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 75, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.74/1.31 , clause( 4261, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.74/1.31 'greatest_lower_bound'( Z, X ), Y ), 'greatest_lower_bound'( X, Y ) ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4263, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 0.74/1.31 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.74/1.31 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4268, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 0.74/1.31 , clause( 68, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ), X )
% 0.74/1.31 , X ) ] )
% 0.74/1.31 , 0, clause( 4263, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z
% 0.74/1.31 ), 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.74/1.31 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 , clause( 4268, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), Y ), 'least_upper_bound'( X, Y ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4273, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.74/1.31 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.74/1.31 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4274, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 0.74/1.31 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.74/1.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , 0, clause( 4273, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.74/1.31 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.74/1.31 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.74/1.31 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4276, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ), multiply(
% 0.74/1.31 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 0.74/1.31 , clause( 4274, [ =( multiply( 'greatest_lower_bound'( identity, X ), Y ),
% 0.74/1.31 'greatest_lower_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 139, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 0.74/1.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 0.74/1.31 , clause( 4276, [ =( 'greatest_lower_bound'( Y, multiply( X, Y ) ),
% 0.74/1.31 multiply( 'greatest_lower_bound'( identity, X ), Y ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.31 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4278, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( a, multiply( b, c ) ), 'greatest_lower_bound'( a
% 0.74/1.31 , c ) ) ) ] )
% 0.74/1.31 , clause( 19, [ =( 'least_upper_bound'( 'greatest_lower_bound'( a, multiply(
% 0.74/1.31 b, c ) ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a, c
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4281, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( multiply( b, c ), a ), 'greatest_lower_bound'( a
% 0.74/1.31 , c ) ) ) ] )
% 0.74/1.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, clause( 4278, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( a, multiply( b, c ) ), 'greatest_lower_bound'( a
% 0.74/1.31 , c ) ) ) ] )
% 0.74/1.31 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, c ) )] ),
% 0.74/1.31 substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4294, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( b
% 0.74/1.31 , c ), a ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a,
% 0.74/1.31 c ) ) ] )
% 0.74/1.31 , clause( 4281, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( multiply( b, c ), a ), 'greatest_lower_bound'( a
% 0.74/1.31 , c ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 156, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply( b
% 0.74/1.31 , c ), a ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a,
% 0.74/1.31 c ) ) ] )
% 0.74/1.31 , clause( 4294, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 0.74/1.31 b, c ), a ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a
% 0.74/1.31 , c ) ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4295, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.31 'greatest_lower_bound'( a, multiply( b, c ) ) ) ) ] )
% 0.74/1.31 , clause( 20, [ ~( =( 'greatest_lower_bound'( a, multiply( b, c ) ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4297, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 0.74/1.31 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.74/1.31 , X ) ) ] )
% 0.74/1.31 , 0, clause( 4295, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.31 'greatest_lower_bound'( a, multiply( b, c ) ) ) ) ] )
% 0.74/1.31 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, c ) )] ),
% 0.74/1.31 substitution( 1, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4303, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 4297, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.31 'greatest_lower_bound'( multiply( b, c ), a ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 168, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , clause( 4303, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.31 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4305, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 65, [ =( 'least_upper_bound'( 'least_upper_bound'( Z, X ),
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4306, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.74/1.31 , 'least_upper_bound'( 'least_upper_bound'( X, 'greatest_lower_bound'( Y
% 0.74/1.31 , Z ) ), 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 0.74/1.31 , clause( 72, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 0.74/1.31 Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , 0, clause( 4305, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'least_upper_bound'( X, Y ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.31 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4307, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 0.74/1.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 4306, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.74/1.31 ), 'least_upper_bound'( 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.74/1.31 Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 564, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ),
% 0.74/1.31 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , clause( 4307, [ =( 'least_upper_bound'( 'least_upper_bound'( X,
% 0.74/1.31 'greatest_lower_bound'( Y, Z ) ), 'greatest_lower_bound'( Z, Y ) ),
% 0.74/1.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4309, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 0.74/1.31 , clause( 77, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), X ), 'least_upper_bound'( Z, X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4311, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.74/1.31 , 'least_upper_bound'( 'least_upper_bound'( X, 'greatest_lower_bound'( Z
% 0.74/1.31 , Y ) ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , clause( 72, [ =( 'greatest_lower_bound'( 'greatest_lower_bound'( Y, X ),
% 0.74/1.31 Y ), 'greatest_lower_bound'( X, Y ) ) ] )
% 0.74/1.31 , 0, clause( 4309, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.74/1.31 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ), Y ) ) ] )
% 0.74/1.31 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.31 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) ), :=( Z, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4312, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) )
% 0.74/1.31 , 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 0.74/1.31 , clause( 564, [ =( 'least_upper_bound'( 'least_upper_bound'( Z,
% 0.74/1.31 'greatest_lower_bound'( X, Y ) ), 'greatest_lower_bound'( Y, X ) ),
% 0.74/1.31 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , 0, clause( 4311, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.74/1.31 Z ) ), 'least_upper_bound'( 'least_upper_bound'( X,
% 0.74/1.31 'greatest_lower_bound'( Z, Y ) ), 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.31 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.31 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 756, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X ) )
% 0.74/1.31 , 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , clause( 4312, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.74/1.31 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4313, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) )
% 0.74/1.31 , 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 0.74/1.31 , clause( 756, [ =( 'least_upper_bound'( Z, 'greatest_lower_bound'( Y, X )
% 0.74/1.31 ), 'least_upper_bound'( Z, 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.74/1.31 , 0, clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.74/1.31 ) ) ] )
% 0.74/1.31 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.74/1.31 substitution( 1, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )
% 0.74/1.31 ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 780, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y ) )
% 0.74/1.31 , 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 0.74/1.31 , clause( 4313, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y )
% 0.74/1.31 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 0.74/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4318, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X ),
% 0.74/1.31 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 0.74/1.31 , clause( 139, [ =( 'greatest_lower_bound'( X, multiply( Y, X ) ), multiply(
% 0.74/1.31 'greatest_lower_bound'( identity, Y ), X ) ) ] )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4320, [ =( multiply( identity, X ), 'greatest_lower_bound'( X,
% 0.74/1.31 multiply( b, X ) ) ) ] )
% 0.74/1.31 , clause( 38, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.74/1.31 , 0, clause( 4318, [ =( multiply( 'greatest_lower_bound'( identity, Y ), X
% 0.74/1.31 ), 'greatest_lower_bound'( X, multiply( Y, X ) ) ) ] )
% 0.74/1.31 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b )] )
% 0.74/1.31 ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 paramod(
% 0.74/1.31 clause( 4321, [ =( X, 'greatest_lower_bound'( X, multiply( b, X ) ) ) ] )
% 0.74/1.31 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.31 , 0, clause( 4320, [ =( multiply( identity, X ), 'greatest_lower_bound'( X
% 0.74/1.31 , multiply( b, X ) ) ) ] )
% 0.74/1.31 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.31 ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4322, [ =( 'greatest_lower_bound'( X, multiply( b, X ) ), X ) ] )
% 0.74/1.31 , clause( 4321, [ =( X, 'greatest_lower_bound'( X, multiply( b, X ) ) ) ]
% 0.74/1.31 )
% 0.74/1.31 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 subsumption(
% 0.74/1.31 clause( 3021, [ =( 'greatest_lower_bound'( X, multiply( b, X ) ), X ) ] )
% 0.74/1.31 , clause( 4322, [ =( 'greatest_lower_bound'( X, multiply( b, X ) ), X ) ]
% 0.74/1.31 )
% 0.74/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.31
% 0.74/1.31
% 0.74/1.31 eqswap(
% 0.74/1.31 clause( 4324, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 0.74/1.31 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 0.74/1.32 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , clause( 75, [ =( 'least_upper_bound'( 'greatest_lower_bound'(
% 0.74/1.32 'greatest_lower_bound'( X, Y ), Z ), 'greatest_lower_bound'( Y, Z ) ),
% 0.74/1.32 'greatest_lower_bound'( Y, Z ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4328, [ =( 'greatest_lower_bound'( multiply( b, X ), Y ),
% 0.74/1.32 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ) ) ] )
% 0.74/1.32 , clause( 3021, [ =( 'greatest_lower_bound'( X, multiply( b, X ) ), X ) ]
% 0.74/1.32 )
% 0.74/1.32 , 0, clause( 4324, [ =( 'greatest_lower_bound'( Y, Z ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ),
% 0.74/1.32 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.32 :=( Y, multiply( b, X ) ), :=( Z, Y )] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 eqswap(
% 0.74/1.32 clause( 4334, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, X ), Y ) ) ] )
% 0.74/1.32 , clause( 4328, [ =( 'greatest_lower_bound'( multiply( b, X ), Y ),
% 0.74/1.32 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 subsumption(
% 0.74/1.32 clause( 3072, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, X ), Y ) ) ] )
% 0.74/1.32 , clause( 4334, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, X ), Y ) ) ] )
% 0.74/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.32 )] ) ).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 eqswap(
% 0.74/1.32 clause( 4335, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( multiply( b, c ), a ), 'greatest_lower_bound'( a
% 0.74/1.32 , c ) ) ) ] )
% 0.74/1.32 , clause( 156, [ =( 'least_upper_bound'( 'greatest_lower_bound'( multiply(
% 0.74/1.32 b, c ), a ), 'greatest_lower_bound'( a, c ) ), 'greatest_lower_bound'( a
% 0.74/1.32 , c ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 eqswap(
% 0.74/1.32 clause( 4336, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X )
% 0.74/1.32 , 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , clause( 780, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Z, Y )
% 0.74/1.32 ), 'least_upper_bound'( 'greatest_lower_bound'( Y, Z ), X ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4338, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( a, multiply( b, c
% 0.74/1.32 ) ) ) ) ] )
% 0.74/1.32 , clause( 4336, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 0.74/1.32 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , 0, clause( 4335, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( multiply( b, c ), a ), 'greatest_lower_bound'( a
% 0.74/1.32 , c ) ) ) ] )
% 0.74/1.32 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, c ) ), :=( Y,
% 0.74/1.32 a ), :=( Z, multiply( b, c ) )] ), substitution( 1, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4339, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( a, multiply( b, c ) ), 'greatest_lower_bound'( c
% 0.74/1.32 , a ) ) ) ] )
% 0.74/1.32 , clause( 4336, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 0.74/1.32 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , 0, clause( 4338, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( a, multiply( b, c
% 0.74/1.32 ) ) ) ) ] )
% 0.74/1.32 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( a, multiply( b, c
% 0.74/1.32 ) ) ), :=( Y, c ), :=( Z, a )] ), substitution( 1, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4340, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( c, a ), 'greatest_lower_bound'( multiply( b, c )
% 0.74/1.32 , a ) ) ) ] )
% 0.74/1.32 , clause( 4336, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Z, Y ), X
% 0.74/1.32 ), 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.74/1.32 , 0, clause( 4339, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( a, multiply( b, c ) ), 'greatest_lower_bound'( c
% 0.74/1.32 , a ) ) ) ] )
% 0.74/1.32 , 0, 4, substitution( 0, [ :=( X, 'greatest_lower_bound'( c, a ) ), :=( Y,
% 0.74/1.32 multiply( b, c ) ), :=( Z, a )] ), substitution( 1, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4342, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, c ), a ) ) ] )
% 0.74/1.32 , clause( 3072, [ =( 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.74/1.32 'greatest_lower_bound'( multiply( b, X ), Y ) ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, X ), Y ) ) ] )
% 0.74/1.32 , 0, clause( 4340, [ =( 'greatest_lower_bound'( a, c ), 'least_upper_bound'(
% 0.74/1.32 'greatest_lower_bound'( c, a ), 'greatest_lower_bound'( multiply( b, c )
% 0.74/1.32 , a ) ) ) ] )
% 0.74/1.32 , 0, 4, substitution( 0, [ :=( X, c ), :=( Y, a )] ), substitution( 1, [] )
% 0.74/1.32 ).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 eqswap(
% 0.74/1.32 clause( 4343, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.32 , clause( 4342, [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'(
% 0.74/1.32 multiply( b, c ), a ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 subsumption(
% 0.74/1.32 clause( 3667, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.32 , clause( 4343, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 paramod(
% 0.74/1.32 clause( 4346, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.32 , clause( 3667, [ =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ] )
% 0.74/1.32 , 0, clause( 168, [ ~( =( 'greatest_lower_bound'( multiply( b, c ), a ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.32 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 eqrefl(
% 0.74/1.32 clause( 4347, [] )
% 0.74/1.32 , clause( 4346, [ ~( =( 'greatest_lower_bound'( a, c ),
% 0.74/1.32 'greatest_lower_bound'( a, c ) ) ) ] )
% 0.74/1.32 , 0, substitution( 0, [] )).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 subsumption(
% 0.74/1.32 clause( 4028, [] )
% 0.74/1.32 , clause( 4347, [] )
% 0.74/1.32 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 end.
% 0.74/1.32
% 0.74/1.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.32
% 0.74/1.32 Memory use:
% 0.74/1.32
% 0.74/1.32 space for terms: 49004
% 0.74/1.32 space for clauses: 395557
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 clauses generated: 48417
% 0.74/1.32 clauses kept: 4029
% 0.74/1.32 clauses selected: 460
% 0.74/1.32 clauses deleted: 45
% 0.74/1.32 clauses inuse deleted: 13
% 0.74/1.32
% 0.74/1.32 subsentry: 7445
% 0.74/1.32 literals s-matched: 6443
% 0.74/1.32 literals matched: 6431
% 0.74/1.32 full subsumption: 0
% 0.74/1.32
% 0.74/1.32 checksum: 238282538
% 0.74/1.32
% 0.74/1.32
% 0.74/1.32 Bliksem ended
%------------------------------------------------------------------------------