TSTP Solution File: GRP181-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP181-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:35:53 EDT 2022
% Result : Unsatisfiable 2.04s 2.41s
% Output : Refutation 2.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP181-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 23:10:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.04/2.41 *** allocated 10000 integers for termspace/termends
% 2.04/2.41 *** allocated 10000 integers for clauses
% 2.04/2.41 *** allocated 10000 integers for justifications
% 2.04/2.41 Bliksem 1.12
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Automatic Strategy Selection
% 2.04/2.41
% 2.04/2.41 Clauses:
% 2.04/2.41 [
% 2.04/2.41 [ =( multiply( identity, X ), X ) ],
% 2.04/2.41 [ =( multiply( inverse( X ), X ), identity ) ],
% 2.04/2.41 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 2.04/2.41 ],
% 2.04/2.41 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 2.04/2.41 ,
% 2.04/2.41 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 2.04/2.41 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.41 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 2.04/2.41 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.41 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 2.04/2.41 [ =( 'least_upper_bound'( X, X ), X ) ],
% 2.04/2.41 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 2.04/2.41 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 2.04/2.41 ,
% 2.04/2.41 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 2.04/2.41 ,
% 2.04/2.41 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 2.04/2.41 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.04/2.41 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 2.04/2.41 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 2.04/2.41 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.04/2.41 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 2.04/2.41 [ =( 'greatest_lower_bound'( a, c ), 'greatest_lower_bound'( b, c ) ) ]
% 2.04/2.41 ,
% 2.04/2.41 [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b, c ) ) ],
% 2.04/2.41 [ =( inverse( 'greatest_lower_bound'( X, Y ) ), 'least_upper_bound'(
% 2.04/2.41 inverse( X ), inverse( Y ) ) ) ],
% 2.04/2.41 [ =( inverse( 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'(
% 2.04/2.41 inverse( X ), inverse( Y ) ) ) ],
% 2.04/2.41 [ ~( =( a, b ) ) ]
% 2.04/2.41 ] .
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 percentage equality = 1.000000, percentage horn = 1.000000
% 2.04/2.41 This is a pure equality problem
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Options Used:
% 2.04/2.41
% 2.04/2.41 useres = 1
% 2.04/2.41 useparamod = 1
% 2.04/2.41 useeqrefl = 1
% 2.04/2.41 useeqfact = 1
% 2.04/2.41 usefactor = 1
% 2.04/2.41 usesimpsplitting = 0
% 2.04/2.41 usesimpdemod = 5
% 2.04/2.41 usesimpres = 3
% 2.04/2.41
% 2.04/2.41 resimpinuse = 1000
% 2.04/2.41 resimpclauses = 20000
% 2.04/2.41 substype = eqrewr
% 2.04/2.41 backwardsubs = 1
% 2.04/2.41 selectoldest = 5
% 2.04/2.41
% 2.04/2.41 litorderings [0] = split
% 2.04/2.41 litorderings [1] = extend the termordering, first sorting on arguments
% 2.04/2.41
% 2.04/2.41 termordering = kbo
% 2.04/2.41
% 2.04/2.41 litapriori = 0
% 2.04/2.41 termapriori = 1
% 2.04/2.41 litaposteriori = 0
% 2.04/2.41 termaposteriori = 0
% 2.04/2.41 demodaposteriori = 0
% 2.04/2.41 ordereqreflfact = 0
% 2.04/2.41
% 2.04/2.41 litselect = negord
% 2.04/2.41
% 2.04/2.41 maxweight = 15
% 2.04/2.41 maxdepth = 30000
% 2.04/2.41 maxlength = 115
% 2.04/2.41 maxnrvars = 195
% 2.04/2.41 excuselevel = 1
% 2.04/2.41 increasemaxweight = 1
% 2.04/2.41
% 2.04/2.41 maxselected = 10000000
% 2.04/2.41 maxnrclauses = 10000000
% 2.04/2.41
% 2.04/2.41 showgenerated = 0
% 2.04/2.41 showkept = 0
% 2.04/2.41 showselected = 0
% 2.04/2.41 showdeleted = 0
% 2.04/2.41 showresimp = 1
% 2.04/2.41 showstatus = 2000
% 2.04/2.41
% 2.04/2.41 prologoutput = 1
% 2.04/2.41 nrgoals = 5000000
% 2.04/2.41 totalproof = 1
% 2.04/2.41
% 2.04/2.41 Symbols occurring in the translation:
% 2.04/2.41
% 2.04/2.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.04/2.41 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 2.04/2.41 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 2.04/2.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.41 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.04/2.41 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 2.04/2.41 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.04/2.41 'greatest_lower_bound' [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 2.04/2.41 'least_upper_bound' [46, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.04/2.41 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.04/2.41 c [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.04/2.41 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Starting Search:
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 21126
% 2.04/2.41 Kept: 2040
% 2.04/2.41 Inuse: 225
% 2.04/2.41 Deleted: 23
% 2.04/2.41 Deletedinuse: 10
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 53747
% 2.04/2.41 Kept: 4057
% 2.04/2.41 Inuse: 377
% 2.04/2.41 Deleted: 43
% 2.04/2.41 Deletedinuse: 14
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 91803
% 2.04/2.41 Kept: 6080
% 2.04/2.41 Inuse: 511
% 2.04/2.41 Deleted: 46
% 2.04/2.41 Deletedinuse: 14
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 149779
% 2.04/2.41 Kept: 8082
% 2.04/2.41 Inuse: 640
% 2.04/2.41 Deleted: 57
% 2.04/2.41 Deletedinuse: 14
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 217370
% 2.04/2.41 Kept: 10114
% 2.04/2.41 Inuse: 782
% 2.04/2.41 Deleted: 81
% 2.04/2.41 Deletedinuse: 14
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 Intermediate Status:
% 2.04/2.41 Generated: 288254
% 2.04/2.41 Kept: 12118
% 2.04/2.41 Inuse: 906
% 2.04/2.41 Deleted: 107
% 2.04/2.41 Deletedinuse: 14
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41 Done
% 2.04/2.41
% 2.04/2.41 Resimplifying inuse:
% 2.04/2.41
% 2.04/2.41 Bliksems!, er is een bewijs:
% 2.04/2.41 % SZS status Unsatisfiable
% 2.04/2.41 % SZS output start Refutation
% 2.04/2.41
% 2.04/2.41 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.04/2.41 , Z ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.04/2.41 ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.04/2.41 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.04/2.41 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 2.04/2.41 , c ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 2.04/2.41 ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 17, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 19, [ ~( =( b, a ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.04/2.41 identity ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.04/2.41 ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 143, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 249, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 252, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.04/2.41 ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 259, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 266, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 267, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 305, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 308, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.04/2.41 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 313, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.41 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.04/2.41 )
% 2.04/2.41 .
% 2.04/2.41 clause( 317, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 2.04/2.41 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 322, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 13151, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.41 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 13178, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.41 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 13206, [ =( b, a ) ] )
% 2.04/2.41 .
% 2.04/2.41 clause( 13228, [] )
% 2.04/2.41 .
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 % SZS output end Refutation
% 2.04/2.41 found a proof!
% 2.04/2.41
% 2.04/2.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.41
% 2.04/2.41 initialclauses(
% 2.04/2.41 [ clause( 13230, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 , clause( 13231, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , clause( 13232, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.04/2.41 multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 13233, [ =( 'greatest_lower_bound'( X, Y ),
% 2.04/2.41 'greatest_lower_bound'( Y, X ) ) ] )
% 2.04/2.41 , clause( 13234, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.04/2.41 X ) ) ] )
% 2.04/2.41 , clause( 13235, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y
% 2.04/2.41 , Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ]
% 2.04/2.41 )
% 2.04/2.41 , clause( 13236, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 2.04/2.41 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 2.04/2.41 , clause( 13237, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 2.04/2.41 , clause( 13238, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 2.04/2.41 , clause( 13239, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 2.04/2.41 ) ), X ) ] )
% 2.04/2.41 , clause( 13240, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 2.04/2.41 ) ), X ) ] )
% 2.04/2.41 , clause( 13241, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 2.04/2.41 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.04/2.41 , clause( 13242, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.04/2.41 , clause( 13243, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 2.04/2.41 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 13244, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 13245, [ =( 'greatest_lower_bound'( a, c ),
% 2.04/2.41 'greatest_lower_bound'( b, c ) ) ] )
% 2.04/2.41 , clause( 13246, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 2.04/2.41 c ) ) ] )
% 2.04/2.41 , clause( 13247, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.41 , clause( 13248, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 2.04/2.41 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.41 , clause( 13249, [ ~( =( a, b ) ) ] )
% 2.04/2.41 ] ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 , clause( 13230, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , clause( 13231, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13255, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 2.04/2.41 , Y ), Z ) ) ] )
% 2.04/2.41 , clause( 13232, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.04/2.41 multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 2.04/2.41 , Z ) ) ] )
% 2.04/2.41 , clause( 13255, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 2.04/2.41 X, Y ), Z ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 2.04/2.41 ] )
% 2.04/2.41 , clause( 13234, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y,
% 2.04/2.41 X ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13269, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 2.04/2.41 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 13242, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 2.04/2.41 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 13269, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 2.04/2.41 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13282, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 2.04/2.41 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.04/2.41 , clause( 13244, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 2.04/2.41 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 2.04/2.41 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.04/2.41 , clause( 13282, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y
% 2.04/2.41 , Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13296, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 2.04/2.41 a, c ) ) ] )
% 2.04/2.41 , clause( 13245, [ =( 'greatest_lower_bound'( a, c ),
% 2.04/2.41 'greatest_lower_bound'( b, c ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'( a
% 2.04/2.41 , c ) ) ] )
% 2.04/2.41 , clause( 13296, [ =( 'greatest_lower_bound'( b, c ),
% 2.04/2.41 'greatest_lower_bound'( a, c ) ) ] )
% 2.04/2.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13311, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 13246, [ =( 'least_upper_bound'( a, c ), 'least_upper_bound'( b,
% 2.04/2.41 c ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c ) )
% 2.04/2.41 ] )
% 2.04/2.41 , clause( 13311, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a,
% 2.04/2.41 c ) ) ] )
% 2.04/2.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13327, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.04/2.41 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 , clause( 13247, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 17, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 , clause( 13327, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.04/2.41 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13345, [ ~( =( b, a ) ) ] )
% 2.04/2.41 , clause( 13249, [ ~( =( a, b ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 19, [ ~( =( b, a ) ) ] )
% 2.04/2.41 , clause( 13345, [ ~( =( b, a ) ) ] )
% 2.04/2.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13347, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.04/2.41 Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.04/2.41 ), Z ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13352, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 2.04/2.41 , identity ) ) ] )
% 2.04/2.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , 0, clause( 13347, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.04/2.41 multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.41 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 2.04/2.41 identity ) ) ] )
% 2.04/2.41 , clause( 13352, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 2.04/2.41 X, identity ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13357, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 2.04/2.41 Y, Z ) ) ) ] )
% 2.04/2.41 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 2.04/2.41 ), Z ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13362, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 , 0, clause( 13357, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 2.04/2.41 multiply( Y, Z ) ) ) ] )
% 2.04/2.41 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.41 :=( Y, identity ), :=( Z, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 2.04/2.41 ] )
% 2.04/2.41 , clause( 13362, [ =( multiply( multiply( X, identity ), Y ), multiply( X,
% 2.04/2.41 Y ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13367, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.41 , clause( 17, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.04/2.41 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13369, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.04/2.41 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 2.04/2.41 ) ] )
% 2.04/2.41 , 0, clause( 13367, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.41 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, inverse( Y ) )] )
% 2.04/2.41 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13371, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.04/2.41 , clause( 17, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.04/2.41 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.41 , 0, clause( 13369, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.41 'least_upper_bound'( inverse( Y ), inverse( X ) ) ) ] )
% 2.04/2.41 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.41 :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 143, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.04/2.41 , clause( 13371, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.04/2.41 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13373, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.04/2.41 Y ) ), Y ) ) ] )
% 2.04/2.41 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.04/2.41 , identity ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13376, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 2.04/2.41 identity, X ) ) ] )
% 2.04/2.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , 0, clause( 13373, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.04/2.41 inverse( Y ) ), Y ) ) ] )
% 2.04/2.41 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.04/2.41 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13377, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.04/2.41 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 2.04/2.41 , 0, clause( 13376, [ =( multiply( inverse( inverse( X ) ), identity ),
% 2.04/2.41 multiply( identity, X ) ) ] )
% 2.04/2.41 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.41 ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 249, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.04/2.41 , clause( 13377, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 2.04/2.41 )
% 2.04/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13380, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 22, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 2.04/2.41 ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13383, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 249, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.04/2.41 , 0, clause( 13380, [ =( multiply( X, Y ), multiply( multiply( X, identity
% 2.04/2.41 ), Y ) ) ] )
% 2.04/2.41 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.04/2.41 inverse( X ) ) ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 252, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 2.04/2.41 ) ] )
% 2.04/2.41 , clause( 13383, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X,
% 2.04/2.41 Y ) ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.41 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13389, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 252, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13392, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.41 , clause( 249, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 2.04/2.41 , 0, clause( 13389, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 2.04/2.41 ), Y ) ) ] )
% 2.04/2.41 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.41 :=( Y, identity )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 259, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.41 , clause( 13392, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13397, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , clause( 252, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13400, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.41 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 2.04/2.41 , 0, clause( 13397, [ =( multiply( X, Y ), multiply( inverse( inverse( X )
% 2.04/2.41 ), Y ) ) ] )
% 2.04/2.41 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 2.04/2.41 :=( X, X ), :=( Y, inverse( X ) )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 subsumption(
% 2.04/2.41 clause( 266, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.41 , clause( 13400, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 eqswap(
% 2.04/2.41 clause( 13403, [ =( X, multiply( X, identity ) ) ] )
% 2.04/2.41 , clause( 259, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.41 , 0, substitution( 0, [ :=( X, X )] )).
% 2.04/2.41
% 2.04/2.41
% 2.04/2.41 paramod(
% 2.04/2.41 clause( 13406, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 2.04/2.41 , clause( 252, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 2.04/2.41 ) ) ] )
% 2.04/2.41 , 0, clause( 13403, [ =( X, multiply( X, identity ) ) ] )
% 2.04/2.41 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 2.04/2.41 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13407, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , clause( 259, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.42 , 0, clause( 13406, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 2.04/2.42 ] )
% 2.04/2.42 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.42 ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 267, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , clause( 13407, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13410, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 2.04/2.42 Y ) ), Y ) ) ] )
% 2.04/2.42 , clause( 21, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 2.04/2.42 , identity ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13412, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 2.04/2.42 inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 267, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , 0, clause( 13410, [ =( multiply( X, identity ), multiply( multiply( X,
% 2.04/2.42 inverse( Y ) ), Y ) ) ] )
% 2.04/2.42 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.42 :=( Y, inverse( Y ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13413, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 259, [ =( multiply( X, identity ), X ) ] )
% 2.04/2.42 , 0, clause( 13412, [ =( multiply( X, identity ), multiply( multiply( X, Y
% 2.04/2.42 ), inverse( Y ) ) ) ] )
% 2.04/2.42 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.42 :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13414, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.04/2.42 , clause( 13413, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 305, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.04/2.42 , clause( 13414, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13416, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.42 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 17, [ =( 'least_upper_bound'( inverse( X ), inverse( Y ) ),
% 2.04/2.42 inverse( 'greatest_lower_bound'( X, Y ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13417, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.04/2.42 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 267, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , 0, clause( 13416, [ =( inverse( 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.42 'least_upper_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 2.04/2.42 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 2.04/2.42 X ) ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 308, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.04/2.42 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 13417, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) )
% 2.04/2.42 , 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13422, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.04/2.42 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.04/2.42 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 2.04/2.42 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13425, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y )
% 2.04/2.42 ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , clause( 266, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.42 , 0, clause( 13422, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 2.04/2.42 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 2.04/2.42 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.42 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13428, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.04/2.42 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , clause( 13425, [ =( multiply( 'greatest_lower_bound'( X, Y ), inverse( Y
% 2.04/2.42 ) ), 'greatest_lower_bound'( multiply( X, inverse( Y ) ), identity ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 313, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.42 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , clause( 13428, [ =( 'greatest_lower_bound'( multiply( X, inverse( Y ) ),
% 2.04/2.42 identity ), multiply( 'greatest_lower_bound'( X, Y ), inverse( Y ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13430, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.42 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.04/2.42 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 2.04/2.42 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13432, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 2.04/2.42 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.42 , clause( 266, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 2.04/2.42 , 0, clause( 13430, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 2.04/2.42 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 2.04/2.42 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.42 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 317, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 2.04/2.42 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.42 , clause( 13432, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X )
% 2.04/2.42 ) ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13435, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 2.04/2.42 , clause( 305, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13436, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y, Z
% 2.04/2.42 ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.42 , clause( 143, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 2.04/2.42 'greatest_lower_bound'( Y, X ) ) ) ] )
% 2.04/2.42 , 0, clause( 13435, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 2.04/2.42 :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, Z ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13439, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z ) )
% 2.04/2.42 , inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 2.04/2.42 , clause( 13436, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y,
% 2.04/2.42 Z ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 322, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) ),
% 2.04/2.42 inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.04/2.42 , clause( 13439, [ =( multiply( multiply( X, 'greatest_lower_bound'( Y, Z )
% 2.04/2.42 ), inverse( 'greatest_lower_bound'( Z, Y ) ) ), X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 2.04/2.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13441, [ =( X, multiply( multiply( X, 'greatest_lower_bound'( Y, Z
% 2.04/2.42 ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.42 , clause( 322, [ =( multiply( multiply( Z, 'greatest_lower_bound'( X, Y ) )
% 2.04/2.42 , inverse( 'greatest_lower_bound'( Y, X ) ) ), Z ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13444, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) ) ] )
% 2.04/2.42 , clause( 317, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 2.04/2.42 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 2.04/2.42 , 0, clause( 13441, [ =( X, multiply( multiply( X, 'greatest_lower_bound'(
% 2.04/2.42 Y, Z ) ), inverse( 'greatest_lower_bound'( Z, Y ) ) ) ) ] )
% 2.04/2.42 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.04/2.42 :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13445, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.42 , clause( 308, [ =( inverse( 'greatest_lower_bound'( inverse( X ), Y ) ),
% 2.04/2.42 'least_upper_bound'( X, inverse( Y ) ) ) ] )
% 2.04/2.42 , 0, clause( 13444, [ =( X, multiply( 'greatest_lower_bound'( multiply( X,
% 2.04/2.42 Y ), identity ), inverse( 'greatest_lower_bound'( inverse( X ), Y ) ) ) )
% 2.04/2.42 ] )
% 2.04/2.42 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 2.04/2.42 :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13446, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.42 , clause( 13445, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y )
% 2.04/2.42 , identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 13151, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.42 , clause( 13446, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13448, [ =( X, multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.42 , clause( 13151, [ =( multiply( 'greatest_lower_bound'( multiply( X, Y ),
% 2.04/2.42 identity ), 'least_upper_bound'( X, inverse( Y ) ) ), X ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13456, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , clause( 313, [ =( 'greatest_lower_bound'( multiply( Y, inverse( X ) ),
% 2.04/2.42 identity ), multiply( 'greatest_lower_bound'( Y, X ), inverse( X ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 , 0, clause( 13448, [ =( X, multiply( 'greatest_lower_bound'( multiply( X,
% 2.04/2.42 Y ), identity ), 'least_upper_bound'( X, inverse( Y ) ) ) ) ] )
% 2.04/2.42 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 2.04/2.42 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13457, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.42 , clause( 267, [ =( inverse( inverse( X ) ), X ) ] )
% 2.04/2.42 , 0, clause( 13456, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 2.04/2.42 Y ), inverse( Y ) ), 'least_upper_bound'( X, inverse( inverse( Y ) ) ) )
% 2.04/2.42 ) ] )
% 2.04/2.42 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 2.04/2.42 :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13458, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.42 , clause( 13457, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y )
% 2.04/2.42 , inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 13178, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.42 , clause( 13458, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.42 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqswap(
% 2.04/2.42 clause( 13460, [ =( X, multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.42 , clause( 13178, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13463, [ =( b, multiply( multiply( 'greatest_lower_bound'( a, c ),
% 2.04/2.42 inverse( c ) ), 'least_upper_bound'( b, c ) ) ) ] )
% 2.04/2.42 , clause( 15, [ =( 'greatest_lower_bound'( b, c ), 'greatest_lower_bound'(
% 2.04/2.42 a, c ) ) ] )
% 2.04/2.42 , 0, clause( 13460, [ =( X, multiply( multiply( 'greatest_lower_bound'( X,
% 2.04/2.42 Y ), inverse( Y ) ), 'least_upper_bound'( X, Y ) ) ) ] )
% 2.04/2.42 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 2.04/2.42 ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13464, [ =( b, multiply( multiply( 'greatest_lower_bound'( a, c ),
% 2.04/2.42 inverse( c ) ), 'least_upper_bound'( a, c ) ) ) ] )
% 2.04/2.42 , clause( 16, [ =( 'least_upper_bound'( b, c ), 'least_upper_bound'( a, c )
% 2.04/2.42 ) ] )
% 2.04/2.42 , 0, clause( 13463, [ =( b, multiply( multiply( 'greatest_lower_bound'( a,
% 2.04/2.42 c ), inverse( c ) ), 'least_upper_bound'( b, c ) ) ) ] )
% 2.04/2.42 , 0, 9, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13465, [ =( b, a ) ] )
% 2.04/2.42 , clause( 13178, [ =( multiply( multiply( 'greatest_lower_bound'( X, Y ),
% 2.04/2.42 inverse( Y ) ), 'least_upper_bound'( X, Y ) ), X ) ] )
% 2.04/2.42 , 0, clause( 13464, [ =( b, multiply( multiply( 'greatest_lower_bound'( a,
% 2.04/2.42 c ), inverse( c ) ), 'least_upper_bound'( a, c ) ) ) ] )
% 2.04/2.42 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, c )] ), substitution( 1, [] )
% 2.04/2.42 ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 13206, [ =( b, a ) ] )
% 2.04/2.42 , clause( 13465, [ =( b, a ) ] )
% 2.04/2.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 paramod(
% 2.04/2.42 clause( 13469, [ ~( =( a, a ) ) ] )
% 2.04/2.42 , clause( 13206, [ =( b, a ) ] )
% 2.04/2.42 , 0, clause( 19, [ ~( =( b, a ) ) ] )
% 2.04/2.42 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 eqrefl(
% 2.04/2.42 clause( 13470, [] )
% 2.04/2.42 , clause( 13469, [ ~( =( a, a ) ) ] )
% 2.04/2.42 , 0, substitution( 0, [] )).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 13228, [] )
% 2.04/2.42 , clause( 13470, [] )
% 2.04/2.42 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 end.
% 2.04/2.42
% 2.04/2.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.42
% 2.04/2.42 Memory use:
% 2.04/2.42
% 2.04/2.42 space for terms: 181165
% 2.04/2.42 space for clauses: 1425283
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 clauses generated: 328549
% 2.04/2.42 clauses kept: 13229
% 2.04/2.42 clauses selected: 991
% 2.04/2.42 clauses deleted: 464
% 2.04/2.42 clauses inuse deleted: 354
% 2.04/2.42
% 2.04/2.42 subsentry: 21885
% 2.04/2.42 literals s-matched: 21340
% 2.04/2.42 literals matched: 21326
% 2.04/2.42 full subsumption: 0
% 2.04/2.42
% 2.04/2.42 checksum: 637244421
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Bliksem ended
%------------------------------------------------------------------------------