TSTP Solution File: GRP167-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP167-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:35:43 EDT 2022
% Result : Unsatisfiable 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP167-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 13:48:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ =( multiply( identity, X ), X ) ],
% 0.73/1.09 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.73/1.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.73/1.09 ],
% 0.73/1.09 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.73/1.09 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.09 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.73/1.09 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.73/1.09 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.73/1.09 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.73/1.09 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.73/1.09 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.09 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.09 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.73/1.09 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.09 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.09 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.09 [ =( inverse( 'least_upper_bound'( X, Y ) ), 'greatest_lower_bound'(
% 0.73/1.09 inverse( X ), inverse( Y ) ) ) ],
% 0.73/1.09 [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity ) ) ],
% 0.73/1.09 [ =( 'negative_part'( X ), 'greatest_lower_bound'( X, identity ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.09 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.73/1.09 X, Z ) ) ) ],
% 0.73/1.09 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.09 'greatest_lower_bound'( X, Z ) ) ) ],
% 0.73/1.09 [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'( a ) ) ) ) ]
% 0.73/1.09
% 0.73/1.09 ] .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.09 This is a pure equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 1
% 0.73/1.09 useeqrefl = 1
% 0.73/1.09 useeqfact = 1
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 5
% 0.73/1.09 usesimpres = 3
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = eqrewr
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.09
% 0.73/1.09 termordering = kbo
% 0.73/1.09
% 0.73/1.09 litapriori = 0
% 0.73/1.09 termapriori = 1
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = negord
% 0.73/1.09
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 1
% 0.73/1.09 increasemaxweight = 1
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 1
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.09 multiply [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.09 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.09 'greatest_lower_bound' [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.09 'least_upper_bound' [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.09 'positive_part' [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.09 'negative_part' [50, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.09 a [51, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Unsatisfiable
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.09 ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.09 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 15, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 0.73/1.09 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 16, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 0.73/1.09 ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 17, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 20, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 0.73/1.09 , a ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 23, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 0.73/1.09 ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.09 ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 27, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 297, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 307, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 315, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 0.73/1.09 'positive_part'( Y ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 435, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 438, [ =( inverse( identity ), identity ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 439, [ =( 'negative_part'( inverse( X ) ), inverse( 'positive_part'(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 452, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 464, [ =( inverse( 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'negative_part'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 473, [ =( 'positive_part'( inverse( X ) ), inverse( 'negative_part'(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 786, [ =( multiply( X, inverse( 'negative_part'( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 823, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ), X
% 0.73/1.09 ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 831, [] )
% 0.73/1.09 .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 initialclauses(
% 0.73/1.09 [ clause( 833, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , clause( 834, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , clause( 835, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.09 Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 836, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.09 Y, X ) ) ] )
% 0.73/1.09 , clause( 837, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 838, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.73/1.09 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.09 , clause( 839, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.09 , clause( 840, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.73/1.09 , clause( 841, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.73/1.09 , clause( 842, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.73/1.09 ), X ) ] )
% 0.73/1.09 , clause( 843, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.73/1.09 ), X ) ] )
% 0.73/1.09 , clause( 844, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.09 , clause( 845, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.09 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.09 , clause( 846, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.73/1.09 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 847, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.09 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 848, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 0.73/1.09 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 0.73/1.09 , clause( 849, [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 850, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , clause( 851, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, Z )
% 0.73/1.09 ), 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.73/1.09 'least_upper_bound'( X, Z ) ) ) ] )
% 0.73/1.09 , clause( 852, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, Z )
% 0.73/1.09 ), 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.73/1.09 'greatest_lower_bound'( X, Z ) ) ) ] )
% 0.73/1.09 , clause( 853, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 0.73/1.09 a ) ) ) ) ] )
% 0.73/1.09 ] ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , clause( 833, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , clause( 834, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 859, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.09 ), Z ) ) ] )
% 0.73/1.09 , clause( 835, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.09 Y, Z ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.09 , Z ) ) ] )
% 0.73/1.09 , clause( 859, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.73/1.09 , Y ), Z ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , clause( 836, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.09 Y, X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.09 ] )
% 0.73/1.09 , clause( 837, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 875, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.09 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 844, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.09 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 875, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.09 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 889, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 0.73/1.09 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 848, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 0.73/1.09 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 15, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 0.73/1.09 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 889, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 0.73/1.09 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 904, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 849, [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 16, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X ) )
% 0.73/1.09 ] )
% 0.73/1.09 , clause( 904, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 920, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 850, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 17, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 920, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 939, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 0.73/1.09 , a ) ) ] )
% 0.73/1.09 , clause( 853, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 0.73/1.09 a ) ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 20, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a ) )
% 0.73/1.09 , a ) ) ] )
% 0.73/1.09 , clause( 939, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a )
% 0.73/1.09 ), a ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 940, [ =( 'positive_part'( X ), 'least_upper_bound'( X, identity )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 16, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 941, [ =( 'positive_part'( X ), 'least_upper_bound'( identity, X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, clause( 940, [ =( 'positive_part'( X ), 'least_upper_bound'( X,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.09 1, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 944, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 941, [ =( 'positive_part'( X ), 'least_upper_bound'( identity, X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 23, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X ) )
% 0.73/1.09 ] )
% 0.73/1.09 , clause( 944, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 946, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.09 ), Z ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 951, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , 0, clause( 946, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.09 multiply( Y, Z ) ) ) ] )
% 0.73/1.09 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , clause( 951, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.73/1.09 , identity ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 956, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.09 ), Z ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 961, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , 0, clause( 956, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.09 multiply( Y, Z ) ) ) ] )
% 0.73/1.09 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.09 ] )
% 0.73/1.09 , clause( 961, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 966, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X, identity
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 17, [ =( 'greatest_lower_bound'( X, identity ), 'negative_part'(
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 967, [ =( 'negative_part'( X ), 'greatest_lower_bound'( identity, X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.73/1.09 , X ) ) ] )
% 0.73/1.09 , 0, clause( 966, [ =( 'negative_part'( X ), 'greatest_lower_bound'( X,
% 0.73/1.09 identity ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.09 1, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 970, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 967, [ =( 'negative_part'( X ), 'greatest_lower_bound'( identity
% 0.73/1.09 , X ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 27, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'( X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 970, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 972, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 975, [ =( multiply( inverse( identity ), X ), multiply( identity, X
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , 0, clause( 972, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.09 , Y ) ) ] )
% 0.73/1.09 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.09 inverse( identity ) ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 976, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.73/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , 0, clause( 975, [ =( multiply( inverse( identity ), X ), multiply(
% 0.73/1.09 identity, X ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 297, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.73/1.09 , clause( 976, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 979, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.73/1.09 Y ) ), Y ) ) ] )
% 0.73/1.09 , clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.73/1.09 , identity ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 982, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.73/1.09 identity, X ) ) ] )
% 0.73/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , 0, clause( 979, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.73/1.09 inverse( Y ) ), Y ) ) ] )
% 0.73/1.09 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.09 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 983, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.09 , 0, clause( 982, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.73/1.09 multiply( identity, X ) ) ] )
% 0.73/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 307, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , clause( 983, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 986, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 26, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 989, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 307, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , 0, clause( 986, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.09 , Y ) ) ] )
% 0.73/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.09 inverse( X ) ) ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 989, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 996, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.09 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.09 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1000, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 0.73/1.09 identity, Y ) ), 'least_upper_bound'( X, multiply( inverse( inverse( X )
% 0.73/1.09 ), Y ) ) ) ] )
% 0.73/1.09 , clause( 307, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , 0, clause( 996, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.09 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.09 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1008, [ =( multiply( inverse( inverse( X ) ), 'least_upper_bound'(
% 0.73/1.09 identity, Y ) ), 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, clause( 1000, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.09 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply(
% 0.73/1.09 inverse( inverse( X ) ), Y ) ) ) ] )
% 0.73/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1010, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 0.73/1.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, clause( 1008, [ =( multiply( inverse( inverse( X ) ),
% 0.73/1.09 'least_upper_bound'( identity, Y ) ), 'least_upper_bound'( X, multiply( X
% 0.73/1.09 , Y ) ) ) ] )
% 0.73/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( identity
% 0.73/1.09 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1011, [ =( multiply( X, 'positive_part'( Y ) ), 'least_upper_bound'(
% 0.73/1.09 X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 23, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, clause( 1010, [ =( multiply( X, 'least_upper_bound'( identity, Y ) ),
% 0.73/1.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1012, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 0.73/1.09 , 'positive_part'( Y ) ) ) ] )
% 0.73/1.09 , clause( 1011, [ =( multiply( X, 'positive_part'( Y ) ),
% 0.73/1.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 315, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X,
% 0.73/1.09 'positive_part'( Y ) ) ) ] )
% 0.73/1.09 , clause( 1012, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply(
% 0.73/1.09 X, 'positive_part'( Y ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1013, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1016, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , clause( 307, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.09 , 0, clause( 1013, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.73/1.09 , Y ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, identity )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , clause( 1016, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1021, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1024, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.09 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.09 , 0, clause( 1021, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.73/1.09 , Y ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.09 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 435, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.09 , clause( 1024, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1027, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.09 , clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1030, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.73/1.09 , clause( 308, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, clause( 1027, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.73/1.09 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1031, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , 0, clause( 1030, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 0.73/1.09 ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , clause( 1031, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1033, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.09 , clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1035, [ =( inverse( identity ), identity ) ] )
% 0.73/1.09 , clause( 297, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.73/1.09 , 0, clause( 1033, [ =( X, multiply( X, identity ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.73/1.09 inverse( identity ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 438, [ =( inverse( identity ), identity ) ] )
% 0.73/1.09 , clause( 1035, [ =( inverse( identity ), identity ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1038, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 0.73/1.09 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 0.73/1.09 , clause( 15, [ =( 'greatest_lower_bound'( inverse( X ), inverse( Y ) ),
% 0.73/1.09 inverse( 'least_upper_bound'( X, Y ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1041, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 0.73/1.09 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 0.73/1.09 , clause( 438, [ =( inverse( identity ), identity ) ] )
% 0.73/1.09 , 0, clause( 1038, [ =( inverse( 'least_upper_bound'( X, Y ) ),
% 0.73/1.09 'greatest_lower_bound'( inverse( X ), inverse( Y ) ) ) ] )
% 0.73/1.09 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.73/1.09 , X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1043, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 0.73/1.09 'negative_part'( inverse( X ) ) ) ] )
% 0.73/1.09 , clause( 27, [ =( 'greatest_lower_bound'( identity, X ), 'negative_part'(
% 0.73/1.09 X ) ) ] )
% 0.73/1.09 , 0, clause( 1041, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 0.73/1.09 'greatest_lower_bound'( identity, inverse( X ) ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.09 :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1044, [ =( inverse( 'positive_part'( X ) ), 'negative_part'(
% 0.73/1.09 inverse( X ) ) ) ] )
% 0.73/1.09 , clause( 23, [ =( 'least_upper_bound'( identity, X ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, clause( 1043, [ =( inverse( 'least_upper_bound'( identity, X ) ),
% 0.73/1.09 'negative_part'( inverse( X ) ) ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1045, [ =( 'negative_part'( inverse( X ) ), inverse(
% 0.73/1.09 'positive_part'( X ) ) ) ] )
% 0.73/1.09 , clause( 1044, [ =( inverse( 'positive_part'( X ) ), 'negative_part'(
% 0.73/1.09 inverse( X ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 439, [ =( 'negative_part'( inverse( X ) ), inverse( 'positive_part'(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 , clause( 1045, [ =( 'negative_part'( inverse( X ) ), inverse(
% 0.73/1.09 'positive_part'( X ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1047, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.73/1.09 Y ) ), Y ) ) ] )
% 0.73/1.09 , clause( 25, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.73/1.09 , identity ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1049, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.73/1.09 inverse( Y ) ) ) ] )
% 0.73/1.09 , clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , 0, clause( 1047, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.73/1.09 inverse( Y ) ), Y ) ) ] )
% 0.73/1.09 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, inverse( Y ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1050, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.09 , clause( 428, [ =( multiply( X, identity ), X ) ] )
% 0.73/1.09 , 0, clause( 1049, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.73/1.09 , inverse( Y ) ) ) ] )
% 0.73/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1051, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.73/1.09 , clause( 1050, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 452, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.09 , clause( 1051, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1053, [ =( inverse( 'positive_part'( X ) ), 'negative_part'(
% 0.73/1.09 inverse( X ) ) ) ] )
% 0.73/1.09 , clause( 439, [ =( 'negative_part'( inverse( X ) ), inverse(
% 0.73/1.09 'positive_part'( X ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1054, [ =( inverse( 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'negative_part'( X ) ) ] )
% 0.73/1.09 , clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , 0, clause( 1053, [ =( inverse( 'positive_part'( X ) ), 'negative_part'(
% 0.73/1.09 inverse( X ) ) ) ] )
% 0.73/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.09 X ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 464, [ =( inverse( 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'negative_part'( X ) ) ] )
% 0.73/1.09 , clause( 1054, [ =( inverse( 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'negative_part'( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1057, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.09 , clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1060, [ =( 'positive_part'( inverse( X ) ), inverse(
% 0.73/1.09 'negative_part'( X ) ) ) ] )
% 0.73/1.09 , clause( 464, [ =( inverse( 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'negative_part'( X ) ) ] )
% 0.73/1.09 , 0, clause( 1057, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.73/1.09 'positive_part'( inverse( X ) ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 473, [ =( 'positive_part'( inverse( X ) ), inverse( 'negative_part'(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 , clause( 1060, [ =( 'positive_part'( inverse( X ) ), inverse(
% 0.73/1.09 'negative_part'( X ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1063, [ =( multiply( X, 'positive_part'( Y ) ), 'least_upper_bound'(
% 0.73/1.09 X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , clause( 315, [ =( 'least_upper_bound'( X, multiply( X, Y ) ), multiply( X
% 0.73/1.09 , 'positive_part'( Y ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1066, [ =( multiply( X, 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'least_upper_bound'( X, identity ) ) ] )
% 0.73/1.09 , clause( 435, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.09 , 0, clause( 1063, [ =( multiply( X, 'positive_part'( Y ) ),
% 0.73/1.09 'least_upper_bound'( X, multiply( X, Y ) ) ) ] )
% 0.73/1.09 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, inverse( X ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1067, [ =( multiply( X, 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , clause( 16, [ =( 'least_upper_bound'( X, identity ), 'positive_part'( X )
% 0.73/1.09 ) ] )
% 0.73/1.09 , 0, clause( 1066, [ =( multiply( X, 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'least_upper_bound'( X, identity ) ) ] )
% 0.73/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1068, [ =( multiply( X, inverse( 'negative_part'( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , clause( 473, [ =( 'positive_part'( inverse( X ) ), inverse(
% 0.73/1.09 'negative_part'( X ) ) ) ] )
% 0.73/1.09 , 0, clause( 1067, [ =( multiply( X, 'positive_part'( inverse( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 786, [ =( multiply( X, inverse( 'negative_part'( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , clause( 1068, [ =( multiply( X, inverse( 'negative_part'( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1071, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.73/1.09 , clause( 452, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1073, [ =( X, multiply( 'positive_part'( X ), inverse( inverse(
% 0.73/1.09 'negative_part'( X ) ) ) ) ) ] )
% 0.73/1.09 , clause( 786, [ =( multiply( X, inverse( 'negative_part'( X ) ) ),
% 0.73/1.09 'positive_part'( X ) ) ] )
% 0.73/1.09 , 0, clause( 1071, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 0.73/1.09 )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.09 :=( Y, inverse( 'negative_part'( X ) ) )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 1074, [ =( X, multiply( 'positive_part'( X ), 'negative_part'( X )
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 436, [ =( inverse( inverse( X ) ), X ) ] )
% 0.73/1.09 , 0, clause( 1073, [ =( X, multiply( 'positive_part'( X ), inverse( inverse(
% 0.73/1.09 'negative_part'( X ) ) ) ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, 'negative_part'( X ) )] ), substitution(
% 0.73/1.09 1, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1075, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ),
% 0.73/1.09 X ) ] )
% 0.73/1.09 , clause( 1074, [ =( X, multiply( 'positive_part'( X ), 'negative_part'( X
% 0.73/1.09 ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 823, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) ), X
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 1075, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 0.73/1.09 , X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1076, [ =( X, multiply( 'positive_part'( X ), 'negative_part'( X )
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , clause( 823, [ =( multiply( 'positive_part'( X ), 'negative_part'( X ) )
% 0.73/1.09 , X ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 1077, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'( a
% 0.73/1.09 ) ) ) ) ] )
% 0.73/1.09 , clause( 20, [ ~( =( multiply( 'positive_part'( a ), 'negative_part'( a )
% 0.73/1.09 ), a ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 resolution(
% 0.73/1.09 clause( 1078, [] )
% 0.73/1.09 , clause( 1077, [ ~( =( a, multiply( 'positive_part'( a ), 'negative_part'(
% 0.73/1.09 a ) ) ) ) ] )
% 0.73/1.09 , 0, clause( 1076, [ =( X, multiply( 'positive_part'( X ), 'negative_part'(
% 0.73/1.09 X ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 831, [] )
% 0.73/1.09 , clause( 1078, [] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 end.
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 Memory use:
% 0.73/1.09
% 0.73/1.09 space for terms: 10657
% 0.73/1.09 space for clauses: 95686
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 clauses generated: 5639
% 0.73/1.09 clauses kept: 832
% 0.73/1.09 clauses selected: 129
% 0.73/1.09 clauses deleted: 9
% 0.73/1.09 clauses inuse deleted: 0
% 0.73/1.09
% 0.73/1.09 subsentry: 1395
% 0.73/1.09 literals s-matched: 870
% 0.73/1.09 literals matched: 862
% 0.73/1.09 full subsumption: 0
% 0.73/1.09
% 0.73/1.09 checksum: 1310284464
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksem ended
%------------------------------------------------------------------------------