TSTP Solution File: GRP186-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP186-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:36:00 EDT 2022
% Result : Unsatisfiable 0.73s 1.11s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP186-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 04:02:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.11 *** allocated 10000 integers for termspace/termends
% 0.73/1.11 *** allocated 10000 integers for clauses
% 0.73/1.11 *** allocated 10000 integers for justifications
% 0.73/1.11 Bliksem 1.12
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Automatic Strategy Selection
% 0.73/1.11
% 0.73/1.11 Clauses:
% 0.73/1.11 [
% 0.73/1.11 [ =( multiply( identity, X ), X ) ],
% 0.73/1.11 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.73/1.11 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.73/1.11 ],
% 0.73/1.11 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.73/1.11 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.11 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.73/1.11 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.73/1.11 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.73/1.11 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.73/1.11 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.73/1.11 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.11 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.11 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.73/1.11 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.73/1.11 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.11 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.11 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.73/1.11 [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ), multiply( a,
% 0.73/1.11 'least_upper_bound'( inverse( a ), b ) ) ) ) ]
% 0.73/1.11 ] .
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.11 This is a pure equality problem
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Options Used:
% 0.73/1.11
% 0.73/1.11 useres = 1
% 0.73/1.11 useparamod = 1
% 0.73/1.11 useeqrefl = 1
% 0.73/1.11 useeqfact = 1
% 0.73/1.11 usefactor = 1
% 0.73/1.11 usesimpsplitting = 0
% 0.73/1.11 usesimpdemod = 5
% 0.73/1.11 usesimpres = 3
% 0.73/1.11
% 0.73/1.11 resimpinuse = 1000
% 0.73/1.11 resimpclauses = 20000
% 0.73/1.11 substype = eqrewr
% 0.73/1.11 backwardsubs = 1
% 0.73/1.11 selectoldest = 5
% 0.73/1.11
% 0.73/1.11 litorderings [0] = split
% 0.73/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.11
% 0.73/1.11 termordering = kbo
% 0.73/1.11
% 0.73/1.11 litapriori = 0
% 0.73/1.11 termapriori = 1
% 0.73/1.11 litaposteriori = 0
% 0.73/1.11 termaposteriori = 0
% 0.73/1.11 demodaposteriori = 0
% 0.73/1.11 ordereqreflfact = 0
% 0.73/1.11
% 0.73/1.11 litselect = negord
% 0.73/1.11
% 0.73/1.11 maxweight = 15
% 0.73/1.11 maxdepth = 30000
% 0.73/1.11 maxlength = 115
% 0.73/1.11 maxnrvars = 195
% 0.73/1.11 excuselevel = 1
% 0.73/1.11 increasemaxweight = 1
% 0.73/1.11
% 0.73/1.11 maxselected = 10000000
% 0.73/1.11 maxnrclauses = 10000000
% 0.73/1.11
% 0.73/1.11 showgenerated = 0
% 0.73/1.11 showkept = 0
% 0.73/1.11 showselected = 0
% 0.73/1.11 showdeleted = 0
% 0.73/1.11 showresimp = 1
% 0.73/1.11 showstatus = 2000
% 0.73/1.11
% 0.73/1.11 prologoutput = 1
% 0.73/1.11 nrgoals = 5000000
% 0.73/1.11 totalproof = 1
% 0.73/1.11
% 0.73/1.11 Symbols occurring in the translation:
% 0.73/1.11
% 0.73/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.11 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.11 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.73/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.11 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.11 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.11 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.11 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.11 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.11 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.11 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Starting Search:
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Bliksems!, er is een bewijs:
% 0.73/1.11 % SZS status Unsatisfiable
% 0.73/1.11 % SZS output start Refutation
% 0.73/1.11
% 0.73/1.11 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.11 , Z ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.11 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 15, [ ~( =( multiply( a, 'least_upper_bound'( inverse( a ), b ) ),
% 0.73/1.11 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.11 identity ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 0.73/1.11 'least_upper_bound'( Z, Y ) ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.73/1.11 .
% 0.73/1.11 clause( 403, [] )
% 0.73/1.11 .
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 % SZS output end Refutation
% 0.73/1.11 found a proof!
% 0.73/1.11
% 0.73/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.11
% 0.73/1.11 initialclauses(
% 0.73/1.11 [ clause( 405, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 , clause( 406, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , clause( 407, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.11 Y, Z ) ) ) ] )
% 0.73/1.11 , clause( 408, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.73/1.11 Y, X ) ) ] )
% 0.73/1.11 , clause( 409, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , clause( 410, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.73/1.11 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.73/1.11 , clause( 411, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.73/1.11 , clause( 412, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.73/1.11 , clause( 413, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.73/1.11 , clause( 414, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.73/1.11 ), X ) ] )
% 0.73/1.11 , clause( 415, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.73/1.11 ), X ) ] )
% 0.73/1.11 , clause( 416, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , clause( 417, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.73/1.11 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , clause( 418, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.11 , clause( 419, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.73/1.11 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.73/1.11 , clause( 420, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 multiply( a, 'least_upper_bound'( inverse( a ), b ) ) ) ) ] )
% 0.73/1.11 ] ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 , clause( 405, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , clause( 406, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 426, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.11 ), Z ) ) ] )
% 0.73/1.11 , clause( 407, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.73/1.11 Y, Z ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.73/1.11 , Z ) ) ] )
% 0.73/1.11 , clause( 426, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.73/1.11 , Y ), Z ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 , clause( 409, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 439, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.11 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , clause( 416, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.73/1.11 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , clause( 439, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.11 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 453, [ ~( =( multiply( a, 'least_upper_bound'( inverse( a ), b ) )
% 0.73/1.11 , 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , clause( 420, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 multiply( a, 'least_upper_bound'( inverse( a ), b ) ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 15, [ ~( =( multiply( a, 'least_upper_bound'( inverse( a ), b ) ),
% 0.73/1.11 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , clause( 453, [ ~( =( multiply( a, 'least_upper_bound'( inverse( a ), b )
% 0.73/1.11 ), 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 455, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.73/1.11 , Z ) ) ) ] )
% 0.73/1.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.11 ), Z ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 460, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.73/1.11 identity ) ) ] )
% 0.73/1.11 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , 0, clause( 455, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.11 multiply( Y, Z ) ) ) ] )
% 0.73/1.11 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.11 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.73/1.11 identity ) ) ] )
% 0.73/1.11 , clause( 460, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.73/1.11 , identity ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 465, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.73/1.11 , Z ) ) ) ] )
% 0.73/1.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.73/1.11 ), Z ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 470, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 , 0, clause( 465, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.73/1.11 multiply( Y, Z ) ) ) ] )
% 0.73/1.11 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.11 :=( Y, identity ), :=( Z, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.73/1.11 ] )
% 0.73/1.11 , clause( 470, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 475, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.11 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 477, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.73/1.11 ) ] )
% 0.73/1.11 , 0, clause( 475, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.73/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 479, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 0.73/1.11 'least_upper_bound'( Z, Y ) ) ) ] )
% 0.73/1.11 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.11 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , 0, clause( 477, [ =( multiply( X, 'least_upper_bound'( Z, Y ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.73/1.11 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X,
% 0.73/1.11 'least_upper_bound'( Z, Y ) ) ) ] )
% 0.73/1.11 , clause( 479, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 0.73/1.11 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 481, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.73/1.11 Y ) ), Y ) ) ] )
% 0.73/1.11 , clause( 17, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.73/1.11 , identity ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 484, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.73/1.11 identity, X ) ) ] )
% 0.73/1.11 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , 0, clause( 481, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.73/1.11 inverse( Y ) ), Y ) ) ] )
% 0.73/1.11 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.11 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 485, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.11 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.73/1.11 , 0, clause( 484, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.73/1.11 multiply( identity, X ) ) ] )
% 0.73/1.11 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.11 ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.11 , clause( 485, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 488, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 , clause( 18, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.73/1.11 ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 491, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 , clause( 163, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.73/1.11 , 0, clause( 488, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.73/1.11 , Y ) ) ] )
% 0.73/1.11 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.73/1.11 inverse( X ) ) ), :=( Y, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 , clause( 491, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 497, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.73/1.11 ) ] )
% 0.73/1.11 , clause( 170, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.73/1.11 ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 500, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.73/1.11 , 0, clause( 497, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.73/1.11 , Y ) ) ] )
% 0.73/1.11 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.73/1.11 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , clause( 500, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 504, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.73/1.11 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 506, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.73/1.11 , clause( 180, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.73/1.11 , 0, clause( 504, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.73/1.11 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.73/1.11 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.73/1.11 , clause( 506, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.73/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.11 )] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqswap(
% 0.73/1.11 clause( 509, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 multiply( a, 'least_upper_bound'( inverse( a ), b ) ) ) ) ] )
% 0.73/1.11 , clause( 15, [ ~( =( multiply( a, 'least_upper_bound'( inverse( a ), b ) )
% 0.73/1.11 , 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 511, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 multiply( a, 'least_upper_bound'( b, inverse( a ) ) ) ) ) ] )
% 0.73/1.11 , clause( 64, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), multiply( X
% 0.73/1.11 , 'least_upper_bound'( Z, Y ) ) ) ] )
% 0.73/1.11 , 0, clause( 509, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 0.73/1.11 , multiply( a, 'least_upper_bound'( inverse( a ), b ) ) ) ) ] )
% 0.73/1.11 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, inverse( a ) ), :=( Z, b )] )
% 0.73/1.11 , substitution( 1, [] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 paramod(
% 0.73/1.11 clause( 513, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , clause( 192, [ =( multiply( X, 'least_upper_bound'( Y, inverse( X ) ) ),
% 0.73/1.11 'least_upper_bound'( multiply( X, Y ), identity ) ) ] )
% 0.73/1.11 , 0, clause( 511, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity )
% 0.73/1.11 , multiply( a, 'least_upper_bound'( b, inverse( a ) ) ) ) ) ] )
% 0.73/1.11 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.73/1.11 ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 eqrefl(
% 0.73/1.11 clause( 514, [] )
% 0.73/1.11 , clause( 513, [ ~( =( 'least_upper_bound'( multiply( a, b ), identity ),
% 0.73/1.11 'least_upper_bound'( multiply( a, b ), identity ) ) ) ] )
% 0.73/1.11 , 0, substitution( 0, [] )).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 subsumption(
% 0.73/1.11 clause( 403, [] )
% 0.73/1.11 , clause( 514, [] )
% 0.73/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 end.
% 0.73/1.11
% 0.73/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.11
% 0.73/1.11 Memory use:
% 0.73/1.11
% 0.73/1.11 space for terms: 5586
% 0.73/1.11 space for clauses: 44728
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 clauses generated: 3646
% 0.73/1.11 clauses kept: 404
% 0.73/1.11 clauses selected: 76
% 0.73/1.11 clauses deleted: 1
% 0.73/1.11 clauses inuse deleted: 0
% 0.73/1.11
% 0.73/1.11 subsentry: 1115
% 0.73/1.11 literals s-matched: 873
% 0.73/1.11 literals matched: 862
% 0.73/1.11 full subsumption: 0
% 0.73/1.11
% 0.73/1.11 checksum: 1688582954
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Bliksem ended
%------------------------------------------------------------------------------