TSTP Solution File: GRP174-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:35:47 EDT 2022
% Result : Unsatisfiable 0.91s 1.28s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jun 14 08:19:51 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.91/1.28 *** allocated 10000 integers for termspace/termends
% 0.91/1.28 *** allocated 10000 integers for clauses
% 0.91/1.28 *** allocated 10000 integers for justifications
% 0.91/1.28 Bliksem 1.12
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Automatic Strategy Selection
% 0.91/1.28
% 0.91/1.28 Clauses:
% 0.91/1.28 [
% 0.91/1.28 [ =( multiply( identity, X ), X ) ],
% 0.91/1.28 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.91/1.28 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.91/1.28 ],
% 0.91/1.28 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.91/1.28 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.91/1.28 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.91/1.28 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.91/1.28 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.91/1.28 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.91/1.28 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.91/1.28 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.91/1.28 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.91/1.28 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.91/1.28 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.91/1.28 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.91/1.28 [ =( 'greatest_lower_bound'( identity, a ), a ) ],
% 0.91/1.28 [ =( 'greatest_lower_bound'( identity, inverse( a ) ), inverse( a ) ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ ~( =( identity, a ) ) ]
% 0.91/1.28 ] .
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 percentage equality = 1.000000, percentage horn = 1.000000
% 0.91/1.28 This is a pure equality problem
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Options Used:
% 0.91/1.28
% 0.91/1.28 useres = 1
% 0.91/1.28 useparamod = 1
% 0.91/1.28 useeqrefl = 1
% 0.91/1.28 useeqfact = 1
% 0.91/1.28 usefactor = 1
% 0.91/1.28 usesimpsplitting = 0
% 0.91/1.28 usesimpdemod = 5
% 0.91/1.28 usesimpres = 3
% 0.91/1.28
% 0.91/1.28 resimpinuse = 1000
% 0.91/1.28 resimpclauses = 20000
% 0.91/1.28 substype = eqrewr
% 0.91/1.28 backwardsubs = 1
% 0.91/1.28 selectoldest = 5
% 0.91/1.28
% 0.91/1.28 litorderings [0] = split
% 0.91/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.28
% 0.91/1.28 termordering = kbo
% 0.91/1.28
% 0.91/1.28 litapriori = 0
% 0.91/1.28 termapriori = 1
% 0.91/1.28 litaposteriori = 0
% 0.91/1.28 termaposteriori = 0
% 0.91/1.28 demodaposteriori = 0
% 0.91/1.28 ordereqreflfact = 0
% 0.91/1.28
% 0.91/1.28 litselect = negord
% 0.91/1.28
% 0.91/1.28 maxweight = 15
% 0.91/1.28 maxdepth = 30000
% 0.91/1.28 maxlength = 115
% 0.91/1.28 maxnrvars = 195
% 0.91/1.28 excuselevel = 1
% 0.91/1.28 increasemaxweight = 1
% 0.91/1.28
% 0.91/1.28 maxselected = 10000000
% 0.91/1.28 maxnrclauses = 10000000
% 0.91/1.28
% 0.91/1.28 showgenerated = 0
% 0.91/1.28 showkept = 0
% 0.91/1.28 showselected = 0
% 0.91/1.28 showdeleted = 0
% 0.91/1.28 showresimp = 1
% 0.91/1.28 showstatus = 2000
% 0.91/1.28
% 0.91/1.28 prologoutput = 1
% 0.91/1.28 nrgoals = 5000000
% 0.91/1.28 totalproof = 1
% 0.91/1.28
% 0.91/1.28 Symbols occurring in the translation:
% 0.91/1.28
% 0.91/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.28 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.91/1.28 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.91/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.28 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.91/1.28 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.91/1.28 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.91/1.28 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.91/1.28 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.91/1.28 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Starting Search:
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Bliksems!, er is een bewijs:
% 0.91/1.28 % SZS status Unsatisfiable
% 0.91/1.28 % SZS output start Refutation
% 0.91/1.28
% 0.91/1.28 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.91/1.28 , Z ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.91/1.28 X ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.91/1.28 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.91/1.28 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 15, [ =( 'greatest_lower_bound'( identity, a ), a ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 16, [ =( 'greatest_lower_bound'( identity, inverse( a ) ), inverse(
% 0.91/1.28 a ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 17, [ ~( =( a, identity ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 18, [ =( 'greatest_lower_bound'( a, identity ), a ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 21, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.91/1.28 , identity ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 22, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.91/1.28 identity ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 23, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.91/1.28 ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 65, [ =( 'greatest_lower_bound'( inverse( a ), identity ), inverse(
% 0.91/1.28 a ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 122, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.91/1.28 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 156, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 316, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 317, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 320, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 330, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 0.91/1.28 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 333, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 339, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.91/1.28 ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 556, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 572, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.91/1.28 .
% 0.91/1.28 clause( 584, [] )
% 0.91/1.28 .
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 % SZS output end Refutation
% 0.91/1.28 found a proof!
% 0.91/1.28
% 0.91/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.91/1.28
% 0.91/1.28 initialclauses(
% 0.91/1.28 [ clause( 586, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , clause( 587, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , clause( 588, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.91/1.28 Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 589, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.91/1.28 Y, X ) ) ] )
% 0.91/1.28 , clause( 590, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , clause( 591, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.91/1.28 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , clause( 592, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.91/1.28 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , clause( 593, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.91/1.28 , clause( 594, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.91/1.28 , clause( 595, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.91/1.28 ), X ) ] )
% 0.91/1.28 , clause( 596, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.91/1.28 ), X ) ] )
% 0.91/1.28 , clause( 597, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.91/1.28 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.91/1.28 , clause( 598, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.91/1.28 , clause( 599, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.91/1.28 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 600, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 601, [ =( 'greatest_lower_bound'( identity, a ), a ) ] )
% 0.91/1.28 , clause( 602, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.91/1.28 inverse( a ) ) ] )
% 0.91/1.28 , clause( 603, [ ~( =( identity, a ) ) ] )
% 0.91/1.28 ] ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , clause( 586, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , clause( 587, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 609, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.91/1.28 ), Z ) ) ] )
% 0.91/1.28 , clause( 588, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.91/1.28 Y, Z ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.91/1.28 , Z ) ) ] )
% 0.91/1.28 , clause( 609, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.91/1.28 , Y ), Z ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.91/1.28 X ) ) ] )
% 0.91/1.28 , clause( 589, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.91/1.28 Y, X ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 623, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.91/1.28 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 598, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.91/1.28 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 623, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 0.91/1.28 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 636, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.91/1.28 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , clause( 600, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.91/1.28 ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , clause( 636, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y,
% 0.91/1.28 Z ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 15, [ =( 'greatest_lower_bound'( identity, a ), a ) ] )
% 0.91/1.28 , clause( 601, [ =( 'greatest_lower_bound'( identity, a ), a ) ] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 16, [ =( 'greatest_lower_bound'( identity, inverse( a ) ), inverse(
% 0.91/1.28 a ) ) ] )
% 0.91/1.28 , clause( 602, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.91/1.28 inverse( a ) ) ] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 681, [ ~( =( a, identity ) ) ] )
% 0.91/1.28 , clause( 603, [ ~( =( identity, a ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 17, [ ~( =( a, identity ) ) ] )
% 0.91/1.28 , clause( 681, [ ~( =( a, identity ) ) ] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 682, [ =( a, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.91/1.28 , clause( 15, [ =( 'greatest_lower_bound'( identity, a ), a ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 683, [ =( a, 'greatest_lower_bound'( a, identity ) ) ] )
% 0.91/1.28 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.91/1.28 , X ) ) ] )
% 0.91/1.28 , 0, clause( 682, [ =( a, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.91/1.28 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, a )] ), substitution(
% 0.91/1.28 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 686, [ =( 'greatest_lower_bound'( a, identity ), a ) ] )
% 0.91/1.28 , clause( 683, [ =( a, 'greatest_lower_bound'( a, identity ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 18, [ =( 'greatest_lower_bound'( a, identity ), a ) ] )
% 0.91/1.28 , clause( 686, [ =( 'greatest_lower_bound'( a, identity ), a ) ] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 687, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.91/1.28 , Z ) ) ) ] )
% 0.91/1.28 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.91/1.28 ), Z ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 690, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.91/1.28 , identity ) ] )
% 0.91/1.28 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , 0, clause( 687, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.91/1.28 multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.91/1.28 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 21, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.91/1.28 , identity ) ] )
% 0.91/1.28 , clause( 690, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.91/1.28 ), identity ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 696, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.91/1.28 , Z ) ) ) ] )
% 0.91/1.28 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.91/1.28 ), Z ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 701, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.91/1.28 identity ) ) ] )
% 0.91/1.28 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , 0, clause( 696, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.91/1.28 multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 22, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.91/1.28 identity ) ) ] )
% 0.91/1.28 , clause( 701, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.91/1.28 , identity ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 706, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.91/1.28 , Z ) ) ) ] )
% 0.91/1.28 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.91/1.28 ), Z ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 711, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , 0, clause( 706, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.91/1.28 multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, identity ), :=( Z, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 23, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.91/1.28 ] )
% 0.91/1.28 , clause( 711, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 716, [ =( inverse( a ), 'greatest_lower_bound'( identity, inverse(
% 0.91/1.28 a ) ) ) ] )
% 0.91/1.28 , clause( 16, [ =( 'greatest_lower_bound'( identity, inverse( a ) ),
% 0.91/1.28 inverse( a ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 717, [ =( inverse( a ), 'greatest_lower_bound'( inverse( a ),
% 0.91/1.28 identity ) ) ] )
% 0.91/1.28 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.91/1.28 , X ) ) ] )
% 0.91/1.28 , 0, clause( 716, [ =( inverse( a ), 'greatest_lower_bound'( identity,
% 0.91/1.28 inverse( a ) ) ) ] )
% 0.91/1.28 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, inverse( a ) )] ),
% 0.91/1.28 substitution( 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 720, [ =( 'greatest_lower_bound'( inverse( a ), identity ), inverse(
% 0.91/1.28 a ) ) ] )
% 0.91/1.28 , clause( 717, [ =( inverse( a ), 'greatest_lower_bound'( inverse( a ),
% 0.91/1.28 identity ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 65, [ =( 'greatest_lower_bound'( inverse( a ), identity ), inverse(
% 0.91/1.28 a ) ) ] )
% 0.91/1.28 , clause( 720, [ =( 'greatest_lower_bound'( inverse( a ), identity ),
% 0.91/1.28 inverse( a ) ) ] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 721, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.91/1.28 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.91/1.28 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 723, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.91/1.28 , X ) ) ] )
% 0.91/1.28 , 0, clause( 721, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.91/1.28 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.28 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 725, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 0.91/1.28 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 0.91/1.28 , clause( 14, [ =( 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z
% 0.91/1.28 ) ), multiply( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.91/1.28 , 0, clause( 723, [ =( multiply( 'greatest_lower_bound'( Y, X ), Z ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.91/1.28 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 122, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.91/1.28 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.91/1.28 , clause( 725, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), multiply(
% 0.91/1.28 'greatest_lower_bound'( Y, X ), Z ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 727, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.91/1.28 Y ) ), Y ) ) ] )
% 0.91/1.28 , clause( 22, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.91/1.28 , identity ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 730, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.91/1.28 identity, X ) ) ] )
% 0.91/1.28 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , 0, clause( 727, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.91/1.28 inverse( Y ) ), Y ) ) ] )
% 0.91/1.28 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.91/1.28 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 731, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , 0, clause( 730, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.91/1.28 multiply( identity, X ) ) ] )
% 0.91/1.28 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.28 ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 156, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 , clause( 731, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 734, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 23, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.91/1.28 ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 737, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 156, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 , 0, clause( 734, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.91/1.28 , Y ) ) ] )
% 0.91/1.28 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.91/1.28 inverse( X ) ) ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 737, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 743, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 746, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , clause( 156, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.91/1.28 , 0, clause( 743, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.91/1.28 , Y ) ) ] )
% 0.91/1.28 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, identity )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , clause( 746, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 751, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 754, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.91/1.28 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , 0, clause( 751, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.91/1.28 , Y ) ) ] )
% 0.91/1.28 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.91/1.28 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 316, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.91/1.28 , clause( 754, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 757, [ =( X, multiply( X, identity ) ) ] )
% 0.91/1.28 , clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 760, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.91/1.28 , clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, clause( 757, [ =( X, multiply( X, identity ) ) ] )
% 0.91/1.28 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.91/1.28 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 761, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.28 , clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , 0, clause( 760, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.91/1.28 )
% 0.91/1.28 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.28 ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 317, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.28 , clause( 761, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 764, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.91/1.28 Y ) ), Y ) ) ] )
% 0.91/1.28 , clause( 22, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.91/1.28 , identity ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 766, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.91/1.28 inverse( Y ) ) ) ] )
% 0.91/1.28 , clause( 317, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.28 , 0, clause( 764, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.91/1.28 inverse( Y ) ), Y ) ) ] )
% 0.91/1.28 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, inverse( Y ) )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 767, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.91/1.28 , clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , 0, clause( 766, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.91/1.28 , inverse( Y ) ) ) ] )
% 0.91/1.28 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 768, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.91/1.28 , clause( 767, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 320, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.91/1.28 , clause( 768, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 770, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.91/1.28 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.91/1.28 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 772, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 0.91/1.28 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 0.91/1.28 , clause( 316, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.91/1.28 , 0, clause( 770, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.91/1.28 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.91/1.28 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.28 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 330, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) ) )
% 0.91/1.28 , 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 0.91/1.28 , clause( 772, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 0.91/1.28 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 776, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.91/1.28 , clause( 320, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 781, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.91/1.28 identity, inverse( Y ) ) ) ] )
% 0.91/1.28 , clause( 21, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.91/1.28 ), identity ) ] )
% 0.91/1.28 , 0, clause( 776, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.91/1.28 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.28 :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 782, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.91/1.28 , 0, clause( 781, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply(
% 0.91/1.28 identity, inverse( Y ) ) ) ] )
% 0.91/1.28 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.91/1.28 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 333, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 782, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 784, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) ), X )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 333, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 788, [ =( inverse( X ), multiply( inverse( inverse( Y ) ), inverse(
% 0.91/1.28 multiply( X, Y ) ) ) ) ] )
% 0.91/1.28 , clause( 333, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, clause( 784, [ =( inverse( Y ), multiply( inverse( multiply( X, Y ) )
% 0.91/1.28 , X ) ) ] )
% 0.91/1.28 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.28 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 789, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, clause( 788, [ =( inverse( X ), multiply( inverse( inverse( Y ) ),
% 0.91/1.28 inverse( multiply( X, Y ) ) ) ) ] )
% 0.91/1.28 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( X, Y ) ) )] )
% 0.91/1.28 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 790, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 789, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) )
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 339, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 790, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 791, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X ) ) )
% 0.91/1.28 ) ] )
% 0.91/1.28 , clause( 339, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 794, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply( Z,
% 0.91/1.28 inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 0.91/1.28 , clause( 122, [ =( multiply( 'greatest_lower_bound'( X, Z ), Y ), multiply(
% 0.91/1.28 'greatest_lower_bound'( Z, X ), Y ) ) ] )
% 0.91/1.28 , 0, clause( 791, [ =( inverse( Y ), multiply( X, inverse( multiply( Y, X )
% 0.91/1.28 ) ) ) ] )
% 0.91/1.28 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.28 substitution( 1, [ :=( X, Z ), :=( Y, 'greatest_lower_bound'( X, Y ) )] )
% 0.91/1.28 ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 797, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 0.91/1.28 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.91/1.28 , clause( 339, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, clause( 794, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), multiply(
% 0.91/1.28 Z, inverse( multiply( 'greatest_lower_bound'( Y, X ), Z ) ) ) ) ] )
% 0.91/1.28 , 0, 5, substitution( 0, [ :=( X, 'greatest_lower_bound'( Y, X ) ), :=( Y,
% 0.91/1.28 Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 556, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.91/1.28 , clause( 797, [ =( inverse( 'greatest_lower_bound'( X, Y ) ), inverse(
% 0.91/1.28 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 798, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.91/1.28 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 799, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y, X
% 0.91/1.28 ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.91/1.28 , clause( 556, [ =( inverse( 'greatest_lower_bound'( Y, X ) ), inverse(
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.91/1.28 , 0, clause( 798, [ =( identity, multiply( inverse( X ), X ) ) ] )
% 0.91/1.28 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.28 :=( X, 'greatest_lower_bound'( X, Y ) )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 802, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 0.91/1.28 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 0.91/1.28 , clause( 799, [ =( identity, multiply( inverse( 'greatest_lower_bound'( Y
% 0.91/1.28 , X ) ), 'greatest_lower_bound'( X, Y ) ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 572, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.91/1.28 , clause( 802, [ =( multiply( inverse( 'greatest_lower_bound'( X, Y ) ),
% 0.91/1.28 'greatest_lower_bound'( Y, X ) ), identity ) ] )
% 0.91/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.28 )] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 804, [ =( identity, multiply( inverse( 'greatest_lower_bound'( X, Y
% 0.91/1.28 ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.91/1.28 , clause( 572, [ =( multiply( inverse( 'greatest_lower_bound'( Y, X ) ),
% 0.91/1.28 'greatest_lower_bound'( X, Y ) ), identity ) ] )
% 0.91/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 eqswap(
% 0.91/1.28 clause( 809, [ ~( =( identity, a ) ) ] )
% 0.91/1.28 , clause( 17, [ ~( =( a, identity ) ) ] )
% 0.91/1.28 , 0, substitution( 0, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 810, [ =( identity, multiply( inverse( inverse( a ) ),
% 0.91/1.28 'greatest_lower_bound'( identity, inverse( a ) ) ) ) ] )
% 0.91/1.28 , clause( 65, [ =( 'greatest_lower_bound'( inverse( a ), identity ),
% 0.91/1.28 inverse( a ) ) ] )
% 0.91/1.28 , 0, clause( 804, [ =( identity, multiply( inverse( 'greatest_lower_bound'(
% 0.91/1.28 X, Y ) ), 'greatest_lower_bound'( Y, X ) ) ) ] )
% 0.91/1.28 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 0.91/1.28 :=( Y, identity )] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 812, [ =( identity, multiply( a, 'greatest_lower_bound'( identity,
% 0.91/1.28 inverse( a ) ) ) ) ] )
% 0.91/1.28 , clause( 161, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.91/1.28 ) ) ] )
% 0.91/1.28 , 0, clause( 810, [ =( identity, multiply( inverse( inverse( a ) ),
% 0.91/1.28 'greatest_lower_bound'( identity, inverse( a ) ) ) ) ] )
% 0.91/1.28 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, 'greatest_lower_bound'(
% 0.91/1.28 identity, inverse( a ) ) )] ), substitution( 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 813, [ =( identity, 'greatest_lower_bound'( multiply( a, identity )
% 0.91/1.28 , identity ) ) ] )
% 0.91/1.28 , clause( 330, [ =( multiply( X, 'greatest_lower_bound'( Y, inverse( X ) )
% 0.91/1.28 ), 'greatest_lower_bound'( multiply( X, Y ), identity ) ) ] )
% 0.91/1.28 , 0, clause( 812, [ =( identity, multiply( a, 'greatest_lower_bound'(
% 0.91/1.28 identity, inverse( a ) ) ) ) ] )
% 0.91/1.28 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 0.91/1.28 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 814, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ] )
% 0.91/1.28 , clause( 309, [ =( multiply( X, identity ), X ) ] )
% 0.91/1.28 , 0, clause( 813, [ =( identity, 'greatest_lower_bound'( multiply( a,
% 0.91/1.28 identity ), identity ) ) ] )
% 0.91/1.28 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 paramod(
% 0.91/1.28 clause( 815, [ =( identity, a ) ] )
% 0.91/1.28 , clause( 18, [ =( 'greatest_lower_bound'( a, identity ), a ) ] )
% 0.91/1.28 , 0, clause( 814, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ]
% 0.91/1.28 )
% 0.91/1.28 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 resolution(
% 0.91/1.28 clause( 816, [] )
% 0.91/1.28 , clause( 809, [ ~( =( identity, a ) ) ] )
% 0.91/1.28 , 0, clause( 815, [ =( identity, a ) ] )
% 0.91/1.28 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 subsumption(
% 0.91/1.28 clause( 584, [] )
% 0.91/1.28 , clause( 816, [] )
% 0.91/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 end.
% 0.91/1.28
% 0.91/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.91/1.28
% 0.91/1.28 Memory use:
% 0.91/1.28
% 0.91/1.28 space for terms: 7660
% 0.91/1.28 space for clauses: 63802
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 clauses generated: 7438
% 0.91/1.28 clauses kept: 585
% 0.91/1.28 clauses selected: 123
% 0.91/1.28 clauses deleted: 4
% 0.91/1.28 clauses inuse deleted: 0
% 0.91/1.28
% 0.91/1.28 subsentry: 1837
% 0.91/1.28 literals s-matched: 1327
% 0.91/1.28 literals matched: 1307
% 0.91/1.28 full subsumption: 0
% 0.91/1.28
% 0.91/1.28 checksum: -442052084
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Bliksem ended
%------------------------------------------------------------------------------