TSTP Solution File: GRP165-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP165-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:35:40 EDT 2022
% Result : Unsatisfiable 0.77s 1.18s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP165-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 05:05:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.77/1.18 *** allocated 10000 integers for termspace/termends
% 0.77/1.18 *** allocated 10000 integers for clauses
% 0.77/1.18 *** allocated 10000 integers for justifications
% 0.77/1.18 Bliksem 1.12
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Automatic Strategy Selection
% 0.77/1.18
% 0.77/1.18 Clauses:
% 0.77/1.18 [
% 0.77/1.18 [ =( multiply( identity, X ), X ) ],
% 0.77/1.18 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.77/1.18 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.77/1.18 ],
% 0.77/1.18 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.77/1.18 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.77/1.18 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.77/1.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.77/1.18 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.77/1.18 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.77/1.18 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.77/1.18 ,
% 0.77/1.18 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.77/1.18 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.77/1.18 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.77/1.18 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.77/1.18 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.77/1.18 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.77/1.18 [ =( 'greatest_lower_bound'( a, identity ), identity ) ],
% 0.77/1.18 [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) ) ]
% 0.77/1.18 ] .
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 percentage equality = 1.000000, percentage horn = 1.000000
% 0.77/1.18 This is a pure equality problem
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Options Used:
% 0.77/1.18
% 0.77/1.18 useres = 1
% 0.77/1.18 useparamod = 1
% 0.77/1.18 useeqrefl = 1
% 0.77/1.18 useeqfact = 1
% 0.77/1.18 usefactor = 1
% 0.77/1.18 usesimpsplitting = 0
% 0.77/1.18 usesimpdemod = 5
% 0.77/1.18 usesimpres = 3
% 0.77/1.18
% 0.77/1.18 resimpinuse = 1000
% 0.77/1.18 resimpclauses = 20000
% 0.77/1.18 substype = eqrewr
% 0.77/1.18 backwardsubs = 1
% 0.77/1.18 selectoldest = 5
% 0.77/1.18
% 0.77/1.18 litorderings [0] = split
% 0.77/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.18
% 0.77/1.18 termordering = kbo
% 0.77/1.18
% 0.77/1.18 litapriori = 0
% 0.77/1.18 termapriori = 1
% 0.77/1.18 litaposteriori = 0
% 0.77/1.18 termaposteriori = 0
% 0.77/1.18 demodaposteriori = 0
% 0.77/1.18 ordereqreflfact = 0
% 0.77/1.18
% 0.77/1.18 litselect = negord
% 0.77/1.18
% 0.77/1.18 maxweight = 15
% 0.77/1.18 maxdepth = 30000
% 0.77/1.18 maxlength = 115
% 0.77/1.18 maxnrvars = 195
% 0.77/1.18 excuselevel = 1
% 0.77/1.18 increasemaxweight = 1
% 0.77/1.18
% 0.77/1.18 maxselected = 10000000
% 0.77/1.18 maxnrclauses = 10000000
% 0.77/1.18
% 0.77/1.18 showgenerated = 0
% 0.77/1.18 showkept = 0
% 0.77/1.18 showselected = 0
% 0.77/1.18 showdeleted = 0
% 0.77/1.18 showresimp = 1
% 0.77/1.18 showstatus = 2000
% 0.77/1.18
% 0.77/1.18 prologoutput = 1
% 0.77/1.18 nrgoals = 5000000
% 0.77/1.18 totalproof = 1
% 0.77/1.18
% 0.77/1.18 Symbols occurring in the translation:
% 0.77/1.18
% 0.77/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.18 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.77/1.18 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.77/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.18 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.77/1.18 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.77/1.18 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.77/1.18 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.77/1.18 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.18 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Starting Search:
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Bliksems!, er is een bewijs:
% 0.77/1.18 % SZS status Unsatisfiable
% 0.77/1.18 % SZS output start Refutation
% 0.77/1.18
% 0.77/1.18 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.77/1.18 , Z ) ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.77/1.18 X ) ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.77/1.18 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 15, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 16, [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) ) ]
% 0.77/1.18 )
% 0.77/1.18 .
% 0.77/1.18 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.77/1.18 identity ) ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.77/1.18 ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 20, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 147, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.77/1.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.77/1.18 .
% 0.77/1.18 clause( 801, [] )
% 0.77/1.18 .
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 % SZS output end Refutation
% 0.77/1.18 found a proof!
% 0.77/1.18
% 0.77/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.18
% 0.77/1.18 initialclauses(
% 0.77/1.18 [ clause( 803, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 , clause( 804, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 , clause( 805, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.77/1.18 Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 806, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.77/1.18 Y, X ) ) ] )
% 0.77/1.18 , clause( 807, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , clause( 808, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z
% 0.77/1.18 ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.77/1.18 , clause( 809, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.77/1.18 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.77/1.18 , clause( 810, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.77/1.18 , clause( 811, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.77/1.18 , clause( 812, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.77/1.18 ), X ) ] )
% 0.77/1.18 , clause( 813, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.77/1.18 ), X ) ] )
% 0.77/1.18 , clause( 814, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.77/1.18 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.77/1.18 , clause( 815, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.77/1.18 , clause( 816, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.77/1.18 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 817, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 818, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 0.77/1.18 , clause( 819, [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) )
% 0.77/1.18 ] )
% 0.77/1.18 ] ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 , clause( 803, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 , clause( 804, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 825, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.77/1.18 ), Z ) ) ] )
% 0.77/1.18 , clause( 805, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.77/1.18 Y, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.77/1.18 , Z ) ) ] )
% 0.77/1.18 , clause( 825, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.77/1.18 , Y ), Z ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.77/1.18 X ) ) ] )
% 0.77/1.18 , clause( 806, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.77/1.18 Y, X ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 839, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.77/1.18 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 815, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.77/1.18 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.77/1.18 , clause( 839, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X,
% 0.77/1.18 Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 15, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 0.77/1.18 , clause( 818, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 16, [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 819, [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) )
% 0.77/1.18 ] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 870, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.77/1.18 , Z ) ) ) ] )
% 0.77/1.18 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.77/1.18 ), Z ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 875, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X,
% 0.77/1.18 identity ) ) ] )
% 0.77/1.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 , 0, clause( 870, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.77/1.18 multiply( Y, Z ) ) ) ] )
% 0.77/1.18 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.77/1.18 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.77/1.18 identity ) ) ] )
% 0.77/1.18 , clause( 875, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.77/1.18 , identity ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 880, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.77/1.18 , Z ) ) ) ] )
% 0.77/1.18 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.77/1.18 ), Z ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 885, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 , 0, clause( 880, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.77/1.18 multiply( Y, Z ) ) ) ] )
% 0.77/1.18 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.77/1.18 :=( Y, identity ), :=( Z, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.77/1.18 ] )
% 0.77/1.18 , clause( 885, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 890, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ] )
% 0.77/1.18 , clause( 15, [ =( 'greatest_lower_bound'( a, identity ), identity ) ] )
% 0.77/1.18 , 0, substitution( 0, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 891, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.77/1.18 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.77/1.18 , X ) ) ] )
% 0.77/1.18 , 0, clause( 890, [ =( identity, 'greatest_lower_bound'( a, identity ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 0.77/1.18 1, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 894, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.77/1.18 , clause( 891, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 20, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.77/1.18 , clause( 894, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 896, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.77/1.18 Y ) ), Y ) ) ] )
% 0.77/1.18 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.77/1.18 , identity ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 899, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.77/1.18 identity, X ) ) ] )
% 0.77/1.18 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.77/1.18 , 0, clause( 896, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.77/1.18 inverse( Y ) ), Y ) ) ] )
% 0.77/1.18 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.77/1.18 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 900, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.77/1.18 , 0, clause( 899, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.77/1.18 multiply( identity, X ) ) ] )
% 0.77/1.18 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , clause( 900, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 903, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.77/1.18 ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 906, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , 0, clause( 903, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.77/1.18 , Y ) ) ] )
% 0.77/1.18 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.77/1.18 inverse( X ) ) ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 906, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 913, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.77/1.18 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.77/1.18 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 916, [ =( multiply( inverse( inverse( X ) ), 'greatest_lower_bound'(
% 0.77/1.18 identity, Y ) ), 'greatest_lower_bound'( X, multiply( inverse( inverse( X
% 0.77/1.18 ) ), Y ) ) ) ] )
% 0.77/1.18 , clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , 0, clause( 913, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.77/1.18 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.77/1.18 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.77/1.18 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 926, [ =( multiply( inverse( inverse( X ) ), 'greatest_lower_bound'(
% 0.77/1.18 identity, Y ) ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.77/1.18 , clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , 0, clause( 916, [ =( multiply( inverse( inverse( X ) ),
% 0.77/1.18 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.77/1.18 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.77/1.18 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.77/1.18 :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 928, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.77/1.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.77/1.18 , clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , 0, clause( 926, [ =( multiply( inverse( inverse( X ) ),
% 0.77/1.18 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.77/1.18 multiply( X, Y ) ) ) ] )
% 0.77/1.18 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.77/1.18 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 929, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.77/1.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.77/1.18 , clause( 928, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.77/1.18 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 147, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.77/1.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.77/1.18 , clause( 929, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.77/1.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.18 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 930, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.77/1.18 ) ] )
% 0.77/1.18 , clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 933, [ =( multiply( X, identity ), X ) ] )
% 0.77/1.18 , clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.77/1.18 , 0, clause( 930, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.77/1.18 , Y ) ) ] )
% 0.77/1.18 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.77/1.18 :=( Y, identity )] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.77/1.18 , clause( 933, [ =( multiply( X, identity ), X ) ] )
% 0.77/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqswap(
% 0.77/1.18 clause( 939, [ ~( =( a, 'greatest_lower_bound'( a, multiply( a, a ) ) ) ) ]
% 0.77/1.18 )
% 0.77/1.18 , clause( 16, [ ~( =( 'greatest_lower_bound'( a, multiply( a, a ) ), a ) )
% 0.77/1.18 ] )
% 0.77/1.18 , 0, substitution( 0, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 942, [ ~( =( a, multiply( a, 'greatest_lower_bound'( identity, a )
% 0.77/1.18 ) ) ) ] )
% 0.77/1.18 , clause( 147, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.77/1.18 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.77/1.18 , 0, clause( 939, [ ~( =( a, 'greatest_lower_bound'( a, multiply( a, a ) )
% 0.77/1.18 ) ) ] )
% 0.77/1.18 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.77/1.18 ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 943, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 0.77/1.18 , clause( 20, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.77/1.18 , 0, clause( 942, [ ~( =( a, multiply( a, 'greatest_lower_bound'( identity
% 0.77/1.18 , a ) ) ) ) ] )
% 0.77/1.18 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 paramod(
% 0.77/1.18 clause( 944, [ ~( =( a, a ) ) ] )
% 0.77/1.18 , clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.77/1.18 , 0, clause( 943, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 0.77/1.18 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 eqrefl(
% 0.77/1.18 clause( 945, [] )
% 0.77/1.18 , clause( 944, [ ~( =( a, a ) ) ] )
% 0.77/1.18 , 0, substitution( 0, [] )).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 subsumption(
% 0.77/1.18 clause( 801, [] )
% 0.77/1.18 , clause( 945, [] )
% 0.77/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 end.
% 0.77/1.18
% 0.77/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.18
% 0.77/1.18 Memory use:
% 0.77/1.18
% 0.77/1.18 space for terms: 10904
% 0.77/1.18 space for clauses: 86966
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 clauses generated: 11167
% 0.77/1.18 clauses kept: 802
% 0.77/1.18 clauses selected: 128
% 0.77/1.18 clauses deleted: 5
% 0.77/1.18 clauses inuse deleted: 0
% 0.77/1.18
% 0.77/1.18 subsentry: 2987
% 0.77/1.18 literals s-matched: 2666
% 0.77/1.18 literals matched: 2658
% 0.77/1.18 full subsumption: 0
% 0.77/1.18
% 0.77/1.18 checksum: 1495791439
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Bliksem ended
%------------------------------------------------------------------------------