TSTP Solution File: GRP566-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP566-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:37:39 EDT 2022
% Result : Unsatisfiable 0.67s 1.09s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP566-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 01:44:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/1.09 *** allocated 10000 integers for termspace/termends
% 0.67/1.09 *** allocated 10000 integers for clauses
% 0.67/1.09 *** allocated 10000 integers for justifications
% 0.67/1.09 Bliksem 1.12
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Automatic Strategy Selection
% 0.67/1.09
% 0.67/1.09 Clauses:
% 0.67/1.09 [
% 0.67/1.09 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.67/1.09 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.67/1.09 identity ) ) ],
% 0.67/1.09 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.67/1.09 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.67/1.09 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.67/1.09 ] .
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.67/1.09 This is a pure equality problem
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Options Used:
% 0.67/1.09
% 0.67/1.09 useres = 1
% 0.67/1.09 useparamod = 1
% 0.67/1.09 useeqrefl = 1
% 0.67/1.09 useeqfact = 1
% 0.67/1.09 usefactor = 1
% 0.67/1.09 usesimpsplitting = 0
% 0.67/1.09 usesimpdemod = 5
% 0.67/1.09 usesimpres = 3
% 0.67/1.09
% 0.67/1.09 resimpinuse = 1000
% 0.67/1.09 resimpclauses = 20000
% 0.67/1.09 substype = eqrewr
% 0.67/1.09 backwardsubs = 1
% 0.67/1.09 selectoldest = 5
% 0.67/1.09
% 0.67/1.09 litorderings [0] = split
% 0.67/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.67/1.09
% 0.67/1.09 termordering = kbo
% 0.67/1.09
% 0.67/1.09 litapriori = 0
% 0.67/1.09 termapriori = 1
% 0.67/1.09 litaposteriori = 0
% 0.67/1.09 termaposteriori = 0
% 0.67/1.09 demodaposteriori = 0
% 0.67/1.09 ordereqreflfact = 0
% 0.67/1.09
% 0.67/1.09 litselect = negord
% 0.67/1.09
% 0.67/1.09 maxweight = 15
% 0.67/1.09 maxdepth = 30000
% 0.67/1.09 maxlength = 115
% 0.67/1.09 maxnrvars = 195
% 0.67/1.09 excuselevel = 1
% 0.67/1.09 increasemaxweight = 1
% 0.67/1.09
% 0.67/1.09 maxselected = 10000000
% 0.67/1.09 maxnrclauses = 10000000
% 0.67/1.09
% 0.67/1.09 showgenerated = 0
% 0.67/1.09 showkept = 0
% 0.67/1.09 showselected = 0
% 0.67/1.09 showdeleted = 0
% 0.67/1.09 showresimp = 1
% 0.67/1.09 showstatus = 2000
% 0.67/1.09
% 0.67/1.09 prologoutput = 1
% 0.67/1.09 nrgoals = 5000000
% 0.67/1.09 totalproof = 1
% 0.67/1.09
% 0.67/1.09 Symbols occurring in the translation:
% 0.67/1.09
% 0.67/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.67/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.67/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.67/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.09 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.67/1.09 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.67/1.09 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.67/1.09 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.67/1.09 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Starting Search:
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Bliksems!, er is een bewijs:
% 0.67/1.09 % SZS status Unsatisfiable
% 0.67/1.09 % SZS output start Refutation
% 0.67/1.09
% 0.67/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.67/1.09 multiply( X, Y ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.67/1.09 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.67/1.09 Y ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), Y ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 26, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.67/1.09 inverse( identity ) ), identity ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 30, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.67/1.09 ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 58, [] )
% 0.67/1.09 .
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 % SZS output end Refutation
% 0.67/1.09 found a proof!
% 0.67/1.09
% 0.67/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.09
% 0.67/1.09 initialclauses(
% 0.67/1.09 [ clause( 60, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.67/1.09 , clause( 61, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.67/1.09 ), identity ) ) ] )
% 0.67/1.09 , clause( 62, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.67/1.09 , clause( 63, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.67/1.09 , clause( 64, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.67/1.09 ] ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.67/1.09 , clause( 60, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.67/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 67, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.67/1.09 multiply( X, Y ) ) ] )
% 0.67/1.09 , clause( 61, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.67/1.09 ), identity ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.67/1.09 multiply( X, Y ) ) ] )
% 0.67/1.09 , clause( 67, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.67/1.09 multiply( X, Y ) ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.09 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 70, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , clause( 62, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , clause( 70, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 74, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , clause( 63, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , clause( 74, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.67/1.09 , clause( 64, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.67/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 82, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.67/1.09 multiply( X, Y ) ) ] )
% 0.67/1.09 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.67/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.67/1.09 , clause( 82, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.09 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 85, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 88, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 85, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.67/1.09 ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.09 :=( Y, identity )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , clause( 88, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.67/1.09 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.67/1.09 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 , clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.67/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 95, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.67/1.09 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 96, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.67/1.09 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , 0, clause( 95, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.67/1.09 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 97, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.67/1.09 , clause( 96, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.67/1.09 , clause( 97, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.67/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 99, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 103, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ), identity
% 0.67/1.09 ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , 0, clause( 99, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.67/1.09 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 12, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.67/1.09 , Y ), :=( Y, X ), :=( Z, inverse( identity ) )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 104, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.67/1.09 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ) ) ),
% 0.67/1.09 inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 103, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.67/1.09 'double_divide'( 'double_divide'( X, 'double_divide'( Y, inverse(
% 0.67/1.09 identity ) ) ), identity ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'( Y,
% 0.67/1.09 inverse( identity ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.67/1.09 ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 105, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.67/1.09 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ) )
% 0.67/1.09 ] )
% 0.67/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , 0, clause( 104, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.67/1.09 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ) ) ),
% 0.67/1.09 inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( Y, inverse( identity ) )
% 0.67/1.09 ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 106, [ =( 'double_divide'( 'double_divide'( Y, multiply(
% 0.67/1.09 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ),
% 0.67/1.09 X ) ] )
% 0.67/1.09 , clause( 105, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.67/1.09 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ) )
% 0.67/1.09 ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.67/1.09 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.67/1.09 Y ) ] )
% 0.67/1.09 , clause( 106, [ =( 'double_divide'( 'double_divide'( Y, multiply(
% 0.67/1.09 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ),
% 0.67/1.09 X ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.09 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 108, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.67/1.09 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 111, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, 'double_divide'( Y, identity ) ), inverse( identity )
% 0.67/1.09 ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 108, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.67/1.09 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 11, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.67/1.09 , Y ), :=( Y, X ), :=( Z, identity )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 113, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 111, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.67/1.09 'double_divide'( 'double_divide'( X, 'double_divide'( Y, identity ) ),
% 0.67/1.09 inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.09 :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 114, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), X ) ] )
% 0.67/1.09 , clause( 113, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), Y ) ] )
% 0.67/1.09 , clause( 114, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.67/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), X ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.09 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 116, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.67/1.09 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.67/1.09 ] )
% 0.67/1.09 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.67/1.09 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.67/1.09 Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 118, [ =( X, 'double_divide'( 'double_divide'( identity, multiply(
% 0.67/1.09 identity, X ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , 0, clause( 116, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.67/1.09 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.67/1.09 ] )
% 0.67/1.09 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.67/1.09 identity ), :=( Y, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 119, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , 0, clause( 118, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.67/1.09 multiply( identity, X ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.09 ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 120, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.67/1.09 , clause( 119, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 17, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.67/1.09 , clause( 120, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 122, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ) ) ] )
% 0.67/1.09 , clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 123, [ =( identity, 'double_divide'( 'double_divide'( inverse( X )
% 0.67/1.09 , X ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 17, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.67/1.09 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.67/1.09 , 0, clause( 122, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.67/1.09 ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.67/1.09 X ) ), :=( Y, identity )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 125, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.67/1.09 inverse( identity ) ), identity ) ] )
% 0.67/1.09 , clause( 123, [ =( identity, 'double_divide'( 'double_divide'( inverse( X
% 0.67/1.09 ), X ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 26, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.67/1.09 inverse( identity ) ), identity ) ] )
% 0.67/1.09 , clause( 125, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.67/1.09 inverse( identity ) ), identity ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 128, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ) ) ] )
% 0.67/1.09 , clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 131, [ =( X, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 identity, inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , 0, clause( 128, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.67/1.09 ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.67/1.09 :=( Y, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 133, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.67/1.09 inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.67/1.09 , 0, clause( 131, [ =( X, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( identity, inverse( identity ) ) ), inverse( identity ) )
% 0.67/1.09 ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.67/1.09 X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 134, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) ) )
% 0.67/1.09 ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 133, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.67/1.09 inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.09 ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 135, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.67/1.09 ] )
% 0.67/1.09 , clause( 134, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) )
% 0.67/1.09 ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 30, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.67/1.09 ] )
% 0.67/1.09 , clause( 135, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.67/1.09 ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 137, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ) ) ] )
% 0.67/1.09 , clause( 14, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.67/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.67/1.09 identity ) ), Y ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 140, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.67/1.09 X, identity ), inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 26, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.67/1.09 inverse( identity ) ), identity ) ] )
% 0.67/1.09 , 0, clause( 137, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.67/1.09 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.67/1.09 ) ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.67/1.09 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 142, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X ),
% 0.67/1.09 inverse( identity ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.67/1.09 , 0, clause( 140, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.67/1.09 'double_divide'( X, identity ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.09 ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 143, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.09 , clause( 30, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.67/1.09 ) ] )
% 0.67/1.09 , 0, clause( 142, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X
% 0.67/1.09 ), inverse( identity ) ) ) ] )
% 0.67/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.67/1.09 ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.09 , clause( 143, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 145, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , clause( 45, [ =( inverse( inverse( X ) ), X ) ] )
% 0.67/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 146, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.67/1.09 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 resolution(
% 0.67/1.09 clause( 147, [] )
% 0.67/1.09 , clause( 146, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.67/1.09 , 0, clause( 145, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 58, [] )
% 0.67/1.09 , clause( 147, [] )
% 0.67/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 end.
% 0.67/1.09
% 0.67/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.09
% 0.67/1.09 Memory use:
% 0.67/1.09
% 0.67/1.09 space for terms: 710
% 0.67/1.09 space for clauses: 6835
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 clauses generated: 219
% 0.67/1.09 clauses kept: 59
% 0.67/1.09 clauses selected: 25
% 0.67/1.09 clauses deleted: 7
% 0.67/1.09 clauses inuse deleted: 0
% 0.67/1.09
% 0.67/1.09 subsentry: 229
% 0.67/1.09 literals s-matched: 88
% 0.67/1.09 literals matched: 88
% 0.67/1.09 full subsumption: 0
% 0.67/1.09
% 0.67/1.09 checksum: 22213178
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Bliksem ended
%------------------------------------------------------------------------------