%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:37:19 EDT 2022
% Result : Unsatisfiable 0.51s 1.14s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.15 % Command : bliksem %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % DateTime : Mon Jun 13 21:48:03 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.51/1.14 *** allocated 10000 integers for termspace/termends
% 0.51/1.14 *** allocated 10000 integers for clauses
% 0.51/1.14 *** allocated 10000 integers for justifications
% 0.51/1.14 Bliksem 1.12
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Automatic Strategy Selection
% 0.51/1.14
% 0.51/1.14 Clauses:
% 0.51/1.14 [
% 0.51/1.14 [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'( X,
% 0.51/1.14 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'( Y,
% 0.51/1.14 'double_divide'( Z, X ) ), identity ) ), Z ) ],
% 0.51/1.14 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.51/1.14 identity ) ) ],
% 0.51/1.14 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.51/1.14 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.51/1.14 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.51/1.14 ] .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.51/1.14 This is a pure equality problem
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Options Used:
% 0.51/1.14
% 0.51/1.14 useres = 1
% 0.51/1.14 useparamod = 1
% 0.51/1.14 useeqrefl = 1
% 0.51/1.14 useeqfact = 1
% 0.51/1.14 usefactor = 1
% 0.51/1.14 usesimpsplitting = 0
% 0.51/1.14 usesimpdemod = 5
% 0.51/1.14 usesimpres = 3
% 0.51/1.14
% 0.51/1.14 resimpinuse = 1000
% 0.51/1.14 resimpclauses = 20000
% 0.51/1.14 substype = eqrewr
% 0.51/1.14 backwardsubs = 1
% 0.51/1.14 selectoldest = 5
% 0.51/1.14
% 0.51/1.14 litorderings [0] = split
% 0.51/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.51/1.14
% 0.51/1.14 termordering = kbo
% 0.51/1.14
% 0.51/1.14 litapriori = 0
% 0.51/1.14 termapriori = 1
% 0.51/1.14 litaposteriori = 0
% 0.51/1.14 termaposteriori = 0
% 0.51/1.14 demodaposteriori = 0
% 0.51/1.14 ordereqreflfact = 0
% 0.51/1.14
% 0.51/1.14 litselect = negord
% 0.51/1.14
% 0.51/1.14 maxweight = 15
% 0.51/1.14 maxdepth = 30000
% 0.51/1.14 maxlength = 115
% 0.51/1.14 maxnrvars = 195
% 0.51/1.14 excuselevel = 1
% 0.51/1.14 increasemaxweight = 1
% 0.51/1.14
% 0.51/1.14 maxselected = 10000000
% 0.51/1.14 maxnrclauses = 10000000
% 0.51/1.14
% 0.51/1.14 showgenerated = 0
% 0.51/1.14 showkept = 0
% 0.51/1.14 showselected = 0
% 0.51/1.14 showdeleted = 0
% 0.51/1.14 showresimp = 1
% 0.51/1.14 showstatus = 2000
% 0.51/1.14
% 0.51/1.14 prologoutput = 1
% 0.51/1.14 nrgoals = 5000000
% 0.51/1.14 totalproof = 1
% 0.51/1.14
% 0.51/1.14 Symbols occurring in the translation:
% 0.51/1.14
% 0.51/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/1.14 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.51/1.14 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.51/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.51/1.14 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.51/1.14 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.51/1.14 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.51/1.14 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Starting Search:
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Bliksems!, er is een bewijs:
% 0.51/1.14 % SZS status Unsatisfiable
% 0.51/1.14 % SZS output start Refutation
% 0.51/1.14
% 0.51/1.14 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.51/1.14 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.51/1.14 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/1.14 multiply( X, Y ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.51/1.14 ), identity ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.51/1.14 X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ), Y ) ), Z ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 12, [] )
% 0.51/1.14 .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 % SZS output end Refutation
% 0.51/1.14 found a proof!
% 0.51/1.14
% 0.51/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.14
% 0.51/1.14 initialclauses(
% 0.51/1.14 [ clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.51/1.14 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.51/1.14 , clause( 15, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.51/1.14 ), identity ) ) ] )
% 0.51/1.14 , clause( 16, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.51/1.14 , clause( 17, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/1.14 , clause( 18, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.51/1.14 ] ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.51/1.14 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.51/1.14 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.51/1.14 , clause( 14, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.51/1.14 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 21, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/1.14 multiply( X, Y ) ) ] )
% 0.51/1.14 , clause( 15, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.51/1.14 ), identity ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/1.14 multiply( X, Y ) ) ] )
% 0.51/1.14 , clause( 21, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/1.14 multiply( X, Y ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 24, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , clause( 16, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , clause( 24, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 28, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 , clause( 17, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 , clause( 28, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.51/1.14 , clause( 18, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 36, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.51/1.14 multiply( X, Y ) ) ] )
% 0.51/1.14 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.51/1.14 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.51/1.14 , clause( 36, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 39, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 42, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/1.14 multiply( Y, X ) ) ) ] )
% 0.51/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , 0, clause( 39, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.51/1.14 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.51/1.14 :=( X, 'double_divide'( X, Y ) )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 43, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.51/1.14 ), identity ) ] )
% 0.51/1.14 , clause( 42, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.51/1.14 multiply( Y, X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.51/1.14 ), identity ) ] )
% 0.51/1.14 , clause( 43, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.51/1.14 ) ), identity ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 45, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 48, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.51/1.14 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.51/1.14 , 0, clause( 45, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.51/1.14 ) ] )
% 0.51/1.14 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.51/1.14 :=( Y, inverse( X ) )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.51/1.14 , clause( 48, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 55, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.51/1.14 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.51/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.51/1.14 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.51/1.14 , 0, 9, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( Z, X
% 0.51/1.14 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 57, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.51/1.14 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.51/1.14 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.51/1.14 , 0, clause( 55, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.51/1.14 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.51/1.14 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.51/1.14 :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 58, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.51/1.14 Y ) ), Z ) ] )
% 0.51/1.14 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.51/1.14 )
% 0.51/1.14 , 0, clause( 57, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.51/1.14 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.51/1.14 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( Z, X ) ), :=( Y, Y )] )
% 0.51/1.14 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.51/1.14 X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ), Y ) ), Z ) ] )
% 0.51/1.14 , clause( 58, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.51/1.14 Y ) ), Z ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 61, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.51/1.14 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 62, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.51/1.14 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.51/1.14 , 0, clause( 61, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.51/1.14 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 63, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.51/1.14 , clause( 62, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.51/1.14 , clause( 63, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 64, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.51/1.14 Y ) ) ) ] )
% 0.51/1.14 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.51/1.14 Y ) ), Z ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 67, [ =( inverse( identity ), identity ) ] )
% 0.51/1.14 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.51/1.14 ) ), identity ) ] )
% 0.51/1.14 , 0, clause( 64, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.51/1.14 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.51/1.14 Y ) ) ) ] )
% 0.51/1.14 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, 'double_divide'(
% 0.51/1.14 inverse( identity ), inverse( identity ) ) )] ), substitution( 1, [ :=( X
% 0.51/1.14 , inverse( identity ) ), :=( Y, identity ), :=( Z, inverse( identity ) )] )
% 0.51/1.14 ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 resolution(
% 0.51/1.14 clause( 69, [] )
% 0.51/1.14 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.51/1.14 , 0, clause( 67, [ =( inverse( identity ), identity ) ] )
% 0.51/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 12, [] )
% 0.51/1.14 , clause( 69, [] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 end.
% 0.51/1.14
% 0.51/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.14
% 0.51/1.14 Memory use:
% 0.51/1.14
% 0.51/1.14 space for terms: 222
% 0.51/1.14 space for clauses: 1392
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 clauses generated: 36
% 0.51/1.14 clauses kept: 13
% 0.51/1.14 clauses selected: 9
% 0.51/1.14 clauses deleted: 2
% 0.51/1.14 clauses inuse deleted: 0
% 0.51/1.14
% 0.51/1.14 subsentry: 162
% 0.51/1.14 literals s-matched: 68
% 0.51/1.14 literals matched: 68
% 0.51/1.14 full subsumption: 0
% 0.51/1.14
% 0.51/1.14 checksum: 1493415087
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Bliksem ended
%------------------------------------------------------------------------------