TSTP Solution File: GRP581-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP581-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:37:44 EDT 2022
% Result : Unsatisfiable 0.60s 0.96s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP581-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 04:13:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.96 *** allocated 10000 integers for termspace/termends
% 0.60/0.96 *** allocated 10000 integers for clauses
% 0.60/0.96 *** allocated 10000 integers for justifications
% 0.60/0.96 Bliksem 1.12
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Automatic Strategy Selection
% 0.60/0.96
% 0.60/0.96 Clauses:
% 0.60/0.96 [
% 0.60/0.96 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ],
% 0.60/0.96 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.60/0.96 identity ) ) ],
% 0.60/0.96 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.60/0.96 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.60/0.96 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.60/0.96 ] .
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 percentage equality = 1.000000, percentage horn = 1.000000
% 0.60/0.96 This is a pure equality problem
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Options Used:
% 0.60/0.96
% 0.60/0.96 useres = 1
% 0.60/0.96 useparamod = 1
% 0.60/0.96 useeqrefl = 1
% 0.60/0.96 useeqfact = 1
% 0.60/0.96 usefactor = 1
% 0.60/0.96 usesimpsplitting = 0
% 0.60/0.96 usesimpdemod = 5
% 0.60/0.96 usesimpres = 3
% 0.60/0.96
% 0.60/0.96 resimpinuse = 1000
% 0.60/0.96 resimpclauses = 20000
% 0.60/0.96 substype = eqrewr
% 0.60/0.96 backwardsubs = 1
% 0.60/0.96 selectoldest = 5
% 0.60/0.96
% 0.60/0.96 litorderings [0] = split
% 0.60/0.96 litorderings [1] = extend the termordering, first sorting on arguments
% 0.60/0.96
% 0.60/0.96 termordering = kbo
% 0.60/0.96
% 0.60/0.96 litapriori = 0
% 0.60/0.96 termapriori = 1
% 0.60/0.96 litaposteriori = 0
% 0.60/0.96 termaposteriori = 0
% 0.60/0.96 demodaposteriori = 0
% 0.60/0.96 ordereqreflfact = 0
% 0.60/0.96
% 0.60/0.96 litselect = negord
% 0.60/0.96
% 0.60/0.96 maxweight = 15
% 0.60/0.96 maxdepth = 30000
% 0.60/0.96 maxlength = 115
% 0.60/0.96 maxnrvars = 195
% 0.60/0.96 excuselevel = 1
% 0.60/0.96 increasemaxweight = 1
% 0.60/0.96
% 0.60/0.96 maxselected = 10000000
% 0.60/0.96 maxnrclauses = 10000000
% 0.60/0.96
% 0.60/0.96 showgenerated = 0
% 0.60/0.96 showkept = 0
% 0.60/0.96 showselected = 0
% 0.60/0.96 showdeleted = 0
% 0.60/0.96 showresimp = 1
% 0.60/0.96 showstatus = 2000
% 0.60/0.96
% 0.60/0.96 prologoutput = 1
% 0.60/0.96 nrgoals = 5000000
% 0.60/0.96 totalproof = 1
% 0.60/0.96
% 0.60/0.96 Symbols occurring in the translation:
% 0.60/0.96
% 0.60/0.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.60/0.96 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.60/0.96 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.60/0.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/0.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/0.96 identity [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.60/0.96 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.60/0.96 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.60/0.96 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.60/0.96 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Starting Search:
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Bliksems!, er is een bewijs:
% 0.60/0.96 % SZS status Unsatisfiable
% 0.60/0.96 % SZS output start Refutation
% 0.60/0.96
% 0.60/0.96 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.60/0.96 multiply( X, Y ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 15, [ =( 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.60/0.96 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 35, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.60/0.96 identity ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 41, [ =( inverse( identity ), identity ) ] )
% 0.60/0.96 .
% 0.60/0.96 clause( 43, [] )
% 0.60/0.96 .
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 % SZS output end Refutation
% 0.60/0.96 found a proof!
% 0.60/0.96
% 0.60/0.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.60/0.96
% 0.60/0.96 initialclauses(
% 0.60/0.96 [ clause( 45, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.60/0.96 , clause( 46, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.60/0.96 ), identity ) ) ] )
% 0.60/0.96 , clause( 47, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.60/0.96 , clause( 48, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.60/0.96 , clause( 49, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.60/0.96 ] ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.60/0.96 , clause( 45, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.60/0.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 52, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.60/0.96 multiply( X, Y ) ) ] )
% 0.60/0.96 , clause( 46, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.60/0.96 ), identity ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.60/0.96 multiply( X, Y ) ) ] )
% 0.60/0.96 , clause( 52, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.60/0.96 multiply( X, Y ) ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.60/0.96 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 55, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , clause( 47, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , clause( 55, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 59, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , clause( 48, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , clause( 59, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.60/0.96 , clause( 49, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.60/0.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 67, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.60/0.96 )
% 0.60/0.96 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.60/0.96 multiply( X, Y ) ) ] )
% 0.60/0.96 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.60/0.96 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.60/0.96 , clause( 67, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.60/0.96 )
% 0.60/0.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.60/0.96 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 70, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.60/0.96 )
% 0.60/0.96 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.60/0.96 )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 73, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , 0, clause( 70, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.60/0.96 ) ] )
% 0.60/0.96 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.60/0.96 :=( Y, inverse( X ) )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 , clause( 73, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 77, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.60/0.96 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.60/0.96 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.60/0.96 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.60/0.96 , clause( 77, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.60/0.96 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 80, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.60/0.96 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 81, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 , 0, clause( 80, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.60/0.96 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 82, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.60/0.96 , clause( 81, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.60/0.96 , clause( 82, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.60/0.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 84, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.60/0.96 'double_divide'( identity, Y ), 'double_divide'( Z, 'double_divide'( Y, X
% 0.60/0.96 ) ) ) ), inverse( identity ) ), Z ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 86, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.60/0.96 inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , 0, clause( 84, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( Z,
% 0.60/0.96 'double_divide'( Y, X ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.60/0.96 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 88, [ =( 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.60/0.96 inverse( Y ) ) ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , clause( 86, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.60/0.96 inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 15, [ =( 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.60/0.96 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.60/0.96 , clause( 88, [ =( 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, Y ), 'double_divide'( X,
% 0.60/0.96 inverse( Y ) ) ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.60/0.96 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 90, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.60/0.96 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.60/0.96 inverse( X ) ) ) ), inverse( identity ) ), Y ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 94, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), identity ) ), inverse(
% 0.60/0.96 identity ) ) ) ] )
% 0.60/0.96 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , 0, clause( 90, [ =( Y, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( Y,
% 0.60/0.96 inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.60/0.96 :=( Y, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 95, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.60/0.96 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.60/0.96 , 0, clause( 94, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 'double_divide'( 'double_divide'( identity, X ), identity ) ), inverse(
% 0.60/0.96 identity ) ) ) ] )
% 0.60/0.96 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.60/0.96 substitution( 1, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 96, [ =( X, 'double_divide'( 'double_divide'( identity, multiply( X
% 0.60/0.96 , identity ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.60/0.96 )
% 0.60/0.96 , 0, clause( 95, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 inverse( 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.60/0.96 1, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 97, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.60/0.96 identity ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , clause( 96, [ =( X, 'double_divide'( 'double_divide'( identity, multiply(
% 0.60/0.96 X, identity ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 35, [ =( 'double_divide'( 'double_divide'( identity, multiply( X,
% 0.60/0.96 identity ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , clause( 97, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.60/0.96 , identity ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 eqswap(
% 0.60/0.96 clause( 99, [ =( X, 'double_divide'( 'double_divide'( identity, multiply( X
% 0.60/0.96 , identity ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 35, [ =( 'double_divide'( 'double_divide'( identity, multiply( X
% 0.60/0.96 , identity ) ), inverse( identity ) ), X ) ] )
% 0.60/0.96 , 0, substitution( 0, [ :=( X, X )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 102, [ =( inverse( identity ), 'double_divide'( 'double_divide'(
% 0.60/0.96 identity, inverse( identity ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.60/0.96 , 0, clause( 99, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.60/0.96 multiply( X, identity ) ), inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.60/0.96 inverse( identity ) )] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 103, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 0.60/0.96 identity ) ) ) ] )
% 0.60/0.96 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , 0, clause( 102, [ =( inverse( identity ), 'double_divide'(
% 0.60/0.96 'double_divide'( identity, inverse( identity ) ), inverse( identity ) ) )
% 0.60/0.96 ] )
% 0.60/0.96 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 paramod(
% 0.60/0.96 clause( 105, [ =( inverse( identity ), identity ) ] )
% 0.60/0.96 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.60/0.96 , 0, clause( 103, [ =( inverse( identity ), 'double_divide'( identity,
% 0.60/0.96 inverse( identity ) ) ) ] )
% 0.60/0.96 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 41, [ =( inverse( identity ), identity ) ] )
% 0.60/0.96 , clause( 105, [ =( inverse( identity ), identity ) ] )
% 0.60/0.96 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 resolution(
% 0.60/0.96 clause( 109, [] )
% 0.60/0.96 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.60/0.96 , 0, clause( 41, [ =( inverse( identity ), identity ) ] )
% 0.60/0.96 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 subsumption(
% 0.60/0.96 clause( 43, [] )
% 0.60/0.96 , clause( 109, [] )
% 0.60/0.96 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 end.
% 0.60/0.96
% 0.60/0.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.60/0.96
% 0.60/0.96 Memory use:
% 0.60/0.96
% 0.60/0.96 space for terms: 623
% 0.60/0.96 space for clauses: 5600
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 clauses generated: 182
% 0.60/0.96 clauses kept: 44
% 0.60/0.96 clauses selected: 23
% 0.60/0.96 clauses deleted: 5
% 0.60/0.96 clauses inuse deleted: 0
% 0.60/0.96
% 0.60/0.96 subsentry: 184
% 0.60/0.96 literals s-matched: 74
% 0.60/0.96 literals matched: 74
% 0.60/0.96 full subsumption: 0
% 0.60/0.96
% 0.60/0.96 checksum: 1056213747
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Bliksem ended
%------------------------------------------------------------------------------