TSTP Solution File: GRP491-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:37:17 EDT 2022
% Result : Unsatisfiable 0.43s 1.04s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 : Mon Jun 13 15:01:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.04 *** allocated 10000 integers for termspace/termends
% 0.43/1.04 *** allocated 10000 integers for clauses
% 0.43/1.04 *** allocated 10000 integers for justifications
% 0.43/1.04 Bliksem 1.12
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 Automatic Strategy Selection
% 0.43/1.04
% 0.43/1.04 Clauses:
% 0.43/1.04 [
% 0.43/1.04 [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'(
% 0.43/1.04 identity, 'double_divide'( 'double_divide'( 'double_divide'( X, Y ),
% 0.43/1.04 identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ],
% 0.43/1.04 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.43/1.04 identity ) ) ],
% 0.43/1.04 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.43/1.04 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.43/1.04 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.43/1.04 ] .
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.04 This is a pure equality problem
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 Options Used:
% 0.43/1.04
% 0.43/1.04 useres = 1
% 0.43/1.04 useparamod = 1
% 0.43/1.04 useeqrefl = 1
% 0.43/1.04 useeqfact = 1
% 0.43/1.04 usefactor = 1
% 0.43/1.04 usesimpsplitting = 0
% 0.43/1.04 usesimpdemod = 5
% 0.43/1.04 usesimpres = 3
% 0.43/1.04
% 0.43/1.04 resimpinuse = 1000
% 0.43/1.04 resimpclauses = 20000
% 0.43/1.04 substype = eqrewr
% 0.43/1.04 backwardsubs = 1
% 0.43/1.04 selectoldest = 5
% 0.43/1.04
% 0.43/1.04 litorderings [0] = split
% 0.43/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.04
% 0.43/1.04 termordering = kbo
% 0.43/1.04
% 0.43/1.04 litapriori = 0
% 0.43/1.04 termapriori = 1
% 0.43/1.04 litaposteriori = 0
% 0.43/1.04 termaposteriori = 0
% 0.43/1.04 demodaposteriori = 0
% 0.43/1.04 ordereqreflfact = 0
% 0.43/1.04
% 0.43/1.04 litselect = negord
% 0.43/1.04
% 0.43/1.04 maxweight = 15
% 0.43/1.04 maxdepth = 30000
% 0.43/1.04 maxlength = 115
% 0.43/1.04 maxnrvars = 195
% 0.43/1.04 excuselevel = 1
% 0.43/1.04 increasemaxweight = 1
% 0.43/1.04
% 0.43/1.04 maxselected = 10000000
% 0.43/1.04 maxnrclauses = 10000000
% 0.43/1.04
% 0.43/1.04 showgenerated = 0
% 0.43/1.04 showkept = 0
% 0.43/1.04 showselected = 0
% 0.43/1.04 showdeleted = 0
% 0.43/1.04 showresimp = 1
% 0.43/1.04 showstatus = 2000
% 0.43/1.04
% 0.43/1.04 prologoutput = 1
% 0.43/1.04 nrgoals = 5000000
% 0.43/1.04 totalproof = 1
% 0.43/1.04
% 0.43/1.04 Symbols occurring in the translation:
% 0.43/1.04
% 0.43/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.04 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.04 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.43/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.04 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.04 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.43/1.04 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.04 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.04 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 Starting Search:
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 Bliksems!, er is een bewijs:
% 0.43/1.04 % SZS status Unsatisfiable
% 0.43/1.04 % SZS output start Refutation
% 0.43/1.04
% 0.43/1.04 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.43/1.04 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.43/1.04 )
% 0.43/1.04 .
% 0.43/1.04 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.43/1.04 multiply( X, Y ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.43/1.04 inverse( identity ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 12, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.43/1.04 inverse( Y ) ) ) ), Y ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.04 ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.43/1.04 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.04 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.43/1.04 ), identity ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 30, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.43/1.04 identity ) ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 34, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 39, [ =( multiply( X, 'double_divide'( identity, X ) ), identity )
% 0.43/1.04 ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 43, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 46, [ =( inverse( inverse( X ) ), X ) ] )
% 0.43/1.04 .
% 0.43/1.04 clause( 52, [] )
% 0.43/1.04 .
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 % SZS output end Refutation
% 0.43/1.04 found a proof!
% 0.43/1.04
% 0.43/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.04
% 0.43/1.04 initialclauses(
% 0.43/1.04 [ clause( 54, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.43/1.04 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 55, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.43/1.04 ), identity ) ) ] )
% 0.43/1.04 , clause( 56, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.43/1.04 , clause( 57, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.43/1.04 , clause( 58, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.04 ] ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.43/1.04 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 54, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.43/1.04 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.43/1.04 )
% 0.43/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 61, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.43/1.04 multiply( X, Y ) ) ] )
% 0.43/1.04 , clause( 55, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.43/1.04 ), identity ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.43/1.04 multiply( X, Y ) ) ] )
% 0.43/1.04 , clause( 61, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.43/1.04 multiply( X, Y ) ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.04 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 64, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , clause( 56, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , clause( 64, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 68, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , clause( 57, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , clause( 68, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.04 , clause( 58, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 76, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.43/1.04 multiply( X, Y ) ) ] )
% 0.43/1.04 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.43/1.04 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.43/1.04 , clause( 76, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.04 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 79, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 82, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , 0, clause( 79, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.43/1.04 ) ] )
% 0.43/1.04 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.04 :=( Y, inverse( X ) )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 , clause( 82, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 85, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 88, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 85, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.43/1.04 ) ] )
% 0.43/1.04 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.04 :=( Y, identity )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 , clause( 88, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 93, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.43/1.04 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( 'double_divide'(
% 0.43/1.04 'double_divide'( X, Y ), identity ), 'double_divide'( Z, Y ) ) ) ), Z ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.43/1.04 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 94, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, clause( 93, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( 'double_divide'( X,
% 0.43/1.04 Y ) ), 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.04 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , clause( 94, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 97, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.43/1.04 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 100, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.43/1.04 'double_divide'( X, Y ) ) ) ] )
% 0.43/1.04 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, clause( 97, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.43/1.04 :=( X, 'double_divide'( X, Y ) )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 101, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.43/1.04 inverse( identity ) ) ] )
% 0.43/1.04 , clause( 100, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.43/1.04 'double_divide'( X, Y ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.43/1.04 inverse( identity ) ) ] )
% 0.43/1.04 , clause( 101, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.43/1.04 inverse( identity ) ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.04 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 103, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.43/1.04 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 104, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.04 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 , 0, clause( 103, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.43/1.04 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 105, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.04 , clause( 104, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.04 , clause( 105, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.43/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 107, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.04 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 109, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 'double_divide'( X, identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.43/1.04 , 0, clause( 107, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.04 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.43/1.04 :=( Y, identity ), :=( Z, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 110, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 inverse( X ) ) ) ) ) ] )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 109, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 'double_divide'( X, identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.04 :=( Y, Y )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 111, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 inverse( X ) ) ) ), X ) ] )
% 0.43/1.04 , clause( 110, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 inverse( X ) ) ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 12, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.43/1.04 inverse( Y ) ) ) ), Y ) ] )
% 0.43/1.04 , clause( 111, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( inverse( inverse( Y ) ),
% 0.43/1.04 inverse( X ) ) ) ), X ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.04 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 113, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.04 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 116, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.43/1.04 identity ) ) ) ) ] )
% 0.43/1.04 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , 0, clause( 113, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.04 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.04 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.43/1.04 :=( Y, inverse( X ) ), :=( Z, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 117, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 116, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, 'double_divide'( multiply( inverse( X ), Y ),
% 0.43/1.04 identity ) ) ) ) ] )
% 0.43/1.04 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 0.43/1.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 118, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.04 ) ] )
% 0.43/1.04 , clause( 117, [ =( X, 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.04 ) ] )
% 0.43/1.04 , clause( 118, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.04 ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.04 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 120, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.04 ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 121, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.43/1.04 , 0, clause( 120, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.43/1.04 )
% 0.43/1.04 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.04 :=( Y, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 122, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 , clause( 121, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 , clause( 122, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 124, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 125, [ =( inverse( identity ), 'double_divide'( identity,
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.04 , 0, clause( 124, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.43/1.04 inverse( identity ) )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 126, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.43/1.04 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.43/1.04 , clause( 125, [ =( inverse( identity ), 'double_divide'( identity,
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.43/1.04 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.43/1.04 , clause( 126, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.43/1.04 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.43/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 128, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 paramod(
% 0.43/1.04 clause( 129, [ =( identity, 'double_divide'( inverse( identity ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.04 , 0, clause( 128, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.43/1.04 identity )] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 130, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.04 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.43/1.04 , clause( 129, [ =( identity, 'double_divide'( inverse( identity ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , 0, substitution( 0, [] )).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 subsumption(
% 0.43/1.04 clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.04 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.43/1.04 , clause( 130, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.04 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.43/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 eqswap(
% 0.43/1.04 clause( 132, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.04 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.04 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 134, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.43/1.05 ), 'double_divide'( inverse( identity ), 'double_divide'( identity,
% 0.43/1.05 inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , clause( 25, [ =( 'double_divide'( identity, 'double_divide'( identity,
% 0.43/1.05 inverse( inverse( identity ) ) ) ), inverse( identity ) ) ] )
% 0.43/1.05 , 0, clause( 132, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, 'double_divide'(
% 0.43/1.05 identity, inverse( inverse( identity ) ) ) )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 135, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.43/1.05 ), identity ) ] )
% 0.43/1.05 , clause( 26, [ =( 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.05 identity, inverse( inverse( identity ) ) ) ), identity ) ] )
% 0.43/1.05 , 0, clause( 134, [ =( 'double_divide'( identity, inverse( inverse(
% 0.43/1.05 identity ) ) ), 'double_divide'( inverse( identity ), 'double_divide'(
% 0.43/1.05 identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity ) )
% 0.43/1.05 ), identity ) ] )
% 0.43/1.05 , clause( 135, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.43/1.05 ) ), identity ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 138, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.43/1.05 inverse( Y ) ) ) ) ) ] )
% 0.43/1.05 , clause( 12, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.43/1.05 inverse( Y ) ) ) ), Y ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 141, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.43/1.05 identity, X ), 'double_divide'( identity, identity ) ) ) ] )
% 0.43/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.05 , 0, clause( 138, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( inverse( inverse( X ) ),
% 0.43/1.05 inverse( Y ) ) ) ) ) ] )
% 0.43/1.05 , 0, 10, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.43/1.05 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 142, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.43/1.05 identity, X ), inverse( identity ) ) ) ] )
% 0.43/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.05 , 0, clause( 141, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.43/1.05 'double_divide'( identity, X ), 'double_divide'( identity, identity ) ) )
% 0.43/1.05 ] )
% 0.43/1.05 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.43/1.05 X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 143, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.43/1.05 identity ) ), inverse( inverse( X ) ) ) ] )
% 0.43/1.05 , clause( 142, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.43/1.05 'double_divide'( identity, X ), inverse( identity ) ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 30, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.43/1.05 identity ) ), inverse( inverse( X ) ) ) ] )
% 0.43/1.05 , clause( 143, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.43/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 145, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 150, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 identity ) ) ] )
% 0.43/1.05 , clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.43/1.05 ) ), identity ) ] )
% 0.43/1.05 , 0, clause( 145, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 152, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.43/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.05 , 0, clause( 150, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 identity ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.43/1.05 substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 153, [ =( X, multiply( X, identity ) ) ] )
% 0.43/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.05 )
% 0.43/1.05 , 0, clause( 152, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.43/1.05 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 154, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.05 , clause( 153, [ =( X, multiply( X, identity ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 34, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.05 , clause( 154, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 156, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.05 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.05 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.05 'double_divide'( Z, Y ) ) ) ), Z ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 160, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.43/1.05 , 'double_divide'( identity, 'double_divide'( multiply( inverse( inverse(
% 0.43/1.05 identity ) ), X ), identity ) ) ) ) ] )
% 0.43/1.05 , clause( 27, [ =( 'double_divide'( identity, inverse( inverse( identity )
% 0.43/1.05 ) ), identity ) ] )
% 0.43/1.05 , 0, clause( 156, [ =( Z, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, 'double_divide'( multiply( Y, X ),
% 0.43/1.05 'double_divide'( Z, Y ) ) ) ) ) ] )
% 0.43/1.05 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.43/1.05 inverse( inverse( identity ) ) ), :=( Z, identity )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 161, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.43/1.05 , 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.43/1.05 identity ) ), X ) ) ) ) ) ] )
% 0.43/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.05 , 0, clause( 160, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.43/1.05 , X ), 'double_divide'( identity, 'double_divide'( multiply( inverse(
% 0.43/1.05 inverse( identity ) ), X ), identity ) ) ) ) ] )
% 0.43/1.05 , 0, 8, substitution( 0, [ :=( X, multiply( inverse( inverse( identity ) )
% 0.43/1.05 , X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 162, [ =( identity, inverse( identity ) ) ] )
% 0.43/1.05 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.05 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.05 ) ] )
% 0.43/1.05 , 0, clause( 161, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.43/1.05 , X ), 'double_divide'( identity, inverse( multiply( inverse( inverse(
% 0.43/1.05 identity ) ), X ) ) ) ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X )] ),
% 0.43/1.05 substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 163, [ =( inverse( identity ), identity ) ] )
% 0.43/1.05 , clause( 162, [ =( identity, inverse( identity ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.43/1.05 , clause( 163, [ =( inverse( identity ), identity ) ] )
% 0.43/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 165, [ =( inverse( identity ), multiply( multiply( X, Y ),
% 0.43/1.05 'double_divide'( Y, X ) ) ) ] )
% 0.43/1.05 , clause( 10, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.43/1.05 inverse( identity ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 167, [ =( inverse( identity ), multiply( X, 'double_divide'(
% 0.43/1.05 identity, X ) ) ) ] )
% 0.43/1.05 , clause( 34, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.05 , 0, clause( 165, [ =( inverse( identity ), multiply( multiply( X, Y ),
% 0.43/1.05 'double_divide'( Y, X ) ) ) ] )
% 0.43/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.43/1.05 :=( Y, identity )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 168, [ =( identity, multiply( X, 'double_divide'( identity, X ) ) )
% 0.43/1.05 ] )
% 0.43/1.05 , clause( 35, [ =( inverse( identity ), identity ) ] )
% 0.43/1.05 , 0, clause( 167, [ =( inverse( identity ), multiply( X, 'double_divide'(
% 0.43/1.05 identity, X ) ) ) ] )
% 0.43/1.05 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 169, [ =( multiply( X, 'double_divide'( identity, X ) ), identity )
% 0.43/1.05 ] )
% 0.43/1.05 , clause( 168, [ =( identity, multiply( X, 'double_divide'( identity, X ) )
% 0.43/1.05 ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 39, [ =( multiply( X, 'double_divide'( identity, X ) ), identity )
% 0.43/1.05 ] )
% 0.43/1.05 , clause( 169, [ =( multiply( X, 'double_divide'( identity, X ) ), identity
% 0.43/1.05 ) ] )
% 0.43/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 171, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.43/1.05 )
% 0.43/1.05 , clause( 15, [ =( 'double_divide'( 'double_divide'( identity, Y ),
% 0.43/1.05 'double_divide'( identity, inverse( multiply( inverse( X ), Y ) ) ) ), X
% 0.43/1.05 ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 176, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity,
% 0.43/1.05 inverse( identity ) ) ) ) ] )
% 0.43/1.05 , clause( 39, [ =( multiply( X, 'double_divide'( identity, X ) ), identity
% 0.43/1.05 ) ] )
% 0.43/1.05 , 0, clause( 171, [ =( Y, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( multiply( inverse( Y ), X ) ) ) ) ) ]
% 0.43/1.05 )
% 0.43/1.05 , 0, 12, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.43/1.05 :=( X, 'double_divide'( identity, inverse( X ) ) ), :=( Y, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 177, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ), identity ) ) ] )
% 0.43/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.43/1.05 , 0, clause( 176, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity,
% 0.43/1.05 inverse( identity ) ) ) ) ] )
% 0.43/1.05 , 0, 9, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.43/1.05 X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 178, [ =( X, inverse( 'double_divide'( identity, 'double_divide'(
% 0.43/1.05 identity, inverse( X ) ) ) ) ) ] )
% 0.43/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.43/1.05 , 0, clause( 177, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ), identity ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ) )] ), substitution( 1, [ :=(
% 0.43/1.05 X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 179, [ =( X, multiply( 'double_divide'( identity, inverse( X ) ),
% 0.43/1.05 identity ) ) ] )
% 0.43/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.43/1.05 )
% 0.43/1.05 , 0, clause( 178, [ =( X, inverse( 'double_divide'( identity,
% 0.43/1.05 'double_divide'( identity, inverse( X ) ) ) ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.43/1.05 ), :=( Y, identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 180, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.43/1.05 , clause( 34, [ =( multiply( X, identity ), X ) ] )
% 0.43/1.05 , 0, clause( 179, [ =( X, multiply( 'double_divide'( identity, inverse( X )
% 0.43/1.05 ), identity ) ) ] )
% 0.43/1.05 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.43/1.05 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 181, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.43/1.05 , clause( 180, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 subsumption(
% 0.43/1.05 clause( 43, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.43/1.05 , clause( 181, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.43/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 eqswap(
% 0.43/1.05 clause( 183, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , clause( 18, [ =( 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ), X ) ] )
% 0.43/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 186, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 inverse( identity ) ) ) ] )
% 0.43/1.05 , clause( 43, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.43/1.05 , 0, clause( 183, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 'double_divide'( identity, inverse( inverse( identity ) ) ) ) ) ] )
% 0.43/1.05 , 0, 6, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.43/1.05 , [ :=( X, X )] )).
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 paramod(
% 0.43/1.05 clause( 188, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.43/1.05 , clause( 30, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse(
% 0.43/1.05 identity ) ), inverse( inverse( X ) ) ) ] )
% 0.43/1.05 , 0, clause( 186, [ =( X, 'double_divide'( 'double_divide'( identity, X ),
% 0.43/1.05 inverse( identity ) ) ) ] )
% 0.71/1.05 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.05 ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 eqswap(
% 0.71/1.05 clause( 189, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.05 , clause( 188, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 46, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.05 , clause( 189, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 eqswap(
% 0.71/1.05 clause( 190, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.05 , clause( 46, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 eqswap(
% 0.71/1.05 clause( 191, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.05 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.05 , 0, substitution( 0, [] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 resolution(
% 0.71/1.05 clause( 192, [] )
% 0.71/1.05 , clause( 191, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.05 , 0, clause( 190, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 subsumption(
% 0.71/1.05 clause( 52, [] )
% 0.71/1.05 , clause( 192, [] )
% 0.71/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 end.
% 0.71/1.05
% 0.71/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.05
% 0.71/1.05 Memory use:
% 0.71/1.05
% 0.71/1.05 space for terms: 666
% 0.71/1.05 space for clauses: 5818
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 clauses generated: 162
% 0.71/1.05 clauses kept: 53
% 0.71/1.05 clauses selected: 20
% 0.71/1.05 clauses deleted: 4
% 0.71/1.05 clauses inuse deleted: 0
% 0.71/1.05
% 0.71/1.05 subsentry: 326
% 0.71/1.05 literals s-matched: 120
% 0.71/1.05 literals matched: 120
% 0.71/1.05 full subsumption: 0
% 0.71/1.05
% 0.71/1.05 checksum: -1783567728
% 0.71/1.05
% 0.71/1.05
% 0.71/1.05 Bliksem ended
%------------------------------------------------------------------------------