TSTP Solution File: CAT006-4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT006-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:54:10 EDT 2022
% Result : Unsatisfiable 0.59s 1.03s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : CAT006-4 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09 % Command : bliksem %s
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % DateTime : Sun May 29 17:57:56 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.59/1.03 *** allocated 10000 integers for termspace/termends
% 0.59/1.03 *** allocated 10000 integers for clauses
% 0.59/1.03 *** allocated 10000 integers for justifications
% 0.59/1.03 Bliksem 1.12
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 Automatic Strategy Selection
% 0.59/1.03
% 0.59/1.03 Clauses:
% 0.59/1.03 [
% 0.59/1.03 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.59/1.03 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.59/1.03 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.59/1.03 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.59/1.03 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.59/1.03 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.59/1.03 ],
% 0.59/1.03 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.59/1.03 ) ],
% 0.59/1.03 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.59/1.03 ), 'there_exists'( compose( X, Y ) ) ],
% 0.59/1.03 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.59/1.03 ,
% 0.59/1.03 [ =( compose( X, domain( X ) ), X ) ],
% 0.59/1.03 [ =( compose( codomain( X ), X ), X ) ],
% 0.59/1.03 [ 'there_exists'( compose( d, a ) ) ],
% 0.59/1.03 [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X ) ],
% 0.59/1.03 [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X ), X ) ],
% 0.59/1.03 [ ~( =( codomain( a ), d ) ) ]
% 0.59/1.03 ] .
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 percentage equality = 0.370370, percentage horn = 1.000000
% 0.59/1.03 This is a problem with some equality
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 Options Used:
% 0.59/1.03
% 0.59/1.03 useres = 1
% 0.59/1.03 useparamod = 1
% 0.59/1.03 useeqrefl = 1
% 0.59/1.03 useeqfact = 1
% 0.59/1.03 usefactor = 1
% 0.59/1.03 usesimpsplitting = 0
% 0.59/1.03 usesimpdemod = 5
% 0.59/1.03 usesimpres = 3
% 0.59/1.03
% 0.59/1.03 resimpinuse = 1000
% 0.59/1.03 resimpclauses = 20000
% 0.59/1.03 substype = eqrewr
% 0.59/1.03 backwardsubs = 1
% 0.59/1.03 selectoldest = 5
% 0.59/1.03
% 0.59/1.03 litorderings [0] = split
% 0.59/1.03 litorderings [1] = extend the termordering, first sorting on arguments
% 0.59/1.03
% 0.59/1.03 termordering = kbo
% 0.59/1.03
% 0.59/1.03 litapriori = 0
% 0.59/1.03 termapriori = 1
% 0.59/1.03 litaposteriori = 0
% 0.59/1.03 termaposteriori = 0
% 0.59/1.03 demodaposteriori = 0
% 0.59/1.03 ordereqreflfact = 0
% 0.59/1.03
% 0.59/1.03 litselect = negord
% 0.59/1.03
% 0.59/1.03 maxweight = 15
% 0.59/1.03 maxdepth = 30000
% 0.59/1.03 maxlength = 115
% 0.59/1.03 maxnrvars = 195
% 0.59/1.03 excuselevel = 1
% 0.59/1.03 increasemaxweight = 1
% 0.59/1.03
% 0.59/1.03 maxselected = 10000000
% 0.59/1.03 maxnrclauses = 10000000
% 0.59/1.03
% 0.59/1.03 showgenerated = 0
% 0.59/1.03 showkept = 0
% 0.59/1.03 showselected = 0
% 0.59/1.03 showdeleted = 0
% 0.59/1.03 showresimp = 1
% 0.59/1.03 showstatus = 2000
% 0.59/1.03
% 0.59/1.03 prologoutput = 1
% 0.59/1.03 nrgoals = 5000000
% 0.59/1.03 totalproof = 1
% 0.59/1.03
% 0.59/1.03 Symbols occurring in the translation:
% 0.59/1.03
% 0.59/1.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.59/1.03 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.59/1.03 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.59/1.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.59/1.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.59/1.03 equivalent [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.59/1.03 'there_exists' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.59/1.03 domain [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.59/1.03 codomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.59/1.03 compose [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.59/1.03 d [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.59/1.03 a [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 Starting Search:
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 Bliksems!, er is een bewijs:
% 0.59/1.03 % SZS status Unsatisfiable
% 0.59/1.03 % SZS output start Refutation
% 0.59/1.03
% 0.59/1.03 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.59/1.03 X ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 11, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 13, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X ), X
% 0.59/1.03 ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 14, [ ~( =( codomain( a ), d ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 83, [ 'there_exists'( domain( d ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 87, [ 'there_exists'( d ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 110, [ =( domain( d ), codomain( a ) ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 346, [ =( codomain( a ), d ) ] )
% 0.59/1.03 .
% 0.59/1.03 clause( 354, [] )
% 0.59/1.03 .
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 % SZS output end Refutation
% 0.59/1.03 found a proof!
% 0.59/1.03
% 0.59/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.59/1.03
% 0.59/1.03 initialclauses(
% 0.59/1.03 [ clause( 356, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.59/1.03 , clause( 357, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.59/1.03 , clause( 358, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y
% 0.59/1.03 ) ] )
% 0.59/1.03 , clause( 359, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.59/1.03 )
% 0.59/1.03 , clause( 360, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.59/1.03 ] )
% 0.59/1.03 , clause( 361, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.59/1.03 domain( X ) ) ] )
% 0.59/1.03 , clause( 362, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ] )
% 0.59/1.03 , clause( 363, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.59/1.03 , clause( 364, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y )
% 0.59/1.03 , Z ) ) ] )
% 0.59/1.03 , clause( 365, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 , clause( 366, [ =( compose( codomain( X ), X ), X ) ] )
% 0.59/1.03 , clause( 367, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 , clause( 368, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d )
% 0.59/1.03 , X ) ] )
% 0.59/1.03 , clause( 369, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X )
% 0.59/1.03 , X ) ] )
% 0.59/1.03 , clause( 370, [ ~( =( codomain( a ), d ) ) ] )
% 0.59/1.03 ] ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.59/1.03 , clause( 359, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.59/1.03 )
% 0.59/1.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.59/1.03 1 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.59/1.03 X ) ) ] )
% 0.59/1.03 , clause( 361, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.59/1.03 domain( X ) ) ] )
% 0.59/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.59/1.03 ), ==>( 1, 1 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ] )
% 0.59/1.03 , clause( 362, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ] )
% 0.59/1.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.59/1.03 ), ==>( 1, 1 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 , clause( 365, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 11, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 , clause( 367, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 13, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X ), X
% 0.59/1.03 ) ] )
% 0.59/1.03 , clause( 369, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X )
% 0.59/1.03 , X ) ] )
% 0.59/1.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.59/1.03 1 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 14, [ ~( =( codomain( a ), d ) ) ] )
% 0.59/1.03 , clause( 370, [ ~( =( codomain( a ), d ) ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 resolution(
% 0.59/1.03 clause( 410, [ 'there_exists'( domain( d ) ) ] )
% 0.59/1.03 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.59/1.03 domain( X ) ) ] )
% 0.59/1.03 , 0, clause( 11, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 , 0, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.59/1.03 ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 83, [ 'there_exists'( domain( d ) ) ] )
% 0.59/1.03 , clause( 410, [ 'there_exists'( domain( d ) ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 resolution(
% 0.59/1.03 clause( 411, [ 'there_exists'( d ) ] )
% 0.59/1.03 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.59/1.03 , 0, clause( 83, [ 'there_exists'( domain( d ) ) ] )
% 0.59/1.03 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 87, [ 'there_exists'( d ) ] )
% 0.59/1.03 , clause( 411, [ 'there_exists'( d ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 eqswap(
% 0.59/1.03 clause( 412, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'( compose(
% 0.59/1.03 X, Y ) ) ) ] )
% 0.59/1.03 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.59/1.03 codomain( Y ) ) ] )
% 0.59/1.03 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 resolution(
% 0.59/1.03 clause( 413, [ =( codomain( a ), domain( d ) ) ] )
% 0.59/1.03 , clause( 412, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 0.59/1.03 compose( X, Y ) ) ) ] )
% 0.59/1.03 , 1, clause( 11, [ 'there_exists'( compose( d, a ) ) ] )
% 0.59/1.03 , 0, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.59/1.03 ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 eqswap(
% 0.59/1.03 clause( 414, [ =( domain( d ), codomain( a ) ) ] )
% 0.59/1.03 , clause( 413, [ =( codomain( a ), domain( d ) ) ] )
% 0.59/1.03 , 0, substitution( 0, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 110, [ =( domain( d ), codomain( a ) ) ] )
% 0.59/1.03 , clause( 414, [ =( domain( d ), codomain( a ) ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 eqswap(
% 0.59/1.03 clause( 416, [ =( X, compose( d, X ) ), ~( 'there_exists'( compose( d, X )
% 0.59/1.03 ) ) ] )
% 0.59/1.03 , clause( 13, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X )
% 0.59/1.03 , X ) ] )
% 0.59/1.03 , 1, substitution( 0, [ :=( X, X )] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 paramod(
% 0.59/1.03 clause( 655, [ ~( 'there_exists'( d ) ), =( domain( d ), compose( d, domain(
% 0.59/1.03 d ) ) ) ] )
% 0.59/1.03 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 , 0, clause( 416, [ =( X, compose( d, X ) ), ~( 'there_exists'( compose( d
% 0.59/1.03 , X ) ) ) ] )
% 0.59/1.03 , 1, 2, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X, domain(
% 0.59/1.03 d ) )] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 paramod(
% 0.59/1.03 clause( 656, [ =( domain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.59/1.03 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 0.59/1.03 , 0, clause( 655, [ ~( 'there_exists'( d ) ), =( domain( d ), compose( d,
% 0.59/1.03 domain( d ) ) ) ] )
% 0.59/1.03 , 1, 3, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 paramod(
% 0.59/1.03 clause( 666, [ =( codomain( a ), d ), ~( 'there_exists'( d ) ) ] )
% 0.59/1.03 , clause( 110, [ =( domain( d ), codomain( a ) ) ] )
% 0.59/1.03 , 0, clause( 656, [ =( domain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.59/1.03 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 resolution(
% 0.59/1.03 clause( 667, [ =( codomain( a ), d ) ] )
% 0.59/1.03 , clause( 666, [ =( codomain( a ), d ), ~( 'there_exists'( d ) ) ] )
% 0.59/1.03 , 1, clause( 87, [ 'there_exists'( d ) ] )
% 0.59/1.03 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 346, [ =( codomain( a ), d ) ] )
% 0.59/1.03 , clause( 667, [ =( codomain( a ), d ) ] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 resolution(
% 0.59/1.03 clause( 671, [] )
% 0.59/1.03 , clause( 14, [ ~( =( codomain( a ), d ) ) ] )
% 0.59/1.03 , 0, clause( 346, [ =( codomain( a ), d ) ] )
% 0.59/1.03 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 subsumption(
% 0.59/1.03 clause( 354, [] )
% 0.59/1.03 , clause( 671, [] )
% 0.59/1.03 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 end.
% 0.59/1.03
% 0.59/1.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.59/1.03
% 0.59/1.03 Memory use:
% 0.59/1.03
% 0.59/1.03 space for terms: 3683
% 0.59/1.03 space for clauses: 18545
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 clauses generated: 686
% 0.59/1.03 clauses kept: 355
% 0.59/1.03 clauses selected: 49
% 0.59/1.03 clauses deleted: 3
% 0.59/1.03 clauses inuse deleted: 0
% 0.59/1.03
% 0.59/1.03 subsentry: 3811
% 0.59/1.03 literals s-matched: 3157
% 0.59/1.03 literals matched: 3128
% 0.59/1.03 full subsumption: 137
% 0.59/1.03
% 0.59/1.03 checksum: -1842077274
% 0.59/1.03
% 0.59/1.03
% 0.59/1.03 Bliksem ended
%------------------------------------------------------------------------------