%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:34:35 EDT 2022
% Result : Unsatisfiable 0.78s 1.31s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jun 14 13:57:46 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.78/1.30 *** allocated 10000 integers for termspace/termends
% 0.78/1.30 *** allocated 10000 integers for clauses
% 0.78/1.30 *** allocated 10000 integers for justifications
% 0.78/1.30 Bliksem 1.12
% 0.78/1.30
% 0.78/1.30
% 0.78/1.30 Automatic Strategy Selection
% 0.78/1.30
% 0.78/1.30 Clauses:
% 0.78/1.30 [
% 0.78/1.30 [ product( identity, X, X ) ],
% 0.78/1.30 [ product( inverse( X ), X, identity ) ],
% 0.78/1.30 [ product( X, Y, multiply( X, Y ) ) ],
% 0.78/1.30 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.78/1.30 ,
% 0.78/1.30 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.78/1.30 ) ), product( X, U, W ) ],
% 0.78/1.30 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.78/1.30 ) ), product( Z, T, W ) ],
% 0.78/1.30 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.78/1.30 ,
% 0.78/1.30 [ equalish( a, b ) ],
% 0.78/1.30 [ ~( equalish( inverse( a ), inverse( b ) ) ) ]
% 0.78/1.30 ] .
% 0.78/1.30
% 0.78/1.30
% 0.78/1.30 percentage equality = 0.000000, percentage horn = 1.000000
% 0.78/1.30 This is a near-Horn, non-equality problem
% 0.78/1.30
% 0.78/1.30
% 0.78/1.30 Options Used:
% 0.78/1.30
% 0.78/1.30 useres = 1
% 0.78/1.30 useparamod = 0
% 0.78/1.30 useeqrefl = 0
% 0.78/1.30 useeqfact = 0
% 0.78/1.30 usefactor = 1
% 0.78/1.30 usesimpsplitting = 0
% 0.78/1.30 usesimpdemod = 0
% 0.78/1.30 usesimpres = 4
% 0.78/1.30
% 0.78/1.30 resimpinuse = 1000
% 0.78/1.30 resimpclauses = 20000
% 0.78/1.30 substype = standard
% 0.78/1.30 backwardsubs = 1
% 0.78/1.30 selectoldest = 5
% 0.78/1.30
% 0.78/1.30 litorderings [0] = split
% 0.78/1.30 litorderings [1] = liftord
% 0.78/1.30
% 0.78/1.30 termordering = none
% 0.78/1.30
% 0.78/1.30 litapriori = 1
% 0.78/1.30 termapriori = 0
% 0.78/1.30 litaposteriori = 0
% 0.78/1.30 termaposteriori = 0
% 0.78/1.30 demodaposteriori = 0
% 0.78/1.30 ordereqreflfact = 0
% 0.78/1.30
% 0.78/1.30 litselect = negative
% 0.78/1.30
% 0.78/1.30 maxweight = 30000
% 0.78/1.30 maxdepth = 30000
% 0.78/1.30 maxlength = 115
% 0.78/1.30 maxnrvars = 195
% 0.78/1.30 excuselevel = 0
% 0.78/1.30 increasemaxweight = 0
% 0.78/1.30
% 0.78/1.30 maxselected = 10000000
% 0.78/1.30 maxnrclauses = 10000000
% 0.78/1.30
% 0.78/1.30 showgenerated = 0
% 0.78/1.30 showkept = 0
% 0.78/1.30 showselected = 0
% 0.78/1.30 showdeleted = 0
% 0.78/1.30 showresimp = 1
% 0.78/1.30 showstatus = 2000
% 0.78/1.30
% 0.78/1.30 prologoutput = 1
% 0.78/1.30 nrgoals = 5000000
% 0.78/1.30 totalproof = 1
% 0.78/1.30
% 0.78/1.30 Symbols occurring in the translation:
% 0.78/1.30
% 0.78/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.30 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.78/1.30 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.78/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.31 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.78/1.31 product [41, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.78/1.31 inverse [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.78/1.31 multiply [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.78/1.31 equalish [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.78/1.31 a [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.31 b [51, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Starting Search:
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Intermediate Status:
% 0.78/1.31 Generated: 2999
% 0.78/1.31 Kept: 2013
% 0.78/1.31 Inuse: 278
% 0.78/1.31 Deleted: 13
% 0.78/1.31 Deletedinuse: 5
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Intermediate Status:
% 0.78/1.31 Generated: 5998
% 0.78/1.31 Kept: 4022
% 0.78/1.31 Inuse: 440
% 0.78/1.31 Deleted: 57
% 0.78/1.31 Deletedinuse: 34
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Intermediate Status:
% 0.78/1.31 Generated: 9009
% 0.78/1.31 Kept: 6025
% 0.78/1.31 Inuse: 566
% 0.78/1.31 Deleted: 91
% 0.78/1.31 Deletedinuse: 55
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31 Resimplifying inuse:
% 0.78/1.31 Done
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Bliksems!, er is een bewijs:
% 0.78/1.31 % SZS status Unsatisfiable
% 0.78/1.31 % SZS output start Refutation
% 0.78/1.31
% 0.78/1.31 clause( 0, [ product( identity, X, X ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.78/1.31 ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.78/1.31 U, W ), ~( product( Z, T, W ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.78/1.31 T, W ), ~( product( Y, T, U ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.78/1.31 ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7, [ equalish( a, b ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 8, [ ~( equalish( inverse( a ), inverse( b ) ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 17, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) ) ]
% 0.78/1.31 )
% 0.78/1.31 .
% 0.78/1.31 clause( 22, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.78/1.31 ~( product( T, X, U ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.78/1.31 , identity ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 32, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.78/1.31 product( X, Z, T ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 33, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 .
% 0.78/1.31 clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 49, [ product( identity, a, b ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X,
% 0.78/1.31 Y ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2571, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2572, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2761, [ product( X, identity, X ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 2784, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 3128, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 .
% 0.78/1.31 clause( 6530, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 6536, [ product( X, inverse( X ), identity ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 6542, [ product( identity, identity, multiply( b, inverse( a ) ) )
% 0.78/1.31 ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7043, [ equalish( multiply( b, inverse( a ) ), identity ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7129, [ product( b, inverse( a ), identity ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7136, [ product( inverse( b ), identity, inverse( a ) ) ] )
% 0.78/1.31 .
% 0.78/1.31 clause( 7157, [] )
% 0.78/1.31 .
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 % SZS output end Refutation
% 0.78/1.31 found a proof!
% 0.78/1.31
% 0.78/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.31
% 0.78/1.31 initialclauses(
% 0.78/1.31 [ clause( 7159, [ product( identity, X, X ) ] )
% 0.78/1.31 , clause( 7160, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , clause( 7161, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , clause( 7162, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.78/1.31 equalish( Z, T ) ] )
% 0.78/1.31 , clause( 7163, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.78/1.31 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.78/1.31 , clause( 7164, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.78/1.31 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.78/1.31 , clause( 7165, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.78/1.31 Z, T, Y ) ] )
% 0.78/1.31 , clause( 7166, [ equalish( a, b ) ] )
% 0.78/1.31 , clause( 7167, [ ~( equalish( inverse( a ), inverse( b ) ) ) ] )
% 0.78/1.31 ] ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 0, [ product( identity, X, X ) ] )
% 0.78/1.31 , clause( 7159, [ product( identity, X, X ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , clause( 7160, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , clause( 7161, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.78/1.31 ) ) ] )
% 0.78/1.31 , clause( 7162, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.78/1.31 equalish( Z, T ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.78/1.31 U, W ), ~( product( Z, T, W ) ) ] )
% 0.78/1.31 , clause( 7163, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.78/1.31 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.78/1.31 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.78/1.31 , 3 ), ==>( 3, 2 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z,
% 0.78/1.31 T, W ), ~( product( Y, T, U ) ) ] )
% 0.78/1.31 , clause( 7164, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.78/1.31 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.78/1.31 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.78/1.31 , 1 ), ==>( 3, 2 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.78/1.31 ) ) ] )
% 0.78/1.31 , clause( 7165, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.78/1.31 Z, T, Y ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7, [ equalish( a, b ) ] )
% 0.78/1.31 , clause( 7166, [ equalish( a, b ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 8, [ ~( equalish( inverse( a ), inverse( b ) ) ) ] )
% 0.78/1.31 , clause( 7167, [ ~( equalish( inverse( a ), inverse( b ) ) ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7211, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) )
% 0.78/1.31 ] )
% 0.78/1.31 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.78/1.31 , T ) ) ] )
% 0.78/1.31 , 2, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X ), :=(
% 0.78/1.31 T, identity )] ), substitution( 1, [ :=( X, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 17, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 7211, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X )
% 0.78/1.31 ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 ), ==>( 1, 1 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7214, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.78/1.31 T, Z, multiply( U, Y ) ) ] )
% 0.78/1.31 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.78/1.31 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.78/1.31 , 3, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, U ), :=( T, Y ),
% 0.78/1.31 :=( U, Z ), :=( W, multiply( U, Y ) )] ), substitution( 1, [ :=( X, U ),
% 0.78/1.31 :=( Y, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 22, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.78/1.31 ~( product( T, X, U ) ) ] )
% 0.78/1.31 , clause( 7214, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.78/1.31 T, Z, multiply( U, Y ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.78/1.31 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7219, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.78/1.31 product( T, Z, Y ) ] )
% 0.78/1.31 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.78/1.31 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.78/1.31 , 3, clause( 0, [ product( identity, X, X ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 0.78/1.31 ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.78/1.31 , identity ) ) ] )
% 0.78/1.31 , clause( 7219, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ),
% 0.78/1.31 product( T, Z, Y ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7225, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.78/1.31 product( Y, Z, T ) ] )
% 0.78/1.31 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.78/1.31 , T, W ), ~( product( Y, T, U ) ) ] )
% 0.78/1.31 , 3, clause( 0, [ product( identity, X, X ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, Z
% 0.78/1.31 ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, Z )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 32, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.78/1.31 product( X, Z, T ) ) ] )
% 0.78/1.31 , clause( 7225, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.78/1.31 product( Y, Z, T ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 factor(
% 0.78/1.31 clause( 7229, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 32, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~(
% 0.78/1.31 product( X, Z, T ) ) ] )
% 0.78/1.31 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T
% 0.78/1.31 , Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 33, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 7229, [ ~( product( X, identity, Y ) ), product( Y, identity, Y )
% 0.78/1.31 ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.31 ), ==>( 1, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7230, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.78/1.31 , X ) ) ] )
% 0.78/1.31 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.78/1.31 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.78/1.31 , clause( 7230, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z )
% 0.78/1.31 ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7231, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.78/1.31 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.78/1.31 , X ) ) ] )
% 0.78/1.31 , 2, clause( 0, [ product( identity, X, X ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 0.78/1.31 )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.78/1.31 , clause( 7231, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.31 ), ==>( 1, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7232, [ product( identity, a, b ) ] )
% 0.78/1.31 , clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.78/1.31 , 1, clause( 7, [ equalish( a, b ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 49, [ product( identity, a, b ) ] )
% 0.78/1.31 , clause( 7232, [ product( identity, a, b ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7234, [ ~( product( a, X, Y ) ), product( identity, Y, multiply( b
% 0.78/1.31 , X ) ) ] )
% 0.78/1.31 , clause( 22, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) )
% 0.78/1.31 , ~( product( T, X, U ) ) ] )
% 0.78/1.31 , 2, clause( 49, [ product( identity, a, b ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, identity
% 0.78/1.31 ), :=( U, b )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X,
% 0.78/1.31 Y ) ) ] )
% 0.78/1.31 , clause( 7234, [ ~( product( a, X, Y ) ), product( identity, Y, multiply(
% 0.78/1.31 b, X ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.78/1.31 ), ==>( 1, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7236, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.78/1.31 , clause( 24, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 0.78/1.31 , X, identity ) ) ] )
% 0.78/1.31 , 2, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse(
% 0.78/1.31 X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.31 , clause( 7236, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 0.78/1.31 )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7237, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.78/1.31 , clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 0.78/1.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2571, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.78/1.31 , clause( 7237, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7238, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.78/1.31 , clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 1, [ product( inverse( X ), X, identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.78/1.31 )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2572, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.78/1.31 , clause( 7238, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7239, [ product( X, identity, X ) ] )
% 0.78/1.31 , clause( 33, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 2572, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] ),
% 0.78/1.31 substitution( 1, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2761, [ product( X, identity, X ) ] )
% 0.78/1.31 , clause( 7239, [ product( X, identity, X ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7241, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.78/1.31 , T ) ) ] )
% 0.78/1.31 , 2, clause( 2761, [ product( X, identity, X ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 0.78/1.31 )] ), substitution( 1, [ :=( X, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 2784, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 , clause( 7241, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 ), ==>( 1, 1 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7242, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 2571, [ product( inverse( X ), multiply( X, Y ), Y ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) ),
% 0.78/1.31 :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 3128, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , clause( 7242, [ product( inverse( inverse( X ) ), Y, multiply( X, Y ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.31 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7243, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.31 , clause( 17, [ equalish( X, identity ), ~( product( inverse( Y ), Y, X ) )
% 0.78/1.31 ] )
% 0.78/1.31 , 1, clause( 3128, [ product( inverse( inverse( X ) ), Y, multiply( X, Y )
% 0.78/1.31 ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, multiply( X, inverse( X ) ) ), :=( Y,
% 0.78/1.31 inverse( X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, inverse( X ) )] )
% 0.78/1.31 ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 6530, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.31 , clause( 7243, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7244, [ product( X, inverse( X ), identity ) ] )
% 0.78/1.31 , clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 6530, [ equalish( multiply( X, inverse( X ) ), identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, identity
% 0.78/1.31 )] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 6536, [ product( X, inverse( X ), identity ) ] )
% 0.78/1.31 , clause( 7244, [ product( X, inverse( X ), identity ) ] )
% 0.78/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7245, [ product( identity, identity, multiply( b, inverse( a ) ) )
% 0.78/1.31 ] )
% 0.78/1.31 , clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X
% 0.78/1.31 , Y ) ) ] )
% 0.78/1.31 , 1, clause( 6536, [ product( X, inverse( X ), identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, identity )] ),
% 0.78/1.31 substitution( 1, [ :=( X, a )] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 6542, [ product( identity, identity, multiply( b, inverse( a ) ) )
% 0.78/1.31 ] )
% 0.78/1.31 , clause( 7245, [ product( identity, identity, multiply( b, inverse( a ) )
% 0.78/1.31 ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7246, [ equalish( multiply( b, inverse( a ) ), identity ) ] )
% 0.78/1.31 , clause( 2784, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 , 1, clause( 6542, [ product( identity, identity, multiply( b, inverse( a )
% 0.78/1.31 ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, multiply( b, inverse( a ) ) ), :=( Y,
% 0.78/1.31 identity )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7043, [ equalish( multiply( b, inverse( a ) ), identity ) ] )
% 0.78/1.31 , clause( 7246, [ equalish( multiply( b, inverse( a ) ), identity ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7247, [ product( b, inverse( a ), identity ) ] )
% 0.78/1.31 , clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 7043, [ equalish( multiply( b, inverse( a ) ), identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) ), :=( Z, identity
% 0.78/1.31 )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7129, [ product( b, inverse( a ), identity ) ] )
% 0.78/1.31 , clause( 7247, [ product( b, inverse( a ), identity ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7248, [ product( inverse( b ), identity, inverse( a ) ) ] )
% 0.78/1.31 , clause( 213, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.78/1.31 )
% 0.78/1.31 , 1, clause( 7129, [ product( b, inverse( a ), identity ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) ), :=( Z, identity
% 0.78/1.31 )] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7136, [ product( inverse( b ), identity, inverse( a ) ) ] )
% 0.78/1.31 , clause( 7248, [ product( inverse( b ), identity, inverse( a ) ) ] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7249, [ equalish( inverse( a ), inverse( b ) ) ] )
% 0.78/1.31 , clause( 2784, [ equalish( X, Y ), ~( product( Y, identity, X ) ) ] )
% 0.78/1.31 , 1, clause( 7136, [ product( inverse( b ), identity, inverse( a ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, inverse( b ) )] ),
% 0.78/1.31 substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 resolution(
% 0.78/1.31 clause( 7250, [] )
% 0.78/1.31 , clause( 8, [ ~( equalish( inverse( a ), inverse( b ) ) ) ] )
% 0.78/1.31 , 0, clause( 7249, [ equalish( inverse( a ), inverse( b ) ) ] )
% 0.78/1.31 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 subsumption(
% 0.78/1.31 clause( 7157, [] )
% 0.78/1.31 , clause( 7250, [] )
% 0.78/1.31 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 end.
% 0.78/1.31
% 0.78/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.31
% 0.78/1.31 Memory use:
% 0.78/1.31
% 0.78/1.31 space for terms: 92482
% 0.78/1.31 space for clauses: 384406
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 clauses generated: 10661
% 0.78/1.31 clauses kept: 7158
% 0.78/1.31 clauses selected: 617
% 0.78/1.31 clauses deleted: 126
% 0.78/1.31 clauses inuse deleted: 84
% 0.78/1.31
% 0.78/1.31 subsentry: 46973
% 0.78/1.31 literals s-matched: 19193
% 0.78/1.31 literals matched: 16491
% 0.78/1.31 full subsumption: 1882
% 0.78/1.31
% 0.78/1.31 checksum: -1605958341
% 0.78/1.31
% 0.78/1.31
% 0.78/1.31 Bliksem ended
%------------------------------------------------------------------------------