TSTP Solution File: RNG023-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Mon Jul 18 20:16:07 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon May 30 22:36:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( add( 'additive_identity', X ), X ) ],
% 0.72/1.12 [ =( add( X, 'additive_identity' ), X ) ],
% 0.72/1.12 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.72/1.12 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.72/1.12 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.72/1.12 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.72/1.12 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.72/1.12 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.72/1.12 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.72/1.12 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.72/1.12 ],
% 0.72/1.12 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.72/1.12 ],
% 0.72/1.12 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.72/1.12 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.72/1.12 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.72/1.12 multiply( X, Y ) ) ) ) ],
% 0.72/1.12 [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 0.72/1.12 multiply( X, Y ) ) ],
% 0.72/1.12 [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.72/1.12 multiply( X, Y ) ) ) ],
% 0.72/1.12 [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.72/1.12 multiply( X, Y ) ) ) ],
% 0.72/1.12 [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add( multiply( X
% 0.72/1.12 , Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ],
% 0.72/1.12 [ =( multiply( add( X, 'additive_inverse'( Y ) ), Z ), add( multiply( X
% 0.72/1.12 , Z ), 'additive_inverse'( multiply( Y, Z ) ) ) ) ],
% 0.72/1.12 [ =( multiply( 'additive_inverse'( X ), add( Y, Z ) ), add(
% 0.72/1.12 'additive_inverse'( multiply( X, Y ) ), 'additive_inverse'( multiply( X,
% 0.72/1.12 Z ) ) ) ) ],
% 0.72/1.12 [ =( multiply( add( X, Y ), 'additive_inverse'( Z ) ), add(
% 0.72/1.12 'additive_inverse'( multiply( X, Z ) ), 'additive_inverse'( multiply( Y,
% 0.72/1.12 Z ) ) ) ) ],
% 0.72/1.12 [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.12 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.12 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.12 'additive_inverse' [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.12 commutator [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.12 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.12 y [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.72/1.12 )
% 0.72/1.12 .
% 0.72/1.12 clause( 12, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.72/1.12 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 22, [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 98, [ =( associator( X, X, Y ), 'additive_identity' ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 108, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 110, [ =( add( 'additive_identity', X ), X ) ] )
% 0.72/1.12 , clause( 111, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.72/1.12 , clause( 112, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 113, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 114, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 115, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.72/1.12 ) ] )
% 0.72/1.12 , clause( 116, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.72/1.12 , clause( 117, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.72/1.12 multiply( X, Z ) ) ) ] )
% 0.72/1.12 , clause( 118, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.72/1.12 multiply( Y, Z ) ) ) ] )
% 0.72/1.12 , clause( 119, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.72/1.12 , clause( 120, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.72/1.12 , clause( 121, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.72/1.12 Y, Y ) ) ) ] )
% 0.72/1.12 , clause( 122, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , clause( 123, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.72/1.12 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.72/1.12 , clause( 124, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.72/1.12 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.72/1.12 , clause( 125, [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'(
% 0.72/1.12 Y ) ), multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 126, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.72/1.12 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 127, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.72/1.12 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 128, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.72/1.12 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.72/1.12 , clause( 129, [ =( multiply( add( X, 'additive_inverse'( Y ) ), Z ), add(
% 0.72/1.12 multiply( X, Z ), 'additive_inverse'( multiply( Y, Z ) ) ) ) ] )
% 0.72/1.12 , clause( 130, [ =( multiply( 'additive_inverse'( X ), add( Y, Z ) ), add(
% 0.72/1.12 'additive_inverse'( multiply( X, Y ) ), 'additive_inverse'( multiply( X,
% 0.72/1.12 Z ) ) ) ) ] )
% 0.72/1.12 , clause( 131, [ =( multiply( add( X, Y ), 'additive_inverse'( Z ) ), add(
% 0.72/1.12 'additive_inverse'( multiply( X, Z ) ), 'additive_inverse'( multiply( Y,
% 0.72/1.12 Z ) ) ) ) ] )
% 0.72/1.12 , clause( 132, [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 115, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.72/1.12 ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 150, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 , clause( 122, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.72/1.12 X, Y ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 12, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X, X
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 , clause( 150, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X
% 0.72/1.12 , X ), Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 163, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.72/1.12 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.72/1.12 , clause( 123, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.72/1.12 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.72/1.12 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.72/1.12 , clause( 163, [ =( add( multiply( multiply( X, Y ), Z ),
% 0.72/1.12 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y
% 0.72/1.12 , Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 22, [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ] )
% 0.72/1.12 , clause( 132, [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 187, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z
% 0.72/1.12 ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.72/1.12 , clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.72/1.12 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 191, [ =( associator( X, X, Y ), add( multiply( multiply( X, X ), Y
% 0.72/1.12 ), 'additive_inverse'( multiply( multiply( X, X ), Y ) ) ) ) ] )
% 0.72/1.12 , clause( 12, [ =( multiply( X, multiply( X, Y ) ), multiply( multiply( X,
% 0.72/1.12 X ), Y ) ) ] )
% 0.72/1.12 , 0, clause( 187, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y
% 0.72/1.12 ), Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.72/1.12 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 193, [ =( associator( X, X, Y ), 'additive_identity' ) ] )
% 0.72/1.12 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.72/1.12 ] )
% 0.72/1.12 , 0, clause( 191, [ =( associator( X, X, Y ), add( multiply( multiply( X, X
% 0.72/1.12 ), Y ), 'additive_inverse'( multiply( multiply( X, X ), Y ) ) ) ) ] )
% 0.72/1.12 , 0, 5, substitution( 0, [ :=( X, multiply( multiply( X, X ), Y ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 98, [ =( associator( X, X, Y ), 'additive_identity' ) ] )
% 0.72/1.12 , clause( 193, [ =( associator( X, X, Y ), 'additive_identity' ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 195, [ =( 'additive_identity', associator( X, X, Y ) ) ] )
% 0.72/1.12 , clause( 98, [ =( associator( X, X, Y ), 'additive_identity' ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 196, [ ~( =( 'additive_identity', associator( x, x, y ) ) ) ] )
% 0.72/1.12 , clause( 22, [ ~( =( associator( x, x, y ), 'additive_identity' ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 resolution(
% 0.72/1.12 clause( 197, [] )
% 0.72/1.12 , clause( 196, [ ~( =( 'additive_identity', associator( x, x, y ) ) ) ] )
% 0.72/1.12 , 0, clause( 195, [ =( 'additive_identity', associator( X, X, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 108, [] )
% 0.72/1.12 , clause( 197, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 1907
% 0.72/1.12 space for clauses: 12863
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 708
% 0.72/1.12 clauses kept: 109
% 0.72/1.12 clauses selected: 31
% 0.72/1.12 clauses deleted: 1
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 427
% 0.72/1.12 literals s-matched: 250
% 0.72/1.12 literals matched: 250
% 0.72/1.12 full subsumption: 0
% 0.72/1.12
% 0.72/1.12 checksum: 275217942
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------