TSTP Solution File: RNG024-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG024-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 20:16:08 EDT 2022
% Result : Unsatisfiable 0.69s 1.10s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG024-7 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon May 30 12:44:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10 [
% 0.69/1.10 [ =( add( 'additive_identity', X ), X ) ],
% 0.69/1.10 [ =( add( X, 'additive_identity' ), X ) ],
% 0.69/1.10 [ =( multiply( 'additive_identity', X ), 'additive_identity' ) ],
% 0.69/1.10 [ =( multiply( X, 'additive_identity' ), 'additive_identity' ) ],
% 0.69/1.10 [ =( add( 'additive_inverse'( X ), X ), 'additive_identity' ) ],
% 0.69/1.10 [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ],
% 0.69/1.10 [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ],
% 0.69/1.10 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.69/1.10 ) ) ],
% 0.69/1.10 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.69/1.10 ) ) ],
% 0.69/1.10 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.69/1.10 [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ],
% 0.69/1.10 [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply( Y, Y ) ) )
% 0.69/1.10 ],
% 0.69/1.10 [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply( X, Y ) ) )
% 0.69/1.10 ],
% 0.69/1.10 [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z ),
% 0.69/1.10 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ],
% 0.69/1.10 [ =( commutator( X, Y ), add( multiply( Y, X ), 'additive_inverse'(
% 0.69/1.10 multiply( X, Y ) ) ) ) ],
% 0.69/1.10 [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'( Y ) ),
% 0.69/1.10 multiply( X, Y ) ) ],
% 0.69/1.10 [ =( multiply( 'additive_inverse'( X ), Y ), 'additive_inverse'(
% 0.69/1.10 multiply( X, Y ) ) ) ],
% 0.69/1.10 [ =( multiply( X, 'additive_inverse'( Y ) ), 'additive_inverse'(
% 0.69/1.10 multiply( X, Y ) ) ) ],
% 0.69/1.10 [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add( multiply( X
% 0.69/1.10 , Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ],
% 0.69/1.10 [ =( multiply( add( X, 'additive_inverse'( Y ) ), Z ), add( multiply( X
% 0.69/1.10 , Z ), 'additive_inverse'( multiply( Y, Z ) ) ) ) ],
% 0.69/1.10 [ =( multiply( 'additive_inverse'( X ), add( Y, Z ) ), add(
% 0.69/1.10 'additive_inverse'( multiply( X, Y ) ), 'additive_inverse'( multiply( X,
% 0.69/1.10 Z ) ) ) ) ],
% 0.69/1.10 [ =( multiply( add( X, Y ), 'additive_inverse'( Z ) ), add(
% 0.69/1.10 'additive_inverse'( multiply( X, Z ) ), 'additive_inverse'( multiply( Y,
% 0.69/1.10 Z ) ) ) ) ],
% 0.69/1.10 [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ]
% 0.69/1.10 ] .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.10 This is a pure equality problem
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Options Used:
% 0.69/1.10
% 0.69/1.10 useres = 1
% 0.69/1.10 useparamod = 1
% 0.69/1.10 useeqrefl = 1
% 0.69/1.10 useeqfact = 1
% 0.69/1.10 usefactor = 1
% 0.69/1.10 usesimpsplitting = 0
% 0.69/1.10 usesimpdemod = 5
% 0.69/1.10 usesimpres = 3
% 0.69/1.10
% 0.69/1.10 resimpinuse = 1000
% 0.69/1.10 resimpclauses = 20000
% 0.69/1.10 substype = eqrewr
% 0.69/1.10 backwardsubs = 1
% 0.69/1.10 selectoldest = 5
% 0.69/1.10
% 0.69/1.10 litorderings [0] = split
% 0.69/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.10
% 0.69/1.10 termordering = kbo
% 0.69/1.10
% 0.69/1.10 litapriori = 0
% 0.69/1.10 termapriori = 1
% 0.69/1.10 litaposteriori = 0
% 0.69/1.10 termaposteriori = 0
% 0.69/1.10 demodaposteriori = 0
% 0.69/1.10 ordereqreflfact = 0
% 0.69/1.10
% 0.69/1.10 litselect = negord
% 0.69/1.10
% 0.69/1.10 maxweight = 15
% 0.69/1.10 maxdepth = 30000
% 0.69/1.10 maxlength = 115
% 0.69/1.10 maxnrvars = 195
% 0.69/1.10 excuselevel = 1
% 0.69/1.10 increasemaxweight = 1
% 0.69/1.10
% 0.69/1.10 maxselected = 10000000
% 0.69/1.10 maxnrclauses = 10000000
% 0.69/1.10
% 0.69/1.10 showgenerated = 0
% 0.69/1.10 showkept = 0
% 0.69/1.10 showselected = 0
% 0.69/1.10 showdeleted = 0
% 0.69/1.10 showresimp = 1
% 0.69/1.10 showstatus = 2000
% 0.69/1.10
% 0.69/1.10 prologoutput = 1
% 0.69/1.10 nrgoals = 5000000
% 0.69/1.10 totalproof = 1
% 0.69/1.10
% 0.69/1.10 Symbols occurring in the translation:
% 0.69/1.10
% 0.69/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.69/1.10 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.69/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.10 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.10 multiply [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.10 'additive_inverse' [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.10 associator [46, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.10 commutator [47, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.10 x [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.10 y [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Starting Search:
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksems!, er is een bewijs:
% 0.69/1.10 % SZS status Unsatisfiable
% 0.69/1.10 % SZS output start Refutation
% 0.69/1.10
% 0.69/1.10 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.69/1.10 )
% 0.69/1.10 .
% 0.69/1.10 clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.69/1.10 ), Y ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.69/1.10 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 22, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 102, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 108, [] )
% 0.69/1.10 .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 % SZS output end Refutation
% 0.69/1.10 found a proof!
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 initialclauses(
% 0.69/1.10 [ clause( 110, [ =( add( 'additive_identity', X ), X ) ] )
% 0.69/1.10 , clause( 111, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.69/1.10 , clause( 112, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 113, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 114, [ =( add( 'additive_inverse'( X ), X ), 'additive_identity'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 115, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.69/1.10 ) ] )
% 0.69/1.10 , clause( 116, [ =( 'additive_inverse'( 'additive_inverse'( X ) ), X ) ] )
% 0.69/1.10 , clause( 117, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.69/1.10 multiply( X, Z ) ) ) ] )
% 0.69/1.10 , clause( 118, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.69/1.10 multiply( Y, Z ) ) ) ] )
% 0.69/1.10 , clause( 119, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.69/1.10 , clause( 120, [ =( add( X, add( Y, Z ) ), add( add( X, Y ), Z ) ) ] )
% 0.69/1.10 , clause( 121, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.69/1.10 Y, Y ) ) ) ] )
% 0.69/1.10 , clause( 122, [ =( multiply( multiply( X, X ), Y ), multiply( X, multiply(
% 0.69/1.10 X, Y ) ) ) ] )
% 0.69/1.10 , clause( 123, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.69/1.10 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.10 , clause( 124, [ =( commutator( X, Y ), add( multiply( Y, X ),
% 0.69/1.10 'additive_inverse'( multiply( X, Y ) ) ) ) ] )
% 0.69/1.10 , clause( 125, [ =( multiply( 'additive_inverse'( X ), 'additive_inverse'(
% 0.69/1.10 Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.10 , clause( 126, [ =( multiply( 'additive_inverse'( X ), Y ),
% 0.69/1.10 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.10 , clause( 127, [ =( multiply( X, 'additive_inverse'( Y ) ),
% 0.69/1.10 'additive_inverse'( multiply( X, Y ) ) ) ] )
% 0.69/1.10 , clause( 128, [ =( multiply( X, add( Y, 'additive_inverse'( Z ) ) ), add(
% 0.69/1.10 multiply( X, Y ), 'additive_inverse'( multiply( X, Z ) ) ) ) ] )
% 0.69/1.10 , clause( 129, [ =( multiply( add( X, 'additive_inverse'( Y ) ), Z ), add(
% 0.69/1.10 multiply( X, Z ), 'additive_inverse'( multiply( Y, Z ) ) ) ) ] )
% 0.69/1.10 , clause( 130, [ =( multiply( 'additive_inverse'( X ), add( Y, Z ) ), add(
% 0.69/1.10 'additive_inverse'( multiply( X, Y ) ), 'additive_inverse'( multiply( X,
% 0.69/1.10 Z ) ) ) ) ] )
% 0.69/1.10 , clause( 131, [ =( multiply( add( X, Y ), 'additive_inverse'( Z ) ), add(
% 0.69/1.10 'additive_inverse'( multiply( X, Z ) ), 'additive_inverse'( multiply( Y,
% 0.69/1.10 Z ) ) ) ) ] )
% 0.69/1.10 , clause( 132, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.69/1.10 ] ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' ) ]
% 0.69/1.10 )
% 0.69/1.10 , clause( 115, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity'
% 0.69/1.10 ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 149, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.69/1.10 ), Y ) ) ] )
% 0.69/1.10 , clause( 121, [ =( multiply( multiply( X, Y ), Y ), multiply( X, multiply(
% 0.69/1.10 Y, Y ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X, Y
% 0.69/1.10 ), Y ) ) ] )
% 0.69/1.10 , clause( 149, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X
% 0.69/1.10 , Y ), Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.10 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 eqswap(
% 0.69/1.10 clause( 162, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.69/1.10 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.69/1.10 , clause( 123, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y )
% 0.69/1.10 , Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.69/1.11 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.69/1.11 , clause( 162, [ =( add( multiply( multiply( X, Y ), Z ),
% 0.69/1.11 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y
% 0.69/1.11 , Z ) ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 22, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.69/1.11 , clause( 132, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 186, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y ), Z
% 0.69/1.11 ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.11 , clause( 13, [ =( add( multiply( multiply( X, Y ), Z ), 'additive_inverse'(
% 0.69/1.11 multiply( X, multiply( Y, Z ) ) ) ), associator( X, Y, Z ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 190, [ =( associator( X, Y, Y ), add( multiply( multiply( X, Y ), Y
% 0.69/1.11 ), 'additive_inverse'( multiply( multiply( X, Y ), Y ) ) ) ) ] )
% 0.69/1.11 , clause( 11, [ =( multiply( X, multiply( Y, Y ) ), multiply( multiply( X,
% 0.69/1.11 Y ), Y ) ) ] )
% 0.69/1.11 , 0, clause( 186, [ =( associator( X, Y, Z ), add( multiply( multiply( X, Y
% 0.69/1.11 ), Z ), 'additive_inverse'( multiply( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.69/1.11 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 paramod(
% 0.69/1.11 clause( 193, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.69/1.11 , clause( 5, [ =( add( X, 'additive_inverse'( X ) ), 'additive_identity' )
% 0.69/1.11 ] )
% 0.69/1.11 , 0, clause( 190, [ =( associator( X, Y, Y ), add( multiply( multiply( X, Y
% 0.69/1.11 ), Y ), 'additive_inverse'( multiply( multiply( X, Y ), Y ) ) ) ) ] )
% 0.69/1.11 , 0, 5, substitution( 0, [ :=( X, multiply( multiply( X, Y ), Y ) )] ),
% 0.69/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 102, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.69/1.11 , clause( 193, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.69/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.11 )] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 195, [ =( 'additive_identity', associator( X, Y, Y ) ) ] )
% 0.69/1.11 , clause( 102, [ =( associator( X, Y, Y ), 'additive_identity' ) ] )
% 0.69/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 eqswap(
% 0.69/1.11 clause( 196, [ ~( =( 'additive_identity', associator( x, y, y ) ) ) ] )
% 0.69/1.11 , clause( 22, [ ~( =( associator( x, y, y ), 'additive_identity' ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] )).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 resolution(
% 0.69/1.11 clause( 197, [] )
% 0.69/1.11 , clause( 196, [ ~( =( 'additive_identity', associator( x, y, y ) ) ) ] )
% 0.69/1.11 , 0, clause( 195, [ =( 'additive_identity', associator( X, Y, Y ) ) ] )
% 0.69/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.69/1.11 ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 subsumption(
% 0.69/1.11 clause( 108, [] )
% 0.69/1.11 , clause( 197, [] )
% 0.69/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 end.
% 0.69/1.11
% 0.69/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.11
% 0.69/1.11 Memory use:
% 0.69/1.11
% 0.69/1.11 space for terms: 1907
% 0.69/1.11 space for clauses: 12863
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 clauses generated: 710
% 0.69/1.11 clauses kept: 109
% 0.69/1.11 clauses selected: 32
% 0.69/1.11 clauses deleted: 1
% 0.69/1.11 clauses inuse deleted: 0
% 0.69/1.11
% 0.69/1.11 subsentry: 429
% 0.69/1.11 literals s-matched: 248
% 0.69/1.11 literals matched: 248
% 0.69/1.11 full subsumption: 0
% 0.69/1.11
% 0.69/1.11 checksum: 275226587
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksem ended
%------------------------------------------------------------------------------