TSTP Solution File: FLD010-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 01:50:54 EDT 2022
% Result : Unsatisfiable 0.74s 1.15s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n017.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 7 01:14:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.74/1.15 *** allocated 10000 integers for termspace/termends
% 0.74/1.15 *** allocated 10000 integers for clauses
% 0.74/1.15 *** allocated 10000 integers for justifications
% 0.74/1.15 Bliksem 1.12
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Automatic Strategy Selection
% 0.74/1.15
% 0.74/1.15 Clauses:
% 0.74/1.15 [
% 0.74/1.15 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.74/1.15 , Z ) ) ],
% 0.74/1.15 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.74/1.15 , Z ) ) ],
% 0.74/1.15 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.15 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.74/1.15 ) ) ],
% 0.74/1.15 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.74/1.15 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.74/1.15 ~( product( U, W, Z ) ) ],
% 0.74/1.15 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.74/1.15 ~( product( T, W, Z ) ) ],
% 0.74/1.15 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.15 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.74/1.15 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.74/1.15 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.74/1.15 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.74/1.15 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.74/1.15 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.74/1.15 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.15 [ defined( 'additive_identity' ) ],
% 0.74/1.15 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.74/1.15 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ defined( 'multiplicative_identity' ) ],
% 0.74/1.15 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.74/1.15 'additive_identity', X, 'additive_identity' ) ],
% 0.74/1.15 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.15 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.74/1.15 ) ],
% 0.74/1.15 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.74/1.15 'less_or_equal'( Y, X ) ) ],
% 0.74/1.15 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.74/1.15 'less_or_equal'( Z, Y ) ) ],
% 0.74/1.15 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.74/1.15 ~( defined( Y ) ) ],
% 0.74/1.15 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.74/1.15 ) ), ~( sum( T, U, Y ) ) ],
% 0.74/1.15 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.74/1.15 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.74/1.15 ), ~( product( Y, Z, X ) ) ],
% 0.74/1.15 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ],
% 0.74/1.15 [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ],
% 0.74/1.15 [ ~( product( 'multiplicative_identity', 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity' ) ) ]
% 0.74/1.15 ] .
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 percentage equality = 0.000000, percentage horn = 0.892857
% 0.74/1.15 This a non-horn, non-equality problem
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Options Used:
% 0.74/1.15
% 0.74/1.15 useres = 1
% 0.74/1.15 useparamod = 0
% 0.74/1.15 useeqrefl = 0
% 0.74/1.15 useeqfact = 0
% 0.74/1.15 usefactor = 1
% 0.74/1.15 usesimpsplitting = 0
% 0.74/1.15 usesimpdemod = 0
% 0.74/1.15 usesimpres = 3
% 0.74/1.15
% 0.74/1.15 resimpinuse = 1000
% 0.74/1.15 resimpclauses = 20000
% 0.74/1.15 substype = standard
% 0.74/1.15 backwardsubs = 1
% 0.74/1.15 selectoldest = 5
% 0.74/1.15
% 0.74/1.15 litorderings [0] = split
% 0.74/1.15 litorderings [1] = liftord
% 0.74/1.15
% 0.74/1.15 termordering = none
% 0.74/1.15
% 0.74/1.15 litapriori = 1
% 0.74/1.15 termapriori = 0
% 0.74/1.15 litaposteriori = 0
% 0.74/1.15 termaposteriori = 0
% 0.74/1.15 demodaposteriori = 0
% 0.74/1.15 ordereqreflfact = 0
% 0.74/1.15
% 0.74/1.15 litselect = none
% 0.74/1.15
% 0.74/1.15 maxweight = 15
% 0.74/1.15 maxdepth = 30000
% 0.74/1.15 maxlength = 115
% 0.74/1.15 maxnrvars = 195
% 0.74/1.15 excuselevel = 1
% 0.74/1.15 increasemaxweight = 1
% 0.74/1.15
% 0.74/1.15 maxselected = 10000000
% 0.74/1.15 maxnrclauses = 10000000
% 0.74/1.15
% 0.74/1.15 showgenerated = 0
% 0.74/1.15 showkept = 0
% 0.74/1.15 showselected = 0
% 0.74/1.15 showdeleted = 0
% 0.74/1.15 showresimp = 1
% 0.74/1.15 showstatus = 2000
% 0.74/1.15
% 0.74/1.15 prologoutput = 1
% 0.74/1.15 nrgoals = 5000000
% 0.74/1.15 totalproof = 1
% 0.74/1.15
% 0.74/1.15 Symbols occurring in the translation:
% 0.74/1.15
% 0.74/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.15 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.15 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.74/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 sum [42, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.15 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.15 defined [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.15 'additive_inverse' [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.15 product [49, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.15 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.15 'multiplicative_inverse' [51, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.15 add [56, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.15 multiply [57, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.15 'less_or_equal' [58, 2] (w:1, o:55, a:1, s:1, b:0).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Starting Search:
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Bliksems!, er is een bewijs:
% 0.74/1.15 % SZS status Unsatisfiable
% 0.74/1.15 % SZS output start Refutation
% 0.74/1.15
% 0.74/1.15 clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), ~( defined(
% 0.74/1.15 X ) ), product( 'multiplicative_inverse'( X ), X,
% 0.74/1.15 'multiplicative_identity' ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 9, [ ~( product( Y, X, Z ) ), product( X, Y, Z ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 26, [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 27, [ ~( product( 'multiplicative_identity',
% 0.74/1.15 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 270, [ ~( product( 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 281, [ ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 286, [] )
% 0.74/1.15 .
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 % SZS output end Refutation
% 0.74/1.15 found a proof!
% 0.74/1.15
% 0.74/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.15
% 0.74/1.15 initialclauses(
% 0.74/1.15 [ clause( 288, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ),
% 0.74/1.15 ~( sum( U, W, Z ) ) ] )
% 0.74/1.15 , clause( 289, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ),
% 0.74/1.15 ~( sum( T, W, Z ) ) ] )
% 0.74/1.15 , clause( 290, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.74/1.15 , clause( 291, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.74/1.15 ~( defined( X ) ) ] )
% 0.74/1.15 , clause( 292, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.15 , clause( 293, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T
% 0.74/1.15 , W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.74/1.15 , clause( 294, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U
% 0.74/1.15 , Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.74/1.15 , clause( 295, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.74/1.15 ) ) ] )
% 0.74/1.15 , clause( 296, [ product( 'multiplicative_inverse'( X ), X,
% 0.74/1.15 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.74/1.15 'additive_identity' ), ~( defined( X ) ) ] )
% 0.74/1.15 , clause( 297, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.74/1.15 , clause( 298, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.74/1.15 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.74/1.15 , clause( 299, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.74/1.15 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.74/1.15 , clause( 300, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.74/1.15 ) ] )
% 0.74/1.15 , clause( 301, [ defined( 'additive_identity' ) ] )
% 0.74/1.15 , clause( 302, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ] )
% 0.74/1.15 , clause( 303, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.74/1.15 Y ) ) ] )
% 0.74/1.15 , clause( 304, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.15 , clause( 305, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.74/1.15 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.74/1.15 , clause( 306, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.74/1.15 ) ) ] )
% 0.74/1.15 , clause( 307, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.74/1.15 defined( Y ) ) ] )
% 0.74/1.15 , clause( 308, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y
% 0.74/1.15 ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.74/1.15 , clause( 309, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.74/1.15 'less_or_equal'( Z, Y ) ) ] )
% 0.74/1.15 , clause( 310, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.74/1.15 defined( X ) ), ~( defined( Y ) ) ] )
% 0.74/1.15 , clause( 311, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~(
% 0.74/1.15 sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.74/1.15 , clause( 312, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.74/1.15 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.74/1.15 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.74/1.15 , clause( 313, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 314, [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ] )
% 0.74/1.15 , clause( 315, [ ~( product( 'multiplicative_identity',
% 0.74/1.15 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 ] ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), ~( defined(
% 0.74/1.15 X ) ), product( 'multiplicative_inverse'( X ), X,
% 0.74/1.15 'multiplicative_identity' ) ] )
% 0.74/1.15 , clause( 296, [ product( 'multiplicative_inverse'( X ), X,
% 0.74/1.15 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.74/1.15 'additive_identity' ), ~( defined( X ) ) ] )
% 0.74/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.74/1.15 0 ), ==>( 2, 1 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 9, [ ~( product( Y, X, Z ) ), product( X, Y, Z ) ] )
% 0.74/1.15 , clause( 297, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.74/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.15 , clause( 304, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 26, [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ] )
% 0.74/1.15 , clause( 314, [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 27, [ ~( product( 'multiplicative_identity',
% 0.74/1.15 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 315, [ ~( product( 'multiplicative_identity',
% 0.74/1.15 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 439, [ ~( product( 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 27, [ ~( product( 'multiplicative_identity',
% 0.74/1.15 'multiplicative_inverse'( 'multiplicative_identity' ),
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , 0, clause( 9, [ ~( product( Y, X, Z ) ), product( X, Y, Z ) ] )
% 0.74/1.15 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.74/1.15 'multiplicative_identity' ), :=( Y, 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ) ), :=( Z, 'multiplicative_identity' )] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 270, [ ~( product( 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 439, [ ~( product( 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 440, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ), ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 270, [ ~( product( 'multiplicative_inverse'(
% 0.74/1.15 'multiplicative_identity' ), 'multiplicative_identity',
% 0.74/1.15 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , 0, clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), ~(
% 0.74/1.15 defined( X ) ), product( 'multiplicative_inverse'( X ), X,
% 0.74/1.15 'multiplicative_identity' ) ] )
% 0.74/1.15 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.74/1.15 'multiplicative_identity' )] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 441, [ ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 26, [ ~( sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ) ) ] )
% 0.74/1.15 , 0, clause( 440, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.74/1.15 'additive_identity' ), ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 281, [ ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , clause( 441, [ ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 442, [] )
% 0.74/1.15 , clause( 281, [ ~( defined( 'multiplicative_identity' ) ) ] )
% 0.74/1.15 , 0, clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 286, [] )
% 0.74/1.15 , clause( 442, [] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 end.
% 0.74/1.15
% 0.74/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.15
% 0.74/1.15 Memory use:
% 0.74/1.15
% 0.74/1.15 space for terms: 4677
% 0.74/1.15 space for clauses: 14882
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 clauses generated: 650
% 0.74/1.15 clauses kept: 287
% 0.74/1.15 clauses selected: 47
% 0.74/1.15 clauses deleted: 1
% 0.74/1.15 clauses inuse deleted: 0
% 0.74/1.15
% 0.74/1.15 subsentry: 5169
% 0.74/1.15 literals s-matched: 2017
% 0.74/1.15 literals matched: 1909
% 0.74/1.15 full subsumption: 1713
% 0.74/1.15
% 0.74/1.15 checksum: 960065924
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Bliksem ended
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