TSTP Solution File: FLD034-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD034-3 : 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 01:51:06 EDT 2022
% Result : Unsatisfiable 0.79s 1.29s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jun 7 03:42:32 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.79/1.29 *** allocated 10000 integers for termspace/termends
% 0.79/1.29 *** allocated 10000 integers for clauses
% 0.79/1.29 *** allocated 10000 integers for justifications
% 0.79/1.29 Bliksem 1.12
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Automatic Strategy Selection
% 0.79/1.29
% 0.79/1.29 Clauses:
% 0.79/1.29 [
% 0.79/1.29 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.79/1.29 , Z ) ) ],
% 0.79/1.29 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.79/1.29 , Z ) ) ],
% 0.79/1.29 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.79/1.29 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.79/1.29 ) ) ],
% 0.79/1.29 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.79/1.29 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.79/1.29 ~( product( U, W, Z ) ) ],
% 0.79/1.29 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.79/1.29 ~( product( T, W, Z ) ) ],
% 0.79/1.29 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.79/1.29 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.79/1.29 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.79/1.29 ,
% 0.79/1.29 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.79/1.29 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.79/1.29 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.79/1.29 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.79/1.29 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.79/1.29 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.79/1.29 [ defined( 'additive_identity' ) ],
% 0.79/1.29 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.79/1.29 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.79/1.29 ,
% 0.79/1.29 [ defined( 'multiplicative_identity' ) ],
% 0.79/1.29 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.79/1.29 'additive_identity', X, 'additive_identity' ) ],
% 0.79/1.29 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.79/1.29 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.79/1.29 ) ],
% 0.79/1.29 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.79/1.29 'less_or_equal'( Y, X ) ) ],
% 0.79/1.29 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.79/1.29 'less_or_equal'( Z, Y ) ) ],
% 0.79/1.29 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.79/1.29 ~( defined( Y ) ) ],
% 0.79/1.29 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.79/1.29 ) ), ~( sum( T, U, Y ) ) ],
% 0.79/1.29 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.79/1.29 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.79/1.29 ), ~( product( Y, Z, X ) ) ],
% 0.79/1.29 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.79/1.29 'multiplicative_identity' ) ) ],
% 0.79/1.29 [ defined( a ) ],
% 0.79/1.29 [ defined( m ) ],
% 0.79/1.29 [ product( 'multiplicative_identity', m, 'multiplicative_identity' ) ]
% 0.79/1.29 ,
% 0.79/1.29 [ ~( product( m, a, a ) ) ]
% 0.79/1.29 ] .
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 percentage equality = 0.000000, percentage horn = 0.900000
% 0.79/1.29 This is a near-Horn, non-equality problem
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Options Used:
% 0.79/1.29
% 0.79/1.29 useres = 1
% 0.79/1.29 useparamod = 0
% 0.79/1.29 useeqrefl = 0
% 0.79/1.29 useeqfact = 0
% 0.79/1.29 usefactor = 1
% 0.79/1.29 usesimpsplitting = 0
% 0.79/1.29 usesimpdemod = 0
% 0.79/1.29 usesimpres = 4
% 0.79/1.29
% 0.79/1.29 resimpinuse = 1000
% 0.79/1.29 resimpclauses = 20000
% 0.79/1.29 substype = standard
% 0.79/1.29 backwardsubs = 1
% 0.79/1.29 selectoldest = 5
% 0.79/1.29
% 0.79/1.29 litorderings [0] = split
% 0.79/1.29 litorderings [1] = liftord
% 0.79/1.29
% 0.79/1.29 termordering = none
% 0.79/1.29
% 0.79/1.29 litapriori = 1
% 0.79/1.29 termapriori = 0
% 0.79/1.29 litaposteriori = 0
% 0.79/1.29 termaposteriori = 0
% 0.79/1.29 demodaposteriori = 0
% 0.79/1.29 ordereqreflfact = 0
% 0.79/1.29
% 0.79/1.29 litselect = negative
% 0.79/1.29
% 0.79/1.29 maxweight = 30000
% 0.79/1.29 maxdepth = 30000
% 0.79/1.29 maxlength = 115
% 0.79/1.29 maxnrvars = 195
% 0.79/1.29 excuselevel = 0
% 0.79/1.29 increasemaxweight = 0
% 0.79/1.29
% 0.79/1.29 maxselected = 10000000
% 0.79/1.29 maxnrclauses = 10000000
% 0.79/1.29
% 0.79/1.29 showgenerated = 0
% 0.79/1.29 showkept = 0
% 0.79/1.29 showselected = 0
% 0.79/1.29 showdeleted = 0
% 0.79/1.29 showresimp = 1
% 0.79/1.29 showstatus = 2000
% 0.79/1.29
% 0.79/1.29 prologoutput = 1
% 0.79/1.29 nrgoals = 5000000
% 0.79/1.29 totalproof = 1
% 0.79/1.29
% 0.79/1.29 Symbols occurring in the translation:
% 0.79/1.29
% 0.79/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.29 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.79/1.29 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.79/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.29 sum [42, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.79/1.29 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.79/1.29 defined [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.79/1.29 'additive_inverse' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.79/1.29 product [49, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.79/1.29 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.79/1.29 'multiplicative_inverse' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.79/1.29 add [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.79/1.29 multiply [57, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.79/1.29 'less_or_equal' [58, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.79/1.29 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.79/1.29 m [60, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Starting Search:
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Intermediate Status:
% 0.79/1.29 Generated: 2374
% 0.79/1.29 Kept: 2067
% 0.79/1.29 Inuse: 201
% 0.79/1.29 Deleted: 0
% 0.79/1.29 Deletedinuse: 0
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Intermediate Status:
% 0.79/1.29 Generated: 4637
% 0.79/1.29 Kept: 4071
% 0.79/1.29 Inuse: 326
% 0.79/1.29 Deleted: 3
% 0.79/1.29 Deletedinuse: 0
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Intermediate Status:
% 0.79/1.29 Generated: 6792
% 0.79/1.29 Kept: 6074
% 0.79/1.29 Inuse: 434
% 0.79/1.29 Deleted: 4
% 0.79/1.29 Deletedinuse: 0
% 0.79/1.29
% 0.79/1.29 Resimplifying inuse:
% 0.79/1.29 Done
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Bliksems!, er is een bewijs:
% 0.79/1.29 % SZS status Unsatisfiable
% 0.79/1.29 % SZS output start Refutation
% 0.79/1.29
% 0.79/1.29 clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T, W
% 0.79/1.29 , Z ) ), ~( product( U, Y, W ) ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 7, [ product( 'multiplicative_identity', X, X ), ~( defined( X ) )
% 0.79/1.29 ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 26, [ defined( a ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 28, [ product( 'multiplicative_identity', m,
% 0.79/1.29 'multiplicative_identity' ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 29, [ ~( product( m, a, a ) ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 130, [ ~( product( X, 'multiplicative_identity', Y ) ), product( Y
% 0.79/1.29 , m, Z ), ~( product( X, 'multiplicative_identity', Z ) ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 131, [ product( Y, m, Y ), ~( product( X, 'multiplicative_identity'
% 0.79/1.29 , Y ) ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 153, [ product( 'multiplicative_identity', a, a ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 185, [ product( a, 'multiplicative_identity', a ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 6064, [ product( a, m, a ) ] )
% 0.79/1.29 .
% 0.79/1.29 clause( 6075, [] )
% 0.79/1.29 .
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 % SZS output end Refutation
% 0.79/1.29 found a proof!
% 0.79/1.29
% 0.79/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.29
% 0.79/1.29 initialclauses(
% 0.79/1.29 [ clause( 6077, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.79/1.29 , ~( sum( U, W, Z ) ) ] )
% 0.79/1.29 , clause( 6078, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.79/1.29 , ~( sum( T, W, Z ) ) ] )
% 0.79/1.29 , clause( 6079, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.79/1.29 , clause( 6080, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.79/1.29 ~( defined( X ) ) ] )
% 0.79/1.29 , clause( 6081, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.79/1.29 , clause( 6082, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.79/1.29 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.79/1.29 , clause( 6083, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.79/1.29 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.79/1.29 , clause( 6084, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.79/1.29 ) ) ] )
% 0.79/1.29 , clause( 6085, [ product( 'multiplicative_inverse'( X ), X,
% 0.79/1.29 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.79/1.29 'additive_identity' ), ~( defined( X ) ) ] )
% 0.79/1.29 , clause( 6086, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 , clause( 6087, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.79/1.29 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.79/1.29 , clause( 6088, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.79/1.29 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.79/1.29 , clause( 6089, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.79/1.29 ) ) ] )
% 0.79/1.29 , clause( 6090, [ defined( 'additive_identity' ) ] )
% 0.79/1.29 , clause( 6091, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.79/1.29 )
% 0.79/1.29 , clause( 6092, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.79/1.29 defined( Y ) ) ] )
% 0.79/1.29 , clause( 6093, [ defined( 'multiplicative_identity' ) ] )
% 0.79/1.29 , clause( 6094, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.79/1.29 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.79/1.29 , clause( 6095, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.79/1.29 Y ) ) ] )
% 0.79/1.29 , clause( 6096, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.79/1.29 defined( Y ) ) ] )
% 0.79/1.29 , clause( 6097, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.79/1.29 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.79/1.29 , clause( 6098, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.79/1.29 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.79/1.29 , clause( 6099, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.79/1.29 defined( X ) ), ~( defined( Y ) ) ] )
% 0.79/1.29 , clause( 6100, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.79/1.29 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.79/1.29 , clause( 6101, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.79/1.29 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.79/1.29 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.79/1.29 , clause( 6102, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.79/1.29 'multiplicative_identity' ) ) ] )
% 0.79/1.29 , clause( 6103, [ defined( a ) ] )
% 0.79/1.29 , clause( 6104, [ defined( m ) ] )
% 0.79/1.29 , clause( 6105, [ product( 'multiplicative_identity', m,
% 0.79/1.29 'multiplicative_identity' ) ] )
% 0.79/1.29 , clause( 6106, [ ~( product( m, a, a ) ) ] )
% 0.79/1.29 ] ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T, W
% 0.79/1.29 , Z ) ), ~( product( U, Y, W ) ) ] )
% 0.79/1.29 , clause( 6083, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.79/1.29 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.79/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.79/1.29 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.79/1.29 , 3 ), ==>( 3, 2 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 7, [ product( 'multiplicative_identity', X, X ), ~( defined( X ) )
% 0.79/1.29 ] )
% 0.79/1.29 , clause( 6084, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.79/1.29 ) ) ] )
% 0.79/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.79/1.29 1 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 , clause( 6086, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 26, [ defined( a ) ] )
% 0.79/1.29 , clause( 6103, [ defined( a ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 28, [ product( 'multiplicative_identity', m,
% 0.79/1.29 'multiplicative_identity' ) ] )
% 0.79/1.29 , clause( 6105, [ product( 'multiplicative_identity', m,
% 0.79/1.29 'multiplicative_identity' ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 29, [ ~( product( m, a, a ) ) ] )
% 0.79/1.29 , clause( 6106, [ ~( product( m, a, a ) ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6256, [ ~( product( X, 'multiplicative_identity', Y ) ), product( Y
% 0.79/1.29 , m, Z ), ~( product( X, 'multiplicative_identity', Z ) ) ] )
% 0.79/1.29 , clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T,
% 0.79/1.29 W, Z ) ), ~( product( U, Y, W ) ) ] )
% 0.79/1.29 , 3, clause( 28, [ product( 'multiplicative_identity', m,
% 0.79/1.29 'multiplicative_identity' ) ] )
% 0.79/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, m ), :=( Z, Z ), :=( T, X ),
% 0.79/1.29 :=( U, 'multiplicative_identity' ), :=( W, 'multiplicative_identity' )] )
% 0.79/1.29 , substitution( 1, [] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 130, [ ~( product( X, 'multiplicative_identity', Y ) ), product( Y
% 0.79/1.29 , m, Z ), ~( product( X, 'multiplicative_identity', Z ) ) ] )
% 0.79/1.29 , clause( 6256, [ ~( product( X, 'multiplicative_identity', Y ) ), product(
% 0.79/1.29 Y, m, Z ), ~( product( X, 'multiplicative_identity', Z ) ) ] )
% 0.79/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 factor(
% 0.79/1.29 clause( 6259, [ ~( product( X, 'multiplicative_identity', Y ) ), product( Y
% 0.79/1.29 , m, Y ) ] )
% 0.79/1.29 , clause( 130, [ ~( product( X, 'multiplicative_identity', Y ) ), product(
% 0.79/1.29 Y, m, Z ), ~( product( X, 'multiplicative_identity', Z ) ) ] )
% 0.79/1.29 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 131, [ product( Y, m, Y ), ~( product( X, 'multiplicative_identity'
% 0.79/1.29 , Y ) ) ] )
% 0.79/1.29 , clause( 6259, [ ~( product( X, 'multiplicative_identity', Y ) ), product(
% 0.79/1.29 Y, m, Y ) ] )
% 0.79/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.79/1.29 ), ==>( 1, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6260, [ product( 'multiplicative_identity', a, a ) ] )
% 0.79/1.29 , clause( 7, [ product( 'multiplicative_identity', X, X ), ~( defined( X )
% 0.79/1.29 ) ] )
% 0.79/1.29 , 1, clause( 26, [ defined( a ) ] )
% 0.79/1.29 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 153, [ product( 'multiplicative_identity', a, a ) ] )
% 0.79/1.29 , clause( 6260, [ product( 'multiplicative_identity', a, a ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6261, [ product( a, 'multiplicative_identity', a ) ] )
% 0.79/1.29 , clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 , 1, clause( 153, [ product( 'multiplicative_identity', a, a ) ] )
% 0.79/1.29 , 0, substitution( 0, [ :=( X, a ), :=( Y, 'multiplicative_identity' ),
% 0.79/1.29 :=( Z, a )] ), substitution( 1, [] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 185, [ product( a, 'multiplicative_identity', a ) ] )
% 0.79/1.29 , clause( 6261, [ product( a, 'multiplicative_identity', a ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6262, [ product( a, m, a ) ] )
% 0.79/1.29 , clause( 131, [ product( Y, m, Y ), ~( product( X,
% 0.79/1.29 'multiplicative_identity', Y ) ) ] )
% 0.79/1.29 , 1, clause( 185, [ product( a, 'multiplicative_identity', a ) ] )
% 0.79/1.29 , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.79/1.29 ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 6064, [ product( a, m, a ) ] )
% 0.79/1.29 , clause( 6262, [ product( a, m, a ) ] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6263, [ product( m, a, a ) ] )
% 0.79/1.29 , clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.79/1.29 , 1, clause( 6064, [ product( a, m, a ) ] )
% 0.79/1.29 , 0, substitution( 0, [ :=( X, m ), :=( Y, a ), :=( Z, a )] ),
% 0.79/1.29 substitution( 1, [] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 resolution(
% 0.79/1.29 clause( 6264, [] )
% 0.79/1.29 , clause( 29, [ ~( product( m, a, a ) ) ] )
% 0.79/1.29 , 0, clause( 6263, [ product( m, a, a ) ] )
% 0.79/1.29 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 subsumption(
% 0.79/1.29 clause( 6075, [] )
% 0.79/1.29 , clause( 6264, [] )
% 0.79/1.29 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 end.
% 0.79/1.29
% 0.79/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.29
% 0.79/1.29 Memory use:
% 0.79/1.29
% 0.79/1.29 space for terms: 74978
% 0.79/1.29 space for clauses: 444953
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 clauses generated: 6797
% 0.79/1.29 clauses kept: 6076
% 0.79/1.29 clauses selected: 435
% 0.79/1.29 clauses deleted: 4
% 0.79/1.29 clauses inuse deleted: 0
% 0.79/1.29
% 0.79/1.29 subsentry: 6776
% 0.79/1.29 literals s-matched: 2951
% 0.79/1.29 literals matched: 2358
% 0.79/1.29 full subsumption: 1162
% 0.79/1.29
% 0.79/1.29 checksum: 2019688990
% 0.79/1.29
% 0.79/1.29
% 0.79/1.29 Bliksem ended
%------------------------------------------------------------------------------