TSTP Solution File: FLD020-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD020-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 01:50:59 EDT 2022
% Result : Unsatisfiable 0.74s 1.21s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD020-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 7 04:18:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.21 *** allocated 10000 integers for termspace/termends
% 0.74/1.21 *** allocated 10000 integers for clauses
% 0.74/1.21 *** allocated 10000 integers for justifications
% 0.74/1.21 Bliksem 1.12
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Automatic Strategy Selection
% 0.74/1.21
% 0.74/1.21 Clauses:
% 0.74/1.21 [
% 0.74/1.21 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.74/1.21 , Z ) ) ],
% 0.74/1.21 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.74/1.21 , Z ) ) ],
% 0.74/1.21 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.21 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.74/1.21 ) ) ],
% 0.74/1.21 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.74/1.21 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.74/1.21 ~( product( U, W, Z ) ) ],
% 0.74/1.21 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.74/1.21 ~( product( T, W, Z ) ) ],
% 0.74/1.21 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.74/1.21 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.74/1.21 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.74/1.21 ,
% 0.74/1.21 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.74/1.21 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.74/1.21 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.74/1.21 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.74/1.21 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.74/1.21 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.21 [ defined( 'additive_identity' ) ],
% 0.74/1.21 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.74/1.21 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.74/1.21 ,
% 0.74/1.21 [ defined( 'multiplicative_identity' ) ],
% 0.74/1.21 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.74/1.21 'additive_identity', X, 'additive_identity' ) ],
% 0.74/1.21 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.74/1.21 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.74/1.21 ) ],
% 0.74/1.21 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.74/1.21 'less_or_equal'( Y, X ) ) ],
% 0.74/1.21 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.74/1.21 'less_or_equal'( Z, Y ) ) ],
% 0.74/1.21 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.74/1.21 ~( defined( Y ) ) ],
% 0.74/1.21 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.74/1.21 ) ), ~( sum( T, U, Y ) ) ],
% 0.74/1.21 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.74/1.21 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.74/1.21 ), ~( product( Y, Z, X ) ) ],
% 0.74/1.21 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.21 'multiplicative_identity' ) ) ],
% 0.74/1.21 [ defined( a ) ],
% 0.74/1.21 [ defined( m ) ],
% 0.74/1.21 [ sum( m, a, a ) ],
% 0.74/1.21 [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ]
% 0.74/1.21 ] .
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 percentage equality = 0.000000, percentage horn = 0.900000
% 0.74/1.21 This is a near-Horn, non-equality problem
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Options Used:
% 0.74/1.21
% 0.74/1.21 useres = 1
% 0.74/1.21 useparamod = 0
% 0.74/1.21 useeqrefl = 0
% 0.74/1.21 useeqfact = 0
% 0.74/1.21 usefactor = 1
% 0.74/1.21 usesimpsplitting = 0
% 0.74/1.21 usesimpdemod = 0
% 0.74/1.21 usesimpres = 4
% 0.74/1.21
% 0.74/1.21 resimpinuse = 1000
% 0.74/1.21 resimpclauses = 20000
% 0.74/1.21 substype = standard
% 0.74/1.21 backwardsubs = 1
% 0.74/1.21 selectoldest = 5
% 0.74/1.21
% 0.74/1.21 litorderings [0] = split
% 0.74/1.21 litorderings [1] = liftord
% 0.74/1.21
% 0.74/1.21 termordering = none
% 0.74/1.21
% 0.74/1.21 litapriori = 1
% 0.74/1.21 termapriori = 0
% 0.74/1.21 litaposteriori = 0
% 0.74/1.21 termaposteriori = 0
% 0.74/1.21 demodaposteriori = 0
% 0.74/1.21 ordereqreflfact = 0
% 0.74/1.21
% 0.74/1.21 litselect = negative
% 0.74/1.21
% 0.74/1.21 maxweight = 30000
% 0.74/1.21 maxdepth = 30000
% 0.74/1.21 maxlength = 115
% 0.74/1.21 maxnrvars = 195
% 0.74/1.21 excuselevel = 0
% 0.74/1.21 increasemaxweight = 0
% 0.74/1.21
% 0.74/1.21 maxselected = 10000000
% 0.74/1.21 maxnrclauses = 10000000
% 0.74/1.21
% 0.74/1.21 showgenerated = 0
% 0.74/1.21 showkept = 0
% 0.74/1.21 showselected = 0
% 0.74/1.21 showdeleted = 0
% 0.74/1.21 showresimp = 1
% 0.74/1.21 showstatus = 2000
% 0.74/1.21
% 0.74/1.21 prologoutput = 1
% 0.74/1.21 nrgoals = 5000000
% 0.74/1.21 totalproof = 1
% 0.74/1.21
% 0.74/1.21 Symbols occurring in the translation:
% 0.74/1.21
% 0.74/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.21 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.74/1.21 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.21 sum [42, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.21 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.21 defined [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.21 'additive_inverse' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.21 product [49, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.21 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.21 'multiplicative_inverse' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.21 add [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.21 multiply [57, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.21 'less_or_equal' [58, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.21 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.21 m [60, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Starting Search:
% 0.74/1.21
% 0.74/1.21 Resimplifying inuse:
% 0.74/1.21 Done
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Intermediate Status:
% 0.74/1.21 Generated: 2332
% 0.74/1.21 Kept: 2011
% 0.74/1.21 Inuse: 203
% 0.74/1.21 Deleted: 0
% 0.74/1.21 Deletedinuse: 0
% 0.74/1.21
% 0.74/1.21 Resimplifying inuse:
% 0.74/1.21 Done
% 0.74/1.21
% 0.74/1.21 Resimplifying inuse:
% 0.74/1.21 Done
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Intermediate Status:
% 0.74/1.21 Generated: 4695
% 0.74/1.21 Kept: 4101
% 0.74/1.21 Inuse: 333
% 0.74/1.21 Deleted: 4
% 0.74/1.21 Deletedinuse: 0
% 0.74/1.21
% 0.74/1.21 Resimplifying inuse:
% 0.74/1.21 Done
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Bliksems!, er is een bewijs:
% 0.74/1.21 % SZS status Unsatisfiable
% 0.74/1.21 % SZS output start Refutation
% 0.74/1.21
% 0.74/1.21 clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ), ~(
% 0.74/1.21 sum( U, Y, W ) ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~(
% 0.74/1.21 defined( X ) ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 26, [ defined( a ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 28, [ sum( m, a, a ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 29, [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 86, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 103, [ sum( a, m, a ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 113, [ ~( sum( X, a, Y ) ), sum( Y, m, Z ), ~( sum( X, a, Z ) ) ]
% 0.74/1.21 )
% 0.74/1.21 .
% 0.74/1.21 clause( 115, [ sum( Y, m, Y ), ~( sum( X, a, Y ) ) ] )
% 0.74/1.21 .
% 0.74/1.21 clause( 4738, [] )
% 0.74/1.21 .
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 % SZS output end Refutation
% 0.74/1.21 found a proof!
% 0.74/1.21
% 0.74/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.21
% 0.74/1.21 initialclauses(
% 0.74/1.21 [ clause( 4740, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.74/1.21 , ~( sum( U, W, Z ) ) ] )
% 0.74/1.21 , clause( 4741, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.74/1.21 , ~( sum( T, W, Z ) ) ] )
% 0.74/1.21 , clause( 4742, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.74/1.21 , clause( 4743, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.74/1.21 ~( defined( X ) ) ] )
% 0.74/1.21 , clause( 4744, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.21 , clause( 4745, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.74/1.21 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.74/1.21 , clause( 4746, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.74/1.21 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.74/1.21 , clause( 4747, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.74/1.21 ) ) ] )
% 0.74/1.21 , clause( 4748, [ product( 'multiplicative_inverse'( X ), X,
% 0.74/1.21 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.74/1.21 'additive_identity' ), ~( defined( X ) ) ] )
% 0.74/1.21 , clause( 4749, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.74/1.21 , clause( 4750, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.74/1.21 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.74/1.21 , clause( 4751, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.74/1.21 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.74/1.21 , clause( 4752, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.74/1.21 ) ) ] )
% 0.74/1.21 , clause( 4753, [ defined( 'additive_identity' ) ] )
% 0.74/1.21 , clause( 4754, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , clause( 4755, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.74/1.21 defined( Y ) ) ] )
% 0.74/1.21 , clause( 4756, [ defined( 'multiplicative_identity' ) ] )
% 0.74/1.21 , clause( 4757, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.74/1.21 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.74/1.21 , clause( 4758, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.74/1.21 Y ) ) ] )
% 0.74/1.21 , clause( 4759, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.74/1.21 defined( Y ) ) ] )
% 0.74/1.21 , clause( 4760, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.74/1.21 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.74/1.21 , clause( 4761, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.74/1.21 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.74/1.21 , clause( 4762, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.74/1.21 defined( X ) ), ~( defined( Y ) ) ] )
% 0.74/1.21 , clause( 4763, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.74/1.21 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.74/1.21 , clause( 4764, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.74/1.21 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.74/1.21 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.74/1.21 , clause( 4765, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.74/1.21 'multiplicative_identity' ) ) ] )
% 0.74/1.21 , clause( 4766, [ defined( a ) ] )
% 0.74/1.21 , clause( 4767, [ defined( m ) ] )
% 0.74/1.21 , clause( 4768, [ sum( m, a, a ) ] )
% 0.74/1.21 , clause( 4769, [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ]
% 0.74/1.21 )
% 0.74/1.21 ] ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ), ~(
% 0.74/1.21 sum( U, Y, W ) ) ] )
% 0.74/1.21 , clause( 4741, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.74/1.21 , ~( sum( T, W, Z ) ) ] )
% 0.74/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.21 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.74/1.21 , 3 ), ==>( 3, 2 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~(
% 0.74/1.21 defined( X ) ) ] )
% 0.74/1.21 , clause( 4743, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.74/1.21 ~( defined( X ) ) ] )
% 0.74/1.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.74/1.21 1 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.21 , clause( 4744, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 26, [ defined( a ) ] )
% 0.74/1.21 , clause( 4766, [ defined( a ) ] )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 28, [ sum( m, a, a ) ] )
% 0.74/1.21 , clause( 4768, [ sum( m, a, a ) ] )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 29, [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ] )
% 0.74/1.21 , clause( 4769, [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 resolution(
% 0.74/1.21 clause( 4893, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ] )
% 0.74/1.21 , clause( 3, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~(
% 0.74/1.21 defined( X ) ) ] )
% 0.74/1.21 , 1, clause( 26, [ defined( a ) ] )
% 0.74/1.21 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 86, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ] )
% 0.74/1.21 , clause( 4893, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ]
% 0.74/1.21 )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 resolution(
% 0.74/1.21 clause( 4894, [ sum( a, m, a ) ] )
% 0.74/1.21 , clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.74/1.21 , 1, clause( 28, [ sum( m, a, a ) ] )
% 0.74/1.21 , 0, substitution( 0, [ :=( X, a ), :=( Y, m ), :=( Z, a )] ),
% 0.74/1.21 substitution( 1, [] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 103, [ sum( a, m, a ) ] )
% 0.74/1.21 , clause( 4894, [ sum( a, m, a ) ] )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 resolution(
% 0.74/1.21 clause( 4897, [ ~( sum( X, a, Y ) ), sum( Y, m, Z ), ~( sum( X, a, Z ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ),
% 0.74/1.21 ~( sum( U, Y, W ) ) ] )
% 0.74/1.21 , 3, clause( 103, [ sum( a, m, a ) ] )
% 0.74/1.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, m ), :=( Z, Z ), :=( T, X ),
% 0.74/1.21 :=( U, a ), :=( W, a )] ), substitution( 1, [] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 113, [ ~( sum( X, a, Y ) ), sum( Y, m, Z ), ~( sum( X, a, Z ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , clause( 4897, [ ~( sum( X, a, Y ) ), sum( Y, m, Z ), ~( sum( X, a, Z ) )
% 0.74/1.21 ] )
% 0.74/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 factor(
% 0.74/1.21 clause( 4900, [ ~( sum( X, a, Y ) ), sum( Y, m, Y ) ] )
% 0.74/1.21 , clause( 113, [ ~( sum( X, a, Y ) ), sum( Y, m, Z ), ~( sum( X, a, Z ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 115, [ sum( Y, m, Y ), ~( sum( X, a, Y ) ) ] )
% 0.74/1.21 , clause( 4900, [ ~( sum( X, a, Y ) ), sum( Y, m, Y ) ] )
% 0.74/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.21 ), ==>( 1, 0 )] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 resolution(
% 0.74/1.21 clause( 4901, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.74/1.21 , clause( 115, [ sum( Y, m, Y ), ~( sum( X, a, Y ) ) ] )
% 0.74/1.21 , 1, clause( 86, [ sum( 'additive_inverse'( a ), a, 'additive_identity' ) ]
% 0.74/1.21 )
% 0.74/1.21 , 0, substitution( 0, [ :=( X, 'additive_inverse'( a ) ), :=( Y,
% 0.74/1.21 'additive_identity' )] ), substitution( 1, [] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 resolution(
% 0.74/1.21 clause( 4902, [] )
% 0.74/1.21 , clause( 29, [ ~( sum( 'additive_identity', m, 'additive_identity' ) ) ]
% 0.74/1.21 )
% 0.74/1.21 , 0, clause( 4901, [ sum( 'additive_identity', m, 'additive_identity' ) ]
% 0.74/1.21 )
% 0.74/1.21 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 subsumption(
% 0.74/1.21 clause( 4738, [] )
% 0.74/1.21 , clause( 4902, [] )
% 0.74/1.21 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 end.
% 0.74/1.21
% 0.74/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.21
% 0.74/1.21 Memory use:
% 0.74/1.21
% 0.74/1.21 space for terms: 58759
% 0.74/1.21 space for clauses: 349098
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 clauses generated: 5388
% 0.74/1.21 clauses kept: 4739
% 0.74/1.21 clauses selected: 372
% 0.74/1.21 clauses deleted: 4
% 0.74/1.21 clauses inuse deleted: 0
% 0.74/1.21
% 0.74/1.21 subsentry: 5606
% 0.74/1.21 literals s-matched: 2431
% 0.74/1.21 literals matched: 1951
% 0.74/1.21 full subsumption: 928
% 0.74/1.21
% 0.74/1.21 checksum: 1764142041
% 0.74/1.21
% 0.74/1.21
% 0.74/1.21 Bliksem ended
%------------------------------------------------------------------------------