TSTP Solution File: FLD021-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD021-3 : 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 01:51:00 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD021-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.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 Jun 6 13:31:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.72/1.13 , Z ) ) ],
% 0.72/1.13 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.72/1.13 , Z ) ) ],
% 0.72/1.13 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.72/1.13 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.72/1.13 ) ) ],
% 0.72/1.13 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.72/1.13 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.72/1.13 ~( product( U, W, Z ) ) ],
% 0.72/1.13 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.72/1.13 ~( product( T, W, Z ) ) ],
% 0.72/1.13 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.72/1.13 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.72/1.13 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.72/1.13 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.72/1.13 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.72/1.13 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.72/1.13 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.72/1.13 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.72/1.13 [ defined( 'additive_identity' ) ],
% 0.72/1.13 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.72/1.13 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ defined( 'multiplicative_identity' ) ],
% 0.72/1.13 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.72/1.13 'additive_identity', X, 'additive_identity' ) ],
% 0.72/1.13 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.72/1.13 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.72/1.13 ) ],
% 0.72/1.13 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.72/1.13 'less_or_equal'( Y, X ) ) ],
% 0.72/1.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.72/1.13 'less_or_equal'( Z, Y ) ) ],
% 0.72/1.13 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.72/1.13 ~( defined( Y ) ) ],
% 0.72/1.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.72/1.13 ) ), ~( sum( T, U, Y ) ) ],
% 0.72/1.13 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.72/1.13 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.72/1.13 ), ~( product( Y, Z, X ) ) ],
% 0.72/1.13 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.72/1.13 'multiplicative_identity' ) ) ],
% 0.72/1.13 [ defined( a ) ],
% 0.72/1.13 [ defined( m ) ],
% 0.72/1.13 [ sum( 'additive_identity', m, 'additive_identity' ) ],
% 0.72/1.13 [ ~( sum( m, a, a ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.000000, percentage horn = 0.900000
% 0.72/1.13 This is a near-Horn, non-equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 0
% 0.72/1.13 useeqrefl = 0
% 0.72/1.13 useeqfact = 0
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 0
% 0.72/1.13 usesimpres = 4
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = standard
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = liftord
% 0.72/1.13
% 0.72/1.13 termordering = none
% 0.72/1.13
% 0.72/1.13 litapriori = 1
% 0.72/1.13 termapriori = 0
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negative
% 0.72/1.13
% 0.72/1.13 maxweight = 30000
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 0
% 0.72/1.13 increasemaxweight = 0
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 sum [42, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.13 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.13 defined [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.13 'additive_inverse' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.13 product [49, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.13 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.13 'multiplicative_inverse' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.13 add [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.13 multiply [57, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.13 'less_or_equal' [58, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.13 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 m [60, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Intermediate Status:
% 0.72/1.13 Generated: 2384
% 0.72/1.13 Kept: 2072
% 0.72/1.13 Inuse: 201
% 0.72/1.13 Deleted: 0
% 0.72/1.13 Deletedinuse: 0
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ), ~(
% 0.72/1.13 sum( U, Y, W ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 26, [ defined( a ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 28, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 29, [ ~( sum( m, a, a ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 59, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Z ), ~( sum(
% 0.72/1.13 X, 'additive_identity', Z ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 60, [ sum( Y, m, Y ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 67, [ sum( 'additive_identity', a, a ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 102, [ sum( a, 'additive_identity', a ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2689, [ sum( a, m, a ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2712, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 2714, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.72/1.13 , ~( sum( U, W, Z ) ) ] )
% 0.72/1.13 , clause( 2715, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.72/1.13 , ~( sum( T, W, Z ) ) ] )
% 0.72/1.13 , clause( 2716, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.72/1.13 , clause( 2717, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.72/1.13 ~( defined( X ) ) ] )
% 0.72/1.13 , clause( 2718, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 , clause( 2719, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.72/1.13 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.72/1.13 , clause( 2720, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.72/1.13 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.72/1.13 , clause( 2721, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 2722, [ product( 'multiplicative_inverse'( X ), X,
% 0.72/1.13 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.72/1.13 'additive_identity' ), ~( defined( X ) ) ] )
% 0.72/1.13 , clause( 2723, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.72/1.13 , clause( 2724, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.72/1.13 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.72/1.13 , clause( 2725, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.72/1.13 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.72/1.13 , clause( 2726, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.72/1.13 ) ) ] )
% 0.72/1.13 , clause( 2727, [ defined( 'additive_identity' ) ] )
% 0.72/1.13 , clause( 2728, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 2729, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.72/1.13 defined( Y ) ) ] )
% 0.72/1.13 , clause( 2730, [ defined( 'multiplicative_identity' ) ] )
% 0.72/1.13 , clause( 2731, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.72/1.13 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.72/1.13 , clause( 2732, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.72/1.13 Y ) ) ] )
% 0.72/1.13 , clause( 2733, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.72/1.13 defined( Y ) ) ] )
% 0.72/1.13 , clause( 2734, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.72/1.13 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.72/1.13 , clause( 2735, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.72/1.13 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.72/1.13 , clause( 2736, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.72/1.13 defined( X ) ), ~( defined( Y ) ) ] )
% 0.72/1.13 , clause( 2737, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.72/1.13 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.72/1.13 , clause( 2738, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.72/1.13 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.72/1.13 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.72/1.13 , clause( 2739, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.72/1.13 'multiplicative_identity' ) ) ] )
% 0.72/1.13 , clause( 2740, [ defined( a ) ] )
% 0.72/1.13 , clause( 2741, [ defined( m ) ] )
% 0.72/1.13 , clause( 2742, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.72/1.13 , clause( 2743, [ ~( sum( m, a, a ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ), ~(
% 0.72/1.13 sum( U, Y, W ) ) ] )
% 0.72/1.13 , clause( 2715, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.72/1.13 , ~( sum( T, W, Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.13 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.72/1.13 , 3 ), ==>( 3, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.72/1.13 , clause( 2716, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.72/1.13 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 , clause( 2718, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 26, [ defined( a ) ] )
% 0.72/1.13 , clause( 2740, [ defined( a ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 28, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.72/1.13 , clause( 2742, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 29, [ ~( sum( m, a, a ) ) ] )
% 0.72/1.13 , clause( 2743, [ ~( sum( m, a, a ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2869, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Z ), ~(
% 0.72/1.13 sum( X, 'additive_identity', Z ) ) ] )
% 0.72/1.13 , clause( 1, [ ~( sum( T, U, X ) ), sum( X, Y, Z ), ~( sum( T, W, Z ) ),
% 0.72/1.13 ~( sum( U, Y, W ) ) ] )
% 0.72/1.13 , 3, clause( 28, [ sum( 'additive_identity', m, 'additive_identity' ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, m ), :=( Z, Z ), :=( T, X ),
% 0.72/1.13 :=( U, 'additive_identity' ), :=( W, 'additive_identity' )] ),
% 0.72/1.13 substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 59, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Z ), ~( sum(
% 0.72/1.13 X, 'additive_identity', Z ) ) ] )
% 0.72/1.13 , clause( 2869, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Z ),
% 0.72/1.13 ~( sum( X, 'additive_identity', Z ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 factor(
% 0.72/1.13 clause( 2872, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Y ) ] )
% 0.72/1.13 , clause( 59, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Z ), ~(
% 0.72/1.13 sum( X, 'additive_identity', Z ) ) ] )
% 0.72/1.13 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 60, [ sum( Y, m, Y ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 0.72/1.13 , clause( 2872, [ ~( sum( X, 'additive_identity', Y ) ), sum( Y, m, Y ) ]
% 0.72/1.13 )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.13 ), ==>( 1, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2873, [ sum( 'additive_identity', a, a ) ] )
% 0.72/1.13 , clause( 2, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.72/1.13 , 1, clause( 26, [ defined( a ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 67, [ sum( 'additive_identity', a, a ) ] )
% 0.72/1.13 , clause( 2873, [ sum( 'additive_identity', a, a ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2874, [ sum( a, 'additive_identity', a ) ] )
% 0.72/1.13 , clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 , 1, clause( 67, [ sum( 'additive_identity', a, a ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, a ), :=( Y, 'additive_identity' ), :=( Z, a
% 0.72/1.13 )] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 102, [ sum( a, 'additive_identity', a ) ] )
% 0.72/1.13 , clause( 2874, [ sum( a, 'additive_identity', a ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2875, [ sum( a, m, a ) ] )
% 0.72/1.13 , clause( 60, [ sum( Y, m, Y ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 0.72/1.13 , 1, clause( 102, [ sum( a, 'additive_identity', a ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2689, [ sum( a, m, a ) ] )
% 0.72/1.13 , clause( 2875, [ sum( a, m, a ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2876, [ sum( m, a, a ) ] )
% 0.72/1.13 , clause( 4, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.72/1.13 , 1, clause( 2689, [ sum( a, m, a ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, m ), :=( Y, a ), :=( Z, a )] ),
% 0.72/1.13 substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 2877, [] )
% 0.72/1.13 , clause( 29, [ ~( sum( m, a, a ) ) ] )
% 0.72/1.13 , 0, clause( 2876, [ sum( m, a, a ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2712, [] )
% 0.72/1.13 , clause( 2877, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 33609
% 0.72/1.13 space for clauses: 196382
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 3146
% 0.72/1.13 clauses kept: 2713
% 0.72/1.13 clauses selected: 243
% 0.72/1.13 clauses deleted: 1
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 3936
% 0.72/1.13 literals s-matched: 1782
% 0.72/1.13 literals matched: 1412
% 0.72/1.13 full subsumption: 677
% 0.72/1.13
% 0.72/1.13 checksum: -1117080027
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------