TSTP Solution File: FLD019-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD019-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 0.86s 1.28s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD019-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 6 21:33:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.28 *** allocated 10000 integers for termspace/termends
% 0.86/1.28 *** allocated 10000 integers for clauses
% 0.86/1.28 *** allocated 10000 integers for justifications
% 0.86/1.28 Bliksem 1.12
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Automatic Strategy Selection
% 0.86/1.28
% 0.86/1.28 Clauses:
% 0.86/1.28 [
% 0.86/1.28 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.86/1.28 , Z ) ) ],
% 0.86/1.28 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.86/1.28 , Z ) ) ],
% 0.86/1.28 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.86/1.28 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.86/1.28 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.86/1.28 ~( product( U, W, Z ) ) ],
% 0.86/1.28 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.86/1.28 ~( product( T, W, Z ) ) ],
% 0.86/1.28 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.86/1.28 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.86/1.28 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.86/1.28 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.86/1.28 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.86/1.28 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.86/1.28 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.86/1.28 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.86/1.28 [ defined( 'additive_identity' ) ],
% 0.86/1.28 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.86/1.28 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ defined( 'multiplicative_identity' ) ],
% 0.86/1.28 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.86/1.28 'additive_identity', X, 'additive_identity' ) ],
% 0.86/1.28 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.86/1.28 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.86/1.28 ) ],
% 0.86/1.28 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.86/1.28 'less_or_equal'( Y, X ) ) ],
% 0.86/1.28 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.86/1.28 'less_or_equal'( Z, Y ) ) ],
% 0.86/1.28 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.86/1.28 ~( defined( Y ) ) ],
% 0.86/1.28 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.86/1.28 ) ), ~( sum( T, U, Y ) ) ],
% 0.86/1.28 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.86/1.28 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.86/1.28 ), ~( product( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.28 'multiplicative_identity' ) ) ],
% 0.86/1.28 [ defined( a ) ],
% 0.86/1.28 [ sum( 'additive_identity', 'additive_inverse'( a ), 'additive_identity'
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.86/1.28 ] .
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 percentage equality = 0.000000, percentage horn = 0.896552
% 0.86/1.28 This a non-horn, non-equality problem
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Options Used:
% 0.86/1.28
% 0.86/1.28 useres = 1
% 0.86/1.28 useparamod = 0
% 0.86/1.28 useeqrefl = 0
% 0.86/1.28 useeqfact = 0
% 0.86/1.28 usefactor = 1
% 0.86/1.28 usesimpsplitting = 0
% 0.86/1.28 usesimpdemod = 0
% 0.86/1.28 usesimpres = 3
% 0.86/1.28
% 0.86/1.28 resimpinuse = 1000
% 0.86/1.28 resimpclauses = 20000
% 0.86/1.28 substype = standard
% 0.86/1.28 backwardsubs = 1
% 0.86/1.28 selectoldest = 5
% 0.86/1.28
% 0.86/1.28 litorderings [0] = split
% 0.86/1.28 litorderings [1] = liftord
% 0.86/1.28
% 0.86/1.28 termordering = none
% 0.86/1.28
% 0.86/1.28 litapriori = 1
% 0.86/1.28 termapriori = 0
% 0.86/1.28 litaposteriori = 0
% 0.86/1.28 termaposteriori = 0
% 0.86/1.28 demodaposteriori = 0
% 0.86/1.28 ordereqreflfact = 0
% 0.86/1.28
% 0.86/1.28 litselect = none
% 0.86/1.28
% 0.86/1.28 maxweight = 15
% 0.86/1.28 maxdepth = 30000
% 0.86/1.28 maxlength = 115
% 0.86/1.28 maxnrvars = 195
% 0.86/1.28 excuselevel = 1
% 0.86/1.28 increasemaxweight = 1
% 0.86/1.28
% 0.86/1.28 maxselected = 10000000
% 0.86/1.28 maxnrclauses = 10000000
% 0.86/1.28
% 0.86/1.28 showgenerated = 0
% 0.86/1.28 showkept = 0
% 0.86/1.28 showselected = 0
% 0.86/1.28 showdeleted = 0
% 0.86/1.28 showresimp = 1
% 0.86/1.28 showstatus = 2000
% 0.86/1.28
% 0.86/1.28 prologoutput = 1
% 0.86/1.28 nrgoals = 5000000
% 0.86/1.28 totalproof = 1
% 0.86/1.28
% 0.86/1.28 Symbols occurring in the translation:
% 0.86/1.28
% 0.86/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.28 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.86/1.28 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.86/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.28 sum [42, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.86/1.28 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.86/1.28 defined [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.86/1.28 'additive_inverse' [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.86/1.28 product [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.28 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.86/1.28 'multiplicative_inverse' [51, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.86/1.28 add [56, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.86/1.28 multiply [57, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.28 'less_or_equal' [58, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.86/1.28 a [59, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Starting Search:
% 0.86/1.28
% 0.86/1.28 Resimplifying inuse:
% 0.86/1.28 Done
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Intermediate Status:
% 0.86/1.28 Generated: 2971
% 0.86/1.28 Kept: 2010
% 0.86/1.28 Inuse: 138
% 0.86/1.28 Deleted: 0
% 0.86/1.28 Deletedinuse: 0
% 0.86/1.28
% 0.86/1.28 Resimplifying inuse:
% 0.86/1.28 Done
% 0.86/1.28
% 0.86/1.28 Resimplifying inuse:
% 0.86/1.28 Done
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Intermediate Status:
% 0.86/1.28 Generated: 5804
% 0.86/1.28 Kept: 4027
% 0.86/1.28 Inuse: 234
% 0.86/1.28 Deleted: 0
% 0.86/1.28 Deletedinuse: 0
% 0.86/1.28
% 0.86/1.28 Resimplifying inuse:
% 0.86/1.28 Done
% 0.86/1.28
% 0.86/1.28 Resimplifying inuse:
% 0.86/1.28 Done
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Bliksems!, er is een bewijs:
% 0.86/1.28 % SZS status Unsatisfiable
% 0.86/1.28 % SZS output start Refutation
% 0.86/1.28
% 0.86/1.28 clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z ) )
% 0.86/1.28 , sum( X, Y, Z ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 1, [ ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W, Z ) )
% 0.86/1.28 , sum( X, Y, Z ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 13, [ defined( 'additive_identity' ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 14, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 26, [ defined( a ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 27, [ sum( 'additive_identity', 'additive_inverse'( a ),
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 61, [ ~( sum( Y, 'additive_inverse'( a ), Z ) ), sum( X, Z,
% 0.86/1.28 'additive_identity' ), ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 66, [ defined( 'additive_inverse'( a ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 81, [ ~( sum( Y, a, Z ) ), ~( sum( X, Z, 'additive_identity' ) ),
% 0.86/1.28 ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 133, [ ~( defined( X ) ), sum( X, 'additive_identity', X ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 4411, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 sum( X, 'additive_inverse'( a ), 'additive_identity' ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 5688, [ ~( defined( a ) ), ~( sum( X, 'additive_identity',
% 0.86/1.28 'additive_identity' ) ) ] )
% 0.86/1.28 .
% 0.86/1.28 clause( 5694, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 .
% 0.86/1.28 clause( 5703, [] )
% 0.86/1.28 .
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 % SZS output end Refutation
% 0.86/1.28 found a proof!
% 0.86/1.28
% 0.86/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.28
% 0.86/1.28 initialclauses(
% 0.86/1.28 [ clause( 5705, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.86/1.28 , ~( sum( U, W, Z ) ) ] )
% 0.86/1.28 , clause( 5706, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.86/1.28 , ~( sum( T, W, Z ) ) ] )
% 0.86/1.28 , clause( 5707, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.86/1.28 , clause( 5708, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.86/1.28 ~( defined( X ) ) ] )
% 0.86/1.28 , clause( 5709, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.86/1.28 , clause( 5710, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.86/1.28 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.86/1.28 , clause( 5711, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.86/1.28 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.86/1.28 , clause( 5712, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 5713, [ product( 'multiplicative_inverse'( X ), X,
% 0.86/1.28 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.86/1.28 'additive_identity' ), ~( defined( X ) ) ] )
% 0.86/1.28 , clause( 5714, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.86/1.28 , clause( 5715, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.86/1.28 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.86/1.28 , clause( 5716, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.86/1.28 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.86/1.28 , clause( 5717, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.86/1.28 ) ) ] )
% 0.86/1.28 , clause( 5718, [ defined( 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5719, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , clause( 5720, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.86/1.28 defined( Y ) ) ] )
% 0.86/1.28 , clause( 5721, [ defined( 'multiplicative_identity' ) ] )
% 0.86/1.28 , clause( 5722, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.86/1.28 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5723, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.86/1.28 Y ) ) ] )
% 0.86/1.28 , clause( 5724, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.86/1.28 defined( Y ) ) ] )
% 0.86/1.28 , clause( 5725, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.86/1.28 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.86/1.28 , clause( 5726, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.86/1.28 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.86/1.28 , clause( 5727, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.86/1.28 defined( X ) ), ~( defined( Y ) ) ] )
% 0.86/1.28 , clause( 5728, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.86/1.28 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.86/1.28 , clause( 5729, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.86/1.28 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.86/1.28 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.86/1.28 , clause( 5730, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.28 'multiplicative_identity' ) ) ] )
% 0.86/1.28 , clause( 5731, [ defined( a ) ] )
% 0.86/1.28 , clause( 5732, [ sum( 'additive_identity', 'additive_inverse'( a ),
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5733, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 ] ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z ) )
% 0.86/1.28 , sum( X, Y, Z ) ] )
% 0.86/1.28 , clause( 5705, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.86/1.28 , ~( sum( U, W, Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.28 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.86/1.28 , 1 ), ==>( 3, 2 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 1, [ ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W, Z ) )
% 0.86/1.28 , sum( X, Y, Z ) ] )
% 0.86/1.28 , clause( 5706, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.86/1.28 , ~( sum( T, W, Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.28 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.86/1.28 , 1 ), ==>( 3, 2 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.28 , clause( 5707, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5708, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.86/1.28 ~( defined( X ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.86/1.28 , clause( 5709, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 13, [ defined( 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5718, [ defined( 'additive_identity' ) ] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 14, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.86/1.28 , clause( 5719, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 26, [ defined( a ) ] )
% 0.86/1.28 , clause( 5731, [ defined( a ) ] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 27, [ sum( 'additive_identity', 'additive_inverse'( a ),
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5732, [ sum( 'additive_identity', 'additive_inverse'( a ),
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5733, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5919, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y,
% 0.86/1.28 'additive_inverse'( a ), Z ) ), sum( X, Z, 'additive_identity' ) ] )
% 0.86/1.28 , clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z )
% 0.86/1.28 ), sum( X, Y, Z ) ] )
% 0.86/1.28 , 2, clause( 27, [ sum( 'additive_identity', 'additive_inverse'( a ),
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, 'additive_identity'
% 0.86/1.28 ), :=( T, Y ), :=( U, 'additive_identity' ), :=( W, 'additive_inverse'(
% 0.86/1.28 a ) )] ), substitution( 1, [] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 61, [ ~( sum( Y, 'additive_inverse'( a ), Z ) ), sum( X, Z,
% 0.86/1.28 'additive_identity' ), ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5919, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y,
% 0.86/1.28 'additive_inverse'( a ), Z ) ), sum( X, Z, 'additive_identity' ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5921, [ defined( 'additive_inverse'( a ) ) ] )
% 0.86/1.28 , clause( 14, [ ~( defined( X ) ), defined( 'additive_inverse'( X ) ) ] )
% 0.86/1.28 , 0, clause( 26, [ defined( a ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 66, [ defined( 'additive_inverse'( a ) ) ] )
% 0.86/1.28 , clause( 5921, [ defined( 'additive_inverse'( a ) ) ] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5922, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, a, Z ) )
% 0.86/1.28 , ~( sum( X, Z, 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , 0, clause( 1, [ ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W, Z
% 0.86/1.28 ) ), sum( X, Y, Z ) ] )
% 0.86/1.28 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )
% 0.86/1.28 , :=( Y, a ), :=( Z, 'additive_identity' ), :=( T, X ), :=( U, Y ), :=( W
% 0.86/1.28 , Z )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 81, [ ~( sum( Y, a, Z ) ), ~( sum( X, Z, 'additive_identity' ) ),
% 0.86/1.28 ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5922, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, a, Z )
% 0.86/1.28 ), ~( sum( X, Z, 'additive_identity' ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.28 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5925, [ sum( X, 'additive_identity', X ), ~( defined( X ) ) ] )
% 0.86/1.28 , clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.86/1.28 , 0, clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.28 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, X
% 0.86/1.28 )] ), substitution( 1, [ :=( X, X )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 133, [ ~( defined( X ) ), sum( X, 'additive_identity', X ) ] )
% 0.86/1.28 , clause( 5925, [ sum( X, 'additive_identity', X ), ~( defined( X ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5926, [ sum( X, 'additive_inverse'( a ), 'additive_identity' ), ~(
% 0.86/1.28 sum( X, 'additive_identity', 'additive_identity' ) ), ~( defined(
% 0.86/1.28 'additive_inverse'( a ) ) ) ] )
% 0.86/1.28 , clause( 61, [ ~( sum( Y, 'additive_inverse'( a ), Z ) ), sum( X, Z,
% 0.86/1.28 'additive_identity' ), ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 , 0, clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.28 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z,
% 0.86/1.28 'additive_inverse'( a ) )] ), substitution( 1, [ :=( X,
% 0.86/1.28 'additive_inverse'( a ) )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5928, [ sum( X, 'additive_inverse'( a ), 'additive_identity' ), ~(
% 0.86/1.28 sum( X, 'additive_identity', 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5926, [ sum( X, 'additive_inverse'( a ), 'additive_identity' ),
% 0.86/1.28 ~( sum( X, 'additive_identity', 'additive_identity' ) ), ~( defined(
% 0.86/1.28 'additive_inverse'( a ) ) ) ] )
% 0.86/1.28 , 2, clause( 66, [ defined( 'additive_inverse'( a ) ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 4411, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 sum( X, 'additive_inverse'( a ), 'additive_identity' ) ] )
% 0.86/1.28 , clause( 5928, [ sum( X, 'additive_inverse'( a ), 'additive_identity' ),
% 0.86/1.28 ~( sum( X, 'additive_identity', 'additive_identity' ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5929, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( sum( X, 'additive_inverse'( a ), 'additive_identity' ) ), ~( defined(
% 0.86/1.28 a ) ) ] )
% 0.86/1.28 , clause( 81, [ ~( sum( Y, a, Z ) ), ~( sum( X, Z, 'additive_identity' ) )
% 0.86/1.28 , ~( sum( X, Y, 'additive_identity' ) ) ] )
% 0.86/1.28 , 0, clause( 3, [ ~( defined( X ) ), sum( 'additive_inverse'( X ), X,
% 0.86/1.28 'additive_identity' ) ] )
% 0.86/1.28 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_inverse'( a ) ), :=( Z
% 0.86/1.28 , 'additive_identity' )] ), substitution( 1, [ :=( X, a )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5932, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( defined( a ) ), ~( sum( X, 'additive_identity', 'additive_identity' )
% 0.86/1.28 ) ] )
% 0.86/1.28 , clause( 5929, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( sum( X, 'additive_inverse'( a ), 'additive_identity' ) ), ~( defined(
% 0.86/1.28 a ) ) ] )
% 0.86/1.28 , 1, clause( 4411, [ ~( sum( X, 'additive_identity', 'additive_identity' )
% 0.86/1.28 ), sum( X, 'additive_inverse'( a ), 'additive_identity' ) ] )
% 0.86/1.28 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.86/1.28 ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 factor(
% 0.86/1.28 clause( 5933, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( defined( a ) ) ] )
% 0.86/1.28 , clause( 5932, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( defined( a ) ), ~( sum( X, 'additive_identity', 'additive_identity' )
% 0.86/1.28 ) ] )
% 0.86/1.28 , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 5688, [ ~( defined( a ) ), ~( sum( X, 'additive_identity',
% 0.86/1.28 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5933, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.28 ~( defined( a ) ) ] )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.28 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5934, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , clause( 5688, [ ~( defined( a ) ), ~( sum( X, 'additive_identity',
% 0.86/1.28 'additive_identity' ) ) ] )
% 0.86/1.28 , 0, clause( 26, [ defined( a ) ] )
% 0.86/1.28 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 5694, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , clause( 5934, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5935, [ ~( defined( 'additive_identity' ) ) ] )
% 0.86/1.28 , clause( 5694, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ) ]
% 0.86/1.28 )
% 0.86/1.28 , 0, clause( 133, [ ~( defined( X ) ), sum( X, 'additive_identity', X ) ]
% 0.86/1.28 )
% 0.86/1.28 , 1, substitution( 0, [ :=( X, 'additive_identity' )] ), substitution( 1, [
% 0.86/1.28 :=( X, 'additive_identity' )] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 resolution(
% 0.86/1.28 clause( 5936, [] )
% 0.86/1.28 , clause( 5935, [ ~( defined( 'additive_identity' ) ) ] )
% 0.86/1.28 , 0, clause( 13, [ defined( 'additive_identity' ) ] )
% 0.86/1.28 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 subsumption(
% 0.86/1.28 clause( 5703, [] )
% 0.86/1.28 , clause( 5936, [] )
% 0.86/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 end.
% 0.86/1.28
% 0.86/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.28
% 0.86/1.28 Memory use:
% 0.86/1.28
% 0.86/1.28 space for terms: 53649
% 0.86/1.28 space for clauses: 277853
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 clauses generated: 9955
% 0.86/1.28 clauses kept: 5704
% 0.86/1.28 clauses selected: 330
% 0.86/1.28 clauses deleted: 3
% 0.86/1.28 clauses inuse deleted: 0
% 0.86/1.28
% 0.86/1.28 subsentry: 32344
% 0.86/1.28 literals s-matched: 11160
% 0.86/1.28 literals matched: 10350
% 0.86/1.28 full subsumption: 8261
% 0.86/1.28
% 0.86/1.28 checksum: -54696594
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Bliksem ended
%------------------------------------------------------------------------------