%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 01:51:08 EDT 2022
% Result : Unsatisfiable 0.86s 1.23s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.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 10:45:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.23 *** allocated 10000 integers for termspace/termends
% 0.86/1.23 *** allocated 10000 integers for clauses
% 0.86/1.23 *** allocated 10000 integers for justifications
% 0.86/1.23 Bliksem 1.12
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Automatic Strategy Selection
% 0.86/1.23
% 0.86/1.23 Clauses:
% 0.86/1.23 [
% 0.86/1.23 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.86/1.23 , Z ) ) ],
% 0.86/1.23 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.86/1.23 , Z ) ) ],
% 0.86/1.23 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.86/1.23 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.86/1.23 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.86/1.23 ~( product( U, W, Z ) ) ],
% 0.86/1.23 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.86/1.23 ~( product( T, W, Z ) ) ],
% 0.86/1.23 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.86/1.23 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.86/1.23 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.86/1.23 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.86/1.23 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.86/1.23 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.86/1.23 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.86/1.23 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.86/1.23 [ defined( 'additive_identity' ) ],
% 0.86/1.23 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.86/1.23 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ defined( 'multiplicative_identity' ) ],
% 0.86/1.23 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.86/1.23 'additive_identity', X, 'additive_identity' ) ],
% 0.86/1.23 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.86/1.23 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.86/1.23 ) ],
% 0.86/1.23 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.86/1.23 'less_or_equal'( Y, X ) ) ],
% 0.86/1.23 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.86/1.23 'less_or_equal'( Z, Y ) ) ],
% 0.86/1.23 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.86/1.23 ~( defined( Y ) ) ],
% 0.86/1.23 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.86/1.23 ) ), ~( sum( T, U, Y ) ) ],
% 0.86/1.23 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.86/1.23 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.86/1.23 ), ~( product( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.23 'multiplicative_identity' ) ) ],
% 0.86/1.23 [ defined( a ) ],
% 0.86/1.23 [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ],
% 0.86/1.23 [ sum( 'additive_identity', 'multiplicative_identity',
% 0.86/1.23 'additive_identity' ) ]
% 0.86/1.23 ] .
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 percentage equality = 0.000000, percentage horn = 0.896552
% 0.86/1.23 This a non-horn, non-equality problem
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Options Used:
% 0.86/1.23
% 0.86/1.23 useres = 1
% 0.86/1.23 useparamod = 0
% 0.86/1.23 useeqrefl = 0
% 0.86/1.23 useeqfact = 0
% 0.86/1.23 usefactor = 1
% 0.86/1.23 usesimpsplitting = 0
% 0.86/1.23 usesimpdemod = 0
% 0.86/1.23 usesimpres = 3
% 0.86/1.23
% 0.86/1.23 resimpinuse = 1000
% 0.86/1.23 resimpclauses = 20000
% 0.86/1.23 substype = standard
% 0.86/1.23 backwardsubs = 1
% 0.86/1.23 selectoldest = 5
% 0.86/1.23
% 0.86/1.23 litorderings [0] = split
% 0.86/1.23 litorderings [1] = liftord
% 0.86/1.23
% 0.86/1.23 termordering = none
% 0.86/1.23
% 0.86/1.23 litapriori = 1
% 0.86/1.23 termapriori = 0
% 0.86/1.23 litaposteriori = 0
% 0.86/1.23 termaposteriori = 0
% 0.86/1.23 demodaposteriori = 0
% 0.86/1.23 ordereqreflfact = 0
% 0.86/1.23
% 0.86/1.23 litselect = none
% 0.86/1.23
% 0.86/1.23 maxweight = 15
% 0.86/1.23 maxdepth = 30000
% 0.86/1.23 maxlength = 115
% 0.86/1.23 maxnrvars = 195
% 0.86/1.23 excuselevel = 1
% 0.86/1.23 increasemaxweight = 1
% 0.86/1.23
% 0.86/1.23 maxselected = 10000000
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23
% 0.86/1.23 showgenerated = 0
% 0.86/1.23 showkept = 0
% 0.86/1.23 showselected = 0
% 0.86/1.23 showdeleted = 0
% 0.86/1.23 showresimp = 1
% 0.86/1.23 showstatus = 2000
% 0.86/1.23
% 0.86/1.23 prologoutput = 1
% 0.86/1.23 nrgoals = 5000000
% 0.86/1.23 totalproof = 1
% 0.86/1.23
% 0.86/1.23 Symbols occurring in the translation:
% 0.86/1.23
% 0.86/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.23 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.86/1.23 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.86/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 sum [42, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.86/1.23 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.86/1.23 defined [47, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.86/1.23 'additive_inverse' [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.86/1.23 product [49, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.23 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.86/1.23 'multiplicative_inverse' [51, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.86/1.23 add [56, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.86/1.23 multiply [57, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.23 'less_or_equal' [58, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.86/1.23 a [59, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Intermediate Status:
% 0.86/1.23 Generated: 2971
% 0.86/1.23 Kept: 2008
% 0.86/1.23 Inuse: 138
% 0.86/1.23 Deleted: 0
% 0.86/1.23 Deletedinuse: 0
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Intermediate Status:
% 0.86/1.23 Generated: 5867
% 0.86/1.23 Kept: 4021
% 0.86/1.23 Inuse: 236
% 0.86/1.23 Deleted: 1
% 0.86/1.23 Deletedinuse: 0
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Bliksems!, er is een bewijs:
% 0.86/1.23 % SZS status Unsatisfiable
% 0.86/1.23 % SZS output start Refutation
% 0.86/1.23
% 0.86/1.23 clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z ) )
% 0.86/1.23 , sum( X, Y, Z ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 20, [ ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y, X ) ),
% 0.86/1.23 sum( 'additive_identity', X, Y ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 22, [ ~( defined( X ) ), ~( defined( Y ) ), 'less_or_equal'( Y, X )
% 0.86/1.23 , 'less_or_equal'( X, Y ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum(
% 0.86/1.23 T, U, Y ) ), ~( sum( Z, U, X ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 25, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.23 'multiplicative_identity' ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 28, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.86/1.23 'additive_identity' ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 48, [ ~( 'less_or_equal'( X, X ) ), sum( 'additive_identity', X, X
% 0.86/1.23 ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 49, [ ~( defined( X ) ), 'less_or_equal'( X, X ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 50, [ 'less_or_equal'( X, X ), ~( 'less_or_equal'( Y, Y ) ), ~( sum(
% 0.86/1.23 Y, Z, X ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 57, [ sum( X, 'additive_identity', Z ), ~( sum( Y,
% 0.86/1.23 'multiplicative_identity', Z ) ), ~( sum( X, 'additive_identity', Y ) ) ]
% 0.86/1.23 )
% 0.86/1.23 .
% 0.86/1.23 clause( 62, [ ~( sum( X, Z, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.86/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 142, [ sum( 'multiplicative_identity', 'additive_identity',
% 0.86/1.23 'additive_identity' ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 3452, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.86/1.23 , ~( 'less_or_equal'( 'multiplicative_identity',
% 0.86/1.23 'multiplicative_identity' ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 3457, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.86/1.23 ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 4000, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.86/1.23 sum( X, 'additive_identity', 'multiplicative_identity' ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 4427, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.86/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Z ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 4432, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.23 'additive_identity' ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 4435, [] )
% 0.86/1.23 .
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 % SZS output end Refutation
% 0.86/1.23 found a proof!
% 0.86/1.23
% 0.86/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.23
% 0.86/1.23 initialclauses(
% 0.86/1.23 [ clause( 4437, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.86/1.23 , ~( sum( U, W, Z ) ) ] )
% 0.86/1.23 , clause( 4438, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.86/1.23 , ~( sum( T, W, Z ) ) ] )
% 0.86/1.23 , clause( 4439, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.86/1.23 , clause( 4440, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.86/1.23 ~( defined( X ) ) ] )
% 0.86/1.23 , clause( 4441, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.86/1.23 , clause( 4442, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.86/1.23 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.86/1.23 , clause( 4443, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.86/1.23 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.86/1.23 , clause( 4444, [ product( 'multiplicative_identity', X, X ), ~( defined( X
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , clause( 4445, [ product( 'multiplicative_inverse'( X ), X,
% 0.86/1.23 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.86/1.23 'additive_identity' ), ~( defined( X ) ) ] )
% 0.86/1.23 , clause( 4446, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.86/1.23 , clause( 4447, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z
% 0.86/1.23 ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.86/1.23 , clause( 4448, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y
% 0.86/1.23 , W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.86/1.23 , clause( 4449, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , clause( 4450, [ defined( 'additive_identity' ) ] )
% 0.86/1.23 , clause( 4451, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 4452, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.86/1.23 defined( Y ) ) ] )
% 0.86/1.23 , clause( 4453, [ defined( 'multiplicative_identity' ) ] )
% 0.86/1.23 , clause( 4454, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X )
% 0.86/1.23 ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.86/1.23 , clause( 4455, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.86/1.23 Y ) ) ] )
% 0.86/1.23 , clause( 4456, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.86/1.23 defined( Y ) ) ] )
% 0.86/1.23 , clause( 4457, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.86/1.23 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.86/1.23 , clause( 4458, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.86/1.23 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.86/1.23 , clause( 4459, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.86/1.23 defined( X ) ), ~( defined( Y ) ) ] )
% 0.86/1.23 , clause( 4460, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.86/1.23 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.86/1.23 , clause( 4461, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.86/1.23 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.86/1.23 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.86/1.23 , clause( 4462, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.86/1.23 'multiplicative_identity' ) ) ] )
% 0.86/1.23 , clause( 4463, [ defined( a ) ] )
% 0.86/1.23 , clause( 4464, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 4465, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.86/1.23 'additive_identity' ) ] )
% 0.86/1.23 ] ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z ) )
% 0.86/1.23 , sum( X, Y, Z ) ] )
% 0.86/1.23 , clause( 4437, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.86/1.23 , ~( sum( U, W, Z ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.86/1.23 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.86/1.23 , 1 ), ==>( 3, 2 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.86/1.23 , clause( 4439, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.86/1.23 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.86/1.23 , clause( 4441, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.86/1.23 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.86/1.23 , clause( 4453, [ defined( 'multiplicative_identity' ) ] )
% 0.86/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 20, [ ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y, X ) ),
% 0.86/1.23 sum( 'additive_identity', X, Y ) ] )
% 0.86/1.23 , clause( 4457, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X,
% 0.86/1.23 Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.86/1.23 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 22, [ ~( defined( X ) ), ~( defined( Y ) ), 'less_or_equal'( Y, X )
% 0.86/1.23 , 'less_or_equal'( X, Y ) ] )
% 0.86/1.23 , clause( 4459, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.86/1.23 defined( X ) ), ~( defined( Y ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 0.86/1.23 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum(
% 0.86/1.23 T, U, Y ) ), ~( sum( Z, U, X ) ) ] )
% 0.86/1.23 , clause( 4460, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.86/1.23 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.89/1.23 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3
% 0.89/1.23 , 2 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 25, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 4462, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 28, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , clause( 4465, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4668, [ ~( 'less_or_equal'( X, X ) ), sum( 'additive_identity', X,
% 0.89/1.23 X ) ] )
% 0.89/1.23 , clause( 20, [ ~( 'less_or_equal'( X, Y ) ), ~( 'less_or_equal'( Y, X ) )
% 0.89/1.23 , sum( 'additive_identity', X, Y ) ] )
% 0.89/1.23 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 48, [ ~( 'less_or_equal'( X, X ) ), sum( 'additive_identity', X, X
% 0.89/1.23 ) ] )
% 0.89/1.23 , clause( 4668, [ ~( 'less_or_equal'( X, X ) ), sum( 'additive_identity', X
% 0.89/1.23 , X ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.89/1.23 1 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4670, [ ~( defined( X ) ), ~( defined( X ) ), 'less_or_equal'( X, X
% 0.89/1.23 ) ] )
% 0.89/1.23 , clause( 22, [ ~( defined( X ) ), ~( defined( Y ) ), 'less_or_equal'( Y, X
% 0.89/1.23 ), 'less_or_equal'( X, Y ) ] )
% 0.89/1.23 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4671, [ ~( defined( X ) ), 'less_or_equal'( X, X ) ] )
% 0.89/1.23 , clause( 4670, [ ~( defined( X ) ), ~( defined( X ) ), 'less_or_equal'( X
% 0.89/1.23 , X ) ] )
% 0.89/1.23 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 49, [ ~( defined( X ) ), 'less_or_equal'( X, X ) ] )
% 0.89/1.23 , clause( 4671, [ ~( defined( X ) ), 'less_or_equal'( X, X ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.89/1.23 1 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4672, [ 'less_or_equal'( X, X ), ~( 'less_or_equal'( Y, Y ) ), ~(
% 0.89/1.23 sum( Y, Z, X ) ) ] )
% 0.89/1.23 , clause( 23, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~(
% 0.89/1.23 sum( T, U, Y ) ), ~( sum( Z, U, X ) ) ] )
% 0.89/1.23 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Y ),
% 0.89/1.23 :=( U, Z )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 50, [ 'less_or_equal'( X, X ), ~( 'less_or_equal'( Y, Y ) ), ~( sum(
% 0.89/1.23 Y, Z, X ) ) ] )
% 0.89/1.23 , clause( 4672, [ 'less_or_equal'( X, X ), ~( 'less_or_equal'( Y, Y ) ),
% 0.89/1.23 ~( sum( Y, Z, X ) ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.89/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4674, [ ~( sum( X, 'additive_identity', Y ) ), ~( sum( Y,
% 0.89/1.23 'multiplicative_identity', Z ) ), sum( X, 'additive_identity', Z ) ] )
% 0.89/1.23 , clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z )
% 0.89/1.23 ), sum( X, Y, Z ) ] )
% 0.89/1.23 , 1, clause( 28, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, Z
% 0.89/1.23 ), :=( T, 'additive_identity' ), :=( U, Y ), :=( W,
% 0.89/1.23 'multiplicative_identity' )] ), substitution( 1, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 57, [ sum( X, 'additive_identity', Z ), ~( sum( Y,
% 0.89/1.23 'multiplicative_identity', Z ) ), ~( sum( X, 'additive_identity', Y ) ) ]
% 0.89/1.23 )
% 0.89/1.23 , clause( 4674, [ ~( sum( X, 'additive_identity', Y ) ), ~( sum( Y,
% 0.89/1.23 'multiplicative_identity', Z ) ), sum( X, 'additive_identity', Z ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.89/1.23 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4677, [ ~( sum( 'additive_identity', X, Y ) ), ~( sum( X, Z,
% 0.89/1.23 'additive_identity' ) ), ~( sum( Y, Z, 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 25, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , 0, clause( 0, [ ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W, Z
% 0.89/1.23 ) ), sum( X, Y, Z ) ] )
% 0.89/1.23 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )
% 0.89/1.23 , :=( Y, 'additive_identity' ), :=( Z, 'multiplicative_identity' ), :=( T
% 0.89/1.23 , X ), :=( U, Y ), :=( W, Z )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 62, [ ~( sum( X, Z, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.89/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 0.89/1.23 , clause( 4677, [ ~( sum( 'additive_identity', X, Y ) ), ~( sum( X, Z,
% 0.89/1.23 'additive_identity' ) ), ~( sum( Y, Z, 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.89/1.23 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4679, [ sum( 'multiplicative_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.89/1.23 , 0, clause( 28, [ sum( 'additive_identity', 'multiplicative_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y,
% 0.89/1.23 'additive_identity' ), :=( Z, 'additive_identity' )] ), substitution( 1
% 0.89/1.23 , [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 142, [ sum( 'multiplicative_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , clause( 4679, [ sum( 'multiplicative_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4680, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.89/1.23 , ~( 'less_or_equal'( 'multiplicative_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 50, [ 'less_or_equal'( X, X ), ~( 'less_or_equal'( Y, Y ) ), ~(
% 0.89/1.23 sum( Y, Z, X ) ) ] )
% 0.89/1.23 , 2, clause( 142, [ sum( 'multiplicative_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y,
% 0.89/1.23 'multiplicative_identity' ), :=( Z, 'additive_identity' )] ),
% 0.89/1.23 substitution( 1, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 3452, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.89/1.23 , ~( 'less_or_equal'( 'multiplicative_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 4680, [ 'less_or_equal'( 'additive_identity', 'additive_identity'
% 0.89/1.23 ), ~( 'less_or_equal'( 'multiplicative_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.89/1.23 ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4681, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.89/1.23 , ~( defined( 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 3452, [ 'less_or_equal'( 'additive_identity', 'additive_identity'
% 0.89/1.23 ), ~( 'less_or_equal'( 'multiplicative_identity',
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , 1, clause( 49, [ ~( defined( X ) ), 'less_or_equal'( X, X ) ] )
% 0.89/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.89/1.23 'multiplicative_identity' )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4682, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.89/1.23 ] )
% 0.89/1.23 , clause( 4681, [ 'less_or_equal'( 'additive_identity', 'additive_identity'
% 0.89/1.23 ), ~( defined( 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , 1, clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 3457, [ 'less_or_equal'( 'additive_identity', 'additive_identity' )
% 0.89/1.23 ] )
% 0.89/1.23 , clause( 4682, [ 'less_or_equal'( 'additive_identity', 'additive_identity'
% 0.89/1.23 ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4683, [ sum( X, 'additive_identity', 'multiplicative_identity' ),
% 0.89/1.23 ~( sum( X, 'additive_identity', 'additive_identity' ) ), ~( defined(
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 57, [ sum( X, 'additive_identity', Z ), ~( sum( Y,
% 0.89/1.23 'multiplicative_identity', Z ) ), ~( sum( X, 'additive_identity', Y ) ) ]
% 0.89/1.23 )
% 0.89/1.23 , 1, clause( 2, [ ~( defined( X ) ), sum( 'additive_identity', X, X ) ] )
% 0.89/1.23 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z,
% 0.89/1.23 'multiplicative_identity' )] ), substitution( 1, [ :=( X,
% 0.89/1.23 'multiplicative_identity' )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4685, [ sum( X, 'additive_identity', 'multiplicative_identity' ),
% 0.89/1.23 ~( sum( X, 'additive_identity', 'additive_identity' ) ) ] )
% 0.89/1.23 , clause( 4683, [ sum( X, 'additive_identity', 'multiplicative_identity' )
% 0.89/1.23 , ~( sum( X, 'additive_identity', 'additive_identity' ) ), ~( defined(
% 0.89/1.23 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , 2, clause( 16, [ defined( 'multiplicative_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 4000, [ ~( sum( X, 'additive_identity', 'additive_identity' ) ),
% 0.89/1.23 sum( X, 'additive_identity', 'multiplicative_identity' ) ] )
% 0.89/1.23 , clause( 4685, [ sum( X, 'additive_identity', 'multiplicative_identity' )
% 0.89/1.23 , ~( sum( X, 'additive_identity', 'additive_identity' ) ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.89/1.23 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4687, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum(
% 0.89/1.23 'additive_identity', X, Z ) ), ~( sum( Y, Z, 'multiplicative_identity' )
% 0.89/1.23 ) ] )
% 0.89/1.23 , clause( 62, [ ~( sum( X, Z, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.89/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 0.89/1.23 , 1, clause( 4, [ ~( sum( Y, X, Z ) ), sum( X, Y, Z ) ] )
% 0.89/1.23 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.89/1.23 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z,
% 0.89/1.23 'multiplicative_identity' )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 4427, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.89/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Z ) ) ] )
% 0.89/1.23 , clause( 4687, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum(
% 0.89/1.23 'additive_identity', X, Z ) ), ~( sum( Y, Z, 'multiplicative_identity' )
% 0.89/1.23 ) ] )
% 0.89/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.89/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4693, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ), ~( sum( 'additive_identity', 'additive_identity'
% 0.89/1.23 , 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , clause( 4427, [ ~( sum( X, Y, 'additive_identity' ) ), ~( sum( Y, Z,
% 0.89/1.23 'multiplicative_identity' ) ), ~( sum( 'additive_identity', X, Z ) ) ] )
% 0.89/1.23 , 0, 2, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y,
% 0.89/1.23 'additive_identity' ), :=( Z, 'additive_identity' )] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4695, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ), ~( sum( 'additive_identity', 'additive_identity'
% 0.89/1.23 , 'additive_identity' ) ) ] )
% 0.89/1.23 , clause( 4693, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ), ~( sum( 'additive_identity', 'additive_identity'
% 0.89/1.23 , 'multiplicative_identity' ) ) ] )
% 0.89/1.23 , 1, clause( 4000, [ ~( sum( X, 'additive_identity', 'additive_identity' )
% 0.89/1.23 ), sum( X, 'additive_identity', 'multiplicative_identity' ) ] )
% 0.89/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 0.89/1.23 ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 factor(
% 0.89/1.23 clause( 4696, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , clause( 4695, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ), ~( sum( 'additive_identity', 'additive_identity'
% 0.89/1.23 , 'additive_identity' ) ) ] )
% 0.89/1.23 , 0, 1, substitution( 0, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 4432, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , clause( 4696, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4697, [ ~( 'less_or_equal'( 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , clause( 4432, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , 0, clause( 48, [ ~( 'less_or_equal'( X, X ) ), sum( 'additive_identity',
% 0.89/1.23 X, X ) ] )
% 0.89/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'additive_identity' )] )
% 0.89/1.23 ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 resolution(
% 0.89/1.23 clause( 4698, [] )
% 0.89/1.23 , clause( 4697, [ ~( 'less_or_equal'( 'additive_identity',
% 0.89/1.23 'additive_identity' ) ) ] )
% 0.89/1.23 , 0, clause( 3457, [ 'less_or_equal'( 'additive_identity',
% 0.89/1.23 'additive_identity' ) ] )
% 0.89/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 subsumption(
% 0.89/1.23 clause( 4435, [] )
% 0.89/1.23 , clause( 4698, [] )
% 0.89/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 end.
% 0.89/1.23
% 0.89/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.89/1.23
% 0.89/1.23 Memory use:
% 0.89/1.23
% 0.89/1.23 space for terms: 41824
% 0.89/1.23 space for clauses: 216086
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 clauses generated: 6394
% 0.89/1.23 clauses kept: 4436
% 0.89/1.23 clauses selected: 259
% 0.89/1.23 clauses deleted: 4
% 0.89/1.23 clauses inuse deleted: 1
% 0.89/1.23
% 0.89/1.23 subsentry: 26719
% 0.89/1.23 literals s-matched: 8894
% 0.89/1.23 literals matched: 8186
% 0.89/1.23 full subsumption: 6324
% 0.89/1.23
% 0.89/1.23 checksum: 1375890555
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 Bliksem ended
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