%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD071-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 01:51:27 EDT 2022
% Result : Unsatisfiable 2.75s 3.13s
% Output : Refutation 2.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD071-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 6 10:56:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.75/3.13 *** allocated 10000 integers for termspace/termends
% 2.75/3.13 *** allocated 10000 integers for clauses
% 2.75/3.13 *** allocated 10000 integers for justifications
% 2.75/3.13 Bliksem 1.12
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Automatic Strategy Selection
% 2.75/3.13
% 2.75/3.13 Clauses:
% 2.75/3.13 [
% 2.75/3.13 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 2.75/3.13 , Z ) ) ],
% 2.75/3.13 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 2.75/3.13 , Z ) ) ],
% 2.75/3.13 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 2.75/3.13 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 2.75/3.13 ) ) ],
% 2.75/3.13 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 2.75/3.13 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 2.75/3.13 ~( product( U, W, Z ) ) ],
% 2.75/3.13 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 2.75/3.13 ~( product( T, W, Z ) ) ],
% 2.75/3.13 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 2.75/3.13 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 2.75/3.13 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 2.75/3.13 ,
% 2.75/3.13 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 2.75/3.13 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 2.75/3.13 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 2.75/3.13 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 2.75/3.13 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 2.75/3.13 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 2.75/3.13 [ defined( 'additive_identity' ) ],
% 2.75/3.13 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 2.75/3.13 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 2.75/3.13 ,
% 2.75/3.13 [ defined( 'multiplicative_identity' ) ],
% 2.75/3.13 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 2.75/3.13 'additive_identity', X, 'additive_identity' ) ],
% 2.75/3.13 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 2.75/3.13 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 2.75/3.13 ) ],
% 2.75/3.13 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 2.75/3.13 'less_or_equal'( Y, X ) ) ],
% 2.75/3.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 2.75/3.13 'less_or_equal'( Z, Y ) ) ],
% 2.75/3.13 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 2.75/3.13 ~( defined( Y ) ) ],
% 2.75/3.13 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 2.75/3.13 ) ), ~( sum( T, U, Y ) ) ],
% 2.75/3.13 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 2.75/3.13 ), ~( product( Y, Z, X ) ) ],
% 2.75/3.13 [ ~( sum( 'additive_identity', 'additive_identity',
% 2.75/3.13 'multiplicative_identity' ) ) ],
% 2.75/3.13 [ defined( a ) ],
% 2.75/3.13 [ defined( b ) ],
% 2.75/3.13 [ defined( u ) ],
% 2.75/3.13 [ 'less_or_equal'( 'additive_identity', a ) ],
% 2.75/3.13 [ 'less_or_equal'( 'additive_identity', b ) ],
% 2.75/3.13 [ product( a, b, u ) ],
% 2.75/3.13 [ ~( 'less_or_equal'( 'additive_identity', u ) ) ]
% 2.75/3.13 ] .
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 percentage equality = 0.000000, percentage horn = 0.909091
% 2.75/3.13 This is a near-Horn, non-equality problem
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Options Used:
% 2.75/3.13
% 2.75/3.13 useres = 1
% 2.75/3.13 useparamod = 0
% 2.75/3.13 useeqrefl = 0
% 2.75/3.13 useeqfact = 0
% 2.75/3.13 usefactor = 1
% 2.75/3.13 usesimpsplitting = 0
% 2.75/3.13 usesimpdemod = 0
% 2.75/3.13 usesimpres = 4
% 2.75/3.13
% 2.75/3.13 resimpinuse = 1000
% 2.75/3.13 resimpclauses = 20000
% 2.75/3.13 substype = standard
% 2.75/3.13 backwardsubs = 1
% 2.75/3.13 selectoldest = 5
% 2.75/3.13
% 2.75/3.13 litorderings [0] = split
% 2.75/3.13 litorderings [1] = liftord
% 2.75/3.13
% 2.75/3.13 termordering = none
% 2.75/3.13
% 2.75/3.13 litapriori = 1
% 2.75/3.13 termapriori = 0
% 2.75/3.13 litaposteriori = 0
% 2.75/3.13 termaposteriori = 0
% 2.75/3.13 demodaposteriori = 0
% 2.75/3.13 ordereqreflfact = 0
% 2.75/3.13
% 2.75/3.13 litselect = negative
% 2.75/3.13
% 2.75/3.13 maxweight = 30000
% 2.75/3.13 maxdepth = 30000
% 2.75/3.13 maxlength = 115
% 2.75/3.13 maxnrvars = 195
% 2.75/3.13 excuselevel = 0
% 2.75/3.13 increasemaxweight = 0
% 2.75/3.13
% 2.75/3.13 maxselected = 10000000
% 2.75/3.13 maxnrclauses = 10000000
% 2.75/3.13
% 2.75/3.13 showgenerated = 0
% 2.75/3.13 showkept = 0
% 2.75/3.13 showselected = 0
% 2.75/3.13 showdeleted = 0
% 2.75/3.13 showresimp = 1
% 2.75/3.13 showstatus = 2000
% 2.75/3.13
% 2.75/3.13 prologoutput = 1
% 2.75/3.13 nrgoals = 5000000
% 2.75/3.13 totalproof = 1
% 2.75/3.13
% 2.75/3.13 Symbols occurring in the translation:
% 2.75/3.13
% 2.75/3.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.75/3.13 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 2.75/3.13 ! [4, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.75/3.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.13 sum [42, 3] (w:1, o:60, a:1, s:1, b:0),
% 2.75/3.13 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.75/3.13 defined [47, 1] (w:1, o:29, a:1, s:1, b:0),
% 2.75/3.13 'additive_inverse' [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 2.75/3.13 product [49, 3] (w:1, o:61, a:1, s:1, b:0),
% 2.75/3.13 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.75/3.13 'multiplicative_inverse' [51, 1] (w:1, o:31, a:1, s:1, b:0),
% 2.75/3.13 add [56, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.75/3.13 multiply [57, 2] (w:1, o:59, a:1, s:1, b:0),
% 2.75/3.13 'less_or_equal' [58, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.75/3.13 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 2.75/3.13 b [60, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.75/3.13 u [61, 0] (w:1, o:23, a:1, s:1, b:0).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Starting Search:
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 2343
% 2.75/3.13 Kept: 2013
% 2.75/3.13 Inuse: 207
% 2.75/3.13 Deleted: 0
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 4692
% 2.75/3.13 Kept: 4023
% 2.75/3.13 Inuse: 354
% 2.75/3.13 Deleted: 4
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 6913
% 2.75/3.13 Kept: 6023
% 2.75/3.13 Inuse: 474
% 2.75/3.13 Deleted: 6
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 9071
% 2.75/3.13 Kept: 8024
% 2.75/3.13 Inuse: 576
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 11164
% 2.75/3.13 Kept: 10024
% 2.75/3.13 Inuse: 673
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 13264
% 2.75/3.13 Kept: 12024
% 2.75/3.13 Inuse: 764
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 15480
% 2.75/3.13 Kept: 14025
% 2.75/3.13 Inuse: 841
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 18091
% 2.75/3.13 Kept: 16048
% 2.75/3.13 Inuse: 929
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Intermediate Status:
% 2.75/3.13 Generated: 20804
% 2.75/3.13 Kept: 18659
% 2.75/3.13 Inuse: 997
% 2.75/3.13 Deleted: 9
% 2.75/3.13 Deletedinuse: 0
% 2.75/3.13
% 2.75/3.13 Resimplifying inuse:
% 2.75/3.13 Done
% 2.75/3.13
% 2.75/3.13 Resimplifying clauses:
% 2.75/3.13
% 2.75/3.13 Bliksems!, er is een bewijs:
% 2.75/3.13 % SZS status Unsatisfiable
% 2.75/3.13 % SZS output start Refutation
% 2.75/3.13
% 2.75/3.13 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 2.75/3.13 ), ~( product( Y, Z, X ) ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 31, [ product( a, b, u ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 32, [ ~( 'less_or_equal'( 'additive_identity', u ) ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 164, [ product( b, a, u ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 598, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 .
% 2.75/3.13 clause( 20193, [] )
% 2.75/3.13 .
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 % SZS output end Refutation
% 2.75/3.13 found a proof!
% 2.75/3.13
% 2.75/3.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.75/3.13
% 2.75/3.13 initialclauses(
% 2.75/3.13 [ clause( 20195, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 2.75/3.13 , ~( sum( U, W, Z ) ) ] )
% 2.75/3.13 , clause( 20196, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 2.75/3.13 , ~( sum( T, W, Z ) ) ] )
% 2.75/3.13 , clause( 20197, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 2.75/3.13 , clause( 20198, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 2.75/3.13 ~( defined( X ) ) ] )
% 2.75/3.13 , clause( 20199, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 2.75/3.13 , clause( 20200, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 2.75/3.13 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 2.75/3.13 , clause( 20201, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 2.75/3.13 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 2.75/3.13 , clause( 20202, [ product( 'multiplicative_identity', X, X ), ~( defined(
% 2.75/3.13 X ) ) ] )
% 2.75/3.13 , clause( 20203, [ product( 'multiplicative_inverse'( X ), X,
% 2.75/3.13 'multiplicative_identity' ), sum( 'additive_identity', X,
% 2.75/3.13 'additive_identity' ), ~( defined( X ) ) ] )
% 2.75/3.13 , clause( 20204, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 2.75/3.13 , clause( 20205, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0,
% 2.75/3.13 Z ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 2.75/3.13 , clause( 20206, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T,
% 2.75/3.13 Y, W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 2.75/3.13 , clause( 20207, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 2.75/3.13 ) ) ] )
% 2.75/3.13 , clause( 20208, [ defined( 'additive_identity' ) ] )
% 2.75/3.13 , clause( 20209, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 2.75/3.13 )
% 2.75/3.13 , clause( 20210, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 2.75/3.13 defined( Y ) ) ] )
% 2.75/3.13 , clause( 20211, [ defined( 'multiplicative_identity' ) ] )
% 2.75/3.13 , clause( 20212, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X
% 2.75/3.13 ) ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 2.75/3.13 , clause( 20213, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 2.75/3.13 Y ) ) ] )
% 2.75/3.13 , clause( 20214, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ),
% 2.75/3.13 ~( defined( Y ) ) ] )
% 2.75/3.13 , clause( 20215, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X
% 2.75/3.13 , Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 2.75/3.13 , clause( 20216, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 2.75/3.13 ~( 'less_or_equal'( Z, Y ) ) ] )
% 2.75/3.13 , clause( 20217, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 2.75/3.13 defined( X ) ), ~( defined( Y ) ) ] )
% 2.75/3.13 , clause( 20218, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 2.75/3.13 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 2.75/3.13 , clause( 20219, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 2.75/3.13 , clause( 20220, [ ~( sum( 'additive_identity', 'additive_identity',
% 2.75/3.13 'multiplicative_identity' ) ) ] )
% 2.75/3.13 , clause( 20221, [ defined( a ) ] )
% 2.75/3.13 , clause( 20222, [ defined( b ) ] )
% 2.75/3.13 , clause( 20223, [ defined( u ) ] )
% 2.75/3.13 , clause( 20224, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 2.75/3.13 , clause( 20225, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 2.75/3.13 , clause( 20226, [ product( a, b, u ) ] )
% 2.75/3.13 , clause( 20227, [ ~( 'less_or_equal'( 'additive_identity', u ) ) ] )
% 2.75/3.13 ] ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 2.75/3.13 , clause( 20204, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 2.75/3.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.75/3.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 2.75/3.13 ), ~( product( Y, Z, X ) ) ] )
% 2.75/3.13 , clause( 20219, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 2.75/3.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.75/3.13 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.75/3.13 ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 2.75/3.13 , clause( 20224, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 2.75/3.13 , clause( 20225, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 31, [ product( a, b, u ) ] )
% 2.75/3.13 , clause( 20226, [ product( a, b, u ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 32, [ ~( 'less_or_equal'( 'additive_identity', u ) ) ] )
% 2.75/3.13 , clause( 20227, [ ~( 'less_or_equal'( 'additive_identity', u ) ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 resolution(
% 2.75/3.13 clause( 20409, [ product( b, a, u ) ] )
% 2.75/3.13 , clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 2.75/3.13 , 1, clause( 31, [ product( a, b, u ) ] )
% 2.75/3.13 , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, u )] ),
% 2.75/3.13 substitution( 1, [] )).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 164, [ product( b, a, u ) ] )
% 2.75/3.13 , clause( 20409, [ product( b, a, u ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 resolution(
% 2.75/3.13 clause( 20410, [ 'less_or_equal'( 'additive_identity', u ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', b ) ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', a ) ) ] )
% 2.75/3.13 , clause( 24, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 2.75/3.13 , 3, clause( 164, [ product( b, a, u ) ] )
% 2.75/3.13 , 0, substitution( 0, [ :=( X, u ), :=( Y, b ), :=( Z, a )] ),
% 2.75/3.13 substitution( 1, [] )).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 resolution(
% 2.75/3.13 clause( 20411, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , clause( 32, [ ~( 'less_or_equal'( 'additive_identity', u ) ) ] )
% 2.75/3.13 , 0, clause( 20410, [ 'less_or_equal'( 'additive_identity', u ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', b ) ), ~( 'less_or_equal'(
% 2.75/3.13 'additive_identity', a ) ) ] )
% 2.75/3.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 598, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , clause( 20411, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.75/3.13 ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 resolution(
% 2.75/3.13 clause( 20412, [ ~( 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , clause( 598, [ ~( 'less_or_equal'( 'additive_identity', b ) ), ~(
% 2.75/3.13 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , 0, clause( 30, [ 'less_or_equal'( 'additive_identity', b ) ] )
% 2.75/3.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 resolution(
% 2.75/3.13 clause( 20413, [] )
% 2.75/3.13 , clause( 20412, [ ~( 'less_or_equal'( 'additive_identity', a ) ) ] )
% 2.75/3.13 , 0, clause( 29, [ 'less_or_equal'( 'additive_identity', a ) ] )
% 2.75/3.13 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 subsumption(
% 2.75/3.13 clause( 20193, [] )
% 2.75/3.13 , clause( 20413, [] )
% 2.75/3.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 end.
% 2.75/3.13
% 2.75/3.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.75/3.13
% 2.75/3.13 Memory use:
% 2.75/3.13
% 2.75/3.13 space for terms: 234610
% 2.75/3.13 space for clauses: 1332642
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 clauses generated: 22349
% 2.75/3.13 clauses kept: 20194
% 2.75/3.13 clauses selected: 1007
% 2.75/3.13 clauses deleted: 15
% 2.75/3.13 clauses inuse deleted: 0
% 2.75/3.13
% 2.75/3.13 subsentry: 39191
% 2.75/3.13 literals s-matched: 16261
% 2.75/3.13 literals matched: 11944
% 2.75/3.13 full subsumption: 7707
% 2.75/3.13
% 2.75/3.13 checksum: -1524733526
% 2.75/3.13
% 2.75/3.13
% 2.75/3.13 Bliksem ended
%------------------------------------------------------------------------------