TSTP Solution File: FLD033-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 01:51:05 EDT 2022
% Result : Unsatisfiable 0.73s 1.54s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.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
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % DateTime : Tue Jun 7 02:37:50 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.73/1.54 *** allocated 10000 integers for termspace/termends
% 0.73/1.54 *** allocated 10000 integers for clauses
% 0.73/1.54 *** allocated 10000 integers for justifications
% 0.73/1.54 Bliksem 1.12
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Automatic Strategy Selection
% 0.73/1.54
% 0.73/1.54 Clauses:
% 0.73/1.54 [
% 0.73/1.54 [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) ), ~( sum( U, W
% 0.73/1.54 , Z ) ) ],
% 0.73/1.54 [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) ), ~( sum( T, W
% 0.73/1.54 , Z ) ) ],
% 0.73/1.54 [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ],
% 0.73/1.54 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ), ~( defined( X
% 0.73/1.54 ) ) ],
% 0.73/1.54 [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ],
% 0.73/1.54 [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product( T, W, Y ) ),
% 0.73/1.54 ~( product( U, W, Z ) ) ],
% 0.73/1.54 [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product( U, Y, W ) ),
% 0.73/1.54 ~( product( T, W, Z ) ) ],
% 0.73/1.54 [ product( 'multiplicative_identity', X, X ), ~( defined( X ) ) ],
% 0.73/1.54 [ product( 'multiplicative_inverse'( X ), X, 'multiplicative_identity' )
% 0.73/1.54 , sum( 'additive_identity', X, 'additive_identity' ), ~( defined( X ) ) ]
% 0.73/1.54 ,
% 0.73/1.54 [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ],
% 0.73/1.54 [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0, Z ) ), ~(
% 0.73/1.54 product( T, V0, X ) ), ~( product( U, V0, Y ) ) ],
% 0.73/1.54 [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T, Y, W ) ), ~(
% 0.73/1.54 product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ],
% 0.73/1.54 [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.73/1.54 [ defined( 'additive_identity' ) ],
% 0.73/1.54 [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ],
% 0.73/1.54 [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ]
% 0.73/1.54 ,
% 0.73/1.54 [ defined( 'multiplicative_identity' ) ],
% 0.73/1.54 [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X ) ), sum(
% 0.73/1.54 'additive_identity', X, 'additive_identity' ) ],
% 0.73/1.54 [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined( Y ) ) ],
% 0.73/1.54 [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ), ~( defined( Y )
% 0.73/1.54 ) ],
% 0.73/1.54 [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X, Y ) ), ~(
% 0.73/1.54 'less_or_equal'( Y, X ) ) ],
% 0.73/1.54 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ), ~(
% 0.73/1.54 'less_or_equal'( Z, Y ) ) ],
% 0.73/1.54 [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~( defined( X ) ),
% 0.73/1.54 ~( defined( Y ) ) ],
% 0.73/1.54 [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ), ~( sum( Z, U, X
% 0.73/1.54 ) ), ~( sum( T, U, Y ) ) ],
% 0.73/1.54 [ 'less_or_equal'( 'additive_identity', X ), ~( 'less_or_equal'(
% 0.73/1.54 'additive_identity', Y ) ), ~( 'less_or_equal'( 'additive_identity', Z )
% 0.73/1.54 ), ~( product( Y, Z, X ) ) ],
% 0.73/1.54 [ ~( sum( 'additive_identity', 'additive_identity',
% 0.73/1.54 'multiplicative_identity' ) ) ],
% 0.73/1.54 [ defined( a ) ],
% 0.73/1.54 [ defined( m ) ],
% 0.73/1.54 [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ],
% 0.73/1.54 [ product( m, a, a ) ],
% 0.73/1.54 [ ~( product( 'multiplicative_identity', m, 'multiplicative_identity' )
% 0.73/1.54 ) ]
% 0.73/1.54 ] .
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 percentage equality = 0.000000, percentage horn = 0.903226
% 0.73/1.54 This is a near-Horn, non-equality problem
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Options Used:
% 0.73/1.54
% 0.73/1.54 useres = 1
% 0.73/1.54 useparamod = 0
% 0.73/1.54 useeqrefl = 0
% 0.73/1.54 useeqfact = 0
% 0.73/1.54 usefactor = 1
% 0.73/1.54 usesimpsplitting = 0
% 0.73/1.54 usesimpdemod = 0
% 0.73/1.54 usesimpres = 4
% 0.73/1.54
% 0.73/1.54 resimpinuse = 1000
% 0.73/1.54 resimpclauses = 20000
% 0.73/1.54 substype = standard
% 0.73/1.54 backwardsubs = 1
% 0.73/1.54 selectoldest = 5
% 0.73/1.54
% 0.73/1.54 litorderings [0] = split
% 0.73/1.54 litorderings [1] = liftord
% 0.73/1.54
% 0.73/1.54 termordering = none
% 0.73/1.54
% 0.73/1.54 litapriori = 1
% 0.73/1.54 termapriori = 0
% 0.73/1.54 litaposteriori = 0
% 0.73/1.54 termaposteriori = 0
% 0.73/1.54 demodaposteriori = 0
% 0.73/1.54 ordereqreflfact = 0
% 0.73/1.54
% 0.73/1.54 litselect = negative
% 0.73/1.54
% 0.73/1.54 maxweight = 30000
% 0.73/1.54 maxdepth = 30000
% 0.73/1.54 maxlength = 115
% 0.73/1.54 maxnrvars = 195
% 0.73/1.54 excuselevel = 0
% 0.73/1.54 increasemaxweight = 0
% 0.73/1.54
% 0.73/1.54 maxselected = 10000000
% 0.73/1.54 maxnrclauses = 10000000
% 0.73/1.54
% 0.73/1.54 showgenerated = 0
% 0.73/1.54 showkept = 0
% 0.73/1.54 showselected = 0
% 0.73/1.54 showdeleted = 0
% 0.73/1.54 showresimp = 1
% 0.73/1.54 showstatus = 2000
% 0.73/1.54
% 0.73/1.54 prologoutput = 1
% 0.73/1.54 nrgoals = 5000000
% 0.73/1.54 totalproof = 1
% 0.73/1.54
% 0.73/1.54 Symbols occurring in the translation:
% 0.73/1.54
% 0.73/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.54 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.54 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.54 sum [42, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.73/1.54 'additive_identity' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.54 defined [47, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.54 'additive_inverse' [48, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.54 product [49, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.54 'multiplicative_identity' [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.73/1.54 'multiplicative_inverse' [51, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.54 add [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.54 multiply [57, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.73/1.54 'less_or_equal' [58, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.73/1.54 a [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.54 m [60, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Starting Search:
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 2323
% 0.73/1.54 Kept: 2007
% 0.73/1.54 Inuse: 204
% 0.73/1.54 Deleted: 0
% 0.73/1.54 Deletedinuse: 0
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 4675
% 0.73/1.54 Kept: 4105
% 0.73/1.54 Inuse: 332
% 0.73/1.54 Deleted: 6
% 0.73/1.54 Deletedinuse: 0
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 6854
% 0.73/1.54 Kept: 6112
% 0.73/1.54 Inuse: 443
% 0.73/1.54 Deleted: 8
% 0.73/1.54 Deletedinuse: 0
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 9060
% 0.73/1.54 Kept: 8117
% 0.73/1.54 Inuse: 546
% 0.73/1.54 Deleted: 11
% 0.73/1.54 Deletedinuse: 0
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Intermediate Status:
% 0.73/1.54 Generated: 11205
% 0.73/1.54 Kept: 10139
% 0.73/1.54 Inuse: 637
% 0.73/1.54 Deleted: 11
% 0.73/1.54 Deletedinuse: 0
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54 Resimplifying inuse:
% 0.73/1.54 Done
% 0.73/1.54
% 0.73/1.54
% 0.73/1.54 Bliksems!, er is een bewijs:
% 0.73/1.54 % SZS status Unsatisfiable
% 0.73/1.54 % SZS output start Refutation
% 0.73/1.54
% 0.73/1.54 clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T, W
% 0.73/1.54 , Z ) ), ~( product( U, Y, W ) ) ] )
% 0.73/1.54 .
% 0.73/1.54 clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), product(
% 0.73/1.54 'multiplicative_inverse'( X ), X, 'multiplicative_identity' ), ~( defined(
% 0.73/1.54 X ) ) ] )
% 0.73/1.54 .
% 0.73/1.54 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.73/1.54 .
% 0.73/1.54 clause( 26, [ defined( a ) ] )
% 0.73/1.54 .
% 0.73/1.54 clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 29, [ product( m, a, a ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 30, [ ~( product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 162, [ product( 'multiplicative_inverse'( a ), a,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 191, [ product( a, m, a ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 201, [ ~( product( X, a, Y ) ), product( Y, m, Z ), ~( product( X,
% 0.73/1.55 a, Z ) ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 203, [ product( Y, m, Y ), ~( product( X, a, Y ) ) ] )
% 0.73/1.55 .
% 0.73/1.55 clause( 11671, [] )
% 0.73/1.55 .
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 % SZS output end Refutation
% 0.73/1.55 found a proof!
% 0.73/1.55
% 0.73/1.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.55
% 0.73/1.55 initialclauses(
% 0.73/1.55 [ clause( 11673, [ sum( X, Y, Z ), ~( sum( X, T, U ) ), ~( sum( T, W, Y ) )
% 0.73/1.55 , ~( sum( U, W, Z ) ) ] )
% 0.73/1.55 , clause( 11674, [ sum( X, Y, Z ), ~( sum( T, U, X ) ), ~( sum( U, Y, W ) )
% 0.73/1.55 , ~( sum( T, W, Z ) ) ] )
% 0.73/1.55 , clause( 11675, [ sum( 'additive_identity', X, X ), ~( defined( X ) ) ] )
% 0.73/1.55 , clause( 11676, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ),
% 0.73/1.55 ~( defined( X ) ) ] )
% 0.73/1.55 , clause( 11677, [ sum( X, Y, Z ), ~( sum( Y, X, Z ) ) ] )
% 0.73/1.55 , clause( 11678, [ product( X, Y, Z ), ~( product( X, T, U ) ), ~( product(
% 0.73/1.55 T, W, Y ) ), ~( product( U, W, Z ) ) ] )
% 0.73/1.55 , clause( 11679, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.73/1.55 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.73/1.55 , clause( 11680, [ product( 'multiplicative_identity', X, X ), ~( defined(
% 0.73/1.55 X ) ) ] )
% 0.73/1.55 , clause( 11681, [ product( 'multiplicative_inverse'( X ), X,
% 0.73/1.55 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.73/1.55 'additive_identity' ), ~( defined( X ) ) ] )
% 0.73/1.55 , clause( 11682, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.73/1.55 , clause( 11683, [ sum( X, Y, Z ), ~( sum( T, U, W ) ), ~( product( W, V0,
% 0.73/1.55 Z ) ), ~( product( T, V0, X ) ), ~( product( U, V0, Y ) ) ] )
% 0.73/1.55 , clause( 11684, [ product( X, Y, Z ), ~( sum( T, U, X ) ), ~( product( T,
% 0.73/1.55 Y, W ) ), ~( product( U, Y, V0 ) ), ~( sum( W, V0, Z ) ) ] )
% 0.73/1.55 , clause( 11685, [ defined( add( X, Y ) ), ~( defined( X ) ), ~( defined( Y
% 0.73/1.55 ) ) ] )
% 0.73/1.55 , clause( 11686, [ defined( 'additive_identity' ) ] )
% 0.73/1.55 , clause( 11687, [ defined( 'additive_inverse'( X ) ), ~( defined( X ) ) ]
% 0.73/1.55 )
% 0.73/1.55 , clause( 11688, [ defined( multiply( X, Y ) ), ~( defined( X ) ), ~(
% 0.73/1.55 defined( Y ) ) ] )
% 0.73/1.55 , clause( 11689, [ defined( 'multiplicative_identity' ) ] )
% 0.73/1.55 , clause( 11690, [ defined( 'multiplicative_inverse'( X ) ), ~( defined( X
% 0.73/1.55 ) ), sum( 'additive_identity', X, 'additive_identity' ) ] )
% 0.73/1.55 , clause( 11691, [ sum( X, Y, add( X, Y ) ), ~( defined( X ) ), ~( defined(
% 0.73/1.55 Y ) ) ] )
% 0.73/1.55 , clause( 11692, [ product( X, Y, multiply( X, Y ) ), ~( defined( X ) ),
% 0.73/1.55 ~( defined( Y ) ) ] )
% 0.73/1.55 , clause( 11693, [ sum( 'additive_identity', X, Y ), ~( 'less_or_equal'( X
% 0.73/1.55 , Y ) ), ~( 'less_or_equal'( Y, X ) ) ] )
% 0.73/1.55 , clause( 11694, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( X, Z ) ),
% 0.73/1.55 ~( 'less_or_equal'( Z, Y ) ) ] )
% 0.73/1.55 , clause( 11695, [ 'less_or_equal'( X, Y ), 'less_or_equal'( Y, X ), ~(
% 0.73/1.55 defined( X ) ), ~( defined( Y ) ) ] )
% 0.73/1.55 , clause( 11696, [ 'less_or_equal'( X, Y ), ~( 'less_or_equal'( Z, T ) ),
% 0.73/1.55 ~( sum( Z, U, X ) ), ~( sum( T, U, Y ) ) ] )
% 0.73/1.55 , clause( 11697, [ 'less_or_equal'( 'additive_identity', X ), ~(
% 0.73/1.55 'less_or_equal'( 'additive_identity', Y ) ), ~( 'less_or_equal'(
% 0.73/1.55 'additive_identity', Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.73/1.55 , clause( 11698, [ ~( sum( 'additive_identity', 'additive_identity',
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 , clause( 11699, [ defined( a ) ] )
% 0.73/1.55 , clause( 11700, [ defined( m ) ] )
% 0.73/1.55 , clause( 11701, [ ~( sum( 'additive_identity', a, 'additive_identity' ) )
% 0.73/1.55 ] )
% 0.73/1.55 , clause( 11702, [ product( m, a, a ) ] )
% 0.73/1.55 , clause( 11703, [ ~( product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 ] ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T, W
% 0.73/1.55 , Z ) ), ~( product( U, Y, W ) ) ] )
% 0.73/1.55 , clause( 11679, [ product( X, Y, Z ), ~( product( T, U, X ) ), ~( product(
% 0.73/1.55 U, Y, W ) ), ~( product( T, W, Z ) ) ] )
% 0.73/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.55 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.73/1.55 , 3 ), ==>( 3, 2 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), product(
% 0.73/1.55 'multiplicative_inverse'( X ), X, 'multiplicative_identity' ), ~( defined(
% 0.73/1.55 X ) ) ] )
% 0.73/1.55 , clause( 11681, [ product( 'multiplicative_inverse'( X ), X,
% 0.73/1.55 'multiplicative_identity' ), sum( 'additive_identity', X,
% 0.73/1.55 'additive_identity' ), ~( defined( X ) ) ] )
% 0.73/1.55 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.73/1.55 0 ), ==>( 2, 2 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.73/1.55 , clause( 11682, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.73/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.55 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 26, [ defined( a ) ] )
% 0.73/1.55 , clause( 11699, [ defined( a ) ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ] )
% 0.73/1.55 , clause( 11701, [ ~( sum( 'additive_identity', a, 'additive_identity' ) )
% 0.73/1.55 ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 29, [ product( m, a, a ) ] )
% 0.73/1.55 , clause( 11702, [ product( m, a, a ) ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 30, [ ~( product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 , clause( 11703, [ ~( product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11884, [ sum( 'additive_identity', a, 'additive_identity' ),
% 0.73/1.55 product( 'multiplicative_inverse'( a ), a, 'multiplicative_identity' ) ]
% 0.73/1.55 )
% 0.73/1.55 , clause( 8, [ sum( 'additive_identity', X, 'additive_identity' ), product(
% 0.73/1.55 'multiplicative_inverse'( X ), X, 'multiplicative_identity' ), ~( defined(
% 0.73/1.55 X ) ) ] )
% 0.73/1.55 , 2, clause( 26, [ defined( a ) ] )
% 0.73/1.55 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11885, [ product( 'multiplicative_inverse'( a ), a,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , clause( 28, [ ~( sum( 'additive_identity', a, 'additive_identity' ) ) ]
% 0.73/1.55 )
% 0.73/1.55 , 0, clause( 11884, [ sum( 'additive_identity', a, 'additive_identity' ),
% 0.73/1.55 product( 'multiplicative_inverse'( a ), a, 'multiplicative_identity' ) ]
% 0.73/1.55 )
% 0.73/1.55 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 162, [ product( 'multiplicative_inverse'( a ), a,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , clause( 11885, [ product( 'multiplicative_inverse'( a ), a,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11886, [ product( a, m, a ) ] )
% 0.73/1.55 , clause( 9, [ product( X, Y, Z ), ~( product( Y, X, Z ) ) ] )
% 0.73/1.55 , 1, clause( 29, [ product( m, a, a ) ] )
% 0.73/1.55 , 0, substitution( 0, [ :=( X, a ), :=( Y, m ), :=( Z, a )] ),
% 0.73/1.55 substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 191, [ product( a, m, a ) ] )
% 0.73/1.55 , clause( 11886, [ product( a, m, a ) ] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11889, [ ~( product( X, a, Y ) ), product( Y, m, Z ), ~( product( X
% 0.73/1.55 , a, Z ) ) ] )
% 0.73/1.55 , clause( 6, [ ~( product( T, U, X ) ), product( X, Y, Z ), ~( product( T,
% 0.73/1.55 W, Z ) ), ~( product( U, Y, W ) ) ] )
% 0.73/1.55 , 3, clause( 191, [ product( a, m, a ) ] )
% 0.73/1.55 , 0, substitution( 0, [ :=( X, Y ), :=( Y, m ), :=( Z, Z ), :=( T, X ),
% 0.73/1.55 :=( U, a ), :=( W, a )] ), substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 201, [ ~( product( X, a, Y ) ), product( Y, m, Z ), ~( product( X,
% 0.73/1.55 a, Z ) ) ] )
% 0.73/1.55 , clause( 11889, [ ~( product( X, a, Y ) ), product( Y, m, Z ), ~( product(
% 0.73/1.55 X, a, Z ) ) ] )
% 0.73/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.55 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 factor(
% 0.73/1.55 clause( 11892, [ ~( product( X, a, Y ) ), product( Y, m, Y ) ] )
% 0.73/1.55 , clause( 201, [ ~( product( X, a, Y ) ), product( Y, m, Z ), ~( product( X
% 0.73/1.55 , a, Z ) ) ] )
% 0.73/1.55 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 203, [ product( Y, m, Y ), ~( product( X, a, Y ) ) ] )
% 0.73/1.55 , clause( 11892, [ ~( product( X, a, Y ) ), product( Y, m, Y ) ] )
% 0.73/1.55 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.55 ), ==>( 1, 0 )] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11893, [ product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , clause( 203, [ product( Y, m, Y ), ~( product( X, a, Y ) ) ] )
% 0.73/1.55 , 1, clause( 162, [ product( 'multiplicative_inverse'( a ), a,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , 0, substitution( 0, [ :=( X, 'multiplicative_inverse'( a ) ), :=( Y,
% 0.73/1.55 'multiplicative_identity' )] ), substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 resolution(
% 0.73/1.55 clause( 11894, [] )
% 0.73/1.55 , clause( 30, [ ~( product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ) ] )
% 0.73/1.55 , 0, clause( 11893, [ product( 'multiplicative_identity', m,
% 0.73/1.55 'multiplicative_identity' ) ] )
% 0.73/1.55 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 subsumption(
% 0.73/1.55 clause( 11671, [] )
% 0.73/1.55 , clause( 11894, [] )
% 0.73/1.55 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 end.
% 0.73/1.55
% 0.73/1.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.55
% 0.73/1.55 Memory use:
% 0.73/1.55
% 0.73/1.55 space for terms: 138596
% 0.73/1.55 space for clauses: 811103
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 clauses generated: 12832
% 0.73/1.55 clauses kept: 11672
% 0.73/1.55 clauses selected: 700
% 0.73/1.55 clauses deleted: 11
% 0.73/1.55 clauses inuse deleted: 0
% 0.73/1.55
% 0.73/1.55 subsentry: 12642
% 0.73/1.55 literals s-matched: 5319
% 0.73/1.55 literals matched: 4369
% 0.73/1.55 full subsumption: 2354
% 0.73/1.55
% 0.73/1.55 checksum: -1195464950
% 0.73/1.55
% 0.73/1.55
% 0.73/1.55 Bliksem ended
%------------------------------------------------------------------------------