TSTP Solution File: RNG007-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 : Mon Jul 18 20:16:04 EDT 2022
% Result : Unsatisfiable 15.61s 16.01s
% Output : Refutation 15.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : bliksem %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Mon May 30 08:07:42 EDT 2022
% 0.11/0.31 % CPUTime :
% 15.61/16.01 *** allocated 10000 integers for termspace/termends
% 15.61/16.01 *** allocated 10000 integers for clauses
% 15.61/16.01 *** allocated 10000 integers for justifications
% 15.61/16.01 Bliksem 1.12
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Automatic Strategy Selection
% 15.61/16.01
% 15.61/16.01 Clauses:
% 15.61/16.01 [
% 15.61/16.01 [ sum( 'additive_identity', X, X ) ],
% 15.61/16.01 [ sum( X, 'additive_identity', X ) ],
% 15.61/16.01 [ product( X, Y, multiply( X, Y ) ) ],
% 15.61/16.01 [ sum( X, Y, add( X, Y ) ) ],
% 15.61/16.01 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 15.61/16.01 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 15.61/16.01 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 15.61/16.01 , U, W ) ],
% 15.61/16.01 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 15.61/16.01 , T, W ) ],
% 15.61/16.01 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 15.61/16.01 ) ), product( X, U, W ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 15.61/16.01 ) ), product( Z, T, W ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 15.61/16.01 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 15.61/16.01 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 15.61/16.01 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 15.61/16.01 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 15.61/16.01 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 15.61/16.01 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 15.61/16.01 [ product( X, X, X ) ],
% 15.61/16.01 [ ~( sum( a, a, 'additive_identity' ) ) ]
% 15.61/16.01 ] .
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 percentage equality = 0.038462, percentage horn = 1.000000
% 15.61/16.01 This is a problem with some equality
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Options Used:
% 15.61/16.01
% 15.61/16.01 useres = 1
% 15.61/16.01 useparamod = 1
% 15.61/16.01 useeqrefl = 1
% 15.61/16.01 useeqfact = 1
% 15.61/16.01 usefactor = 1
% 15.61/16.01 usesimpsplitting = 0
% 15.61/16.01 usesimpdemod = 5
% 15.61/16.01 usesimpres = 3
% 15.61/16.01
% 15.61/16.01 resimpinuse = 1000
% 15.61/16.01 resimpclauses = 20000
% 15.61/16.01 substype = eqrewr
% 15.61/16.01 backwardsubs = 1
% 15.61/16.01 selectoldest = 5
% 15.61/16.01
% 15.61/16.01 litorderings [0] = split
% 15.61/16.01 litorderings [1] = extend the termordering, first sorting on arguments
% 15.61/16.01
% 15.61/16.01 termordering = kbo
% 15.61/16.01
% 15.61/16.01 litapriori = 0
% 15.61/16.01 termapriori = 1
% 15.61/16.01 litaposteriori = 0
% 15.61/16.01 termaposteriori = 0
% 15.61/16.01 demodaposteriori = 0
% 15.61/16.01 ordereqreflfact = 0
% 15.61/16.01
% 15.61/16.01 litselect = negord
% 15.61/16.01
% 15.61/16.01 maxweight = 15
% 15.61/16.01 maxdepth = 30000
% 15.61/16.01 maxlength = 115
% 15.61/16.01 maxnrvars = 195
% 15.61/16.01 excuselevel = 1
% 15.61/16.01 increasemaxweight = 1
% 15.61/16.01
% 15.61/16.01 maxselected = 10000000
% 15.61/16.01 maxnrclauses = 10000000
% 15.61/16.01
% 15.61/16.01 showgenerated = 0
% 15.61/16.01 showkept = 0
% 15.61/16.01 showselected = 0
% 15.61/16.01 showdeleted = 0
% 15.61/16.01 showresimp = 1
% 15.61/16.01 showstatus = 2000
% 15.61/16.01
% 15.61/16.01 prologoutput = 1
% 15.61/16.01 nrgoals = 5000000
% 15.61/16.01 totalproof = 1
% 15.61/16.01
% 15.61/16.01 Symbols occurring in the translation:
% 15.61/16.01
% 15.61/16.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 15.61/16.01 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 15.61/16.01 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 15.61/16.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.61/16.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.61/16.01 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 15.61/16.01 sum [41, 3] (w:1, o:54, a:1, s:1, b:0),
% 15.61/16.01 multiply [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 15.61/16.01 product [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 15.61/16.01 add [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 15.61/16.01 'additive_inverse' [46, 1] (w:1, o:26, a:1, s:1, b:0),
% 15.61/16.01 a [55, 0] (w:1, o:20, a:1, s:1, b:0).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Starting Search:
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 13883
% 15.61/16.01 Kept: 2066
% 15.61/16.01 Inuse: 162
% 15.61/16.01 Deleted: 55
% 15.61/16.01 Deletedinuse: 21
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 22968
% 15.61/16.01 Kept: 4126
% 15.61/16.01 Inuse: 227
% 15.61/16.01 Deleted: 75
% 15.61/16.01 Deletedinuse: 36
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 42267
% 15.61/16.01 Kept: 6346
% 15.61/16.01 Inuse: 315
% 15.61/16.01 Deleted: 125
% 15.61/16.01 Deletedinuse: 36
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 55813
% 15.61/16.01 Kept: 8495
% 15.61/16.01 Inuse: 353
% 15.61/16.01 Deleted: 130
% 15.61/16.01 Deletedinuse: 39
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 67492
% 15.61/16.01 Kept: 10635
% 15.61/16.01 Inuse: 385
% 15.61/16.01 Deleted: 140
% 15.61/16.01 Deletedinuse: 39
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 74341
% 15.61/16.01 Kept: 12676
% 15.61/16.01 Inuse: 407
% 15.61/16.01 Deleted: 172
% 15.61/16.01 Deletedinuse: 68
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 82534
% 15.61/16.01 Kept: 14720
% 15.61/16.01 Inuse: 436
% 15.61/16.01 Deleted: 174
% 15.61/16.01 Deletedinuse: 68
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 93767
% 15.61/16.01 Kept: 17128
% 15.61/16.01 Inuse: 467
% 15.61/16.01 Deleted: 185
% 15.61/16.01 Deletedinuse: 72
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 99355
% 15.61/16.01 Kept: 19133
% 15.61/16.01 Inuse: 482
% 15.61/16.01 Deleted: 189
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying clauses:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 109432
% 15.61/16.01 Kept: 21176
% 15.61/16.01 Inuse: 514
% 15.61/16.01 Deleted: 2566
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 120695
% 15.61/16.01 Kept: 23211
% 15.61/16.01 Inuse: 554
% 15.61/16.01 Deleted: 2569
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 133838
% 15.61/16.01 Kept: 25222
% 15.61/16.01 Inuse: 587
% 15.61/16.01 Deleted: 2569
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 150884
% 15.61/16.01 Kept: 27250
% 15.61/16.01 Inuse: 623
% 15.61/16.01 Deleted: 2570
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 179087
% 15.61/16.01 Kept: 29336
% 15.61/16.01 Inuse: 667
% 15.61/16.01 Deleted: 2570
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 201378
% 15.61/16.01 Kept: 31361
% 15.61/16.01 Inuse: 702
% 15.61/16.01 Deleted: 2570
% 15.61/16.01 Deletedinuse: 73
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01 Resimplifying inuse:
% 15.61/16.01 Done
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Intermediate Status:
% 15.61/16.01 Generated: 217742
% 15.61/16.01 Kept: 33399
% 15.61/16.01 Inuse: 740
% 15.61/16.01 Deleted: 2577
% 15.61/16.01 Deletedinuse: 78
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Bliksems!, er is een bewijs:
% 15.61/16.01 % SZS status Unsatisfiable
% 15.61/16.01 % SZS output start Refutation
% 15.61/16.01
% 15.61/16.01 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 15.61/16.01 , sum( X, U, W ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 15.61/16.01 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 14, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 15.61/16.01 T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 17, [ product( X, X, X ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 18, [ ~( sum( a, a, 'additive_identity' ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 20, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 40, [ ~( product( X, Y, Z ) ), ~( sum( X, X, T ) ), ~( sum( Z, Z, U
% 15.61/16.01 ) ), product( T, Y, U ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 43, [ sum( X, Y, add( Y, X ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 214, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 15.61/16.01 , T, X ) ), sum( Z, U, X ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 215, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, X ) ), sum( Z, Z, X )
% 15.61/16.01 ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 435, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 811, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 15.61/16.01 'additive_identity' ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 814, [ ~( sum( X, Y, Y ) ), =( X, 'additive_identity' ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 1138, [ ~( sum( a, a, X ) ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 1824, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), product( Y, X, Z
% 15.61/16.01 ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 34198, [ ~( sum( Y, Y, X ) ), ~( sum( a, a, X ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 34207, [ ~( sum( a, a, X ) ) ] )
% 15.61/16.01 .
% 15.61/16.01 clause( 34235, [] )
% 15.61/16.01 .
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 % SZS output end Refutation
% 15.61/16.01 found a proof!
% 15.61/16.01
% 15.61/16.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.61/16.01
% 15.61/16.01 initialclauses(
% 15.61/16.01 [ clause( 34237, [ sum( 'additive_identity', X, X ) ] )
% 15.61/16.01 , clause( 34238, [ sum( X, 'additive_identity', X ) ] )
% 15.61/16.01 , clause( 34239, [ product( X, Y, multiply( X, Y ) ) ] )
% 15.61/16.01 , clause( 34240, [ sum( X, Y, add( X, Y ) ) ] )
% 15.61/16.01 , clause( 34241, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 15.61/16.01 )
% 15.61/16.01 , clause( 34242, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 15.61/16.01 )
% 15.61/16.01 , clause( 34243, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 15.61/16.01 W ) ), sum( X, U, W ) ] )
% 15.61/16.01 , clause( 34244, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 15.61/16.01 W ) ), sum( Z, T, W ) ] )
% 15.61/16.01 , clause( 34245, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 15.61/16.01 , clause( 34246, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 15.61/16.01 product( Z, T, W ) ), product( X, U, W ) ] )
% 15.61/16.01 , clause( 34247, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 15.61/16.01 product( X, U, W ) ), product( Z, T, W ) ] )
% 15.61/16.01 , clause( 34248, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 , clause( 34249, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 15.61/16.01 , clause( 34250, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 15.61/16.01 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 , clause( 34251, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 15.61/16.01 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 15.61/16.01 , clause( 34252, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 15.61/16.01 , clause( 34253, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 15.61/16.01 T ) ] )
% 15.61/16.01 , clause( 34254, [ product( X, X, X ) ] )
% 15.61/16.01 , clause( 34255, [ ~( sum( a, a, 'additive_identity' ) ) ] )
% 15.61/16.01 ] ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 15.61/16.01 , clause( 34238, [ sum( X, 'additive_identity', X ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 15.61/16.01 , clause( 34240, [ sum( X, Y, add( X, Y ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 15.61/16.01 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 15.61/16.01 , clause( 34242, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 15.61/16.01 )
% 15.61/16.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 15.61/16.01 , sum( X, U, W ) ] )
% 15.61/16.01 , clause( 34243, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 15.61/16.01 W ) ), sum( X, U, W ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 15.61/16.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 15.61/16.01 , 2 ), ==>( 3, 3 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 15.61/16.01 , clause( 34245, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 15.61/16.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 15.61/16.01 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 , clause( 34248, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 15.61/16.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 15.61/16.01 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 14, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 15.61/16.01 T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 15.61/16.01 , clause( 34251, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 15.61/16.01 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 15.61/16.01 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 15.61/16.01 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 15.61/16.01 , clause( 34252, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 15.61/16.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 17, [ product( X, X, X ) ] )
% 15.61/16.01 , clause( 34254, [ product( X, X, X ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 18, [ ~( sum( a, a, 'additive_identity' ) ) ] )
% 15.61/16.01 , clause( 34255, [ ~( sum( a, a, 'additive_identity' ) ) ] )
% 15.61/16.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34415, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ]
% 15.61/16.01 )
% 15.61/16.01 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 15.61/16.01 ), sum( X, U, W ) ] )
% 15.61/16.01 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 15.61/16.01 :=( U, T ), :=( W, T )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 20, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 15.61/16.01 , clause( 34415, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T )
% 15.61/16.01 ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 15.61/16.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34417, [ ~( product( X, Y, Z ) ), ~( sum( X, X, T ) ), ~( sum( Z, Z
% 15.61/16.01 , U ) ), product( T, Y, U ) ] )
% 15.61/16.01 , clause( 14, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 15.61/16.01 , T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 15.61/16.01 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 15.61/16.01 :=( U, Z ), :=( W, T ), :=( V0, U )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 40, [ ~( product( X, Y, Z ) ), ~( sum( X, X, T ) ), ~( sum( Z, Z, U
% 15.61/16.01 ) ), product( T, Y, U ) ] )
% 15.61/16.01 , clause( 34417, [ ~( product( X, Y, Z ) ), ~( sum( X, X, T ) ), ~( sum( Z
% 15.61/16.01 , Z, U ) ), product( T, Y, U ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 15.61/16.01 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 15.61/16.01 , 3 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34420, [ sum( Y, X, add( X, Y ) ) ] )
% 15.61/16.01 , clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 15.61/16.01 , 0, clause( 3, [ sum( X, Y, add( X, Y ) ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 15.61/16.01 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 43, [ sum( X, Y, add( Y, X ) ) ] )
% 15.61/16.01 , clause( 34420, [ sum( Y, X, add( X, Y ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 15.61/16.01 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34423, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, X ) ), sum( Z, U, X ) ] )
% 15.61/16.01 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 15.61/16.01 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 15.61/16.01 , 3, clause( 17, [ product( X, X, X ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 15.61/16.01 :=( U, U ), :=( W, X ), :=( V0, X )] ), substitution( 1, [ :=( X, X )] )
% 15.61/16.01 ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 214, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 15.61/16.01 , T, X ) ), sum( Z, U, X ) ] )
% 15.61/16.01 , clause( 34423, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, X ) ), sum( Z, U, X ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 15.61/16.01 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 15.61/16.01 , 3 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34427, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, X ) ), sum( Z, Z, X
% 15.61/16.01 ) ] )
% 15.61/16.01 , clause( 214, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 15.61/16.01 Y, T, X ) ), sum( Z, U, X ) ] )
% 15.61/16.01 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 15.61/16.01 :=( U, Z )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 215, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, X ) ), sum( Z, Z, X )
% 15.61/16.01 ] )
% 15.61/16.01 , clause( 34427, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, X ) ), sum( Z, Z
% 15.61/16.01 , X ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 15.61/16.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34428, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 15.61/16.01 , clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 15.61/16.01 , 0, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, X
% 15.61/16.01 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 435, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 15.61/16.01 , clause( 34428, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 15.61/16.01 ), ==>( 1, 1 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34430, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 15.61/16.01 'additive_identity' ) ] )
% 15.61/16.01 , clause( 20, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ]
% 15.61/16.01 )
% 15.61/16.01 , 1, clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 15.61/16.01 )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'additive_inverse'(
% 15.61/16.01 Y ) ), :=( T, 'additive_identity' )] ), substitution( 1, [ :=( X, Y )] )
% 15.61/16.01 ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 811, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 15.61/16.01 'additive_identity' ) ] )
% 15.61/16.01 , clause( 34430, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 15.61/16.01 'additive_identity' ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 15.61/16.01 ), ==>( 1, 1 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 eqswap(
% 15.61/16.01 clause( 34431, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 15.61/16.01 , clause( 435, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 15.61/16.01 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34432, [ =( 'additive_identity', X ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , clause( 34431, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 15.61/16.01 , 1, clause( 811, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 15.61/16.01 'additive_identity' ) ] )
% 15.61/16.01 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 15.61/16.01 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 eqswap(
% 15.61/16.01 clause( 34433, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , clause( 34432, [ =( 'additive_identity', X ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 814, [ ~( sum( X, Y, Y ) ), =( X, 'additive_identity' ) ] )
% 15.61/16.01 , clause( 34433, [ =( X, 'additive_identity' ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 15.61/16.01 ), ==>( 1, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 eqswap(
% 15.61/16.01 clause( 34434, [ =( 'additive_identity', X ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , clause( 814, [ ~( sum( X, Y, Y ) ), =( X, 'additive_identity' ) ] )
% 15.61/16.01 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 paramod(
% 15.61/16.01 clause( 34435, [ ~( sum( a, a, X ) ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , clause( 34434, [ =( 'additive_identity', X ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , 0, clause( 18, [ ~( sum( a, a, 'additive_identity' ) ) ] )
% 15.61/16.01 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 15.61/16.01 ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 1138, [ ~( sum( a, a, X ) ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , clause( 34435, [ ~( sum( a, a, X ) ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 15.61/16.01 ), ==>( 1, 1 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34437, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), product( Y, X, Z
% 15.61/16.01 ) ] )
% 15.61/16.01 , clause( 40, [ ~( product( X, Y, Z ) ), ~( sum( X, X, T ) ), ~( sum( Z, Z
% 15.61/16.01 , U ) ), product( T, Y, U ) ] )
% 15.61/16.01 , 0, clause( 17, [ product( X, X, X ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 15.61/16.01 :=( U, Z )] ), substitution( 1, [ :=( X, X )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 1824, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), product( Y, X, Z
% 15.61/16.01 ) ] )
% 15.61/16.01 , clause( 34437, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), product( Y, X
% 15.61/16.01 , Z ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 15.61/16.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34440, [ ~( sum( a, a, X ) ), ~( product( X, Y, X ) ), ~( sum( Y, Y
% 15.61/16.01 , X ) ) ] )
% 15.61/16.01 , clause( 1138, [ ~( sum( a, a, X ) ), ~( sum( X, Y, Y ) ) ] )
% 15.61/16.01 , 1, clause( 215, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, X ) ), sum( Z, Z
% 15.61/16.01 , X ) ] )
% 15.61/16.01 , 2, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 15.61/16.01 , X ), :=( Y, Y ), :=( Z, X )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34441, [ ~( sum( a, a, X ) ), ~( product( X, a, X ) ) ] )
% 15.61/16.01 , clause( 34440, [ ~( sum( a, a, X ) ), ~( product( X, Y, X ) ), ~( sum( Y
% 15.61/16.01 , Y, X ) ) ] )
% 15.61/16.01 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, a )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34452, [ ~( sum( a, a, X ) ), ~( sum( a, a, X ) ), ~( sum( a, a, X
% 15.61/16.01 ) ) ] )
% 15.61/16.01 , clause( 34441, [ ~( sum( a, a, X ) ), ~( product( X, a, X ) ) ] )
% 15.61/16.01 , 1, clause( 1824, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), product( Y,
% 15.61/16.01 X, Z ) ] )
% 15.61/16.01 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a ), :=( Y
% 15.61/16.01 , X ), :=( Z, X )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34453, [ ~( sum( a, a, X ) ), ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , clause( 34452, [ ~( sum( a, a, X ) ), ~( sum( a, a, X ) ), ~( sum( a, a,
% 15.61/16.01 X ) ) ] )
% 15.61/16.01 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 34198, [ ~( sum( Y, Y, X ) ), ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , clause( 34453, [ ~( sum( a, a, X ) ), ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 15.61/16.01 1 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 factor(
% 15.61/16.01 clause( 34455, [ ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , clause( 34198, [ ~( sum( Y, Y, X ) ), ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, a )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 34207, [ ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , clause( 34455, [ ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 resolution(
% 15.61/16.01 clause( 34456, [] )
% 15.61/16.01 , clause( 34207, [ ~( sum( a, a, X ) ) ] )
% 15.61/16.01 , 0, clause( 43, [ sum( X, Y, add( Y, X ) ) ] )
% 15.61/16.01 , 0, substitution( 0, [ :=( X, add( a, a ) )] ), substitution( 1, [ :=( X,
% 15.61/16.01 a ), :=( Y, a )] )).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 subsumption(
% 15.61/16.01 clause( 34235, [] )
% 15.61/16.01 , clause( 34456, [] )
% 15.61/16.01 , substitution( 0, [] ), permutation( 0, [] ) ).
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 end.
% 15.61/16.01
% 15.61/16.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.61/16.01
% 15.61/16.01 Memory use:
% 15.61/16.01
% 15.61/16.01 space for terms: 506510
% 15.61/16.01 space for clauses: 1324899
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 clauses generated: 223259
% 15.61/16.01 clauses kept: 34236
% 15.61/16.01 clauses selected: 754
% 15.61/16.01 clauses deleted: 2577
% 15.61/16.01 clauses inuse deleted: 78
% 15.61/16.01
% 15.61/16.01 subsentry: 6463773
% 15.61/16.01 literals s-matched: 2524317
% 15.61/16.01 literals matched: 1273216
% 15.61/16.01 full subsumption: 609903
% 15.61/16.01
% 15.61/16.01 checksum: -1857552262
% 15.61/16.01
% 15.61/16.01
% 15.61/16.01 Bliksem ended
%------------------------------------------------------------------------------