TSTP Solution File: BOO010-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Thu Jul 14 23:30:37 EDT 2022
% Result : Unsatisfiable 12.76s 13.17s
% Output : Refutation 12.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 : Wed Jun 1 19:27:38 EDT 2022
% 0.18/0.33 % CPUTime :
% 12.76/13.17 *** allocated 10000 integers for termspace/termends
% 12.76/13.17 *** allocated 10000 integers for clauses
% 12.76/13.17 *** allocated 10000 integers for justifications
% 12.76/13.17 Bliksem 1.12
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Automatic Strategy Selection
% 12.76/13.17
% 12.76/13.17 Clauses:
% 12.76/13.17 [
% 12.76/13.17 [ sum( X, Y, add( X, Y ) ) ],
% 12.76/13.17 [ product( X, Y, multiply( X, Y ) ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 12.76/13.17 [ sum( 'additive_identity', X, X ) ],
% 12.76/13.17 [ sum( X, 'additive_identity', X ) ],
% 12.76/13.17 [ product( 'multiplicative_identity', X, X ) ],
% 12.76/13.17 [ product( X, 'multiplicative_identity', X ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 12.76/13.17 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 12.76/13.17 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 12.76/13.17 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 12.76/13.17 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 12.76/13.17 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 12.76/13.17 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 12.76/13.17 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 12.76/13.17 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 12.76/13.17 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 12.76/13.17 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 12.76/13.17 [ product( inverse( X ), X, 'additive_identity' ) ],
% 12.76/13.17 [ product( X, inverse( X ), 'additive_identity' ) ],
% 12.76/13.17 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 12.76/13.17 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 12.76/13.17 [ ~( sum( x, multiply( x, y ), x ) ) ]
% 12.76/13.17 ] .
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 percentage equality = 0.032787, percentage horn = 1.000000
% 12.76/13.17 This is a problem with some equality
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Options Used:
% 12.76/13.17
% 12.76/13.17 useres = 1
% 12.76/13.17 useparamod = 1
% 12.76/13.17 useeqrefl = 1
% 12.76/13.17 useeqfact = 1
% 12.76/13.17 usefactor = 1
% 12.76/13.17 usesimpsplitting = 0
% 12.76/13.17 usesimpdemod = 5
% 12.76/13.17 usesimpres = 3
% 12.76/13.17
% 12.76/13.17 resimpinuse = 1000
% 12.76/13.17 resimpclauses = 20000
% 12.76/13.17 substype = eqrewr
% 12.76/13.17 backwardsubs = 1
% 12.76/13.17 selectoldest = 5
% 12.76/13.17
% 12.76/13.17 litorderings [0] = split
% 12.76/13.17 litorderings [1] = extend the termordering, first sorting on arguments
% 12.76/13.17
% 12.76/13.17 termordering = kbo
% 12.76/13.17
% 12.76/13.17 litapriori = 0
% 12.76/13.17 termapriori = 1
% 12.76/13.17 litaposteriori = 0
% 12.76/13.17 termaposteriori = 0
% 12.76/13.17 demodaposteriori = 0
% 12.76/13.17 ordereqreflfact = 0
% 12.76/13.17
% 12.76/13.17 litselect = negord
% 12.76/13.17
% 12.76/13.17 maxweight = 15
% 12.76/13.17 maxdepth = 30000
% 12.76/13.17 maxlength = 115
% 12.76/13.17 maxnrvars = 195
% 12.76/13.17 excuselevel = 1
% 12.76/13.17 increasemaxweight = 1
% 12.76/13.17
% 12.76/13.17 maxselected = 10000000
% 12.76/13.17 maxnrclauses = 10000000
% 12.76/13.17
% 12.76/13.17 showgenerated = 0
% 12.76/13.17 showkept = 0
% 12.76/13.17 showselected = 0
% 12.76/13.17 showdeleted = 0
% 12.76/13.17 showresimp = 1
% 12.76/13.17 showstatus = 2000
% 12.76/13.17
% 12.76/13.17 prologoutput = 1
% 12.76/13.17 nrgoals = 5000000
% 12.76/13.17 totalproof = 1
% 12.76/13.17
% 12.76/13.17 Symbols occurring in the translation:
% 12.76/13.17
% 12.76/13.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.76/13.17 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 12.76/13.17 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 12.76/13.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.76/13.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.76/13.17 add [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 12.76/13.17 sum [42, 3] (w:1, o:55, a:1, s:1, b:0),
% 12.76/13.17 multiply [43, 2] (w:1, o:54, a:1, s:1, b:0),
% 12.76/13.17 product [44, 3] (w:1, o:56, a:1, s:1, b:0),
% 12.76/13.17 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 12.76/13.17 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 12.76/13.17 inverse [52, 1] (w:1, o:27, a:1, s:1, b:0),
% 12.76/13.17 x [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 12.76/13.17 y [56, 0] (w:1, o:21, a:1, s:1, b:0).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Starting Search:
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 8762
% 12.76/13.17 Kept: 2071
% 12.76/13.17 Inuse: 104
% 12.76/13.17 Deleted: 1
% 12.76/13.17 Deletedinuse: 0
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 15344
% 12.76/13.17 Kept: 4216
% 12.76/13.17 Inuse: 131
% 12.76/13.17 Deleted: 2
% 12.76/13.17 Deletedinuse: 1
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 26987
% 12.76/13.17 Kept: 6239
% 12.76/13.17 Inuse: 172
% 12.76/13.17 Deleted: 2
% 12.76/13.17 Deletedinuse: 1
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 42468
% 12.76/13.17 Kept: 8285
% 12.76/13.17 Inuse: 228
% 12.76/13.17 Deleted: 8
% 12.76/13.17 Deletedinuse: 6
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 50985
% 12.76/13.17 Kept: 10297
% 12.76/13.17 Inuse: 266
% 12.76/13.17 Deleted: 8
% 12.76/13.17 Deletedinuse: 6
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 63841
% 12.76/13.17 Kept: 12299
% 12.76/13.17 Inuse: 314
% 12.76/13.17 Deleted: 30
% 12.76/13.17 Deletedinuse: 24
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 73752
% 12.76/13.17 Kept: 14299
% 12.76/13.17 Inuse: 356
% 12.76/13.17 Deleted: 41
% 12.76/13.17 Deletedinuse: 35
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 84351
% 12.76/13.17 Kept: 16345
% 12.76/13.17 Inuse: 400
% 12.76/13.17 Deleted: 128
% 12.76/13.17 Deletedinuse: 100
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 97937
% 12.76/13.17 Kept: 18362
% 12.76/13.17 Inuse: 432
% 12.76/13.17 Deleted: 132
% 12.76/13.17 Deletedinuse: 101
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying clauses:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 124526
% 12.76/13.17 Kept: 20384
% 12.76/13.17 Inuse: 503
% 12.76/13.17 Deleted: 6983
% 12.76/13.17 Deletedinuse: 104
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 136216
% 12.76/13.17 Kept: 22384
% 12.76/13.17 Inuse: 544
% 12.76/13.17 Deleted: 7029
% 12.76/13.17 Deletedinuse: 145
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 146685
% 12.76/13.17 Kept: 24472
% 12.76/13.17 Inuse: 562
% 12.76/13.17 Deleted: 7047
% 12.76/13.17 Deletedinuse: 152
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 153745
% 12.76/13.17 Kept: 26544
% 12.76/13.17 Inuse: 587
% 12.76/13.17 Deleted: 7058
% 12.76/13.17 Deletedinuse: 154
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 164894
% 12.76/13.17 Kept: 28707
% 12.76/13.17 Inuse: 620
% 12.76/13.17 Deleted: 7065
% 12.76/13.17 Deletedinuse: 156
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 176953
% 12.76/13.17 Kept: 30743
% 12.76/13.17 Inuse: 646
% 12.76/13.17 Deleted: 7079
% 12.76/13.17 Deletedinuse: 170
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 186269
% 12.76/13.17 Kept: 32994
% 12.76/13.17 Inuse: 668
% 12.76/13.17 Deleted: 7079
% 12.76/13.17 Deletedinuse: 170
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 196121
% 12.76/13.17 Kept: 35008
% 12.76/13.17 Inuse: 682
% 12.76/13.17 Deleted: 7081
% 12.76/13.17 Deletedinuse: 170
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 205120
% 12.76/13.17 Kept: 37071
% 12.76/13.17 Inuse: 712
% 12.76/13.17 Deleted: 7084
% 12.76/13.17 Deletedinuse: 172
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Intermediate Status:
% 12.76/13.17 Generated: 212960
% 12.76/13.17 Kept: 39074
% 12.76/13.17 Inuse: 742
% 12.76/13.17 Deleted: 7084
% 12.76/13.17 Deletedinuse: 172
% 12.76/13.17
% 12.76/13.17 Resimplifying inuse:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17 Resimplifying clauses:
% 12.76/13.17 Done
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 Bliksems!, er is een bewijs:
% 12.76/13.17 % SZS status Unsatisfiable
% 12.76/13.17 % SZS output start Refutation
% 12.76/13.17
% 12.76/13.17 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 12.76/13.17 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 12.76/13.17 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 12.76/13.17 )
% 12.76/13.17 .
% 12.76/13.17 clause( 22, [ ~( sum( x, multiply( x, y ), x ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 12.76/13.17 ) ), product( Z, U, U ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 52, [ ~( sum( multiply( x, y ), x, x ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 60, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 12.76/13.17 U, W ) ), sum( multiply( X, T ), Z, W ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 73, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 12.76/13.17 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 87, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 12.76/13.17 T ) ), sum( Z, T, Z ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 98, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, Y ) ), sum( multiply(
% 12.76/13.17 X, T ), Z, Z ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 147, [ ~( product( X, 'multiplicative_identity', Y ) ), =( X, Y ) ]
% 12.76/13.17 )
% 12.76/13.17 .
% 12.76/13.17 clause( 852, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 883, [ ~( sum( multiply( X, y ), X, X ) ), ~( sum( Y, Z, x ) ), ~(
% 12.76/13.17 sum( Y, Z, X ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 6303, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 12.76/13.17 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 14432, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 12.76/13.17 'additive_identity', Y, 'additive_identity' ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 14457, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 12.76/13.17 ), 'additive_identity' ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 14746, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 12.76/13.17 ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 14783, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 12.76/13.17 )
% 12.76/13.17 .
% 12.76/13.17 clause( 15846, [ ~( sum( X, 'multiplicative_identity',
% 12.76/13.17 'multiplicative_identity' ) ), sum( multiply( Y, X ), Y, Y ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 20068, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 20165, [ product( add( X, Y ), X, X ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 20988, [ =( add( 'multiplicative_identity', X ),
% 12.76/13.17 'multiplicative_identity' ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 21031, [ sum( X, 'multiplicative_identity',
% 12.76/13.17 'multiplicative_identity' ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 40128, [ sum( multiply( Y, X ), Y, Y ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 40179, [ ~( sum( Y, Z, x ) ), ~( sum( Y, Z, X ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 40182, [ ~( sum( X, Y, x ) ) ] )
% 12.76/13.17 .
% 12.76/13.17 clause( 40214, [] )
% 12.76/13.17 .
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 % SZS output end Refutation
% 12.76/13.17 found a proof!
% 12.76/13.17
% 12.76/13.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.76/13.17
% 12.76/13.17 initialclauses(
% 12.76/13.17 [ clause( 40216, [ sum( X, Y, add( X, Y ) ) ] )
% 12.76/13.17 , clause( 40217, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 , clause( 40218, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 , clause( 40219, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 12.76/13.17 , clause( 40220, [ sum( 'additive_identity', X, X ) ] )
% 12.76/13.17 , clause( 40221, [ sum( X, 'additive_identity', X ) ] )
% 12.76/13.17 , clause( 40222, [ product( 'multiplicative_identity', X, X ) ] )
% 12.76/13.17 , clause( 40223, [ product( X, 'multiplicative_identity', X ) ] )
% 12.76/13.17 , clause( 40224, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 12.76/13.17 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40225, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 12.76/13.17 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 12.76/13.17 , clause( 40226, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 12.76/13.17 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40227, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 12.76/13.17 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 12.76/13.17 , clause( 40228, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 12.76/13.17 , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40229, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 12.76/13.17 , T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 12.76/13.17 , clause( 40230, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 12.76/13.17 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40231, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 12.76/13.17 , T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 12.76/13.17 , clause( 40232, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 12.76/13.17 , clause( 40233, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 12.76/13.17 , clause( 40234, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 12.76/13.17 , clause( 40235, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 12.76/13.17 , clause( 40236, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 12.76/13.17 , clause( 40237, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 12.76/13.17 T ) ] )
% 12.76/13.17 , clause( 40238, [ ~( sum( x, multiply( x, y ), x ) ) ] )
% 12.76/13.17 ] ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 12.76/13.17 , clause( 40216, [ sum( X, Y, add( X, Y ) ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.76/13.17 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 , clause( 40217, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.76/13.17 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 , clause( 40218, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.76/13.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 12.76/13.17 , clause( 40219, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.76/13.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 12.76/13.17 , clause( 40220, [ sum( 'additive_identity', X, X ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 12.76/13.17 , clause( 40221, [ sum( X, 'additive_identity', X ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 12.76/13.17 , clause( 40223, [ product( X, 'multiplicative_identity', X ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 12.76/13.17 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40224, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 12.76/13.17 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.76/13.17 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 12.76/13.17 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 12.76/13.17 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 , clause( 40230, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 12.76/13.17 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.76/13.17 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 12.76/13.17 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 12.76/13.17 , clause( 40235, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 12.76/13.17 , clause( 40236, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.76/13.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 12.76/13.17 )
% 12.76/13.17 , clause( 40237, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 12.76/13.17 T ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.76/13.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 22, [ ~( sum( x, multiply( x, y ), x ) ) ] )
% 12.76/13.17 , clause( 40238, [ ~( sum( x, multiply( x, y ), x ) ) ] )
% 12.76/13.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 factor(
% 12.76/13.17 clause( 40387, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 12.76/13.17 , T ) ), product( Z, U, U ) ] )
% 12.76/13.17 , clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 12.76/13.17 , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 12.76/13.17 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 12.76/13.17 :=( U, U ), :=( W, T ), :=( V0, U )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 12.76/13.17 ) ), product( Z, U, U ) ] )
% 12.76/13.17 , clause( 40387, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 12.76/13.17 , T, T ) ), product( Z, U, U ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.76/13.17 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 12.76/13.17 , 3 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 resolution(
% 12.76/13.17 clause( 40389, [ sum( Y, X, add( X, Y ) ) ] )
% 12.76/13.17 , clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 , 0, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 12.76/13.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 12.76/13.17 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 12.76/13.17 , clause( 40389, [ sum( Y, X, add( X, Y ) ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.76/13.17 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 resolution(
% 12.76/13.17 clause( 40390, [ ~( sum( multiply( x, y ), x, x ) ) ] )
% 12.76/13.17 , clause( 22, [ ~( sum( x, multiply( x, y ), x ) ) ] )
% 12.76/13.17 , 0, clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 12.76/13.17 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( x, y ) ),
% 12.76/13.17 :=( Y, x ), :=( Z, x )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 52, [ ~( sum( multiply( x, y ), x, x ) ) ] )
% 12.76/13.17 , clause( 40390, [ ~( sum( multiply( x, y ), x, x ) ) ] )
% 12.76/13.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 resolution(
% 12.76/13.17 clause( 40391, [ product( Y, X, multiply( X, Y ) ) ] )
% 12.76/13.17 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 12.76/13.17 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 12.76/13.17 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 12.76/13.17 , clause( 40391, [ product( Y, X, multiply( X, Y ) ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 12.76/13.17 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 resolution(
% 12.76/13.17 clause( 40392, [ ~( product( X, Z, T ) ), ~( sum( Y, Z, U ) ), ~( product(
% 12.76/13.17 X, U, W ) ), sum( multiply( X, Y ), T, W ) ] )
% 12.76/13.17 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 12.76/13.17 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 12.76/13.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) ),
% 12.76/13.17 :=( T, Z ), :=( U, T ), :=( W, U ), :=( V0, W )] ), substitution( 1, [
% 12.76/13.17 :=( X, X ), :=( Y, Y )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 60, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X,
% 12.76/13.17 U, W ) ), sum( multiply( X, T ), Z, W ) ] )
% 12.76/13.17 , clause( 40392, [ ~( product( X, Z, T ) ), ~( sum( Y, Z, U ) ), ~( product(
% 12.76/13.17 X, U, W ) ), sum( multiply( X, Y ), T, W ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z ), :=( U
% 12.76/13.17 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 12.76/13.17 , 2 ), ==>( 3, 3 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 resolution(
% 12.76/13.17 clause( 40398, [ ~( product( X, Y, Z ) ), ~( product( X,
% 12.76/13.17 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 12.76/13.17 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 12.76/13.17 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 12.76/13.17 , 2, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 12.76/13.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 12.76/13.17 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 12.76/13.17 substitution( 1, [ :=( X, Y )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 73, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 12.76/13.17 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 12.76/13.17 , clause( 40398, [ ~( product( X, Y, Z ) ), ~( product( X,
% 12.76/13.17 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 12.76/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.76/13.17 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 12.76/13.17 , 3 )] ) ).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 factor(
% 12.76/13.17 clause( 40404, [ ~( product( X, Y, Z ) ), ~( product( X,
% 12.76/13.17 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 12.76/13.17 , clause( 73, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 12.76/13.17 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 12.76/13.17 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 12.76/13.17 :=( U, Z )] )).
% 12.76/13.17
% 12.76/13.17
% 12.76/13.17 subsumption(
% 12.76/13.17 clause( 87, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 12.76/13.17 T ) ), sum( Z, T, Z ) ] )
% 12.76/13.17 , clause( 40404, [ ~( product( X, Y, Z ) ), ~( product( X,
% 12.92/13.37 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 12.92/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.92/13.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 factor(
% 12.92/13.37 clause( 40407, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, Y ) ), sum(
% 12.92/13.37 multiply( X, T ), Z, Z ) ] )
% 12.92/13.37 , clause( 60, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 12.92/13.37 , U, W ) ), sum( multiply( X, T ), Z, W ) ] )
% 12.92/13.37 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 12.92/13.37 :=( U, Y ), :=( W, Z )] )).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 subsumption(
% 12.92/13.37 clause( 98, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, Y ) ), sum( multiply(
% 12.92/13.37 X, T ), Z, Z ) ] )
% 12.92/13.37 , clause( 40407, [ ~( product( X, Y, Z ) ), ~( sum( T, Y, Y ) ), sum(
% 12.92/13.37 multiply( X, T ), Z, Z ) ] )
% 12.92/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 12.92/13.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 resolution(
% 12.92/13.37 clause( 40408, [ ~( product( X, 'multiplicative_identity', Y ) ), =( X, Y )
% 12.92/13.37 ] )
% 12.92/13.37 , clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 12.92/13.37 ] )
% 12.92/13.37 , 0, clause( 7, [ product( X, 'multiplicative_identity', X ) ] )
% 12.92/13.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' ),
% 12.92/13.37 :=( Z, X ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 subsumption(
% 12.92/13.37 clause( 147, [ ~( product( X, 'multiplicative_identity', Y ) ), =( X, Y ) ]
% 12.92/13.37 )
% 12.92/13.37 , clause( 40408, [ ~( product( X, 'multiplicative_identity', Y ) ), =( X, Y
% 12.92/13.37 ) ] )
% 12.92/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.92/13.37 ), ==>( 1, 1 )] ) ).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 resolution(
% 12.92/13.37 clause( 40410, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 12.92/13.37 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 12.92/13.37 , 0, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 12.92/13.37 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 12.92/13.37 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 subsumption(
% 12.92/13.37 clause( 852, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 12.92/13.37 , clause( 40410, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 12.92/13.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.92/13.37 ), ==>( 1, 1 )] ) ).
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 assignments is full
% 12.92/13.37
% 12.92/13.37 Memory use:
% 12.92/13.37
% 12.92/13.37 space for terms: 577699
% 12.92/13.37 space for clauses: 1571670
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 clauses generated: 217497
% 12.92/13.37 clauses kept: 40215
% 12.92/13.37 clauses selected: 757
% 12.92/13.37 clauses deleted: 10941
% 12.92/13.37 clauses inuse deleted: 172
% 12.92/13.37
% 12.92/13.37 subsentry: 3758802
% 12.92/13.37 literals s-matched: 1495162
% 12.92/13.37 literals matched: 934302
% 12.92/13.37 full subsumption: 443791
% 12.92/13.37
% 12.92/13.37 checksum: -2061359124
% 12.92/13.37
% 12.92/13.37
% 12.92/13.37 Bliksem ended
%------------------------------------------------------------------------------