TSTP Solution File: BOO009-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:30:36 EDT 2022
% Result : Unsatisfiable 6.21s 6.65s
% Output : Refutation 6.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : Wed Jun 1 21:35:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 6.21/6.65 *** allocated 10000 integers for termspace/termends
% 6.21/6.65 *** allocated 10000 integers for clauses
% 6.21/6.65 *** allocated 10000 integers for justifications
% 6.21/6.65 Bliksem 1.12
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Automatic Strategy Selection
% 6.21/6.65
% 6.21/6.65 Clauses:
% 6.21/6.65 [
% 6.21/6.65 [ sum( X, Y, add( X, Y ) ) ],
% 6.21/6.65 [ product( X, Y, multiply( X, Y ) ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 6.21/6.65 [ sum( 'additive_identity', X, X ) ],
% 6.21/6.65 [ sum( X, 'additive_identity', X ) ],
% 6.21/6.65 [ product( 'multiplicative_identity', X, X ) ],
% 6.21/6.65 [ product( X, 'multiplicative_identity', X ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 6.21/6.65 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 6.21/6.65 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 6.21/6.65 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 6.21/6.65 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 6.21/6.65 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 6.21/6.65 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 6.21/6.65 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 6.21/6.65 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 6.21/6.65 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 6.21/6.65 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 6.21/6.65 [ product( inverse( X ), X, 'additive_identity' ) ],
% 6.21/6.65 [ product( X, inverse( X ), 'additive_identity' ) ],
% 6.21/6.65 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 6.21/6.65 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 6.21/6.65 [ ~( product( x, add( x, y ), x ) ) ]
% 6.21/6.65 ] .
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 percentage equality = 0.032787, percentage horn = 1.000000
% 6.21/6.65 This is a problem with some equality
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Options Used:
% 6.21/6.65
% 6.21/6.65 useres = 1
% 6.21/6.65 useparamod = 1
% 6.21/6.65 useeqrefl = 1
% 6.21/6.65 useeqfact = 1
% 6.21/6.65 usefactor = 1
% 6.21/6.65 usesimpsplitting = 0
% 6.21/6.65 usesimpdemod = 5
% 6.21/6.65 usesimpres = 3
% 6.21/6.65
% 6.21/6.65 resimpinuse = 1000
% 6.21/6.65 resimpclauses = 20000
% 6.21/6.65 substype = eqrewr
% 6.21/6.65 backwardsubs = 1
% 6.21/6.65 selectoldest = 5
% 6.21/6.65
% 6.21/6.65 litorderings [0] = split
% 6.21/6.65 litorderings [1] = extend the termordering, first sorting on arguments
% 6.21/6.65
% 6.21/6.65 termordering = kbo
% 6.21/6.65
% 6.21/6.65 litapriori = 0
% 6.21/6.65 termapriori = 1
% 6.21/6.65 litaposteriori = 0
% 6.21/6.65 termaposteriori = 0
% 6.21/6.65 demodaposteriori = 0
% 6.21/6.65 ordereqreflfact = 0
% 6.21/6.65
% 6.21/6.65 litselect = negord
% 6.21/6.65
% 6.21/6.65 maxweight = 15
% 6.21/6.65 maxdepth = 30000
% 6.21/6.65 maxlength = 115
% 6.21/6.65 maxnrvars = 195
% 6.21/6.65 excuselevel = 1
% 6.21/6.65 increasemaxweight = 1
% 6.21/6.65
% 6.21/6.65 maxselected = 10000000
% 6.21/6.65 maxnrclauses = 10000000
% 6.21/6.65
% 6.21/6.65 showgenerated = 0
% 6.21/6.65 showkept = 0
% 6.21/6.65 showselected = 0
% 6.21/6.65 showdeleted = 0
% 6.21/6.65 showresimp = 1
% 6.21/6.65 showstatus = 2000
% 6.21/6.65
% 6.21/6.65 prologoutput = 1
% 6.21/6.65 nrgoals = 5000000
% 6.21/6.65 totalproof = 1
% 6.21/6.65
% 6.21/6.65 Symbols occurring in the translation:
% 6.21/6.65
% 6.21/6.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.21/6.65 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 6.21/6.65 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 6.21/6.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.21/6.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.21/6.65 add [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 6.21/6.65 sum [42, 3] (w:1, o:55, a:1, s:1, b:0),
% 6.21/6.65 multiply [43, 2] (w:1, o:54, a:1, s:1, b:0),
% 6.21/6.65 product [44, 3] (w:1, o:56, a:1, s:1, b:0),
% 6.21/6.65 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.21/6.65 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.21/6.65 inverse [52, 1] (w:1, o:27, a:1, s:1, b:0),
% 6.21/6.65 x [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 6.21/6.65 y [56, 0] (w:1, o:21, a:1, s:1, b:0).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Starting Search:
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 8754
% 6.21/6.65 Kept: 2020
% 6.21/6.65 Inuse: 106
% 6.21/6.65 Deleted: 1
% 6.21/6.65 Deletedinuse: 0
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 14641
% 6.21/6.65 Kept: 4067
% 6.21/6.65 Inuse: 129
% 6.21/6.65 Deleted: 2
% 6.21/6.65 Deletedinuse: 1
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 25309
% 6.21/6.65 Kept: 6073
% 6.21/6.65 Inuse: 166
% 6.21/6.65 Deleted: 2
% 6.21/6.65 Deletedinuse: 1
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 43641
% 6.21/6.65 Kept: 8093
% 6.21/6.65 Inuse: 231
% 6.21/6.65 Deleted: 8
% 6.21/6.65 Deletedinuse: 6
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 51502
% 6.21/6.65 Kept: 10097
% 6.21/6.65 Inuse: 258
% 6.21/6.65 Deleted: 8
% 6.21/6.65 Deletedinuse: 6
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 58786
% 6.21/6.65 Kept: 12157
% 6.21/6.65 Inuse: 286
% 6.21/6.65 Deleted: 9
% 6.21/6.65 Deletedinuse: 7
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 66113
% 6.21/6.65 Kept: 14174
% 6.21/6.65 Inuse: 314
% 6.21/6.65 Deleted: 9
% 6.21/6.65 Deletedinuse: 7
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 73791
% 6.21/6.65 Kept: 16184
% 6.21/6.65 Inuse: 342
% 6.21/6.65 Deleted: 9
% 6.21/6.65 Deletedinuse: 7
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 83950
% 6.21/6.65 Kept: 18186
% 6.21/6.65 Inuse: 383
% 6.21/6.65 Deleted: 57
% 6.21/6.65 Deletedinuse: 53
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying clauses:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 95622
% 6.21/6.65 Kept: 20229
% 6.21/6.65 Inuse: 422
% 6.21/6.65 Deleted: 5468
% 6.21/6.65 Deletedinuse: 67
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 108698
% 6.21/6.65 Kept: 22728
% 6.21/6.65 Inuse: 459
% 6.21/6.65 Deleted: 5471
% 6.21/6.65 Deletedinuse: 68
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Intermediate Status:
% 6.21/6.65 Generated: 120003
% 6.21/6.65 Kept: 24794
% 6.21/6.65 Inuse: 489
% 6.21/6.65 Deleted: 5471
% 6.21/6.65 Deletedinuse: 68
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65 Done
% 6.21/6.65
% 6.21/6.65 Resimplifying inuse:
% 6.21/6.65
% 6.21/6.65 Bliksems!, er is een bewijs:
% 6.21/6.65 % SZS status Unsatisfiable
% 6.21/6.65 % SZS output start Refutation
% 6.21/6.65
% 6.21/6.65 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 6.21/6.65 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 6.21/6.65 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 22, [ ~( product( x, add( x, y ), x ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 6.21/6.65 ) ), product( Z, U, U ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 52, [ ~( product( add( x, y ), x, x ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 T ) ), sum( Z, T, Z ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 832, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 837, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 880, [ =( add( X, 'additive_identity' ), X ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 6305, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 9161, [ =( add( X, Y ), add( Y, X ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 9564, [ ~( product( add( y, x ), x, x ) ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 17037, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 6.21/6.65 'additive_identity', Y, 'additive_identity' ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 17080, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 6.21/6.65 ), 'additive_identity' ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 17114, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 6.21/6.65 ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 17168, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.21/6.65 )
% 6.21/6.65 .
% 6.21/6.65 clause( 20215, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 25275, [ product( add( X, Y ), Y, Y ) ] )
% 6.21/6.65 .
% 6.21/6.65 clause( 25810, [] )
% 6.21/6.65 .
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 % SZS output end Refutation
% 6.21/6.65 found a proof!
% 6.21/6.65
% 6.21/6.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.21/6.65
% 6.21/6.65 initialclauses(
% 6.21/6.65 [ clause( 25812, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , clause( 25813, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.21/6.65 , clause( 25814, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.21/6.65 , clause( 25815, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 , clause( 25816, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 , clause( 25817, [ sum( X, 'additive_identity', X ) ] )
% 6.21/6.65 , clause( 25818, [ product( 'multiplicative_identity', X, X ) ] )
% 6.21/6.65 , clause( 25819, [ product( X, 'multiplicative_identity', X ) ] )
% 6.21/6.65 , clause( 25820, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.21/6.65 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25821, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.21/6.65 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 6.21/6.65 , clause( 25822, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 6.21/6.65 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25823, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 6.21/6.65 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 6.21/6.65 , clause( 25824, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 6.21/6.65 , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25825, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 6.21/6.65 , T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 6.21/6.65 , clause( 25826, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 6.21/6.65 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25827, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 6.21/6.65 , T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 6.21/6.65 , clause( 25828, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 6.21/6.65 , clause( 25829, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 6.21/6.65 , clause( 25830, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 6.21/6.65 , clause( 25831, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 6.21/6.65 , clause( 25832, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 , clause( 25833, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 6.21/6.65 T ) ] )
% 6.21/6.65 , clause( 25834, [ ~( product( x, add( x, y ), x ) ) ] )
% 6.21/6.65 ] ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , clause( 25812, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.21/6.65 , clause( 25813, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.21/6.65 , clause( 25814, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 , clause( 25815, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 , clause( 25816, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 6.21/6.65 , clause( 25817, [ sum( X, 'additive_identity', X ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 6.21/6.65 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25820, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.21/6.65 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.21/6.65 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 6.21/6.65 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 6.21/6.65 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 , clause( 25826, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 6.21/6.65 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.21/6.65 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 6.21/6.65 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 6.21/6.65 , clause( 25831, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 , clause( 25832, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 22, [ ~( product( x, add( x, y ), x ) ) ] )
% 6.21/6.65 , clause( 25834, [ ~( product( x, add( x, y ), x ) ) ] )
% 6.21/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 factor(
% 6.21/6.65 clause( 25953, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 6.21/6.65 , T ) ), product( Z, U, U ) ] )
% 6.21/6.65 , clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 6.21/6.65 , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 6.21/6.65 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 6.21/6.65 :=( U, U ), :=( W, T ), :=( V0, U )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 6.21/6.65 ) ), product( Z, U, U ) ] )
% 6.21/6.65 , clause( 25953, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 6.21/6.65 , T, T ) ), product( Z, U, U ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.21/6.65 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 6.21/6.65 , 3 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25955, [ sum( Y, X, add( X, Y ) ) ] )
% 6.21/6.65 , clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.21/6.65 , 0, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 6.21/6.65 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 6.21/6.65 , clause( 25955, [ sum( Y, X, add( X, Y ) ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25956, [ ~( product( add( x, y ), x, x ) ) ] )
% 6.21/6.65 , clause( 22, [ ~( product( x, add( x, y ), x ) ) ] )
% 6.21/6.65 , 0, clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, add( x, y ) ), :=( Y
% 6.21/6.65 , x ), :=( Z, x )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 52, [ ~( product( add( x, y ), x, x ) ) ] )
% 6.21/6.65 , clause( 25956, [ ~( product( add( x, y ), x, x ) ) ] )
% 6.21/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25957, [ product( Y, X, multiply( X, Y ) ) ] )
% 6.21/6.65 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 6.21/6.65 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 6.21/6.65 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 6.21/6.65 , clause( 25957, [ product( Y, X, multiply( X, Y ) ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25958, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.21/6.65 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.21/6.65 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 6.21/6.65 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.21/6.65 , 2, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 6.21/6.65 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 6.21/6.65 substitution( 1, [ :=( X, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.21/6.65 , clause( 25958, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.21/6.65 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.21/6.65 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 6.21/6.65 , 3 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 factor(
% 6.21/6.65 clause( 25964, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.21/6.65 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 6.21/6.65 , clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 6.21/6.65 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.21/6.65 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 6.21/6.65 :=( U, Z )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 T ) ), sum( Z, T, Z ) ] )
% 6.21/6.65 , clause( 25964, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.21/6.65 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25967, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 , 0, clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( Y, X ) ), :=( T
% 6.21/6.65 , Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 832, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 , clause( 25967, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25969, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 6.21/6.65 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.21/6.65 , 0, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 6.21/6.65 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 837, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 6.21/6.65 , clause( 25969, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 eqswap(
% 6.21/6.65 clause( 25971, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 6.21/6.65 , clause( 837, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 6.21/6.65 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25972, [ =( add( X, 'additive_identity' ), X ) ] )
% 6.21/6.65 , clause( 25971, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 6.21/6.65 , 1, clause( 51, [ sum( X, Y, add( Y, X ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( X, 'additive_identity' ) )] )
% 6.21/6.65 , substitution( 1, [ :=( X, 'additive_identity' ), :=( Y, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 880, [ =( add( X, 'additive_identity' ), X ) ] )
% 6.21/6.65 , clause( 25972, [ =( add( X, 'additive_identity' ), X ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25975, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 6.21/6.65 , T ) ), product( Z, U, U ) ] )
% 6.21/6.65 , 1, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 6.21/6.65 'additive_identity' ), :=( U, Y )] ), substitution( 1, [ :=( X, Y )] )
% 6.21/6.65 ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 6305, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , clause( 25975, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 6.21/6.65 , 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 eqswap(
% 6.21/6.65 clause( 25976, [ =( Z, add( X, Y ) ), ~( sum( Y, X, Z ) ) ] )
% 6.21/6.65 , clause( 832, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25977, [ =( add( X, Y ), add( Y, X ) ) ] )
% 6.21/6.65 , clause( 25976, [ =( Z, add( X, Y ) ), ~( sum( Y, X, Z ) ) ] )
% 6.21/6.65 , 1, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, add( X, Y ) )] ),
% 6.21/6.65 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 9161, [ =( add( X, Y ), add( Y, X ) ) ] )
% 6.21/6.65 , clause( 25977, [ =( add( X, Y ), add( Y, X ) ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 paramod(
% 6.21/6.65 clause( 25978, [ ~( product( add( y, x ), x, x ) ) ] )
% 6.21/6.65 , clause( 9161, [ =( add( X, Y ), add( Y, X ) ) ] )
% 6.21/6.65 , 0, clause( 52, [ ~( product( add( x, y ), x, x ) ) ] )
% 6.21/6.65 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, y )] ), substitution( 1, [] )
% 6.21/6.65 ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 9564, [ ~( product( add( y, x ), x, x ) ) ] )
% 6.21/6.65 , clause( 25978, [ ~( product( add( y, x ), x, x ) ) ] )
% 6.21/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25980, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 6.21/6.65 'additive_identity', Y, 'additive_identity' ) ] )
% 6.21/6.65 , clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 6.21/6.65 , T ) ), sum( Z, T, Z ) ] )
% 6.21/6.65 , 0, clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 6.21/6.65 'additive_identity' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 6.21/6.65 ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 17037, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 6.21/6.65 'additive_identity', Y, 'additive_identity' ) ] )
% 6.21/6.65 , clause( 25980, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 6.21/6.65 'additive_identity', Y, 'additive_identity' ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25981, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 6.21/6.65 ), 'additive_identity' ) ] )
% 6.21/6.65 , clause( 17037, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 6.21/6.65 'additive_identity', Y, 'additive_identity' ) ] )
% 6.21/6.65 , 0, clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 6.21/6.65 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 6.21/6.65 ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 17080, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 6.21/6.65 ), 'additive_identity' ) ] )
% 6.21/6.65 , clause( 25981, [ sum( 'additive_identity', multiply( 'additive_identity'
% 6.21/6.65 , X ), 'additive_identity' ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 eqswap(
% 6.21/6.65 clause( 25982, [ =( Z, add( X, Y ) ), ~( sum( Y, X, Z ) ) ] )
% 6.21/6.65 , clause( 832, [ ~( sum( X, Y, Z ) ), =( add( Y, X ), Z ) ] )
% 6.21/6.65 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25984, [ =( 'additive_identity', add( multiply( 'additive_identity'
% 6.21/6.65 , X ), 'additive_identity' ) ) ] )
% 6.21/6.65 , clause( 25982, [ =( Z, add( X, Y ) ), ~( sum( Y, X, Z ) ) ] )
% 6.21/6.65 , 1, clause( 17080, [ sum( 'additive_identity', multiply(
% 6.21/6.65 'additive_identity', X ), 'additive_identity' ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 6.21/6.65 , 'additive_identity' ), :=( Z, 'additive_identity' )] ), substitution( 1
% 6.21/6.65 , [ :=( X, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 paramod(
% 6.21/6.65 clause( 25985, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 6.21/6.65 ) ] )
% 6.21/6.65 , clause( 880, [ =( add( X, 'additive_identity' ), X ) ] )
% 6.21/6.65 , 0, clause( 25984, [ =( 'additive_identity', add( multiply(
% 6.21/6.65 'additive_identity', X ), 'additive_identity' ) ) ] )
% 6.21/6.65 , 0, 2, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) )] ),
% 6.21/6.65 substitution( 1, [ :=( X, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 eqswap(
% 6.21/6.65 clause( 25986, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 6.21/6.65 ) ] )
% 6.21/6.65 , clause( 25985, [ =( 'additive_identity', multiply( 'additive_identity', X
% 6.21/6.65 ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 17114, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 6.21/6.65 ) ] )
% 6.21/6.65 , clause( 25986, [ =( multiply( 'additive_identity', X ),
% 6.21/6.65 'additive_identity' ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 paramod(
% 6.21/6.65 clause( 25988, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.21/6.65 )
% 6.21/6.65 , clause( 17114, [ =( multiply( 'additive_identity', X ),
% 6.21/6.65 'additive_identity' ) ] )
% 6.21/6.65 , 0, clause( 53, [ product( X, Y, multiply( Y, X ) ) ] )
% 6.21/6.65 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.21/6.65 :=( Y, 'additive_identity' )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 17168, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.21/6.65 )
% 6.21/6.65 , clause( 25988, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.21/6.65 )
% 6.21/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25989, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , clause( 6305, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 6.21/6.65 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , 1, clause( 17168, [ product( X, 'additive_identity', 'additive_identity'
% 6.21/6.65 ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 substitution( 1, [ :=( X, X )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 20215, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , clause( 25989, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.21/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25990, [ product( add( X, Y ), Y, Y ) ] )
% 6.21/6.65 , clause( 20215, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 6.21/6.65 , 0, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 6.21/6.65 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 6.21/6.65 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 25275, [ product( add( X, Y ), Y, Y ) ] )
% 6.21/6.65 , clause( 25990, [ product( add( X, Y ), Y, Y ) ] )
% 6.21/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.21/6.65 )] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 resolution(
% 6.21/6.65 clause( 25991, [] )
% 6.21/6.65 , clause( 9564, [ ~( product( add( y, x ), x, x ) ) ] )
% 6.21/6.65 , 0, clause( 25275, [ product( add( X, Y ), Y, Y ) ] )
% 6.21/6.65 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x )] )
% 6.21/6.65 ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 subsumption(
% 6.21/6.65 clause( 25810, [] )
% 6.21/6.65 , clause( 25991, [] )
% 6.21/6.65 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 end.
% 6.21/6.65
% 6.21/6.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.21/6.65
% 6.21/6.65 Memory use:
% 6.21/6.65
% 6.21/6.65 space for terms: 362786
% 6.21/6.65 space for clauses: 1040364
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 clauses generated: 128831
% 6.21/6.65 clauses kept: 25811
% 6.21/6.65 clauses selected: 517
% 6.21/6.65 clauses deleted: 5486
% 6.21/6.65 clauses inuse deleted: 83
% 6.21/6.65
% 6.21/6.65 subsentry: 1943642
% 6.21/6.65 literals s-matched: 656525
% 6.21/6.65 literals matched: 360630
% 6.21/6.65 full subsumption: 165344
% 6.21/6.65
% 6.21/6.65 checksum: -1624986414
% 6.21/6.65
% 6.21/6.65
% 6.21/6.65 Bliksem ended
%------------------------------------------------------------------------------