TSTP Solution File: BOO004-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 23:30:33 EDT 2022
% Result : Unsatisfiable 23.04s 23.42s
% Output : Refutation 23.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 18:43:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 23.04/23.42 *** allocated 10000 integers for termspace/termends
% 23.04/23.42 *** allocated 10000 integers for clauses
% 23.04/23.42 *** allocated 10000 integers for justifications
% 23.04/23.42 Bliksem 1.12
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Automatic Strategy Selection
% 23.04/23.42
% 23.04/23.42 Clauses:
% 23.04/23.42 [
% 23.04/23.42 [ sum( X, Y, add( X, Y ) ) ],
% 23.04/23.42 [ product( X, Y, multiply( X, Y ) ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 23.04/23.42 [ sum( 'additive_identity', X, X ) ],
% 23.04/23.42 [ sum( X, 'additive_identity', X ) ],
% 23.04/23.42 [ product( 'multiplicative_identity', X, X ) ],
% 23.04/23.42 [ product( X, 'multiplicative_identity', X ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 23.04/23.42 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 23.04/23.42 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 23.04/23.42 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 23.04/23.42 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 23.04/23.42 sum( X, W, V0 ) ), product( Z, U, V0 ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y, T, W ) ), ~(
% 23.04/23.42 product( Z, U, V0 ) ), sum( X, W, V0 ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 23.04/23.42 sum( W, Y, V0 ) ), product( Z, U, V0 ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W ) ), ~(
% 23.04/23.42 product( Z, U, V0 ) ), sum( W, Y, V0 ) ],
% 23.04/23.42 [ sum( inverse( X ), X, 'multiplicative_identity' ) ],
% 23.04/23.42 [ sum( X, inverse( X ), 'multiplicative_identity' ) ],
% 23.04/23.42 [ product( inverse( X ), X, 'additive_identity' ) ],
% 23.04/23.42 [ product( X, inverse( X ), 'additive_identity' ) ],
% 23.04/23.42 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 23.04/23.42 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 23.04/23.42 [ ~( sum( x, x, x ) ) ]
% 23.04/23.42 ] .
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 percentage equality = 0.032787, percentage horn = 1.000000
% 23.04/23.42 This is a problem with some equality
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Options Used:
% 23.04/23.42
% 23.04/23.42 useres = 1
% 23.04/23.42 useparamod = 1
% 23.04/23.42 useeqrefl = 1
% 23.04/23.42 useeqfact = 1
% 23.04/23.42 usefactor = 1
% 23.04/23.42 usesimpsplitting = 0
% 23.04/23.42 usesimpdemod = 5
% 23.04/23.42 usesimpres = 3
% 23.04/23.42
% 23.04/23.42 resimpinuse = 1000
% 23.04/23.42 resimpclauses = 20000
% 23.04/23.42 substype = eqrewr
% 23.04/23.42 backwardsubs = 1
% 23.04/23.42 selectoldest = 5
% 23.04/23.42
% 23.04/23.42 litorderings [0] = split
% 23.04/23.42 litorderings [1] = extend the termordering, first sorting on arguments
% 23.04/23.42
% 23.04/23.42 termordering = kbo
% 23.04/23.42
% 23.04/23.42 litapriori = 0
% 23.04/23.42 termapriori = 1
% 23.04/23.42 litaposteriori = 0
% 23.04/23.42 termaposteriori = 0
% 23.04/23.42 demodaposteriori = 0
% 23.04/23.42 ordereqreflfact = 0
% 23.04/23.42
% 23.04/23.42 litselect = negord
% 23.04/23.42
% 23.04/23.42 maxweight = 15
% 23.04/23.42 maxdepth = 30000
% 23.04/23.42 maxlength = 115
% 23.04/23.42 maxnrvars = 195
% 23.04/23.42 excuselevel = 1
% 23.04/23.42 increasemaxweight = 1
% 23.04/23.42
% 23.04/23.42 maxselected = 10000000
% 23.04/23.42 maxnrclauses = 10000000
% 23.04/23.42
% 23.04/23.42 showgenerated = 0
% 23.04/23.42 showkept = 0
% 23.04/23.42 showselected = 0
% 23.04/23.42 showdeleted = 0
% 23.04/23.42 showresimp = 1
% 23.04/23.42 showstatus = 2000
% 23.04/23.42
% 23.04/23.42 prologoutput = 1
% 23.04/23.42 nrgoals = 5000000
% 23.04/23.42 totalproof = 1
% 23.04/23.42
% 23.04/23.42 Symbols occurring in the translation:
% 23.04/23.42
% 23.04/23.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 23.04/23.42 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 23.04/23.42 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 23.04/23.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.04/23.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.04/23.42 add [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 23.04/23.42 sum [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 23.04/23.42 multiply [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 23.04/23.42 product [44, 3] (w:1, o:55, a:1, s:1, b:0),
% 23.04/23.42 'additive_identity' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 23.04/23.42 'multiplicative_identity' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 23.04/23.42 inverse [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 23.04/23.42 x [55, 0] (w:1, o:20, a:1, s:1, b:0).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Starting Search:
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 6980
% 23.04/23.42 Kept: 2016
% 23.04/23.42 Inuse: 104
% 23.04/23.42 Deleted: 0
% 23.04/23.42 Deletedinuse: 0
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 23992
% 23.04/23.42 Kept: 4030
% 23.04/23.42 Inuse: 234
% 23.04/23.42 Deleted: 8
% 23.04/23.42 Deletedinuse: 0
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 41231
% 23.04/23.42 Kept: 6047
% 23.04/23.42 Inuse: 337
% 23.04/23.42 Deleted: 17
% 23.04/23.42 Deletedinuse: 0
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 57407
% 23.04/23.42 Kept: 8055
% 23.04/23.42 Inuse: 398
% 23.04/23.42 Deleted: 101
% 23.04/23.42 Deletedinuse: 76
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 93975
% 23.04/23.42 Kept: 10068
% 23.04/23.42 Inuse: 515
% 23.04/23.42 Deleted: 142
% 23.04/23.42 Deletedinuse: 105
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 139522
% 23.04/23.42 Kept: 12085
% 23.04/23.42 Inuse: 618
% 23.04/23.42 Deleted: 163
% 23.04/23.42 Deletedinuse: 123
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 179226
% 23.04/23.42 Kept: 14085
% 23.04/23.42 Inuse: 724
% 23.04/23.42 Deleted: 190
% 23.04/23.42 Deletedinuse: 123
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 233836
% 23.04/23.42 Kept: 16086
% 23.04/23.42 Inuse: 834
% 23.04/23.42 Deleted: 254
% 23.04/23.42 Deletedinuse: 123
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 268704
% 23.04/23.42 Kept: 18096
% 23.04/23.42 Inuse: 887
% 23.04/23.42 Deleted: 305
% 23.04/23.42 Deletedinuse: 125
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42 Resimplifying clauses:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Intermediate Status:
% 23.04/23.42 Generated: 285704
% 23.04/23.42 Kept: 20141
% 23.04/23.42 Inuse: 901
% 23.04/23.42 Deleted: 4237
% 23.04/23.42 Deletedinuse: 125
% 23.04/23.42
% 23.04/23.42 Resimplifying inuse:
% 23.04/23.42 Done
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 Bliksems!, er is een bewijs:
% 23.04/23.42 % SZS status Unsatisfiable
% 23.04/23.42 % SZS output start Refutation
% 23.04/23.42
% 23.04/23.42 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 23.04/23.42 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 23.04/23.42 T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 23.04/23.42 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 23.04/23.42 )
% 23.04/23.42 .
% 23.04/23.42 clause( 22, [ ~( sum( x, x, x ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 35, [ ~( product( X, Y, X ) ), ~( product( Z, Y, Z ) ), ~( sum( X,
% 23.04/23.42 Z, T ) ), product( T, Y, T ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 36, [ ~( product( X, Y, X ) ), ~( sum( X, X, Z ) ), product( Z, Y,
% 23.04/23.42 Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 23.04/23.42 ) ), product( Z, U, U ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 47, [ ~( sum( X, Y, Z ) ), ~( product( X, X, X ) ), product( Z, Z,
% 23.04/23.42 Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 52, [ sum( X, Y, add( Y, X ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 60, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 23.04/23.42 T, W ) ), sum( Z, U, multiply( X, W ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 70, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y,
% 23.04/23.42 Z, T ) ), ~( product( X, T, x ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 T ) ), sum( Z, T, Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 92, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y,
% 23.04/23.42 Z, Z ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 93, [ ~( product( X, Y, x ) ), ~( sum( Y, Y, Y ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 99, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, T ) ), sum( Z, Z,
% 23.04/23.42 multiply( X, T ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 102, [ ~( sum( X, X, X ) ), ~( product( X, Y, x ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 844, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 3043, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6259, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 23.04/23.42 'additive_identity', Y, 'additive_identity' ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6269, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 23.04/23.42 ), 'additive_identity' ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6299, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 23.04/23.42 ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6318, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6319, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6403, [ ~( product( 'additive_identity', X, Y ) ), =(
% 23.04/23.42 'additive_identity', Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6649, [ sum( X, Y, Y ), ~( product( 'additive_identity', Z, X ) ) ]
% 23.04/23.42 )
% 23.04/23.42 .
% 23.04/23.42 clause( 6980, [ ~( product( 'additive_identity', X, Y ) ), ~( product( Y, Y
% 23.04/23.42 , Y ) ), product( Z, Z, Z ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 6988, [ product( X, X, X ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 7037, [ ~( sum( X, X, Y ) ), product( Y, X, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 7057, [ ~( product( X, X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 7131, [ =( multiply( X, X ), X ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 8890, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), sum( Y, Y,
% 23.04/23.42 multiply( Y, Z ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 8903, [ ~( sum( X, X, Y ) ), sum( Y, Y, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 8921, [ ~( sum( X, X, Y ) ), ~( product( Y, Z, x ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 20001, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 20800, [ ~( sum( X, x, Y ) ), ~( sum( Z, Z, Y ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 20874, [ ~( sum( x, x, X ) ) ] )
% 23.04/23.42 .
% 23.04/23.42 clause( 21169, [] )
% 23.04/23.42 .
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 % SZS output end Refutation
% 23.04/23.42 found a proof!
% 23.04/23.42
% 23.04/23.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.04/23.42
% 23.04/23.42 initialclauses(
% 23.04/23.42 [ clause( 21171, [ sum( X, Y, add( X, Y ) ) ] )
% 23.04/23.42 , clause( 21172, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 , clause( 21173, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 23.04/23.42 , clause( 21174, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 , clause( 21175, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 , clause( 21176, [ sum( X, 'additive_identity', X ) ] )
% 23.04/23.42 , clause( 21177, [ product( 'multiplicative_identity', X, X ) ] )
% 23.04/23.42 , clause( 21178, [ product( X, 'multiplicative_identity', X ) ] )
% 23.04/23.42 , clause( 21179, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21180, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 23.04/23.42 , clause( 21181, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 23.04/23.42 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21182, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 23.04/23.42 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 23.04/23.42 , clause( 21183, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 23.04/23.42 , T, W ) ), ~( sum( X, W, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21184, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, U ) ), ~( product( Y
% 23.04/23.42 , T, W ) ), ~( product( Z, U, V0 ) ), sum( X, W, V0 ) ] )
% 23.04/23.42 , clause( 21185, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 23.04/23.42 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21186, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 23.04/23.42 , T, W ) ), ~( product( Z, U, V0 ) ), sum( W, Y, V0 ) ] )
% 23.04/23.42 , clause( 21187, [ sum( inverse( X ), X, 'multiplicative_identity' ) ] )
% 23.04/23.42 , clause( 21188, [ sum( X, inverse( X ), 'multiplicative_identity' ) ] )
% 23.04/23.42 , clause( 21189, [ product( inverse( X ), X, 'additive_identity' ) ] )
% 23.04/23.42 , clause( 21190, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 23.04/23.42 , clause( 21191, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 23.04/23.42 , clause( 21192, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 23.04/23.42 T ) ] )
% 23.04/23.42 , clause( 21193, [ ~( sum( x, x, x ) ) ] )
% 23.04/23.42 ] ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 23.04/23.42 , clause( 21171, [ sum( X, Y, add( X, Y ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 , clause( 21172, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 23.04/23.42 , clause( 21173, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 , clause( 21174, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 , clause( 21175, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 23.04/23.42 , clause( 21176, [ sum( X, 'additive_identity', X ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T
% 23.04/23.42 , W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21179, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 23.04/23.42 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X,
% 23.04/23.42 T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 23.04/23.42 , clause( 21182, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 23.04/23.42 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 23.04/23.42 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, W
% 23.04/23.42 ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 , clause( 21185, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 23.04/23.42 , T, W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 23.04/23.42 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 23.04/23.42 , clause( 21190, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 23.04/23.42 , clause( 21191, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 23.04/23.42 )
% 23.04/23.42 , clause( 21192, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 23.04/23.42 T ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 22, [ ~( sum( x, x, x ) ) ] )
% 23.04/23.42 , clause( 21193, [ ~( sum( x, x, x ) ) ] )
% 23.04/23.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21355, [ ~( product( X, Y, X ) ), ~( product( Z, Y, Z ) ), ~( sum(
% 23.04/23.42 X, Z, T ) ), product( T, Y, T ) ] )
% 23.04/23.42 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X
% 23.04/23.42 , T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 23.04/23.42 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 23.04/23.42 :=( U, Z ), :=( W, T ), :=( V0, T )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 35, [ ~( product( X, Y, X ) ), ~( product( Z, Y, Z ) ), ~( sum( X,
% 23.04/23.42 Z, T ) ), product( T, Y, T ) ] )
% 23.04/23.42 , clause( 21355, [ ~( product( X, Y, X ) ), ~( product( Z, Y, Z ) ), ~( sum(
% 23.04/23.42 X, Z, T ) ), product( T, Y, T ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21357, [ ~( product( X, Y, X ) ), ~( sum( X, X, Z ) ), product( Z,
% 23.04/23.42 Y, Z ) ] )
% 23.04/23.42 , clause( 35, [ ~( product( X, Y, X ) ), ~( product( Z, Y, Z ) ), ~( sum( X
% 23.04/23.42 , Z, T ) ), product( T, Y, T ) ] )
% 23.04/23.42 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 36, [ ~( product( X, Y, X ) ), ~( sum( X, X, Z ) ), product( Z, Y,
% 23.04/23.42 Z ) ] )
% 23.04/23.42 , clause( 21357, [ ~( product( X, Y, X ) ), ~( sum( X, X, Z ) ), product( Z
% 23.04/23.42 , Y, Z ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21360, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 23.04/23.42 , T ) ), product( Z, U, U ) ] )
% 23.04/23.42 , clause( 14, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 23.04/23.42 , W ) ), ~( sum( W, Y, V0 ) ), product( Z, U, V0 ) ] )
% 23.04/23.42 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 23.04/23.42 :=( U, U ), :=( W, T ), :=( V0, U )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T, T
% 23.04/23.42 ) ), product( Z, U, U ) ] )
% 23.04/23.42 , clause( 21360, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X
% 23.04/23.42 , T, T ) ), product( Z, U, U ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 23.04/23.42 , 3 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21362, [ ~( sum( X, Y, Z ) ), ~( product( X, X, X ) ), product( Z,
% 23.04/23.42 Z, Z ) ] )
% 23.04/23.42 , clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 23.04/23.42 , T ) ), product( Z, U, U ) ] )
% 23.04/23.42 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 23.04/23.42 :=( U, Z )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 47, [ ~( sum( X, Y, Z ) ), ~( product( X, X, X ) ), product( Z, Z,
% 23.04/23.42 Z ) ] )
% 23.04/23.42 , clause( 21362, [ ~( sum( X, Y, Z ) ), ~( product( X, X, X ) ), product( Z
% 23.04/23.42 , Z, Z ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21363, [ product( Y, X, multiply( X, Y ) ) ] )
% 23.04/23.42 , clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )
% 23.04/23.42 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 23.04/23.42 , clause( 21363, [ product( Y, X, multiply( X, Y ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21364, [ sum( Y, X, add( X, Y ) ) ] )
% 23.04/23.42 , clause( 2, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 23.04/23.42 , 0, clause( 0, [ sum( X, Y, add( X, Y ) ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, add( X, Y ) )] ),
% 23.04/23.42 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 52, [ sum( X, Y, add( Y, X ) ) ] )
% 23.04/23.42 , clause( 21364, [ sum( Y, X, add( X, Y ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21367, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), sum( Z, U, multiply( X, W ) ) ] )
% 23.04/23.42 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 23.04/23.42 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , 3, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 23.04/23.42 :=( U, U ), :=( W, W ), :=( V0, multiply( X, W ) )] ), substitution( 1, [
% 23.04/23.42 :=( X, X ), :=( Y, W )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 60, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 23.04/23.42 T, W ) ), sum( Z, U, multiply( X, W ) ) ] )
% 23.04/23.42 , clause( 21367, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), sum( Z, U, multiply( X, W ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 23.04/23.42 , 2 ), ==>( 3, 3 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21371, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum(
% 23.04/23.42 Y, Z, T ) ), ~( product( X, T, x ) ) ] )
% 23.04/23.42 , clause( 22, [ ~( sum( x, x, x ) ) ] )
% 23.04/23.42 , 0, clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 23.04/23.42 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , 4, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 23.04/23.42 Z, x ), :=( T, Z ), :=( U, x ), :=( W, T ), :=( V0, x )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 70, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y,
% 23.04/23.42 Z, T ) ), ~( product( X, T, x ) ) ] )
% 23.04/23.42 , clause( 21371, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum(
% 23.04/23.42 Y, Z, T ) ), ~( product( X, T, x ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21376, [ ~( product( X, Y, Z ) ), ~( product( X,
% 23.04/23.42 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 23.04/23.42 , clause( 8, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 23.04/23.42 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 23.04/23.42 , 2, clause( 5, [ sum( X, 'additive_identity', X ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 23.04/23.42 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 23.04/23.42 substitution( 1, [ :=( X, Y )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 23.04/23.42 , clause( 21376, [ ~( product( X, Y, Z ) ), ~( product( X,
% 23.04/23.42 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.04/23.42 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 23.04/23.42 , 3 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21382, [ ~( product( X, Y, Z ) ), ~( product( X,
% 23.04/23.42 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 23.04/23.42 , clause( 72, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 23.04/23.42 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 23.04/23.42 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 23.04/23.42 :=( U, Z )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 T ) ), sum( Z, T, Z ) ] )
% 23.04/23.42 , clause( 21382, [ ~( product( X, Y, Z ) ), ~( product( X,
% 23.04/23.42 'additive_identity', T ) ), sum( Z, T, Z ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21387, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum(
% 23.04/23.42 Y, Z, Z ) ) ] )
% 23.04/23.42 , clause( 70, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y
% 23.04/23.42 , Z, T ) ), ~( product( X, T, x ) ) ] )
% 23.04/23.42 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 92, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y,
% 23.04/23.42 Z, Z ) ) ] )
% 23.04/23.42 , clause( 21387, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum(
% 23.04/23.42 Y, Z, Z ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21389, [ ~( product( X, Y, x ) ), ~( sum( Y, Y, Y ) ) ] )
% 23.04/23.42 , clause( 92, [ ~( product( X, Y, x ) ), ~( product( X, Z, x ) ), ~( sum( Y
% 23.04/23.42 , Z, Z ) ) ] )
% 23.04/23.42 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 93, [ ~( product( X, Y, x ) ), ~( sum( Y, Y, Y ) ) ] )
% 23.04/23.42 , clause( 21389, [ ~( product( X, Y, x ) ), ~( sum( Y, Y, Y ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 factor(
% 23.04/23.42 clause( 21390, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, T ) ), sum( Z, Z,
% 23.04/23.42 multiply( X, T ) ) ] )
% 23.04/23.42 , clause( 60, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 23.04/23.42 , T, W ) ), sum( Z, U, multiply( X, W ) ) ] )
% 23.04/23.42 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 23.04/23.42 :=( U, Z ), :=( W, T )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 99, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, T ) ), sum( Z, Z,
% 23.04/23.42 multiply( X, T ) ) ] )
% 23.04/23.42 , clause( 21390, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, T ) ), sum( Z, Z
% 23.04/23.42 , multiply( X, T ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21391, [ ~( sum( Y, Y, Y ) ), ~( product( Y, X, x ) ) ] )
% 23.04/23.42 , clause( 93, [ ~( product( X, Y, x ) ), ~( sum( Y, Y, Y ) ) ] )
% 23.04/23.42 , 0, clause( 3, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 23.04/23.42 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 23.04/23.42 , Y ), :=( Y, X ), :=( Z, x )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 102, [ ~( sum( X, X, X ) ), ~( product( X, Y, x ) ) ] )
% 23.04/23.42 , clause( 21391, [ ~( sum( Y, Y, Y ) ), ~( product( Y, X, x ) ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21392, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 , clause( 20, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 23.04/23.42 , 0, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, X
% 23.04/23.42 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 844, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 , clause( 21392, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21395, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 23.04/23.42 , clause( 46, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, U ) ), ~( product( X, T
% 23.04/23.42 , T ) ), product( Z, U, U ) ] )
% 23.04/23.42 , 1, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 23.04/23.42 'additive_identity' ), :=( U, Y )] ), substitution( 1, [ :=( X, Y )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 3043, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 23.04/23.42 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 23.04/23.42 , clause( 21395, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 23.04/23.42 , 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.04/23.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21396, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 23.04/23.42 'additive_identity', Y, 'additive_identity' ) ] )
% 23.04/23.42 , clause( 86, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 23.04/23.42 , T ) ), sum( Z, T, Z ) ] )
% 23.04/23.42 , 0, clause( 19, [ product( X, inverse( X ), 'additive_identity' ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z,
% 23.04/23.42 'additive_identity' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 6259, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 23.04/23.42 'additive_identity', Y, 'additive_identity' ) ] )
% 23.04/23.42 , clause( 21396, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 23.04/23.42 'additive_identity', Y, 'additive_identity' ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.04/23.42 ), ==>( 1, 1 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21397, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 23.04/23.42 ), 'additive_identity' ) ] )
% 23.04/23.42 , clause( 6259, [ ~( product( X, 'additive_identity', Y ) ), sum(
% 23.04/23.42 'additive_identity', Y, 'additive_identity' ) ] )
% 23.04/23.42 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', X
% 23.04/23.42 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 23.04/23.42 ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 subsumption(
% 23.04/23.42 clause( 6269, [ sum( 'additive_identity', multiply( 'additive_identity', X
% 23.04/23.42 ), 'additive_identity' ) ] )
% 23.04/23.42 , clause( 21397, [ sum( 'additive_identity', multiply( 'additive_identity'
% 23.04/23.42 , X ), 'additive_identity' ) ] )
% 23.04/23.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 eqswap(
% 23.04/23.42 clause( 21398, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 23.04/23.42 , clause( 844, [ ~( sum( 'additive_identity', X, Y ) ), =( X, Y ) ] )
% 23.04/23.42 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 resolution(
% 23.04/23.42 clause( 21399, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 23.04/23.42 ) ] )
% 23.04/23.42 , clause( 21398, [ =( Y, X ), ~( sum( 'additive_identity', X, Y ) ) ] )
% 23.04/23.42 , 1, clause( 6269, [ sum( 'additive_identity', multiply(
% 23.04/23.42 'additive_identity', X ), 'additive_identity' ) ] )
% 23.04/23.42 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 23.04/23.42 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 23.04/23.42
% 23.04/23.42
% 23.04/23.42 eqswap(
% 23.04/23.42 clause( 21400, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 23.04/23.42 ) ] )
% 23.04/23.42 , clause( 21399, [ =( 'additive_identity', multiply( 'additive_identity', X
% 24.97/25.36 ) ) ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6299, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 24.97/25.36 ) ] )
% 24.97/25.36 , clause( 21400, [ =( multiply( 'additive_identity', X ),
% 24.97/25.36 'additive_identity' ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 paramod(
% 24.97/25.36 clause( 21402, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 24.97/25.36 )
% 24.97/25.36 , clause( 6299, [ =( multiply( 'additive_identity', X ),
% 24.97/25.36 'additive_identity' ) ] )
% 24.97/25.36 , 0, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 24.97/25.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 24.97/25.36 :=( Y, 'additive_identity' )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6318, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 24.97/25.36 , clause( 21402, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 24.97/25.36 )
% 24.97/25.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 paramod(
% 24.97/25.36 clause( 21404, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 24.97/25.36 )
% 24.97/25.36 , clause( 6299, [ =( multiply( 'additive_identity', X ),
% 24.97/25.36 'additive_identity' ) ] )
% 24.97/25.36 , 0, clause( 1, [ product( X, Y, multiply( X, Y ) ) ] )
% 24.97/25.36 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 24.97/25.36 'additive_identity' ), :=( Y, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6319, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 24.97/25.36 , clause( 21404, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 24.97/25.36 )
% 24.97/25.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21405, [ ~( product( 'additive_identity', X, Y ) ), =(
% 24.97/25.36 'additive_identity', Y ) ] )
% 24.97/25.36 , clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 24.97/25.36 ] )
% 24.97/25.36 , 0, clause( 6319, [ product( 'additive_identity', X, 'additive_identity' )
% 24.97/25.36 ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z,
% 24.97/25.36 'additive_identity' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 24.97/25.36 ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6403, [ ~( product( 'additive_identity', X, Y ) ), =(
% 24.97/25.36 'additive_identity', Y ) ] )
% 24.97/25.36 , clause( 21405, [ ~( product( 'additive_identity', X, Y ) ), =(
% 24.97/25.36 'additive_identity', Y ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 24.97/25.36 ), ==>( 1, 1 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 paramod(
% 24.97/25.36 clause( 21419, [ sum( Y, X, X ), ~( product( 'additive_identity', Z, Y ) )
% 24.97/25.36 ] )
% 24.97/25.36 , clause( 6403, [ ~( product( 'additive_identity', X, Y ) ), =(
% 24.97/25.36 'additive_identity', Y ) ] )
% 24.97/25.36 , 1, clause( 4, [ sum( 'additive_identity', X, X ) ] )
% 24.97/25.36 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 24.97/25.36 :=( X, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6649, [ sum( X, Y, Y ), ~( product( 'additive_identity', Z, X ) ) ]
% 24.97/25.36 )
% 24.97/25.36 , clause( 21419, [ sum( Y, X, X ), ~( product( 'additive_identity', Z, Y )
% 24.97/25.36 ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 24.97/25.36 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21874, [ ~( product( X, X, X ) ), product( Y, Y, Y ), ~( product(
% 24.97/25.36 'additive_identity', Z, X ) ) ] )
% 24.97/25.36 , clause( 47, [ ~( sum( X, Y, Z ) ), ~( product( X, X, X ) ), product( Z, Z
% 24.97/25.36 , Z ) ] )
% 24.97/25.36 , 0, clause( 6649, [ sum( X, Y, Y ), ~( product( 'additive_identity', Z, X
% 24.97/25.36 ) ) ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 24.97/25.36 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6980, [ ~( product( 'additive_identity', X, Y ) ), ~( product( Y, Y
% 24.97/25.36 , Y ) ), product( Z, Z, Z ) ] )
% 24.97/25.36 , clause( 21874, [ ~( product( X, X, X ) ), product( Y, Y, Y ), ~( product(
% 24.97/25.36 'additive_identity', Z, X ) ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 24.97/25.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 factor(
% 24.97/25.36 clause( 21876, [ ~( product( 'additive_identity', 'additive_identity',
% 24.97/25.36 'additive_identity' ) ), product( X, X, X ) ] )
% 24.97/25.36 , clause( 6980, [ ~( product( 'additive_identity', X, Y ) ), ~( product( Y
% 24.97/25.36 , Y, Y ) ), product( Z, Z, Z ) ] )
% 24.97/25.36 , 0, 1, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y,
% 24.97/25.36 'additive_identity' ), :=( Z, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21877, [ product( X, X, X ) ] )
% 24.97/25.36 , clause( 21876, [ ~( product( 'additive_identity', 'additive_identity',
% 24.97/25.36 'additive_identity' ) ), product( X, X, X ) ] )
% 24.97/25.36 , 0, clause( 6318, [ product( X, 'additive_identity', 'additive_identity' )
% 24.97/25.36 ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 24.97/25.36 'additive_identity' )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 6988, [ product( X, X, X ) ] )
% 24.97/25.36 , clause( 21877, [ product( X, X, X ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21878, [ ~( sum( X, X, Y ) ), product( Y, X, Y ) ] )
% 24.97/25.36 , clause( 36, [ ~( product( X, Y, X ) ), ~( sum( X, X, Z ) ), product( Z, Y
% 24.97/25.36 , Z ) ] )
% 24.97/25.36 , 0, clause( 6988, [ product( X, X, X ) ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 24.97/25.36 substitution( 1, [ :=( X, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 7037, [ ~( sum( X, X, Y ) ), product( Y, X, Y ) ] )
% 24.97/25.36 , clause( 21878, [ ~( sum( X, X, Y ) ), product( Y, X, Y ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 24.97/25.36 ), ==>( 1, 1 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21879, [ ~( product( X, X, Y ) ), =( X, Y ) ] )
% 24.97/25.36 , clause( 21, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 24.97/25.36 ] )
% 24.97/25.36 , 0, clause( 6988, [ product( X, X, X ) ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 24.97/25.36 substitution( 1, [ :=( X, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 7057, [ ~( product( X, X, Y ) ), =( X, Y ) ] )
% 24.97/25.36 , clause( 21879, [ ~( product( X, X, Y ) ), =( X, Y ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 24.97/25.36 ), ==>( 1, 1 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 eqswap(
% 24.97/25.36 clause( 21881, [ =( Y, X ), ~( product( X, X, Y ) ) ] )
% 24.97/25.36 , clause( 7057, [ ~( product( X, X, Y ) ), =( X, Y ) ] )
% 24.97/25.36 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21882, [ =( multiply( X, X ), X ) ] )
% 24.97/25.36 , clause( 21881, [ =( Y, X ), ~( product( X, X, Y ) ) ] )
% 24.97/25.36 , 1, clause( 51, [ product( X, Y, multiply( Y, X ) ) ] )
% 24.97/25.36 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, X ) )] ),
% 24.97/25.36 substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 7131, [ =( multiply( X, X ), X ) ] )
% 24.97/25.36 , clause( 21882, [ =( multiply( X, X ), X ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21885, [ ~( sum( Y, Y, Z ) ), sum( X, X, multiply( X, Z ) ), ~( sum(
% 24.97/25.36 Y, Y, X ) ) ] )
% 24.97/25.36 , clause( 99, [ ~( product( X, Y, Z ) ), ~( sum( Y, Y, T ) ), sum( Z, Z,
% 24.97/25.36 multiply( X, T ) ) ] )
% 24.97/25.36 , 0, clause( 7037, [ ~( sum( X, X, Y ) ), product( Y, X, Y ) ] )
% 24.97/25.36 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 24.97/25.36 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 8890, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), sum( Y, Y,
% 24.97/25.36 multiply( Y, Z ) ) ] )
% 24.97/25.36 , clause( 21885, [ ~( sum( Y, Y, Z ) ), sum( X, X, multiply( X, Z ) ), ~(
% 24.97/25.36 sum( Y, Y, X ) ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 24.97/25.36 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 factor(
% 24.97/25.36 clause( 21888, [ ~( sum( X, X, Y ) ), sum( Y, Y, multiply( Y, Y ) ) ] )
% 24.97/25.36 , clause( 8890, [ ~( sum( X, X, Y ) ), ~( sum( X, X, Z ) ), sum( Y, Y,
% 24.97/25.36 multiply( Y, Z ) ) ] )
% 24.97/25.36 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 paramod(
% 24.97/25.36 clause( 21889, [ sum( X, X, X ), ~( sum( Y, Y, X ) ) ] )
% 24.97/25.36 , clause( 7131, [ =( multiply( X, X ), X ) ] )
% 24.97/25.36 , 0, clause( 21888, [ ~( sum( X, X, Y ) ), sum( Y, Y, multiply( Y, Y ) ) ]
% 24.97/25.36 )
% 24.97/25.36 , 1, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 24.97/25.36 :=( Y, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 8903, [ ~( sum( X, X, Y ) ), sum( Y, Y, Y ) ] )
% 24.97/25.36 , clause( 21889, [ sum( X, X, X ), ~( sum( Y, Y, X ) ) ] )
% 24.97/25.36 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 24.97/25.36 ), ==>( 1, 0 )] ) ).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 resolution(
% 24.97/25.36 clause( 21890, [ ~( product( X, Y, x ) ), ~( sum( Z, Z, X ) ) ] )
% 24.97/25.36 , clause( 102, [ ~( sum( X, X, X ) ), ~( product( X, Y, x ) ) ] )
% 24.97/25.36 , 0, clause( 8903, [ ~( sum( X, X, Y ) ), sum( Y, Y, Y ) ] )
% 24.97/25.36 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 24.97/25.36 , Z ), :=( Y, X )] )).
% 24.97/25.36
% 24.97/25.36
% 24.97/25.36 subsumption(
% 24.97/25.36 clause( 8921, [ ~( sum( X, X, Y ) ), ~( product( Y, Z, x ) ) ] )
% 24.97/25.36 , clause( 21890, [ ~( product( X, Y, x ) ), ~( sum( Z, Z, X ) ) ] )
% 24.97/25.37 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 24.97/25.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 resolution(
% 24.97/25.37 clause( 21891, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 24.97/25.37 , clause( 3043, [ ~( sum( X, Y, Z ) ), ~( product( X, 'additive_identity',
% 24.97/25.37 'additive_identity' ) ), product( Z, Y, Y ) ] )
% 24.97/25.37 , 1, clause( 6318, [ product( X, 'additive_identity', 'additive_identity' )
% 24.97/25.37 ] )
% 24.97/25.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 24.97/25.37 substitution( 1, [ :=( X, X )] )).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 subsumption(
% 24.97/25.37 clause( 20001, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 24.97/25.37 , clause( 21891, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 24.97/25.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 24.97/25.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 resolution(
% 24.97/25.37 clause( 21892, [ ~( sum( X, X, Y ) ), ~( sum( Z, x, Y ) ) ] )
% 24.97/25.37 , clause( 8921, [ ~( sum( X, X, Y ) ), ~( product( Y, Z, x ) ) ] )
% 24.97/25.37 , 1, clause( 20001, [ ~( sum( X, Y, Z ) ), product( Z, Y, Y ) ] )
% 24.97/25.37 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, x )] ),
% 24.97/25.37 substitution( 1, [ :=( X, Z ), :=( Y, x ), :=( Z, Y )] )).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 subsumption(
% 24.97/25.37 clause( 20800, [ ~( sum( X, x, Y ) ), ~( sum( Z, Z, Y ) ) ] )
% 24.97/25.37 , clause( 21892, [ ~( sum( X, X, Y ) ), ~( sum( Z, x, Y ) ) ] )
% 24.97/25.37 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 24.97/25.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 factor(
% 24.97/25.37 clause( 21894, [ ~( sum( x, x, X ) ) ] )
% 24.97/25.37 , clause( 20800, [ ~( sum( X, x, Y ) ), ~( sum( Z, Z, Y ) ) ] )
% 24.97/25.37 , 0, 1, substitution( 0, [ :=( X, x ), :=( Y, X ), :=( Z, x )] )).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 subsumption(
% 24.97/25.37 clause( 20874, [ ~( sum( x, x, X ) ) ] )
% 24.97/25.37 , clause( 21894, [ ~( sum( x, x, X ) ) ] )
% 24.97/25.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 resolution(
% 24.97/25.37 clause( 21895, [] )
% 24.97/25.37 , clause( 20874, [ ~( sum( x, x, X ) ) ] )
% 24.97/25.37 , 0, clause( 52, [ sum( X, Y, add( Y, X ) ) ] )
% 24.97/25.37 , 0, substitution( 0, [ :=( X, add( x, x ) )] ), substitution( 1, [ :=( X,
% 24.97/25.37 x ), :=( Y, x )] )).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 subsumption(
% 24.97/25.37 clause( 21169, [] )
% 24.97/25.37 , clause( 21895, [] )
% 24.97/25.37 , substitution( 0, [] ), permutation( 0, [] ) ).
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 end.
% 24.97/25.37
% 24.97/25.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 24.97/25.37
% 24.97/25.37 Memory use:
% 24.97/25.37
% 24.97/25.37 space for terms: 311580
% 24.97/25.37 space for clauses: 800390
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 clauses generated: 292260
% 24.97/25.37 clauses kept: 21170
% 24.97/25.37 clauses selected: 918
% 24.97/25.37 clauses deleted: 4469
% 24.97/25.37 clauses inuse deleted: 357
% 24.97/25.37
% 24.97/25.37 subsentry: 3768653
% 24.97/25.37 literals s-matched: 1870037
% 24.97/25.37 literals matched: 1042189
% 24.97/25.37 full subsumption: 562123
% 24.97/25.37
% 24.97/25.37 checksum: 349294342
% 24.97/25.37
% 24.97/25.37
% 24.97/25.37 Bliksem ended
%------------------------------------------------------------------------------