TSTP Solution File: RNG037-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 20:16:10 EDT 2022
% Result : Unsatisfiable 6.43s 6.84s
% Output : Refutation 6.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon May 30 20:42:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.43/6.83 *** allocated 10000 integers for termspace/termends
% 6.43/6.83 *** allocated 10000 integers for clauses
% 6.43/6.83 *** allocated 10000 integers for justifications
% 6.43/6.83 Bliksem 1.12
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Automatic Strategy Selection
% 6.43/6.83
% 6.43/6.83 Clauses:
% 6.43/6.83 [
% 6.43/6.83 [ sum( 'additive_identity', X, X ) ],
% 6.43/6.83 [ sum( X, 'additive_identity', X ) ],
% 6.43/6.83 [ product( X, Y, multiply( X, Y ) ) ],
% 6.43/6.83 [ sum( X, Y, add( X, Y ) ) ],
% 6.43/6.83 [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ],
% 6.43/6.83 [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ],
% 6.43/6.83 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 6.43/6.83 , U, W ) ],
% 6.43/6.83 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 6.43/6.83 , T, W ) ],
% 6.43/6.83 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 6.43/6.83 ) ), product( X, U, W ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 6.43/6.83 ) ), product( Z, T, W ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 6.43/6.83 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 6.43/6.83 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 6.43/6.83 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 6.43/6.83 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 6.43/6.83 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ],
% 6.43/6.83 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 6.43/6.83 [ product( a, b, d ) ],
% 6.43/6.83 [ product( a, 'additive_inverse'( b ), c ) ],
% 6.43/6.83 [ ~( sum( c, d, 'additive_identity' ) ) ]
% 6.43/6.83 ] .
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 percentage equality = 0.037736, percentage horn = 1.000000
% 6.43/6.83 This is a problem with some equality
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Options Used:
% 6.43/6.83
% 6.43/6.83 useres = 1
% 6.43/6.83 useparamod = 1
% 6.43/6.83 useeqrefl = 1
% 6.43/6.83 useeqfact = 1
% 6.43/6.83 usefactor = 1
% 6.43/6.83 usesimpsplitting = 0
% 6.43/6.83 usesimpdemod = 5
% 6.43/6.83 usesimpres = 3
% 6.43/6.83
% 6.43/6.83 resimpinuse = 1000
% 6.43/6.83 resimpclauses = 20000
% 6.43/6.83 substype = eqrewr
% 6.43/6.83 backwardsubs = 1
% 6.43/6.83 selectoldest = 5
% 6.43/6.83
% 6.43/6.83 litorderings [0] = split
% 6.43/6.83 litorderings [1] = extend the termordering, first sorting on arguments
% 6.43/6.83
% 6.43/6.83 termordering = kbo
% 6.43/6.83
% 6.43/6.83 litapriori = 0
% 6.43/6.83 termapriori = 1
% 6.43/6.83 litaposteriori = 0
% 6.43/6.83 termaposteriori = 0
% 6.43/6.83 demodaposteriori = 0
% 6.43/6.83 ordereqreflfact = 0
% 6.43/6.83
% 6.43/6.83 litselect = negord
% 6.43/6.83
% 6.43/6.83 maxweight = 15
% 6.43/6.83 maxdepth = 30000
% 6.43/6.83 maxlength = 115
% 6.43/6.83 maxnrvars = 195
% 6.43/6.83 excuselevel = 1
% 6.43/6.83 increasemaxweight = 1
% 6.43/6.83
% 6.43/6.83 maxselected = 10000000
% 6.43/6.83 maxnrclauses = 10000000
% 6.43/6.83
% 6.43/6.83 showgenerated = 0
% 6.43/6.83 showkept = 0
% 6.43/6.83 showselected = 0
% 6.43/6.83 showdeleted = 0
% 6.43/6.83 showresimp = 1
% 6.43/6.83 showstatus = 2000
% 6.43/6.83
% 6.43/6.83 prologoutput = 1
% 6.43/6.83 nrgoals = 5000000
% 6.43/6.83 totalproof = 1
% 6.43/6.83
% 6.43/6.83 Symbols occurring in the translation:
% 6.43/6.83
% 6.43/6.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.43/6.83 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 6.43/6.83 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 6.43/6.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.43/6.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.43/6.83 'additive_identity' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.43/6.83 sum [41, 3] (w:1, o:57, a:1, s:1, b:0),
% 6.43/6.83 multiply [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 6.43/6.83 product [44, 3] (w:1, o:58, a:1, s:1, b:0),
% 6.43/6.83 add [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 6.43/6.83 'additive_inverse' [46, 1] (w:1, o:29, a:1, s:1, b:0),
% 6.43/6.83 a [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 6.43/6.83 b [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 6.43/6.83 d [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 6.43/6.83 c [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Starting Search:
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Intermediate Status:
% 6.43/6.83 Generated: 8939
% 6.43/6.83 Kept: 2005
% 6.43/6.83 Inuse: 115
% 6.43/6.83 Deleted: 28
% 6.43/6.83 Deletedinuse: 15
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Intermediate Status:
% 6.43/6.83 Generated: 18628
% 6.43/6.83 Kept: 4015
% 6.43/6.83 Inuse: 205
% 6.43/6.83 Deleted: 71
% 6.43/6.83 Deletedinuse: 49
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Intermediate Status:
% 6.43/6.83 Generated: 26437
% 6.43/6.83 Kept: 6048
% 6.43/6.83 Inuse: 259
% 6.43/6.83 Deleted: 71
% 6.43/6.83 Deletedinuse: 49
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83 Resimplifying inuse:
% 6.43/6.83 Done
% 6.43/6.83
% 6.43/6.83
% 6.43/6.83 Intermediate Status:
% 6.43/6.84 Generated: 35942
% 6.43/6.84 Kept: 8067
% 6.43/6.84 Inuse: 319
% 6.43/6.84 Deleted: 89
% 6.43/6.84 Deletedinuse: 49
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 50134
% 6.43/6.84 Kept: 10074
% 6.43/6.84 Inuse: 376
% 6.43/6.84 Deleted: 111
% 6.43/6.84 Deletedinuse: 49
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 60020
% 6.43/6.84 Kept: 12194
% 6.43/6.84 Inuse: 413
% 6.43/6.84 Deleted: 117
% 6.43/6.84 Deletedinuse: 49
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 70476
% 6.43/6.84 Kept: 14200
% 6.43/6.84 Inuse: 454
% 6.43/6.84 Deleted: 124
% 6.43/6.84 Deletedinuse: 49
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 82247
% 6.43/6.84 Kept: 16220
% 6.43/6.84 Inuse: 508
% 6.43/6.84 Deleted: 149
% 6.43/6.84 Deletedinuse: 50
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 96829
% 6.43/6.84 Kept: 18233
% 6.43/6.84 Inuse: 565
% 6.43/6.84 Deleted: 181
% 6.43/6.84 Deletedinuse: 58
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying clauses:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 109966
% 6.43/6.84 Kept: 20246
% 6.43/6.84 Inuse: 611
% 6.43/6.84 Deleted: 5867
% 6.43/6.84 Deletedinuse: 162
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 125193
% 6.43/6.84 Kept: 22269
% 6.43/6.84 Inuse: 661
% 6.43/6.84 Deleted: 5887
% 6.43/6.84 Deletedinuse: 182
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Intermediate Status:
% 6.43/6.84 Generated: 153126
% 6.43/6.84 Kept: 24300
% 6.43/6.84 Inuse: 732
% 6.43/6.84 Deleted: 5891
% 6.43/6.84 Deletedinuse: 185
% 6.43/6.84
% 6.43/6.84 Resimplifying inuse:
% 6.43/6.84 Done
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Bliksems!, er is een bewijs:
% 6.43/6.84 % SZS status Unsatisfiable
% 6.43/6.84 % SZS output start Refutation
% 6.43/6.84
% 6.43/6.84 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 6.43/6.84 , sum( X, U, W ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 6.43/6.84 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 6.43/6.84 )
% 6.43/6.84 .
% 6.43/6.84 clause( 17, [ product( a, b, d ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 18, [ product( a, 'additive_inverse'( b ), c ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 19, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 21, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 45, [ ~( sum( d, c, 'additive_identity' ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 211, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_inverse'(
% 6.43/6.84 Y ), T ) ), ~( product( X, 'additive_identity', U ) ), sum( Z, T, U ) ]
% 6.43/6.84 )
% 6.43/6.84 .
% 6.43/6.84 clause( 217, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 6.43/6.84 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 220, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 6.43/6.84 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 221, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 6.43/6.84 )
% 6.43/6.84 .
% 6.43/6.84 clause( 252, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 6.43/6.84 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 448, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 646, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 856, [ ~( sum( X, c, 'additive_identity' ) ), ~( product( a, b, X )
% 6.43/6.84 ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 928, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 943, [ sum( multiply( X, 'additive_identity' ), 'additive_identity'
% 6.43/6.84 , 'additive_identity' ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 998, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 6.43/6.84 ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 1011, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 25563, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_inverse'(
% 6.43/6.84 Y ), c ) ), ~( product( a, b, Z ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 25566, [ ~( product( a, b, X ) ) ] )
% 6.43/6.84 .
% 6.43/6.84 clause( 25587, [] )
% 6.43/6.84 .
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 % SZS output end Refutation
% 6.43/6.84 found a proof!
% 6.43/6.84
% 6.43/6.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.43/6.84
% 6.43/6.84 initialclauses(
% 6.43/6.84 [ clause( 25589, [ sum( 'additive_identity', X, X ) ] )
% 6.43/6.84 , clause( 25590, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 , clause( 25591, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , clause( 25592, [ sum( X, Y, add( X, Y ) ) ] )
% 6.43/6.84 , clause( 25593, [ sum( 'additive_inverse'( X ), X, 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 25594, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 25595, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 6.43/6.84 W ) ), sum( X, U, W ) ] )
% 6.43/6.84 , clause( 25596, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 6.43/6.84 W ) ), sum( Z, T, W ) ] )
% 6.43/6.84 , clause( 25597, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.43/6.84 , clause( 25598, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.43/6.84 product( Z, T, W ) ), product( X, U, W ) ] )
% 6.43/6.84 , clause( 25599, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 6.43/6.84 product( X, U, W ) ), product( Z, T, W ) ] )
% 6.43/6.84 , clause( 25600, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.43/6.84 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , clause( 25601, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.43/6.84 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 6.43/6.84 , clause( 25602, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 6.43/6.84 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , clause( 25603, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 6.43/6.84 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 6.43/6.84 , clause( 25604, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.43/6.84 , clause( 25605, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 6.43/6.84 T ) ] )
% 6.43/6.84 , clause( 25606, [ product( a, b, d ) ] )
% 6.43/6.84 , clause( 25607, [ product( a, 'additive_inverse'( b ), c ) ] )
% 6.43/6.84 , clause( 25608, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 6.43/6.84 ] ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 , clause( 25590, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , clause( 25591, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.43/6.84 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ] )
% 6.43/6.84 , clause( 25594, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) )
% 6.43/6.84 , sum( X, U, W ) ] )
% 6.43/6.84 , clause( 25595, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 6.43/6.84 W ) ), sum( X, U, W ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.43/6.84 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 6.43/6.84 , 2 ), ==>( 3, 3 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.43/6.84 , clause( 25597, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y,
% 6.43/6.84 T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , clause( 25600, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 6.43/6.84 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.43/6.84 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 6.43/6.84 , 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.43/6.84 , clause( 25604, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 25605, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 6.43/6.84 T ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 17, [ product( a, b, d ) ] )
% 6.43/6.84 , clause( 25606, [ product( a, b, d ) ] )
% 6.43/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 18, [ product( a, 'additive_inverse'( b ), c ) ] )
% 6.43/6.84 , clause( 25607, [ product( a, 'additive_inverse'( b ), c ) ] )
% 6.43/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 19, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 25608, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 6.43/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 factor(
% 6.43/6.84 clause( 25802, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 6, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W )
% 6.43/6.84 ), sum( X, U, W ) ] )
% 6.43/6.84 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 6.43/6.84 :=( U, T ), :=( W, T )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 21, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ] )
% 6.43/6.84 , clause( 25802, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T )
% 6.43/6.84 ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25804, [ ~( sum( d, c, 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 19, [ ~( sum( c, d, 'additive_identity' ) ) ] )
% 6.43/6.84 , 0, clause( 8, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 6.43/6.84 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c ), :=(
% 6.43/6.84 Z, 'additive_identity' )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 45, [ ~( sum( d, c, 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 25804, [ ~( sum( d, c, 'additive_identity' ) ) ] )
% 6.43/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25805, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_inverse'(
% 6.43/6.84 Y ), T ) ), ~( product( X, 'additive_identity', U ) ), sum( Z, T, U ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 6.43/6.84 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , 2, clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 6.43/6.84 'additive_inverse'( Y ) ), :=( U, T ), :=( W, 'additive_identity' ), :=(
% 6.43/6.84 V0, U )] ), substitution( 1, [ :=( X, Y )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 211, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_inverse'(
% 6.43/6.84 Y ), T ) ), ~( product( X, 'additive_identity', U ) ), sum( Z, T, U ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 25805, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_inverse'( Y ), T ) ), ~( product( X, 'additive_identity', U ) )
% 6.43/6.84 , sum( Z, T, U ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.43/6.84 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 6.43/6.84 , 3 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25807, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.43/6.84 , clause( 11, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y
% 6.43/6.84 , T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 6.43/6.84 , 2, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 6.43/6.84 'additive_identity' ), :=( U, T ), :=( W, Y ), :=( V0, U )] ),
% 6.43/6.84 substitution( 1, [ :=( X, Y )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 217, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_identity'
% 6.43/6.84 , T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.43/6.84 , clause( 25807, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.43/6.84 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 6.43/6.84 , 3 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 factor(
% 6.43/6.84 clause( 25814, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 6.43/6.84 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 6.43/6.84 , clause( 217, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_identity', T ) ), ~( product( X, Y, U ) ), sum( Z, T, U ) ] )
% 6.43/6.84 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z
% 6.43/6.84 , Y ), :=( T, Z ), :=( U, Z )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 220, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 6.43/6.84 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 6.43/6.84 , clause( 25814, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X
% 6.43/6.84 , 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 factor(
% 6.43/6.84 clause( 25816, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y )
% 6.43/6.84 ] )
% 6.43/6.84 , clause( 220, [ ~( product( X, 'additive_identity', Y ) ), ~( product( X,
% 6.43/6.84 'additive_identity', Z ) ), sum( Y, Z, Z ) ] )
% 6.43/6.84 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 221, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 25816, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y
% 6.43/6.84 ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.43/6.84 ), ==>( 1, 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25817, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 6.43/6.84 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 221, [ ~( product( X, 'additive_identity', Y ) ), sum( Y, Y, Y )
% 6.43/6.84 ] )
% 6.43/6.84 , 0, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, 'additive_identity'
% 6.43/6.84 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'additive_identity' )] )
% 6.43/6.84 ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 252, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 6.43/6.84 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 25817, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 6.43/6.84 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25818, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 6.43/6.84 , clause( 15, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), =( Z, T ) ] )
% 6.43/6.84 , 0, clause( 1, [ sum( X, 'additive_identity', X ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, X
% 6.43/6.84 ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 448, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 6.43/6.84 , clause( 25818, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.43/6.84 ), ==>( 1, 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25820, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 6.43/6.84 , clause( 16, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 6.43/6.84 ] )
% 6.43/6.84 , 0, clause( 17, [ product( a, b, d ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, d ), :=( T, X )] ),
% 6.43/6.84 substitution( 1, [] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 646, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 6.43/6.84 , clause( 25820, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.43/6.84 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 paramod(
% 6.43/6.84 clause( 25945, [ ~( sum( X, c, 'additive_identity' ) ), ~( product( a, b, X
% 6.43/6.84 ) ) ] )
% 6.43/6.84 , clause( 646, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 6.43/6.84 , 1, clause( 45, [ ~( sum( d, c, 'additive_identity' ) ) ] )
% 6.43/6.84 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 856, [ ~( sum( X, c, 'additive_identity' ) ), ~( product( a, b, X )
% 6.43/6.84 ) ] )
% 6.43/6.84 , clause( 25945, [ ~( sum( X, c, 'additive_identity' ) ), ~( product( a, b
% 6.43/6.84 , X ) ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.43/6.84 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25946, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 , clause( 21, [ ~( sum( X, Y, Y ) ), ~( sum( Y, Z, T ) ), sum( X, T, T ) ]
% 6.43/6.84 )
% 6.43/6.84 , 1, clause( 5, [ sum( X, 'additive_inverse'( X ), 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'additive_inverse'(
% 6.43/6.84 Y ) ), :=( T, 'additive_identity' )] ), substitution( 1, [ :=( X, Y )] )
% 6.43/6.84 ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 928, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 , clause( 25946, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.43/6.84 ), ==>( 1, 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25947, [ sum( multiply( X, 'additive_identity' ),
% 6.43/6.84 'additive_identity', 'additive_identity' ) ] )
% 6.43/6.84 , clause( 928, [ ~( sum( X, Y, Y ) ), sum( X, 'additive_identity',
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 , 0, clause( 252, [ sum( multiply( X, 'additive_identity' ), multiply( X,
% 6.43/6.84 'additive_identity' ), multiply( X, 'additive_identity' ) ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, multiply( X, 'additive_identity' ) ), :=( Y
% 6.43/6.84 , multiply( X, 'additive_identity' ) )] ), substitution( 1, [ :=( X, X )] )
% 6.43/6.84 ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 943, [ sum( multiply( X, 'additive_identity' ), 'additive_identity'
% 6.43/6.84 , 'additive_identity' ) ] )
% 6.43/6.84 , clause( 25947, [ sum( multiply( X, 'additive_identity' ),
% 6.43/6.84 'additive_identity', 'additive_identity' ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 eqswap(
% 6.43/6.84 clause( 25948, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 6.43/6.84 , clause( 448, [ ~( sum( X, 'additive_identity', Y ) ), =( X, Y ) ] )
% 6.43/6.84 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25949, [ =( 'additive_identity', multiply( X, 'additive_identity' )
% 6.43/6.84 ) ] )
% 6.43/6.84 , clause( 25948, [ =( Y, X ), ~( sum( X, 'additive_identity', Y ) ) ] )
% 6.43/6.84 , 1, clause( 943, [ sum( multiply( X, 'additive_identity' ),
% 6.43/6.84 'additive_identity', 'additive_identity' ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, multiply( X, 'additive_identity' ) ), :=( Y
% 6.43/6.84 , 'additive_identity' )] ), substitution( 1, [ :=( X, X )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 eqswap(
% 6.43/6.84 clause( 25950, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 6.43/6.84 ) ] )
% 6.43/6.84 , clause( 25949, [ =( 'additive_identity', multiply( X, 'additive_identity'
% 6.43/6.84 ) ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 998, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 6.43/6.84 ] )
% 6.43/6.84 , clause( 25950, [ =( multiply( X, 'additive_identity' ),
% 6.43/6.84 'additive_identity' ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 paramod(
% 6.43/6.84 clause( 25952, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , clause( 998, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 6.43/6.84 ) ] )
% 6.43/6.84 , 0, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.43/6.84 :=( Y, 'additive_identity' )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 1011, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 6.43/6.84 , clause( 25952, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 6.43/6.84 )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25953, [ ~( product( a, b, X ) ), ~( product( Y, Z, X ) ), ~(
% 6.43/6.84 product( Y, 'additive_inverse'( Z ), c ) ), ~( product( Y,
% 6.43/6.84 'additive_identity', 'additive_identity' ) ) ] )
% 6.43/6.84 , clause( 856, [ ~( sum( X, c, 'additive_identity' ) ), ~( product( a, b, X
% 6.43/6.84 ) ) ] )
% 6.43/6.84 , 0, clause( 211, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_inverse'( Y ), T ) ), ~( product( X, 'additive_identity', U ) )
% 6.43/6.84 , sum( Z, T, U ) ] )
% 6.43/6.84 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 6.43/6.84 , Z ), :=( Z, X ), :=( T, c ), :=( U, 'additive_identity' )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25958, [ ~( product( a, b, X ) ), ~( product( Y, Z, X ) ), ~(
% 6.43/6.84 product( Y, 'additive_inverse'( Z ), c ) ) ] )
% 6.43/6.84 , clause( 25953, [ ~( product( a, b, X ) ), ~( product( Y, Z, X ) ), ~(
% 6.43/6.84 product( Y, 'additive_inverse'( Z ), c ) ), ~( product( Y,
% 6.43/6.84 'additive_identity', 'additive_identity' ) ) ] )
% 6.43/6.84 , 3, clause( 1011, [ product( X, 'additive_identity', 'additive_identity' )
% 6.43/6.84 ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.43/6.84 substitution( 1, [ :=( X, Y )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 25563, [ ~( product( X, Y, Z ) ), ~( product( X, 'additive_inverse'(
% 6.43/6.84 Y ), c ) ), ~( product( a, b, Z ) ) ] )
% 6.43/6.84 , clause( 25958, [ ~( product( a, b, X ) ), ~( product( Y, Z, X ) ), ~(
% 6.43/6.84 product( Y, 'additive_inverse'( Z ), c ) ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 6.43/6.84 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 factor(
% 6.43/6.84 clause( 25960, [ ~( product( a, b, X ) ), ~( product( a, 'additive_inverse'(
% 6.43/6.84 b ), c ) ) ] )
% 6.43/6.84 , clause( 25563, [ ~( product( X, Y, Z ) ), ~( product( X,
% 6.43/6.84 'additive_inverse'( Y ), c ) ), ~( product( a, b, Z ) ) ] )
% 6.43/6.84 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, X )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25961, [ ~( product( a, b, X ) ) ] )
% 6.43/6.84 , clause( 25960, [ ~( product( a, b, X ) ), ~( product( a,
% 6.43/6.84 'additive_inverse'( b ), c ) ) ] )
% 6.43/6.84 , 1, clause( 18, [ product( a, 'additive_inverse'( b ), c ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 25566, [ ~( product( a, b, X ) ) ] )
% 6.43/6.84 , clause( 25961, [ ~( product( a, b, X ) ) ] )
% 6.43/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 resolution(
% 6.43/6.84 clause( 25962, [] )
% 6.43/6.84 , clause( 25566, [ ~( product( a, b, X ) ) ] )
% 6.43/6.84 , 0, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 6.43/6.84 , 0, substitution( 0, [ :=( X, multiply( a, b ) )] ), substitution( 1, [
% 6.43/6.84 :=( X, a ), :=( Y, b )] )).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 subsumption(
% 6.43/6.84 clause( 25587, [] )
% 6.43/6.84 , clause( 25962, [] )
% 6.43/6.84 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 end.
% 6.43/6.84
% 6.43/6.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.43/6.84
% 6.43/6.84 Memory use:
% 6.43/6.84
% 6.43/6.84 space for terms: 381924
% 6.43/6.84 space for clauses: 950824
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 clauses generated: 165716
% 6.43/6.84 clauses kept: 25588
% 6.43/6.84 clauses selected: 764
% 6.43/6.84 clauses deleted: 5891
% 6.43/6.84 clauses inuse deleted: 185
% 6.43/6.84
% 6.43/6.84 subsentry: 2368335
% 6.43/6.84 literals s-matched: 1026927
% 6.43/6.84 literals matched: 570278
% 6.43/6.84 full subsumption: 299678
% 6.43/6.84
% 6.43/6.84 checksum: 974965939
% 6.43/6.84
% 6.43/6.84
% 6.43/6.84 Bliksem ended
%------------------------------------------------------------------------------