TSTP Solution File: RNG039-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 20:16:11 EDT 2022
% Result : Unsatisfiable 5.28s 5.63s
% Output : Refutation 5.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Mon May 30 16:59:21 EDT 2022
% 0.15/0.35 % CPUTime :
% 1.87/2.29 *** allocated 10000 integers for termspace/termends
% 1.87/2.29 *** allocated 10000 integers for clauses
% 1.87/2.29 *** allocated 10000 integers for justifications
% 1.87/2.29 Bliksem 1.12
% 1.87/2.29
% 1.87/2.29
% 1.87/2.29 Automatic Strategy Selection
% 1.87/2.29
% 1.87/2.29 Clauses:
% 1.87/2.29 [
% 1.87/2.29 [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z ) ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), equalish( add( Z, X ), add( Z, Y ) ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( sum( X, Z, T ) ), sum( Y, Z, T ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( sum( Z, X, T ) ), sum( Z, Y, T ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( sum( Z, T, X ) ), sum( Z, T, Y ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply( Y, Z ) )
% 1.87/2.29 ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ), multiply( Z, Y ) )
% 1.87/2.29 ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y, Z, T ) ]
% 1.87/2.29 ,
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z, Y, T ) ]
% 1.87/2.29 ,
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 1.87/2.29 ,
% 1.87/2.29 [ equalish( X, X ) ],
% 1.87/2.29 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 1.87/2.29 [ sum( 'additive_identity', X, X ) ],
% 1.87/2.29 [ sum( X, 'additive_identity', X ) ],
% 1.87/2.29 [ product( X, Y, multiply( X, Y ) ) ],
% 1.87/2.29 [ sum( X, Y, add( X, Y ) ) ],
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T, W ) ), sum( X
% 1.87/2.29 , U, W ) ],
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U, W ) ), sum( Z
% 1.87/2.29 , T, W ) ],
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.87/2.29 ) ), product( X, U, W ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.87/2.29 ) ), product( Z, T, W ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.87/2.29 , ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum( Y, T, W ) )
% 1.87/2.29 , ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.87/2.29 , ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum( X, T, W ) )
% 1.87/2.29 , ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ],
% 1.87/2.29 [ product( 'additive_identity', X, 'additive_identity' ) ],
% 1.87/2.29 [ product( X, 'additive_identity', 'additive_identity' ) ],
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T ) ],
% 1.87/2.29 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 1.87/2.29 ,
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), equalish( T, X ) ],
% 1.87/2.29 [ ~( sum( X, Y, Z ) ), ~( sum( X, T, Z ) ), equalish( T, Y ) ],
% 1.87/2.29 [ sum( X, add( X, Y ), Y ) ],
% 1.87/2.29 [ sum( add( X, Y ), Y, X ) ],
% 1.87/2.29 [ sum( X, X, 'additive_identity' ) ],
% 1.87/2.29 [ equalish( add( X, 'additive_identity' ), X ) ],
% 1.87/2.29 [ equalish( add( X, X ), 'additive_identity' ) ],
% 1.87/2.29 [ equalish( multiply( X, X ), X ) ],
% 1.87/2.29 [ equalish( multiply( a, b ), c ) ],
% 1.87/2.29 [ equalish( multiply( b, a ), d ) ],
% 1.87/2.29 [ sum( X, Y, add( Y, X ) ) ],
% 1.87/2.29 [ product( a, c, c ) ],
% 1.87/2.29 [ product( b, d, d ) ],
% 1.87/2.29 [ product( c, b, c ) ],
% 1.87/2.29 [ product( d, a, d ) ],
% 1.87/2.29 [ product( X, multiply( X, Y ), multiply( X, Y ) ) ],
% 1.87/2.29 [ product( a, multiply( b, X ), multiply( Y, X ) ) ],
% 1.87/2.29 [ product( a, b, multiply( c, b ) ) ],
% 1.87/2.29 [ product( a, multiply( b, c ), c ) ],
% 1.87/2.29 [ product( b, multiply( a, X ), multiply( d, X ) ) ],
% 1.87/2.29 [ product( b, a, multiply( d, a ) ) ],
% 1.87/2.29 [ product( b, multiply( a, d ), d ) ],
% 1.87/2.29 [ product( b, c, multiply( d, b ) ) ],
% 1.87/2.29 [ product( a, d, multiply( c, a ) ) ],
% 1.87/2.29 [ product( multiply( X, Y ), Y, multiply( X, Y ) ) ],
% 1.87/2.29 [ product( multiply( X, a ), b, multiply( X, c ) ) ],
% 1.87/2.29 [ product( a, b, multiply( a, c ) ) ],
% 1.87/2.29 [ product( multiply( c, a ), b, c ) ],
% 1.87/2.29 [ product( d, b, multiply( b, c ) ) ],
% 1.87/2.29 [ product( multiply( X, b ), a, multiply( X, d ) ) ],
% 1.87/2.29 [ product( b, a, multiply( b, d ) ) ],
% 1.87/2.29 [ product( multiply( d, b ), a, d ) ],
% 1.87/2.29 [ product( c, a, multiply( a, d ) ) ],
% 1.87/2.29 [ product( a, add( b, a ), add( c, a ) ) ],
% 1.87/2.29 [ product( a, add( a, b ), add( a, c ) ) ],
% 1.87/2.29 [ product( b, add( a, b ), add( d, b ) ) ],
% 1.87/2.29 [ product( b, add( b, a ), add( b, d ) ) ],
% 1.87/2.29 [ product( add( a, b ), b, add( c, b ) ) ],
% 1.87/2.29 [ product( add( b, a ), b, add( b, c ) ) ],
% 5.28/5.63 [ product( add( b, a ), a, add( d, a ) ) ],
% 5.28/5.63 [ product( add( a, b ), a, add( a, d ) ) ],
% 5.28/5.63 [ product( X, X, X ) ],
% 5.28/5.63 [ product( a, b, c ) ],
% 5.28/5.63 [ product( b, a, d ) ],
% 5.28/5.63 [ ~( equalish( c, d ) ) ]
% 5.28/5.63 ] .
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 percentage equality = 0.000000, percentage horn = 1.000000
% 5.28/5.63 This is a near-Horn, non-equality problem
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Options Used:
% 5.28/5.63
% 5.28/5.63 useres = 1
% 5.28/5.63 useparamod = 0
% 5.28/5.63 useeqrefl = 0
% 5.28/5.63 useeqfact = 0
% 5.28/5.63 usefactor = 1
% 5.28/5.63 usesimpsplitting = 0
% 5.28/5.63 usesimpdemod = 0
% 5.28/5.63 usesimpres = 4
% 5.28/5.63
% 5.28/5.63 resimpinuse = 1000
% 5.28/5.63 resimpclauses = 20000
% 5.28/5.63 substype = standard
% 5.28/5.63 backwardsubs = 1
% 5.28/5.63 selectoldest = 5
% 5.28/5.63
% 5.28/5.63 litorderings [0] = split
% 5.28/5.63 litorderings [1] = liftord
% 5.28/5.63
% 5.28/5.63 termordering = none
% 5.28/5.63
% 5.28/5.63 litapriori = 1
% 5.28/5.63 termapriori = 0
% 5.28/5.63 litaposteriori = 0
% 5.28/5.63 termaposteriori = 0
% 5.28/5.63 demodaposteriori = 0
% 5.28/5.63 ordereqreflfact = 0
% 5.28/5.63
% 5.28/5.63 litselect = negative
% 5.28/5.63
% 5.28/5.63 maxweight = 30000
% 5.28/5.63 maxdepth = 30000
% 5.28/5.63 maxlength = 115
% 5.28/5.63 maxnrvars = 195
% 5.28/5.63 excuselevel = 0
% 5.28/5.63 increasemaxweight = 0
% 5.28/5.63
% 5.28/5.63 maxselected = 10000000
% 5.28/5.63 maxnrclauses = 10000000
% 5.28/5.63
% 5.28/5.63 showgenerated = 0
% 5.28/5.63 showkept = 0
% 5.28/5.63 showselected = 0
% 5.28/5.63 showdeleted = 0
% 5.28/5.63 showresimp = 1
% 5.28/5.63 showstatus = 2000
% 5.28/5.63
% 5.28/5.63 prologoutput = 1
% 5.28/5.63 nrgoals = 5000000
% 5.28/5.63 totalproof = 1
% 5.28/5.63
% 5.28/5.63 Symbols occurring in the translation:
% 5.28/5.63
% 5.28/5.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.28/5.63 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 5.28/5.63 ! [4, 1] (w:1, o:28, a:1, s:1, b:0),
% 5.28/5.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.28/5.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.28/5.63 equalish [41, 2] (w:1, o:58, a:1, s:1, b:0),
% 5.28/5.63 add [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 5.28/5.63 sum [45, 3] (w:1, o:61, a:1, s:1, b:0),
% 5.28/5.63 multiply [46, 2] (w:1, o:60, a:1, s:1, b:0),
% 5.28/5.63 product [47, 3] (w:1, o:62, a:1, s:1, b:0),
% 5.28/5.63 'additive_identity' [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.28/5.63 a [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.28/5.63 b [60, 0] (w:1, o:25, a:1, s:1, b:0),
% 5.28/5.63 c [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 5.28/5.63 d [62, 0] (w:1, o:27, a:1, s:1, b:0).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Starting Search:
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 3101
% 5.28/5.63 Kept: 2001
% 5.28/5.63 Inuse: 276
% 5.28/5.63 Deleted: 12
% 5.28/5.63 Deletedinuse: 4
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 6039
% 5.28/5.63 Kept: 4017
% 5.28/5.63 Inuse: 442
% 5.28/5.63 Deleted: 22
% 5.28/5.63 Deletedinuse: 12
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 8705
% 5.28/5.63 Kept: 6031
% 5.28/5.63 Inuse: 560
% 5.28/5.63 Deleted: 80
% 5.28/5.63 Deletedinuse: 59
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 11049
% 5.28/5.63 Kept: 8031
% 5.28/5.63 Inuse: 698
% 5.28/5.63 Deleted: 131
% 5.28/5.63 Deletedinuse: 93
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 13933
% 5.28/5.63 Kept: 10032
% 5.28/5.63 Inuse: 806
% 5.28/5.63 Deleted: 143
% 5.28/5.63 Deletedinuse: 95
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 16773
% 5.28/5.63 Kept: 12044
% 5.28/5.63 Inuse: 878
% 5.28/5.63 Deleted: 144
% 5.28/5.63 Deletedinuse: 95
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 20342
% 5.28/5.63 Kept: 14054
% 5.28/5.63 Inuse: 1002
% 5.28/5.63 Deleted: 173
% 5.28/5.63 Deletedinuse: 105
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 23615
% 5.28/5.63 Kept: 16069
% 5.28/5.63 Inuse: 1072
% 5.28/5.63 Deleted: 189
% 5.28/5.63 Deletedinuse: 112
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 26575
% 5.28/5.63 Kept: 18073
% 5.28/5.63 Inuse: 1163
% 5.28/5.63 Deleted: 196
% 5.28/5.63 Deletedinuse: 118
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 29737
% 5.28/5.63 Kept: 20229
% 5.28/5.63 Inuse: 1232
% 5.28/5.63 Deleted: 204
% 5.28/5.63 Deletedinuse: 120
% 5.28/5.63
% 5.28/5.63 Resimplifying clauses:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 32429
% 5.28/5.63 Kept: 22503
% 5.28/5.63 Inuse: 1257
% 5.28/5.63 Deleted: 1852
% 5.28/5.63 Deletedinuse: 125
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 35914
% 5.28/5.63 Kept: 24544
% 5.28/5.63 Inuse: 1302
% 5.28/5.63 Deleted: 1868
% 5.28/5.63 Deletedinuse: 141
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 39395
% 5.28/5.63 Kept: 26779
% 5.28/5.63 Inuse: 1352
% 5.28/5.63 Deleted: 1868
% 5.28/5.63 Deletedinuse: 141
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 44401
% 5.28/5.63 Kept: 28785
% 5.28/5.63 Inuse: 1439
% 5.28/5.63 Deleted: 1873
% 5.28/5.63 Deletedinuse: 144
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 46899
% 5.28/5.63 Kept: 30860
% 5.28/5.63 Inuse: 1466
% 5.28/5.63 Deleted: 1908
% 5.28/5.63 Deletedinuse: 179
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 49669
% 5.28/5.63 Kept: 33157
% 5.28/5.63 Inuse: 1485
% 5.28/5.63 Deleted: 1909
% 5.28/5.63 Deletedinuse: 180
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 53749
% 5.28/5.63 Kept: 35167
% 5.28/5.63 Inuse: 1524
% 5.28/5.63 Deleted: 1918
% 5.28/5.63 Deletedinuse: 185
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 58194
% 5.28/5.63 Kept: 37174
% 5.28/5.63 Inuse: 1568
% 5.28/5.63 Deleted: 1946
% 5.28/5.63 Deletedinuse: 213
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 61500
% 5.28/5.63 Kept: 39194
% 5.28/5.63 Inuse: 1645
% 5.28/5.63 Deleted: 2012
% 5.28/5.63 Deletedinuse: 277
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying clauses:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 64448
% 5.28/5.63 Kept: 41206
% 5.28/5.63 Inuse: 1677
% 5.28/5.63 Deleted: 5361
% 5.28/5.63 Deletedinuse: 279
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 67736
% 5.28/5.63 Kept: 43218
% 5.28/5.63 Inuse: 1709
% 5.28/5.63 Deleted: 5368
% 5.28/5.63 Deletedinuse: 286
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 71162
% 5.28/5.63 Kept: 45237
% 5.28/5.63 Inuse: 1754
% 5.28/5.63 Deleted: 5368
% 5.28/5.63 Deletedinuse: 286
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 74841
% 5.28/5.63 Kept: 47243
% 5.28/5.63 Inuse: 1811
% 5.28/5.63 Deleted: 5368
% 5.28/5.63 Deletedinuse: 286
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 78133
% 5.28/5.63 Kept: 49250
% 5.28/5.63 Inuse: 1889
% 5.28/5.63 Deleted: 5374
% 5.28/5.63 Deletedinuse: 290
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 81246
% 5.28/5.63 Kept: 51492
% 5.28/5.63 Inuse: 1946
% 5.28/5.63 Deleted: 5636
% 5.28/5.63 Deletedinuse: 551
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 84257
% 5.28/5.63 Kept: 53542
% 5.28/5.63 Inuse: 2019
% 5.28/5.63 Deleted: 5644
% 5.28/5.63 Deletedinuse: 552
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 88830
% 5.28/5.63 Kept: 55598
% 5.28/5.63 Inuse: 2149
% 5.28/5.63 Deleted: 5733
% 5.28/5.63 Deletedinuse: 617
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Intermediate Status:
% 5.28/5.63 Generated: 92075
% 5.28/5.63 Kept: 57633
% 5.28/5.63 Inuse: 2197
% 5.28/5.63 Deleted: 5745
% 5.28/5.63 Deletedinuse: 617
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63 Resimplifying inuse:
% 5.28/5.63 Done
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 Bliksems!, er is een bewijs:
% 5.28/5.63 % SZS status Unsatisfiable
% 5.28/5.63 % SZS output start Refutation
% 5.28/5.63
% 5.28/5.63 clause( 8, [ ~( product( Z, X, T ) ), product( Z, Y, T ), ~( equalish( X, Y
% 5.28/5.63 ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 9, [ ~( product( Z, T, X ) ), product( Z, T, Y ), ~( equalish( X, Y
% 5.28/5.63 ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 11, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 5.28/5.63 ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 12, [ sum( 'additive_identity', X, X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 18, [ sum( Y, X, Z ), ~( sum( X, Y, Z ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 19, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 5.28/5.63 , U, W ), ~( product( Z, T, W ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 20, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 5.28/5.63 , T, W ), ~( product( Y, T, U ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 25, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 26, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 27, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 5.28/5.63 T ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 32, [ sum( add( X, Y ), Y, X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 36, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 38, [ equalish( multiply( b, a ), d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 44, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 60, [ product( multiply( d, b ), a, d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 70, [ product( X, X, X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 73, [ ~( equalish( c, d ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 79, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T, X
% 5.28/5.63 , X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 139, [ product( X, d, Y ), ~( product( X, multiply( b, a ), Y ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 142, [ product( X, Y, Z ), ~( product( X, multiply( Y, Y ), Z ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 147, [ product( X, Y, Z ), ~( product( X, Y, multiply( Z, Z ) ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 163, [ sum( X, add( Y, X ), Y ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 237, [ ~( product( X, Y, Z ) ), product( T, Z, 'additive_identity'
% 5.28/5.63 ), ~( product( T, X, 'additive_identity' ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 308, [ ~( product( X, Y, Z ) ), product( Z, Y, T ), ~( product( X,
% 5.28/5.63 Y, T ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 444, [ equalish( X, Y ), ~( sum( 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 461, [ equalish( X, add( X, 'additive_identity' ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 466, [ product( X, add( Y, 'additive_identity' ), Z ), ~( product(
% 5.28/5.63 X, Y, Z ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 512, [ equalish( X, multiply( Y, Z ) ), ~( product( a, multiply( b
% 5.28/5.63 , Z ), X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 524, [ equalish( X, d ), ~( product( multiply( d, b ), a, X ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 533, [ equalish( X, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 606, [ equalish( multiply( 'additive_identity', X ),
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 615, [ equalish( X, 'additive_identity' ), ~( equalish( X, multiply(
% 5.28/5.63 'additive_identity', Y ) ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 734, [ product( X, T, T ), ~( product( multiply( X, Y ), Z, T ) ) ]
% 5.28/5.63 )
% 5.28/5.63 .
% 5.28/5.63 clause( 740, [ product( X, Z, Z ), ~( product( X, Y, Z ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 794, [ product( a, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 3963, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 4068, [ product( a, X, multiply( X, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 4213, [ product( a, X, X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 4216, [ product( a, d, a ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 4225, [ product( a, multiply( b, X ), X ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 4249, [ equalish( X, a ), ~( product( a, d, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 7777, [ equalish( d, a ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 7785, [ product( X, Y, a ), ~( product( X, Y, d ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 11300, [ product( Z, Y, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', X, Y ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 17715, [ product( Y, X, X ), ~( product( a, X, Y ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 19030, [ product( multiply( X, a ), d, d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 41347, [ product( multiply( X, a ), add( d, 'additive_identity' ),
% 5.28/5.63 d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 49112, [ equalish( X, multiply( Y, X ) ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 49123, [ equalish( X, 'additive_identity' ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58635, [ product( X, d, d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58823, [ product( X, d, a ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58873, [ product( X, a, 'additive_identity' ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58896, [ equalish( 'additive_identity', d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58934, [ equalish( X, d ) ] )
% 5.28/5.63 .
% 5.28/5.63 clause( 58955, [] )
% 5.28/5.63 .
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 % SZS output end Refutation
% 5.28/5.63 found a proof!
% 5.28/5.63
% 5.28/5.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.28/5.63
% 5.28/5.63 initialclauses(
% 5.28/5.63 [ clause( 58957, [ ~( equalish( X, Y ) ), equalish( add( X, Z ), add( Y, Z
% 5.28/5.63 ) ) ] )
% 5.28/5.63 , clause( 58958, [ ~( equalish( X, Y ) ), equalish( add( Z, X ), add( Z, Y
% 5.28/5.63 ) ) ] )
% 5.28/5.63 , clause( 58959, [ ~( equalish( X, Y ) ), ~( sum( X, Z, T ) ), sum( Y, Z, T
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58960, [ ~( equalish( X, Y ) ), ~( sum( Z, X, T ) ), sum( Z, Y, T
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58961, [ ~( equalish( X, Y ) ), ~( sum( Z, T, X ) ), sum( Z, T, Y
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58962, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ),
% 5.28/5.63 multiply( Y, Z ) ) ] )
% 5.28/5.63 , clause( 58963, [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ),
% 5.28/5.63 multiply( Z, Y ) ) ] )
% 5.28/5.63 , clause( 58964, [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product(
% 5.28/5.63 Y, Z, T ) ] )
% 5.28/5.63 , clause( 58965, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product(
% 5.28/5.63 Z, Y, T ) ] )
% 5.28/5.63 , clause( 58966, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 5.28/5.63 Z, T, Y ) ] )
% 5.28/5.63 , clause( 58967, [ equalish( X, X ) ] )
% 5.28/5.63 , clause( 58968, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 5.28/5.63 X, Z ) ] )
% 5.28/5.63 , clause( 58969, [ sum( 'additive_identity', X, X ) ] )
% 5.28/5.63 , clause( 58970, [ sum( X, 'additive_identity', X ) ] )
% 5.28/5.63 , clause( 58971, [ product( X, Y, multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 58972, [ sum( X, Y, add( X, Y ) ) ] )
% 5.28/5.63 , clause( 58973, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( Z, T,
% 5.28/5.63 W ) ), sum( X, U, W ) ] )
% 5.28/5.63 , clause( 58974, [ ~( sum( X, Y, Z ) ), ~( sum( Y, T, U ) ), ~( sum( X, U,
% 5.28/5.63 W ) ), sum( Z, T, W ) ] )
% 5.28/5.63 , clause( 58975, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 5.28/5.63 , clause( 58976, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 5.28/5.63 product( Z, T, W ) ), product( X, U, W ) ] )
% 5.28/5.63 , clause( 58977, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 5.28/5.63 product( X, U, W ) ), product( Z, T, W ) ] )
% 5.28/5.63 , clause( 58978, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 5.28/5.63 Y, T, W ) ), ~( product( X, W, V0 ) ), sum( Z, U, V0 ) ] )
% 5.28/5.63 , clause( 58979, [ ~( product( X, Y, Z ) ), ~( product( X, T, U ) ), ~( sum(
% 5.28/5.63 Y, T, W ) ), ~( sum( Z, U, V0 ) ), product( X, W, V0 ) ] )
% 5.28/5.63 , clause( 58980, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 5.28/5.63 X, T, W ) ), ~( product( W, Y, V0 ) ), sum( Z, U, V0 ) ] )
% 5.28/5.63 , clause( 58981, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( sum(
% 5.28/5.63 X, T, W ) ), ~( sum( Z, U, V0 ) ), product( W, Y, V0 ) ] )
% 5.28/5.63 , clause( 58982, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 58983, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 58984, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58985, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 5.28/5.63 equalish( Z, T ) ] )
% 5.28/5.63 , clause( 58986, [ ~( sum( X, Y, Z ) ), ~( sum( T, Y, Z ) ), equalish( T, X
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58987, [ ~( sum( X, Y, Z ) ), ~( sum( X, T, Z ) ), equalish( T, Y
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58988, [ sum( X, add( X, Y ), Y ) ] )
% 5.28/5.63 , clause( 58989, [ sum( add( X, Y ), Y, X ) ] )
% 5.28/5.63 , clause( 58990, [ sum( X, X, 'additive_identity' ) ] )
% 5.28/5.63 , clause( 58991, [ equalish( add( X, 'additive_identity' ), X ) ] )
% 5.28/5.63 , clause( 58992, [ equalish( add( X, X ), 'additive_identity' ) ] )
% 5.28/5.63 , clause( 58993, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 , clause( 58994, [ equalish( multiply( a, b ), c ) ] )
% 5.28/5.63 , clause( 58995, [ equalish( multiply( b, a ), d ) ] )
% 5.28/5.63 , clause( 58996, [ sum( X, Y, add( Y, X ) ) ] )
% 5.28/5.63 , clause( 58997, [ product( a, c, c ) ] )
% 5.28/5.63 , clause( 58998, [ product( b, d, d ) ] )
% 5.28/5.63 , clause( 58999, [ product( c, b, c ) ] )
% 5.28/5.63 , clause( 59000, [ product( d, a, d ) ] )
% 5.28/5.63 , clause( 59001, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 59002, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , clause( 59003, [ product( a, b, multiply( c, b ) ) ] )
% 5.28/5.63 , clause( 59004, [ product( a, multiply( b, c ), c ) ] )
% 5.28/5.63 , clause( 59005, [ product( b, multiply( a, X ), multiply( d, X ) ) ] )
% 5.28/5.63 , clause( 59006, [ product( b, a, multiply( d, a ) ) ] )
% 5.28/5.63 , clause( 59007, [ product( b, multiply( a, d ), d ) ] )
% 5.28/5.63 , clause( 59008, [ product( b, c, multiply( d, b ) ) ] )
% 5.28/5.63 , clause( 59009, [ product( a, d, multiply( c, a ) ) ] )
% 5.28/5.63 , clause( 59010, [ product( multiply( X, Y ), Y, multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 59011, [ product( multiply( X, a ), b, multiply( X, c ) ) ] )
% 5.28/5.63 , clause( 59012, [ product( a, b, multiply( a, c ) ) ] )
% 5.28/5.63 , clause( 59013, [ product( multiply( c, a ), b, c ) ] )
% 5.28/5.63 , clause( 59014, [ product( d, b, multiply( b, c ) ) ] )
% 5.28/5.63 , clause( 59015, [ product( multiply( X, b ), a, multiply( X, d ) ) ] )
% 5.28/5.63 , clause( 59016, [ product( b, a, multiply( b, d ) ) ] )
% 5.28/5.63 , clause( 59017, [ product( multiply( d, b ), a, d ) ] )
% 5.28/5.63 , clause( 59018, [ product( c, a, multiply( a, d ) ) ] )
% 5.28/5.63 , clause( 59019, [ product( a, add( b, a ), add( c, a ) ) ] )
% 5.28/5.63 , clause( 59020, [ product( a, add( a, b ), add( a, c ) ) ] )
% 5.28/5.63 , clause( 59021, [ product( b, add( a, b ), add( d, b ) ) ] )
% 5.28/5.63 , clause( 59022, [ product( b, add( b, a ), add( b, d ) ) ] )
% 5.28/5.63 , clause( 59023, [ product( add( a, b ), b, add( c, b ) ) ] )
% 5.28/5.63 , clause( 59024, [ product( add( b, a ), b, add( b, c ) ) ] )
% 5.28/5.63 , clause( 59025, [ product( add( b, a ), a, add( d, a ) ) ] )
% 5.28/5.63 , clause( 59026, [ product( add( a, b ), a, add( a, d ) ) ] )
% 5.28/5.63 , clause( 59027, [ product( X, X, X ) ] )
% 5.28/5.63 , clause( 59028, [ product( a, b, c ) ] )
% 5.28/5.63 , clause( 59029, [ product( b, a, d ) ] )
% 5.28/5.63 , clause( 59030, [ ~( equalish( c, d ) ) ] )
% 5.28/5.63 ] ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 8, [ ~( product( Z, X, T ) ), product( Z, Y, T ), ~( equalish( X, Y
% 5.28/5.63 ) ) ] )
% 5.28/5.63 , clause( 58965, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product(
% 5.28/5.63 Z, Y, T ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 9, [ ~( product( Z, T, X ) ), product( Z, T, Y ), ~( equalish( X, Y
% 5.28/5.63 ) ) ] )
% 5.28/5.63 , clause( 58966, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 5.28/5.63 Z, T, Y ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 11, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 5.28/5.63 ) ] )
% 5.28/5.63 , clause( 58968, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 5.28/5.63 X, Z ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 12, [ sum( 'additive_identity', X, X ) ] )
% 5.28/5.63 , clause( 58969, [ sum( 'additive_identity', X, X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 18, [ sum( Y, X, Z ), ~( sum( X, Y, Z ) ) ] )
% 5.28/5.63 , clause( 58975, [ ~( sum( X, Y, Z ) ), sum( Y, X, Z ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 19, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 5.28/5.63 , U, W ), ~( product( Z, T, W ) ) ] )
% 5.28/5.63 , clause( 58976, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 5.28/5.63 product( Z, T, W ) ), product( X, U, W ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.28/5.63 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 5.28/5.63 , 3 ), ==>( 3, 2 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 20, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 5.28/5.63 , T, W ), ~( product( Y, T, U ) ) ] )
% 5.28/5.63 , clause( 58977, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 5.28/5.63 product( X, U, W ) ), product( Z, T, W ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.28/5.63 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 5.28/5.63 , 1 ), ==>( 3, 2 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 25, [ product( 'additive_identity', X, 'additive_identity' ) ] )
% 5.28/5.63 , clause( 58982, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 26, [ product( X, 'additive_identity', 'additive_identity' ) ] )
% 5.28/5.63 , clause( 58983, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 27, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 58984, [ ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) ), equalish( Z, T
% 5.28/5.63 ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 5.28/5.63 T ) ) ] )
% 5.28/5.63 , clause( 58985, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 5.28/5.63 equalish( Z, T ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 32, [ sum( add( X, Y ), Y, X ) ] )
% 5.28/5.63 , clause( 58989, [ sum( add( X, Y ), Y, X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 36, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 , clause( 58993, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 38, [ equalish( multiply( b, a ), d ) ] )
% 5.28/5.63 , clause( 58995, [ equalish( multiply( b, a ), d ) ] )
% 5.28/5.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 44, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 59001, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , clause( 59002, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 60, [ product( multiply( d, b ), a, d ) ] )
% 5.28/5.63 , clause( 59017, [ product( multiply( d, b ), a, d ) ] )
% 5.28/5.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 70, [ product( X, X, X ) ] )
% 5.28/5.63 , clause( 59027, [ product( X, X, X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 73, [ ~( equalish( c, d ) ) ] )
% 5.28/5.63 , clause( 59030, [ ~( equalish( c, d ) ) ] )
% 5.28/5.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 factor(
% 5.28/5.63 clause( 59480, [ ~( product( X, Y, Z ) ), ~( product( T, X, X ) ), product(
% 5.28/5.63 T, Z, Z ) ] )
% 5.28/5.63 , clause( 19, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product(
% 5.28/5.63 X, U, W ), ~( product( Z, T, W ) ) ] )
% 5.28/5.63 , 0, 3, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, X ), :=( T, Y ),
% 5.28/5.63 :=( U, Z ), :=( W, Z )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 79, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T, X
% 5.28/5.63 , X ) ) ] )
% 5.28/5.63 , clause( 59480, [ ~( product( X, Y, Z ) ), ~( product( T, X, X ) ),
% 5.28/5.63 product( T, Z, Z ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59483, [ ~( product( X, multiply( b, a ), Y ) ), product( X, d, Y )
% 5.28/5.63 ] )
% 5.28/5.63 , clause( 8, [ ~( product( Z, X, T ) ), product( Z, Y, T ), ~( equalish( X
% 5.28/5.63 , Y ) ) ] )
% 5.28/5.63 , 2, clause( 38, [ equalish( multiply( b, a ), d ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( b, a ) ), :=( Y, d ), :=( Z, X ),
% 5.28/5.63 :=( T, Y )] ), substitution( 1, [] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 139, [ product( X, d, Y ), ~( product( X, multiply( b, a ), Y ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 59483, [ ~( product( X, multiply( b, a ), Y ) ), product( X, d, Y
% 5.28/5.63 ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.28/5.63 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59484, [ ~( product( X, multiply( Y, Y ), Z ) ), product( X, Y, Z )
% 5.28/5.63 ] )
% 5.28/5.63 , clause( 8, [ ~( product( Z, X, T ) ), product( Z, Y, T ), ~( equalish( X
% 5.28/5.63 , Y ) ) ] )
% 5.28/5.63 , 2, clause( 36, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( Y, Y ) ), :=( Y, Y ), :=( Z, X ),
% 5.28/5.63 :=( T, Z )] ), substitution( 1, [ :=( X, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 142, [ product( X, Y, Z ), ~( product( X, multiply( Y, Y ), Z ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 59484, [ ~( product( X, multiply( Y, Y ), Z ) ), product( X, Y, Z
% 5.28/5.63 ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59485, [ ~( product( X, Y, multiply( Z, Z ) ) ), product( X, Y, Z )
% 5.28/5.63 ] )
% 5.28/5.63 , clause( 9, [ ~( product( Z, T, X ) ), product( Z, T, Y ), ~( equalish( X
% 5.28/5.63 , Y ) ) ] )
% 5.28/5.63 , 2, clause( 36, [ equalish( multiply( X, X ), X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( Z, Z ) ), :=( Y, Z ), :=( Z, X ),
% 5.28/5.63 :=( T, Y )] ), substitution( 1, [ :=( X, Z )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 147, [ product( X, Y, Z ), ~( product( X, Y, multiply( Z, Z ) ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 59485, [ ~( product( X, Y, multiply( Z, Z ) ) ), product( X, Y, Z
% 5.28/5.63 ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59486, [ sum( X, add( Y, X ), Y ) ] )
% 5.28/5.63 , clause( 18, [ sum( Y, X, Z ), ~( sum( X, Y, Z ) ) ] )
% 5.28/5.63 , 1, clause( 32, [ sum( add( X, Y ), Y, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, add( Y, X ) ), :=( Y, X ), :=( Z, Y )] ),
% 5.28/5.63 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 163, [ sum( X, add( Y, X ), Y ) ] )
% 5.28/5.63 , clause( 59486, [ sum( X, add( Y, X ), Y ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59489, [ ~( product( X, Y, Z ) ), ~( product( T, X,
% 5.28/5.63 'additive_identity' ) ), product( T, Z, 'additive_identity' ) ] )
% 5.28/5.63 , clause( 19, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product(
% 5.28/5.63 X, U, W ), ~( product( Z, T, W ) ) ] )
% 5.28/5.63 , 3, clause( 25, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, 'additive_identity'
% 5.28/5.63 ), :=( T, Y ), :=( U, Z ), :=( W, 'additive_identity' )] ),
% 5.28/5.63 substitution( 1, [ :=( X, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 237, [ ~( product( X, Y, Z ) ), product( T, Z, 'additive_identity'
% 5.28/5.63 ), ~( product( T, X, 'additive_identity' ) ) ] )
% 5.28/5.63 , clause( 59489, [ ~( product( X, Y, Z ) ), ~( product( T, X,
% 5.28/5.63 'additive_identity' ) ), product( T, Z, 'additive_identity' ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59495, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), product(
% 5.28/5.63 Z, Y, T ) ] )
% 5.28/5.63 , clause( 20, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product(
% 5.28/5.63 Z, T, W ), ~( product( Y, T, U ) ) ] )
% 5.28/5.63 , 3, clause( 70, [ product( X, X, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ),
% 5.28/5.63 :=( U, Y ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 308, [ ~( product( X, Y, Z ) ), product( Z, Y, T ), ~( product( X,
% 5.28/5.63 Y, T ) ) ] )
% 5.28/5.63 , clause( 59495, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 5.28/5.63 product( Z, Y, T ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59499, [ equalish( X, Y ), ~( sum( 'additive_identity', Y, X ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 27, [ equalish( Z, T ), ~( sum( X, Y, Z ) ), ~( sum( X, Y, T ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 2, clause( 12, [ sum( 'additive_identity', X, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, Y ), :=( Z, X
% 5.28/5.63 ), :=( T, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 444, [ equalish( X, Y ), ~( sum( 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 , clause( 59499, [ equalish( X, Y ), ~( sum( 'additive_identity', Y, X ) )
% 5.28/5.63 ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 ), ==>( 1, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59500, [ equalish( X, add( X, 'additive_identity' ) ) ] )
% 5.28/5.63 , clause( 444, [ equalish( X, Y ), ~( sum( 'additive_identity', Y, X ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , 1, clause( 163, [ sum( X, add( Y, X ), Y ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, add( X, 'additive_identity' ) )] )
% 5.28/5.63 , substitution( 1, [ :=( X, 'additive_identity' ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 461, [ equalish( X, add( X, 'additive_identity' ) ) ] )
% 5.28/5.63 , clause( 59500, [ equalish( X, add( X, 'additive_identity' ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59501, [ ~( product( X, Y, Z ) ), product( X, add( Y,
% 5.28/5.63 'additive_identity' ), Z ) ] )
% 5.28/5.63 , clause( 8, [ ~( product( Z, X, T ) ), product( Z, Y, T ), ~( equalish( X
% 5.28/5.63 , Y ) ) ] )
% 5.28/5.63 , 2, clause( 461, [ equalish( X, add( X, 'additive_identity' ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, add( Y, 'additive_identity' ) )
% 5.28/5.63 , :=( Z, X ), :=( T, Z )] ), substitution( 1, [ :=( X, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 466, [ product( X, add( Y, 'additive_identity' ), Z ), ~( product(
% 5.28/5.63 X, Y, Z ) ) ] )
% 5.28/5.63 , clause( 59501, [ ~( product( X, Y, Z ) ), product( X, add( Y,
% 5.28/5.63 'additive_identity' ), Z ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59503, [ equalish( X, multiply( Y, Z ) ), ~( product( a, multiply(
% 5.28/5.63 b, Z ), X ) ) ] )
% 5.28/5.63 , clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 5.28/5.63 , T ) ) ] )
% 5.28/5.63 , 2, clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, Z ) ), :=( Z, X ),
% 5.28/5.63 :=( T, multiply( Y, Z ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y )] )
% 5.28/5.63 ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 512, [ equalish( X, multiply( Y, Z ) ), ~( product( a, multiply( b
% 5.28/5.63 , Z ), X ) ) ] )
% 5.28/5.63 , clause( 59503, [ equalish( X, multiply( Y, Z ) ), ~( product( a, multiply(
% 5.28/5.63 b, Z ), X ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59505, [ equalish( X, d ), ~( product( multiply( d, b ), a, X ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 5.28/5.63 , T ) ) ] )
% 5.28/5.63 , 2, clause( 60, [ product( multiply( d, b ), a, d ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( d, b ) ), :=( Y, a ), :=( Z, X ),
% 5.28/5.63 :=( T, d )] ), substitution( 1, [] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 524, [ equalish( X, d ), ~( product( multiply( d, b ), a, X ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 59505, [ equalish( X, d ), ~( product( multiply( d, b ), a, X ) )
% 5.28/5.63 ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.28/5.63 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59507, [ equalish( X, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 , clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 5.28/5.63 , T ) ) ] )
% 5.28/5.63 , 2, clause( 25, [ product( 'additive_identity', X, 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, Y ), :=( Z, X
% 5.28/5.63 ), :=( T, 'additive_identity' )] ), substitution( 1, [ :=( X, Y )] )
% 5.28/5.63 ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 533, [ equalish( X, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 , clause( 59507, [ equalish( X, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 ), ==>( 1, 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59508, [ equalish( multiply( 'additive_identity', X ),
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 , clause( 533, [ equalish( X, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', Y, X ) ) ] )
% 5.28/5.63 , 1, clause( 44, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( 'additive_identity', X ) ), :=( Y
% 5.28/5.63 , multiply( 'additive_identity', X ) )] ), substitution( 1, [ :=( X,
% 5.28/5.63 'additive_identity' ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 606, [ equalish( multiply( 'additive_identity', X ),
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 , clause( 59508, [ equalish( multiply( 'additive_identity', X ),
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59510, [ ~( equalish( X, multiply( 'additive_identity', Y ) ) ),
% 5.28/5.63 equalish( X, 'additive_identity' ) ] )
% 5.28/5.63 , clause( 11, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z
% 5.28/5.63 ) ) ] )
% 5.28/5.63 , 2, clause( 606, [ equalish( multiply( 'additive_identity', X ),
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( 'additive_identity', Y
% 5.28/5.63 ) ), :=( Z, 'additive_identity' )] ), substitution( 1, [ :=( X, Y )] )
% 5.28/5.63 ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 615, [ equalish( X, 'additive_identity' ), ~( equalish( X, multiply(
% 5.28/5.63 'additive_identity', Y ) ) ) ] )
% 5.28/5.63 , clause( 59510, [ ~( equalish( X, multiply( 'additive_identity', Y ) ) ),
% 5.28/5.63 equalish( X, 'additive_identity' ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.28/5.63 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59512, [ ~( product( multiply( X, Y ), Z, T ) ), product( X, T, T )
% 5.28/5.63 ] )
% 5.28/5.63 , clause( 79, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T
% 5.28/5.63 , X, X ) ) ] )
% 5.28/5.63 , 2, clause( 44, [ product( X, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, T ),
% 5.28/5.63 :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 734, [ product( X, T, T ), ~( product( multiply( X, Y ), Z, T ) ) ]
% 5.28/5.63 )
% 5.28/5.63 , clause( 59512, [ ~( product( multiply( X, Y ), Z, T ) ), product( X, T, T
% 5.28/5.63 ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59514, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 5.28/5.63 , clause( 79, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T
% 5.28/5.63 , X, X ) ) ] )
% 5.28/5.63 , 2, clause( 70, [ product( X, X, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 5.28/5.63 substitution( 1, [ :=( X, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 740, [ product( X, Z, Z ), ~( product( X, Y, Z ) ) ] )
% 5.28/5.63 , clause( 59514, [ ~( product( X, Y, Z ) ), product( X, Z, Z ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59515, [ product( a, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 740, [ product( X, Z, Z ), ~( product( X, Y, Z ) ) ] )
% 5.28/5.63 , 1, clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, Y ) ), :=( Z,
% 5.28/5.63 multiply( X, Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 794, [ product( a, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , clause( 59515, [ product( a, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.63 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59516, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.63 , clause( 139, [ product( X, d, Y ), ~( product( X, multiply( b, a ), Y ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 1, clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( X, a ) )] ),
% 5.28/5.63 substitution( 1, [ :=( X, a ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 3963, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.63 , clause( 59516, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59517, [ product( a, X, multiply( X, X ) ) ] )
% 5.28/5.63 , clause( 142, [ product( X, Y, Z ), ~( product( X, multiply( Y, Y ), Z ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 1, clause( 794, [ product( a, multiply( X, Y ), multiply( X, Y ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, multiply( X, X ) )] )
% 5.28/5.63 , substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 4068, [ product( a, X, multiply( X, X ) ) ] )
% 5.28/5.63 , clause( 59517, [ product( a, X, multiply( X, X ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59518, [ product( a, X, X ) ] )
% 5.28/5.63 , clause( 147, [ product( X, Y, Z ), ~( product( X, Y, multiply( Z, Z ) ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 1, clause( 4068, [ product( a, X, multiply( X, X ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, X )] ),
% 5.28/5.63 substitution( 1, [ :=( X, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 4213, [ product( a, X, X ) ] )
% 5.28/5.63 , clause( 59518, [ product( a, X, X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59519, [ product( a, d, a ) ] )
% 5.28/5.63 , clause( 147, [ product( X, Y, Z ), ~( product( X, Y, multiply( Z, Z ) ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 1, clause( 3963, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, d ), :=( Z, a )] ),
% 5.28/5.63 substitution( 1, [ :=( X, a )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 4216, [ product( a, d, a ) ] )
% 5.28/5.63 , clause( 59519, [ product( a, d, a ) ] )
% 5.28/5.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59520, [ product( a, multiply( b, X ), X ) ] )
% 5.28/5.63 , clause( 147, [ product( X, Y, Z ), ~( product( X, Y, multiply( Z, Z ) ) )
% 5.28/5.63 ] )
% 5.28/5.63 , 1, clause( 45, [ product( a, multiply( b, X ), multiply( Y, X ) ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, multiply( b, X ) ), :=( Z, X )] )
% 5.28/5.63 , substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 4225, [ product( a, multiply( b, X ), X ) ] )
% 5.28/5.63 , clause( 59520, [ product( a, multiply( b, X ), X ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59522, [ equalish( X, a ), ~( product( a, d, X ) ) ] )
% 5.28/5.63 , clause( 28, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 5.28/5.63 , T ) ) ] )
% 5.28/5.63 , 2, clause( 4216, [ product( a, d, a ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, d ), :=( Z, X ), :=( T, a )] ),
% 5.28/5.63 substitution( 1, [] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 4249, [ equalish( X, a ), ~( product( a, d, X ) ) ] )
% 5.28/5.63 , clause( 59522, [ equalish( X, a ), ~( product( a, d, X ) ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 5.28/5.63 1 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59523, [ equalish( d, a ) ] )
% 5.28/5.63 , clause( 4249, [ equalish( X, a ), ~( product( a, d, X ) ) ] )
% 5.28/5.63 , 1, clause( 4213, [ product( a, X, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X, d )] )
% 5.28/5.63 ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 7777, [ equalish( d, a ) ] )
% 5.28/5.63 , clause( 59523, [ equalish( d, a ) ] )
% 5.28/5.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59524, [ ~( product( X, Y, d ) ), product( X, Y, a ) ] )
% 5.28/5.63 , clause( 9, [ ~( product( Z, T, X ) ), product( Z, T, Y ), ~( equalish( X
% 5.28/5.63 , Y ) ) ] )
% 5.28/5.63 , 2, clause( 7777, [ equalish( d, a ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, d ), :=( Y, a ), :=( Z, X ), :=( T, Y )] ),
% 5.28/5.63 substitution( 1, [] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 7785, [ product( X, Y, a ), ~( product( X, Y, d ) ) ] )
% 5.28/5.63 , clause( 59524, [ ~( product( X, Y, d ) ), product( X, Y, a ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.28/5.63 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59526, [ ~( product( 'additive_identity', X, Y ) ), product( Z, Y,
% 5.28/5.63 'additive_identity' ) ] )
% 5.28/5.63 , clause( 237, [ ~( product( X, Y, Z ) ), product( T, Z,
% 5.28/5.63 'additive_identity' ), ~( product( T, X, 'additive_identity' ) ) ] )
% 5.28/5.63 , 2, clause( 26, [ product( X, 'additive_identity', 'additive_identity' ) ]
% 5.28/5.63 )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, 'additive_identity' ), :=( Y, X ), :=( Z, Y
% 5.28/5.63 ), :=( T, Z )] ), substitution( 1, [ :=( X, Z )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 11300, [ product( Z, Y, 'additive_identity' ), ~( product(
% 5.28/5.63 'additive_identity', X, Y ) ) ] )
% 5.28/5.63 , clause( 59526, [ ~( product( 'additive_identity', X, Y ) ), product( Z, Y
% 5.28/5.63 , 'additive_identity' ) ] )
% 5.28/5.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.28/5.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 resolution(
% 5.28/5.63 clause( 59528, [ ~( product( a, X, Y ) ), product( Y, X, X ) ] )
% 5.28/5.63 , clause( 308, [ ~( product( X, Y, Z ) ), product( Z, Y, T ), ~( product( X
% 5.28/5.63 , Y, T ) ) ] )
% 5.28/5.63 , 2, clause( 4213, [ product( a, X, X ) ] )
% 5.28/5.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, X )] ),
% 5.28/5.63 substitution( 1, [ :=( X, X )] )).
% 5.28/5.63
% 5.28/5.63
% 5.28/5.63 subsumption(
% 5.28/5.63 clause( 17715, [ product( Y, X, X ), ~( product( a, X, Y ) ) ] )
% 5.28/5.64 , clause( 59528, [ ~( product( a, X, Y ) ), product( Y, X, X ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.28/5.64 ), ==>( 1, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59529, [ product( multiply( X, a ), d, d ) ] )
% 5.28/5.64 , clause( 17715, [ product( Y, X, X ), ~( product( a, X, Y ) ) ] )
% 5.28/5.64 , 1, clause( 3963, [ product( a, d, multiply( X, a ) ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, d ), :=( Y, multiply( X, a ) )] ),
% 5.28/5.64 substitution( 1, [ :=( X, X )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 19030, [ product( multiply( X, a ), d, d ) ] )
% 5.28/5.64 , clause( 59529, [ product( multiply( X, a ), d, d ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59530, [ product( multiply( X, a ), add( d, 'additive_identity' ),
% 5.28/5.64 d ) ] )
% 5.28/5.64 , clause( 466, [ product( X, add( Y, 'additive_identity' ), Z ), ~( product(
% 5.28/5.64 X, Y, Z ) ) ] )
% 5.28/5.64 , 1, clause( 19030, [ product( multiply( X, a ), d, d ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, multiply( X, a ) ), :=( Y, d ), :=( Z, d )] )
% 5.28/5.64 , substitution( 1, [ :=( X, X )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 41347, [ product( multiply( X, a ), add( d, 'additive_identity' ),
% 5.28/5.64 d ) ] )
% 5.28/5.64 , clause( 59530, [ product( multiply( X, a ), add( d, 'additive_identity' )
% 5.28/5.64 , d ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59531, [ equalish( X, multiply( Y, X ) ) ] )
% 5.28/5.64 , clause( 512, [ equalish( X, multiply( Y, Z ) ), ~( product( a, multiply(
% 5.28/5.64 b, Z ), X ) ) ] )
% 5.28/5.64 , 1, clause( 4225, [ product( a, multiply( b, X ), X ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 5.28/5.64 substitution( 1, [ :=( X, X )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 49112, [ equalish( X, multiply( Y, X ) ) ] )
% 5.28/5.64 , clause( 59531, [ equalish( X, multiply( Y, X ) ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.28/5.64 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59532, [ equalish( X, 'additive_identity' ) ] )
% 5.28/5.64 , clause( 615, [ equalish( X, 'additive_identity' ), ~( equalish( X,
% 5.28/5.64 multiply( 'additive_identity', Y ) ) ) ] )
% 5.28/5.64 , 1, clause( 49112, [ equalish( X, multiply( Y, X ) ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 5.28/5.64 , X ), :=( Y, 'additive_identity' )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 49123, [ equalish( X, 'additive_identity' ) ] )
% 5.28/5.64 , clause( 59532, [ equalish( X, 'additive_identity' ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59533, [ product( X, d, d ) ] )
% 5.28/5.64 , clause( 734, [ product( X, T, T ), ~( product( multiply( X, Y ), Z, T ) )
% 5.28/5.64 ] )
% 5.28/5.64 , 1, clause( 41347, [ product( multiply( X, a ), add( d,
% 5.28/5.64 'additive_identity' ), d ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, add( d,
% 5.28/5.64 'additive_identity' ) ), :=( T, d )] ), substitution( 1, [ :=( X, X )] )
% 5.28/5.64 ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58635, [ product( X, d, d ) ] )
% 5.28/5.64 , clause( 59533, [ product( X, d, d ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59534, [ product( X, d, a ) ] )
% 5.28/5.64 , clause( 7785, [ product( X, Y, a ), ~( product( X, Y, d ) ) ] )
% 5.28/5.64 , 1, clause( 58635, [ product( X, d, d ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, d )] ), substitution( 1, [ :=( X
% 5.28/5.64 , X )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58823, [ product( X, d, a ) ] )
% 5.28/5.64 , clause( 59534, [ product( X, d, a ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59535, [ product( X, a, 'additive_identity' ) ] )
% 5.28/5.64 , clause( 11300, [ product( Z, Y, 'additive_identity' ), ~( product(
% 5.28/5.64 'additive_identity', X, Y ) ) ] )
% 5.28/5.64 , 1, clause( 58823, [ product( X, d, a ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, d ), :=( Y, a ), :=( Z, X )] ),
% 5.28/5.64 substitution( 1, [ :=( X, 'additive_identity' )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58873, [ product( X, a, 'additive_identity' ) ] )
% 5.28/5.64 , clause( 59535, [ product( X, a, 'additive_identity' ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59536, [ equalish( 'additive_identity', d ) ] )
% 5.28/5.64 , clause( 524, [ equalish( X, d ), ~( product( multiply( d, b ), a, X ) ) ]
% 5.28/5.64 )
% 5.28/5.64 , 1, clause( 58873, [ product( X, a, 'additive_identity' ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, 'additive_identity' )] ), substitution( 1, [
% 5.28/5.64 :=( X, multiply( d, b ) )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58896, [ equalish( 'additive_identity', d ) ] )
% 5.28/5.64 , clause( 59536, [ equalish( 'additive_identity', d ) ] )
% 5.28/5.64 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59538, [ ~( equalish( X, 'additive_identity' ) ), equalish( X, d )
% 5.28/5.64 ] )
% 5.28/5.64 , clause( 11, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z
% 5.28/5.64 ) ) ] )
% 5.28/5.64 , 2, clause( 58896, [ equalish( 'additive_identity', d ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' ), :=( Z, d
% 5.28/5.64 )] ), substitution( 1, [] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59539, [ equalish( X, d ) ] )
% 5.28/5.64 , clause( 59538, [ ~( equalish( X, 'additive_identity' ) ), equalish( X, d
% 5.28/5.64 ) ] )
% 5.28/5.64 , 0, clause( 49123, [ equalish( X, 'additive_identity' ) ] )
% 5.28/5.64 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.28/5.64 ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58934, [ equalish( X, d ) ] )
% 5.28/5.64 , clause( 59539, [ equalish( X, d ) ] )
% 5.28/5.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 resolution(
% 5.28/5.64 clause( 59540, [] )
% 5.28/5.64 , clause( 73, [ ~( equalish( c, d ) ) ] )
% 5.28/5.64 , 0, clause( 58934, [ equalish( X, d ) ] )
% 5.28/5.64 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 subsumption(
% 5.28/5.64 clause( 58955, [] )
% 5.28/5.64 , clause( 59540, [] )
% 5.28/5.64 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 end.
% 5.28/5.64
% 5.28/5.64 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.28/5.64
% 5.28/5.64 Memory use:
% 5.28/5.64
% 5.28/5.64 space for terms: 878902
% 5.28/5.64 space for clauses: 2951704
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 clauses generated: 94632
% 5.28/5.64 clauses kept: 58956
% 5.28/5.64 clauses selected: 2234
% 5.28/5.64 clauses deleted: 5817
% 5.28/5.64 clauses inuse deleted: 682
% 5.28/5.64
% 5.28/5.64 subsentry: 1925613
% 5.28/5.64 literals s-matched: 938554
% 5.28/5.64 literals matched: 567263
% 5.28/5.64 full subsumption: 244189
% 5.28/5.64
% 5.28/5.64 checksum: -1367715569
% 5.28/5.64
% 5.28/5.64
% 5.28/5.64 Bliksem ended
%------------------------------------------------------------------------------