TSTP Solution File: NUM017-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM017-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:19:17 EDT 2022
% Result : Unsatisfiable 2.04s 2.42s
% Output : Refutation 2.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jul 7 17:47:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.04/2.42 *** allocated 10000 integers for termspace/termends
% 2.04/2.42 *** allocated 10000 integers for clauses
% 2.04/2.42 *** allocated 10000 integers for justifications
% 2.04/2.42 Bliksem 1.12
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Automatic Strategy Selection
% 2.04/2.42
% 2.04/2.42 Clauses:
% 2.04/2.42 [
% 2.04/2.42 [ equalish( X, X ) ],
% 2.04/2.42 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 2.04/2.42 ,
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z, Y, T ) ]
% 2.04/2.42 ,
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y, Z, T ) ]
% 2.04/2.42 ,
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( divides( Z, X ) ), divides( Z, Y ) ],
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( divides( X, Z ) ), divides( Y, Z ) ],
% 2.04/2.42 [ ~( equalish( X, Y ) ), ~( prime( X ) ), prime( Y ) ],
% 2.04/2.42 [ product( X, Y, multiply( X, Y ) ) ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), ~( product( T, U, Y ) ), ~( product( X, T, W
% 2.04/2.42 ) ), product( W, U, Z ) ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~( product( W, T, X
% 2.04/2.42 ) ), product( W, U, Z ) ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 2.04/2.42 ,
% 2.04/2.42 [ ~( divides( X, Y ) ), ~( divides( Z, X ) ), divides( Z, Y ) ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( T, Z ) ]
% 2.04/2.42 ,
% 2.04/2.42 [ ~( divides( X, Y ) ), product( X, 'second_divided_by_1st'( X, Y ), Y )
% 2.04/2.42 ],
% 2.04/2.42 [ ~( product( X, Y, Z ) ), divides( X, Z ) ],
% 2.04/2.42 [ ~( divides( X, Y ) ), ~( product( Z, Z, Y ) ), ~( prime( X ) ),
% 2.04/2.42 divides( X, Z ) ],
% 2.04/2.42 [ prime( a ) ],
% 2.04/2.42 [ product( b, b, d ) ],
% 2.04/2.42 [ product( c, c, e ) ],
% 2.04/2.42 [ ~( product( a, e, d ) ) ],
% 2.04/2.42 [ ~( divides( X, c ) ), ~( divides( X, b ) ) ]
% 2.04/2.42 ] .
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 percentage equality = 0.000000, percentage horn = 1.000000
% 2.04/2.42 This is a near-Horn, non-equality problem
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Options Used:
% 2.04/2.42
% 2.04/2.42 useres = 1
% 2.04/2.42 useparamod = 0
% 2.04/2.42 useeqrefl = 0
% 2.04/2.42 useeqfact = 0
% 2.04/2.42 usefactor = 1
% 2.04/2.42 usesimpsplitting = 0
% 2.04/2.42 usesimpdemod = 0
% 2.04/2.42 usesimpres = 4
% 2.04/2.42
% 2.04/2.42 resimpinuse = 1000
% 2.04/2.42 resimpclauses = 20000
% 2.04/2.42 substype = standard
% 2.04/2.42 backwardsubs = 1
% 2.04/2.42 selectoldest = 5
% 2.04/2.42
% 2.04/2.42 litorderings [0] = split
% 2.04/2.42 litorderings [1] = liftord
% 2.04/2.42
% 2.04/2.42 termordering = none
% 2.04/2.42
% 2.04/2.42 litapriori = 1
% 2.04/2.42 termapriori = 0
% 2.04/2.42 litaposteriori = 0
% 2.04/2.42 termaposteriori = 0
% 2.04/2.42 demodaposteriori = 0
% 2.04/2.42 ordereqreflfact = 0
% 2.04/2.42
% 2.04/2.42 litselect = negative
% 2.04/2.42
% 2.04/2.42 maxweight = 30000
% 2.04/2.42 maxdepth = 30000
% 2.04/2.42 maxlength = 115
% 2.04/2.42 maxnrvars = 195
% 2.04/2.42 excuselevel = 0
% 2.04/2.42 increasemaxweight = 0
% 2.04/2.42
% 2.04/2.42 maxselected = 10000000
% 2.04/2.42 maxnrclauses = 10000000
% 2.04/2.42
% 2.04/2.42 showgenerated = 0
% 2.04/2.42 showkept = 0
% 2.04/2.42 showselected = 0
% 2.04/2.42 showdeleted = 0
% 2.04/2.42 showresimp = 1
% 2.04/2.42 showstatus = 2000
% 2.04/2.42
% 2.04/2.42 prologoutput = 1
% 2.04/2.42 nrgoals = 5000000
% 2.04/2.42 totalproof = 1
% 2.04/2.42
% 2.04/2.42 Symbols occurring in the translation:
% 2.04/2.42
% 2.04/2.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.04/2.42 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 2.04/2.42 ! [4, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.04/2.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.04/2.42 equalish [40, 2] (w:1, o:55, a:1, s:1, b:0),
% 2.04/2.42 product [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 2.04/2.42 divides [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 2.04/2.42 prime [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 2.04/2.42 multiply [50, 2] (w:1, o:56, a:1, s:1, b:0),
% 2.04/2.42 'second_divided_by_1st' [53, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.04/2.42 a [54, 0] (w:1, o:18, a:1, s:1, b:0),
% 2.04/2.42 b [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 2.04/2.42 d [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 2.04/2.42 c [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.04/2.42 e [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Starting Search:
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 2566
% 2.04/2.42 Kept: 2001
% 2.04/2.42 Inuse: 396
% 2.04/2.42 Deleted: 3
% 2.04/2.42 Deletedinuse: 1
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 5776
% 2.04/2.42 Kept: 4005
% 2.04/2.42 Inuse: 591
% 2.04/2.42 Deleted: 11
% 2.04/2.42 Deletedinuse: 7
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 8612
% 2.04/2.42 Kept: 6018
% 2.04/2.42 Inuse: 738
% 2.04/2.42 Deleted: 21
% 2.04/2.42 Deletedinuse: 13
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 11575
% 2.04/2.42 Kept: 8029
% 2.04/2.42 Inuse: 889
% 2.04/2.42 Deleted: 29
% 2.04/2.42 Deletedinuse: 13
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 14381
% 2.04/2.42 Kept: 10029
% 2.04/2.42 Inuse: 1043
% 2.04/2.42 Deleted: 33
% 2.04/2.42 Deletedinuse: 17
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 17699
% 2.04/2.42 Kept: 12029
% 2.04/2.42 Inuse: 1193
% 2.04/2.42 Deleted: 45
% 2.04/2.42 Deletedinuse: 25
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 20687
% 2.04/2.42 Kept: 14043
% 2.04/2.42 Inuse: 1293
% 2.04/2.42 Deleted: 59
% 2.04/2.42 Deletedinuse: 35
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 23639
% 2.04/2.42 Kept: 16049
% 2.04/2.42 Inuse: 1394
% 2.04/2.42 Deleted: 79
% 2.04/2.42 Deletedinuse: 51
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 27376
% 2.04/2.42 Kept: 18057
% 2.04/2.42 Inuse: 1489
% 2.04/2.42 Deleted: 107
% 2.04/2.42 Deletedinuse: 77
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying clauses:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 30902
% 2.04/2.42 Kept: 20085
% 2.04/2.42 Inuse: 1561
% 2.04/2.42 Deleted: 3174
% 2.04/2.42 Deletedinuse: 177
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 34550
% 2.04/2.42 Kept: 22098
% 2.04/2.42 Inuse: 1679
% 2.04/2.42 Deleted: 3180
% 2.04/2.42 Deletedinuse: 183
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 37705
% 2.04/2.42 Kept: 24118
% 2.04/2.42 Inuse: 1769
% 2.04/2.42 Deleted: 3184
% 2.04/2.42 Deletedinuse: 187
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 40900
% 2.04/2.42 Kept: 26120
% 2.04/2.42 Inuse: 1865
% 2.04/2.42 Deleted: 3189
% 2.04/2.42 Deletedinuse: 190
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 44543
% 2.04/2.42 Kept: 28121
% 2.04/2.42 Inuse: 2287
% 2.04/2.42 Deleted: 3197
% 2.04/2.42 Deletedinuse: 190
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 47439
% 2.04/2.42 Kept: 30179
% 2.04/2.42 Inuse: 2547
% 2.04/2.42 Deleted: 3207
% 2.04/2.42 Deletedinuse: 190
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 50247
% 2.04/2.42 Kept: 32349
% 2.04/2.42 Inuse: 2644
% 2.04/2.42 Deleted: 3363
% 2.04/2.42 Deletedinuse: 344
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Intermediate Status:
% 2.04/2.42 Generated: 53323
% 2.04/2.42 Kept: 34799
% 2.04/2.42 Inuse: 2739
% 2.04/2.42 Deleted: 3548
% 2.04/2.42 Deletedinuse: 529
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42 Resimplifying inuse:
% 2.04/2.42 Done
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 Bliksems!, er is een bewijs:
% 2.04/2.42 % SZS status Unsatisfiable
% 2.04/2.42 % SZS output start Refutation
% 2.04/2.42
% 2.04/2.42 clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 2.04/2.42 ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 6, [ ~( divides( Z, X ) ), divides( Z, Y ), ~( equalish( X, Y ) ) ]
% 2.04/2.42 )
% 2.04/2.42 .
% 2.04/2.42 clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 10, [ ~( product( X, Y, Z ) ), ~( product( X, T, W ) ), product( W
% 2.04/2.42 , U, Z ), ~( product( T, U, Y ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 11, [ ~( product( T, Y, U ) ), ~( product( X, Y, Z ) ), product( W
% 2.04/2.42 , U, Z ), ~( product( W, T, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 12, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 13, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 2.04/2.42 Z ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 15, [ equalish( T, Z ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 2.04/2.42 T ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 16, [ product( X, 'second_divided_by_1st'( X, Y ), Y ), ~( divides(
% 2.04/2.42 X, Y ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 17, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 18, [ ~( divides( X, Y ) ), ~( prime( X ) ), divides( X, Z ), ~(
% 2.04/2.42 product( Z, Z, Y ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 19, [ prime( a ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 23, [ ~( divides( X, c ) ), ~( divides( X, b ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 26, [ product( T, Z, Z ), ~( product( X, Y, Z ) ), ~( product( T, X
% 2.04/2.42 , X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 32, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 33, [ product( X, 'second_divided_by_1st'( X, multiply( Y, X ) ),
% 2.04/2.42 multiply( Y, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 67, [ ~( product( X, multiply( Y, Z ), T ) ), product( U, Z, T ),
% 2.04/2.42 ~( product( X, Y, U ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 121, [ equalish( X, Y ), ~( product( Z, X, multiply( Y, Z ) ) ) ]
% 2.04/2.42 )
% 2.04/2.42 .
% 2.04/2.42 clause( 153, [ equalish( multiply( X, Y ), Z ), ~( product( Y, X, Z ) ) ]
% 2.04/2.42 )
% 2.04/2.42 .
% 2.04/2.42 clause( 173, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, multiply( Y
% 2.04/2.42 , Y ) ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 523, [ product( multiply( X, Y ), Z, T ), ~( product( X, multiply(
% 2.04/2.42 Y, Z ), T ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 1005, [ equalish( multiply( X, Y ), multiply( Y, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 1012, [ equalish( X, multiply( Z, Y ) ), ~( equalish( X, multiply(
% 2.04/2.42 Y, Z ) ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2599, [ divides( X, X ), ~( prime( X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2606, [ divides( a, a ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2607, [ product( a, 'second_divided_by_1st'( a, a ), a ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2624, [ product( 'second_divided_by_1st'( a, a ), a, a ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 2633, [ product( 'second_divided_by_1st'( a, a ), X, X ), ~(
% 2.04/2.42 product( a, Y, X ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 7102, [ product( 'second_divided_by_1st'( a, a ), multiply( X, a )
% 2.04/2.42 , multiply( X, a ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20201, [ product( multiply( 'second_divided_by_1st'( a, a ), X ), a
% 2.04/2.42 , multiply( X, a ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20300, [ product( a, multiply( 'second_divided_by_1st'( a, a ), X )
% 2.04/2.42 , multiply( X, a ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20313, [ equalish( multiply( 'second_divided_by_1st'( a, a ), X ),
% 2.04/2.42 X ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20343, [ equalish( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.42 ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20362, [ equalish( X, multiply( X, 'second_divided_by_1st'( a, a )
% 2.04/2.42 ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20377, [ equalish( multiply( X, 'second_divided_by_1st'( a, a ) ),
% 2.04/2.42 X ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 20387, [ divides( X, Y ), ~( divides( X, multiply( Y,
% 2.04/2.42 'second_divided_by_1st'( a, a ) ) ) ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 36235, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.42 .
% 2.04/2.42 clause( 36248, [] )
% 2.04/2.42 .
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 % SZS output end Refutation
% 2.04/2.42 found a proof!
% 2.04/2.42
% 2.04/2.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.42
% 2.04/2.42 initialclauses(
% 2.04/2.42 [ clause( 36250, [ equalish( X, X ) ] )
% 2.04/2.42 , clause( 36251, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 2.04/2.42 , clause( 36252, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 2.04/2.42 X, Z ) ] )
% 2.04/2.42 , clause( 36253, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 2.04/2.42 Z, T, Y ) ] )
% 2.04/2.42 , clause( 36254, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product(
% 2.04/2.42 Z, Y, T ) ] )
% 2.04/2.42 , clause( 36255, [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product(
% 2.04/2.42 Y, Z, T ) ] )
% 2.04/2.42 , clause( 36256, [ ~( equalish( X, Y ) ), ~( divides( Z, X ) ), divides( Z
% 2.04/2.42 , Y ) ] )
% 2.04/2.42 , clause( 36257, [ ~( equalish( X, Y ) ), ~( divides( X, Z ) ), divides( Y
% 2.04/2.42 , Z ) ] )
% 2.04/2.42 , clause( 36258, [ ~( equalish( X, Y ) ), ~( prime( X ) ), prime( Y ) ] )
% 2.04/2.42 , clause( 36259, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.42 , clause( 36260, [ ~( product( X, Y, Z ) ), ~( product( T, U, Y ) ), ~(
% 2.04/2.42 product( X, T, W ) ), product( W, U, Z ) ] )
% 2.04/2.42 , clause( 36261, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~(
% 2.04/2.42 product( W, T, X ) ), product( W, U, Z ) ] )
% 2.04/2.42 , clause( 36262, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 2.04/2.42 , clause( 36263, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 2.04/2.42 equalish( Y, T ) ] )
% 2.04/2.42 , clause( 36264, [ ~( divides( X, Y ) ), ~( divides( Z, X ) ), divides( Z,
% 2.04/2.42 Y ) ] )
% 2.04/2.42 , clause( 36265, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 2.04/2.42 equalish( T, Z ) ] )
% 2.04/2.42 , clause( 36266, [ ~( divides( X, Y ) ), product( X,
% 2.04/2.42 'second_divided_by_1st'( X, Y ), Y ) ] )
% 2.04/2.42 , clause( 36267, [ ~( product( X, Y, Z ) ), divides( X, Z ) ] )
% 2.04/2.42 , clause( 36268, [ ~( divides( X, Y ) ), ~( product( Z, Z, Y ) ), ~( prime(
% 2.04/2.42 X ) ), divides( X, Z ) ] )
% 2.04/2.42 , clause( 36269, [ prime( a ) ] )
% 2.04/2.42 , clause( 36270, [ product( b, b, d ) ] )
% 2.04/2.42 , clause( 36271, [ product( c, c, e ) ] )
% 2.04/2.42 , clause( 36272, [ ~( product( a, e, d ) ) ] )
% 2.04/2.42 , clause( 36273, [ ~( divides( X, c ) ), ~( divides( X, b ) ) ] )
% 2.04/2.42 ] ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 2.04/2.42 , clause( 36251, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.04/2.42 ), ==>( 1, 0 )] ) ).
% 2.04/2.42
% 2.04/2.42
% 2.04/2.42 subsumption(
% 2.04/2.42 clause( 2, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 2.04/2.42 ] )
% 2.04/2.42 , clause( 36252, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 2.04/2.42 X, Z ) ] )
% 2.04/2.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 6, [ ~( divides( Z, X ) ), divides( Z, Y ), ~( equalish( X, Y ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , clause( 36256, [ ~( equalish( X, Y ) ), ~( divides( Z, X ) ), divides( Z
% 2.04/2.43 , Y ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , clause( 36259, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 10, [ ~( product( X, Y, Z ) ), ~( product( X, T, W ) ), product( W
% 2.04/2.43 , U, Z ), ~( product( T, U, Y ) ) ] )
% 2.04/2.43 , clause( 36260, [ ~( product( X, Y, Z ) ), ~( product( T, U, Y ) ), ~(
% 2.04/2.43 product( X, T, W ) ), product( W, U, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.04/2.43 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 2.04/2.43 , 1 ), ==>( 3, 2 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 11, [ ~( product( T, Y, U ) ), ~( product( X, Y, Z ) ), product( W
% 2.04/2.43 , U, Z ), ~( product( W, T, X ) ) ] )
% 2.04/2.43 , clause( 36261, [ ~( product( X, Y, Z ) ), ~( product( T, Y, U ) ), ~(
% 2.04/2.43 product( W, T, X ) ), product( W, U, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.04/2.43 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 2.04/2.43 , 3 ), ==>( 3, 2 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 12, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , clause( 36262, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 13, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T,
% 2.04/2.43 Z ) ) ] )
% 2.04/2.43 , clause( 36263, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ),
% 2.04/2.43 equalish( Y, T ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 15, [ equalish( T, Z ), ~( product( X, Y, Z ) ), ~( product( X, Y,
% 2.04/2.43 T ) ) ] )
% 2.04/2.43 , clause( 36265, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 2.04/2.43 equalish( T, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 16, [ product( X, 'second_divided_by_1st'( X, Y ), Y ), ~( divides(
% 2.04/2.43 X, Y ) ) ] )
% 2.04/2.43 , clause( 36266, [ ~( divides( X, Y ) ), product( X,
% 2.04/2.43 'second_divided_by_1st'( X, Y ), Y ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.04/2.43 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 17, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , clause( 36267, [ ~( product( X, Y, Z ) ), divides( X, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 18, [ ~( divides( X, Y ) ), ~( prime( X ) ), divides( X, Z ), ~(
% 2.04/2.43 product( Z, Z, Y ) ) ] )
% 2.04/2.43 , clause( 36268, [ ~( divides( X, Y ) ), ~( product( Z, Z, Y ) ), ~( prime(
% 2.04/2.43 X ) ), divides( X, Z ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 2.04/2.43 ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 19, [ prime( a ) ] )
% 2.04/2.43 , clause( 36269, [ prime( a ) ] )
% 2.04/2.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 23, [ ~( divides( X, c ) ), ~( divides( X, b ) ) ] )
% 2.04/2.43 , clause( 36273, [ ~( divides( X, c ) ), ~( divides( X, b ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.04/2.43 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 factor(
% 2.04/2.43 clause( 36382, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product( T
% 2.04/2.43 , X, X ) ) ] )
% 2.04/2.43 , clause( 11, [ ~( product( T, Y, U ) ), ~( product( X, Y, Z ) ), product(
% 2.04/2.43 W, U, Z ), ~( product( W, T, X ) ) ] )
% 2.04/2.43 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 2.04/2.43 :=( U, Z ), :=( W, T )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 26, [ product( T, Z, Z ), ~( product( X, Y, Z ) ), ~( product( T, X
% 2.04/2.43 , X ) ) ] )
% 2.04/2.43 , clause( 36382, [ ~( product( X, Y, Z ) ), product( T, Z, Z ), ~( product(
% 2.04/2.43 T, X, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36386, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 12, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , 1, clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( Y, X ) )] )
% 2.04/2.43 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 36386, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36387, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 17, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , 1, clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Y, X ) )] )
% 2.04/2.43 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 32, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 36387, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36388, [ product( X, 'second_divided_by_1st'( X, multiply( Y, X ) )
% 2.04/2.43 , multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 16, [ product( X, 'second_divided_by_1st'( X, Y ), Y ), ~(
% 2.04/2.43 divides( X, Y ) ) ] )
% 2.04/2.43 , 1, clause( 32, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, X ) )] ),
% 2.04/2.43 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 33, [ product( X, 'second_divided_by_1st'( X, multiply( Y, X ) ),
% 2.04/2.43 multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 36388, [ product( X, 'second_divided_by_1st'( X, multiply( Y, X )
% 2.04/2.43 ), multiply( Y, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36391, [ ~( product( X, multiply( Y, Z ), T ) ), ~( product( X, Y,
% 2.04/2.43 U ) ), product( U, Z, T ) ] )
% 2.04/2.43 , clause( 10, [ ~( product( X, Y, Z ) ), ~( product( X, T, W ) ), product(
% 2.04/2.43 W, U, Z ), ~( product( T, U, Y ) ) ] )
% 2.04/2.43 , 3, clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z, T ),
% 2.04/2.43 :=( T, Y ), :=( U, Z ), :=( W, U )] ), substitution( 1, [ :=( X, Y ),
% 2.04/2.43 :=( Y, Z )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 67, [ ~( product( X, multiply( Y, Z ), T ) ), product( U, Z, T ),
% 2.04/2.43 ~( product( X, Y, U ) ) ] )
% 2.04/2.43 , clause( 36391, [ ~( product( X, multiply( Y, Z ), T ) ), ~( product( X, Y
% 2.04/2.43 , U ) ), product( U, Z, T ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.04/2.43 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 2.04/2.43 ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36395, [ equalish( X, Y ), ~( product( Z, X, multiply( Y, Z ) ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , clause( 13, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 2.04/2.43 , Z ) ) ] )
% 2.04/2.43 , 2, clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, multiply( Y, Z ) ),
% 2.04/2.43 :=( T, Y )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 121, [ equalish( X, Y ), ~( product( Z, X, multiply( Y, Z ) ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , clause( 36395, [ equalish( X, Y ), ~( product( Z, X, multiply( Y, Z ) ) )
% 2.04/2.43 ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36397, [ equalish( multiply( X, Y ), Z ), ~( product( Y, X, Z ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , clause( 15, [ equalish( T, Z ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 2.04/2.43 , T ) ) ] )
% 2.04/2.43 , 2, clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, multiply(
% 2.04/2.43 X, Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 153, [ equalish( multiply( X, Y ), Z ), ~( product( Y, X, Z ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , clause( 36397, [ equalish( multiply( X, Y ), Z ), ~( product( Y, X, Z ) )
% 2.04/2.43 ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36398, [ ~( divides( X, multiply( Y, Y ) ) ), ~( prime( X ) ),
% 2.04/2.43 divides( X, Y ) ] )
% 2.04/2.43 , clause( 18, [ ~( divides( X, Y ) ), ~( prime( X ) ), divides( X, Z ), ~(
% 2.04/2.43 product( Z, Z, Y ) ) ] )
% 2.04/2.43 , 3, clause( 31, [ product( X, Y, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Y ) ), :=( Z, Y )] )
% 2.04/2.43 , substitution( 1, [ :=( X, Y ), :=( Y, Y )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 173, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, multiply( Y
% 2.04/2.43 , Y ) ) ) ] )
% 2.04/2.43 , clause( 36398, [ ~( divides( X, multiply( Y, Y ) ) ), ~( prime( X ) ),
% 2.04/2.43 divides( X, Y ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 2.04/2.43 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36400, [ ~( product( X, multiply( Y, Z ), T ) ), product( multiply(
% 2.04/2.43 X, Y ), Z, T ) ] )
% 2.04/2.43 , clause( 67, [ ~( product( X, multiply( Y, Z ), T ) ), product( U, Z, T )
% 2.04/2.43 , ~( product( X, Y, U ) ) ] )
% 2.04/2.43 , 2, clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 2.04/2.43 :=( U, multiply( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 2.04/2.43 ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 523, [ product( multiply( X, Y ), Z, T ), ~( product( X, multiply(
% 2.04/2.43 Y, Z ), T ) ) ] )
% 2.04/2.43 , clause( 36400, [ ~( product( X, multiply( Y, Z ), T ) ), product(
% 2.04/2.43 multiply( X, Y ), Z, T ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36401, [ equalish( multiply( X, Y ), multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 153, [ equalish( multiply( X, Y ), Z ), ~( product( Y, X, Z ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , 1, clause( 9, [ product( X, Y, multiply( X, Y ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Y, X ) )] )
% 2.04/2.43 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 1005, [ equalish( multiply( X, Y ), multiply( Y, X ) ) ] )
% 2.04/2.43 , clause( 36401, [ equalish( multiply( X, Y ), multiply( Y, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36403, [ ~( equalish( X, multiply( Y, Z ) ) ), equalish( X,
% 2.04/2.43 multiply( Z, Y ) ) ] )
% 2.04/2.43 , clause( 2, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 2.04/2.43 ) ] )
% 2.04/2.43 , 2, clause( 1005, [ equalish( multiply( X, Y ), multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) ), :=( Z,
% 2.04/2.43 multiply( Z, Y ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 1012, [ equalish( X, multiply( Z, Y ) ), ~( equalish( X, multiply(
% 2.04/2.43 Y, Z ) ) ) ] )
% 2.04/2.43 , clause( 36403, [ ~( equalish( X, multiply( Y, Z ) ) ), equalish( X,
% 2.04/2.43 multiply( Z, Y ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.04/2.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36404, [ ~( prime( X ) ), divides( X, X ) ] )
% 2.04/2.43 , clause( 173, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, multiply(
% 2.04/2.43 Y, Y ) ) ) ] )
% 2.04/2.43 , 2, clause( 32, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 2.04/2.43 , X ), :=( Y, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 2599, [ divides( X, X ), ~( prime( X ) ) ] )
% 2.04/2.43 , clause( 36404, [ ~( prime( X ) ), divides( X, X ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 2.04/2.43 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36405, [ divides( a, a ) ] )
% 2.04/2.43 , clause( 2599, [ divides( X, X ), ~( prime( X ) ) ] )
% 2.04/2.43 , 1, clause( 19, [ prime( a ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 2606, [ divides( a, a ) ] )
% 2.04/2.43 , clause( 36405, [ divides( a, a ) ] )
% 2.04/2.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36406, [ product( a, 'second_divided_by_1st'( a, a ), a ) ] )
% 2.04/2.43 , clause( 16, [ product( X, 'second_divided_by_1st'( X, Y ), Y ), ~(
% 2.04/2.43 divides( X, Y ) ) ] )
% 2.04/2.43 , 1, clause( 2606, [ divides( a, a ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 2.04/2.43 ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 2607, [ product( a, 'second_divided_by_1st'( a, a ), a ) ] )
% 2.04/2.43 , clause( 36406, [ product( a, 'second_divided_by_1st'( a, a ), a ) ] )
% 2.04/2.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36407, [ product( 'second_divided_by_1st'( a, a ), a, a ) ] )
% 2.04/2.43 , clause( 12, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , 1, clause( 2607, [ product( a, 'second_divided_by_1st'( a, a ), a ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, a ), :=( Y, 'second_divided_by_1st'( a, a )
% 2.04/2.43 ), :=( Z, a )] ), substitution( 1, [] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 2624, [ product( 'second_divided_by_1st'( a, a ), a, a ) ] )
% 2.04/2.43 , clause( 36407, [ product( 'second_divided_by_1st'( a, a ), a, a ) ] )
% 2.04/2.43 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36409, [ product( 'second_divided_by_1st'( a, a ), X, X ), ~(
% 2.04/2.43 product( a, Y, X ) ) ] )
% 2.04/2.43 , clause( 26, [ product( T, Z, Z ), ~( product( X, Y, Z ) ), ~( product( T
% 2.04/2.43 , X, X ) ) ] )
% 2.04/2.43 , 2, clause( 2624, [ product( 'second_divided_by_1st'( a, a ), a, a ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, a ), :=( Y, Y ), :=( Z, X ), :=( T,
% 2.04/2.43 'second_divided_by_1st'( a, a ) )] ), substitution( 1, [] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 2633, [ product( 'second_divided_by_1st'( a, a ), X, X ), ~(
% 2.04/2.43 product( a, Y, X ) ) ] )
% 2.04/2.43 , clause( 36409, [ product( 'second_divided_by_1st'( a, a ), X, X ), ~(
% 2.04/2.43 product( a, Y, X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.04/2.43 ), ==>( 1, 1 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36410, [ product( 'second_divided_by_1st'( a, a ), multiply( X, a )
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 2633, [ product( 'second_divided_by_1st'( a, a ), X, X ), ~(
% 2.04/2.43 product( a, Y, X ) ) ] )
% 2.04/2.43 , 1, clause( 33, [ product( X, 'second_divided_by_1st'( X, multiply( Y, X )
% 2.04/2.43 ), multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, multiply( X, a ) ), :=( Y,
% 2.04/2.43 'second_divided_by_1st'( a, multiply( X, a ) ) )] ), substitution( 1, [
% 2.04/2.43 :=( X, a ), :=( Y, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 7102, [ product( 'second_divided_by_1st'( a, a ), multiply( X, a )
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 36410, [ product( 'second_divided_by_1st'( a, a ), multiply( X, a
% 2.04/2.43 ), multiply( X, a ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36411, [ product( multiply( 'second_divided_by_1st'( a, a ), X ), a
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 523, [ product( multiply( X, Y ), Z, T ), ~( product( X, multiply(
% 2.04/2.43 Y, Z ), T ) ) ] )
% 2.04/2.43 , 1, clause( 7102, [ product( 'second_divided_by_1st'( a, a ), multiply( X
% 2.04/2.43 , a ), multiply( X, a ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, 'second_divided_by_1st'( a, a ) ), :=( Y, X
% 2.04/2.43 ), :=( Z, a ), :=( T, multiply( X, a ) )] ), substitution( 1, [ :=( X, X
% 2.04/2.43 )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20201, [ product( multiply( 'second_divided_by_1st'( a, a ), X ), a
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 36411, [ product( multiply( 'second_divided_by_1st'( a, a ), X )
% 2.04/2.43 , a, multiply( X, a ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36412, [ product( a, multiply( 'second_divided_by_1st'( a, a ), X )
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 12, [ product( Y, X, Z ), ~( product( X, Y, Z ) ) ] )
% 2.04/2.43 , 1, clause( 20201, [ product( multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ), a, multiply( X, a ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ) ), :=( Y, a ), :=( Z, multiply( X, a ) )] ), substitution( 1, [ :=( X
% 2.04/2.43 , X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20300, [ product( a, multiply( 'second_divided_by_1st'( a, a ), X )
% 2.04/2.43 , multiply( X, a ) ) ] )
% 2.04/2.43 , clause( 36412, [ product( a, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ), multiply( X, a ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36413, [ equalish( multiply( 'second_divided_by_1st'( a, a ), X ),
% 2.04/2.43 X ) ] )
% 2.04/2.43 , clause( 121, [ equalish( X, Y ), ~( product( Z, X, multiply( Y, Z ) ) ) ]
% 2.04/2.43 )
% 2.04/2.43 , 1, clause( 20300, [ product( a, multiply( 'second_divided_by_1st'( a, a )
% 2.04/2.43 , X ), multiply( X, a ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ) ), :=( Y, X ), :=( Z, a )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20313, [ equalish( multiply( 'second_divided_by_1st'( a, a ), X ),
% 2.04/2.43 X ) ] )
% 2.04/2.43 , clause( 36413, [ equalish( multiply( 'second_divided_by_1st'( a, a ), X )
% 2.04/2.43 , X ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36414, [ equalish( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ) ) ] )
% 2.04/2.43 , clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 2.04/2.43 , 1, clause( 20313, [ equalish( multiply( 'second_divided_by_1st'( a, a ),
% 2.04/2.43 X ), X ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20343, [ equalish( X, multiply( 'second_divided_by_1st'( a, a ), X
% 2.04/2.43 ) ) ] )
% 2.04/2.43 , clause( 36414, [ equalish( X, multiply( 'second_divided_by_1st'( a, a ),
% 2.04/2.43 X ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36415, [ equalish( X, multiply( X, 'second_divided_by_1st'( a, a )
% 2.04/2.43 ) ) ] )
% 2.04/2.43 , clause( 1012, [ equalish( X, multiply( Z, Y ) ), ~( equalish( X, multiply(
% 2.04/2.43 Y, Z ) ) ) ] )
% 2.04/2.43 , 1, clause( 20343, [ equalish( X, multiply( 'second_divided_by_1st'( a, a
% 2.04/2.43 ), X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'second_divided_by_1st'( a, a )
% 2.04/2.43 ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20362, [ equalish( X, multiply( X, 'second_divided_by_1st'( a, a )
% 2.04/2.43 ) ) ] )
% 2.04/2.43 , clause( 36415, [ equalish( X, multiply( X, 'second_divided_by_1st'( a, a
% 2.04/2.43 ) ) ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36416, [ equalish( multiply( X, 'second_divided_by_1st'( a, a ) ),
% 2.04/2.43 X ) ] )
% 2.04/2.43 , clause( 1, [ equalish( Y, X ), ~( equalish( X, Y ) ) ] )
% 2.04/2.43 , 1, clause( 20362, [ equalish( X, multiply( X, 'second_divided_by_1st'( a
% 2.04/2.43 , a ) ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( X,
% 2.04/2.43 'second_divided_by_1st'( a, a ) ) )] ), substitution( 1, [ :=( X, X )] )
% 2.04/2.43 ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20377, [ equalish( multiply( X, 'second_divided_by_1st'( a, a ) ),
% 2.04/2.43 X ) ] )
% 2.04/2.43 , clause( 36416, [ equalish( multiply( X, 'second_divided_by_1st'( a, a ) )
% 2.04/2.43 , X ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36417, [ ~( divides( X, multiply( Y, 'second_divided_by_1st'( a, a
% 2.04/2.43 ) ) ) ), divides( X, Y ) ] )
% 2.04/2.43 , clause( 6, [ ~( divides( Z, X ) ), divides( Z, Y ), ~( equalish( X, Y ) )
% 2.04/2.43 ] )
% 2.04/2.43 , 2, clause( 20377, [ equalish( multiply( X, 'second_divided_by_1st'( a, a
% 2.04/2.43 ) ), X ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, multiply( Y, 'second_divided_by_1st'( a, a )
% 2.04/2.43 ) ), :=( Y, Y ), :=( Z, X )] ), substitution( 1, [ :=( X, Y )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 20387, [ divides( X, Y ), ~( divides( X, multiply( Y,
% 2.04/2.43 'second_divided_by_1st'( a, a ) ) ) ) ] )
% 2.04/2.43 , clause( 36417, [ ~( divides( X, multiply( Y, 'second_divided_by_1st'( a,
% 2.04/2.43 a ) ) ) ), divides( X, Y ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.04/2.43 ), ==>( 1, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36418, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.43 , clause( 20387, [ divides( X, Y ), ~( divides( X, multiply( Y,
% 2.04/2.43 'second_divided_by_1st'( a, a ) ) ) ) ] )
% 2.04/2.43 , 1, clause( 32, [ divides( X, multiply( Y, X ) ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, 'second_divided_by_1st'( a, a ) ), :=( Y, X
% 2.04/2.43 )] ), substitution( 1, [ :=( X, 'second_divided_by_1st'( a, a ) ), :=( Y
% 2.04/2.43 , X )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 36235, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.43 , clause( 36418, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36419, [ ~( divides( 'second_divided_by_1st'( a, a ), b ) ) ] )
% 2.04/2.43 , clause( 23, [ ~( divides( X, c ) ), ~( divides( X, b ) ) ] )
% 2.04/2.43 , 0, clause( 36235, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.43 , 0, substitution( 0, [ :=( X, 'second_divided_by_1st'( a, a ) )] ),
% 2.04/2.43 substitution( 1, [ :=( X, c )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 resolution(
% 2.04/2.43 clause( 36421, [] )
% 2.04/2.43 , clause( 36419, [ ~( divides( 'second_divided_by_1st'( a, a ), b ) ) ] )
% 2.04/2.43 , 0, clause( 36235, [ divides( 'second_divided_by_1st'( a, a ), X ) ] )
% 2.04/2.43 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 subsumption(
% 2.04/2.43 clause( 36248, [] )
% 2.04/2.43 , clause( 36421, [] )
% 2.04/2.43 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 end.
% 2.04/2.43
% 2.04/2.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.04/2.43
% 2.04/2.43 Memory use:
% 2.04/2.43
% 2.04/2.43 space for terms: 611432
% 2.04/2.43 space for clauses: 2508660
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 clauses generated: 56157
% 2.04/2.43 clauses kept: 36249
% 2.04/2.43 clauses selected: 2811
% 2.04/2.43 clauses deleted: 3569
% 2.04/2.43 clauses inuse deleted: 550
% 2.04/2.43
% 2.04/2.43 subsentry: 375205
% 2.04/2.43 literals s-matched: 212742
% 2.04/2.43 literals matched: 200219
% 2.04/2.43 full subsumption: 18692
% 2.04/2.43
% 2.04/2.43 checksum: 197472224
% 2.04/2.43
% 2.04/2.43
% 2.04/2.43 Bliksem ended
%------------------------------------------------------------------------------