TSTP Solution File: HEN007-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN007-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Sat Jul 16 12:47:07 EDT 2022
% Result : Unsatisfiable 116.63s 117.00s
% Output : Refutation 116.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN007-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jul 1 14:46:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 68.86/69.23 *** allocated 10000 integers for termspace/termends
% 68.86/69.23 *** allocated 10000 integers for clauses
% 68.86/69.23 *** allocated 10000 integers for justifications
% 68.86/69.23 Bliksem 1.12
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Automatic Strategy Selection
% 68.86/69.23
% 68.86/69.23 Clauses:
% 68.86/69.23 [
% 68.86/69.23 [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ],
% 68.86/69.23 [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ],
% 68.86/69.23 [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ],
% 68.86/69.23 [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~( quotient( X, T
% 68.86/69.23 , W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 ) ),
% 68.86/69.23 'less_equal'( V0, V1 ) ],
% 68.86/69.23 [ 'less_equal'( zero, X ) ],
% 68.86/69.23 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 68.86/69.23 [ 'less_equal'( X, identity ) ],
% 68.86/69.23 [ quotient( X, Y, divide( X, Y ) ) ],
% 68.86/69.23 [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z, T ) ],
% 68.86/69.23 [ quotient( X, identity, zero ) ],
% 68.86/69.23 [ quotient( zero, X, zero ) ],
% 68.86/69.23 [ quotient( X, X, zero ) ],
% 68.86/69.23 [ quotient( X, zero, X ) ],
% 68.86/69.23 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 68.86/69.23 , Z ) ],
% 68.86/69.23 [ 'less_equal'( x, y ) ],
% 68.86/69.23 [ quotient( z, y, zQy ) ],
% 68.86/69.23 [ quotient( z, x, zQx ) ],
% 68.86/69.23 [ ~( 'less_equal'( zQy, zQx ) ) ]
% 68.86/69.23 ] .
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 percentage equality = 0.062500, percentage horn = 1.000000
% 68.86/69.23 This is a problem with some equality
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Options Used:
% 68.86/69.23
% 68.86/69.23 useres = 1
% 68.86/69.23 useparamod = 1
% 68.86/69.23 useeqrefl = 1
% 68.86/69.23 useeqfact = 1
% 68.86/69.23 usefactor = 1
% 68.86/69.23 usesimpsplitting = 0
% 68.86/69.23 usesimpdemod = 5
% 68.86/69.23 usesimpres = 3
% 68.86/69.23
% 68.86/69.23 resimpinuse = 1000
% 68.86/69.23 resimpclauses = 20000
% 68.86/69.23 substype = eqrewr
% 68.86/69.23 backwardsubs = 1
% 68.86/69.23 selectoldest = 5
% 68.86/69.23
% 68.86/69.23 litorderings [0] = split
% 68.86/69.23 litorderings [1] = extend the termordering, first sorting on arguments
% 68.86/69.23
% 68.86/69.23 termordering = kbo
% 68.86/69.23
% 68.86/69.23 litapriori = 0
% 68.86/69.23 termapriori = 1
% 68.86/69.23 litaposteriori = 0
% 68.86/69.23 termaposteriori = 0
% 68.86/69.23 demodaposteriori = 0
% 68.86/69.23 ordereqreflfact = 0
% 68.86/69.23
% 68.86/69.23 litselect = negord
% 68.86/69.23
% 68.86/69.23 maxweight = 15
% 68.86/69.23 maxdepth = 30000
% 68.86/69.23 maxlength = 115
% 68.86/69.23 maxnrvars = 195
% 68.86/69.23 excuselevel = 1
% 68.86/69.23 increasemaxweight = 1
% 68.86/69.23
% 68.86/69.23 maxselected = 10000000
% 68.86/69.23 maxnrclauses = 10000000
% 68.86/69.23
% 68.86/69.23 showgenerated = 0
% 68.86/69.23 showkept = 0
% 68.86/69.23 showselected = 0
% 68.86/69.23 showdeleted = 0
% 68.86/69.23 showresimp = 1
% 68.86/69.23 showstatus = 2000
% 68.86/69.23
% 68.86/69.23 prologoutput = 1
% 68.86/69.23 nrgoals = 5000000
% 68.86/69.23 totalproof = 1
% 68.86/69.23
% 68.86/69.23 Symbols occurring in the translation:
% 68.86/69.23
% 68.86/69.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 68.86/69.23 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 68.86/69.23 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 68.86/69.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 68.86/69.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 68.86/69.23 'less_equal' [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 68.86/69.23 zero [42, 0] (w:1, o:13, a:1, s:1, b:0),
% 68.86/69.23 quotient [43, 3] (w:1, o:57, a:1, s:1, b:0),
% 68.86/69.23 identity [50, 0] (w:1, o:20, a:1, s:1, b:0),
% 68.86/69.23 divide [51, 2] (w:1, o:56, a:1, s:1, b:0),
% 68.86/69.23 x [53, 0] (w:1, o:21, a:1, s:1, b:0),
% 68.86/69.23 y [54, 0] (w:1, o:12, a:1, s:1, b:0),
% 68.86/69.23 z [55, 0] (w:1, o:22, a:1, s:1, b:0),
% 68.86/69.23 zQy [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 68.86/69.23 zQx [57, 0] (w:1, o:23, a:1, s:1, b:0).
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Starting Search:
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 11761
% 68.86/69.23 Kept: 2015
% 68.86/69.23 Inuse: 191
% 68.86/69.23 Deleted: 29
% 68.86/69.23 Deletedinuse: 7
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 27526
% 68.86/69.23 Kept: 4029
% 68.86/69.23 Inuse: 310
% 68.86/69.23 Deleted: 82
% 68.86/69.23 Deletedinuse: 38
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 38775
% 68.86/69.23 Kept: 6045
% 68.86/69.23 Inuse: 400
% 68.86/69.23 Deleted: 118
% 68.86/69.23 Deletedinuse: 51
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 53622
% 68.86/69.23 Kept: 8055
% 68.86/69.23 Inuse: 507
% 68.86/69.23 Deleted: 226
% 68.86/69.23 Deletedinuse: 58
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 70219
% 68.86/69.23 Kept: 10063
% 68.86/69.23 Inuse: 578
% 68.86/69.23 Deleted: 277
% 68.86/69.23 Deletedinuse: 58
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 85376
% 68.86/69.23 Kept: 12798
% 68.86/69.23 Inuse: 607
% 68.86/69.23 Deleted: 288
% 68.86/69.23 Deletedinuse: 69
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23 Resimplifying inuse:
% 68.86/69.23 Done
% 68.86/69.23
% 68.86/69.23
% 68.86/69.23 Intermediate Status:
% 68.86/69.23 Generated: 98927
% 68.86/69.23 Kept: 14812
% 116.63/117.00 Inuse: 668
% 116.63/117.00 Deleted: 300
% 116.63/117.00 Deletedinuse: 69
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 119750
% 116.63/117.00 Kept: 16871
% 116.63/117.00 Inuse: 712
% 116.63/117.00 Deleted: 397
% 116.63/117.00 Deletedinuse: 103
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 125342
% 116.63/117.00 Kept: 18890
% 116.63/117.00 Inuse: 723
% 116.63/117.00 Deleted: 399
% 116.63/117.00 Deletedinuse: 103
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying clauses:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 139456
% 116.63/117.00 Kept: 20891
% 116.63/117.00 Inuse: 772
% 116.63/117.00 Deleted: 4386
% 116.63/117.00 Deletedinuse: 107
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 185899
% 116.63/117.00 Kept: 22914
% 116.63/117.00 Inuse: 903
% 116.63/117.00 Deleted: 4387
% 116.63/117.00 Deletedinuse: 108
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 221741
% 116.63/117.00 Kept: 24915
% 116.63/117.00 Inuse: 974
% 116.63/117.00 Deleted: 4387
% 116.63/117.00 Deletedinuse: 108
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 240255
% 116.63/117.00 Kept: 26924
% 116.63/117.00 Inuse: 1002
% 116.63/117.00 Deleted: 4387
% 116.63/117.00 Deletedinuse: 108
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 254482
% 116.63/117.00 Kept: 28982
% 116.63/117.00 Inuse: 1041
% 116.63/117.00 Deleted: 4392
% 116.63/117.00 Deletedinuse: 113
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 286682
% 116.63/117.00 Kept: 30990
% 116.63/117.00 Inuse: 1141
% 116.63/117.00 Deleted: 4393
% 116.63/117.00 Deletedinuse: 114
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 315997
% 116.63/117.00 Kept: 32993
% 116.63/117.00 Inuse: 1226
% 116.63/117.00 Deleted: 4396
% 116.63/117.00 Deletedinuse: 114
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 344400
% 116.63/117.00 Kept: 35010
% 116.63/117.00 Inuse: 1313
% 116.63/117.00 Deleted: 4401
% 116.63/117.00 Deletedinuse: 118
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 383588
% 116.63/117.00 Kept: 37012
% 116.63/117.00 Inuse: 1410
% 116.63/117.00 Deleted: 4403
% 116.63/117.00 Deletedinuse: 118
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 427288
% 116.63/117.00 Kept: 39038
% 116.63/117.00 Inuse: 1498
% 116.63/117.00 Deleted: 4406
% 116.63/117.00 Deletedinuse: 118
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying clauses:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 451073
% 116.63/117.00 Kept: 41043
% 116.63/117.00 Inuse: 1559
% 116.63/117.00 Deleted: 8342
% 116.63/117.00 Deletedinuse: 119
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 511183
% 116.63/117.00 Kept: 43052
% 116.63/117.00 Inuse: 1616
% 116.63/117.00 Deleted: 8347
% 116.63/117.00 Deletedinuse: 123
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 551434
% 116.63/117.00 Kept: 45056
% 116.63/117.00 Inuse: 1693
% 116.63/117.00 Deleted: 8349
% 116.63/117.00 Deletedinuse: 123
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 591866
% 116.63/117.00 Kept: 47059
% 116.63/117.00 Inuse: 1750
% 116.63/117.00 Deleted: 8353
% 116.63/117.00 Deletedinuse: 127
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 613334
% 116.63/117.00 Kept: 49104
% 116.63/117.00 Inuse: 1786
% 116.63/117.00 Deleted: 8357
% 116.63/117.00 Deletedinuse: 131
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 644861
% 116.63/117.00 Kept: 51114
% 116.63/117.00 Inuse: 1825
% 116.63/117.00 Deleted: 8357
% 116.63/117.00 Deletedinuse: 131
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 680584
% 116.63/117.00 Kept: 53123
% 116.63/117.00 Inuse: 1885
% 116.63/117.00 Deleted: 8360
% 116.63/117.00 Deletedinuse: 133
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 713296
% 116.63/117.00 Kept: 55180
% 116.63/117.00 Inuse: 1929
% 116.63/117.00 Deleted: 8360
% 116.63/117.00 Deletedinuse: 133
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 749376
% 116.63/117.00 Kept: 57181
% 116.63/117.00 Inuse: 1954
% 116.63/117.00 Deleted: 8360
% 116.63/117.00 Deletedinuse: 133
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 799089
% 116.63/117.00 Kept: 59208
% 116.63/117.00 Inuse: 1990
% 116.63/117.00 Deleted: 8362
% 116.63/117.00 Deletedinuse: 135
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying clauses:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 830368
% 116.63/117.00 Kept: 61245
% 116.63/117.00 Inuse: 2022
% 116.63/117.00 Deleted: 10554
% 116.63/117.00 Deletedinuse: 136
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 880196
% 116.63/117.00 Kept: 63254
% 116.63/117.00 Inuse: 2071
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 912811
% 116.63/117.00 Kept: 65284
% 116.63/117.00 Inuse: 2113
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 952083
% 116.63/117.00 Kept: 67839
% 116.63/117.00 Inuse: 2158
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 989349
% 116.63/117.00 Kept: 69849
% 116.63/117.00 Inuse: 2199
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1026033
% 116.63/117.00 Kept: 71857
% 116.63/117.00 Inuse: 2250
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1056488
% 116.63/117.00 Kept: 73864
% 116.63/117.00 Inuse: 2289
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1097243
% 116.63/117.00 Kept: 75905
% 116.63/117.00 Inuse: 2342
% 116.63/117.00 Deleted: 10555
% 116.63/117.00 Deletedinuse: 137
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1128239
% 116.63/117.00 Kept: 77926
% 116.63/117.00 Inuse: 2387
% 116.63/117.00 Deleted: 10556
% 116.63/117.00 Deletedinuse: 138
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1160257
% 116.63/117.00 Kept: 79960
% 116.63/117.00 Inuse: 2438
% 116.63/117.00 Deleted: 10556
% 116.63/117.00 Deletedinuse: 138
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying clauses:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1185801
% 116.63/117.00 Kept: 81983
% 116.63/117.00 Inuse: 2480
% 116.63/117.00 Deleted: 14326
% 116.63/117.00 Deletedinuse: 142
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Intermediate Status:
% 116.63/117.00 Generated: 1221824
% 116.63/117.00 Kept: 84463
% 116.63/117.00 Inuse: 2514
% 116.63/117.00 Deleted: 14326
% 116.63/117.00 Deletedinuse: 142
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00 Resimplifying inuse:
% 116.63/117.00 Done
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 Bliksems!, er is een bewijs:
% 116.63/117.00 % SZS status Unsatisfiable
% 116.63/117.00 % SZS output start Refutation
% 116.63/117.00
% 116.63/117.00 clause( 0, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 116.63/117.00 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 116.63/117.00 ), 'less_equal'( V0, V1 ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 12, [ quotient( X, zero, X ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 116.63/117.00 'less_equal'( X, Z ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 14, [ 'less_equal'( x, y ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 15, [ quotient( z, y, zQy ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 16, [ quotient( z, x, zQx ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 17, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 40, [ quotient( x, y, zero ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 51, [ ~( quotient( z, X, Y ) ), ~( quotient( X, y, Z ) ), ~(
% 116.63/117.00 quotient( zQy, Z, T ) ), ~( quotient( Y, y, U ) ), 'less_equal'( T, U ) ]
% 116.63/117.00 )
% 116.63/117.00 .
% 116.63/117.00 clause( 182, [ 'less_equal'( divide( X, Y ), X ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 351, [ ~( 'less_equal'( zQy, X ) ), ~( 'less_equal'( X, zQx ) ) ]
% 116.63/117.00 )
% 116.63/117.00 .
% 116.63/117.00 clause( 634, [ ~( 'less_equal'( zQy, divide( zQx, X ) ) ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 1505, [ ~( quotient( x, y, X ) ), ~( quotient( zQy, X, Y ) ), ~(
% 116.63/117.00 quotient( zQx, y, Z ) ), 'less_equal'( Y, Z ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 86185, [ ~( quotient( zQx, y, X ) ), 'less_equal'( zQy, X ) ] )
% 116.63/117.00 .
% 116.63/117.00 clause( 86240, [] )
% 116.63/117.00 .
% 116.63/117.00
% 116.63/117.00
% 116.63/117.00 % SZS output end Refutation
% 116.63/117.00 found a proof!
% 116.63/117.00
% 116.63/117.00 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 116.63/117.00
% 116.63/117.00 initialclauses(
% 116.63/117.00 [ clause( 86242, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 116.63/117.00 , clause( 86243, [ ~( quotient( X, Y, zero ) ), 'less_equal'( X, Y ) ] )
% 116.63/117.00 , clause( 86244, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 116.63/117.00 , clause( 86245, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 116.63/117.00 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 116.63/117.00 ), 'less_equal'( V0, V1 ) ] )
% 116.63/117.00 , clause( 86246, [ 'less_equal'( zero, X ) ] )
% 116.63/117.00 , clause( 86247, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ),
% 116.63/117.00 =( X, Y ) ] )
% 116.63/117.00 , clause( 86248, [ 'less_equal'( X, identity ) ] )
% 116.63/117.00 , clause( 86249, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.01 , clause( 86250, [ ~( quotient( X, Y, Z ) ), ~( quotient( X, Y, T ) ), =( Z
% 116.63/117.01 , T ) ] )
% 116.63/117.01 , clause( 86251, [ quotient( X, identity, zero ) ] )
% 116.63/117.01 , clause( 86252, [ quotient( zero, X, zero ) ] )
% 116.63/117.01 , clause( 86253, [ quotient( X, X, zero ) ] )
% 116.63/117.01 , clause( 86254, [ quotient( X, zero, X ) ] )
% 116.63/117.01 , clause( 86255, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 116.63/117.01 'less_equal'( X, Z ) ] )
% 116.63/117.01 , clause( 86256, [ 'less_equal'( x, y ) ] )
% 116.63/117.01 , clause( 86257, [ quotient( z, y, zQy ) ] )
% 116.63/117.01 , clause( 86258, [ quotient( z, x, zQx ) ] )
% 116.63/117.01 , clause( 86259, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 116.63/117.01 ] ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 0, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 116.63/117.01 , clause( 86242, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 116.63/117.01 ), ==>( 1, 1 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 116.63/117.01 , clause( 86244, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 116.63/117.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 116.63/117.01 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 116.63/117.01 ), 'less_equal'( V0, V1 ) ] )
% 116.63/117.01 , clause( 86245, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 116.63/117.01 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 116.63/117.01 ), 'less_equal'( V0, V1 ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 116.63/117.01 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 116.63/117.01 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 ), ==>( 5, 5 )] )
% 116.63/117.01 ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.01 , clause( 86249, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 116.63/117.01 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 12, [ quotient( X, zero, X ) ] )
% 116.63/117.01 , clause( 86254, [ quotient( X, zero, X ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 116.63/117.01 'less_equal'( X, Z ) ] )
% 116.63/117.01 , clause( 86255, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 116.63/117.01 'less_equal'( X, Z ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 116.63/117.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 14, [ 'less_equal'( x, y ) ] )
% 116.63/117.01 , clause( 86256, [ 'less_equal'( x, y ) ] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 15, [ quotient( z, y, zQy ) ] )
% 116.63/117.01 , clause( 86257, [ quotient( z, y, zQy ) ] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 16, [ quotient( z, x, zQx ) ] )
% 116.63/117.01 , clause( 86258, [ quotient( z, x, zQx ) ] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 17, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 116.63/117.01 , clause( 86259, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86566, [ quotient( x, y, zero ) ] )
% 116.63/117.01 , clause( 0, [ ~( 'less_equal'( X, Y ) ), quotient( X, Y, zero ) ] )
% 116.63/117.01 , 0, clause( 14, [ 'less_equal'( x, y ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, x ), :=( Y, y )] ), substitution( 1, [] )
% 116.63/117.01 ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 40, [ quotient( x, y, zero ) ] )
% 116.63/117.01 , clause( 86566, [ quotient( x, y, zero ) ] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86569, [ ~( quotient( z, X, Y ) ), ~( quotient( X, y, Z ) ), ~(
% 116.63/117.01 quotient( zQy, Z, T ) ), ~( quotient( Y, y, U ) ), 'less_equal'( T, U ) ]
% 116.63/117.01 )
% 116.63/117.01 , clause( 3, [ ~( quotient( X, Y, Z ) ), ~( quotient( Y, T, U ) ), ~(
% 116.63/117.01 quotient( X, T, W ) ), ~( quotient( W, U, V0 ) ), ~( quotient( Z, T, V1 )
% 116.63/117.01 ), 'less_equal'( V0, V1 ) ] )
% 116.63/117.01 , 2, clause( 15, [ quotient( z, y, zQy ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, z ), :=( Y, X ), :=( Z, Y ), :=( T, y ),
% 116.63/117.01 :=( U, Z ), :=( W, zQy ), :=( V0, T ), :=( V1, U )] ), substitution( 1, [] )
% 116.63/117.01 ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 51, [ ~( quotient( z, X, Y ) ), ~( quotient( X, y, Z ) ), ~(
% 116.63/117.01 quotient( zQy, Z, T ) ), ~( quotient( Y, y, U ) ), 'less_equal'( T, U ) ]
% 116.63/117.01 )
% 116.63/117.01 , clause( 86569, [ ~( quotient( z, X, Y ) ), ~( quotient( X, y, Z ) ), ~(
% 116.63/117.01 quotient( zQy, Z, T ) ), ~( quotient( Y, y, U ) ), 'less_equal'( T, U ) ]
% 116.63/117.01 )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 116.63/117.01 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 116.63/117.01 , 3 ), ==>( 4, 4 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86600, [ 'less_equal'( divide( X, Y ), X ) ] )
% 116.63/117.01 , clause( 2, [ ~( quotient( X, Y, Z ) ), 'less_equal'( Z, X ) ] )
% 116.63/117.01 , 0, clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 116.63/117.01 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 182, [ 'less_equal'( divide( X, Y ), X ) ] )
% 116.63/117.01 , clause( 86600, [ 'less_equal'( divide( X, Y ), X ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 116.63/117.01 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86601, [ ~( 'less_equal'( zQy, X ) ), ~( 'less_equal'( X, zQx ) ) ]
% 116.63/117.01 )
% 116.63/117.01 , clause( 17, [ ~( 'less_equal'( zQy, zQx ) ) ] )
% 116.63/117.01 , 0, clause( 13, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 116.63/117.01 'less_equal'( X, Z ) ] )
% 116.63/117.01 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, zQy ), :=( Y, X ),
% 116.63/117.01 :=( Z, zQx )] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 351, [ ~( 'less_equal'( zQy, X ) ), ~( 'less_equal'( X, zQx ) ) ]
% 116.63/117.01 )
% 116.63/117.01 , clause( 86601, [ ~( 'less_equal'( zQy, X ) ), ~( 'less_equal'( X, zQx ) )
% 116.63/117.01 ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 116.63/117.01 1 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86602, [ ~( 'less_equal'( zQy, divide( zQx, X ) ) ) ] )
% 116.63/117.01 , clause( 351, [ ~( 'less_equal'( zQy, X ) ), ~( 'less_equal'( X, zQx ) ) ]
% 116.63/117.01 )
% 116.63/117.01 , 1, clause( 182, [ 'less_equal'( divide( X, Y ), X ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, divide( zQx, X ) )] ), substitution( 1, [
% 116.63/117.01 :=( X, zQx ), :=( Y, X )] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 634, [ ~( 'less_equal'( zQy, divide( zQx, X ) ) ) ] )
% 116.63/117.01 , clause( 86602, [ ~( 'less_equal'( zQy, divide( zQx, X ) ) ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86603, [ ~( quotient( x, y, X ) ), ~( quotient( zQy, X, Y ) ), ~(
% 116.63/117.01 quotient( zQx, y, Z ) ), 'less_equal'( Y, Z ) ] )
% 116.63/117.01 , clause( 51, [ ~( quotient( z, X, Y ) ), ~( quotient( X, y, Z ) ), ~(
% 116.63/117.01 quotient( zQy, Z, T ) ), ~( quotient( Y, y, U ) ), 'less_equal'( T, U ) ]
% 116.63/117.01 )
% 116.63/117.01 , 0, clause( 16, [ quotient( z, x, zQx ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, x ), :=( Y, zQx ), :=( Z, X ), :=( T, Y ),
% 116.63/117.01 :=( U, Z )] ), substitution( 1, [] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 1505, [ ~( quotient( x, y, X ) ), ~( quotient( zQy, X, Y ) ), ~(
% 116.63/117.01 quotient( zQx, y, Z ) ), 'less_equal'( Y, Z ) ] )
% 116.63/117.01 , clause( 86603, [ ~( quotient( x, y, X ) ), ~( quotient( zQy, X, Y ) ),
% 116.63/117.01 ~( quotient( zQx, y, Z ) ), 'less_equal'( Y, Z ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 116.63/117.01 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 116.63/117.01 ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86604, [ ~( quotient( x, y, zero ) ), ~( quotient( zQx, y, X ) ),
% 116.63/117.01 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , clause( 1505, [ ~( quotient( x, y, X ) ), ~( quotient( zQy, X, Y ) ), ~(
% 116.63/117.01 quotient( zQx, y, Z ) ), 'less_equal'( Y, Z ) ] )
% 116.63/117.01 , 1, clause( 12, [ quotient( X, zero, X ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, zero ), :=( Y, zQy ), :=( Z, X )] ),
% 116.63/117.01 substitution( 1, [ :=( X, zQy )] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86605, [ ~( quotient( zQx, y, X ) ), 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , clause( 86604, [ ~( quotient( x, y, zero ) ), ~( quotient( zQx, y, X ) )
% 116.63/117.01 , 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , 0, clause( 40, [ quotient( x, y, zero ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 86185, [ ~( quotient( zQx, y, X ) ), 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , clause( 86605, [ ~( quotient( zQx, y, X ) ), 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 116.63/117.01 1 )] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86606, [ 'less_equal'( zQy, divide( zQx, y ) ) ] )
% 116.63/117.01 , clause( 86185, [ ~( quotient( zQx, y, X ) ), 'less_equal'( zQy, X ) ] )
% 116.63/117.01 , 0, clause( 7, [ quotient( X, Y, divide( X, Y ) ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, divide( zQx, y ) )] ), substitution( 1, [
% 116.63/117.01 :=( X, zQx ), :=( Y, y )] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 resolution(
% 116.63/117.01 clause( 86607, [] )
% 116.63/117.01 , clause( 634, [ ~( 'less_equal'( zQy, divide( zQx, X ) ) ) ] )
% 116.63/117.01 , 0, clause( 86606, [ 'less_equal'( zQy, divide( zQx, y ) ) ] )
% 116.63/117.01 , 0, substitution( 0, [ :=( X, y )] ), substitution( 1, [] )).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 subsumption(
% 116.63/117.01 clause( 86240, [] )
% 116.63/117.01 , clause( 86607, [] )
% 116.63/117.01 , substitution( 0, [] ), permutation( 0, [] ) ).
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 end.
% 116.63/117.01
% 116.63/117.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 116.63/117.01
% 116.63/117.01 Memory use:
% 116.63/117.01
% 116.63/117.01 space for terms: 1339694
% 116.63/117.01 space for clauses: 3182487
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 clauses generated: 1245889
% 116.63/117.01 clauses kept: 86241
% 116.63/117.01 clauses selected: 2545
% 116.63/117.01 clauses deleted: 14326
% 116.63/117.01 clauses inuse deleted: 142
% 116.63/117.01
% 116.63/117.01 subsentry: 58064965
% 116.63/117.01 literals s-matched: 28387784
% 116.63/117.01 literals matched: 17628534
% 116.63/117.01 full subsumption: 11466789
% 116.63/117.01
% 116.63/117.01 checksum: 1634222764
% 116.63/117.01
% 116.63/117.01
% 116.63/117.01 Bliksem ended
%------------------------------------------------------------------------------