TSTP Solution File: LCL235-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL235-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Sun Jul 17 07:52:04 EDT 2022
% Result : Unsatisfiable 29.86s 30.28s
% Output : Refutation 29.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL235-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 4 18:29:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 8.61/9.05 *** allocated 10000 integers for termspace/termends
% 8.61/9.05 *** allocated 10000 integers for clauses
% 8.61/9.05 *** allocated 10000 integers for justifications
% 8.61/9.05 Bliksem 1.12
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Automatic Strategy Selection
% 8.61/9.05
% 8.61/9.05 Clauses:
% 8.61/9.05 [
% 8.61/9.05 [ axiom( implies( or( X, X ), X ) ) ],
% 8.61/9.05 [ axiom( implies( X, or( Y, X ) ) ) ],
% 8.61/9.05 [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ],
% 8.61/9.05 [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ],
% 8.61/9.05 [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y ) ) ) )
% 8.61/9.05 ],
% 8.61/9.05 [ =( implies( X, Y ), or( not( X ), Y ) ) ],
% 8.61/9.05 [ theorem( X ), ~( axiom( X ) ) ],
% 8.61/9.05 [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y ) ) ]
% 8.61/9.05 ,
% 8.61/9.05 [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ],
% 8.61/9.05 [ ~( theorem( implies( not( and( p, q ) ), or( not( p ), not( q ) ) ) )
% 8.61/9.05 ) ]
% 8.61/9.05 ] .
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 percentage equality = 0.153846, percentage horn = 1.000000
% 8.61/9.05 This is a problem with some equality
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Options Used:
% 8.61/9.05
% 8.61/9.05 useres = 1
% 8.61/9.05 useparamod = 1
% 8.61/9.05 useeqrefl = 1
% 8.61/9.05 useeqfact = 1
% 8.61/9.05 usefactor = 1
% 8.61/9.05 usesimpsplitting = 0
% 8.61/9.05 usesimpdemod = 5
% 8.61/9.05 usesimpres = 3
% 8.61/9.05
% 8.61/9.05 resimpinuse = 1000
% 8.61/9.05 resimpclauses = 20000
% 8.61/9.05 substype = eqrewr
% 8.61/9.05 backwardsubs = 1
% 8.61/9.05 selectoldest = 5
% 8.61/9.05
% 8.61/9.05 litorderings [0] = split
% 8.61/9.05 litorderings [1] = extend the termordering, first sorting on arguments
% 8.61/9.05
% 8.61/9.05 termordering = kbo
% 8.61/9.05
% 8.61/9.05 litapriori = 0
% 8.61/9.05 termapriori = 1
% 8.61/9.05 litaposteriori = 0
% 8.61/9.05 termaposteriori = 0
% 8.61/9.05 demodaposteriori = 0
% 8.61/9.05 ordereqreflfact = 0
% 8.61/9.05
% 8.61/9.05 litselect = negord
% 8.61/9.05
% 8.61/9.05 maxweight = 15
% 8.61/9.05 maxdepth = 30000
% 8.61/9.05 maxlength = 115
% 8.61/9.05 maxnrvars = 195
% 8.61/9.05 excuselevel = 1
% 8.61/9.05 increasemaxweight = 1
% 8.61/9.05
% 8.61/9.05 maxselected = 10000000
% 8.61/9.05 maxnrclauses = 10000000
% 8.61/9.05
% 8.61/9.05 showgenerated = 0
% 8.61/9.05 showkept = 0
% 8.61/9.05 showselected = 0
% 8.61/9.05 showdeleted = 0
% 8.61/9.05 showresimp = 1
% 8.61/9.05 showstatus = 2000
% 8.61/9.05
% 8.61/9.05 prologoutput = 1
% 8.61/9.05 nrgoals = 5000000
% 8.61/9.05 totalproof = 1
% 8.61/9.05
% 8.61/9.05 Symbols occurring in the translation:
% 8.61/9.05
% 8.61/9.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.61/9.05 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 8.61/9.05 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 8.61/9.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.61/9.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.61/9.05 or [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 8.61/9.05 implies [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 8.61/9.05 axiom [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 8.61/9.05 not [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 8.61/9.05 theorem [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 8.61/9.05 and [51, 2] (w:1, o:53, a:1, s:1, b:0),
% 8.61/9.05 p [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 8.61/9.05 q [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Starting Search:
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 3656
% 8.61/9.05 Kept: 2012
% 8.61/9.05 Inuse: 116
% 8.61/9.05 Deleted: 5
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 7814
% 8.61/9.05 Kept: 4021
% 8.61/9.05 Inuse: 175
% 8.61/9.05 Deleted: 6
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 12788
% 8.61/9.05 Kept: 6070
% 8.61/9.05 Inuse: 223
% 8.61/9.05 Deleted: 11
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 16886
% 8.61/9.05 Kept: 8101
% 8.61/9.05 Inuse: 258
% 8.61/9.05 Deleted: 11
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 22270
% 8.61/9.05 Kept: 10126
% 8.61/9.05 Inuse: 306
% 8.61/9.05 Deleted: 11
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 27562
% 8.61/9.05 Kept: 12137
% 8.61/9.05 Inuse: 347
% 8.61/9.05 Deleted: 11
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 33435
% 8.61/9.05 Kept: 14175
% 8.61/9.05 Inuse: 383
% 8.61/9.05 Deleted: 21
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 36899
% 8.61/9.05 Kept: 16182
% 8.61/9.05 Inuse: 395
% 8.61/9.05 Deleted: 23
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05
% 8.61/9.05 Intermediate Status:
% 8.61/9.05 Generated: 41987
% 8.61/9.05 Kept: 18227
% 8.61/9.05 Inuse: 418
% 8.61/9.05 Deleted: 25
% 8.61/9.05 Deletedinuse: 3
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying inuse:
% 8.61/9.05 Done
% 8.61/9.05
% 8.61/9.05 Resimplifying clauses:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 45830
% 27.99/28.39 Kept: 20323
% 27.99/28.39 Inuse: 452
% 27.99/28.39 Deleted: 129
% 27.99/28.39 Deletedinuse: 3
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 48667
% 27.99/28.39 Kept: 22337
% 27.99/28.39 Inuse: 467
% 27.99/28.39 Deleted: 129
% 27.99/28.39 Deletedinuse: 3
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 52801
% 27.99/28.39 Kept: 24368
% 27.99/28.39 Inuse: 494
% 27.99/28.39 Deleted: 129
% 27.99/28.39 Deletedinuse: 3
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 56434
% 27.99/28.39 Kept: 26402
% 27.99/28.39 Inuse: 520
% 27.99/28.39 Deleted: 129
% 27.99/28.39 Deletedinuse: 3
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 60218
% 27.99/28.39 Kept: 28482
% 27.99/28.39 Inuse: 543
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 65559
% 27.99/28.39 Kept: 30538
% 27.99/28.39 Inuse: 565
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 69260
% 27.99/28.39 Kept: 32648
% 27.99/28.39 Inuse: 592
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 72858
% 27.99/28.39 Kept: 34789
% 27.99/28.39 Inuse: 608
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 77707
% 27.99/28.39 Kept: 36827
% 27.99/28.39 Inuse: 635
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 86964
% 27.99/28.39 Kept: 38847
% 27.99/28.39 Inuse: 671
% 27.99/28.39 Deleted: 131
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying clauses:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 97231
% 27.99/28.39 Kept: 41172
% 27.99/28.39 Inuse: 701
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 107057
% 27.99/28.39 Kept: 43195
% 27.99/28.39 Inuse: 733
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 114189
% 27.99/28.39 Kept: 45200
% 27.99/28.39 Inuse: 750
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 123623
% 27.99/28.39 Kept: 47265
% 27.99/28.39 Inuse: 777
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 132897
% 27.99/28.39 Kept: 49302
% 27.99/28.39 Inuse: 800
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 137322
% 27.99/28.39 Kept: 51319
% 27.99/28.39 Inuse: 808
% 27.99/28.39 Deleted: 203
% 27.99/28.39 Deletedinuse: 5
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 143212
% 27.99/28.39 Kept: 53510
% 27.99/28.39 Inuse: 817
% 27.99/28.39 Deleted: 204
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 150256
% 27.99/28.39 Kept: 55526
% 27.99/28.39 Inuse: 837
% 27.99/28.39 Deleted: 205
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 160051
% 27.99/28.39 Kept: 57614
% 27.99/28.39 Inuse: 862
% 27.99/28.39 Deleted: 206
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 170095
% 27.99/28.39 Kept: 59699
% 27.99/28.39 Inuse: 891
% 27.99/28.39 Deleted: 206
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying clauses:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 178076
% 27.99/28.39 Kept: 61735
% 27.99/28.39 Inuse: 918
% 27.99/28.39 Deleted: 442
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 185002
% 27.99/28.39 Kept: 63982
% 27.99/28.39 Inuse: 947
% 27.99/28.39 Deleted: 442
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 189185
% 27.99/28.39 Kept: 66594
% 27.99/28.39 Inuse: 961
% 27.99/28.39 Deleted: 442
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 27.99/28.39 Generated: 194328
% 27.99/28.39 Kept: 68984
% 27.99/28.39 Inuse: 973
% 27.99/28.39 Deleted: 442
% 27.99/28.39 Deletedinuse: 6
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39 Resimplifying inuse:
% 27.99/28.39 Done
% 27.99/28.39
% 27.99/28.39
% 27.99/28.39 Intermediate Status:
% 29.86/30.28 Generated: 199502
% 29.86/30.28 Kept: 71152
% 29.86/30.28 Inuse: 983
% 29.86/30.28 Deleted: 442
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 205584
% 29.86/30.28 Kept: 73491
% 29.86/30.28 Inuse: 998
% 29.86/30.28 Deleted: 442
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 221868
% 29.86/30.28 Kept: 75586
% 29.86/30.28 Inuse: 1041
% 29.86/30.28 Deleted: 442
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 243454
% 29.86/30.28 Kept: 77706
% 29.86/30.28 Inuse: 1098
% 29.86/30.28 Deleted: 442
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 250262
% 29.86/30.28 Kept: 79841
% 29.86/30.28 Inuse: 1108
% 29.86/30.28 Deleted: 442
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying clauses:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 256754
% 29.86/30.28 Kept: 81841
% 29.86/30.28 Inuse: 1120
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 264115
% 29.86/30.28 Kept: 83996
% 29.86/30.28 Inuse: 1139
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 269621
% 29.86/30.28 Kept: 86175
% 29.86/30.28 Inuse: 1148
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 274450
% 29.86/30.28 Kept: 88348
% 29.86/30.28 Inuse: 1165
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 279885
% 29.86/30.28 Kept: 90524
% 29.86/30.28 Inuse: 1180
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 286248
% 29.86/30.28 Kept: 92611
% 29.86/30.28 Inuse: 1198
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 293003
% 29.86/30.28 Kept: 94650
% 29.86/30.28 Inuse: 1212
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 299443
% 29.86/30.28 Kept: 96749
% 29.86/30.28 Inuse: 1233
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 304791
% 29.86/30.28 Kept: 98945
% 29.86/30.28 Inuse: 1250
% 29.86/30.28 Deleted: 463
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying clauses:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 311034
% 29.86/30.28 Kept: 101054
% 29.86/30.28 Inuse: 1266
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 316844
% 29.86/30.28 Kept: 103329
% 29.86/30.28 Inuse: 1281
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 323397
% 29.86/30.28 Kept: 105597
% 29.86/30.28 Inuse: 1288
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 327116
% 29.86/30.28 Kept: 108044
% 29.86/30.28 Inuse: 1291
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 339090
% 29.86/30.28 Kept: 110093
% 29.86/30.28 Inuse: 1313
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 346242
% 29.86/30.28 Kept: 112176
% 29.86/30.28 Inuse: 1328
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 354879
% 29.86/30.28 Kept: 114359
% 29.86/30.28 Inuse: 1345
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 361562
% 29.86/30.28 Kept: 117110
% 29.86/30.28 Inuse: 1356
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 366106
% 29.86/30.28 Kept: 119682
% 29.86/30.28 Inuse: 1360
% 29.86/30.28 Deleted: 621
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying clauses:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 372791
% 29.86/30.28 Kept: 122122
% 29.86/30.28 Inuse: 1371
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 377789
% 29.86/30.28 Kept: 124231
% 29.86/30.28 Inuse: 1375
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 382196
% 29.86/30.28 Kept: 126241
% 29.86/30.28 Inuse: 1386
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 388271
% 29.86/30.28 Kept: 128506
% 29.86/30.28 Inuse: 1406
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 393693
% 29.86/30.28 Kept: 130843
% 29.86/30.28 Inuse: 1416
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 397053
% 29.86/30.28 Kept: 132897
% 29.86/30.28 Inuse: 1426
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28 Done
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Intermediate Status:
% 29.86/30.28 Generated: 404006
% 29.86/30.28 Kept: 134946
% 29.86/30.28 Inuse: 1451
% 29.86/30.28 Deleted: 659
% 29.86/30.28 Deletedinuse: 6
% 29.86/30.28
% 29.86/30.28 Resimplifying inuse:
% 29.86/30.28
% 29.86/30.28 Bliksems!, er is een bewijs:
% 29.86/30.28 % SZS status Unsatisfiable
% 29.86/30.28 % SZS output start Refutation
% 29.86/30.28
% 29.86/30.28 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 29.86/30.28 )
% 29.86/30.28 .
% 29.86/30.28 clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 29.86/30.28 ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 8, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 9, [ ~( theorem( implies( not( and( p, q ) ), implies( p, not( q )
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 15, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 65, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 67, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 71, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 29.86/30.28 implies( Y, Z ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 117, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 118, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 125, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 29.86/30.28 , Z ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 18823, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 18975, [ theorem( implies( X, X ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 18998, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 19145, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 19147, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 122960, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 123344, [ theorem( or( X, not( not( not( X ) ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 134526, [ theorem( implies( not( not( X ) ), X ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 134945, [ theorem( implies( not( and( X, Y ) ), implies( X, not( Y
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 .
% 29.86/30.28 clause( 135304, [] )
% 29.86/30.28 .
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 % SZS output end Refutation
% 29.86/30.28 found a proof!
% 29.86/30.28
% 29.86/30.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 29.86/30.28
% 29.86/30.28 initialclauses(
% 29.86/30.28 [ clause( 135306, [ axiom( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , clause( 135307, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135308, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135309, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z )
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , clause( 135310, [ axiom( implies( implies( X, Y ), implies( or( Z, X ),
% 29.86/30.28 or( Z, Y ) ) ) ) ] )
% 29.86/30.28 , clause( 135311, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 29.86/30.28 , clause( 135312, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , clause( 135313, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 29.86/30.28 theorem( Y ) ) ] )
% 29.86/30.28 , clause( 135314, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ] )
% 29.86/30.28 , clause( 135315, [ ~( theorem( implies( not( and( p, q ) ), or( not( p ),
% 29.86/30.28 not( q ) ) ) ) ) ] )
% 29.86/30.28 ] ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , clause( 135306, [ axiom( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135307, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135308, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) ) ) ) ]
% 29.86/30.28 )
% 29.86/30.28 , clause( 135309, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z )
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.86/30.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or( Z, Y
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 , clause( 135310, [ axiom( implies( implies( X, Y ), implies( or( Z, X ),
% 29.86/30.28 or( Z, Y ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.86/30.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 eqswap(
% 29.86/30.28 clause( 135316, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , clause( 135311, [ =( implies( X, Y ), or( not( X ), Y ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , clause( 135316, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , clause( 135312, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 29.86/30.28 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y )
% 29.86/30.28 ) ] )
% 29.86/30.28 , clause( 135313, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~(
% 29.86/30.28 theorem( Y ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135332, [ =( and( X, Y ), not( implies( X, not( Y ) ) ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 135314, [ =( and( X, Y ), not( or( not( X ), not( Y ) ) ) ) ]
% 29.86/30.28 )
% 29.86/30.28 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) )] ), substitution(
% 29.86/30.28 1, [ :=( X, X ), :=( Y, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 eqswap(
% 29.86/30.28 clause( 135333, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 29.86/30.28 , clause( 135332, [ =( and( X, Y ), not( implies( X, not( Y ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 8, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 29.86/30.28 , clause( 135333, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135352, [ ~( theorem( implies( not( and( p, q ) ), implies( p, not(
% 29.86/30.28 q ) ) ) ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 135315, [ ~( theorem( implies( not( and( p, q ) ), or( not( p
% 29.86/30.28 ), not( q ) ) ) ) ) ] )
% 29.86/30.28 , 0, 7, substitution( 0, [ :=( X, p ), :=( Y, not( q ) )] ), substitution(
% 29.86/30.28 1, [] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 9, [ ~( theorem( implies( not( and( p, q ) ), implies( p, not( q )
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 , clause( 135352, [ ~( theorem( implies( not( and( p, q ) ), implies( p,
% 29.86/30.28 not( q ) ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135353, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , 1, clause( 1, [ axiom( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, implies( X, or( Y, X ) ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135353, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135354, [ theorem( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , 1, clause( 0, [ axiom( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, implies( or( X, X ), X ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , clause( 135354, [ theorem( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135355, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 29.86/30.28 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 1, clause( 11, [ theorem( implies( or( X, X ), X ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( X, X ) )] ), substitution( 1
% 29.86/30.28 , [ :=( X, X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 15, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 29.86/30.28 , clause( 135355, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 29.86/30.28 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135357, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 1, clause( 6, [ theorem( X ), ~( axiom( X ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 29.86/30.28 , implies( Y, X ) )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 , clause( 135357, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y,
% 29.86/30.28 X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135359, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 2, clause( 2, [ axiom( implies( or( X, Y ), or( Y, X ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, or( Y, X ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 65, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 , clause( 135359, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135360, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) )
% 29.86/30.28 , X ) ) ) ] )
% 29.86/30.28 , clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 1, clause( 10, [ theorem( implies( X, or( Y, X ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, or( Z, Y ) ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 67, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ), X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , clause( 135360, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y )
% 29.86/30.28 ), X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.86/30.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135361, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 29.86/30.28 implies( Y, Z ) ) ) ] )
% 29.86/30.28 , clause( 19, [ theorem( X ), ~( theorem( Y ) ), ~( axiom( implies( Y, X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 2, clause( 4, [ axiom( implies( implies( X, Y ), implies( or( Z, X ), or(
% 29.86/30.28 Z, Y ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, implies( or( X, Y ), or( X, Z ) ) ), :=( Y,
% 29.86/30.28 implies( Y, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X
% 29.86/30.28 )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 71, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 29.86/30.28 implies( Y, Z ) ) ) ] )
% 29.86/30.28 , clause( 135361, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~(
% 29.86/30.28 theorem( implies( Y, Z ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.86/30.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135363, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 65, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 29.86/30.28 :=( X, not( X ) ), :=( Y, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 117, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 , clause( 135363, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X )
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135367, [ ~( theorem( implies( X, Y ) ) ), theorem( or( Y, not( X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 65, [ theorem( or( X, Y ) ), ~( theorem( or( Y, X ) ) ) ] )
% 29.86/30.28 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 29.86/30.28 :=( X, Y ), :=( Y, not( X ) )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 118, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y ) )
% 29.86/30.28 ) ] )
% 29.86/30.28 , clause( 135367, [ ~( theorem( implies( X, Y ) ) ), theorem( or( Y, not( X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 29.86/30.28 ), ==>( 1, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135373, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 29.86/30.28 implies( X, Z ) ) ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 3, [ axiom( implies( or( X, or( Y, Z ) ), or( Y, or( X, Z ) )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 29.86/30.28 :=( X, not( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135376, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies(
% 29.86/30.28 X, Z ) ) ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 135373, [ axiom( implies( or( not( X ), or( Y, Z ) ), or( Y,
% 29.86/30.28 implies( X, Z ) ) ) ) ] )
% 29.86/30.28 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, or( Y, Z ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 125, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y, implies( X
% 29.86/30.28 , Z ) ) ) ) ] )
% 29.86/30.28 , clause( 135376, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 29.86/30.28 implies( X, Z ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.86/30.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135377, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 29.86/30.28 , clause( 67, [ theorem( X ), ~( axiom( implies( implies( Y, or( Z, Y ) ),
% 29.86/30.28 X ) ) ) ] )
% 29.86/30.28 , 1, clause( 125, [ axiom( implies( implies( X, or( Y, Z ) ), or( Y,
% 29.86/30.28 implies( X, Z ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, or( X, implies( Y, Y ) ) ), :=( Y, Y ), :=(
% 29.86/30.28 Z, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 18823, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 29.86/30.28 , clause( 135377, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135378, [ theorem( implies( X, X ) ) ] )
% 29.86/30.28 , clause( 15, [ theorem( X ), ~( theorem( or( X, X ) ) ) ] )
% 29.86/30.28 , 1, clause( 18823, [ theorem( or( X, implies( Y, Y ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 29.86/30.28 :=( X, implies( X, X ) ), :=( Y, X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 18975, [ theorem( implies( X, X ) ) ] )
% 29.86/30.28 , clause( 135378, [ theorem( implies( X, X ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135379, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 , clause( 118, [ theorem( or( Y, not( X ) ) ), ~( theorem( implies( X, Y )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 1, clause( 18975, [ theorem( implies( X, X ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 29.86/30.28 , X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 18998, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 , clause( 135379, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135380, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 7, [ theorem( X ), ~( theorem( implies( Y, X ) ) ), ~( theorem( Y
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 2, clause( 18998, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, or( Y, not( Y ) ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 19145, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 135380, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135382, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 29.86/30.28 , clause( 5, [ =( or( not( X ), Y ), implies( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 18998, [ theorem( or( X, not( X ) ) ) ] )
% 29.86/30.28 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, not( not( X ) ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, not( X ) )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 19147, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 29.86/30.28 , clause( 135382, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135383, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 19145, [ theorem( X ), ~( theorem( implies( or( Y, not( Y ) ), X
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , 1, clause( 71, [ theorem( implies( or( X, Y ), or( X, Z ) ) ), ~( theorem(
% 29.86/30.28 implies( Y, Z ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, or( X, Y ) ), :=( Y, X )] ), substitution( 1
% 29.86/30.28 , [ :=( X, X ), :=( Y, not( X ) ), :=( Z, Y )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 122960, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , clause( 135383, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 ), ==>( 1, 1 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135384, [ theorem( or( X, not( not( not( X ) ) ) ) ) ] )
% 29.86/30.28 , clause( 122960, [ theorem( or( X, Y ) ), ~( theorem( implies( not( X ), Y
% 29.86/30.28 ) ) ) ] )
% 29.86/30.28 , 1, clause( 19147, [ theorem( implies( X, not( not( X ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( not( not( X ) ) ) )] ),
% 29.86/30.28 substitution( 1, [ :=( X, not( X ) )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 123344, [ theorem( or( X, not( not( not( X ) ) ) ) ) ] )
% 29.86/30.28 , clause( 135384, [ theorem( or( X, not( not( not( X ) ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135385, [ theorem( implies( not( not( X ) ), X ) ) ] )
% 29.86/30.28 , clause( 117, [ theorem( implies( X, Y ) ), ~( theorem( or( Y, not( X ) )
% 29.86/30.28 ) ) ] )
% 29.86/30.28 , 1, clause( 123344, [ theorem( or( X, not( not( not( X ) ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [ :=( X, not( not( X ) ) ), :=( Y, X )] ),
% 29.86/30.28 substitution( 1, [ :=( X, X )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 134526, [ theorem( implies( not( not( X ) ), X ) ) ] )
% 29.86/30.28 , clause( 135385, [ theorem( implies( not( not( X ) ), X ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 paramod(
% 29.86/30.28 clause( 135387, [ theorem( implies( not( and( X, Y ) ), implies( X, not( Y
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 , clause( 8, [ =( not( implies( X, not( Y ) ) ), and( X, Y ) ) ] )
% 29.86/30.28 , 0, clause( 134526, [ theorem( implies( not( not( X ) ), X ) ) ] )
% 29.86/30.28 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 29.86/30.28 :=( X, implies( X, not( Y ) ) )] )).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 134945, [ theorem( implies( not( and( X, Y ) ), implies( X, not( Y
% 29.86/30.28 ) ) ) ) ] )
% 29.86/30.28 , clause( 135387, [ theorem( implies( not( and( X, Y ) ), implies( X, not(
% 29.86/30.28 Y ) ) ) ) ] )
% 29.86/30.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.86/30.28 )] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 resolution(
% 29.86/30.28 clause( 135388, [] )
% 29.86/30.28 , clause( 9, [ ~( theorem( implies( not( and( p, q ) ), implies( p, not( q
% 29.86/30.28 ) ) ) ) ) ] )
% 29.86/30.28 , 0, clause( 134945, [ theorem( implies( not( and( X, Y ) ), implies( X,
% 29.86/30.28 not( Y ) ) ) ) ] )
% 29.86/30.28 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, p ), :=( Y, q )] )
% 29.86/30.28 ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 subsumption(
% 29.86/30.28 clause( 135304, [] )
% 29.86/30.28 , clause( 135388, [] )
% 29.86/30.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 end.
% 29.86/30.28
% 29.86/30.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 29.86/30.28
% 29.86/30.28 Memory use:
% 29.86/30.28
% 29.86/30.28 space for terms: 2058191
% 29.86/30.28 space for clauses: 6518980
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 clauses generated: 405073
% 29.86/30.28 clauses kept: 135305
% 29.86/30.28 clauses selected: 1456
% 29.86/30.28 clauses deleted: 660
% 29.86/30.28 clauses inuse deleted: 7
% 29.86/30.28
% 29.86/30.28 subsentry: 13773822
% 29.86/30.28 literals s-matched: 4730382
% 29.86/30.28 literals matched: 4374148
% 29.86/30.28 full subsumption: 2045547
% 29.86/30.28
% 29.86/30.28 checksum: 75255338
% 29.86/30.28
% 29.86/30.28
% 29.86/30.28 Bliksem ended
%------------------------------------------------------------------------------