TSTP Solution File: LCL058-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL058-1 : TPTP v8.1.0. Released v1.0.0.
% 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 07:49:43 EDT 2022
% Result : Unsatisfiable 47.82s 48.24s
% Output : Refutation 47.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : LCL058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sun Jul 3 19:33:46 EDT 2022
% 0.15/0.37 % CPUTime :
% 4.17/4.56 *** allocated 10000 integers for termspace/termends
% 4.17/4.56 *** allocated 10000 integers for clauses
% 4.17/4.56 *** allocated 10000 integers for justifications
% 4.17/4.56 Bliksem 1.12
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Automatic Strategy Selection
% 4.17/4.56
% 4.17/4.56 Clauses:
% 4.17/4.56 [
% 4.17/4.56 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 4.17/4.56 'is_a_theorem'( Y ) ],
% 4.17/4.56 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 4.17/4.56 implies( X, Z ) ) ) ) ],
% 4.17/4.56 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 4.17/4.56 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 4.17/4.56 [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( not( b ), not( a
% 4.17/4.56 ) ) ) ) ) ]
% 4.17/4.56 ] .
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 percentage equality = 0.000000, percentage horn = 1.000000
% 4.17/4.56 This is a near-Horn, non-equality problem
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Options Used:
% 4.17/4.56
% 4.17/4.56 useres = 1
% 4.17/4.56 useparamod = 0
% 4.17/4.56 useeqrefl = 0
% 4.17/4.56 useeqfact = 0
% 4.17/4.56 usefactor = 1
% 4.17/4.56 usesimpsplitting = 0
% 4.17/4.56 usesimpdemod = 0
% 4.17/4.56 usesimpres = 4
% 4.17/4.56
% 4.17/4.56 resimpinuse = 1000
% 4.17/4.56 resimpclauses = 20000
% 4.17/4.56 substype = standard
% 4.17/4.56 backwardsubs = 1
% 4.17/4.56 selectoldest = 5
% 4.17/4.56
% 4.17/4.56 litorderings [0] = split
% 4.17/4.56 litorderings [1] = liftord
% 4.17/4.56
% 4.17/4.56 termordering = none
% 4.17/4.56
% 4.17/4.56 litapriori = 1
% 4.17/4.56 termapriori = 0
% 4.17/4.56 litaposteriori = 0
% 4.17/4.56 termaposteriori = 0
% 4.17/4.56 demodaposteriori = 0
% 4.17/4.56 ordereqreflfact = 0
% 4.17/4.56
% 4.17/4.56 litselect = negative
% 4.17/4.56
% 4.17/4.56 maxweight = 30000
% 4.17/4.56 maxdepth = 30000
% 4.17/4.56 maxlength = 115
% 4.17/4.56 maxnrvars = 195
% 4.17/4.56 excuselevel = 0
% 4.17/4.56 increasemaxweight = 0
% 4.17/4.56
% 4.17/4.56 maxselected = 10000000
% 4.17/4.56 maxnrclauses = 10000000
% 4.17/4.56
% 4.17/4.56 showgenerated = 0
% 4.17/4.56 showkept = 0
% 4.17/4.56 showselected = 0
% 4.17/4.56 showdeleted = 0
% 4.17/4.56 showresimp = 1
% 4.17/4.56 showstatus = 2000
% 4.17/4.56
% 4.17/4.56 prologoutput = 1
% 4.17/4.56 nrgoals = 5000000
% 4.17/4.56 totalproof = 1
% 4.17/4.56
% 4.17/4.56 Symbols occurring in the translation:
% 4.17/4.56
% 4.17/4.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.17/4.56 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 4.17/4.56 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 4.17/4.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.17/4.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.17/4.56 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.17/4.56 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 4.17/4.56 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.17/4.56 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.17/4.56 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Starting Search:
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 8948
% 4.17/4.56 Kept: 2000
% 4.17/4.56 Inuse: 377
% 4.17/4.56 Deleted: 44
% 4.17/4.56 Deletedinuse: 17
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 18456
% 4.17/4.56 Kept: 4018
% 4.17/4.56 Inuse: 595
% 4.17/4.56 Deleted: 59
% 4.17/4.56 Deletedinuse: 19
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 31457
% 4.17/4.56 Kept: 6020
% 4.17/4.56 Inuse: 752
% 4.17/4.56 Deleted: 98
% 4.17/4.56 Deletedinuse: 39
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 38604
% 4.17/4.56 Kept: 8034
% 4.17/4.56 Inuse: 907
% 4.17/4.56 Deleted: 131
% 4.17/4.56 Deletedinuse: 48
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 49036
% 4.17/4.56 Kept: 10037
% 4.17/4.56 Inuse: 1098
% 4.17/4.56 Deleted: 148
% 4.17/4.56 Deletedinuse: 48
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 55926
% 4.17/4.56 Kept: 12101
% 4.17/4.56 Inuse: 1214
% 4.17/4.56 Deleted: 157
% 4.17/4.56 Deletedinuse: 50
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 64982
% 4.17/4.56 Kept: 14161
% 4.17/4.56 Inuse: 1265
% 4.17/4.56 Deleted: 157
% 4.17/4.56 Deletedinuse: 50
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 75453
% 4.17/4.56 Kept: 16177
% 4.17/4.56 Inuse: 1398
% 4.17/4.56 Deleted: 171
% 4.17/4.56 Deletedinuse: 52
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 81825
% 4.17/4.56 Kept: 18266
% 4.17/4.56 Inuse: 1495
% 4.17/4.56 Deleted: 174
% 4.17/4.56 Deletedinuse: 52
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying clauses:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 87938
% 4.17/4.56 Kept: 20325
% 4.17/4.56 Inuse: 1576
% 4.17/4.56 Deleted: 345
% 4.17/4.56 Deletedinuse: 52
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 98960
% 4.17/4.56 Kept: 22389
% 4.17/4.56 Inuse: 1683
% 4.17/4.56 Deleted: 346
% 4.17/4.56 Deletedinuse: 52
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 107683
% 15.17/15.58 Kept: 24394
% 15.17/15.58 Inuse: 1778
% 15.17/15.58 Deleted: 346
% 15.17/15.58 Deletedinuse: 52
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 116301
% 15.17/15.58 Kept: 26404
% 15.17/15.58 Inuse: 1857
% 15.17/15.58 Deleted: 346
% 15.17/15.58 Deletedinuse: 52
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 127556
% 15.17/15.58 Kept: 28530
% 15.17/15.58 Inuse: 1943
% 15.17/15.58 Deleted: 346
% 15.17/15.58 Deletedinuse: 52
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 133021
% 15.17/15.58 Kept: 30614
% 15.17/15.58 Inuse: 1986
% 15.17/15.58 Deleted: 348
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 138169
% 15.17/15.58 Kept: 32623
% 15.17/15.58 Inuse: 2035
% 15.17/15.58 Deleted: 348
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 144602
% 15.17/15.58 Kept: 34642
% 15.17/15.58 Inuse: 2099
% 15.17/15.58 Deleted: 348
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 158899
% 15.17/15.58 Kept: 36834
% 15.17/15.58 Inuse: 2273
% 15.17/15.58 Deleted: 348
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 172422
% 15.17/15.58 Kept: 39047
% 15.17/15.58 Inuse: 2424
% 15.17/15.58 Deleted: 348
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying clauses:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 187017
% 15.17/15.58 Kept: 41157
% 15.17/15.58 Inuse: 2534
% 15.17/15.58 Deleted: 481
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 196661
% 15.17/15.58 Kept: 43157
% 15.17/15.58 Inuse: 2628
% 15.17/15.58 Deleted: 481
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 209489
% 15.17/15.58 Kept: 45230
% 15.17/15.58 Inuse: 2725
% 15.17/15.58 Deleted: 481
% 15.17/15.58 Deletedinuse: 54
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 222808
% 15.17/15.58 Kept: 47230
% 15.17/15.58 Inuse: 2861
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 234581
% 15.17/15.58 Kept: 49232
% 15.17/15.58 Inuse: 2961
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 244187
% 15.17/15.58 Kept: 51442
% 15.17/15.58 Inuse: 2998
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 256701
% 15.17/15.58 Kept: 53442
% 15.17/15.58 Inuse: 3102
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 268773
% 15.17/15.58 Kept: 55598
% 15.17/15.58 Inuse: 3190
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 283742
% 15.17/15.58 Kept: 57690
% 15.17/15.58 Inuse: 3291
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 295527
% 15.17/15.58 Kept: 59733
% 15.17/15.58 Inuse: 3386
% 15.17/15.58 Deleted: 483
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying clauses:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 308063
% 15.17/15.58 Kept: 61742
% 15.17/15.58 Inuse: 3504
% 15.17/15.58 Deleted: 543
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 315966
% 15.17/15.58 Kept: 63766
% 15.17/15.58 Inuse: 3547
% 15.17/15.58 Deleted: 543
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 331279
% 15.17/15.58 Kept: 65816
% 15.17/15.58 Inuse: 3696
% 15.17/15.58 Deleted: 543
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 343530
% 15.17/15.58 Kept: 67861
% 15.17/15.58 Inuse: 3731
% 15.17/15.58 Deleted: 543
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 353147
% 15.17/15.58 Kept: 69864
% 15.17/15.58 Inuse: 3766
% 15.17/15.58 Deleted: 543
% 15.17/15.58 Deletedinuse: 56
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58 Resimplifying inuse:
% 15.17/15.58 Done
% 15.17/15.58
% 15.17/15.58
% 15.17/15.58 Intermediate Status:
% 15.17/15.58 Generated: 363075
% 15.17/15.58 Kept: 71895
% 15.17/15.58 Inuse: 3797
% 15.17/15.58 Deleted: 543
% 25.60/25.99 Deletedinuse: 56
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 371716
% 25.60/25.99 Kept: 74112
% 25.60/25.99 Inuse: 3848
% 25.60/25.99 Deleted: 543
% 25.60/25.99 Deletedinuse: 56
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 384111
% 25.60/25.99 Kept: 76281
% 25.60/25.99 Inuse: 3933
% 25.60/25.99 Deleted: 544
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 394564
% 25.60/25.99 Kept: 78399
% 25.60/25.99 Inuse: 3964
% 25.60/25.99 Deleted: 544
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying clauses:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 408364
% 25.60/25.99 Kept: 80456
% 25.60/25.99 Inuse: 4019
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 420142
% 25.60/25.99 Kept: 82490
% 25.60/25.99 Inuse: 4087
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 437911
% 25.60/25.99 Kept: 84687
% 25.60/25.99 Inuse: 4234
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 450702
% 25.60/25.99 Kept: 86898
% 25.60/25.99 Inuse: 4354
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 458227
% 25.60/25.99 Kept: 88999
% 25.60/25.99 Inuse: 4437
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 464957
% 25.60/25.99 Kept: 91055
% 25.60/25.99 Inuse: 4466
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 474844
% 25.60/25.99 Kept: 93276
% 25.60/25.99 Inuse: 4487
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 487980
% 25.60/25.99 Kept: 95347
% 25.60/25.99 Inuse: 4608
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 495576
% 25.60/25.99 Kept: 97437
% 25.60/25.99 Inuse: 4647
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 506536
% 25.60/25.99 Kept: 99482
% 25.60/25.99 Inuse: 4767
% 25.60/25.99 Deleted: 580
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying clauses:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 522512
% 25.60/25.99 Kept: 101711
% 25.60/25.99 Inuse: 4804
% 25.60/25.99 Deleted: 611
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 530990
% 25.60/25.99 Kept: 103746
% 25.60/25.99 Inuse: 4873
% 25.60/25.99 Deleted: 611
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 533909
% 25.60/25.99 Kept: 105752
% 25.60/25.99 Inuse: 4913
% 25.60/25.99 Deleted: 611
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 545289
% 25.60/25.99 Kept: 107837
% 25.60/25.99 Inuse: 4956
% 25.60/25.99 Deleted: 611
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 552150
% 25.60/25.99 Kept: 109906
% 25.60/25.99 Inuse: 5107
% 25.60/25.99 Deleted: 611
% 25.60/25.99 Deletedinuse: 57
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 571642
% 25.60/25.99 Kept: 111906
% 25.60/25.99 Inuse: 5269
% 25.60/25.99 Deleted: 612
% 25.60/25.99 Deletedinuse: 58
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 585957
% 25.60/25.99 Kept: 113907
% 25.60/25.99 Inuse: 5358
% 25.60/25.99 Deleted: 612
% 25.60/25.99 Deletedinuse: 58
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 596173
% 25.60/25.99 Kept: 115911
% 25.60/25.99 Inuse: 5457
% 25.60/25.99 Deleted: 612
% 25.60/25.99 Deletedinuse: 58
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 610363
% 25.60/25.99 Kept: 117966
% 25.60/25.99 Inuse: 5542
% 25.60/25.99 Deleted: 612
% 25.60/25.99 Deletedinuse: 58
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 620177
% 25.60/25.99 Kept: 120028
% 25.60/25.99 Inuse: 5607
% 25.60/25.99 Deleted: 612
% 25.60/25.99 Deletedinuse: 58
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying clauses:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99 Resimplifying inuse:
% 25.60/25.99 Done
% 25.60/25.99
% 25.60/25.99
% 25.60/25.99 Intermediate Status:
% 25.60/25.99 Generated: 633604
% 25.60/25.99 Kept: 122232
% 40.34/40.75 Inuse: 5631
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 646531
% 40.34/40.75 Kept: 124453
% 40.34/40.75 Inuse: 5656
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 656087
% 40.34/40.75 Kept: 126746
% 40.34/40.75 Inuse: 5675
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 666344
% 40.34/40.75 Kept: 128880
% 40.34/40.75 Inuse: 5691
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 676384
% 40.34/40.75 Kept: 131053
% 40.34/40.75 Inuse: 5712
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 679535
% 40.34/40.75 Kept: 133148
% 40.34/40.75 Inuse: 5728
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 686457
% 40.34/40.75 Kept: 135308
% 40.34/40.75 Inuse: 5761
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 703113
% 40.34/40.75 Kept: 137558
% 40.34/40.75 Inuse: 5799
% 40.34/40.75 Deleted: 680
% 40.34/40.75 Deletedinuse: 58
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 708962
% 40.34/40.75 Kept: 139643
% 40.34/40.75 Inuse: 5823
% 40.34/40.75 Deleted: 681
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying clauses:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 720997
% 40.34/40.75 Kept: 141719
% 40.34/40.75 Inuse: 5853
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 735752
% 40.34/40.75 Kept: 143893
% 40.34/40.75 Inuse: 5877
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 741210
% 40.34/40.75 Kept: 146047
% 40.34/40.75 Inuse: 5893
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 748565
% 40.34/40.75 Kept: 148255
% 40.34/40.75 Inuse: 5955
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 753153
% 40.34/40.75 Kept: 150309
% 40.34/40.75 Inuse: 5990
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 761175
% 40.34/40.75 Kept: 152312
% 40.34/40.75 Inuse: 6050
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 773261
% 40.34/40.75 Kept: 154526
% 40.34/40.75 Inuse: 6110
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 786416
% 40.34/40.75 Kept: 156915
% 40.34/40.75 Inuse: 6164
% 40.34/40.75 Deleted: 724
% 40.34/40.75 Deletedinuse: 59
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 800420
% 40.34/40.75 Kept: 159064
% 40.34/40.75 Inuse: 6254
% 40.34/40.75 Deleted: 726
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying clauses:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 805765
% 40.34/40.75 Kept: 161221
% 40.34/40.75 Inuse: 6273
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 819027
% 40.34/40.75 Kept: 163335
% 40.34/40.75 Inuse: 6313
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 829340
% 40.34/40.75 Kept: 165768
% 40.34/40.75 Inuse: 6361
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 836267
% 40.34/40.75 Kept: 168164
% 40.34/40.75 Inuse: 6376
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 843122
% 40.34/40.75 Kept: 170164
% 40.34/40.75 Inuse: 6394
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 848855
% 40.34/40.75 Kept: 172406
% 40.34/40.75 Inuse: 6424
% 40.34/40.75 Deleted: 758
% 40.34/40.75 Deletedinuse: 61
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75 Resimplifying inuse:
% 40.34/40.75 Done
% 40.34/40.75
% 40.34/40.75
% 40.34/40.75 Intermediate Status:
% 40.34/40.75 Generated: 854764
% 47.82/48.24 Kept: 174712
% 47.82/48.24 Inuse: 6484
% 47.82/48.24 Deleted: 759
% 47.82/48.24 Deletedinuse: 62
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 862980
% 47.82/48.24 Kept: 176792
% 47.82/48.24 Inuse: 6560
% 47.82/48.24 Deleted: 760
% 47.82/48.24 Deletedinuse: 63
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 869152
% 47.82/48.24 Kept: 178862
% 47.82/48.24 Inuse: 6580
% 47.82/48.24 Deleted: 760
% 47.82/48.24 Deletedinuse: 63
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 873713
% 47.82/48.24 Kept: 181107
% 47.82/48.24 Inuse: 6612
% 47.82/48.24 Deleted: 762
% 47.82/48.24 Deletedinuse: 65
% 47.82/48.24
% 47.82/48.24 Resimplifying clauses:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 875894
% 47.82/48.24 Kept: 183141
% 47.82/48.24 Inuse: 6620
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 883778
% 47.82/48.24 Kept: 185725
% 47.82/48.24 Inuse: 6666
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 894012
% 47.82/48.24 Kept: 187734
% 47.82/48.24 Inuse: 6740
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 898303
% 47.82/48.24 Kept: 189912
% 47.82/48.24 Inuse: 6772
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 904509
% 47.82/48.24 Kept: 192113
% 47.82/48.24 Inuse: 6797
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 907383
% 47.82/48.24 Kept: 194205
% 47.82/48.24 Inuse: 6818
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 913497
% 47.82/48.24 Kept: 196400
% 47.82/48.24 Inuse: 6864
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 922958
% 47.82/48.24 Kept: 198543
% 47.82/48.24 Inuse: 6887
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 930178
% 47.82/48.24 Kept: 200859
% 47.82/48.24 Inuse: 6900
% 47.82/48.24 Deleted: 779
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying clauses:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 936751
% 47.82/48.24 Kept: 202943
% 47.82/48.24 Inuse: 6907
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 940528
% 47.82/48.24 Kept: 205068
% 47.82/48.24 Inuse: 6925
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 944519
% 47.82/48.24 Kept: 207243
% 47.82/48.24 Inuse: 6944
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 948360
% 47.82/48.24 Kept: 209466
% 47.82/48.24 Inuse: 6979
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 951519
% 47.82/48.24 Kept: 211647
% 47.82/48.24 Inuse: 6989
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 969039
% 47.82/48.24 Kept: 213929
% 47.82/48.24 Inuse: 7076
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 988067
% 47.82/48.24 Kept: 216169
% 47.82/48.24 Inuse: 7146
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 997387
% 47.82/48.24 Kept: 218386
% 47.82/48.24 Inuse: 7166
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1011122
% 47.82/48.24 Kept: 220481
% 47.82/48.24 Inuse: 7212
% 47.82/48.24 Deleted: 813
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying clauses:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1018331
% 47.82/48.24 Kept: 222818
% 47.82/48.24 Inuse: 7278
% 47.82/48.24 Deleted: 897
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1037006
% 47.82/48.24 Kept: 224833
% 47.82/48.24 Inuse: 7399
% 47.82/48.24 Deleted: 897
% 47.82/48.24 Deletedinuse: 68
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1053111
% 47.82/48.24 Kept: 227117
% 47.82/48.24 Inuse: 7506
% 47.82/48.24 Deleted: 898
% 47.82/48.24 Deletedinuse: 69
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1059630
% 47.82/48.24 Kept: 229468
% 47.82/48.24 Inuse: 7529
% 47.82/48.24 Deleted: 898
% 47.82/48.24 Deletedinuse: 69
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1068277
% 47.82/48.24 Kept: 231617
% 47.82/48.24 Inuse: 7556
% 47.82/48.24 Deleted: 898
% 47.82/48.24 Deletedinuse: 69
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1081436
% 47.82/48.24 Kept: 234191
% 47.82/48.24 Inuse: 7596
% 47.82/48.24 Deleted: 898
% 47.82/48.24 Deletedinuse: 69
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1091929
% 47.82/48.24 Kept: 236276
% 47.82/48.24 Inuse: 7617
% 47.82/48.24 Deleted: 899
% 47.82/48.24 Deletedinuse: 70
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1100118
% 47.82/48.24 Kept: 238405
% 47.82/48.24 Inuse: 7641
% 47.82/48.24 Deleted: 899
% 47.82/48.24 Deletedinuse: 70
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1106161
% 47.82/48.24 Kept: 240482
% 47.82/48.24 Inuse: 7666
% 47.82/48.24 Deleted: 899
% 47.82/48.24 Deletedinuse: 70
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying clauses:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24 Done
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 Intermediate Status:
% 47.82/48.24 Generated: 1119434
% 47.82/48.24 Kept: 242507
% 47.82/48.24 Inuse: 7727
% 47.82/48.24 Deleted: 998
% 47.82/48.24 Deletedinuse: 71
% 47.82/48.24
% 47.82/48.24 Resimplifying inuse:
% 47.82/48.24
% 47.82/48.24 Bliksems!, er is een bewijs:
% 47.82/48.24 % SZS status Unsatisfiable
% 47.82/48.24 % SZS output start Refutation
% 47.82/48.24
% 47.82/48.24 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 47.82/48.24 ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( not( b )
% 47.82/48.24 , not( a ) ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 47.82/48.24 implies( not( X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 .
% 47.82/48.24 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 not( X ), X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 47.82/48.24 , implies( X, Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 47.82/48.24 X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 47.82/48.24 implies( X, X ) ), Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 47.82/48.24 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 47.82/48.24 implies( Z, X ), T ) ), U ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 47.82/48.24 Y ), Z ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 47.82/48.24 , implies( X, Z ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 47.82/48.24 , Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 47.82/48.24 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 47.82/48.24 implies( Z, Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 47.82/48.24 ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 47.82/48.24 ), Z ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 47.82/48.24 ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 47.82/48.24 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 47.82/48.24 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 47.82/48.24 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1540, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies( X,
% 47.82/48.24 implies( T, Z ) ) ) ), U ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 47.82/48.24 ), X ), X ), Y ), Y ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 47.82/48.24 ), implies( X, Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, X ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 47.82/48.24 ) ), T ), implies( not( X ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 47.82/48.24 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( not( X ) ), X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 47.82/48.24 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 47.82/48.24 ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 47.82/48.24 , Y ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 30794, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 47.82/48.24 implies( implies( X, Y ), Z ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 31031, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 implies( not( Z ), implies( Z, T ) ), X ), Y ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 236193, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( X, Y ) ), Z ), implies( implies( Z, T ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 237616, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( not( Y ), implies( X, Z ) ) ), T ), T ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 240539, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 241947, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 47.82/48.24 not( Y ), X ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 241971, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), Y ), implies( not( Y ), X ) ), Z ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 243715, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not( Y
% 47.82/48.24 ), not( X ) ) ) ) ] )
% 47.82/48.24 .
% 47.82/48.24 clause( 243994, [] )
% 47.82/48.24 .
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 % SZS output end Refutation
% 47.82/48.24 found a proof!
% 47.82/48.24
% 47.82/48.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 47.82/48.24
% 47.82/48.24 initialclauses(
% 47.82/48.24 [ clause( 243996, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 47.82/48.24 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , clause( 243997, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 243998, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 47.82/48.24 ] )
% 47.82/48.24 , clause( 243999, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 47.82/48.24 ] )
% 47.82/48.24 , clause( 244000, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 47.82/48.24 not( b ), not( a ) ) ) ) ) ] )
% 47.82/48.24 ] ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 47.82/48.24 ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , clause( 243996, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 47.82/48.24 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 243997, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 47.82/48.24 , clause( 243998, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 47.82/48.24 ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 243999, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 47.82/48.24 ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( not( b )
% 47.82/48.24 , not( a ) ) ) ) ) ] )
% 47.82/48.24 , clause( 244000, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 47.82/48.24 not( b ), not( a ) ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244002, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 47.82/48.24 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 47.82/48.24 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 244002, [ ~( 'is_a_theorem'( implies( implies( implies( not( X )
% 47.82/48.24 , X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 47.82/48.24 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244004, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 47.82/48.24 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 47.82/48.24 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 47.82/48.24 implies( not( X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244004, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 47.82/48.24 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244006, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 47.82/48.24 ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 47.82/48.24 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 47.82/48.24 ), :=( Y, Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , clause( 244006, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 47.82/48.24 ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244007, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( not( X ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 47.82/48.24 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 47.82/48.24 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 not( X ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 244007, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( not( X ), X ), Y ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244009, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( not( X ), X ), Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 47.82/48.24 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 47.82/48.24 :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244009, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244010, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 47.82/48.24 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 47.82/48.24 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 47.82/48.24 , implies( X, Z ) ) ) ] )
% 47.82/48.24 , clause( 244010, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 47.82/48.24 ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244011, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 47.82/48.24 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 47.82/48.24 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 47.82/48.24 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , clause( 244011, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 47.82/48.24 Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244012, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 47.82/48.24 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 47.82/48.24 , clause( 244012, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244014, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 47.82/48.24 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 47.82/48.24 :=( Y, Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244014, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244016, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 47.82/48.24 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 47.82/48.24 substitution( 1, [ :=( X, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 47.82/48.24 X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 244016, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 47.82/48.24 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 47.82/48.24 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244017, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 47.82/48.24 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 47.82/48.24 , clause( 244017, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) )
% 47.82/48.24 ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244019, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 47.82/48.24 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 47.82/48.24 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 47.82/48.24 implies( X, X ) ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244019, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 47.82/48.24 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244020, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 47.82/48.24 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 47.82/48.24 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 47.82/48.24 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 47.82/48.24 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 47.82/48.24 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244020, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 47.82/48.24 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244021, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 47.82/48.24 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 47.82/48.24 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 47.82/48.24 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 47.82/48.24 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 , clause( 244021, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244023, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 47.82/48.24 , U ) ) ), 'is_a_theorem'( U ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 47.82/48.24 implies( Z, X ), T ) ), U ) ) ) ] )
% 47.82/48.24 , clause( 244023, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 47.82/48.24 , U ) ) ), 'is_a_theorem'( U ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 47.82/48.24 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244025, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 47.82/48.24 ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 47.82/48.24 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 47.82/48.24 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 47.82/48.24 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 47.82/48.24 Y ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244025, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 47.82/48.24 ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244026, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 47.82/48.24 Y, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 47.82/48.24 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 47.82/48.24 implies( Y, implies( X, Z ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 47.82/48.24 , implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 244026, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 47.82/48.24 implies( Y, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244027, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 47.82/48.24 ), Z ) ) ) ] )
% 47.82/48.24 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 47.82/48.24 implies( Y, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 47.82/48.24 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 47.82/48.24 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 47.82/48.24 , Z ) ) ) ] )
% 47.82/48.24 , clause( 244027, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 47.82/48.24 ) ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244029, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 47.82/48.24 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 47.82/48.24 implies( Y, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 47.82/48.24 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 47.82/48.24 :=( Y, Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244029, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 47.82/48.24 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244031, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 47.82/48.24 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 47.82/48.24 ) ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 47.82/48.24 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 47.82/48.24 Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244031, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 47.82/48.24 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244032, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 47.82/48.24 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 47.82/48.24 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 47.82/48.24 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 47.82/48.24 Y ) ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 47.82/48.24 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 47.82/48.24 , clause( 244032, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 47.82/48.24 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244033, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 47.82/48.24 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 47.82/48.24 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 47.82/48.24 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 47.82/48.24 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 47.82/48.24 , clause( 244033, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244035, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 47.82/48.24 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244035, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 47.82/48.24 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244036, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 47.82/48.24 implies( Z, Y ) ) ) ] )
% 47.82/48.24 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( Y, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 47.82/48.24 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 47.82/48.24 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 47.82/48.24 implies( Z, Y ) ) ) ] )
% 47.82/48.24 , clause( 244036, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 47.82/48.24 , implies( Z, Y ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244038, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 47.82/48.24 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 47.82/48.24 , implies( Z, Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 47.82/48.24 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 47.82/48.24 , Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244038, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 X, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244039, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 47.82/48.24 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 47.82/48.24 , implies( X, Y ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 , clause( 244039, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244040, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 47.82/48.24 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 47.82/48.24 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 47.82/48.24 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244040, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244042, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 47.82/48.24 Y, Y ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244042, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 47.82/48.24 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244043, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 47.82/48.24 ) ) ] )
% 47.82/48.24 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 47.82/48.24 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 47.82/48.24 Z, Y ), :=( T, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 47.82/48.24 ) ] )
% 47.82/48.24 , clause( 244043, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 47.82/48.24 , Y ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244045, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 47.82/48.24 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 47.82/48.24 , Y ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 47.82/48.24 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244045, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 X, X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244046, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 47.82/48.24 , Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 47.82/48.24 implies( X, Y ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 47.82/48.24 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 47.82/48.24 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 47.82/48.24 ), Z ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244046, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 Y, Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244048, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 47.82/48.24 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 Y, Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 47.82/48.24 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 47.82/48.24 ), :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244048, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 47.82/48.24 implies( implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244049, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 47.82/48.24 , Z ) ) ) ) ] )
% 47.82/48.24 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 47.82/48.24 , Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 47.82/48.24 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 47.82/48.24 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 47.82/48.24 ) ) ) ) ] )
% 47.82/48.24 , clause( 244049, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 47.82/48.24 ), Z ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244051, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 47.82/48.24 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 47.82/48.24 ), Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 47.82/48.24 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 47.82/48.24 , Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 47.82/48.24 , clause( 244051, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 47.82/48.24 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244052, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 47.82/48.24 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 47.82/48.24 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 47.82/48.24 ) ) ), :=( Z, T )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 47.82/48.24 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 47.82/48.24 , clause( 244052, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244053, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 47.82/48.24 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 47.82/48.24 implies( Z, X ), T ) ), U ) ) ) ] )
% 47.82/48.24 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 47.82/48.24 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 47.82/48.24 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 47.82/48.24 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 47.82/48.24 ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 47.82/48.24 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 , clause( 244053, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 47.82/48.24 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244054, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 47.82/48.24 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 47.82/48.24 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 47.82/48.24 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 47.82/48.24 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 47.82/48.24 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 47.82/48.24 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , clause( 244054, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 47.82/48.24 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244056, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 Y, Z ) ), implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ), U
% 47.82/48.24 ) ) ), 'is_a_theorem'( U ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 47.82/48.24 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 47.82/48.24 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ), :=( Y, U )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1540, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies( X,
% 47.82/48.24 implies( T, Z ) ) ) ), U ) ) ) ] )
% 47.82/48.24 , clause( 244056, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 47.82/48.24 implies( Y, Z ) ), implies( implies( T, Y ), implies( X, implies( T, Z )
% 47.82/48.24 ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 47.82/48.24 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244057, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 47.82/48.24 Y ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 47.82/48.24 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 47.82/48.24 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 47.82/48.24 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244057, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244058, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 47.82/48.24 X ), X ), X ), Y ), Y ) ) ] )
% 47.82/48.24 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 47.82/48.24 Y ), Z ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 47.82/48.24 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 47.82/48.24 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 47.82/48.24 ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 47.82/48.24 ), X ), X ), Y ), Y ) ) ] )
% 47.82/48.24 , clause( 244058, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 47.82/48.24 X ), X ), X ), Y ), Y ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244060, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 not( X ), X ), X ), Y ), Y ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 47.82/48.24 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 47.82/48.24 :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244060, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244061, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 47.82/48.24 ) ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 47.82/48.24 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 47.82/48.24 ), :=( T, implies( X, Y ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 47.82/48.24 ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , clause( 244061, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 47.82/48.24 , Y ) ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244063, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 47.82/48.24 , Y ) ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 47.82/48.24 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 47.82/48.24 :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244063, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 47.82/48.24 implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 47.82/48.24 ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244064, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 47.82/48.24 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 47.82/48.24 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 47.82/48.24 :=( T, implies( Y, X ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 47.82/48.24 , clause( 244064, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244066, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 47.82/48.24 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 47.82/48.24 , implies( Y, X ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244066, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 47.82/48.24 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244067, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( Y, X ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 47.82/48.24 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 47.82/48.24 :=( T, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244067, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244068, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 47.82/48.24 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 47.82/48.24 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 47.82/48.24 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 47.82/48.24 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 , clause( 244068, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244069, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 47.82/48.24 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 47.82/48.24 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 47.82/48.24 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 47.82/48.24 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 47.82/48.24 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 47.82/48.24 implies( Y, Z ) ) ), :=( T, T )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 47.82/48.24 ) ), T ), implies( not( X ), T ) ) ) ] )
% 47.82/48.24 , clause( 244069, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244070, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 47.82/48.24 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 47.82/48.24 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies( X, T
% 47.82/48.24 ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, implies(
% 47.82/48.24 implies( X, Y ), implies( Z, Y ) ) ), :=( T, T )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 47.82/48.24 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 47.82/48.24 , clause( 244070, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 47.82/48.24 Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244071, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 47.82/48.24 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 47.82/48.24 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 47.82/48.24 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , clause( 244071, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 47.82/48.24 ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244073, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 47.82/48.24 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 47.82/48.24 ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 47.82/48.24 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244073, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 47.82/48.24 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244074, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 47.82/48.24 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 47.82/48.24 , Y ) ), implies( X, Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 47.82/48.24 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 47.82/48.24 , X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 47.82/48.24 , clause( 244074, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244076, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 47.82/48.24 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 47.82/48.24 , substitution( 1, [ :=( X, X )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( not( X ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 244076, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 47.82/48.24 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 47.82/48.24 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244077, [ 'is_a_theorem'( implies( implies( implies( not( not( X )
% 47.82/48.24 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( not( X ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( implies( not(
% 47.82/48.24 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 47.82/48.24 T, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 47.82/48.24 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244077, [ 'is_a_theorem'( implies( implies( implies( not( not( X
% 47.82/48.24 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244078, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 47.82/48.24 ) ) ] )
% 47.82/48.24 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 47.82/48.24 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 47.82/48.24 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 47.82/48.24 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 47.82/48.24 ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 47.82/48.24 ) ) ] )
% 47.82/48.24 , clause( 244078, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 47.82/48.24 ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244080, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 47.82/48.24 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 47.82/48.24 , Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 47.82/48.24 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244080, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 47.82/48.24 implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244081, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), Y ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 47.82/48.24 implies( implies( X, Y ), Y ), Z ), implies( X, Z ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) ),
% 47.82/48.24 :=( Z, Z )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 47.82/48.24 , Y ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , clause( 244081, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 47.82/48.24 Y ), Y ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244082, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 47.82/48.24 implies( implies( X, Y ), Z ) ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 47.82/48.24 , Y ), Y ), Z ), implies( X, Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z, Z ),
% 47.82/48.24 :=( T, implies( X, implies( implies( Y, Z ), implies( implies( X, Y ), Z
% 47.82/48.24 ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, implies(
% 47.82/48.24 implies( Y, Z ), implies( implies( X, Y ), Z ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 30794, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 47.82/48.24 implies( implies( X, Y ), Z ) ) ) ) ] )
% 47.82/48.24 , clause( 244082, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 47.82/48.24 implies( implies( X, Y ), Z ) ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244083, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( not( Z ), implies( Z, T ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 30794, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z )
% 47.82/48.24 , implies( implies( X, Y ), Z ) ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies( X
% 47.82/48.24 , Y ), implies( implies( implies( not( Z ), implies( Z, T ) ), X ), Y ) )
% 47.82/48.24 )] ), substitution( 1, [ :=( X, implies( not( Z ), implies( Z, T ) ) ),
% 47.82/48.24 :=( Y, X ), :=( Z, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 31031, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 47.82/48.24 implies( not( Z ), implies( Z, T ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , clause( 244083, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( not( Z ), implies( Z, T ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244084, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( X, Y ) ), Z ), implies( implies( Z, T ), T ) ) ) ] )
% 47.82/48.24 , clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 31031, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.24 implies( implies( not( Z ), implies( Z, T ) ), X ), Y ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies(
% 47.82/48.24 implies( not( X ), implies( X, Y ) ), Z ), implies( implies( Z, T ), T )
% 47.82/48.24 ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, implies( implies( Z, T ),
% 47.82/48.24 T ) ), :=( Z, X ), :=( T, Y )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 236193, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( X, Y ) ), Z ), implies( implies( Z, T ), T ) ) ) ] )
% 47.82/48.24 , clause( 244084, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( X, Y ) ), Z ), implies( implies( Z, T ), T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244085, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( not( Y ), implies( X, Z ) ) ), T ), T ) ) ] )
% 47.82/48.24 , clause( 1540, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies( X,
% 47.82/48.24 implies( T, Z ) ) ) ), U ) ) ) ] )
% 47.82/48.24 , 1, clause( 236193, [ 'is_a_theorem'( implies( implies( implies( not( X )
% 47.82/48.24 , implies( X, Y ) ), Z ), implies( implies( Z, T ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X
% 47.82/48.24 ), :=( U, implies( implies( implies( implies( X, Y ), implies( not( Y )
% 47.82/48.24 , implies( X, Z ) ) ), T ), T ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 47.82/48.24 Y, Z ), :=( Z, implies( implies( X, Y ), implies( not( Y ), implies( X, Z
% 47.82/48.24 ) ) ) ), :=( T, T )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 237616, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 47.82/48.24 ), implies( not( Y ), implies( X, Z ) ) ), T ), T ) ) ] )
% 47.82/48.24 , clause( 244085, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 47.82/48.24 Y ), implies( not( Y ), implies( X, Z ) ) ), T ), T ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244086, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) ) ] )
% 47.82/48.24 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 47.82/48.24 )
% 47.82/48.24 , 1, clause( 237616, [ 'is_a_theorem'( implies( implies( implies( implies(
% 47.82/48.24 X, Y ), implies( not( Y ), implies( X, Z ) ) ), T ), T ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, implies( not( X )
% 47.82/48.24 , implies( Y, Z ) ) ), :=( Z, T ), :=( T, implies( implies( implies( not(
% 47.82/48.24 X ), implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) )] ),
% 47.82/48.24 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 47.82/48.24 implies( implies( not( X ), implies( Y, Z ) ), T ), implies( implies( Y,
% 47.82/48.24 X ), T ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 240539, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) ) ] )
% 47.82/48.24 , clause( 244086, [ 'is_a_theorem'( implies( implies( implies( not( X ),
% 47.82/48.24 implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244087, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 47.82/48.24 not( Y ), X ) ) ) ] )
% 47.82/48.24 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 240539, [ 'is_a_theorem'( implies( implies( implies( not( X )
% 47.82/48.24 , implies( Y, Z ) ), T ), implies( implies( Y, X ), T ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, X ), :=( Z, implies(
% 47.82/48.24 implies( not( X ), Y ), implies( not( Y ), X ) ) )] ), substitution( 1, [
% 47.82/48.24 :=( X, Y ), :=( Y, not( X ) ), :=( Z, X ), :=( T, implies( not( Y ), X )
% 47.82/48.24 )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 241947, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 47.82/48.24 not( Y ), X ) ) ) ] )
% 47.82/48.24 , clause( 244087, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 47.82/48.24 implies( not( Y ), X ) ) ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.24 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244089, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 47.82/48.24 ), implies( not( Y ), X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 47.82/48.24 , ~( 'is_a_theorem'( X ) ) ] )
% 47.82/48.24 , 2, clause( 241947, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 47.82/48.24 implies( not( Y ), X ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), Y ), implies(
% 47.82/48.24 not( Y ), X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 47.82/48.24 )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 241971, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 47.82/48.24 implies( not( X ), Y ), implies( not( Y ), X ) ), Z ) ) ) ] )
% 47.82/48.24 , clause( 244089, [ ~( 'is_a_theorem'( implies( implies( implies( not( X )
% 47.82/48.24 , Y ), implies( not( Y ), X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 47.82/48.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.82/48.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 resolution(
% 47.82/48.24 clause( 244090, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not( Y
% 47.82/48.24 ), not( X ) ) ) ) ] )
% 47.82/48.24 , clause( 241971, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies(
% 47.82/48.24 implies( implies( not( X ), Y ), implies( not( Y ), X ) ), Z ) ) ) ] )
% 47.82/48.24 , 1, clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X
% 47.82/48.24 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 47.82/48.24 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, implies(
% 47.82/48.24 implies( X, Y ), implies( not( Y ), not( X ) ) ) )] ), substitution( 1, [
% 47.82/48.24 :=( X, X ), :=( Y, Y ), :=( Z, implies( not( Y ), not( X ) ) )] )).
% 47.82/48.24
% 47.82/48.24
% 47.82/48.24 subsumption(
% 47.82/48.24 clause( 243715, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not( Y
% 47.82/48.25 ), not( X ) ) ) ) ] )
% 47.82/48.25 , clause( 244090, [ 'is_a_theorem'( implies( implies( X, Y ), implies( not(
% 47.82/48.25 Y ), not( X ) ) ) ) ] )
% 47.82/48.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.82/48.25 )] ) ).
% 47.82/48.25
% 47.82/48.25
% 47.82/48.25 resolution(
% 47.82/48.25 clause( 244091, [] )
% 47.82/48.25 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( not( b
% 47.82/48.25 ), not( a ) ) ) ) ) ] )
% 47.82/48.25 , 0, clause( 243715, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 47.82/48.25 not( Y ), not( X ) ) ) ) ] )
% 47.82/48.25 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 47.82/48.25 ).
% 47.82/48.25
% 47.82/48.25
% 47.82/48.25 subsumption(
% 47.82/48.25 clause( 243994, [] )
% 47.82/48.25 , clause( 244091, [] )
% 47.82/48.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 47.82/48.25
% 47.82/48.25
% 47.82/48.25 end.
% 47.82/48.25
% 47.82/48.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 47.82/48.25
% 47.82/48.25 Memory use:
% 47.82/48.25
% 47.82/48.25 space for terms: 6088579
% 47.82/48.25 space for clauses: 28049538
% 47.82/48.25
% 47.82/48.25
% 47.82/48.25 clauses generated: 1130392
% 47.82/48.25 clauses kept: 243995
% 47.82/48.25 clauses selected: 7810
% 47.82/48.25 clauses deleted: 1002
% 47.82/48.25 clauses inuse deleted: 75
% 47.82/48.25
% 47.82/48.25 subsentry: 1008416
% 47.82/48.25 literals s-matched: 887400
% 47.82/48.25 literals matched: 887399
% 47.82/48.25 full subsumption: 0
% 47.82/48.25
% 47.82/48.25 checksum: -1436024721
% 47.82/48.25
% 47.82/48.25
% 47.82/48.25 Bliksem ended
%------------------------------------------------------------------------------