TSTP Solution File: LCL404-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL404-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:53:21 EDT 2022
% Result : Unsatisfiable 16.31s 16.78s
% Output : Refutation 16.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL404-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 2 23:29:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.80/4.19 *** allocated 10000 integers for termspace/termends
% 3.80/4.19 *** allocated 10000 integers for clauses
% 3.80/4.19 *** allocated 10000 integers for justifications
% 3.80/4.19 Bliksem 1.12
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Automatic Strategy Selection
% 3.80/4.19
% 3.80/4.19 Clauses:
% 3.80/4.19 [
% 3.80/4.19 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.80/4.19 'is_a_theorem'( Y ) ],
% 3.80/4.19 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 3.80/4.19 implies( X, Z ) ) ) ) ],
% 3.80/4.19 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 3.80/4.19 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 3.80/4.19 [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies( x, not( y ) )
% 3.80/4.19 ) ) ) ) ) ]
% 3.80/4.19 ] .
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 percentage equality = 0.000000, percentage horn = 1.000000
% 3.80/4.19 This is a near-Horn, non-equality problem
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Options Used:
% 3.80/4.19
% 3.80/4.19 useres = 1
% 3.80/4.19 useparamod = 0
% 3.80/4.19 useeqrefl = 0
% 3.80/4.19 useeqfact = 0
% 3.80/4.19 usefactor = 1
% 3.80/4.19 usesimpsplitting = 0
% 3.80/4.19 usesimpdemod = 0
% 3.80/4.19 usesimpres = 4
% 3.80/4.19
% 3.80/4.19 resimpinuse = 1000
% 3.80/4.19 resimpclauses = 20000
% 3.80/4.19 substype = standard
% 3.80/4.19 backwardsubs = 1
% 3.80/4.19 selectoldest = 5
% 3.80/4.19
% 3.80/4.19 litorderings [0] = split
% 3.80/4.19 litorderings [1] = liftord
% 3.80/4.19
% 3.80/4.19 termordering = none
% 3.80/4.19
% 3.80/4.19 litapriori = 1
% 3.80/4.19 termapriori = 0
% 3.80/4.19 litaposteriori = 0
% 3.80/4.19 termaposteriori = 0
% 3.80/4.19 demodaposteriori = 0
% 3.80/4.19 ordereqreflfact = 0
% 3.80/4.19
% 3.80/4.19 litselect = negative
% 3.80/4.19
% 3.80/4.19 maxweight = 30000
% 3.80/4.19 maxdepth = 30000
% 3.80/4.19 maxlength = 115
% 3.80/4.19 maxnrvars = 195
% 3.80/4.19 excuselevel = 0
% 3.80/4.19 increasemaxweight = 0
% 3.80/4.19
% 3.80/4.19 maxselected = 10000000
% 3.80/4.19 maxnrclauses = 10000000
% 3.80/4.19
% 3.80/4.19 showgenerated = 0
% 3.80/4.19 showkept = 0
% 3.80/4.19 showselected = 0
% 3.80/4.19 showdeleted = 0
% 3.80/4.19 showresimp = 1
% 3.80/4.19 showstatus = 2000
% 3.80/4.19
% 3.80/4.19 prologoutput = 1
% 3.80/4.19 nrgoals = 5000000
% 3.80/4.19 totalproof = 1
% 3.80/4.19
% 3.80/4.19 Symbols occurring in the translation:
% 3.80/4.19
% 3.80/4.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.80/4.19 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 3.80/4.19 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 3.80/4.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.80/4.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.80/4.19 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.80/4.19 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 3.80/4.19 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.80/4.19 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.80/4.19 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Starting Search:
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 8948
% 3.80/4.19 Kept: 2000
% 3.80/4.19 Inuse: 377
% 3.80/4.19 Deleted: 44
% 3.80/4.19 Deletedinuse: 17
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 18456
% 3.80/4.19 Kept: 4018
% 3.80/4.19 Inuse: 595
% 3.80/4.19 Deleted: 59
% 3.80/4.19 Deletedinuse: 19
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 31457
% 3.80/4.19 Kept: 6020
% 3.80/4.19 Inuse: 752
% 3.80/4.19 Deleted: 98
% 3.80/4.19 Deletedinuse: 39
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 38604
% 3.80/4.19 Kept: 8034
% 3.80/4.19 Inuse: 907
% 3.80/4.19 Deleted: 131
% 3.80/4.19 Deletedinuse: 48
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 49036
% 3.80/4.19 Kept: 10037
% 3.80/4.19 Inuse: 1098
% 3.80/4.19 Deleted: 148
% 3.80/4.19 Deletedinuse: 48
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 55926
% 3.80/4.19 Kept: 12101
% 3.80/4.19 Inuse: 1214
% 3.80/4.19 Deleted: 157
% 3.80/4.19 Deletedinuse: 50
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 64982
% 3.80/4.19 Kept: 14161
% 3.80/4.19 Inuse: 1265
% 3.80/4.19 Deleted: 157
% 3.80/4.19 Deletedinuse: 50
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 75453
% 3.80/4.19 Kept: 16177
% 3.80/4.19 Inuse: 1398
% 3.80/4.19 Deleted: 171
% 3.80/4.19 Deletedinuse: 52
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 81825
% 3.80/4.19 Kept: 18266
% 3.80/4.19 Inuse: 1495
% 3.80/4.19 Deleted: 174
% 3.80/4.19 Deletedinuse: 52
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying clauses:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 87938
% 3.80/4.19 Kept: 20325
% 3.80/4.19 Inuse: 1576
% 3.80/4.19 Deleted: 345
% 3.80/4.19 Deletedinuse: 52
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 3.80/4.19 Done
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 Intermediate Status:
% 3.80/4.19 Generated: 98960
% 3.80/4.19 Kept: 22389
% 3.80/4.19 Inuse: 1683
% 3.80/4.19 Deleted: 346
% 3.80/4.19 Deletedinuse: 52
% 3.80/4.19
% 3.80/4.19 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 107683
% 8.53/8.96 Kept: 24394
% 8.53/8.96 Inuse: 1778
% 8.53/8.96 Deleted: 346
% 8.53/8.96 Deletedinuse: 52
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 116301
% 8.53/8.96 Kept: 26404
% 8.53/8.96 Inuse: 1857
% 8.53/8.96 Deleted: 346
% 8.53/8.96 Deletedinuse: 52
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 127556
% 8.53/8.96 Kept: 28530
% 8.53/8.96 Inuse: 1943
% 8.53/8.96 Deleted: 346
% 8.53/8.96 Deletedinuse: 52
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 133021
% 8.53/8.96 Kept: 30614
% 8.53/8.96 Inuse: 1986
% 8.53/8.96 Deleted: 348
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 138169
% 8.53/8.96 Kept: 32623
% 8.53/8.96 Inuse: 2035
% 8.53/8.96 Deleted: 348
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 144602
% 8.53/8.96 Kept: 34642
% 8.53/8.96 Inuse: 2099
% 8.53/8.96 Deleted: 348
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 158899
% 8.53/8.96 Kept: 36834
% 8.53/8.96 Inuse: 2273
% 8.53/8.96 Deleted: 348
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 172422
% 8.53/8.96 Kept: 39047
% 8.53/8.96 Inuse: 2424
% 8.53/8.96 Deleted: 348
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying clauses:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 187017
% 8.53/8.96 Kept: 41157
% 8.53/8.96 Inuse: 2534
% 8.53/8.96 Deleted: 481
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 196661
% 8.53/8.96 Kept: 43157
% 8.53/8.96 Inuse: 2628
% 8.53/8.96 Deleted: 481
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 209489
% 8.53/8.96 Kept: 45230
% 8.53/8.96 Inuse: 2725
% 8.53/8.96 Deleted: 481
% 8.53/8.96 Deletedinuse: 54
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 222808
% 8.53/8.96 Kept: 47230
% 8.53/8.96 Inuse: 2861
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 234581
% 8.53/8.96 Kept: 49232
% 8.53/8.96 Inuse: 2961
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 244187
% 8.53/8.96 Kept: 51442
% 8.53/8.96 Inuse: 2998
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 256701
% 8.53/8.96 Kept: 53442
% 8.53/8.96 Inuse: 3102
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 268773
% 8.53/8.96 Kept: 55598
% 8.53/8.96 Inuse: 3190
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 283742
% 8.53/8.96 Kept: 57690
% 8.53/8.96 Inuse: 3291
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 295527
% 8.53/8.96 Kept: 59733
% 8.53/8.96 Inuse: 3386
% 8.53/8.96 Deleted: 483
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying clauses:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 308063
% 8.53/8.96 Kept: 61742
% 8.53/8.96 Inuse: 3504
% 8.53/8.96 Deleted: 543
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 315966
% 8.53/8.96 Kept: 63766
% 8.53/8.96 Inuse: 3547
% 8.53/8.96 Deleted: 543
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 331279
% 8.53/8.96 Kept: 65816
% 8.53/8.96 Inuse: 3696
% 8.53/8.96 Deleted: 543
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 343530
% 8.53/8.96 Kept: 67861
% 8.53/8.96 Inuse: 3731
% 8.53/8.96 Deleted: 543
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 353147
% 8.53/8.96 Kept: 69864
% 8.53/8.96 Inuse: 3766
% 8.53/8.96 Deleted: 543
% 8.53/8.96 Deletedinuse: 56
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96 Resimplifying inuse:
% 8.53/8.96 Done
% 8.53/8.96
% 8.53/8.96
% 8.53/8.96 Intermediate Status:
% 8.53/8.96 Generated: 363075
% 8.53/8.96 Kept: 71895
% 8.53/8.96 Inuse: 3797
% 8.53/8.96 Deleted: 543
% 15.82/16.28 Deletedinuse: 56
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 371716
% 15.82/16.28 Kept: 74112
% 15.82/16.28 Inuse: 3848
% 15.82/16.28 Deleted: 543
% 15.82/16.28 Deletedinuse: 56
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 384111
% 15.82/16.28 Kept: 76281
% 15.82/16.28 Inuse: 3933
% 15.82/16.28 Deleted: 544
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 394564
% 15.82/16.28 Kept: 78399
% 15.82/16.28 Inuse: 3964
% 15.82/16.28 Deleted: 544
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying clauses:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 408364
% 15.82/16.28 Kept: 80456
% 15.82/16.28 Inuse: 4019
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 420142
% 15.82/16.28 Kept: 82490
% 15.82/16.28 Inuse: 4087
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 437911
% 15.82/16.28 Kept: 84687
% 15.82/16.28 Inuse: 4234
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 450702
% 15.82/16.28 Kept: 86898
% 15.82/16.28 Inuse: 4354
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 458227
% 15.82/16.28 Kept: 88999
% 15.82/16.28 Inuse: 4437
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 464957
% 15.82/16.28 Kept: 91055
% 15.82/16.28 Inuse: 4466
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 474844
% 15.82/16.28 Kept: 93276
% 15.82/16.28 Inuse: 4487
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 487980
% 15.82/16.28 Kept: 95347
% 15.82/16.28 Inuse: 4608
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28 Resimplifying inuse:
% 15.82/16.28 Done
% 15.82/16.28
% 15.82/16.28
% 15.82/16.28 Intermediate Status:
% 15.82/16.28 Generated: 495576
% 15.82/16.28 Kept: 97437
% 15.82/16.28 Inuse: 4647
% 15.82/16.28 Deleted: 580
% 15.82/16.28 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 506536
% 15.82/16.29 Kept: 99482
% 15.82/16.29 Inuse: 4767
% 15.82/16.29 Deleted: 580
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying clauses:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 522512
% 15.82/16.29 Kept: 101711
% 15.82/16.29 Inuse: 4804
% 15.82/16.29 Deleted: 611
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 530990
% 15.82/16.29 Kept: 103746
% 15.82/16.29 Inuse: 4873
% 15.82/16.29 Deleted: 611
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 533909
% 15.82/16.29 Kept: 105752
% 15.82/16.29 Inuse: 4913
% 15.82/16.29 Deleted: 611
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 545289
% 15.82/16.29 Kept: 107837
% 15.82/16.29 Inuse: 4956
% 15.82/16.29 Deleted: 611
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 552150
% 15.82/16.29 Kept: 109906
% 15.82/16.29 Inuse: 5107
% 15.82/16.29 Deleted: 611
% 15.82/16.29 Deletedinuse: 57
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 571642
% 15.82/16.29 Kept: 111906
% 15.82/16.29 Inuse: 5269
% 15.82/16.29 Deleted: 612
% 15.82/16.29 Deletedinuse: 58
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 585957
% 15.82/16.29 Kept: 113907
% 15.82/16.29 Inuse: 5358
% 15.82/16.29 Deleted: 612
% 15.82/16.29 Deletedinuse: 58
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 596173
% 15.82/16.29 Kept: 115911
% 15.82/16.29 Inuse: 5457
% 15.82/16.29 Deleted: 612
% 15.82/16.29 Deletedinuse: 58
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 610363
% 15.82/16.29 Kept: 117966
% 15.82/16.29 Inuse: 5542
% 15.82/16.29 Deleted: 612
% 15.82/16.29 Deletedinuse: 58
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 620177
% 15.82/16.29 Kept: 120028
% 15.82/16.29 Inuse: 5607
% 15.82/16.29 Deleted: 612
% 15.82/16.29 Deletedinuse: 58
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying clauses:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29 Resimplifying inuse:
% 15.82/16.29 Done
% 15.82/16.29
% 15.82/16.29
% 15.82/16.29 Intermediate Status:
% 15.82/16.29 Generated: 633604
% 15.82/16.29 Kept: 122232
% 16.31/16.78 Inuse: 5631
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 646531
% 16.31/16.78 Kept: 124453
% 16.31/16.78 Inuse: 5656
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 656087
% 16.31/16.78 Kept: 126746
% 16.31/16.78 Inuse: 5675
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 666344
% 16.31/16.78 Kept: 128880
% 16.31/16.78 Inuse: 5691
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 676384
% 16.31/16.78 Kept: 131053
% 16.31/16.78 Inuse: 5712
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 679535
% 16.31/16.78 Kept: 133148
% 16.31/16.78 Inuse: 5728
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 686457
% 16.31/16.78 Kept: 135308
% 16.31/16.78 Inuse: 5761
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 703113
% 16.31/16.78 Kept: 137558
% 16.31/16.78 Inuse: 5799
% 16.31/16.78 Deleted: 680
% 16.31/16.78 Deletedinuse: 58
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 708962
% 16.31/16.78 Kept: 139643
% 16.31/16.78 Inuse: 5823
% 16.31/16.78 Deleted: 681
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying clauses:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 720997
% 16.31/16.78 Kept: 141719
% 16.31/16.78 Inuse: 5853
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 735752
% 16.31/16.78 Kept: 143893
% 16.31/16.78 Inuse: 5877
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 741210
% 16.31/16.78 Kept: 146047
% 16.31/16.78 Inuse: 5893
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 748565
% 16.31/16.78 Kept: 148255
% 16.31/16.78 Inuse: 5955
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 753153
% 16.31/16.78 Kept: 150309
% 16.31/16.78 Inuse: 5990
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 761175
% 16.31/16.78 Kept: 152312
% 16.31/16.78 Inuse: 6050
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 773261
% 16.31/16.78 Kept: 154526
% 16.31/16.78 Inuse: 6110
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 786416
% 16.31/16.78 Kept: 156915
% 16.31/16.78 Inuse: 6164
% 16.31/16.78 Deleted: 724
% 16.31/16.78 Deletedinuse: 59
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 800420
% 16.31/16.78 Kept: 159064
% 16.31/16.78 Inuse: 6254
% 16.31/16.78 Deleted: 726
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying clauses:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 805765
% 16.31/16.78 Kept: 161221
% 16.31/16.78 Inuse: 6273
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 819027
% 16.31/16.78 Kept: 163335
% 16.31/16.78 Inuse: 6313
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 829340
% 16.31/16.78 Kept: 165768
% 16.31/16.78 Inuse: 6361
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 836267
% 16.31/16.78 Kept: 168164
% 16.31/16.78 Inuse: 6376
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 843122
% 16.31/16.78 Kept: 170164
% 16.31/16.78 Inuse: 6394
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 848855
% 16.31/16.78 Kept: 172406
% 16.31/16.78 Inuse: 6424
% 16.31/16.78 Deleted: 758
% 16.31/16.78 Deletedinuse: 61
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 Intermediate Status:
% 16.31/16.78 Generated: 854764
% 16.31/16.78 Kept: 174712
% 16.31/16.78 Inuse: 6484
% 16.31/16.78 Deleted: 759
% 16.31/16.78 Deletedinuse: 62
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78 Done
% 16.31/16.78
% 16.31/16.78 Resimplifying inuse:
% 16.31/16.78
% 16.31/16.78 Bliksems!, er is een bewijs:
% 16.31/16.78 % SZS status Unsatisfiable
% 16.31/16.78 % SZS output start Refutation
% 16.31/16.78
% 16.31/16.78 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 16.31/16.78 ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies( x,
% 16.31/16.78 not( y ) ) ) ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 16.31/16.78 implies( not( X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 .
% 16.31/16.78 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 16.31/16.78 not( X ), X ), Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 16.31/16.78 , implies( X, Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 16.31/16.78 X ), Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 16.31/16.78 implies( X, X ) ), Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 16.31/16.78 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 16.31/16.78 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 16.31/16.78 implies( Z, X ), T ) ), U ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 16.31/16.78 Y ), Z ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 16.31/16.78 , implies( X, Z ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 16.31/16.78 , Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 16.31/16.78 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 16.31/16.78 implies( Z, Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 16.31/16.78 ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 16.31/16.78 ), Z ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 16.31/16.78 ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 16.31/16.78 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 16.31/16.78 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 16.31/16.78 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 16.31/16.78 ), X ), X ), Y ), Y ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 16.31/16.78 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 16.31/16.78 ), implies( X, Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 16.31/16.78 implies( Y, X ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, X ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4840, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 16.31/16.78 ) ), T ), implies( not( X ), T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 16.31/16.78 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( not( X ) ), X ), Y ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 16.31/16.78 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 16.31/16.78 ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 16.31/16.78 , Y ), Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 168840, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 16.31/16.78 Y, not( X ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 169134, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 175556, [ 'is_a_theorem'( implies( X, implies( Y, not( implies( X,
% 16.31/16.78 not( Y ) ) ) ) ) ) ] )
% 16.31/16.78 .
% 16.31/16.78 clause( 175779, [] )
% 16.31/16.78 .
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 % SZS output end Refutation
% 16.31/16.78 found a proof!
% 16.31/16.78
% 16.31/16.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 16.31/16.78
% 16.31/16.78 initialclauses(
% 16.31/16.78 [ clause( 175781, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 16.31/16.78 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , clause( 175782, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 175783, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 16.31/16.78 ] )
% 16.31/16.78 , clause( 175784, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 16.31/16.78 ] )
% 16.31/16.78 , clause( 175785, [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies(
% 16.31/16.78 x, not( y ) ) ) ) ) ) ) ] )
% 16.31/16.78 ] ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 16.31/16.78 ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , clause( 175781, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 16.31/16.78 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 175782, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 16.31/16.78 , clause( 175783, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 16.31/16.78 ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 175784, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 16.31/16.78 ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies( x,
% 16.31/16.78 not( y ) ) ) ) ) ) ) ] )
% 16.31/16.78 , clause( 175785, [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies(
% 16.31/16.78 x, not( y ) ) ) ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175787, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 16.31/16.78 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 16.31/16.78 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 175787, [ ~( 'is_a_theorem'( implies( implies( implies( not( X )
% 16.31/16.78 , X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 16.31/16.78 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175789, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 16.31/16.78 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 16.31/16.78 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 16.31/16.78 implies( not( X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175789, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 16.31/16.78 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175791, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 16.31/16.78 ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 16.31/16.78 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 16.31/16.78 ), :=( Y, Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , clause( 175791, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 16.31/16.78 ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175792, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( not( X ), X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 16.31/16.78 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 16.31/16.78 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 16.31/16.78 not( X ), X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 175792, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( not( X ), X ), Y ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175794, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( not( X ), X ), Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 16.31/16.78 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 16.31/16.78 :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175794, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175795, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 16.31/16.78 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 16.31/16.78 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 16.31/16.78 , implies( X, Z ) ) ) ] )
% 16.31/16.78 , clause( 175795, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 16.31/16.78 ), Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175796, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 16.31/16.78 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 16.31/16.78 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 16.31/16.78 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 16.31/16.78 ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , clause( 175796, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 16.31/16.78 Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175797, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 16.31/16.78 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 16.31/16.78 , clause( 175797, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175799, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 16.31/16.78 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 16.31/16.78 :=( Y, Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175799, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175801, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 16.31/16.78 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 16.31/16.78 substitution( 1, [ :=( X, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 16.31/16.78 X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 175801, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 16.31/16.78 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 16.31/16.78 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175802, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 16.31/16.78 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 16.31/16.78 ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 16.31/16.78 , clause( 175802, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) )
% 16.31/16.78 ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175804, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 16.31/16.78 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 16.31/16.78 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 16.31/16.78 implies( X, X ) ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175804, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 16.31/16.78 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175805, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 16.31/16.78 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 16.31/16.78 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 16.31/16.78 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 16.31/16.78 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 16.31/16.78 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175805, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 16.31/16.78 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175806, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 16.31/16.78 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 16.31/16.78 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 16.31/16.78 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 16.31/16.78 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 16.31/16.78 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 , clause( 175806, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175808, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 16.31/16.78 , U ) ) ), 'is_a_theorem'( U ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 16.31/16.78 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 16.31/16.78 ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 16.31/16.78 implies( Z, X ), T ) ), U ) ) ) ] )
% 16.31/16.78 , clause( 175808, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 16.31/16.78 , U ) ) ), 'is_a_theorem'( U ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.31/16.78 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175810, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 16.31/16.78 ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 16.31/16.78 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 16.31/16.78 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 16.31/16.78 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 16.31/16.78 Y ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175810, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 16.31/16.78 ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175811, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 16.31/16.78 Y, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 16.31/16.78 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 16.31/16.78 implies( Y, implies( X, Z ) ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 16.31/16.78 , implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 175811, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 16.31/16.78 implies( Y, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175812, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 16.31/16.78 ), Z ) ) ) ] )
% 16.31/16.78 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 16.31/16.78 implies( Y, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 16.31/16.78 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 16.31/16.78 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 16.31/16.78 , Z ) ) ) ] )
% 16.31/16.78 , clause( 175812, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 16.31/16.78 ) ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175814, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 16.31/16.78 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 16.31/16.78 implies( Y, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 16.31/16.78 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 16.31/16.78 :=( Y, Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175814, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 16.31/16.78 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175816, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 16.31/16.78 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 16.31/16.78 ) ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 16.31/16.78 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 16.31/16.78 Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175816, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 16.31/16.78 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175817, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 16.31/16.78 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 16.31/16.78 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 16.31/16.78 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 16.31/16.78 Y ) ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 16.31/16.78 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 16.31/16.78 , clause( 175817, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 16.31/16.78 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175818, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 16.31/16.78 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 16.31/16.78 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 16.31/16.78 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 16.31/16.78 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 16.31/16.78 , clause( 175818, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175820, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 16.31/16.78 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 16.31/16.78 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175820, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 16.31/16.78 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175821, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 16.31/16.78 implies( Z, Y ) ) ) ] )
% 16.31/16.78 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( Y, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 16.31/16.78 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 16.31/16.78 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 16.31/16.78 implies( Z, Y ) ) ) ] )
% 16.31/16.78 , clause( 175821, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 16.31/16.78 , implies( Z, Y ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175823, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 16.31/16.78 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 16.31/16.78 , implies( Z, Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 16.31/16.78 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 16.31/16.78 , Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175823, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 X, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175824, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 16.31/16.78 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 16.31/16.78 , implies( X, Y ) ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 , clause( 175824, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175825, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 16.31/16.78 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 16.31/16.78 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 16.31/16.78 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175825, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175827, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 16.31/16.78 Y, Y ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175827, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 16.31/16.78 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175828, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 16.31/16.78 ) ) ] )
% 16.31/16.78 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 16.31/16.78 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 16.31/16.78 Z, Y ), :=( T, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 16.31/16.78 ) ] )
% 16.31/16.78 , clause( 175828, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 16.31/16.78 , Y ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175830, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 16.31/16.78 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 16.31/16.78 , Y ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 16.31/16.78 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175830, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 X, X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175831, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 16.31/16.78 , Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 16.31/16.78 implies( X, Y ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 16.31/16.78 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 16.31/16.78 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 16.31/16.78 ), Z ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175831, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 Y, Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175833, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 16.31/16.78 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 Y, Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 16.31/16.78 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 16.31/16.78 ), :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175833, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 16.31/16.78 implies( implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175834, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 16.31/16.78 , Z ) ) ) ) ] )
% 16.31/16.78 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 16.31/16.78 , Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 16.31/16.78 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 16.31/16.78 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 16.31/16.78 ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 16.31/16.78 ) ) ) ) ] )
% 16.31/16.78 , clause( 175834, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 16.31/16.78 ), Z ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175836, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 16.31/16.78 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 16.31/16.78 ), Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 16.31/16.78 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 16.31/16.78 , Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175836, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 16.31/16.78 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175837, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 16.31/16.78 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 16.31/16.78 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 16.31/16.78 ) ) ), :=( Z, T )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 16.31/16.78 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 16.31/16.78 , clause( 175837, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175838, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 16.31/16.78 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 16.31/16.78 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 16.31/16.78 implies( Z, X ), T ) ), U ) ) ) ] )
% 16.31/16.78 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 16.31/16.78 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 16.31/16.78 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 16.31/16.78 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 16.31/16.78 ) ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 16.31/16.78 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 16.31/16.78 , clause( 175838, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 16.31/16.78 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175839, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 16.31/16.78 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 16.31/16.78 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 16.31/16.78 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 16.31/16.78 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 16.31/16.78 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 16.31/16.78 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , clause( 175839, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 16.31/16.78 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175840, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 16.31/16.78 Y ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 16.31/16.78 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 16.31/16.78 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 16.31/16.78 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175840, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175841, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 16.31/16.78 X ), X ), X ), Y ), Y ) ) ] )
% 16.31/16.78 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 16.31/16.78 Y ), Z ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 16.31/16.78 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 16.31/16.78 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 16.31/16.78 ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 16.31/16.78 ), X ), X ), Y ), Y ) ) ] )
% 16.31/16.78 , clause( 175841, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 16.31/16.78 X ), X ), X ), Y ), Y ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175843, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 not( X ), X ), X ), Y ), Y ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 16.31/16.78 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 16.31/16.78 :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175843, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 16.31/16.78 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175844, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 16.31/16.78 , Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 16.31/16.78 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 16.31/16.78 ) ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( X ) ) ),
% 16.31/16.78 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 16.31/16.78 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 16.31/16.78 , clause( 175844, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175845, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 16.31/16.78 ) ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 16.31/16.78 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 16.31/16.78 ), :=( T, implies( X, Y ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 16.31/16.78 ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , clause( 175845, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 16.31/16.78 , Y ) ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175847, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 16.31/16.78 , Y ) ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 16.31/16.78 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 16.31/16.78 :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175847, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 16.31/16.78 implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 16.31/16.78 ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175848, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 16.31/16.78 implies( Y, X ) ) ) ] )
% 16.31/16.78 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 16.31/16.78 not( X ), not( Y ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X, Y
% 16.31/16.78 ), :=( Y, not( X ) ), :=( Z, X ), :=( T, implies( Y, X ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 16.31/16.78 implies( Y, X ) ) ) ] )
% 16.31/16.78 , clause( 175848, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 16.31/16.78 , implies( Y, X ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175849, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 16.31/16.78 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 16.31/16.78 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 16.31/16.78 :=( T, implies( Y, X ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 16.31/16.78 , clause( 175849, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175851, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 16.31/16.78 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 16.31/16.78 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 16.31/16.78 , implies( Y, X ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175851, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 16.31/16.78 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175853, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 16.31/16.78 not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 16.31/16.78 , implies( Y, X ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), not( Y ) ),
% 16.31/16.78 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 16.31/16.78 , Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4840, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175853, [ ~( 'is_a_theorem'( implies( implies( implies( not( X )
% 16.31/16.78 , not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175854, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( Y, X ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 16.31/16.78 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 16.31/16.78 :=( T, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175854, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175855, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 16.31/16.78 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 16.31/16.78 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 16.31/16.78 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 16.31/16.78 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 , clause( 175855, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175856, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 16.31/16.78 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 16.31/16.78 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 16.31/16.78 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 16.31/16.78 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 16.31/16.78 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 16.31/16.78 implies( Y, Z ) ) ), :=( T, T )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 16.31/16.78 ) ), T ), implies( not( X ), T ) ) ) ] )
% 16.31/16.78 , clause( 175856, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175857, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 16.31/16.78 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 16.31/16.78 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 16.31/16.78 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies( X, T
% 16.31/16.78 ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, implies(
% 16.31/16.78 implies( X, Y ), implies( Z, Y ) ) ), :=( T, T )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 16.31/16.78 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 16.31/16.78 , clause( 175857, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 16.31/16.78 Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175858, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 16.31/16.78 )
% 16.31/16.78 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 16.31/16.78 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 16.31/16.78 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 16.31/16.78 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , clause( 175858, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 16.31/16.78 ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175860, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 16.31/16.78 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 16.31/16.78 ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 16.31/16.78 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175860, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 16.31/16.78 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175861, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 16.31/16.78 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 16.31/16.78 , Y ) ), implies( X, Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 16.31/16.78 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 16.31/16.78 , X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 16.31/16.78 , clause( 175861, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175863, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 16.31/16.78 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 16.31/16.78 , substitution( 1, [ :=( X, X )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( not( X ) ), X ), Y ) ) ) ] )
% 16.31/16.78 , clause( 175863, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 16.31/16.78 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 16.31/16.78 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175864, [ 'is_a_theorem'( implies( implies( implies( not( not( X )
% 16.31/16.78 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 not( not( X ) ), X ), Y ) ) ) ] )
% 16.31/16.78 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( implies( not(
% 16.31/16.78 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 16.31/16.78 T, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 16.31/16.78 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175864, [ 'is_a_theorem'( implies( implies( implies( not( not( X
% 16.31/16.78 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175865, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 16.31/16.78 ) ) ] )
% 16.31/16.78 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 5879, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 16.31/16.78 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 16.31/16.78 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 16.31/16.78 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 16.31/16.78 ) )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 16.31/16.78 ) ) ] )
% 16.31/16.78 , clause( 175865, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 16.31/16.78 ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.31/16.78 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175867, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 16.31/16.78 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.31/16.78 , ~( 'is_a_theorem'( X ) ) ] )
% 16.31/16.78 , 2, clause( 26834, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 16.31/16.78 , Y ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 16.31/16.78 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , clause( 175867, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 16.31/16.78 implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 resolution(
% 16.31/16.78 clause( 175868, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 16.31/16.78 ), Y ), Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , clause( 26965, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.31/16.78 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 16.31/16.78 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 16.31/16.78 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 16.31/16.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 16.31/16.78 implies( implies( X, Y ), Y ), Z ), implies( X, Z ) ) )] ),
% 16.31/16.78 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) ),
% 16.31/16.78 :=( Z, Z )] )).
% 16.31/16.78
% 16.31/16.78
% 16.31/16.78 subsumption(
% 16.31/16.78 clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 16.31/16.78 , Y ), Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , clause( 175868, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 16.31/16.78 Y ), Y ), Z ), implies( X, Z ) ) ) ] )
% 16.31/16.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.31/16.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 resolution(
% 16.40/16.79 clause( 175869, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 16.40/16.79 Y, not( X ) ) ) ) ] )
% 16.40/16.79 , clause( 4840, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.40/16.79 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 16.40/16.79 , 1, clause( 6429, [ 'is_a_theorem'( implies( implies( implies( not( not( X
% 16.40/16.79 ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 16.40/16.79 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, implies(
% 16.40/16.79 implies( X, not( Y ) ), implies( Y, not( X ) ) ) )] ), substitution( 1, [
% 16.40/16.79 :=( X, X ), :=( Y, not( Y ) ), :=( Z, implies( Y, not( X ) ) )] )).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 subsumption(
% 16.40/16.79 clause( 168840, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 16.40/16.79 Y, not( X ) ) ) ) ] )
% 16.40/16.79 , clause( 175869, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 16.40/16.79 implies( Y, not( X ) ) ) ) ] )
% 16.40/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.40/16.79 )] ) ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 resolution(
% 16.40/16.79 clause( 175871, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 16.40/16.79 ), implies( Y, not( X ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.40/16.79 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 16.40/16.79 , ~( 'is_a_theorem'( X ) ) ] )
% 16.40/16.79 , 2, clause( 168840, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 16.40/16.79 implies( Y, not( X ) ) ) ) ] )
% 16.40/16.79 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 16.40/16.79 , not( X ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 16.40/16.79 )] )).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 subsumption(
% 16.40/16.79 clause( 169134, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 16.40/16.79 implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 16.40/16.79 , clause( 175871, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 16.40/16.79 ) ), implies( Y, not( X ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 16.40/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 16.40/16.79 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 resolution(
% 16.40/16.79 clause( 175872, [ 'is_a_theorem'( implies( X, implies( Y, not( implies( X,
% 16.40/16.79 not( Y ) ) ) ) ) ) ] )
% 16.40/16.79 , clause( 169134, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies(
% 16.40/16.79 implies( implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 16.40/16.79 , 1, clause( 28073, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 16.40/16.79 , Y ), Y ), Z ), implies( X, Z ) ) ) ] )
% 16.40/16.79 , 0, substitution( 0, [ :=( X, implies( X, not( Y ) ) ), :=( Y, Y ), :=( Z
% 16.40/16.79 , implies( X, implies( Y, not( implies( X, not( Y ) ) ) ) ) )] ),
% 16.40/16.79 substitution( 1, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, implies( Y, not(
% 16.40/16.79 implies( X, not( Y ) ) ) ) )] )).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 subsumption(
% 16.40/16.79 clause( 175556, [ 'is_a_theorem'( implies( X, implies( Y, not( implies( X,
% 16.40/16.79 not( Y ) ) ) ) ) ) ] )
% 16.40/16.79 , clause( 175872, [ 'is_a_theorem'( implies( X, implies( Y, not( implies( X
% 16.40/16.79 , not( Y ) ) ) ) ) ) ] )
% 16.40/16.79 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 16.40/16.79 )] ) ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 resolution(
% 16.40/16.79 clause( 175873, [] )
% 16.40/16.79 , clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, not( implies( x,
% 16.40/16.79 not( y ) ) ) ) ) ) ) ] )
% 16.40/16.79 , 0, clause( 175556, [ 'is_a_theorem'( implies( X, implies( Y, not( implies(
% 16.40/16.79 X, not( Y ) ) ) ) ) ) ] )
% 16.40/16.79 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 16.40/16.79 ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 subsumption(
% 16.40/16.79 clause( 175779, [] )
% 16.40/16.79 , clause( 175873, [] )
% 16.40/16.79 , substitution( 0, [] ), permutation( 0, [] ) ).
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 end.
% 16.40/16.79
% 16.40/16.79 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 16.40/16.79
% 16.40/16.79 Memory use:
% 16.40/16.79
% 16.40/16.79 space for terms: 4319868
% 16.40/16.79 space for clauses: 20193637
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 clauses generated: 861863
% 16.40/16.79 clauses kept: 175780
% 16.40/16.79 clauses selected: 6555
% 16.40/16.79 clauses deleted: 761
% 16.40/16.79 clauses inuse deleted: 64
% 16.40/16.79
% 16.40/16.79 subsentry: 760641
% 16.40/16.79 literals s-matched: 686845
% 16.40/16.79 literals matched: 686844
% 16.40/16.79 full subsumption: 0
% 16.40/16.79
% 16.40/16.79 checksum: 560185929
% 16.40/16.79
% 16.40/16.79
% 16.40/16.79 Bliksem ended
%------------------------------------------------------------------------------