TSTP Solution File: LCL389-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL389-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:53:14 EDT 2022
% Result : Unsatisfiable 23.02s 23.41s
% Output : Refutation 23.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL389-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 22:13:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.80/4.21 *** allocated 10000 integers for termspace/termends
% 3.80/4.21 *** allocated 10000 integers for clauses
% 3.80/4.21 *** allocated 10000 integers for justifications
% 3.80/4.21 Bliksem 1.12
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Automatic Strategy Selection
% 3.80/4.21
% 3.80/4.21 Clauses:
% 3.80/4.21 [
% 3.80/4.21 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.80/4.21 'is_a_theorem'( Y ) ],
% 3.80/4.21 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 3.80/4.21 implies( X, Z ) ) ) ) ],
% 3.80/4.21 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 3.80/4.21 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 3.80/4.21 [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not( z ) ) ),
% 3.80/4.21 implies( x, implies( z, not( y ) ) ) ) ) ) ]
% 3.80/4.21 ] .
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 percentage equality = 0.000000, percentage horn = 1.000000
% 3.80/4.21 This is a near-Horn, non-equality problem
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Options Used:
% 3.80/4.21
% 3.80/4.21 useres = 1
% 3.80/4.21 useparamod = 0
% 3.80/4.21 useeqrefl = 0
% 3.80/4.21 useeqfact = 0
% 3.80/4.21 usefactor = 1
% 3.80/4.21 usesimpsplitting = 0
% 3.80/4.21 usesimpdemod = 0
% 3.80/4.21 usesimpres = 4
% 3.80/4.21
% 3.80/4.21 resimpinuse = 1000
% 3.80/4.21 resimpclauses = 20000
% 3.80/4.21 substype = standard
% 3.80/4.21 backwardsubs = 1
% 3.80/4.21 selectoldest = 5
% 3.80/4.21
% 3.80/4.21 litorderings [0] = split
% 3.80/4.21 litorderings [1] = liftord
% 3.80/4.21
% 3.80/4.21 termordering = none
% 3.80/4.21
% 3.80/4.21 litapriori = 1
% 3.80/4.21 termapriori = 0
% 3.80/4.21 litaposteriori = 0
% 3.80/4.21 termaposteriori = 0
% 3.80/4.21 demodaposteriori = 0
% 3.80/4.21 ordereqreflfact = 0
% 3.80/4.21
% 3.80/4.21 litselect = negative
% 3.80/4.21
% 3.80/4.21 maxweight = 30000
% 3.80/4.21 maxdepth = 30000
% 3.80/4.21 maxlength = 115
% 3.80/4.21 maxnrvars = 195
% 3.80/4.21 excuselevel = 0
% 3.80/4.21 increasemaxweight = 0
% 3.80/4.21
% 3.80/4.21 maxselected = 10000000
% 3.80/4.21 maxnrclauses = 10000000
% 3.80/4.21
% 3.80/4.21 showgenerated = 0
% 3.80/4.21 showkept = 0
% 3.80/4.21 showselected = 0
% 3.80/4.21 showdeleted = 0
% 3.80/4.21 showresimp = 1
% 3.80/4.21 showstatus = 2000
% 3.80/4.21
% 3.80/4.21 prologoutput = 1
% 3.80/4.21 nrgoals = 5000000
% 3.80/4.21 totalproof = 1
% 3.80/4.21
% 3.80/4.21 Symbols occurring in the translation:
% 3.80/4.21
% 3.80/4.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.80/4.21 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 3.80/4.21 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 3.80/4.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.80/4.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.80/4.21 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.80/4.21 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.80/4.21 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.80/4.21 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.80/4.21 y [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.80/4.21 z [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Starting Search:
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 9342
% 3.80/4.21 Kept: 2041
% 3.80/4.21 Inuse: 393
% 3.80/4.21 Deleted: 40
% 3.80/4.21 Deletedinuse: 16
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 20832
% 3.80/4.21 Kept: 4052
% 3.80/4.21 Inuse: 595
% 3.80/4.21 Deleted: 65
% 3.80/4.21 Deletedinuse: 19
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 31061
% 3.80/4.21 Kept: 6096
% 3.80/4.21 Inuse: 735
% 3.80/4.21 Deleted: 77
% 3.80/4.21 Deletedinuse: 19
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 43420
% 3.80/4.21 Kept: 8137
% 3.80/4.21 Inuse: 885
% 3.80/4.21 Deleted: 89
% 3.80/4.21 Deletedinuse: 20
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 53123
% 3.80/4.21 Kept: 10163
% 3.80/4.21 Inuse: 1013
% 3.80/4.21 Deleted: 124
% 3.80/4.21 Deletedinuse: 49
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 62281
% 3.80/4.21 Kept: 12249
% 3.80/4.21 Inuse: 1138
% 3.80/4.21 Deleted: 138
% 3.80/4.21 Deletedinuse: 50
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 76027
% 3.80/4.21 Kept: 14332
% 3.80/4.21 Inuse: 1333
% 3.80/4.21 Deleted: 146
% 3.80/4.21 Deletedinuse: 51
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 82453
% 3.80/4.21 Kept: 16428
% 3.80/4.21 Inuse: 1464
% 3.80/4.21 Deleted: 154
% 3.80/4.21 Deletedinuse: 53
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 93183
% 3.80/4.21 Kept: 18488
% 3.80/4.21 Inuse: 1602
% 3.80/4.21 Deleted: 157
% 3.80/4.21 Deletedinuse: 53
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying clauses:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 104441
% 3.80/4.21 Kept: 20618
% 3.80/4.21 Inuse: 1676
% 3.80/4.21 Deleted: 317
% 3.80/4.21 Deletedinuse: 53
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21 Resimplifying inuse:
% 3.80/4.21 Done
% 3.80/4.21
% 3.80/4.21
% 3.80/4.21 Intermediate Status:
% 3.80/4.21 Generated: 113570
% 3.80/4.21 Kept: 22624
% 9.23/9.61 Inuse: 1784
% 9.23/9.61 Deleted: 317
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 121824
% 9.23/9.61 Kept: 24638
% 9.23/9.61 Inuse: 1844
% 9.23/9.61 Deleted: 317
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 132013
% 9.23/9.61 Kept: 26732
% 9.23/9.61 Inuse: 1913
% 9.23/9.61 Deleted: 318
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 143472
% 9.23/9.61 Kept: 28732
% 9.23/9.61 Inuse: 1993
% 9.23/9.61 Deleted: 318
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 150423
% 9.23/9.61 Kept: 30831
% 9.23/9.61 Inuse: 2067
% 9.23/9.61 Deleted: 318
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 160483
% 9.23/9.61 Kept: 32921
% 9.23/9.61 Inuse: 2152
% 9.23/9.61 Deleted: 318
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 171085
% 9.23/9.61 Kept: 34942
% 9.23/9.61 Inuse: 2247
% 9.23/9.61 Deleted: 318
% 9.23/9.61 Deletedinuse: 53
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 176525
% 9.23/9.61 Kept: 36992
% 9.23/9.61 Inuse: 2288
% 9.23/9.61 Deleted: 319
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 183207
% 9.23/9.61 Kept: 39130
% 9.23/9.61 Inuse: 2324
% 9.23/9.61 Deleted: 319
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying clauses:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 188389
% 9.23/9.61 Kept: 41146
% 9.23/9.61 Inuse: 2397
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 194091
% 9.23/9.61 Kept: 43164
% 9.23/9.61 Inuse: 2427
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 207754
% 9.23/9.61 Kept: 45250
% 9.23/9.61 Inuse: 2560
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 219433
% 9.23/9.61 Kept: 47396
% 9.23/9.61 Inuse: 2688
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 230790
% 9.23/9.61 Kept: 49416
% 9.23/9.61 Inuse: 2785
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 242347
% 9.23/9.61 Kept: 51534
% 9.23/9.61 Inuse: 2870
% 9.23/9.61 Deleted: 381
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 254480
% 9.23/9.61 Kept: 53535
% 9.23/9.61 Inuse: 3009
% 9.23/9.61 Deleted: 382
% 9.23/9.61 Deletedinuse: 54
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 264954
% 9.23/9.61 Kept: 55562
% 9.23/9.61 Inuse: 3117
% 9.23/9.61 Deleted: 384
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 279918
% 9.23/9.61 Kept: 57595
% 9.23/9.61 Inuse: 3264
% 9.23/9.61 Deleted: 384
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 289681
% 9.23/9.61 Kept: 59636
% 9.23/9.61 Inuse: 3287
% 9.23/9.61 Deleted: 384
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying clauses:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 303652
% 9.23/9.61 Kept: 61777
% 9.23/9.61 Inuse: 3332
% 9.23/9.61 Deleted: 459
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 314780
% 9.23/9.61 Kept: 64029
% 9.23/9.61 Inuse: 3365
% 9.23/9.61 Deleted: 459
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 327074
% 9.23/9.61 Kept: 66155
% 9.23/9.61 Inuse: 3407
% 9.23/9.61 Deleted: 459
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 346809
% 9.23/9.61 Kept: 68167
% 9.23/9.61 Inuse: 3529
% 9.23/9.61 Deleted: 459
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 9.23/9.61 Generated: 357317
% 9.23/9.61 Kept: 70247
% 9.23/9.61 Inuse: 3618
% 9.23/9.61 Deleted: 459
% 9.23/9.61 Deletedinuse: 56
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61 Resimplifying inuse:
% 9.23/9.61 Done
% 9.23/9.61
% 9.23/9.61
% 9.23/9.61 Intermediate Status:
% 18.74/19.20 Generated: 367167
% 18.74/19.20 Kept: 72247
% 18.74/19.20 Inuse: 3676
% 18.74/19.20 Deleted: 459
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 379066
% 18.74/19.20 Kept: 74659
% 18.74/19.20 Inuse: 3787
% 18.74/19.20 Deleted: 459
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 385150
% 18.74/19.20 Kept: 76886
% 18.74/19.20 Inuse: 3809
% 18.74/19.20 Deleted: 459
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 395479
% 18.74/19.20 Kept: 78953
% 18.74/19.20 Inuse: 3917
% 18.74/19.20 Deleted: 459
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying clauses:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 405675
% 18.74/19.20 Kept: 81032
% 18.74/19.20 Inuse: 4052
% 18.74/19.20 Deleted: 492
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 418874
% 18.74/19.20 Kept: 83101
% 18.74/19.20 Inuse: 4087
% 18.74/19.20 Deleted: 492
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 428471
% 18.74/19.20 Kept: 85293
% 18.74/19.20 Inuse: 4119
% 18.74/19.20 Deleted: 492
% 18.74/19.20 Deletedinuse: 56
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 435290
% 18.74/19.20 Kept: 87460
% 18.74/19.20 Inuse: 4168
% 18.74/19.20 Deleted: 493
% 18.74/19.20 Deletedinuse: 57
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 445834
% 18.74/19.20 Kept: 89751
% 18.74/19.20 Inuse: 4198
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 459263
% 18.74/19.20 Kept: 91824
% 18.74/19.20 Inuse: 4271
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 473896
% 18.74/19.20 Kept: 94057
% 18.74/19.20 Inuse: 4324
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 483726
% 18.74/19.20 Kept: 96322
% 18.74/19.20 Inuse: 4377
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 499163
% 18.74/19.20 Kept: 98410
% 18.74/19.20 Inuse: 4505
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 509899
% 18.74/19.20 Kept: 100558
% 18.74/19.20 Inuse: 4567
% 18.74/19.20 Deleted: 494
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying clauses:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 528213
% 18.74/19.20 Kept: 102729
% 18.74/19.20 Inuse: 4742
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 534735
% 18.74/19.20 Kept: 104755
% 18.74/19.20 Inuse: 4765
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 545377
% 18.74/19.20 Kept: 106755
% 18.74/19.20 Inuse: 4832
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 558464
% 18.74/19.20 Kept: 108810
% 18.74/19.20 Inuse: 4897
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 566695
% 18.74/19.20 Kept: 110919
% 18.74/19.20 Inuse: 4917
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 574335
% 18.74/19.20 Kept: 112927
% 18.74/19.20 Inuse: 4944
% 18.74/19.20 Deleted: 543
% 18.74/19.20 Deletedinuse: 58
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 581379
% 18.74/19.20 Kept: 115104
% 18.74/19.20 Inuse: 4972
% 18.74/19.20 Deleted: 544
% 18.74/19.20 Deletedinuse: 59
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 590948
% 18.74/19.20 Kept: 117475
% 18.74/19.20 Inuse: 5002
% 18.74/19.20 Deleted: 544
% 18.74/19.20 Deletedinuse: 59
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 599668
% 18.74/19.20 Kept: 119836
% 18.74/19.20 Inuse: 5027
% 18.74/19.20 Deleted: 546
% 18.74/19.20 Deletedinuse: 61
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying clauses:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 18.74/19.20
% 18.74/19.20
% 18.74/19.20 Intermediate Status:
% 18.74/19.20 Generated: 606973
% 18.74/19.20 Kept: 121840
% 18.74/19.20 Inuse: 5053
% 18.74/19.20 Deleted: 582
% 18.74/19.20 Deletedinuse: 61
% 18.74/19.20
% 18.74/19.20 Resimplifying inuse:
% 18.74/19.20 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 616661
% 23.02/23.41 Kept: 123859
% 23.02/23.41 Inuse: 5087
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 633582
% 23.02/23.41 Kept: 125923
% 23.02/23.41 Inuse: 5180
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 643243
% 23.02/23.41 Kept: 127988
% 23.02/23.41 Inuse: 5256
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 647980
% 23.02/23.41 Kept: 130170
% 23.02/23.41 Inuse: 5294
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 658720
% 23.02/23.41 Kept: 132229
% 23.02/23.41 Inuse: 5426
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 667150
% 23.02/23.41 Kept: 134232
% 23.02/23.41 Inuse: 5457
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 678825
% 23.02/23.41 Kept: 136388
% 23.02/23.41 Inuse: 5483
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 686791
% 23.02/23.41 Kept: 138479
% 23.02/23.41 Inuse: 5497
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 696786
% 23.02/23.41 Kept: 140483
% 23.02/23.41 Inuse: 5580
% 23.02/23.41 Deleted: 582
% 23.02/23.41 Deletedinuse: 61
% 23.02/23.41
% 23.02/23.41 Resimplifying clauses:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 700110
% 23.02/23.41 Kept: 142712
% 23.02/23.41 Inuse: 5603
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 702944
% 23.02/23.41 Kept: 144997
% 23.02/23.41 Inuse: 5619
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 712143
% 23.02/23.41 Kept: 146999
% 23.02/23.41 Inuse: 5682
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 723342
% 23.02/23.41 Kept: 149016
% 23.02/23.41 Inuse: 5727
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 737702
% 23.02/23.41 Kept: 151020
% 23.02/23.41 Inuse: 5807
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 744702
% 23.02/23.41 Kept: 153170
% 23.02/23.41 Inuse: 5879
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 757322
% 23.02/23.41 Kept: 155475
% 23.02/23.41 Inuse: 5908
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 765407
% 23.02/23.41 Kept: 157731
% 23.02/23.41 Inuse: 5924
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 779961
% 23.02/23.41 Kept: 159754
% 23.02/23.41 Inuse: 5964
% 23.02/23.41 Deleted: 622
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying clauses:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 795903
% 23.02/23.41 Kept: 161809
% 23.02/23.41 Inuse: 6036
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 809869
% 23.02/23.41 Kept: 163941
% 23.02/23.41 Inuse: 6073
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 817038
% 23.02/23.41 Kept: 166022
% 23.02/23.41 Inuse: 6115
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 824859
% 23.02/23.41 Kept: 168149
% 23.02/23.41 Inuse: 6132
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 833946
% 23.02/23.41 Kept: 170408
% 23.02/23.41 Inuse: 6166
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 841164
% 23.02/23.41 Kept: 172455
% 23.02/23.41 Inuse: 6184
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 847208
% 23.02/23.41 Kept: 174782
% 23.02/23.41 Inuse: 6213
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 854016
% 23.02/23.41 Kept: 176796
% 23.02/23.41 Inuse: 6259
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 857444
% 23.02/23.41 Kept: 178944
% 23.02/23.41 Inuse: 6283
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 861187
% 23.02/23.41 Kept: 180964
% 23.02/23.41 Inuse: 6301
% 23.02/23.41 Deleted: 714
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying clauses:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 866231
% 23.02/23.41 Kept: 182967
% 23.02/23.41 Inuse: 6328
% 23.02/23.41 Deleted: 736
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 883033
% 23.02/23.41 Kept: 185530
% 23.02/23.41 Inuse: 6417
% 23.02/23.41 Deleted: 736
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 897293
% 23.02/23.41 Kept: 187562
% 23.02/23.41 Inuse: 6499
% 23.02/23.41 Deleted: 736
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41 Done
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 Intermediate Status:
% 23.02/23.41 Generated: 910321
% 23.02/23.41 Kept: 189883
% 23.02/23.41 Inuse: 6546
% 23.02/23.41 Deleted: 736
% 23.02/23.41 Deletedinuse: 62
% 23.02/23.41
% 23.02/23.41 Resimplifying inuse:
% 23.02/23.41
% 23.02/23.41 Bliksems!, er is een bewijs:
% 23.02/23.41 % SZS status Unsatisfiable
% 23.02/23.41 % SZS output start Refutation
% 23.02/23.41
% 23.02/23.41 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 23.02/23.41 ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 23.02/23.41 , Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 4, [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not( z ) )
% 23.02/23.41 ), implies( x, implies( z, not( y ) ) ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 23.02/23.41 implies( not( X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 .
% 23.02/23.41 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 23.02/23.41 , implies( X, Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 not( X ), X ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 23.02/23.41 X ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 23.02/23.41 implies( X, X ) ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 23.02/23.41 implies( X, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 23.02/23.41 implies( Z, X ), T ) ), U ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 23.02/23.41 Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 23.02/23.41 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( Y, Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( Z, Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 23.02/23.41 ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 23.02/23.41 ), Z ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 23.02/23.41 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 23.02/23.41 ) ), U ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 23.02/23.41 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 23.02/23.41 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1378, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 23.02/23.41 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1404, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1432, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( implies( implies( X, Z ), T ), implies(
% 23.02/23.41 Y, T ) ) ), U ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 23.02/23.41 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 23.02/23.41 ), X ), X ), Y ), Y ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 23.02/23.41 ), implies( X, Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7567, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 23.02/23.41 implies( Y, X ), X ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( Y, X ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 23.02/23.41 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 23.02/23.41 ) ), T ), implies( not( X ), T ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( not( X ) ), X ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9661, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X ) )
% 23.02/23.41 ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 9877, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 23.02/23.41 ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 35298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 Z, X ), implies( Z, Y ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 122745, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( X, not( T ) ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 140546, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, not( X ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 140578, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 190641, [ 'is_a_theorem'( implies( implies( X, implies( Y, not( Z )
% 23.02/23.41 ) ), implies( X, implies( Z, not( Y ) ) ) ) ) ] )
% 23.02/23.41 .
% 23.02/23.41 clause( 190885, [] )
% 23.02/23.41 .
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 % SZS output end Refutation
% 23.02/23.41 found a proof!
% 23.02/23.41
% 23.02/23.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.02/23.41
% 23.02/23.41 initialclauses(
% 23.02/23.41 [ clause( 190887, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 23.02/23.41 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , clause( 190888, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190889, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 23.02/23.41 ] )
% 23.02/23.41 , clause( 190890, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 23.02/23.41 ] )
% 23.02/23.41 , clause( 190891, [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not(
% 23.02/23.41 z ) ) ), implies( x, implies( z, not( y ) ) ) ) ) ) ] )
% 23.02/23.41 ] ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 23.02/23.41 ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , clause( 190887, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 23.02/23.41 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 23.02/23.41 , Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190888, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 23.02/23.41 , clause( 190889, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 23.02/23.41 ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190890, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 23.02/23.41 ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 4, [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not( z ) )
% 23.02/23.41 ), implies( x, implies( z, not( y ) ) ) ) ) ) ] )
% 23.02/23.41 , clause( 190891, [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not(
% 23.02/23.41 z ) ) ), implies( x, implies( z, not( y ) ) ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190893, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 23.02/23.41 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 23.02/23.41 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190893, [ ~( 'is_a_theorem'( implies( implies( implies( not( X )
% 23.02/23.41 , X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.02/23.41 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190895, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 23.02/23.41 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 23.02/23.41 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 23.02/23.41 implies( not( X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190895, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 23.02/23.41 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190897, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 23.02/23.41 ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 23.02/23.41 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 23.02/23.41 ), :=( Y, Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , clause( 190897, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 23.02/23.41 ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190898, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 23.02/23.41 , Z ), implies( X, Z ) ) ) ] )
% 23.02/23.41 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 23.02/23.41 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 23.02/23.41 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 23.02/23.41 , implies( X, Z ) ) ) ] )
% 23.02/23.41 , clause( 190898, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 23.02/23.41 ), Z ), implies( X, Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190900, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 23.02/23.41 , Z ), implies( X, Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 23.02/23.41 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 23.02/23.41 :=( Y, Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190900, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190901, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 23.02/23.41 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 23.02/23.41 , Z ), implies( X, Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 23.02/23.41 , clause( 190901, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190902, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( not( X ), X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 23.02/23.41 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 23.02/23.41 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 not( X ), X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190902, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( not( X ), X ), Y ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190903, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 23.02/23.41 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 23.02/23.41 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 23.02/23.41 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 23.02/23.41 ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , clause( 190903, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 23.02/23.41 Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190905, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 23.02/23.41 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 23.02/23.41 substitution( 1, [ :=( X, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 23.02/23.41 X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190905, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 23.02/23.41 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.02/23.41 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190906, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 23.02/23.41 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 23.02/23.41 ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 23.02/23.41 , clause( 190906, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) )
% 23.02/23.41 ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190908, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 23.02/23.41 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 23.02/23.41 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 23.02/23.41 implies( X, X ) ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190908, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 23.02/23.41 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190910, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( not( X ), X ), Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 23.02/23.41 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 23.02/23.41 :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190910, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190911, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 23.02/23.41 implies( implies( X, Y ), Z ), implies( implies( implies( not( X ), T ),
% 23.02/23.41 Y ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( not( X ), T
% 23.02/23.41 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190911, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190912, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 23.02/23.41 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 23.02/23.41 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 23.02/23.41 implies( Y, implies( X, Z ) ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 23.02/23.41 implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190912, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 23.02/23.41 implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190913, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 23.02/23.41 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 23.02/23.41 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 23.02/23.41 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 23.02/23.41 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 23.02/23.41 , clause( 190913, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190915, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 23.02/23.41 , U ) ) ), 'is_a_theorem'( U ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 23.02/23.41 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 23.02/23.41 ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 23.02/23.41 implies( Z, X ), T ) ), U ) ) ) ] )
% 23.02/23.41 , clause( 190915, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 23.02/23.41 , U ) ) ), 'is_a_theorem'( U ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.02/23.41 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190916, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 23.02/23.41 ), Z ) ) ) ] )
% 23.02/23.41 , clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 23.02/23.41 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 23.02/23.41 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 23.02/23.41 Z ) ) ) ] )
% 23.02/23.41 , clause( 190916, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 23.02/23.41 ) ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190918, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 23.02/23.41 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 23.02/23.41 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 23.02/23.41 :=( Y, Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190918, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 23.02/23.41 ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190920, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 23.02/23.41 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 23.02/23.41 ) ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 23.02/23.41 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 23.02/23.41 Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190920, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 23.02/23.41 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190921, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 23.02/23.41 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 23.02/23.41 , clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 23.02/23.41 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 23.02/23.41 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 23.02/23.41 Y ) ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 23.02/23.41 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 23.02/23.41 , clause( 190921, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 23.02/23.41 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190922, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 23.02/23.41 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 23.02/23.41 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 23.02/23.41 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 23.02/23.41 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 23.02/23.41 , clause( 190922, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190924, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 23.02/23.41 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 23.02/23.41 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( Y, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190924, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 23.02/23.41 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190925, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( Z, Y ) ) ) ] )
% 23.02/23.41 , clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( Y, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 23.02/23.41 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 23.02/23.41 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( Z, Y ) ) ) ] )
% 23.02/23.41 , clause( 190925, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , implies( Z, Y ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190927, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 23.02/23.41 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , implies( Z, Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 23.02/23.41 , Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190927, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 X, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190928, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 23.02/23.41 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 23.02/23.41 , implies( X, Y ) ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 , clause( 190928, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 23.02/23.41 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 23.02/23.41 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 23.02/23.41 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190931, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 23.02/23.41 Y, Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190931, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 23.02/23.41 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190932, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 23.02/23.41 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, implies(
% 23.02/23.41 implies( Y, Z ), implies( T, Z ) ) ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190932, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190933, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 23.02/23.41 ) ) ] )
% 23.02/23.41 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 23.02/23.41 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 23.02/23.41 Z, Y ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 23.02/23.41 ) ] )
% 23.02/23.41 , clause( 190933, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , Y ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190935, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 23.02/23.41 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , Y ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 23.02/23.41 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190935, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 X, X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190936, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 23.02/23.41 , Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 23.02/23.41 implies( X, Y ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 23.02/23.41 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 23.02/23.41 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 23.02/23.41 ), Z ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190936, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 Y, Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190938, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 23.02/23.41 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 Y, Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 23.02/23.41 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 23.02/23.41 ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190938, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 23.02/23.41 implies( implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190939, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 23.02/23.41 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 23.02/23.41 , clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, implies( implies(
% 23.02/23.41 implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( not( X ), X ), X
% 23.02/23.41 ) ), :=( Z, Y ), :=( T, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 23.02/23.41 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 23.02/23.41 , clause( 190939, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 23.02/23.41 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190941, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 23.02/23.41 , X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 23.02/23.41 'is_a_theorem'( U ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 23.02/23.41 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 23.02/23.41 implies( implies( Y, Z ), implies( T, Z ) ) ) ), :=( Y, U )] ),
% 23.02/23.41 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 23.02/23.41 ) ), U ) ) ) ] )
% 23.02/23.41 , clause( 190941, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 X, X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 23.02/23.41 'is_a_theorem'( U ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.02/23.41 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190943, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 23.02/23.41 'is_a_theorem'( T ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 23.02/23.41 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 23.02/23.41 , X ), X ), Y ), implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [
% 23.02/23.41 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 , clause( 190943, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 23.02/23.41 'is_a_theorem'( T ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190944, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 23.02/23.41 , Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 23.02/23.41 implies( implies( not( X ), Y ), Z ), implies( implies( Z, T ), implies(
% 23.02/23.41 X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 23.02/23.41 implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 23.02/23.41 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 23.02/23.41 , clause( 190944, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 23.02/23.41 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190945, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 23.02/23.41 , clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 23.02/23.41 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 23.02/23.41 implies( implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y,
% 23.02/23.41 T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X
% 23.02/23.41 , implies( not( Y ), Z ) ) ), :=( T, T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 23.02/23.41 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 23.02/23.41 , clause( 190945, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190946, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 , clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 23.02/23.41 implies( Z, X ), T ) ), U ) ) ) ] )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 23.02/23.41 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 23.02/23.41 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 23.02/23.41 ) ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 , clause( 190946, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 23.02/23.41 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190947, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 23.02/23.41 , Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 23.02/23.41 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 23.02/23.41 ) ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( X ) ) ),
% 23.02/23.41 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1378, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 23.02/23.41 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 23.02/23.41 , clause( 190947, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190948, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 1378, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Z ) ), :=( Z, T ),
% 23.02/23.41 :=( T, implies( implies( X, not( Y ) ), implies( implies( implies( X, Z )
% 23.02/23.41 , T ), implies( Y, T ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X
% 23.02/23.41 ), :=( Z, Z ), :=( T, implies( implies( implies( X, Z ), T ), implies( Y
% 23.02/23.41 , T ) ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1404, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , clause( 190948, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 23.02/23.41 implies( implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190950, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 23.02/23.41 ), implies( implies( implies( X, Z ), T ), implies( Y, T ) ) ), U ) ) )
% 23.02/23.41 , 'is_a_theorem'( U ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 1404, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 23.02/23.41 implies( implies( implies( X, Z ), T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( Y, T ) ) ) ), :=( Y, U )] ),
% 23.02/23.41 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1432, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( implies( implies( X, Z ), T ), implies(
% 23.02/23.41 Y, T ) ) ), U ) ) ) ] )
% 23.02/23.41 , clause( 190950, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 23.02/23.41 ) ), implies( implies( implies( X, Z ), T ), implies( Y, T ) ) ), U ) )
% 23.02/23.41 ), 'is_a_theorem'( U ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 23.02/23.41 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190951, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 23.02/23.41 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 23.02/23.41 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 23.02/23.41 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 23.02/23.41 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 23.02/23.41 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 23.02/23.41 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190951, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 23.02/23.41 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190952, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 , 1, clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 23.02/23.41 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( T, T ) ),
% 23.02/23.41 :=( T, implies( X, implies( implies( implies( implies( not( Y ), Y ), Y )
% 23.02/23.41 , Z ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies(
% 23.02/23.41 not( Y ), Y ), Y ), Z ) ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190952, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190953, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 23.02/23.41 X ), X ), X ), Y ), Y ) ) ] )
% 23.02/23.41 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 , 1, clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 23.02/23.41 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 23.02/23.41 ), Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 23.02/23.41 ), X ), X ), Y ), Y ) ) ] )
% 23.02/23.41 , clause( 190953, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 23.02/23.41 X ), X ), X ), Y ), Y ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190955, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 not( X ), X ), X ), Y ), Y ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 23.02/23.41 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 23.02/23.41 :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190955, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 23.02/23.41 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190956, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 23.02/23.41 ) ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 23.02/23.41 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 23.02/23.41 ), :=( T, implies( X, Y ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 23.02/23.41 ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , clause( 190956, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 23.02/23.41 , Y ) ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190958, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 23.02/23.41 , Y ) ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 23.02/23.41 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 23.02/23.41 :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190958, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 23.02/23.41 implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 23.02/23.41 ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190959, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 23.02/23.41 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 23.02/23.41 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 23.02/23.41 :=( T, implies( Y, X ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 23.02/23.41 , clause( 190959, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190960, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 23.02/23.41 implies( Y, X ), X ) ) ) ] )
% 23.02/23.41 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, X ), :=( Z,
% 23.02/23.41 implies( implies( not( X ), Y ), implies( implies( Y, X ), X ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, not( X ) ), :=( T,
% 23.02/23.41 implies( implies( Y, X ), X ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7567, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 23.02/23.41 implies( Y, X ), X ) ) ) ] )
% 23.02/23.41 , clause( 190960, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 23.02/23.41 implies( implies( Y, X ), X ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190962, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 23.02/23.41 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 23.02/23.41 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 23.02/23.41 , implies( Y, X ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190962, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 23.02/23.41 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190963, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( Y, X ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 23.02/23.41 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 23.02/23.41 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 23.02/23.41 :=( T, Z )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190963, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190964, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 23.02/23.41 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 23.02/23.41 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 23.02/23.41 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , clause( 190964, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190965, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 23.02/23.41 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 23.02/23.41 , clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 23.02/23.41 ) ), U ) ) ) ] )
% 23.02/23.41 , 1, clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 23.02/23.41 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T )
% 23.02/23.41 , implies( X, T ) ) )] ), substitution( 1, [ :=( X, implies( U, U ) ),
% 23.02/23.41 :=( Y, X ), :=( Z, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( T,
% 23.02/23.41 T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 23.02/23.41 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 23.02/23.41 , clause( 190965, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 23.02/23.41 Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190966, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 23.02/23.41 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 23.02/23.41 , clause( 101, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 23.02/23.41 , 1, clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 23.02/23.41 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 23.02/23.41 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 23.02/23.41 implies( Y, Z ) ) ), :=( T, T )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 23.02/23.41 ) ), T ), implies( not( X ), T ) ) ) ] )
% 23.02/23.41 , clause( 190966, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190967, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 9054, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 23.02/23.41 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 23.02/23.41 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 23.02/23.41 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , clause( 190967, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 23.02/23.41 ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190969, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 23.02/23.41 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 9063, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 23.02/23.41 ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 23.02/23.41 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190969, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 23.02/23.41 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190970, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 23.02/23.41 , clause( 9087, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 23.02/23.41 , Y ) ), implies( X, Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 23.02/23.41 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 23.02/23.41 , X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 23.02/23.41 , clause( 190970, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190972, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 23.02/23.41 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 9109, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 23.02/23.41 , substitution( 1, [ :=( X, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( not( X ) ), X ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190972, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 23.02/23.41 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.02/23.41 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190973, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X )
% 23.02/23.41 ) ) ] )
% 23.02/23.41 , clause( 9197, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 not( not( X ) ), X ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 7567, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 23.02/23.41 implies( implies( Y, X ), X ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, not( X ) )
% 23.02/23.41 , not( X ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y, X )] )
% 23.02/23.41 ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9661, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X ) )
% 23.02/23.41 ) ] )
% 23.02/23.41 , clause( 190973, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not( X
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190975, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( X )
% 23.02/23.41 ), not( X ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 9661, [ 'is_a_theorem'( implies( implies( X, not( X ) ), not(
% 23.02/23.41 X ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, not( X ) ), not( X ) )
% 23.02/23.41 ), :=( Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 9877, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 23.02/23.41 , clause( 190975, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( X
% 23.02/23.41 ) ), not( X ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 23.02/23.41 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190976, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 23.02/23.41 ) ) ] )
% 23.02/23.41 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 23.02/23.41 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 23.02/23.41 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 23.02/23.41 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 23.02/23.41 ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 23.02/23.41 ) ) ] )
% 23.02/23.41 , clause( 190976, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 23.02/23.41 ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190978, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 23.02/23.41 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 23.02/23.41 , Y ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 23.02/23.41 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190978, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 23.02/23.41 implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190979, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 23.02/23.41 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 23.02/23.41 , implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ), substitution(
% 23.02/23.41 1, [ :=( X, Y ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 23.02/23.41 implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190979, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 23.02/23.41 , implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190980, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 23.02/23.41 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 23.02/23.41 )
% 23.02/23.41 , 1, clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 23.02/23.41 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 23.02/23.41 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, implies( Z, X ) ), :=( Y, implies( X, Y ) ),
% 23.02/23.41 :=( Z, implies( Z, Y ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 35298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 23.02/23.41 Z, X ), implies( Z, Y ) ) ) ) ] )
% 23.02/23.41 , clause( 190980, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190981, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( X, not( T ) ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 1432, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( implies( implies( X, Z ), T ), implies(
% 23.02/23.41 Y, T ) ) ), U ) ) ) ] )
% 23.02/23.41 , 1, clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 23.02/23.41 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z ),
% 23.02/23.41 :=( U, implies( implies( implies( X, Y ), Z ), implies( implies( X, not(
% 23.02/23.41 T ) ), implies( T, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( X,
% 23.02/23.41 not( T ) ) ), :=( Y, implies( implies( X, Y ), Z ) ), :=( Z, implies( T,
% 23.02/23.41 Z ) )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 122745, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 23.02/23.41 implies( implies( X, not( T ) ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , clause( 190981, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 23.02/23.41 , implies( implies( X, not( T ) ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190982, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, not( X ) ) ) ) ] )
% 23.02/23.41 , clause( 9877, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( X ) ), not( X ) ), Y ) ) ) ] )
% 23.02/23.41 , 1, clause( 122745, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 23.02/23.41 ), implies( implies( X, not( T ) ), implies( T, Z ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, not( Y ) )
% 23.02/23.41 , implies( Y, not( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 23.02/23.41 not( X ) ), :=( Z, not( X ) ), :=( T, Y )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 140546, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 23.02/23.41 Y, not( X ) ) ) ) ] )
% 23.02/23.41 , clause( 190982, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 23.02/23.41 implies( Y, not( X ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 23.02/23.41 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190984, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 23.02/23.41 ), implies( Y, not( X ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 23.02/23.41 , ~( 'is_a_theorem'( X ) ) ] )
% 23.02/23.41 , 2, clause( 140546, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 23.02/23.41 implies( Y, not( X ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 23.02/23.41 , not( X ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 23.02/23.41 )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 140578, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 23.02/23.41 implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 23.02/23.41 , clause( 190984, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y
% 23.02/23.41 ) ), implies( Y, not( X ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190985, [ 'is_a_theorem'( implies( implies( X, implies( Y, not( Z )
% 23.02/23.41 ) ), implies( X, implies( Z, not( Y ) ) ) ) ) ] )
% 23.02/23.41 , clause( 140578, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies(
% 23.02/23.41 implies( implies( X, not( Y ) ), implies( Y, not( X ) ) ), Z ) ) ) ] )
% 23.02/23.41 , 1, clause( 35298, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 23.02/23.41 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 23.02/23.41 , implies( Y, not( Z ) ) ), implies( X, implies( Z, not( Y ) ) ) ) )] ),
% 23.02/23.41 substitution( 1, [ :=( X, implies( Y, not( Z ) ) ), :=( Y, implies( Z,
% 23.02/23.41 not( Y ) ) ), :=( Z, X )] )).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 subsumption(
% 23.02/23.41 clause( 190641, [ 'is_a_theorem'( implies( implies( X, implies( Y, not( Z )
% 23.02/23.41 ) ), implies( X, implies( Z, not( Y ) ) ) ) ) ] )
% 23.02/23.41 , clause( 190985, [ 'is_a_theorem'( implies( implies( X, implies( Y, not( Z
% 23.02/23.41 ) ) ), implies( X, implies( Z, not( Y ) ) ) ) ) ] )
% 23.02/23.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 23.02/23.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.02/23.41
% 23.02/23.41
% 23.02/23.41 resolution(
% 23.02/23.41 clause( 190986, [] )
% 23.02/23.41 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( x, implies( y, not( z )
% 23.02/23.41 ) ), implies( x, implies( z, not( y ) ) ) ) ) ) ] )
% 23.02/23.41 , 0, clause( 190641, [ 'is_a_theorem'( implies( implies( X, implies( Y, not(
% 23.02/23.41 Z ) ) ), implies( X, implies( Z, not( Y ) ) ) ) ) ] )
% 23.02/23.41 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y ), :=(
% 23.02/23.41 Z, z )] )).
% 23.05/23.42
% 23.05/23.42
% 23.05/23.42 subsumption(
% 23.05/23.42 clause( 190885, [] )
% 23.05/23.42 , clause( 190986, [] )
% 23.05/23.42 , substitution( 0, [] ), permutation( 0, [] ) ).
% 23.05/23.42
% 23.05/23.42
% 23.05/23.42 end.
% 23.05/23.42
% 23.05/23.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.05/23.42
% 23.05/23.42 Memory use:
% 23.05/23.42
% 23.05/23.42 space for terms: 4666577
% 23.05/23.42 space for clauses: 21741725
% 23.05/23.42
% 23.05/23.42
% 23.05/23.42 clauses generated: 915192
% 23.05/23.42 clauses kept: 190886
% 23.05/23.42 clauses selected: 6568
% 23.05/23.42 clauses deleted: 738
% 23.05/23.42 clauses inuse deleted: 64
% 23.05/23.42
% 23.05/23.42 subsentry: 808013
% 23.05/23.42 literals s-matched: 725045
% 23.05/23.42 literals matched: 725044
% 23.05/23.42 full subsumption: 0
% 23.05/23.42
% 23.05/23.42 checksum: -1863856309
% 23.05/23.42
% 23.05/23.42
% 23.05/23.42 Bliksem ended
%------------------------------------------------------------------------------