TSTP Solution File: LCL369-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL369-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 07:53:03 EDT 2022
% Result : Unsatisfiable 5.09s 5.47s
% Output : Refutation 5.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL369-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n010.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Mon Jul 4 19:21:17 EDT 2022
% 0.12/0.31 % CPUTime :
% 3.47/3.88 *** allocated 10000 integers for termspace/termends
% 3.47/3.88 *** allocated 10000 integers for clauses
% 3.47/3.88 *** allocated 10000 integers for justifications
% 3.47/3.88 Bliksem 1.12
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Automatic Strategy Selection
% 3.47/3.88
% 3.47/3.88 Clauses:
% 3.47/3.88 [
% 3.47/3.88 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.47/3.88 'is_a_theorem'( Y ) ],
% 3.47/3.88 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 3.47/3.88 implies( X, Z ) ) ) ) ],
% 3.47/3.88 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 3.47/3.88 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 3.47/3.88 [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z ), implies(
% 3.47/3.88 implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ]
% 3.47/3.88 ] .
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 percentage equality = 0.000000, percentage horn = 1.000000
% 3.47/3.88 This is a near-Horn, non-equality problem
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Options Used:
% 3.47/3.88
% 3.47/3.88 useres = 1
% 3.47/3.88 useparamod = 0
% 3.47/3.88 useeqrefl = 0
% 3.47/3.88 useeqfact = 0
% 3.47/3.88 usefactor = 1
% 3.47/3.88 usesimpsplitting = 0
% 3.47/3.88 usesimpdemod = 0
% 3.47/3.88 usesimpres = 4
% 3.47/3.88
% 3.47/3.88 resimpinuse = 1000
% 3.47/3.88 resimpclauses = 20000
% 3.47/3.88 substype = standard
% 3.47/3.88 backwardsubs = 1
% 3.47/3.88 selectoldest = 5
% 3.47/3.88
% 3.47/3.88 litorderings [0] = split
% 3.47/3.88 litorderings [1] = liftord
% 3.47/3.88
% 3.47/3.88 termordering = none
% 3.47/3.88
% 3.47/3.88 litapriori = 1
% 3.47/3.88 termapriori = 0
% 3.47/3.88 litaposteriori = 0
% 3.47/3.88 termaposteriori = 0
% 3.47/3.88 demodaposteriori = 0
% 3.47/3.88 ordereqreflfact = 0
% 3.47/3.88
% 3.47/3.88 litselect = negative
% 3.47/3.88
% 3.47/3.88 maxweight = 30000
% 3.47/3.88 maxdepth = 30000
% 3.47/3.88 maxlength = 115
% 3.47/3.88 maxnrvars = 195
% 3.47/3.88 excuselevel = 0
% 3.47/3.88 increasemaxweight = 0
% 3.47/3.88
% 3.47/3.88 maxselected = 10000000
% 3.47/3.88 maxnrclauses = 10000000
% 3.47/3.88
% 3.47/3.88 showgenerated = 0
% 3.47/3.88 showkept = 0
% 3.47/3.88 showselected = 0
% 3.47/3.88 showdeleted = 0
% 3.47/3.88 showresimp = 1
% 3.47/3.88 showstatus = 2000
% 3.47/3.88
% 3.47/3.88 prologoutput = 1
% 3.47/3.88 nrgoals = 5000000
% 3.47/3.88 totalproof = 1
% 3.47/3.88
% 3.47/3.88 Symbols occurring in the translation:
% 3.47/3.88
% 3.47/3.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.47/3.88 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 3.47/3.88 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 3.47/3.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.47/3.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.47/3.88 implies [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.47/3.88 'is_a_theorem' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.47/3.88 not [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 3.47/3.88 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.47/3.88 y [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.47/3.88 z [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.47/3.88 u [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Starting Search:
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 9342
% 3.47/3.88 Kept: 2041
% 3.47/3.88 Inuse: 393
% 3.47/3.88 Deleted: 40
% 3.47/3.88 Deletedinuse: 16
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 20832
% 3.47/3.88 Kept: 4052
% 3.47/3.88 Inuse: 595
% 3.47/3.88 Deleted: 65
% 3.47/3.88 Deletedinuse: 19
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 31061
% 3.47/3.88 Kept: 6096
% 3.47/3.88 Inuse: 735
% 3.47/3.88 Deleted: 77
% 3.47/3.88 Deletedinuse: 19
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 43420
% 3.47/3.88 Kept: 8137
% 3.47/3.88 Inuse: 885
% 3.47/3.88 Deleted: 89
% 3.47/3.88 Deletedinuse: 20
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 53123
% 3.47/3.88 Kept: 10163
% 3.47/3.88 Inuse: 1013
% 3.47/3.88 Deleted: 124
% 3.47/3.88 Deletedinuse: 49
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 62281
% 3.47/3.88 Kept: 12249
% 3.47/3.88 Inuse: 1138
% 3.47/3.88 Deleted: 138
% 3.47/3.88 Deletedinuse: 50
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 76027
% 3.47/3.88 Kept: 14332
% 3.47/3.88 Inuse: 1333
% 3.47/3.88 Deleted: 146
% 3.47/3.88 Deletedinuse: 51
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 82453
% 3.47/3.88 Kept: 16428
% 3.47/3.88 Inuse: 1464
% 3.47/3.88 Deleted: 154
% 3.47/3.88 Deletedinuse: 53
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 93183
% 3.47/3.88 Kept: 18488
% 3.47/3.88 Inuse: 1602
% 3.47/3.88 Deleted: 157
% 3.47/3.88 Deletedinuse: 53
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying clauses:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88
% 3.47/3.88 Intermediate Status:
% 3.47/3.88 Generated: 104441
% 3.47/3.88 Kept: 20618
% 3.47/3.88 Inuse: 1676
% 3.47/3.88 Deleted: 317
% 3.47/3.88 Deletedinuse: 53
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 3.47/3.88
% 3.47/3.88 Resimplifying inuse:
% 3.47/3.88 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 113570
% 5.09/5.47 Kept: 22624
% 5.09/5.47 Inuse: 1784
% 5.09/5.47 Deleted: 317
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 121824
% 5.09/5.47 Kept: 24638
% 5.09/5.47 Inuse: 1844
% 5.09/5.47 Deleted: 317
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 132013
% 5.09/5.47 Kept: 26732
% 5.09/5.47 Inuse: 1913
% 5.09/5.47 Deleted: 318
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 143472
% 5.09/5.47 Kept: 28732
% 5.09/5.47 Inuse: 1993
% 5.09/5.47 Deleted: 318
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 150423
% 5.09/5.47 Kept: 30831
% 5.09/5.47 Inuse: 2067
% 5.09/5.47 Deleted: 318
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 160483
% 5.09/5.47 Kept: 32921
% 5.09/5.47 Inuse: 2152
% 5.09/5.47 Deleted: 318
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 171085
% 5.09/5.47 Kept: 34942
% 5.09/5.47 Inuse: 2247
% 5.09/5.47 Deleted: 318
% 5.09/5.47 Deletedinuse: 53
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 176525
% 5.09/5.47 Kept: 36992
% 5.09/5.47 Inuse: 2288
% 5.09/5.47 Deleted: 319
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 183207
% 5.09/5.47 Kept: 39130
% 5.09/5.47 Inuse: 2324
% 5.09/5.47 Deleted: 319
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying clauses:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 188389
% 5.09/5.47 Kept: 41146
% 5.09/5.47 Inuse: 2397
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 194091
% 5.09/5.47 Kept: 43164
% 5.09/5.47 Inuse: 2427
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 207754
% 5.09/5.47 Kept: 45250
% 5.09/5.47 Inuse: 2560
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 219433
% 5.09/5.47 Kept: 47396
% 5.09/5.47 Inuse: 2688
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 230790
% 5.09/5.47 Kept: 49416
% 5.09/5.47 Inuse: 2785
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 242347
% 5.09/5.47 Kept: 51534
% 5.09/5.47 Inuse: 2870
% 5.09/5.47 Deleted: 381
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 254480
% 5.09/5.47 Kept: 53535
% 5.09/5.47 Inuse: 3009
% 5.09/5.47 Deleted: 382
% 5.09/5.47 Deletedinuse: 54
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 264954
% 5.09/5.47 Kept: 55562
% 5.09/5.47 Inuse: 3117
% 5.09/5.47 Deleted: 384
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 279918
% 5.09/5.47 Kept: 57595
% 5.09/5.47 Inuse: 3264
% 5.09/5.47 Deleted: 384
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 289681
% 5.09/5.47 Kept: 59636
% 5.09/5.47 Inuse: 3287
% 5.09/5.47 Deleted: 384
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying clauses:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 303652
% 5.09/5.47 Kept: 61777
% 5.09/5.47 Inuse: 3332
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 314780
% 5.09/5.47 Kept: 64029
% 5.09/5.47 Inuse: 3365
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 327074
% 5.09/5.47 Kept: 66155
% 5.09/5.47 Inuse: 3407
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 346809
% 5.09/5.47 Kept: 68167
% 5.09/5.47 Inuse: 3529
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 357317
% 5.09/5.47 Kept: 70247
% 5.09/5.47 Inuse: 3618
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 367167
% 5.09/5.47 Kept: 72247
% 5.09/5.47 Inuse: 3676
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 379066
% 5.09/5.47 Kept: 74659
% 5.09/5.47 Inuse: 3787
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 385150
% 5.09/5.47 Kept: 76886
% 5.09/5.47 Inuse: 3809
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 395479
% 5.09/5.47 Kept: 78953
% 5.09/5.47 Inuse: 3917
% 5.09/5.47 Deleted: 459
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying clauses:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 405675
% 5.09/5.47 Kept: 81032
% 5.09/5.47 Inuse: 4052
% 5.09/5.47 Deleted: 492
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 418874
% 5.09/5.47 Kept: 83101
% 5.09/5.47 Inuse: 4087
% 5.09/5.47 Deleted: 492
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 428471
% 5.09/5.47 Kept: 85293
% 5.09/5.47 Inuse: 4119
% 5.09/5.47 Deleted: 492
% 5.09/5.47 Deletedinuse: 56
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 435290
% 5.09/5.47 Kept: 87460
% 5.09/5.47 Inuse: 4168
% 5.09/5.47 Deleted: 493
% 5.09/5.47 Deletedinuse: 57
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 445834
% 5.09/5.47 Kept: 89751
% 5.09/5.47 Inuse: 4198
% 5.09/5.47 Deleted: 494
% 5.09/5.47 Deletedinuse: 58
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 459263
% 5.09/5.47 Kept: 91824
% 5.09/5.47 Inuse: 4271
% 5.09/5.47 Deleted: 494
% 5.09/5.47 Deletedinuse: 58
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 473896
% 5.09/5.47 Kept: 94057
% 5.09/5.47 Inuse: 4324
% 5.09/5.47 Deleted: 494
% 5.09/5.47 Deletedinuse: 58
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47 Done
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 Intermediate Status:
% 5.09/5.47 Generated: 483726
% 5.09/5.47 Kept: 96322
% 5.09/5.47 Inuse: 4377
% 5.09/5.47 Deleted: 494
% 5.09/5.47 Deletedinuse: 58
% 5.09/5.47
% 5.09/5.47 Resimplifying inuse:
% 5.09/5.47
% 5.09/5.47 Bliksems!, er is een bewijs:
% 5.09/5.47 % SZS status Unsatisfiable
% 5.09/5.47 % SZS output start Refutation
% 5.09/5.47
% 5.09/5.47 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 5.09/5.47 ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 5.09/5.47 , Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z ),
% 5.09/5.47 implies( implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 5.09/5.47 implies( not( X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 .
% 5.09/5.47 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 5.09/5.47 , implies( X, Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 not( X ), X ), Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 5.09/5.47 X ), Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 5.09/5.47 implies( X, X ) ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 5.09/5.47 implies( X, Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 5.09/5.47 implies( Z, X ), T ) ), U ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 5.09/5.47 Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 5.09/5.47 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( Y, Y ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( Z, Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 5.09/5.47 ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 5.09/5.47 ), Z ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 5.09/5.47 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 5.09/5.47 ) ), U ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 5.09/5.47 ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 5.09/5.47 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 5.09/5.47 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 1264, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( implies( X, Z ), T ), implies( implies(
% 5.09/5.47 Y, Z ), T ) ) ), U ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 5.09/5.47 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 5.09/5.47 ), X ), X ), Y ), Y ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 5.09/5.47 ), implies( X, Y ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( Y, X ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 5.09/5.47 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 5.09/5.47 ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 96066, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 5.09/5.47 .
% 5.09/5.47 clause( 96322, [] )
% 5.09/5.47 .
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 % SZS output end Refutation
% 5.09/5.47 found a proof!
% 5.09/5.47
% 5.09/5.47 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.09/5.47
% 5.09/5.47 initialclauses(
% 5.09/5.47 [ clause( 96324, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 5.09/5.47 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , clause( 96325, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96326, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , clause( 96327, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , clause( 96328, [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z
% 5.09/5.47 ), implies( implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ] )
% 5.09/5.47 ] ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 5.09/5.47 ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , clause( 96324, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 5.09/5.47 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 5.09/5.47 , Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96325, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 5.09/5.47 , clause( 96326, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 5.09/5.47 , clause( 96327, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z ),
% 5.09/5.47 implies( implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ] )
% 5.09/5.47 , clause( 96328, [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z
% 5.09/5.47 ), implies( implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96330, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 5.09/5.47 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 5.09/5.47 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 , clause( 96330, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 5.09/5.47 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.09/5.47 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96332, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 5.09/5.47 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 5.09/5.47 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 5.09/5.47 implies( not( X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96332, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 5.09/5.47 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96334, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 5.09/5.47 ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 5.09/5.47 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 5.09/5.47 ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , clause( 96334, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 5.09/5.47 ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96335, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 5.09/5.47 Z ), implies( X, Z ) ) ) ] )
% 5.09/5.47 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 5.09/5.47 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 5.09/5.47 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 5.09/5.47 , implies( X, Z ) ) ) ] )
% 5.09/5.47 , clause( 96335, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 5.09/5.47 , Z ), implies( X, Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96337, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 5.09/5.47 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 5.09/5.47 , Z ), implies( X, Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 5.09/5.47 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.47 :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 5.09/5.47 , clause( 96337, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96338, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 5.09/5.47 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 5.09/5.47 , Z ), implies( X, Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 5.09/5.47 , clause( 96338, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96339, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 not( X ), X ), Y ) ) ) ] )
% 5.09/5.47 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 5.09/5.47 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 5.09/5.47 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 not( X ), X ), Y ) ) ) ] )
% 5.09/5.47 , clause( 96339, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( not( X ), X ), Y ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96340, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 5.09/5.47 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 5.09/5.47 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 5.09/5.47 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 5.09/5.47 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 5.09/5.47 ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , clause( 96340, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96342, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 5.09/5.47 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 5.09/5.47 substitution( 1, [ :=( X, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 5.09/5.47 X ), Y ) ) ) ] )
% 5.09/5.47 , clause( 96342, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 5.09/5.47 'is_a_theorem'( Y ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.09/5.47 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96343, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , X ), Y ) ) ) ] )
% 5.09/5.47 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 5.09/5.47 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 5.09/5.47 ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 5.09/5.47 , clause( 96343, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96345, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 5.09/5.47 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 5.09/5.47 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 5.09/5.47 implies( X, X ) ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96345, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 5.09/5.47 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96347, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( not( X ), X ), Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 5.09/5.47 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.47 :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96347, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96348, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 5.09/5.47 implies( implies( X, Y ), Z ), implies( implies( implies( not( X ), T ),
% 5.09/5.47 Y ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( not( X ), T
% 5.09/5.47 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96348, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96349, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 5.09/5.47 Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 5.09/5.47 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 5.09/5.47 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 5.09/5.47 implies( Y, implies( X, Z ) ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 5.09/5.47 implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96349, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 5.09/5.47 Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 5.09/5.47 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 5.09/5.47 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 5.09/5.47 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 5.09/5.47 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 5.09/5.47 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 , clause( 96350, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96352, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 5.09/5.47 , U ) ) ), 'is_a_theorem'( U ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 5.09/5.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 5.09/5.47 ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 5.09/5.47 implies( Z, X ), T ) ), U ) ) ) ] )
% 5.09/5.47 , clause( 96352, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 5.09/5.47 , U ) ) ), 'is_a_theorem'( U ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.09/5.47 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96353, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 5.09/5.47 ), Z ) ) ) ] )
% 5.09/5.47 , clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 5.09/5.47 Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 5.09/5.47 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 5.09/5.47 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 5.09/5.47 Z ) ) ) ] )
% 5.09/5.47 , clause( 96353, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 5.09/5.47 ) ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96355, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 5.09/5.47 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 5.09/5.47 ) ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 5.09/5.47 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 5.09/5.47 Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 5.09/5.47 , clause( 96355, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 5.09/5.47 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96356, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 5.09/5.47 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 5.09/5.47 , clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 5.09/5.47 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 5.09/5.47 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 5.09/5.47 Y ) ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 5.09/5.47 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 5.09/5.47 , clause( 96356, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 5.09/5.47 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96357, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 5.09/5.47 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 , 1, clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 5.09/5.47 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 5.09/5.47 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 5.09/5.47 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 5.09/5.47 , clause( 96357, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96359, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 5.09/5.47 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 5.09/5.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( Y, Y ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96359, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 5.09/5.47 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96360, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( Z, Y ) ) ) ] )
% 5.09/5.47 , clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( Y, Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 5.09/5.47 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 5.09/5.47 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( Z, Y ) ) ) ] )
% 5.09/5.47 , clause( 96360, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( Z, Y ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96362, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 5.09/5.47 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 5.09/5.47 , implies( Z, Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 5.09/5.47 , Y ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 5.09/5.47 , clause( 96362, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 5.09/5.47 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96363, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 5.09/5.47 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 5.09/5.47 , implies( X, Y ) ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 , clause( 96363, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96364, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 5.09/5.47 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 5.09/5.47 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 5.09/5.47 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96364, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96366, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 5.09/5.47 Y, Y ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 5.09/5.47 , clause( 96366, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96367, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 5.09/5.47 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 5.09/5.47 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, implies(
% 5.09/5.47 implies( Y, Z ), implies( T, Z ) ) ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96367, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96368, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 5.09/5.47 ) ) ] )
% 5.09/5.47 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ) ) ) ] )
% 5.09/5.47 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 5.09/5.47 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 5.09/5.47 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 5.09/5.47 Z, Y ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 5.09/5.47 ) ] )
% 5.09/5.47 , clause( 96368, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 5.09/5.47 Y ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96370, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 5.09/5.47 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 5.09/5.47 , Y ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 5.09/5.47 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96370, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 5.09/5.47 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96371, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 5.09/5.47 Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 5.09/5.47 implies( X, Y ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 5.09/5.47 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 5.09/5.47 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 5.09/5.47 ), Z ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96371, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 5.09/5.47 , Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96373, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 5.09/5.47 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 Y, Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 5.09/5.47 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 5.09/5.47 ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 5.09/5.47 , clause( 96373, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 5.09/5.47 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96374, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 5.09/5.47 ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 5.09/5.47 , clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 5.09/5.47 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, implies( implies(
% 5.09/5.47 implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( not( X ), X ), X
% 5.09/5.47 ) ), :=( Z, Y ), :=( T, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 5.09/5.47 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 5.09/5.47 , clause( 96374, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 5.09/5.47 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96376, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 5.09/5.47 X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 5.09/5.47 'is_a_theorem'( U ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 5.09/5.47 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 5.09/5.47 implies( implies( Y, Z ), implies( T, Z ) ) ) ), :=( Y, U )] ),
% 5.09/5.47 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 5.09/5.47 ) ), U ) ) ) ] )
% 5.09/5.47 , clause( 96376, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 5.09/5.47 , X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 5.09/5.47 'is_a_theorem'( U ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.09/5.47 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96378, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 5.09/5.47 'is_a_theorem'( T ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 5.09/5.47 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 5.09/5.47 , X ), X ), Y ), implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [
% 5.09/5.47 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 5.09/5.47 ) ) ) ] )
% 5.09/5.47 , clause( 96378, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 5.09/5.47 'is_a_theorem'( T ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96379, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 5.09/5.47 Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 5.09/5.47 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 5.09/5.47 implies( implies( not( X ), Y ), Z ), implies( implies( Z, T ), implies(
% 5.09/5.47 X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 5.09/5.47 implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 5.09/5.47 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 5.09/5.47 , clause( 96379, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 5.09/5.47 , Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96380, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 5.09/5.47 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 5.09/5.47 , clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 5.09/5.47 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 5.09/5.47 implies( implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y,
% 5.09/5.47 T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X
% 5.09/5.47 , implies( not( Y ), Z ) ) ), :=( T, T )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 5.09/5.47 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 5.09/5.47 , clause( 96380, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 5.09/5.47 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96382, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) )
% 5.09/5.47 , U ) ) ), 'is_a_theorem'( U ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 5.09/5.47 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ), :=( Y, U )] )
% 5.09/5.47 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 5.09/5.47 ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 1264, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( implies( X, Z ), T ), implies( implies(
% 5.09/5.47 Y, Z ), T ) ) ), U ) ) ) ] )
% 5.09/5.47 , clause( 96382, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 5.09/5.47 implies( implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) )
% 5.09/5.47 , U ) ) ), 'is_a_theorem'( U ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.09/5.47 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96383, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 , clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 5.09/5.47 implies( Z, X ), T ) ), U ) ) ) ] )
% 5.09/5.47 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 5.09/5.47 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 5.09/5.47 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 5.09/5.47 ) ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 , clause( 96383, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96384, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 5.09/5.47 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 5.09/5.47 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 5.09/5.47 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 5.09/5.47 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 5.09/5.47 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 5.09/5.47 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 5.09/5.47 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96384, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 5.09/5.47 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96385, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 5.09/5.47 ) ) ) ] )
% 5.09/5.47 , 1, clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 5.09/5.47 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( T, T ) ),
% 5.09/5.47 :=( T, implies( X, implies( implies( implies( implies( not( Y ), Y ), Y )
% 5.09/5.47 , Z ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies(
% 5.09/5.47 not( Y ), Y ), Y ), Z ) ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96385, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96386, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 5.09/5.47 ), X ), X ), Y ), Y ) ) ] )
% 5.09/5.47 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 5.09/5.47 ) ) ) ] )
% 5.09/5.47 , 1, clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 5.09/5.47 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 5.09/5.47 ), Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 5.09/5.47 ), X ), X ), Y ), Y ) ) ] )
% 5.09/5.47 , clause( 96386, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 5.09/5.47 X ), X ), X ), Y ), Y ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96388, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 not( X ), X ), X ), Y ), Y ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 5.09/5.47 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.47 :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96388, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 5.09/5.47 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96389, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 5.09/5.47 ) ), implies( X, Y ) ) ) ] )
% 5.09/5.47 , clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 5.09/5.47 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 5.09/5.47 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 5.09/5.47 ), :=( T, implies( X, Y ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 5.09/5.47 ), implies( X, Y ) ) ) ] )
% 5.09/5.47 , clause( 96389, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 5.09/5.47 Y ) ), implies( X, Y ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96391, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 5.09/5.47 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 5.09/5.47 , Y ) ), implies( X, Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 5.09/5.47 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.47 :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96391, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 5.09/5.47 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96392, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 5.09/5.47 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 5.09/5.47 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 5.09/5.47 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 5.09/5.47 :=( T, implies( Y, X ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 5.09/5.47 , clause( 96392, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96394, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 5.09/5.47 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 5.09/5.47 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 5.09/5.47 , implies( Y, X ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96394, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 5.09/5.47 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96395, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( Y, X ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.09/5.47 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 5.09/5.47 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 5.09/5.47 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 5.09/5.47 :=( T, Z )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96395, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96396, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 5.09/5.47 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 5.09/5.47 )
% 5.09/5.47 , 1, clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 5.09/5.47 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 5.09/5.47 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 5.09/5.47 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 5.09/5.47 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 5.09/5.47 , clause( 96396, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.47 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96397, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 5.09/5.47 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 5.09/5.47 , clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 5.09/5.47 ) ), U ) ) ) ] )
% 5.09/5.47 , 1, clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 5.09/5.47 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 5.09/5.47 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T )
% 5.09/5.47 , implies( X, T ) ) )] ), substitution( 1, [ :=( X, implies( U, U ) ),
% 5.09/5.47 :=( Y, X ), :=( Z, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( T,
% 5.09/5.47 T )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 5.09/5.47 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 5.09/5.47 , clause( 96397, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 5.09/5.47 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96398, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 5.09/5.47 ) ) ] )
% 5.09/5.47 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 5.09/5.47 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 5.09/5.47 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 5.09/5.47 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 5.09/5.47 ) )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 5.09/5.47 ) ) ] )
% 5.09/5.47 , clause( 96398, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 5.09/5.47 ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.47 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96400, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 5.09/5.47 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.09/5.47 , ~( 'is_a_theorem'( X ) ) ] )
% 5.09/5.47 , 2, clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 5.09/5.47 , Y ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 5.09/5.47 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , clause( 96400, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 5.09/5.47 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96401, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.47 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 5.09/5.47 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 5.09/5.47 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 5.09/5.47 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 5.09/5.47 , implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ), substitution(
% 5.09/5.47 1, [ :=( X, Y ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, X )] )).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 subsumption(
% 5.09/5.47 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , clause( 96401, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 5.09/5.47 implies( Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.47
% 5.09/5.47
% 5.09/5.47 resolution(
% 5.09/5.47 clause( 96402, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.48 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 5.09/5.48 , clause( 1264, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 5.09/5.48 implies( X, Y ), implies( implies( implies( X, Z ), T ), implies( implies(
% 5.09/5.48 Y, Z ), T ) ) ), U ) ) ) ] )
% 5.09/5.48 , 1, clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 5.09/5.48 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 5.09/5.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z ),
% 5.09/5.48 :=( U, implies( implies( implies( X, Y ), Z ), implies( implies( X, T ),
% 5.09/5.48 implies( implies( T, Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 5.09/5.48 X, T ) ), :=( Y, implies( implies( X, Y ), Z ) ), :=( Z, implies( implies(
% 5.09/5.48 T, Y ), Z ) )] )).
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 subsumption(
% 5.09/5.48 clause( 96066, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.48 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 5.09/5.48 , clause( 96402, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 5.09/5.48 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 5.09/5.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.09/5.48 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 resolution(
% 5.09/5.48 clause( 96403, [] )
% 5.09/5.48 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( x, y ), z ),
% 5.09/5.48 implies( implies( x, u ), implies( implies( u, y ), z ) ) ) ) ) ] )
% 5.09/5.48 , 0, clause( 96066, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 5.09/5.48 ), implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 5.09/5.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y ), :=(
% 5.09/5.48 Z, z ), :=( T, u )] )).
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 subsumption(
% 5.09/5.48 clause( 96322, [] )
% 5.09/5.48 , clause( 96403, [] )
% 5.09/5.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 end.
% 5.09/5.48
% 5.09/5.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.09/5.48
% 5.09/5.48 Memory use:
% 5.09/5.48
% 5.09/5.48 space for terms: 2215866
% 5.09/5.48 space for clauses: 10437154
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 clauses generated: 483727
% 5.09/5.48 clauses kept: 96323
% 5.09/5.48 clauses selected: 4377
% 5.09/5.48 clauses deleted: 495
% 5.09/5.48 clauses inuse deleted: 59
% 5.09/5.48
% 5.09/5.48 subsentry: 418615
% 5.09/5.48 literals s-matched: 387900
% 5.09/5.48 literals matched: 387899
% 5.09/5.48 full subsumption: 0
% 5.09/5.48
% 5.09/5.48 checksum: 1711009077
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 Bliksem ended
%------------------------------------------------------------------------------