TSTP Solution File: LCL025-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:49:22 EDT 2022
% Result : Unsatisfiable 6.01s 6.39s
% Output : Refutation 6.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Jul 2 17:06:02 EDT 2022
% 0.11/0.32 % CPUTime :
% 3.69/4.09 *** allocated 10000 integers for termspace/termends
% 3.69/4.09 *** allocated 10000 integers for clauses
% 3.69/4.09 *** allocated 10000 integers for justifications
% 3.69/4.09 Bliksem 1.12
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Automatic Strategy Selection
% 3.69/4.09
% 3.69/4.09 Clauses:
% 3.69/4.09 [
% 3.69/4.09 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.69/4.09 'is_a_theorem'( Y ) ],
% 3.69/4.09 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 3.69/4.09 [ 'is_a_theorem'( implies( implies( implies( X, falsehood ), falsehood )
% 3.69/4.09 , X ) ) ],
% 3.69/4.09 [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies(
% 3.69/4.09 implies( X, Y ), implies( X, Z ) ) ) ) ],
% 3.69/4.09 [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies( b, c )
% 3.69/4.09 , implies( a, c ) ) ) ) ) ]
% 3.69/4.09 ] .
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 percentage equality = 0.000000, percentage horn = 1.000000
% 3.69/4.09 This is a near-Horn, non-equality problem
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Options Used:
% 3.69/4.09
% 3.69/4.09 useres = 1
% 3.69/4.09 useparamod = 0
% 3.69/4.09 useeqrefl = 0
% 3.69/4.09 useeqfact = 0
% 3.69/4.09 usefactor = 1
% 3.69/4.09 usesimpsplitting = 0
% 3.69/4.09 usesimpdemod = 0
% 3.69/4.09 usesimpres = 4
% 3.69/4.09
% 3.69/4.09 resimpinuse = 1000
% 3.69/4.09 resimpclauses = 20000
% 3.69/4.09 substype = standard
% 3.69/4.09 backwardsubs = 1
% 3.69/4.09 selectoldest = 5
% 3.69/4.09
% 3.69/4.09 litorderings [0] = split
% 3.69/4.09 litorderings [1] = liftord
% 3.69/4.09
% 3.69/4.09 termordering = none
% 3.69/4.09
% 3.69/4.09 litapriori = 1
% 3.69/4.09 termapriori = 0
% 3.69/4.09 litaposteriori = 0
% 3.69/4.09 termaposteriori = 0
% 3.69/4.09 demodaposteriori = 0
% 3.69/4.09 ordereqreflfact = 0
% 3.69/4.09
% 3.69/4.09 litselect = negative
% 3.69/4.09
% 3.69/4.09 maxweight = 30000
% 3.69/4.09 maxdepth = 30000
% 3.69/4.09 maxlength = 115
% 3.69/4.09 maxnrvars = 195
% 3.69/4.09 excuselevel = 0
% 3.69/4.09 increasemaxweight = 0
% 3.69/4.09
% 3.69/4.09 maxselected = 10000000
% 3.69/4.09 maxnrclauses = 10000000
% 3.69/4.09
% 3.69/4.09 showgenerated = 0
% 3.69/4.09 showkept = 0
% 3.69/4.09 showselected = 0
% 3.69/4.09 showdeleted = 0
% 3.69/4.09 showresimp = 1
% 3.69/4.09 showstatus = 2000
% 3.69/4.09
% 3.69/4.09 prologoutput = 1
% 3.69/4.09 nrgoals = 5000000
% 3.69/4.09 totalproof = 1
% 3.69/4.09
% 3.69/4.09 Symbols occurring in the translation:
% 3.69/4.09
% 3.69/4.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.69/4.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 3.69/4.09 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 3.69/4.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.69/4.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.69/4.09 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.69/4.09 'is_a_theorem' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.69/4.09 falsehood [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.69/4.09 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.69/4.09 b [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.69/4.09 c [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Starting Search:
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 26792
% 3.69/4.09 Kept: 2013
% 3.69/4.09 Inuse: 566
% 3.69/4.09 Deleted: 13
% 3.69/4.09 Deletedinuse: 2
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 38923
% 3.69/4.09 Kept: 4076
% 3.69/4.09 Inuse: 696
% 3.69/4.09 Deleted: 29
% 3.69/4.09 Deletedinuse: 16
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 49144
% 3.69/4.09 Kept: 6088
% 3.69/4.09 Inuse: 768
% 3.69/4.09 Deleted: 29
% 3.69/4.09 Deletedinuse: 16
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 58650
% 3.69/4.09 Kept: 8089
% 3.69/4.09 Inuse: 817
% 3.69/4.09 Deleted: 29
% 3.69/4.09 Deletedinuse: 16
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 79062
% 3.69/4.09 Kept: 10118
% 3.69/4.09 Inuse: 983
% 3.69/4.09 Deleted: 29
% 3.69/4.09 Deletedinuse: 16
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 100082
% 3.69/4.09 Kept: 12258
% 3.69/4.09 Inuse: 1129
% 3.69/4.09 Deleted: 30
% 3.69/4.09 Deletedinuse: 16
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 117955
% 3.69/4.09 Kept: 14271
% 3.69/4.09 Inuse: 1228
% 3.69/4.09 Deleted: 31
% 3.69/4.09 Deletedinuse: 17
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 125497
% 3.69/4.09 Kept: 16292
% 3.69/4.09 Inuse: 1269
% 3.69/4.09 Deleted: 31
% 3.69/4.09 Deletedinuse: 17
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 133696
% 3.69/4.09 Kept: 18298
% 3.69/4.09 Inuse: 1320
% 3.69/4.09 Deleted: 31
% 3.69/4.09 Deletedinuse: 17
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying clauses:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 142050
% 3.69/4.09 Kept: 20298
% 3.69/4.09 Inuse: 1381
% 3.69/4.09 Deleted: 143
% 3.69/4.09 Deletedinuse: 17
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09 Resimplifying inuse:
% 3.69/4.09 Done
% 3.69/4.09
% 3.69/4.09
% 3.69/4.09 Intermediate Status:
% 3.69/4.09 Generated: 163918
% 6.01/6.39 Kept: 22324
% 6.01/6.39 Inuse: 1487
% 6.01/6.39 Deleted: 144
% 6.01/6.39 Deletedinuse: 18
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 186453
% 6.01/6.39 Kept: 24463
% 6.01/6.39 Inuse: 1640
% 6.01/6.39 Deleted: 146
% 6.01/6.39 Deletedinuse: 18
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 208795
% 6.01/6.39 Kept: 26487
% 6.01/6.39 Inuse: 1762
% 6.01/6.39 Deleted: 146
% 6.01/6.39 Deletedinuse: 18
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 225541
% 6.01/6.39 Kept: 28528
% 6.01/6.39 Inuse: 1830
% 6.01/6.39 Deleted: 147
% 6.01/6.39 Deletedinuse: 19
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 246264
% 6.01/6.39 Kept: 30662
% 6.01/6.39 Inuse: 1959
% 6.01/6.39 Deleted: 148
% 6.01/6.39 Deletedinuse: 19
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 255982
% 6.01/6.39 Kept: 32785
% 6.01/6.39 Inuse: 1993
% 6.01/6.39 Deleted: 149
% 6.01/6.39 Deletedinuse: 20
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 268681
% 6.01/6.39 Kept: 34788
% 6.01/6.39 Inuse: 2042
% 6.01/6.39 Deleted: 152
% 6.01/6.39 Deletedinuse: 20
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 280640
% 6.01/6.39 Kept: 36853
% 6.01/6.39 Inuse: 2085
% 6.01/6.39 Deleted: 153
% 6.01/6.39 Deletedinuse: 21
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 288774
% 6.01/6.39 Kept: 38897
% 6.01/6.39 Inuse: 2125
% 6.01/6.39 Deleted: 153
% 6.01/6.39 Deletedinuse: 21
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying clauses:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 302375
% 6.01/6.39 Kept: 41111
% 6.01/6.39 Inuse: 2173
% 6.01/6.39 Deleted: 385
% 6.01/6.39 Deletedinuse: 22
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 321879
% 6.01/6.39 Kept: 43115
% 6.01/6.39 Inuse: 2222
% 6.01/6.39 Deleted: 385
% 6.01/6.39 Deletedinuse: 22
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 340236
% 6.01/6.39 Kept: 45115
% 6.01/6.39 Inuse: 2294
% 6.01/6.39 Deleted: 385
% 6.01/6.39 Deletedinuse: 22
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 360566
% 6.01/6.39 Kept: 47133
% 6.01/6.39 Inuse: 2365
% 6.01/6.39 Deleted: 386
% 6.01/6.39 Deletedinuse: 23
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 378111
% 6.01/6.39 Kept: 49199
% 6.01/6.39 Inuse: 2431
% 6.01/6.39 Deleted: 386
% 6.01/6.39 Deletedinuse: 23
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 391816
% 6.01/6.39 Kept: 51296
% 6.01/6.39 Inuse: 2481
% 6.01/6.39 Deleted: 387
% 6.01/6.39 Deletedinuse: 24
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 412574
% 6.01/6.39 Kept: 53372
% 6.01/6.39 Inuse: 2558
% 6.01/6.39 Deleted: 389
% 6.01/6.39 Deletedinuse: 25
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 425192
% 6.01/6.39 Kept: 55406
% 6.01/6.39 Inuse: 2612
% 6.01/6.39 Deleted: 389
% 6.01/6.39 Deletedinuse: 25
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 437394
% 6.01/6.39 Kept: 57559
% 6.01/6.39 Inuse: 2679
% 6.01/6.39 Deleted: 389
% 6.01/6.39 Deletedinuse: 25
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 459661
% 6.01/6.39 Kept: 59797
% 6.01/6.39 Inuse: 2780
% 6.01/6.39 Deleted: 392
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying clauses:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 474155
% 6.01/6.39 Kept: 61921
% 6.01/6.39 Inuse: 2855
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 495314
% 6.01/6.39 Kept: 63962
% 6.01/6.39 Inuse: 2925
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 504623
% 6.01/6.39 Kept: 66094
% 6.01/6.39 Inuse: 2960
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 510645
% 6.01/6.39 Kept: 68212
% 6.01/6.39 Inuse: 2977
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 532024
% 6.01/6.39 Kept: 70281
% 6.01/6.39 Inuse: 3074
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 546331
% 6.01/6.39 Kept: 72406
% 6.01/6.39 Inuse: 3103
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 563777
% 6.01/6.39 Kept: 74468
% 6.01/6.39 Inuse: 3133
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 570528
% 6.01/6.39 Kept: 76493
% 6.01/6.39 Inuse: 3152
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 582649
% 6.01/6.39 Kept: 78534
% 6.01/6.39 Inuse: 3178
% 6.01/6.39 Deleted: 489
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying clauses:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 593320
% 6.01/6.39 Kept: 80621
% 6.01/6.39 Inuse: 3198
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 614880
% 6.01/6.39 Kept: 82627
% 6.01/6.39 Inuse: 3282
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 621916
% 6.01/6.39 Kept: 84852
% 6.01/6.39 Inuse: 3297
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 627840
% 6.01/6.39 Kept: 87001
% 6.01/6.39 Inuse: 3314
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 632490
% 6.01/6.39 Kept: 89016
% 6.01/6.39 Inuse: 3334
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 635090
% 6.01/6.39 Kept: 91236
% 6.01/6.39 Inuse: 3342
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 638623
% 6.01/6.39 Kept: 93395
% 6.01/6.39 Inuse: 3355
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 649632
% 6.01/6.39 Kept: 95637
% 6.01/6.39 Inuse: 3383
% 6.01/6.39 Deleted: 624
% 6.01/6.39 Deletedinuse: 27
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 672286
% 6.01/6.39 Kept: 97819
% 6.01/6.39 Inuse: 3478
% 6.01/6.39 Deleted: 641
% 6.01/6.39 Deletedinuse: 44
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 686893
% 6.01/6.39 Kept: 100041
% 6.01/6.39 Inuse: 3513
% 6.01/6.39 Deleted: 642
% 6.01/6.39 Deletedinuse: 45
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying clauses:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 699199
% 6.01/6.39 Kept: 102176
% 6.01/6.39 Inuse: 3560
% 6.01/6.39 Deleted: 748
% 6.01/6.39 Deletedinuse: 45
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Intermediate Status:
% 6.01/6.39 Generated: 718530
% 6.01/6.39 Kept: 104286
% 6.01/6.39 Inuse: 3642
% 6.01/6.39 Deleted: 1288
% 6.01/6.39 Deletedinuse: 575
% 6.01/6.39
% 6.01/6.39 Resimplifying inuse:
% 6.01/6.39 Done
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 Bliksems!, er is een bewijs:
% 6.01/6.39 % SZS status Unsatisfiable
% 6.01/6.39 % SZS output start Refutation
% 6.01/6.39
% 6.01/6.39 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 6.01/6.39 ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 6.01/6.39 b, c ), implies( a, c ) ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, X ) ), Z ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 6.01/6.39 ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 9, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 6.01/6.39 ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 6.01/6.39 ) ), T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 11, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 13, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 X ), Y ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 6.01/6.39 implies( implies( X, Y ), Y ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 20, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 6.01/6.39 )
% 6.01/6.39 .
% 6.01/6.39 clause( 30, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 6.01/6.39 T, Z ) ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 39, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 6.01/6.39 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 6.01/6.39 , Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 43, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 6.01/6.39 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 51, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 6.01/6.39 , Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 164, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 6.01/6.39 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 167, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 6.01/6.39 ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 182, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 6.01/6.39 implies( Y, T ) ) ) ), U ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 197, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 6.01/6.39 )
% 6.01/6.39 .
% 6.01/6.39 clause( 264, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) )
% 6.01/6.39 ), T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 326, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 6.01/6.39 ) ), U ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 1271, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 6.01/6.39 Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 1300, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 6.01/6.39 )
% 6.01/6.39 .
% 6.01/6.39 clause( 2305, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 6.01/6.39 ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 2366, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 2539, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 6.01/6.39 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 2785, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 6.01/6.39 ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 9329, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 6.01/6.39 , implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 12562, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 6.01/6.39 implies( Y, Z ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 12617, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 13057, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 6.01/6.39 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 13374, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( Y, implies( X, Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 105270, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.39 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 .
% 6.01/6.39 clause( 105421, [] )
% 6.01/6.39 .
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 % SZS output end Refutation
% 6.01/6.39 found a proof!
% 6.01/6.39
% 6.01/6.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.01/6.39
% 6.01/6.39 initialclauses(
% 6.01/6.39 [ clause( 105423, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 6.01/6.39 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 6.01/6.39 , clause( 105424, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , clause( 105425, [ 'is_a_theorem'( implies( implies( implies( X, falsehood
% 6.01/6.39 ), falsehood ), X ) ) ] )
% 6.01/6.39 , clause( 105426, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 6.01/6.39 , implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , clause( 105427, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 6.01/6.39 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 6.01/6.39 ] ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 6.01/6.39 ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , clause( 105423, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 6.01/6.39 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.01/6.39 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , clause( 105424, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.01/6.39 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , clause( 105426, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 6.01/6.39 , implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 6.01/6.39 b, c ), implies( a, c ) ) ) ) ) ] )
% 6.01/6.39 , clause( 105427, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 6.01/6.39 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 6.01/6.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105429, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 6.01/6.39 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 6.01/6.39 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, X ) ), Z ) ) ) ] )
% 6.01/6.39 , clause( 105429, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 6.01/6.39 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105430, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 6.01/6.39 ) ) ] )
% 6.01/6.39 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( Y, X ) ), Z ) ) ) ] )
% 6.01/6.39 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 6.01/6.39 Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 6.01/6.39 implies( Z, Y ) ) ), :=( Y, X )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 6.01/6.39 ] )
% 6.01/6.39 , clause( 105430, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 6.01/6.39 ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105432, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 6.01/6.39 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 6.01/6.39 ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 6.01/6.39 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 6.01/6.39 ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 6.01/6.39 , clause( 105432, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 6.01/6.39 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105433, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 6.01/6.39 ) ) ] )
% 6.01/6.39 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( Y, X ) ), Z ) ) ) ] )
% 6.01/6.39 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 6.01/6.39 , Y ), implies( X, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 6.01/6.39 , :=( Z, X )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 9, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 6.01/6.39 ] )
% 6.01/6.39 , clause( 105433, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 6.01/6.39 ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.01/6.39 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105435, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 6.01/6.39 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 6.01/6.39 'is_a_theorem'( T ) ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] ),
% 6.01/6.39 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 6.01/6.39 ) ), T ) ) ) ] )
% 6.01/6.39 , clause( 105435, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 6.01/6.39 implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) )
% 6.01/6.39 , 'is_a_theorem'( T ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105436, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 6.01/6.39 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( Y, X ) ), Z ) ) ) ] )
% 6.01/6.39 , 1, clause( 9, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 6.01/6.39 ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 6.01/6.39 , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 11, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 6.01/6.39 , clause( 105436, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105438, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 6.01/6.39 'is_a_theorem'( Y ) ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 11, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 6.01/6.39 substitution( 1, [ :=( X, X )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 13, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 X ), Y ) ) ) ] )
% 6.01/6.39 , clause( 105438, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 6.01/6.39 'is_a_theorem'( Y ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.01/6.39 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105439, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 6.01/6.39 implies( implies( X, Y ), Y ) ) ) ] )
% 6.01/6.39 , clause( 13, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , X ), Y ) ) ) ] )
% 6.01/6.39 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies(
% 6.01/6.39 implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) )] ),
% 6.01/6.39 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, Y )] )
% 6.01/6.39 ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 6.01/6.39 implies( implies( X, Y ), Y ) ) ) ] )
% 6.01/6.39 , clause( 105439, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 6.01/6.39 , implies( implies( X, Y ), Y ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.01/6.39 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105441, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 6.01/6.39 , Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 6.01/6.39 ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 6.01/6.39 implies( implies( X, Y ), Y ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 6.01/6.39 implies( implies( X, Y ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=(
% 6.01/6.39 X, X ), :=( Y, Y )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 20, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 6.01/6.39 )
% 6.01/6.39 , clause( 105441, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 6.01/6.39 X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z
% 6.01/6.39 ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105442, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 6.01/6.39 implies( T, Z ) ) ) ) ) ] )
% 6.01/6.39 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.39 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 6.01/6.39 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 6.01/6.39 X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ), substitution( 1, [
% 6.01/6.39 :=( X, implies( Y, implies( Z, implies( T, Z ) ) ) ), :=( Y, X )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 30, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 6.01/6.39 T, Z ) ) ) ) ) ] )
% 6.01/6.39 , clause( 105442, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 6.01/6.39 implies( T, Z ) ) ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105444, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 6.01/6.39 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 6.01/6.39 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.39 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.39 , 2, clause( 30, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 6.01/6.39 implies( T, Z ) ) ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 6.01/6.39 T, Z ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 6.01/6.39 , :=( Z, Z ), :=( T, T )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 39, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 6.01/6.39 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 6.01/6.39 , clause( 105444, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 6.01/6.39 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.01/6.39 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105445, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 6.01/6.39 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 6.01/6.39 ) ), T ) ) ) ] )
% 6.01/6.39 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 6.01/6.39 implies( implies( X, implies( Y, Z ) ), implies( X, Y ) ), implies(
% 6.01/6.39 implies( X, implies( Y, Z ) ), implies( X, Z ) ) ) )] ), substitution( 1
% 6.01/6.39 , [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies( X, Y ) ),
% 6.01/6.39 :=( Z, implies( X, Z ) )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 6.01/6.39 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 6.01/6.39 , Z ) ) ) ) ] )
% 6.01/6.39 , clause( 105445, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 6.01/6.39 Y, Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 6.01/6.39 implies( X, Z ) ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105446, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 6.01/6.39 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 6.01/6.39 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 6.01/6.39 ) ), T ) ) ) ] )
% 6.01/6.39 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 6.01/6.39 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 6.01/6.39 implies( Y, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y
% 6.01/6.39 , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ),
% 6.01/6.39 :=( Y, X )] )).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 subsumption(
% 6.01/6.39 clause( 43, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 6.01/6.39 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 6.01/6.39 , clause( 105446, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 6.01/6.39 implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 6.01/6.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.39
% 6.01/6.39
% 6.01/6.39 resolution(
% 6.01/6.39 clause( 105447, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 6.01/6.39 , Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.39 , clause( 20, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.39 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 6.01/6.39 )
% 6.01/6.39 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 6.01/6.39 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 6.01/6.39 implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ) )] ),
% 6.01/6.40 substitution( 1, [ :=( X, implies( implies( implies( Y, Z ), Y ), implies(
% 6.01/6.40 implies( Y, Z ), Z ) ) ), :=( Y, X )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 51, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 6.01/6.40 , Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , clause( 105447, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 6.01/6.40 Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105448, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 6.01/6.40 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 6.01/6.40 , clause( 39, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.40 , implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 6.01/6.40 , 1, clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 6.01/6.40 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 6.01/6.40 implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 6.01/6.40 , Y ) ), T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, implies(
% 6.01/6.40 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 6.01/6.40 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( Y, implies( Z,
% 6.01/6.40 Y ) ) ), :=( Z, T )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 164, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 6.01/6.40 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 6.01/6.40 , clause( 105448, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105449, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 6.01/6.40 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.40 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 6.01/6.40 , 1, clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 6.01/6.40 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 6.01/6.40 implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z ) )
% 6.01/6.40 ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 6.01/6.40 :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 167, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 6.01/6.40 ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , clause( 105449, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105451, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 6.01/6.40 ) ) ), 'is_a_theorem'( U ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 43, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 6.01/6.40 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 6.01/6.40 , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ), :=( Y, U )] )
% 6.01/6.40 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 6.01/6.40 ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 182, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.40 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 6.01/6.40 implies( Y, T ) ) ) ), U ) ) ) ] )
% 6.01/6.40 , clause( 105451, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 6.01/6.40 implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T )
% 6.01/6.40 ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.01/6.40 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105453, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 6.01/6.40 implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 6.01/6.40 )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 167, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( implies( Y, X
% 6.01/6.40 ), Z ) ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X,
% 6.01/6.40 X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 197, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 6.01/6.40 )
% 6.01/6.40 , clause( 105453, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 6.01/6.40 implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ),
% 6.01/6.40 'is_a_theorem'( T ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105455, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ),
% 6.01/6.40 'is_a_theorem'( T ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 51, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 6.01/6.40 , Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 6.01/6.40 ), Y ), implies( implies( Y, Z ), Z ) ) ) ), :=( Y, T )] ),
% 6.01/6.40 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 264, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.40 , implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) )
% 6.01/6.40 ), T ) ) ) ] )
% 6.01/6.40 , clause( 105455, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 6.01/6.40 implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) )
% 6.01/6.40 , 'is_a_theorem'( T ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105457, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 6.01/6.40 implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ), U ) ) ),
% 6.01/6.40 'is_a_theorem'( U ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 164, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( implies( Y,
% 6.01/6.40 implies( Z, Y ) ), T ) ), implies( X, T ) ) ), :=( Y, U )] ),
% 6.01/6.40 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 326, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 6.01/6.40 ) ), U ) ) ) ] )
% 6.01/6.40 , clause( 105457, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 6.01/6.40 implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ), U ) ) )
% 6.01/6.40 , 'is_a_theorem'( U ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.01/6.40 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105458, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , clause( 182, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 6.01/6.40 implies( Y, T ) ) ) ), U ) ) ) ] )
% 6.01/6.40 , 1, clause( 167, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 6.01/6.40 :=( T, Y ), :=( U, implies( implies( X, Y ), implies( implies( Z, X ),
% 6.01/6.40 implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ),
% 6.01/6.40 :=( Y, Z ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 1271, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 6.01/6.40 Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , clause( 105458, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105460, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 6.01/6.40 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 6.01/6.40 ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 1271, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 6.01/6.40 Z, X ), implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 6.01/6.40 ), :=( Y, Y ), :=( Z, Z )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 1300, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 6.01/6.40 )
% 6.01/6.40 , clause( 105460, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 6.01/6.40 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 6.01/6.40 ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105461, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 6.01/6.40 ) ) ] )
% 6.01/6.40 , clause( 264, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 X, implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z )
% 6.01/6.40 ) ), T ) ) ) ] )
% 6.01/6.40 , 1, clause( 167, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 6.01/6.40 X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, X ),
% 6.01/6.40 :=( Y, implies( X, Y ) ), :=( Z, implies( implies( X, Y ), Y ) )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 2305, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 6.01/6.40 ) ] )
% 6.01/6.40 , clause( 105461, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 6.01/6.40 ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.01/6.40 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105463, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 2305, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 6.01/6.40 Y ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 6.01/6.40 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 2366, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 6.01/6.40 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 6.01/6.40 , clause( 105463, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 6.01/6.40 implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105464, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 6.01/6.40 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , clause( 2366, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 6.01/6.40 , 1, clause( 1271, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 6.01/6.40 , Y ), implies( X, implies( implies( Y, Z ), Z ) ) ) )] ), substitution(
% 6.01/6.40 1, [ :=( X, Y ), :=( Y, implies( implies( Y, Z ), Z ) ), :=( Z, X )] )
% 6.01/6.40 ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 2539, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 6.01/6.40 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , clause( 105464, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 6.01/6.40 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105465, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 6.01/6.40 , X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 6.01/6.40 , clause( 197, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 6.01/6.40 )
% 6.01/6.40 , 1, clause( 2539, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 6.01/6.40 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 6.01/6.40 implies( X, implies( implies( Y, X ), Z ) ), implies( implies( implies( X
% 6.01/6.40 , Z ), T ), T ) ) )] ), substitution( 1, [ :=( X, implies( X, implies(
% 6.01/6.40 implies( Y, X ), Z ) ) ), :=( Y, implies( X, Z ) ), :=( Z, T )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 2785, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 6.01/6.40 ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 6.01/6.40 , clause( 105465, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105466, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 6.01/6.40 ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 6.01/6.40 , clause( 182, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 6.01/6.40 implies( Y, T ) ) ) ), U ) ) ) ] )
% 6.01/6.40 , 1, clause( 2785, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 6.01/6.40 :=( T, Y ), :=( U, implies( implies( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ), T ), T ) )] ), substitution( 1, [
% 6.01/6.40 :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, implies( implies( Z, X ),
% 6.01/6.40 implies( Z, Y ) ) ), :=( T, T )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 9329, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 6.01/6.40 , implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 6.01/6.40 , clause( 105466, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 6.01/6.40 Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105467, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 6.01/6.40 implies( Y, Z ) ) ) ] )
% 6.01/6.40 , clause( 326, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 6.01/6.40 ) ), U ) ) ) ] )
% 6.01/6.40 , 1, clause( 9329, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 6.01/6.40 , Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, Y )
% 6.01/6.40 , :=( Z, X ), :=( T, implies( Y, Z ) ), :=( U, implies( implies( implies(
% 6.01/6.40 X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, implies( X
% 6.01/6.40 , Y ) ), :=( Y, Z ), :=( Z, Y ), :=( T, implies( implies( implies( X, Y )
% 6.01/6.40 , Z ), implies( Y, Z ) ) )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 12562, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 6.01/6.40 implies( Y, Z ) ) ) ] )
% 6.01/6.40 , clause( 105467, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 6.01/6.40 , implies( Y, Z ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105469, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 6.01/6.40 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 6.01/6.40 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 6.01/6.40 , ~( 'is_a_theorem'( X ) ) ] )
% 6.01/6.40 , 2, clause( 12562, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 6.01/6.40 ), implies( Y, Z ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 6.01/6.40 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 6.01/6.40 , Y ), :=( Z, Z )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 12617, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 6.01/6.40 , clause( 105469, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 6.01/6.40 X, Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105470, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 6.01/6.40 , Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 6.01/6.40 , clause( 12617, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 6.01/6.40 , 1, clause( 1271, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 6.01/6.40 implies( X, implies( implies( Y, Z ), T ) ), implies( X, implies( Z, T )
% 6.01/6.40 ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), T ) ),
% 6.01/6.40 :=( Y, implies( Z, T ) ), :=( Z, X )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 13057, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 6.01/6.40 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 6.01/6.40 , clause( 105470, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105471, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.40 implies( Y, implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 6.01/6.40 ) ), T ) ) ) ] )
% 6.01/6.40 , 1, clause( 13057, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 6.01/6.40 Y, Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 6.01/6.40 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ),
% 6.01/6.40 substitution( 1, [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, X ),
% 6.01/6.40 :=( Z, Y ), :=( T, implies( X, Z ) )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 13374, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 6.01/6.40 implies( Y, implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , clause( 105471, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 6.01/6.40 , implies( Y, implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105472, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , clause( 1300, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 6.01/6.40 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 6.01/6.40 )
% 6.01/6.40 , 1, clause( 13374, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 6.01/6.40 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 6.01/6.40 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ) )] ),
% 6.01/6.40 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Y ) ),
% 6.01/6.40 :=( Z, implies( X, Z ) )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 105270, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , clause( 105472, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.01/6.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 resolution(
% 6.01/6.40 clause( 105473, [] )
% 6.01/6.40 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 6.01/6.40 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 6.01/6.40 , 0, clause( 105270, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 6.01/6.40 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 6.01/6.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 6.01/6.40 Z, c )] )).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 subsumption(
% 6.01/6.40 clause( 105421, [] )
% 6.01/6.40 , clause( 105473, [] )
% 6.01/6.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 end.
% 6.01/6.40
% 6.01/6.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.01/6.40
% 6.01/6.40 Memory use:
% 6.01/6.40
% 6.01/6.40 space for terms: 2615987
% 6.01/6.40 space for clauses: 9127960
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 clauses generated: 736795
% 6.01/6.40 clauses kept: 105422
% 6.01/6.40 clauses selected: 3723
% 6.01/6.40 clauses deleted: 1316
% 6.01/6.40 clauses inuse deleted: 598
% 6.01/6.40
% 6.01/6.40 subsentry: 670401
% 6.01/6.40 literals s-matched: 632690
% 6.01/6.40 literals matched: 632690
% 6.01/6.40 full subsumption: 0
% 6.01/6.40
% 6.01/6.40 checksum: -1024565106
% 6.01/6.40
% 6.01/6.40
% 6.01/6.40 Bliksem ended
%------------------------------------------------------------------------------