TSTP Solution File: LCL026-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:49:23 EDT 2022
% Result : Unsatisfiable 3.64s 4.02s
% Output : Refutation 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 06:05:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.64/4.02 *** allocated 10000 integers for termspace/termends
% 3.64/4.02 *** allocated 10000 integers for clauses
% 3.64/4.02 *** allocated 10000 integers for justifications
% 3.64/4.02 Bliksem 1.12
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Automatic Strategy Selection
% 3.64/4.02
% 3.64/4.02 Clauses:
% 3.64/4.02 [
% 3.64/4.02 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.64/4.02 'is_a_theorem'( Y ) ],
% 3.64/4.02 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 3.64/4.02 [ 'is_a_theorem'( implies( implies( implies( X, falsehood ), falsehood )
% 3.64/4.02 , X ) ) ],
% 3.64/4.02 [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies(
% 3.64/4.02 implies( X, Y ), implies( X, Z ) ) ) ) ],
% 3.64/4.02 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a ) ) ) ]
% 3.64/4.02 ] .
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 percentage equality = 0.000000, percentage horn = 1.000000
% 3.64/4.02 This is a near-Horn, non-equality problem
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Options Used:
% 3.64/4.02
% 3.64/4.02 useres = 1
% 3.64/4.02 useparamod = 0
% 3.64/4.02 useeqrefl = 0
% 3.64/4.02 useeqfact = 0
% 3.64/4.02 usefactor = 1
% 3.64/4.02 usesimpsplitting = 0
% 3.64/4.02 usesimpdemod = 0
% 3.64/4.02 usesimpres = 4
% 3.64/4.02
% 3.64/4.02 resimpinuse = 1000
% 3.64/4.02 resimpclauses = 20000
% 3.64/4.02 substype = standard
% 3.64/4.02 backwardsubs = 1
% 3.64/4.02 selectoldest = 5
% 3.64/4.02
% 3.64/4.02 litorderings [0] = split
% 3.64/4.02 litorderings [1] = liftord
% 3.64/4.02
% 3.64/4.02 termordering = none
% 3.64/4.02
% 3.64/4.02 litapriori = 1
% 3.64/4.02 termapriori = 0
% 3.64/4.02 litaposteriori = 0
% 3.64/4.02 termaposteriori = 0
% 3.64/4.02 demodaposteriori = 0
% 3.64/4.02 ordereqreflfact = 0
% 3.64/4.02
% 3.64/4.02 litselect = negative
% 3.64/4.02
% 3.64/4.02 maxweight = 30000
% 3.64/4.02 maxdepth = 30000
% 3.64/4.02 maxlength = 115
% 3.64/4.02 maxnrvars = 195
% 3.64/4.02 excuselevel = 0
% 3.64/4.02 increasemaxweight = 0
% 3.64/4.02
% 3.64/4.02 maxselected = 10000000
% 3.64/4.02 maxnrclauses = 10000000
% 3.64/4.02
% 3.64/4.02 showgenerated = 0
% 3.64/4.02 showkept = 0
% 3.64/4.02 showselected = 0
% 3.64/4.02 showdeleted = 0
% 3.64/4.02 showresimp = 1
% 3.64/4.02 showstatus = 2000
% 3.64/4.02
% 3.64/4.02 prologoutput = 1
% 3.64/4.02 nrgoals = 5000000
% 3.64/4.02 totalproof = 1
% 3.64/4.02
% 3.64/4.02 Symbols occurring in the translation:
% 3.64/4.02
% 3.64/4.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.64/4.02 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 3.64/4.02 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 3.64/4.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.64/4.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.64/4.02 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.64/4.02 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.64/4.02 falsehood [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.64/4.02 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.64/4.02 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Starting Search:
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 24740
% 3.64/4.02 Kept: 2004
% 3.64/4.02 Inuse: 553
% 3.64/4.02 Deleted: 17
% 3.64/4.02 Deletedinuse: 4
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 38187
% 3.64/4.02 Kept: 4056
% 3.64/4.02 Inuse: 694
% 3.64/4.02 Deleted: 31
% 3.64/4.02 Deletedinuse: 13
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 48298
% 3.64/4.02 Kept: 6102
% 3.64/4.02 Inuse: 792
% 3.64/4.02 Deleted: 33
% 3.64/4.02 Deletedinuse: 13
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 58284
% 3.64/4.02 Kept: 8102
% 3.64/4.02 Inuse: 862
% 3.64/4.02 Deleted: 33
% 3.64/4.02 Deletedinuse: 13
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 65254
% 3.64/4.02 Kept: 10136
% 3.64/4.02 Inuse: 932
% 3.64/4.02 Deleted: 33
% 3.64/4.02 Deletedinuse: 13
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 73218
% 3.64/4.02 Kept: 12259
% 3.64/4.02 Inuse: 990
% 3.64/4.02 Deleted: 33
% 3.64/4.02 Deletedinuse: 13
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 82741
% 3.64/4.02 Kept: 14284
% 3.64/4.02 Inuse: 1050
% 3.64/4.02 Deleted: 36
% 3.64/4.02 Deletedinuse: 14
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 90143
% 3.64/4.02 Kept: 16408
% 3.64/4.02 Inuse: 1094
% 3.64/4.02 Deleted: 37
% 3.64/4.02 Deletedinuse: 15
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 98136
% 3.64/4.02 Kept: 18513
% 3.64/4.02 Inuse: 1149
% 3.64/4.02 Deleted: 37
% 3.64/4.02 Deletedinuse: 15
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying clauses:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 102671
% 3.64/4.02 Kept: 20636
% 3.64/4.02 Inuse: 1181
% 3.64/4.02 Deleted: 211
% 3.64/4.02 Deletedinuse: 16
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 109250
% 3.64/4.02 Kept: 22658
% 3.64/4.02 Inuse: 1232
% 3.64/4.02 Deleted: 212
% 3.64/4.02 Deletedinuse: 16
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 128343
% 3.64/4.02 Kept: 24745
% 3.64/4.02 Inuse: 1367
% 3.64/4.02 Deleted: 213
% 3.64/4.02 Deletedinuse: 16
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 140003
% 3.64/4.02 Kept: 26773
% 3.64/4.02 Inuse: 1451
% 3.64/4.02 Deleted: 215
% 3.64/4.02 Deletedinuse: 17
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 152755
% 3.64/4.02 Kept: 28829
% 3.64/4.02 Inuse: 1525
% 3.64/4.02 Deleted: 218
% 3.64/4.02 Deletedinuse: 19
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 172499
% 3.64/4.02 Kept: 30996
% 3.64/4.02 Inuse: 1648
% 3.64/4.02 Deleted: 220
% 3.64/4.02 Deletedinuse: 19
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 181398
% 3.64/4.02 Kept: 33149
% 3.64/4.02 Inuse: 1688
% 3.64/4.02 Deleted: 220
% 3.64/4.02 Deletedinuse: 19
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 187871
% 3.64/4.02 Kept: 35275
% 3.64/4.02 Inuse: 1716
% 3.64/4.02 Deleted: 221
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 199085
% 3.64/4.02 Kept: 37323
% 3.64/4.02 Inuse: 1773
% 3.64/4.02 Deleted: 221
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 210130
% 3.64/4.02 Kept: 39407
% 3.64/4.02 Inuse: 1815
% 3.64/4.02 Deleted: 221
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying clauses:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 217120
% 3.64/4.02 Kept: 41442
% 3.64/4.02 Inuse: 1838
% 3.64/4.02 Deleted: 314
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 229990
% 3.64/4.02 Kept: 43496
% 3.64/4.02 Inuse: 1907
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 249295
% 3.64/4.02 Kept: 45666
% 3.64/4.02 Inuse: 1998
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 264839
% 3.64/4.02 Kept: 47706
% 3.64/4.02 Inuse: 2090
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 272895
% 3.64/4.02 Kept: 49728
% 3.64/4.02 Inuse: 2143
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 296508
% 3.64/4.02 Kept: 51779
% 3.64/4.02 Inuse: 2252
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 310319
% 3.64/4.02 Kept: 53820
% 3.64/4.02 Inuse: 2290
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 324988
% 3.64/4.02 Kept: 55962
% 3.64/4.02 Inuse: 2327
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 344670
% 3.64/4.02 Kept: 58071
% 3.64/4.02 Inuse: 2407
% 3.64/4.02 Deleted: 315
% 3.64/4.02 Deletedinuse: 20
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 353159
% 3.64/4.02 Kept: 60201
% 3.64/4.02 Inuse: 2442
% 3.64/4.02 Deleted: 316
% 3.64/4.02 Deletedinuse: 21
% 3.64/4.02
% 3.64/4.02 Resimplifying clauses:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 364197
% 3.64/4.02 Kept: 62310
% 3.64/4.02 Inuse: 2487
% 3.64/4.02 Deleted: 400
% 3.64/4.02 Deletedinuse: 21
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 374720
% 3.64/4.02 Kept: 64502
% 3.64/4.02 Inuse: 2551
% 3.64/4.02 Deleted: 400
% 3.64/4.02 Deletedinuse: 21
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 387334
% 3.64/4.02 Kept: 66526
% 3.64/4.02 Inuse: 2612
% 3.64/4.02 Deleted: 400
% 3.64/4.02 Deletedinuse: 21
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Intermediate Status:
% 3.64/4.02 Generated: 396025
% 3.64/4.02 Kept: 68962
% 3.64/4.02 Inuse: 2647
% 3.64/4.02 Deleted: 400
% 3.64/4.02 Deletedinuse: 21
% 3.64/4.02
% 3.64/4.02 Resimplifying inuse:
% 3.64/4.02 Done
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Bliksems!, er is een bewijs:
% 3.64/4.02 % SZS status Unsatisfiable
% 3.64/4.02 % SZS output start Refutation
% 3.64/4.02
% 3.64/4.02 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 3.64/4.02 ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, falsehood ),
% 3.64/4.02 falsehood ), X ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 3.64/4.02 ) ), T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 X ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 19, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( implies( implies( Y, falsehood ), falsehood ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 .
% 3.64/4.02 clause( 22, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.64/4.02 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 3.64/4.02 , Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 23, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 3.64/4.02 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 25, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 .
% 3.64/4.02 clause( 31, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 3.64/4.02 T, Z ) ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 42, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 54, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 56, [ 'is_a_theorem'( implies( falsehood, X ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 58, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 falsehood, X ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 61, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 62, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( falsehood, Y ) ), Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 64, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 3.64/4.02 , Z ) ), implies( X, Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 73, [ 'is_a_theorem'( implies( implies( X, falsehood ), implies( X
% 3.64/4.02 , Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 74, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), implies(
% 3.64/4.02 Y, T ) ) ) ), U ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 76, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, falsehood ), implies( X, Y ) ), Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 81, [ 'is_a_theorem'( implies( implies( implies( X, falsehood ), X
% 3.64/4.02 ), X ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 85, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), X ), X ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 162, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 349, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), Y ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 353, [ 'is_a_theorem'( implies( implies( X, implies( Y, falsehood )
% 3.64/4.02 ), implies( X, implies( Y, Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 357, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Z
% 3.64/4.02 ), Y ) ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 358, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 .
% 3.64/4.02 clause( 442, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( implies( Y, falsehood ), Y ) ), implies( X, Y ) ), Z
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 4502, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 3.64/4.02 ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 4568, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 9987, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.64/4.02 implies( Y, Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 9999, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10368, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 falsehood ), implies( Y, Z ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10369, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10378, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), falsehood ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10659, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( Y, implies( X, Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10706, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Y, Z ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 10953, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.64/4.02 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 24856, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 implies( Y, falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 24911, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.64/4.02 implies( X, Y ), Y ), falsehood ), X ), implies( implies( X, Y ), Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 69574, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 3.64/4.02 ) ) ] )
% 3.64/4.02 .
% 3.64/4.02 clause( 69577, [] )
% 3.64/4.02 .
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 % SZS output end Refutation
% 3.64/4.02 found a proof!
% 3.64/4.02
% 3.64/4.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.64/4.02
% 3.64/4.02 initialclauses(
% 3.64/4.02 [ clause( 69579, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 3.64/4.02 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , clause( 69580, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , clause( 69581, [ 'is_a_theorem'( implies( implies( implies( X, falsehood
% 3.64/4.02 ), falsehood ), X ) ) ] )
% 3.64/4.02 , clause( 69582, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69583, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a
% 3.64/4.02 ), a ) ) ) ] )
% 3.64/4.02 ] ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 3.64/4.02 ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , clause( 69579, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 3.64/4.02 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , clause( 69580, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, falsehood ),
% 3.64/4.02 falsehood ), X ) ) ] )
% 3.64/4.02 , clause( 69581, [ 'is_a_theorem'( implies( implies( implies( X, falsehood
% 3.64/4.02 ), falsehood ), X ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69582, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 69583, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a
% 3.64/4.02 ), a ) ) ) ] )
% 3.64/4.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.64/4.02 falsehood ), falsehood ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 3.64/4.02 , falsehood ), X ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, falsehood ),
% 3.64/4.02 falsehood ), X ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , falsehood ), falsehood ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.64/4.02 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69587, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 3.64/4.02 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 3.64/4.02 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , clause( 69587, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 3.64/4.02 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69588, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 3.64/4.02 Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 3.64/4.02 implies( Z, Y ) ) ), :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , clause( 69588, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69589, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 3.64/4.02 , Y ), implies( X, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 3.64/4.02 , :=( Z, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , clause( 69589, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69591, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.64/4.02 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 3.64/4.02 'is_a_theorem'( T ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] ),
% 3.64/4.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 3.64/4.02 ) ), T ) ) ) ] )
% 3.64/4.02 , clause( 69591, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.64/4.02 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 3.64/4.02 'is_a_theorem'( T ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69592, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 3.64/4.02 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 3.64/4.02 , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 3.64/4.02 , clause( 69592, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69594, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 3.64/4.02 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 10, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 3.64/4.02 substitution( 1, [ :=( X, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69594, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 3.64/4.02 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.64/4.02 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69596, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 7, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 3.64/4.02 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 3.64/4.02 , clause( 69596, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69597, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ) ] )
% 3.64/4.02 , clause( 12, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , X ), Y ) ) ) ] )
% 3.64/4.02 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies(
% 3.64/4.02 implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, Y )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69597, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69598, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ), Y ) ) ) ] )
% 3.64/4.02 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, implies( implies(
% 3.64/4.02 implies( Y, falsehood ), falsehood ), Y ) ) )] ), substitution( 1, [ :=(
% 3.64/4.02 X, implies( implies( implies( Y, falsehood ), falsehood ), Y ) ), :=( Y,
% 3.64/4.02 X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69598, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.64/4.02 , falsehood ), falsehood ), Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69600, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 implies( Y, falsehood ), falsehood ), Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 3.64/4.02 ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 17, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.64/4.02 , falsehood ), falsehood ), Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=(
% 3.64/4.02 X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 19, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( implies( implies( Y, falsehood ), falsehood ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , clause( 69600, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 implies( Y, falsehood ), falsehood ), Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 3.64/4.02 ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69601, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 3.64/4.02 Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies(
% 3.64/4.02 X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 3.64/4.02 ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 3.64/4.02 implies( implies( X, implies( Y, Z ) ), implies( X, Y ) ), implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( X, Z ) ) ) )] ), substitution( 1
% 3.64/4.02 , [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies( X, Y ) ),
% 3.64/4.02 :=( Z, implies( X, Z ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 22, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.64/4.02 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 3.64/4.02 , Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69601, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.64/4.02 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69602, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 3.64/4.02 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 3.64/4.02 , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 3.64/4.02 ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 3.64/4.02 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 3.64/4.02 implies( Y, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y
% 3.64/4.02 , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ),
% 3.64/4.02 :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 23, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 3.64/4.02 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 3.64/4.02 , clause( 69602, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 3.64/4.02 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69604, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.64/4.02 Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ]
% 3.64/4.02 )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 3.64/4.02 implies( implies( X, Y ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=(
% 3.64/4.02 X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 25, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , clause( 69604, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z )
% 3.64/4.02 ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69605, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 3.64/4.02 implies( T, Z ) ) ) ) ) ] )
% 3.64/4.02 , clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 3.64/4.02 X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ), substitution( 1, [
% 3.64/4.02 :=( X, implies( Y, implies( Z, implies( T, Z ) ) ) ), :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 31, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 3.64/4.02 T, Z ) ) ) ) ) ] )
% 3.64/4.02 , clause( 69605, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 3.64/4.02 implies( T, Z ) ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69607, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 31, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 3.64/4.02 implies( T, Z ) ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 3.64/4.02 T, Z ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 3.64/4.02 , :=( Z, Z ), :=( T, T )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 42, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 3.64/4.02 , clause( 69607, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.64/4.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69608, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , clause( 19, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( implies( implies( Y, falsehood ), falsehood ), Y ) ), Z ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 3.64/4.02 , implies( implies( Y, falsehood ), falsehood ) ), implies( X, Y ) ) )] )
% 3.64/4.02 , substitution( 1, [ :=( X, X ), :=( Y, implies( implies( Y, falsehood )
% 3.64/4.02 , falsehood ) ), :=( Z, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 54, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , clause( 69608, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69609, [ 'is_a_theorem'( implies( falsehood, X ) ) ] )
% 3.64/4.02 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 54, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, falsehood ), :=( Y, implies( X, falsehood )
% 3.64/4.02 ), :=( Z, implies( falsehood, X ) )] ), substitution( 1, [ :=( X,
% 3.64/4.02 falsehood ), :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 56, [ 'is_a_theorem'( implies( falsehood, X ) ) ] )
% 3.64/4.02 , clause( 69609, [ 'is_a_theorem'( implies( falsehood, X ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69611, [ ~( 'is_a_theorem'( implies( implies( falsehood, X ), Y ) )
% 3.64/4.02 ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 56, [ 'is_a_theorem'( implies( falsehood, X ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( falsehood, X ) ), :=( Y, Y )] ),
% 3.64/4.02 substitution( 1, [ :=( X, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 58, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 falsehood, X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69611, [ ~( 'is_a_theorem'( implies( implies( falsehood, X ), Y )
% 3.64/4.02 ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.64/4.02 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69612, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , clause( 58, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 falsehood, X ), Y ) ) ) ] )
% 3.64/4.02 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, implies( falsehood,
% 3.64/4.02 Y ) ) )] ), substitution( 1, [ :=( X, implies( falsehood, Y ) ), :=( Y, X
% 3.64/4.02 )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 61, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) ) ] )
% 3.64/4.02 , clause( 69612, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69614, [ ~( 'is_a_theorem'( implies( implies( X, implies( falsehood
% 3.64/4.02 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 61, [ 'is_a_theorem'( implies( X, implies( falsehood, Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( falsehood, Y ) ) ),
% 3.64/4.02 :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 62, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( falsehood, Y ) ), Z ) ) ) ] )
% 3.64/4.02 , clause( 69614, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 3.64/4.02 falsehood, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69615, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 X ), Z ) ), implies( X, Z ) ) ) ] )
% 3.64/4.02 , clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 22, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.64/4.02 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z ) )
% 3.64/4.02 ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X, implies( implies(
% 3.64/4.02 Y, X ), Z ) ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 3.64/4.02 :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 64, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 3.64/4.02 , Z ) ), implies( X, Z ) ) ) ] )
% 3.64/4.02 , clause( 69615, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69616, [ 'is_a_theorem'( implies( implies( X, falsehood ), implies(
% 3.64/4.02 X, Y ) ) ) ] )
% 3.64/4.02 , clause( 62, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( falsehood, Y ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 3.64/4.02 , falsehood ), implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ),
% 3.64/4.02 :=( Y, falsehood ), :=( Z, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 73, [ 'is_a_theorem'( implies( implies( X, falsehood ), implies( X
% 3.64/4.02 , Y ) ) ) ] )
% 3.64/4.02 , clause( 69616, [ 'is_a_theorem'( implies( implies( X, falsehood ),
% 3.64/4.02 implies( X, Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69618, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 3.64/4.02 ) ) ), 'is_a_theorem'( U ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 23, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 3.64/4.02 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 3.64/4.02 , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ), :=( Y, U )] )
% 3.64/4.02 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 74, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.64/4.02 implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ), implies(
% 3.64/4.02 Y, T ) ) ) ), U ) ) ) ] )
% 3.64/4.02 , clause( 69618, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 3.64/4.02 ) ) ), 'is_a_theorem'( U ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.64/4.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69620, [ ~( 'is_a_theorem'( implies( implies( implies( X, falsehood
% 3.64/4.02 ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 73, [ 'is_a_theorem'( implies( implies( X, falsehood ),
% 3.64/4.02 implies( X, Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( X, falsehood ), implies( X
% 3.64/4.02 , Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 76, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, falsehood ), implies( X, Y ) ), Z ) ) ) ] )
% 3.64/4.02 , clause( 69620, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 3.64/4.02 falsehood ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69621, [ 'is_a_theorem'( implies( implies( implies( X, falsehood )
% 3.64/4.02 , X ), X ) ) ] )
% 3.64/4.02 , clause( 25, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , 1, clause( 54, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , falsehood ), falsehood ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, falsehood ), :=( Z, implies(
% 3.64/4.02 implies( implies( X, falsehood ), X ), X ) )] ), substitution( 1, [ :=( X
% 3.64/4.02 , implies( implies( X, falsehood ), X ) ), :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 81, [ 'is_a_theorem'( implies( implies( implies( X, falsehood ), X
% 3.64/4.02 ), X ) ) ] )
% 3.64/4.02 , clause( 69621, [ 'is_a_theorem'( implies( implies( implies( X, falsehood
% 3.64/4.02 ), X ), X ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69623, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.64/4.02 falsehood ), X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 81, [ 'is_a_theorem'( implies( implies( implies( X, falsehood
% 3.64/4.02 ), X ), X ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, falsehood ), X
% 3.64/4.02 ), X ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 85, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), X ), X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69623, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , falsehood ), X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 3.64/4.02 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69624, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 3.64/4.02 , clause( 42, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 3.64/4.02 , 1, clause( 22, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.64/4.02 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 3.64/4.02 , Y ) ), T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, implies(
% 3.64/4.02 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 3.64/4.02 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( Y, implies( Z,
% 3.64/4.02 Y ) ) ), :=( Z, T )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 162, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 3.64/4.02 , clause( 69624, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69625, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , clause( 74, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 3.64/4.02 implies( Y, T ) ) ) ), U ) ) ) ] )
% 3.64/4.02 , 1, clause( 64, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 3.64/4.02 :=( T, Y ), :=( U, implies( implies( X, Y ), implies( implies( Z, X ),
% 3.64/4.02 implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ),
% 3.64/4.02 :=( Y, Z ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , clause( 69625, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69626, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), Y ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , clause( 85, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, falsehood ), X ), X ), Y ) ) ) ] )
% 3.64/4.02 , 1, clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( X, implies(
% 3.64/4.02 implies( Y, falsehood ), Y ) ), implies( X, Y ) ) )] ), substitution( 1
% 3.64/4.02 , [ :=( X, implies( implies( Y, falsehood ), Y ) ), :=( Y, Y ), :=( Z, X
% 3.64/4.02 )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 349, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), Y ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , clause( 69626, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , falsehood ), Y ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69627, [ 'is_a_theorem'( implies( implies( X, implies( Y, falsehood
% 3.64/4.02 ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 76, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, falsehood ), implies( X, Y ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 3.64/4.02 , implies( Y, falsehood ) ), implies( X, implies( Y, Z ) ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( Y, falsehood ) ), :=( Y, implies( Y, Z
% 3.64/4.02 ) ), :=( Z, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 353, [ 'is_a_theorem'( implies( implies( X, implies( Y, falsehood )
% 3.64/4.02 ), implies( X, implies( Y, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69627, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 falsehood ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69628, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 Z ), Y ) ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ] )
% 3.64/4.02 , clause( 25, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), X ), implies( implies( X, Y ), Y ) ), Z ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , 1, clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 3.64/4.02 , implies( implies( Y, Z ), Y ) ), implies( X, implies( implies( Y, Z ),
% 3.64/4.02 Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), Y ) ),
% 3.64/4.02 :=( Y, implies( implies( Y, Z ), Z ) ), :=( Z, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 357, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Z
% 3.64/4.02 ), Y ) ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69628, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , Z ), Y ) ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69630, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 3.64/4.02 ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Z, X ), implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 3.64/4.02 ), :=( Y, Y ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 358, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , clause( 69630, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 3.64/4.02 ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69632, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.64/4.02 implies( Y, falsehood ), Y ) ), implies( X, Y ) ), Z ) ) ),
% 3.64/4.02 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 349, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, falsehood ), Y ) ), implies( X, Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( implies( Y,
% 3.64/4.02 falsehood ), Y ) ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1
% 3.64/4.02 , [ :=( X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 442, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( implies( Y, falsehood ), Y ) ), implies( X, Y ) ), Z
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , clause( 69632, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.64/4.02 implies( Y, falsehood ), Y ) ), implies( X, Y ) ), Z ) ) ),
% 3.64/4.02 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69633, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( Y, X ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 357, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, Z ), Y ) ), implies( X, implies( implies( Y, Z ), Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, Y ) ), :=( Z,
% 3.64/4.02 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 3.64/4.02 X, X ), :=( Y, X ), :=( Z, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 4502, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 3.64/4.02 ) ] )
% 3.64/4.02 , clause( 69633, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69635, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 4502, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.64/4.02 Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 3.64/4.02 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 4568, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.64/4.02 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 3.64/4.02 , clause( 69635, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69636, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.64/4.02 implies( Y, Z ) ) ) ] )
% 3.64/4.02 , clause( 358, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , 1, clause( 162, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, Y ),
% 3.64/4.02 :=( T, implies( implies( implies( X, Y ), Z ), implies( Y, Z ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, Y ),
% 3.64/4.02 :=( Z, X ), :=( T, implies( Y, Z ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 9987, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.64/4.02 implies( Y, Z ) ) ) ] )
% 3.64/4.02 , clause( 69636, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.64/4.02 implies( Y, Z ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69638, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.64/4.02 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 9987, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 3.64/4.02 , implies( Y, Z ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 3.64/4.02 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 3.64/4.02 , Y ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 9999, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 , clause( 69638, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69639, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 falsehood ), implies( Y, Z ) ) ) ] )
% 3.64/4.02 , clause( 9999, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 353, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.64/4.02 falsehood ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, falsehood ), :=( T,
% 3.64/4.02 implies( implies( implies( X, Y ), falsehood ), implies( Y, Z ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( implies( X, Y ), falsehood ) ), :=( Y
% 3.64/4.02 , Y ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10368, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 falsehood ), implies( Y, Z ) ) ) ] )
% 3.64/4.02 , clause( 69639, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 falsehood ), implies( Y, Z ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69640, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 3.64/4.02 , clause( 9999, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 341, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 3.64/4.02 implies( X, implies( implies( Y, Z ), T ) ), implies( X, implies( Z, T )
% 3.64/4.02 ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), T ) ),
% 3.64/4.02 :=( Y, implies( Z, T ) ), :=( Z, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10369, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 3.64/4.02 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 3.64/4.02 , clause( 69640, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 3.64/4.02 , Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69642, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.64/4.02 Y ), falsehood ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.64/4.02 , ~( 'is_a_theorem'( X ) ) ] )
% 3.64/4.02 , 2, clause( 10368, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.64/4.02 falsehood ), implies( Y, Z ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), falsehood
% 3.64/4.02 ), implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 3.64/4.02 :=( Y, Y ), :=( Z, Z )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10378, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), falsehood ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 , clause( 69642, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , Y ), falsehood ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69643, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( Y, implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 3.64/4.02 ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 10369, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.64/4.02 Y, Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 3.64/4.02 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, X ),
% 3.64/4.02 :=( Z, Y ), :=( T, implies( X, Z ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10659, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( Y, implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69643, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 3.64/4.02 implies( Y, implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69644, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Y, Z ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 358, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , 1, clause( 10659, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 3.64/4.02 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Y ) ),
% 3.64/4.02 :=( Z, implies( X, Z ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10706, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 Y, Z ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , clause( 69644, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69645, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.64/4.02 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 3.64/4.02 , clause( 358, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 3.64/4.02 )
% 3.64/4.02 , 1, clause( 10706, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 3.64/4.02 implies( implies( implies( X, Y ), implies( X, Z ) ), T ), implies(
% 3.64/4.02 implies( Y, Z ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) )
% 3.64/4.02 , :=( Y, implies( implies( X, Y ), implies( X, Z ) ) ), :=( Z, T )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 10953, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.64/4.02 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 3.64/4.02 , clause( 69645, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.64/4.02 ), implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.64/4.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69646, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 implies( Y, falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 442, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( X, implies( implies( Y, falsehood ), Y ) ), implies( X, Y ) ), Z
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , 1, clause( 10953, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 3.64/4.02 , Y ), implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( Y, falsehood ), X ) ),
% 3.64/4.02 :=( Y, Y ), :=( Z, implies( implies( X, Y ), implies( implies( implies( Y
% 3.64/4.02 , falsehood ), X ), Y ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 3.64/4.02 falsehood ) ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( implies(
% 3.64/4.02 Y, falsehood ), X ), Y ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 24856, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.64/4.02 implies( Y, falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , clause( 69646, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( implies( Y, falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69647, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.64/4.02 implies( X, Y ), Y ), falsehood ), X ), implies( implies( X, Y ), Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , clause( 4568, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 3.64/4.02 , 1, clause( 24856, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.64/4.02 implies( implies( Y, falsehood ), X ), Y ) ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 3.64/4.02 implies( implies( implies( X, Y ), Y ), falsehood ), X ), implies(
% 3.64/4.02 implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 3.64/4.02 implies( implies( X, Y ), Y ) )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 24911, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.64/4.02 implies( X, Y ), Y ), falsehood ), X ), implies( implies( X, Y ), Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , clause( 69647, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.64/4.02 implies( X, Y ), Y ), falsehood ), X ), implies( implies( X, Y ), Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69648, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 10378, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.64/4.02 implies( implies( X, Y ), falsehood ), implies( Y, Z ) ), T ) ) ) ] )
% 3.64/4.02 , 1, clause( 24911, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.64/4.02 implies( X, Y ), Y ), falsehood ), X ), implies( implies( X, Y ), Y ) ) )
% 3.64/4.02 ] )
% 3.64/4.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), X ) ), :=( Y, X )
% 3.64/4.02 , :=( Z, Y ), :=( T, implies( implies( implies( X, Y ), X ), X ) )] ),
% 3.64/4.02 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X )] )).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 69574, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 3.64/4.02 ) ) ] )
% 3.64/4.02 , clause( 69648, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.64/4.02 X ) ) ] )
% 3.64/4.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.64/4.02 )] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 resolution(
% 3.64/4.02 clause( 69649, [] )
% 3.64/4.02 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a
% 3.64/4.02 ) ) ) ] )
% 3.64/4.02 , 0, clause( 69574, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X
% 3.64/4.02 ), X ) ) ] )
% 3.64/4.02 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 3.64/4.02 ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 subsumption(
% 3.64/4.02 clause( 69577, [] )
% 3.64/4.02 , clause( 69649, [] )
% 3.64/4.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 end.
% 3.64/4.02
% 3.64/4.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.64/4.02
% 3.64/4.02 Memory use:
% 3.64/4.02
% 3.64/4.02 space for terms: 1673958
% 3.64/4.02 space for clauses: 6041165
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 clauses generated: 406276
% 3.64/4.02 clauses kept: 69578
% 3.64/4.02 clauses selected: 2740
% 3.64/4.02 clauses deleted: 400
% 3.64/4.02 clauses inuse deleted: 21
% 3.64/4.02
% 3.64/4.02 subsentry: 355766
% 3.64/4.02 literals s-matched: 337099
% 3.64/4.02 literals matched: 337099
% 3.64/4.02 full subsumption: 0
% 3.64/4.02
% 3.64/4.02 checksum: 689480088
% 3.64/4.02
% 3.64/4.02
% 3.64/4.02 Bliksem ended
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