TSTP Solution File: LCL071-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL071-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:49:55 EDT 2022
% Result : Unsatisfiable 4.91s 5.37s
% Output : Refutation 4.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL071-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.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 : Sat Jul 2 15:27:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.98/3.36 *** allocated 10000 integers for termspace/termends
% 2.98/3.36 *** allocated 10000 integers for clauses
% 2.98/3.36 *** allocated 10000 integers for justifications
% 2.98/3.36 Bliksem 1.12
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Automatic Strategy Selection
% 2.98/3.36
% 2.98/3.36 Clauses:
% 2.98/3.36 [
% 2.98/3.36 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 2.98/3.36 'is_a_theorem'( Y ) ],
% 2.98/3.36 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies( Y, Z
% 2.98/3.36 ) ) ) ],
% 2.98/3.36 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies( not(
% 2.98/3.36 X ), Z ) ) ) ],
% 2.98/3.36 [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z ) ), implies(
% 2.98/3.36 X, implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ) ],
% 2.98/3.36 [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 2.98/3.36 ] .
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 percentage equality = 0.000000, percentage horn = 1.000000
% 2.98/3.36 This is a near-Horn, non-equality problem
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Options Used:
% 2.98/3.36
% 2.98/3.36 useres = 1
% 2.98/3.36 useparamod = 0
% 2.98/3.36 useeqrefl = 0
% 2.98/3.36 useeqfact = 0
% 2.98/3.36 usefactor = 1
% 2.98/3.36 usesimpsplitting = 0
% 2.98/3.36 usesimpdemod = 0
% 2.98/3.36 usesimpres = 4
% 2.98/3.36
% 2.98/3.36 resimpinuse = 1000
% 2.98/3.36 resimpclauses = 20000
% 2.98/3.36 substype = standard
% 2.98/3.36 backwardsubs = 1
% 2.98/3.36 selectoldest = 5
% 2.98/3.36
% 2.98/3.36 litorderings [0] = split
% 2.98/3.36 litorderings [1] = liftord
% 2.98/3.36
% 2.98/3.36 termordering = none
% 2.98/3.36
% 2.98/3.36 litapriori = 1
% 2.98/3.36 termapriori = 0
% 2.98/3.36 litaposteriori = 0
% 2.98/3.36 termaposteriori = 0
% 2.98/3.36 demodaposteriori = 0
% 2.98/3.36 ordereqreflfact = 0
% 2.98/3.36
% 2.98/3.36 litselect = negative
% 2.98/3.36
% 2.98/3.36 maxweight = 30000
% 2.98/3.36 maxdepth = 30000
% 2.98/3.36 maxlength = 115
% 2.98/3.36 maxnrvars = 195
% 2.98/3.36 excuselevel = 0
% 2.98/3.36 increasemaxweight = 0
% 2.98/3.36
% 2.98/3.36 maxselected = 10000000
% 2.98/3.36 maxnrclauses = 10000000
% 2.98/3.36
% 2.98/3.36 showgenerated = 0
% 2.98/3.36 showkept = 0
% 2.98/3.36 showselected = 0
% 2.98/3.36 showdeleted = 0
% 2.98/3.36 showresimp = 1
% 2.98/3.36 showstatus = 2000
% 2.98/3.36
% 2.98/3.36 prologoutput = 1
% 2.98/3.36 nrgoals = 5000000
% 2.98/3.36 totalproof = 1
% 2.98/3.36
% 2.98/3.36 Symbols occurring in the translation:
% 2.98/3.36
% 2.98/3.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.98/3.36 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 2.98/3.36 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 2.98/3.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.98/3.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.98/3.36 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 2.98/3.36 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 2.98/3.36 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 2.98/3.36 a [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Starting Search:
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 11344
% 2.98/3.36 Kept: 2008
% 2.98/3.36 Inuse: 450
% 2.98/3.36 Deleted: 7
% 2.98/3.36 Deletedinuse: 2
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 19130
% 2.98/3.36 Kept: 4013
% 2.98/3.36 Inuse: 623
% 2.98/3.36 Deleted: 8
% 2.98/3.36 Deletedinuse: 2
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 33784
% 2.98/3.36 Kept: 6068
% 2.98/3.36 Inuse: 879
% 2.98/3.36 Deleted: 11
% 2.98/3.36 Deletedinuse: 3
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 43988
% 2.98/3.36 Kept: 8121
% 2.98/3.36 Inuse: 1015
% 2.98/3.36 Deleted: 13
% 2.98/3.36 Deletedinuse: 3
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 50508
% 2.98/3.36 Kept: 10153
% 2.98/3.36 Inuse: 1076
% 2.98/3.36 Deleted: 14
% 2.98/3.36 Deletedinuse: 4
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 63833
% 2.98/3.36 Kept: 12202
% 2.98/3.36 Inuse: 1221
% 2.98/3.36 Deleted: 17
% 2.98/3.36 Deletedinuse: 5
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 76478
% 2.98/3.36 Kept: 14313
% 2.98/3.36 Inuse: 1347
% 2.98/3.36 Deleted: 19
% 2.98/3.36 Deletedinuse: 5
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 89912
% 2.98/3.36 Kept: 16450
% 2.98/3.36 Inuse: 1450
% 2.98/3.36 Deleted: 22
% 2.98/3.36 Deletedinuse: 5
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 95257
% 2.98/3.36 Kept: 18458
% 2.98/3.36 Inuse: 1500
% 2.98/3.36 Deleted: 31
% 2.98/3.36 Deletedinuse: 5
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying clauses:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 102921
% 2.98/3.36 Kept: 20605
% 2.98/3.36 Inuse: 1563
% 2.98/3.36 Deleted: 75
% 2.98/3.36 Deletedinuse: 6
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36 Resimplifying inuse:
% 2.98/3.36 Done
% 2.98/3.36
% 2.98/3.36
% 2.98/3.36 Intermediate Status:
% 2.98/3.36 Generated: 113399
% 2.98/3.36 Kept: 22726
% 2.98/3.36 Inuse: 1719
% 2.98/3.36 Deleted: 80
% 2.98/3.36 Deletedinuse: 10
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 124383
% 4.91/5.37 Kept: 24830
% 4.91/5.37 Inuse: 1810
% 4.91/5.37 Deleted: 80
% 4.91/5.37 Deletedinuse: 10
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 134405
% 4.91/5.37 Kept: 26838
% 4.91/5.37 Inuse: 1967
% 4.91/5.37 Deleted: 85
% 4.91/5.37 Deletedinuse: 13
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 145427
% 4.91/5.37 Kept: 28919
% 4.91/5.37 Inuse: 2064
% 4.91/5.37 Deleted: 85
% 4.91/5.37 Deletedinuse: 13
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 158449
% 4.91/5.37 Kept: 30927
% 4.91/5.37 Inuse: 2145
% 4.91/5.37 Deleted: 85
% 4.91/5.37 Deletedinuse: 13
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 171000
% 4.91/5.37 Kept: 33027
% 4.91/5.37 Inuse: 2236
% 4.91/5.37 Deleted: 86
% 4.91/5.37 Deletedinuse: 13
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 181189
% 4.91/5.37 Kept: 35046
% 4.91/5.37 Inuse: 2358
% 4.91/5.37 Deleted: 87
% 4.91/5.37 Deletedinuse: 13
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 192628
% 4.91/5.37 Kept: 37107
% 4.91/5.37 Inuse: 2409
% 4.91/5.37 Deleted: 88
% 4.91/5.37 Deletedinuse: 14
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 196999
% 4.91/5.37 Kept: 39112
% 4.91/5.37 Inuse: 2433
% 4.91/5.37 Deleted: 88
% 4.91/5.37 Deletedinuse: 14
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying clauses:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 204893
% 4.91/5.37 Kept: 41138
% 4.91/5.37 Inuse: 2494
% 4.91/5.37 Deleted: 183
% 4.91/5.37 Deletedinuse: 15
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 215857
% 4.91/5.37 Kept: 43248
% 4.91/5.37 Inuse: 2545
% 4.91/5.37 Deleted: 183
% 4.91/5.37 Deletedinuse: 15
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 218677
% 4.91/5.37 Kept: 45386
% 4.91/5.37 Inuse: 2566
% 4.91/5.37 Deleted: 185
% 4.91/5.37 Deletedinuse: 17
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 220945
% 4.91/5.37 Kept: 47388
% 4.91/5.37 Inuse: 2581
% 4.91/5.37 Deleted: 186
% 4.91/5.37 Deletedinuse: 18
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 224726
% 4.91/5.37 Kept: 49501
% 4.91/5.37 Inuse: 2611
% 4.91/5.37 Deleted: 186
% 4.91/5.37 Deletedinuse: 18
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 228059
% 4.91/5.37 Kept: 51656
% 4.91/5.37 Inuse: 2625
% 4.91/5.37 Deleted: 187
% 4.91/5.37 Deletedinuse: 19
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 232161
% 4.91/5.37 Kept: 53678
% 4.91/5.37 Inuse: 2642
% 4.91/5.37 Deleted: 187
% 4.91/5.37 Deletedinuse: 19
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 236996
% 4.91/5.37 Kept: 55949
% 4.91/5.37 Inuse: 2665
% 4.91/5.37 Deleted: 187
% 4.91/5.37 Deletedinuse: 19
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 244276
% 4.91/5.37 Kept: 57951
% 4.91/5.37 Inuse: 2704
% 4.91/5.37 Deleted: 188
% 4.91/5.37 Deletedinuse: 20
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 254192
% 4.91/5.37 Kept: 60237
% 4.91/5.37 Inuse: 2775
% 4.91/5.37 Deleted: 188
% 4.91/5.37 Deletedinuse: 20
% 4.91/5.37
% 4.91/5.37 Resimplifying clauses:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 263679
% 4.91/5.37 Kept: 62447
% 4.91/5.37 Inuse: 2845
% 4.91/5.37 Deleted: 706
% 4.91/5.37 Deletedinuse: 54
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 273189
% 4.91/5.37 Kept: 64546
% 4.91/5.37 Inuse: 2885
% 4.91/5.37 Deleted: 706
% 4.91/5.37 Deletedinuse: 54
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 286306
% 4.91/5.37 Kept: 66554
% 4.91/5.37 Inuse: 2967
% 4.91/5.37 Deleted: 711
% 4.91/5.37 Deletedinuse: 59
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 303265
% 4.91/5.37 Kept: 68717
% 4.91/5.37 Inuse: 3096
% 4.91/5.37 Deleted: 716
% 4.91/5.37 Deletedinuse: 63
% 4.91/5.37
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% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
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% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 314923
% 4.91/5.37 Kept: 70860
% 4.91/5.37 Inuse: 3174
% 4.91/5.37 Deleted: 725
% 4.91/5.37 Deletedinuse: 72
% 4.91/5.37
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% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 320523
% 4.91/5.37 Kept: 72920
% 4.91/5.37 Inuse: 3191
% 4.91/5.37 Deleted: 725
% 4.91/5.37 Deletedinuse: 72
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% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 329167
% 4.91/5.37 Kept: 75054
% 4.91/5.37 Inuse: 3219
% 4.91/5.37 Deleted: 725
% 4.91/5.37 Deletedinuse: 72
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 336197
% 4.91/5.37 Kept: 77269
% 4.91/5.37 Inuse: 3244
% 4.91/5.37 Deleted: 725
% 4.91/5.37 Deletedinuse: 72
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 346278
% 4.91/5.37 Kept: 79351
% 4.91/5.37 Inuse: 3299
% 4.91/5.37 Deleted: 727
% 4.91/5.37 Deletedinuse: 74
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% 4.91/5.37 Resimplifying clauses:
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% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 352934
% 4.91/5.37 Kept: 81447
% 4.91/5.37 Inuse: 3349
% 4.91/5.37 Deleted: 914
% 4.91/5.37 Deletedinuse: 75
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 357177
% 4.91/5.37 Kept: 83477
% 4.91/5.37 Inuse: 3388
% 4.91/5.37 Deleted: 915
% 4.91/5.37 Deletedinuse: 76
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% 4.91/5.37 Generated: 360003
% 4.91/5.37 Kept: 85637
% 4.91/5.37 Inuse: 3401
% 4.91/5.37 Deleted: 915
% 4.91/5.37 Deletedinuse: 76
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 363670
% 4.91/5.37 Kept: 87753
% 4.91/5.37 Inuse: 3419
% 4.91/5.37 Deleted: 915
% 4.91/5.37 Deletedinuse: 76
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% 4.91/5.37 Generated: 369715
% 4.91/5.37 Kept: 89900
% 4.91/5.37 Inuse: 3460
% 4.91/5.37 Deleted: 919
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Generated: 377952
% 4.91/5.37 Kept: 92005
% 4.91/5.37 Inuse: 3514
% 4.91/5.37 Deleted: 919
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 381261
% 4.91/5.37 Kept: 94008
% 4.91/5.37 Inuse: 3527
% 4.91/5.37 Deleted: 919
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Generated: 383910
% 4.91/5.37 Kept: 96108
% 4.91/5.37 Inuse: 3538
% 4.91/5.37 Deleted: 919
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 386741
% 4.91/5.37 Kept: 98213
% 4.91/5.37 Inuse: 3550
% 4.91/5.37 Deleted: 919
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 394241
% 4.91/5.37 Kept: 100390
% 4.91/5.37 Inuse: 3584
% 4.91/5.37 Deleted: 920
% 4.91/5.37 Deletedinuse: 80
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% 4.91/5.37 Resimplifying clauses:
% 4.91/5.37 Done
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% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 400069
% 4.91/5.37 Kept: 102424
% 4.91/5.37 Inuse: 3616
% 4.91/5.37 Deleted: 1288
% 4.91/5.37 Deletedinuse: 81
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% 4.91/5.37 Generated: 407155
% 4.91/5.37 Kept: 104500
% 4.91/5.37 Inuse: 3679
% 4.91/5.37 Deleted: 1288
% 4.91/5.37 Deletedinuse: 81
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% 4.91/5.37 Done
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% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 412034
% 4.91/5.37 Kept: 106803
% 4.91/5.37 Inuse: 3708
% 4.91/5.37 Deleted: 1288
% 4.91/5.37 Deletedinuse: 81
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% 4.91/5.37 Done
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% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
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% 4.91/5.37
% 4.91/5.37 Intermediate Status:
% 4.91/5.37 Generated: 418549
% 4.91/5.37 Kept: 108940
% 4.91/5.37 Inuse: 3746
% 4.91/5.37 Deleted: 1289
% 4.91/5.37 Deletedinuse: 81
% 4.91/5.37
% 4.91/5.37 Resimplifying inuse:
% 4.91/5.37 Done
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 Bliksems!, er is een bewijs:
% 4.91/5.37 % SZS status Unsatisfiable
% 4.91/5.37 % SZS output start Refutation
% 4.91/5.37
% 4.91/5.37 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 4.91/5.37 ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z ) )
% 4.91/5.37 , implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 .
% 4.91/5.37 clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 7, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies( Y, Z
% 4.91/5.37 ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ), Z )
% 4.91/5.37 , implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 4.91/5.37 implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 16, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X, Z
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 17, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 25, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 4.91/5.37 X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 32, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Z ), implies( implies( T, Z ), implies(
% 4.91/5.37 implies( Y, T ), Z ) ) ), U ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 56, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( implies(
% 4.91/5.37 Z, T ) ), implies( T, U ) ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 63, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, implies( not( implies( Z, T ) ), implies( T, U ) ) ) ), W ) )
% 4.91/5.37 ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 65, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 4.91/5.37 implies( T, U ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z,
% 4.91/5.37 implies( T, U ) ) ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 67, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 4.91/5.37 T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 .
% 4.91/5.37 clause( 68, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 72, [ 'is_a_theorem'( implies( X, implies( not( Y ), implies( Z,
% 4.91/5.37 implies( Y, T ) ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 73, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( not( Y ), implies( Z, implies( Y, T ) ) ) ), U ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 447, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Z
% 4.91/5.37 , implies( Y, implies( X, T ) ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 518, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 4.91/5.37 implies( Z, implies( X, Y ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 525, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 527, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , X ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 548, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( Y ), Z
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 563, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 566, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 4.91/5.37 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 620, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 643, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 897, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ), Y
% 4.91/5.37 ), implies( not( Y ), Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 917, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 4.91/5.37 implies( implies( X, Y ), Z ) ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 1078, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Y ), implies( not( Y ), Z ) ), T ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 .
% 4.91/5.37 clause( 1123, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 4.91/5.37 implies( Z, Z ), X ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 1177, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 4.91/5.37 implies( Z, Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 1183, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 99785, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 4.91/5.37 Y ), Z ) ), implies( X, Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 99837, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ),
% 4.91/5.37 Z ), implies( implies( Y, Z ), Z ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 99861, [ 'is_a_theorem'( implies( implies( X, implies( not( not( X
% 4.91/5.37 ) ), Y ) ), implies( not( not( X ) ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 109437, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 109439, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 not( not( X ) ), X ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 109663, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 4.91/5.37 implies( not( Y ), X ), Y ) ) ) ] )
% 4.91/5.37 .
% 4.91/5.37 clause( 110373, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 4.91/5.37 )
% 4.91/5.37 .
% 4.91/5.37 clause( 110390, [] )
% 4.91/5.37 .
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 % SZS output end Refutation
% 4.91/5.37 found a proof!
% 4.91/5.37
% 4.91/5.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.91/5.37
% 4.91/5.37 initialclauses(
% 4.91/5.37 [ clause( 110392, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 4.91/5.37 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 4.91/5.37 , clause( 110393, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 4.91/5.37 , implies( Y, Z ) ) ) ] )
% 4.91/5.37 , clause( 110394, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 4.91/5.37 , implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110395, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 4.91/5.37 , Z ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ),
% 4.91/5.37 Z ) ) ) ) ) ] )
% 4.91/5.37 , clause( 110396, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 ] ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 4.91/5.37 ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , clause( 110392, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 4.91/5.37 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.91/5.37 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 , clause( 110393, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 4.91/5.37 , implies( Y, Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110394, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 4.91/5.37 , implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z ) )
% 4.91/5.37 , implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 , clause( 110395, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 4.91/5.37 , Z ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ),
% 4.91/5.37 Z ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , clause( 110396, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110398, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 4.91/5.37 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 4.91/5.37 , Y ), :=( Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110398, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 4.91/5.37 X, Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110400, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 4.91/5.37 , Y ), Z ), implies( not( X ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X )
% 4.91/5.37 , :=( Y, Y ), :=( Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110400, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 4.91/5.37 X, Y ), Z ), implies( not( X ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110401, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies(
% 4.91/5.37 Y, Z ) ) ) ] )
% 4.91/5.37 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 4.91/5.37 not( implies( X, Y ) ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X
% 4.91/5.37 , implies( X, Y ) ), :=( Y, Z ), :=( Z, implies( Y, Z ) )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 7, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies( Y, Z
% 4.91/5.37 ) ) ) ] )
% 4.91/5.37 , clause( 110401, [ 'is_a_theorem'( implies( not( implies( X, Y ) ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110402, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 4.91/5.37 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( Z, Y ) ),
% 4.91/5.37 :=( Y, X ), :=( Z, implies( Y, X ) )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 , clause( 110402, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.91/5.37 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110403, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 4.91/5.37 , Z ), implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z
% 4.91/5.37 ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z )
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( Y ) ), :=( Z, Z ), :=( T,
% 4.91/5.37 implies( implies( implies( X, not( Y ) ), Z ), implies( implies( T, Z ),
% 4.91/5.37 implies( implies( Y, T ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 4.91/5.37 implies( X, not( Y ) ), Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ), Z )
% 4.91/5.37 , implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 110403, [ 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 4.91/5.37 ), Z ), implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110405, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 4.91/5.37 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 4.91/5.37 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110405, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 4.91/5.37 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110407, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, Y )
% 4.91/5.37 ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 7, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), implies(
% 4.91/5.37 Y, Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( not( implies( X, Y ) ), implies( Y
% 4.91/5.37 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 4.91/5.37 Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 4.91/5.37 implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110407, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, Y
% 4.91/5.37 ) ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110408, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X
% 4.91/5.37 , Z ) ) ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( not( X ), Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, Z ) ), :=( Y, Y ), :=( Z,
% 4.91/5.37 implies( not( X ), implies( Y, implies( X, Z ) ) ) )] ), substitution( 1
% 4.91/5.37 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( X, Z ) ) )] )
% 4.91/5.37 ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 16, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies( X, Z
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , clause( 110408, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies(
% 4.91/5.37 X, Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110409, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( Y, Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( Z, X ) ), :=( Y, Y ), :=( Z,
% 4.91/5.37 implies( X, implies( Y, implies( Z, X ) ) ) )] ), substitution( 1, [ :=(
% 4.91/5.37 X, Z ), :=( Y, X ), :=( Z, implies( Y, implies( Z, X ) ) )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 17, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 , clause( 110409, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 4.91/5.37 ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( not( X ), Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z
% 4.91/5.37 ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z )
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( implies( T, Z ), implies( implies(
% 4.91/5.37 X, T ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( X, Y )
% 4.91/5.37 , Z ) ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 110410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 4.91/5.37 , implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110412, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 17, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 4.91/5.37 ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 4.91/5.37 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 4.91/5.37 ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 25, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110412, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110414, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( Y
% 4.91/5.37 , implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 16, [ 'is_a_theorem'( implies( not( X ), implies( Y, implies(
% 4.91/5.37 X, Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( Y, implies( X, Z
% 4.91/5.37 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 4.91/5.37 , Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( not(
% 4.91/5.37 X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110414, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 4.91/5.37 Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110416, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 4.91/5.37 , not( Y ) ), Z ), implies( implies( T, Z ), implies( implies( Y, T ), Z
% 4.91/5.37 ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 4.91/5.37 , Z ), implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, not( Y ) ), Z
% 4.91/5.37 ), implies( implies( T, Z ), implies( implies( Y, T ), Z ) ) ) ), :=( Y
% 4.91/5.37 , U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T
% 4.91/5.37 )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 32, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Z ), implies( implies( T, Z ), implies(
% 4.91/5.37 implies( Y, T ), Z ) ) ), U ) ) ) ] )
% 4.91/5.37 , clause( 110416, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 4.91/5.37 X, not( Y ) ), Z ), implies( implies( T, Z ), implies( implies( Y, T ), Z
% 4.91/5.37 ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.91/5.37 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110417, [ 'is_a_theorem'( implies( X, implies( Y, implies( not(
% 4.91/5.37 implies( Z, T ) ), implies( T, U ) ) ) ) ) ] )
% 4.91/5.37 , clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 not( implies( X, Y ) ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 17, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 4.91/5.37 ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 4.91/5.37 X, implies( Y, implies( not( implies( Z, T ) ), implies( T, U ) ) ) ) )] )
% 4.91/5.37 , substitution( 1, [ :=( X, implies( not( implies( Z, T ) ), implies( T,
% 4.91/5.37 U ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 56, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( implies(
% 4.91/5.37 Z, T ) ), implies( T, U ) ) ) ) ) ] )
% 4.91/5.37 , clause( 110417, [ 'is_a_theorem'( implies( X, implies( Y, implies( not(
% 4.91/5.37 implies( Z, T ) ), implies( T, U ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.91/5.37 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110419, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( not( implies( Z, T ) ), implies( T, U ) ) ) ), W ) ) ),
% 4.91/5.37 'is_a_theorem'( W ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 56, [ 'is_a_theorem'( implies( X, implies( Y, implies( not(
% 4.91/5.37 implies( Z, T ) ), implies( T, U ) ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not(
% 4.91/5.37 implies( Z, T ) ), implies( T, U ) ) ) ) ), :=( Y, W )] ), substitution(
% 4.91/5.37 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 63, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( Y, implies( not( implies( Z, T ) ), implies( T, U ) ) ) ), W ) )
% 4.91/5.37 ) ] )
% 4.91/5.37 , clause( 110419, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( not( implies( Z, T ) ), implies( T, U ) ) ) ), W ) ) ),
% 4.91/5.37 'is_a_theorem'( W ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.91/5.37 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110420, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 4.91/5.37 Z, implies( T, U ) ) ) ), implies( implies( T, X ), implies( Y, implies(
% 4.91/5.37 Z, implies( T, U ) ) ) ) ) ) ] )
% 4.91/5.37 , clause( 25, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( T, U ) ), :=( Y, Y ), :=( Z, Z ),
% 4.91/5.37 :=( T, implies( implies( X, implies( Y, implies( Z, implies( T, U ) ) ) )
% 4.91/5.37 , implies( implies( T, X ), implies( Y, implies( Z, implies( T, U ) ) ) )
% 4.91/5.37 ) )] ), substitution( 1, [ :=( X, T ), :=( Y, U ), :=( Z, implies( Y,
% 4.91/5.37 implies( Z, implies( T, U ) ) ) ), :=( T, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 65, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 4.91/5.37 implies( T, U ) ) ) ), implies( implies( T, X ), implies( Y, implies( Z,
% 4.91/5.37 implies( T, U ) ) ) ) ) ) ] )
% 4.91/5.37 , clause( 110420, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( Z, implies( T, U ) ) ) ), implies( implies( T, X ), implies( Y,
% 4.91/5.37 implies( Z, implies( T, U ) ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.91/5.37 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110421, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 4.91/5.37 Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( Z, T ) ), :=( Y, Y ), :=( Z,
% 4.91/5.37 implies( implies( X, implies( Y, implies( Z, T ) ) ), implies( implies( Z
% 4.91/5.37 , X ), implies( Y, implies( Z, T ) ) ) ) )] ), substitution( 1, [ :=( X,
% 4.91/5.37 Z ), :=( Y, T ), :=( Z, implies( Y, implies( Z, T ) ) ), :=( T, X )] )
% 4.91/5.37 ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 67, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Z,
% 4.91/5.37 T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , clause( 110421, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 4.91/5.37 implies( Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T
% 4.91/5.37 ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110422, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , clause( 5, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 4.91/5.37 implies( X, implies( Y, Z ) ), implies( implies( implies( T, Y ), X ),
% 4.91/5.37 implies( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( T, Y ) ),
% 4.91/5.37 :=( Y, Z ), :=( Z, implies( Y, Z ) ), :=( T, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 68, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , clause( 110422, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 4.91/5.37 , implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110423, [ 'is_a_theorem'( implies( X, implies( not( Y ), implies( Z
% 4.91/5.37 , implies( Y, T ) ) ) ) ) ] )
% 4.91/5.37 , clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 not( X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 4.91/5.37 X, implies( not( Y ), implies( Z, implies( Y, T ) ) ) ) )] ),
% 4.91/5.37 substitution( 1, [ :=( X, implies( not( Y ), implies( Z, implies( Y, T )
% 4.91/5.37 ) ) ), :=( Y, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 72, [ 'is_a_theorem'( implies( X, implies( not( Y ), implies( Z,
% 4.91/5.37 implies( Y, T ) ) ) ) ) ] )
% 4.91/5.37 , clause( 110423, [ 'is_a_theorem'( implies( X, implies( not( Y ), implies(
% 4.91/5.37 Z, implies( Y, T ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110425, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 4.91/5.37 , implies( Z, implies( Y, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 72, [ 'is_a_theorem'( implies( X, implies( not( Y ), implies(
% 4.91/5.37 Z, implies( Y, T ) ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, implies( not( Y ), implies( Z,
% 4.91/5.37 implies( Y, T ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ),
% 4.91/5.37 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 73, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 4.91/5.37 implies( not( Y ), implies( Z, implies( Y, T ) ) ) ), U ) ) ) ] )
% 4.91/5.37 , clause( 110425, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( Y
% 4.91/5.37 ), implies( Z, implies( Y, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.91/5.37 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110426, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 4.91/5.37 Z, implies( Y, implies( X, T ) ) ) ) ) ] )
% 4.91/5.37 , clause( 26, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 not( X ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 65, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 4.91/5.37 Z, implies( T, U ) ) ) ), implies( implies( T, X ), implies( Y, implies(
% 4.91/5.37 Z, implies( T, U ) ) ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, T ) ),
% 4.91/5.37 :=( T, implies( implies( X, not( Y ) ), implies( Z, implies( Y, implies(
% 4.91/5.37 X, T ) ) ) ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=(
% 4.91/5.37 Z, Y ), :=( T, X ), :=( U, T )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 447, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Z
% 4.91/5.37 , implies( Y, implies( X, T ) ) ) ) ) ] )
% 4.91/5.37 , clause( 110426, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 4.91/5.37 implies( Z, implies( Y, implies( X, T ) ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110427, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 4.91/5.37 implies( Z, implies( X, Y ) ) ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 67, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 4.91/5.37 Z, T ) ) ), implies( implies( Z, X ), implies( Y, implies( Z, T ) ) ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z,
% 4.91/5.37 implies( implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ) )] )
% 4.91/5.37 , substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 4.91/5.37 :=( T, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 518, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 4.91/5.37 implies( Z, implies( X, Y ) ) ) ) ] )
% 4.91/5.37 , clause( 110427, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 4.91/5.37 , implies( Z, implies( X, Y ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110428, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 518, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 4.91/5.37 , implies( Z, implies( X, Y ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, implies( X, implies(
% 4.91/5.37 Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )
% 4.91/5.37 ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 525, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 4.91/5.37 , clause( 110428, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.91/5.37 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110429, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 4.91/5.37 , clause( 63, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, implies( not( implies( Z, T ) ), implies( T, U ) ) ) ), W )
% 4.91/5.37 ) ) ] )
% 4.91/5.37 , 1, clause( 525, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U ),
% 4.91/5.37 :=( U, W ), :=( W, implies( X, X ) )] ), substitution( 1, [ :=( X,
% 4.91/5.37 implies( Y, implies( Z, implies( not( implies( T, U ) ), implies( U, W )
% 4.91/5.37 ) ) ) ), :=( Y, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 527, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 4.91/5.37 , clause( 110429, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110431, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 4.91/5.37 'is_a_theorem'( Y ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 527, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 4.91/5.37 substitution( 1, [ :=( X, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , X ), Y ) ) ) ] )
% 4.91/5.37 , clause( 110431, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 4.91/5.37 'is_a_theorem'( Y ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 4.91/5.37 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110432, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( Y )
% 4.91/5.37 , Z ) ) ) ) ] )
% 4.91/5.37 , clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, X ), Y ) ) ) ] )
% 4.91/5.37 , 1, clause( 447, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 4.91/5.37 implies( Z, implies( Y, implies( X, T ) ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, implies( X, implies( Y,
% 4.91/5.37 implies( not( Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, not( Y ) ),
% 4.91/5.37 :=( Y, Y ), :=( Z, X ), :=( T, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 548, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( Y ), Z
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , clause( 110432, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( Y
% 4.91/5.37 ), Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110433, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, X ), Y ) ) ) ] )
% 4.91/5.37 , 1, clause( 20, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 4.91/5.37 implies( implies( T, Z ), implies( implies( X, T ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( implies(
% 4.91/5.37 X, implies( Y, Z ) ), implies( implies( Y, X ), implies( Y, Z ) ) ) )] )
% 4.91/5.37 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( Y, Z ) ),
% 4.91/5.37 :=( T, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 563, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , clause( 110433, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 4.91/5.37 , implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110434, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 4.91/5.37 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 4.91/5.37 , clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, X ), Y ) ) ) ] )
% 4.91/5.37 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z
% 4.91/5.37 ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z )
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( not( X ), Y ) ), :=( Y, implies(
% 4.91/5.37 implies( not( X ), Y ), implies( implies( Z, Y ), implies( implies( X, Z
% 4.91/5.37 ), Y ) ) ) )] ), substitution( 1, [ :=( X, implies( not( X ), Y ) ),
% 4.91/5.37 :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 566, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 4.91/5.37 implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 4.91/5.37 , clause( 110434, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 4.91/5.37 implies( implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110435, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , clause( 73, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( not( Y ), implies( Z, implies( Y, T ) ) ) ), U ) ) ) ] )
% 4.91/5.37 , 1, clause( 548, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( Y
% 4.91/5.37 ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 4.91/5.37 :=( U, implies( X, implies( not( X ), Y ) ) )] ), substitution( 1, [ :=(
% 4.91/5.37 X, implies( Z, implies( not( T ), implies( U, implies( T, W ) ) ) ) ),
% 4.91/5.37 :=( Y, X ), :=( Z, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 620, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 4.91/5.37 , clause( 110435, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.91/5.37 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110437, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 4.91/5.37 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 620, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) )
% 4.91/5.37 ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 4.91/5.37 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 643, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110437, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 4.91/5.37 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110438, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 4.91/5.37 , Y ), implies( not( Y ), Z ) ) ) ] )
% 4.91/5.37 , clause( 643, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, implies( not( X ), Y ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 68, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 4.91/5.37 implies( implies( implies( T, Y ), X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies(
% 4.91/5.37 implies( X, not( Y ) ), Y ), implies( not( Y ), Z ) ) )] ),
% 4.91/5.37 substitution( 1, [ :=( X, Y ), :=( Y, not( Y ) ), :=( Z, Z ), :=( T, X )] )
% 4.91/5.37 ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 897, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ), Y
% 4.91/5.37 ), implies( not( Y ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110438, [ 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 4.91/5.37 ), Y ), implies( not( Y ), Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110439, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 4.91/5.37 implies( implies( X, Y ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 643, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, implies( not( X ), Y ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Z
% 4.91/5.37 ) ), implies( X, implies( implies( T, Z ), implies( implies( Y, T ), Z )
% 4.91/5.37 ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, implies( X, implies(
% 4.91/5.37 implies( Y, Z ), implies( implies( X, Y ), Z ) ) ) )] ), substitution( 1
% 4.91/5.37 , [ :=( X, X ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 917, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 4.91/5.37 implies( implies( X, Y ), Z ) ) ) ) ] )
% 4.91/5.37 , clause( 110439, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 4.91/5.37 implies( implies( X, Y ), Z ) ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110441, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 4.91/5.37 , not( Y ) ), Y ), implies( not( Y ), Z ) ), T ) ) ), 'is_a_theorem'( T )
% 4.91/5.37 ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 897, [ 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 4.91/5.37 ), Y ), implies( not( Y ), Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, not( Y ) ), Y
% 4.91/5.37 ), implies( not( Y ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X,
% 4.91/5.37 X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 1078, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Y ), implies( not( Y ), Z ) ), T ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , clause( 110441, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 4.91/5.37 X, not( Y ) ), Y ), implies( not( Y ), Z ) ), T ) ) ), 'is_a_theorem'( T
% 4.91/5.37 ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110442, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 4.91/5.37 implies( implies( Z, Z ), X ), Y ) ) ) ] )
% 4.91/5.37 , clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 X, X ), Y ) ) ) ] )
% 4.91/5.37 , 1, clause( 917, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 4.91/5.37 implies( implies( X, Y ), Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( implies( X, Y ),
% 4.91/5.37 implies( implies( implies( Z, Z ), X ), Y ) ) )] ), substitution( 1, [
% 4.91/5.37 :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 1123, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 4.91/5.37 implies( Z, Z ), X ), Y ) ) ) ] )
% 4.91/5.37 , clause( 110442, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 4.91/5.37 implies( implies( Z, Z ), X ), Y ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110443, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 4.91/5.37 implies( Z, Y ) ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 1123, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 4.91/5.37 implies( implies( Z, Z ), X ), Y ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies(
% 4.91/5.37 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y
% 4.91/5.37 ), :=( Y, implies( Z, Y ) ), :=( Z, X )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 1177, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 4.91/5.37 implies( Z, Y ) ) ) ] )
% 4.91/5.37 , clause( 110443, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 4.91/5.37 , implies( Z, Y ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110445, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 4.91/5.37 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 4.91/5.37 , ~( 'is_a_theorem'( X ) ) ] )
% 4.91/5.37 , 2, clause( 1177, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 4.91/5.37 , implies( Z, Y ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 4.91/5.37 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 4.91/5.37 , Y ), :=( Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 1183, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 4.91/5.37 , clause( 110445, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 4.91/5.37 X, X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110446, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 4.91/5.37 , Y ), Z ) ), implies( X, Z ) ) ) ] )
% 4.91/5.37 , clause( 1183, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 4.91/5.37 , 1, clause( 563, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 4.91/5.37 , implies( implies( Y, X ), implies( Y, Z ) ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 4.91/5.37 implies( X, implies( implies( Y, Y ), Z ) ), implies( X, Z ) ) )] ),
% 4.91/5.37 substitution( 1, [ :=( X, implies( implies( Y, Y ), Z ) ), :=( Y, X ),
% 4.91/5.37 :=( Z, Z )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 99785, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 4.91/5.37 Y ), Z ) ), implies( X, Z ) ) ) ] )
% 4.91/5.37 , clause( 110446, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 4.91/5.37 Y, Y ), Z ) ), implies( X, Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110447, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 4.91/5.37 , Z ), implies( implies( Y, Z ), Z ) ) ) ] )
% 4.91/5.37 , clause( 32, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Z ), implies( implies( T, Z ), implies(
% 4.91/5.37 implies( Y, T ), Z ) ) ), U ) ) ) ] )
% 4.91/5.37 , 1, clause( 99785, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 4.91/5.37 Y, Y ), Z ) ), implies( X, Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z ),
% 4.91/5.37 :=( U, implies( implies( implies( X, not( Y ) ), Z ), implies( implies( Y
% 4.91/5.37 , Z ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( X, not( Y
% 4.91/5.37 ) ), Z ) ), :=( Y, Z ), :=( Z, implies( implies( Y, Z ), Z ) )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 99837, [ 'is_a_theorem'( implies( implies( implies( X, not( Y ) ),
% 4.91/5.37 Z ), implies( implies( Y, Z ), Z ) ) ) ] )
% 4.91/5.37 , clause( 110447, [ 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 4.91/5.37 ), Z ), implies( implies( Y, Z ), Z ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.91/5.37 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110448, [ 'is_a_theorem'( implies( implies( X, implies( not( not( X
% 4.91/5.37 ) ), Y ) ), implies( not( not( X ) ), Y ) ) ) ] )
% 4.91/5.37 , clause( 1078, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 4.91/5.37 implies( implies( X, not( Y ) ), Y ), implies( not( Y ), Z ) ), T ) ) ) ]
% 4.91/5.37 )
% 4.91/5.37 , 1, clause( 99837, [ 'is_a_theorem'( implies( implies( implies( X, not( Y
% 4.91/5.37 ) ), Z ), implies( implies( Y, Z ), Z ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, Z ), :=( Y, not( X ) ), :=( Z, Y ), :=( T,
% 4.91/5.37 implies( implies( X, implies( not( not( X ) ), Y ) ), implies( not( not(
% 4.91/5.37 X ) ), Y ) ) )] ), substitution( 1, [ :=( X, implies( Z, not( not( X ) )
% 4.91/5.37 ) ), :=( Y, X ), :=( Z, implies( not( not( X ) ), Y ) )] )).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 subsumption(
% 4.91/5.37 clause( 99861, [ 'is_a_theorem'( implies( implies( X, implies( not( not( X
% 4.91/5.37 ) ), Y ) ), implies( not( not( X ) ), Y ) ) ) ] )
% 4.91/5.37 , clause( 110448, [ 'is_a_theorem'( implies( implies( X, implies( not( not(
% 4.91/5.37 X ) ), Y ) ), implies( not( not( X ) ), Y ) ) ) ] )
% 4.91/5.37 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.91/5.37 )] ) ).
% 4.91/5.37
% 4.91/5.37
% 4.91/5.37 resolution(
% 4.91/5.37 clause( 110449, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 4.91/5.37 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 4.91/5.37 , implies( Y, X ) ), Z ) ) ) ] )
% 4.91/5.37 , 1, clause( 99861, [ 'is_a_theorem'( implies( implies( X, implies( not(
% 4.91/5.37 not( X ) ), Y ) ), implies( not( not( X ) ), Y ) ) ) ] )
% 4.91/5.37 , 0, substitution( 0, [ :=( X, X ), :=( Y, not( not( X ) ) ), :=( Z,
% 5.01/5.38 implies( not( not( X ) ), X ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 5.01/5.38 , X )] )).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 subsumption(
% 5.01/5.38 clause( 109437, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 5.01/5.38 , clause( 110449, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 5.01/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 resolution(
% 5.01/5.38 clause( 110451, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 5.01/5.38 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 5.01/5.38 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 5.01/5.38 , ~( 'is_a_theorem'( X ) ) ] )
% 5.01/5.38 , 2, clause( 109437, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 5.01/5.38 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 5.01/5.38 , substitution( 1, [ :=( X, X )] )).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 subsumption(
% 5.01/5.38 clause( 109439, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.01/5.38 not( not( X ) ), X ), Y ) ) ) ] )
% 5.01/5.38 , clause( 110451, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 5.01/5.38 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 5.01/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 5.01/5.38 ), ==>( 1, 0 )] ) ).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 resolution(
% 5.01/5.38 clause( 110452, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.01/5.38 implies( not( Y ), X ), Y ) ) ) ] )
% 5.01/5.38 , clause( 109439, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies(
% 5.01/5.38 implies( not( not( X ) ), X ), Y ) ) ) ] )
% 5.01/5.38 , 1, clause( 566, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 5.01/5.38 implies( implies( Z, Y ), implies( implies( X, Z ), Y ) ) ) ) ] )
% 5.01/5.38 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( X, Y ),
% 5.01/5.38 implies( implies( not( Y ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 5.01/5.38 not( Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 subsumption(
% 5.01/5.38 clause( 109663, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.01/5.38 implies( not( Y ), X ), Y ) ) ) ] )
% 5.01/5.38 , clause( 110452, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.01/5.38 implies( not( Y ), X ), Y ) ) ) ] )
% 5.01/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.01/5.38 )] ) ).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 resolution(
% 5.01/5.38 clause( 110453, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 5.01/5.38 )
% 5.01/5.38 , clause( 529, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 5.01/5.38 X, X ), Y ) ) ) ] )
% 5.01/5.38 , 1, clause( 109663, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 5.01/5.38 implies( not( Y ), X ), Y ) ) ) ] )
% 5.01/5.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( not( X ), X )
% 5.01/5.38 , X ) )] ), substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 subsumption(
% 5.01/5.38 clause( 110373, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 5.01/5.38 )
% 5.01/5.38 , clause( 110453, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) )
% 5.01/5.38 ] )
% 5.01/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 resolution(
% 5.01/5.38 clause( 110454, [] )
% 5.01/5.38 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( a ), a ), a ) ) )
% 5.01/5.38 ] )
% 5.01/5.38 , 0, clause( 110373, [ 'is_a_theorem'( implies( implies( not( X ), X ), X )
% 5.01/5.38 ) ] )
% 5.01/5.38 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 subsumption(
% 5.01/5.38 clause( 110390, [] )
% 5.01/5.38 , clause( 110454, [] )
% 5.01/5.38 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 end.
% 5.01/5.38
% 5.01/5.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.01/5.38
% 5.01/5.38 Memory use:
% 5.01/5.38
% 5.01/5.38 space for terms: 2476082
% 5.01/5.38 space for clauses: 10535485
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 clauses generated: 426428
% 5.01/5.38 clauses kept: 110391
% 5.01/5.38 clauses selected: 3834
% 5.01/5.38 clauses deleted: 1289
% 5.01/5.38 clauses inuse deleted: 81
% 5.01/5.38
% 5.01/5.38 subsentry: 354433
% 5.01/5.38 literals s-matched: 317327
% 5.01/5.38 literals matched: 317327
% 5.01/5.38 full subsumption: 0
% 5.01/5.38
% 5.01/5.38 checksum: 636125438
% 5.01/5.38
% 5.01/5.38
% 5.01/5.38 Bliksem ended
%------------------------------------------------------------------------------