TSTP Solution File: LCL115-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL115-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:50:33 EDT 2022
% Result : Unsatisfiable 1.45s 1.81s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL115-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 13:11:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.43/1.81 *** allocated 10000 integers for termspace/termends
% 1.43/1.81 *** allocated 10000 integers for clauses
% 1.43/1.81 *** allocated 10000 integers for justifications
% 1.43/1.81 Bliksem 1.12
% 1.43/1.81
% 1.43/1.81
% 1.43/1.81 Automatic Strategy Selection
% 1.43/1.81
% 1.43/1.81 Clauses:
% 1.43/1.81 [
% 1.43/1.81 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.43/1.81 'is_a_theorem'( Y ) ],
% 1.43/1.81 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 1.43/1.81 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.43/1.81 implies( X, Z ) ) ) ) ],
% 1.43/1.81 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ), implies(
% 1.43/1.81 implies( Y, X ), X ) ) ) ],
% 1.43/1.81 [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.43/1.81 ) ) ) ],
% 1.43/1.81 [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not( b ) ) ) ) ]
% 1.43/1.81 ] .
% 1.43/1.81
% 1.43/1.81
% 1.43/1.81 percentage equality = 0.000000, percentage horn = 1.000000
% 1.43/1.81 This is a near-Horn, non-equality problem
% 1.43/1.81
% 1.43/1.81
% 1.43/1.81 Options Used:
% 1.43/1.81
% 1.43/1.81 useres = 1
% 1.43/1.81 useparamod = 0
% 1.43/1.81 useeqrefl = 0
% 1.43/1.81 useeqfact = 0
% 1.43/1.81 usefactor = 1
% 1.43/1.81 usesimpsplitting = 0
% 1.43/1.81 usesimpdemod = 0
% 1.43/1.81 usesimpres = 4
% 1.43/1.81
% 1.43/1.81 resimpinuse = 1000
% 1.45/1.81 resimpclauses = 20000
% 1.45/1.81 substype = standard
% 1.45/1.81 backwardsubs = 1
% 1.45/1.81 selectoldest = 5
% 1.45/1.81
% 1.45/1.81 litorderings [0] = split
% 1.45/1.81 litorderings [1] = liftord
% 1.45/1.81
% 1.45/1.81 termordering = none
% 1.45/1.81
% 1.45/1.81 litapriori = 1
% 1.45/1.81 termapriori = 0
% 1.45/1.81 litaposteriori = 0
% 1.45/1.81 termaposteriori = 0
% 1.45/1.81 demodaposteriori = 0
% 1.45/1.81 ordereqreflfact = 0
% 1.45/1.81
% 1.45/1.81 litselect = negative
% 1.45/1.81
% 1.45/1.81 maxweight = 30000
% 1.45/1.81 maxdepth = 30000
% 1.45/1.81 maxlength = 115
% 1.45/1.81 maxnrvars = 195
% 1.45/1.81 excuselevel = 0
% 1.45/1.81 increasemaxweight = 0
% 1.45/1.81
% 1.45/1.81 maxselected = 10000000
% 1.45/1.81 maxnrclauses = 10000000
% 1.45/1.81
% 1.45/1.81 showgenerated = 0
% 1.45/1.81 showkept = 0
% 1.45/1.81 showselected = 0
% 1.45/1.81 showdeleted = 0
% 1.45/1.81 showresimp = 1
% 1.45/1.81 showstatus = 2000
% 1.45/1.81
% 1.45/1.81 prologoutput = 1
% 1.45/1.81 nrgoals = 5000000
% 1.45/1.81 totalproof = 1
% 1.45/1.81
% 1.45/1.81 Symbols occurring in the translation:
% 1.45/1.81
% 1.45/1.81 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.45/1.81 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 1.45/1.81 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 1.45/1.81 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.45/1.81 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.45/1.81 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.45/1.81 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.45/1.81 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.45/1.81 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.45/1.81 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Starting Search:
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 8323
% 1.45/1.81 Kept: 2022
% 1.45/1.81 Inuse: 409
% 1.45/1.81 Deleted: 2
% 1.45/1.81 Deletedinuse: 0
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 17202
% 1.45/1.81 Kept: 4068
% 1.45/1.81 Inuse: 633
% 1.45/1.81 Deleted: 2
% 1.45/1.81 Deletedinuse: 0
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 25110
% 1.45/1.81 Kept: 6105
% 1.45/1.81 Inuse: 749
% 1.45/1.81 Deleted: 2
% 1.45/1.81 Deletedinuse: 0
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 30707
% 1.45/1.81 Kept: 8112
% 1.45/1.81 Inuse: 857
% 1.45/1.81 Deleted: 4
% 1.45/1.81 Deletedinuse: 2
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 36916
% 1.45/1.81 Kept: 10176
% 1.45/1.81 Inuse: 920
% 1.45/1.81 Deleted: 4
% 1.45/1.81 Deletedinuse: 2
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 48589
% 1.45/1.81 Kept: 12208
% 1.45/1.81 Inuse: 1138
% 1.45/1.81 Deleted: 4
% 1.45/1.81 Deletedinuse: 2
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 57365
% 1.45/1.81 Kept: 14277
% 1.45/1.81 Inuse: 1249
% 1.45/1.81 Deleted: 15
% 1.45/1.81 Deletedinuse: 13
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 66156
% 1.45/1.81 Kept: 16281
% 1.45/1.81 Inuse: 1355
% 1.45/1.81 Deleted: 15
% 1.45/1.81 Deletedinuse: 13
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 76006
% 1.45/1.81 Kept: 18457
% 1.45/1.81 Inuse: 1473
% 1.45/1.81 Deleted: 19
% 1.45/1.81 Deletedinuse: 15
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying clauses:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 85414
% 1.45/1.81 Kept: 20551
% 1.45/1.81 Inuse: 1575
% 1.45/1.81 Deleted: 224
% 1.45/1.81 Deletedinuse: 16
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 94286
% 1.45/1.81 Kept: 22681
% 1.45/1.81 Inuse: 1697
% 1.45/1.81 Deleted: 224
% 1.45/1.81 Deletedinuse: 16
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 102920
% 1.45/1.81 Kept: 24911
% 1.45/1.81 Inuse: 1802
% 1.45/1.81 Deleted: 224
% 1.45/1.81 Deletedinuse: 16
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81 Resimplifying inuse:
% 1.45/1.81 Done
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Intermediate Status:
% 1.45/1.81 Generated: 108484
% 1.45/1.81 Kept: 26956
% 1.45/1.81 Inuse: 1841
% 1.45/1.81 Deleted: 225
% 1.45/1.81 Deletedinuse: 17
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Bliksems!, er is een bewijs:
% 1.45/1.81 % SZS status Unsatisfiable
% 1.45/1.81 % SZS output start Refutation
% 1.45/1.81
% 1.45/1.81 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.45/1.81 ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.45/1.81 , Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ),
% 1.45/1.81 implies( implies( Y, X ), X ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 4, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 5, [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not( b ) )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.45/1.81 implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 1.45/1.81 ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 .
% 1.45/1.81 clause( 11, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.45/1.81 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 30, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( implies( not( Y ), not( X ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.45/1.81 X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( X ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 39, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X ) ) )
% 1.45/1.81 ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 47, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.45/1.81 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 49, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.45/1.81 not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 60, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X )
% 1.45/1.81 ), Z ), Z ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 61, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, implies( Y, X ) ), Z ), Z ), T ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 244, [ 'is_a_theorem'( implies( implies( not( X ), not( implies( Y
% 1.45/1.81 , Z ) ) ), implies( Z, X ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 360, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.45/1.81 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 419, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( not( Y ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 686, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 708, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( not( X ) ), X ), Y ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 725, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 1.45/1.81 ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 802, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.45/1.81 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 14348, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 1.45/1.81 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 27299, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.45/1.81 Y, not( X ) ) ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 27306, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 .
% 1.45/1.81 clause( 27315, [] )
% 1.45/1.81 .
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 % SZS output end Refutation
% 1.45/1.81 found a proof!
% 1.45/1.81
% 1.45/1.81 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.45/1.81
% 1.45/1.81 initialclauses(
% 1.45/1.81 [ clause( 27317, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.45/1.81 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.45/1.81 , clause( 27318, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 , clause( 27319, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , clause( 27320, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ),
% 1.45/1.81 implies( implies( Y, X ), X ) ) ) ] )
% 1.45/1.81 , clause( 27321, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ) ] )
% 1.45/1.81 , clause( 27322, [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not(
% 1.45/1.81 b ) ) ) ) ] )
% 1.45/1.81 ] ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.45/1.81 ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , clause( 27317, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.45/1.81 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 , clause( 27318, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.45/1.81 , Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , clause( 27319, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ),
% 1.45/1.81 implies( implies( Y, X ), X ) ) ) ] )
% 1.45/1.81 , clause( 27320, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ),
% 1.45/1.81 implies( implies( Y, X ), X ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 4, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ) ] )
% 1.45/1.81 , clause( 27321, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 5, [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not( b ) )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 27322, [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not(
% 1.45/1.81 b ) ) ) ) ] )
% 1.45/1.81 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27324, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.45/1.81 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.45/1.81 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.45/1.81 implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27324, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.45/1.81 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27326, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.45/1.81 not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), not( Y ) ),
% 1.45/1.81 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.45/1.81 , Y )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27326, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.45/1.81 not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.45/1.81 , implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.45/1.81 Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 1.45/1.81 implies( Z, Y ) ) ), :=( Y, X )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 1.45/1.81 ] )
% 1.45/1.81 , clause( 27327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27328, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.45/1.81 , implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 1.45/1.81 implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y
% 1.45/1.81 ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 , clause( 27328, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27330, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.45/1.81 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.45/1.81 ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.45/1.81 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.45/1.81 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , clause( 27330, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.45/1.81 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.45/1.81 ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27332, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.45/1.81 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 1.45/1.81 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.45/1.81 ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 11, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.45/1.81 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.45/1.81 , clause( 27332, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.45/1.81 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27334, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.45/1.81 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.45/1.81 , Y ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.45/1.81 , clause( 27334, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.45/1.81 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27335, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( Y, Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( not( X ),
% 1.45/1.81 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, not(
% 1.45/1.81 X ) ), :=( Z, implies( X, Y ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 30, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.45/1.81 , clause( 27335, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27336, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( implies( not( Y ), not( X ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 1.45/1.81 implies( X, Y ), Z ), implies( implies( not( Y ), not( X ) ), Z ) ) )] )
% 1.45/1.81 , substitution( 1, [ :=( X, implies( not( Y ), not( X ) ) ), :=( Y,
% 1.45/1.81 implies( X, Y ) ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( implies( not( Y ), not( X ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27336, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( implies( not( Y ), not( X ) ), Z ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27338, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 1.45/1.81 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 30, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 1.45/1.81 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.45/1.81 X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27338, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 1.45/1.81 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27339, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( X ), Z ) ) ) ] )
% 1.45/1.81 , clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.45/1.81 implies( X, Y ), Z ), implies( not( X ), Z ) ) )] ), substitution( 1, [
% 1.45/1.81 :=( X, not( X ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( X ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27339, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( X ), Z ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27340, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 36, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( X ), Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( not( X
% 1.45/1.81 ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X, not( X ) ), :=( Y
% 1.45/1.81 , not( Y ) ), :=( Z, implies( Y, X ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 39, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X ) ) )
% 1.45/1.81 ] )
% 1.45/1.81 , clause( 27340, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27341, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.45/1.81 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.45/1.81 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.45/1.81 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.45/1.81 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 1.45/1.81 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 1.45/1.81 ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 47, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.45/1.81 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.45/1.81 , clause( 27341, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.45/1.81 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27343, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ),
% 1.45/1.81 implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 39, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), implies( Y, X ) )
% 1.45/1.81 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 49, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.45/1.81 not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27343, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ),
% 1.45/1.81 implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27344, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.45/1.81 X ) ), Z ), Z ) ) ] )
% 1.45/1.81 , clause( 11, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.45/1.81 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.45/1.81 , 1, clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Y ),
% 1.45/1.81 implies( implies( Y, X ), X ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( Z, implies( X, implies( Y, X ) ) )
% 1.45/1.81 ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( implies( X, implies(
% 1.45/1.81 Y, X ) ), Z ), Z ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, implies( X
% 1.45/1.81 , implies( Y, X ) ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 60, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X )
% 1.45/1.81 ), Z ), Z ) ) ] )
% 1.45/1.81 , clause( 27344, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.45/1.81 , X ) ), Z ), Z ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27346, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.45/1.81 implies( Y, X ) ), Z ), Z ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 60, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.45/1.81 , X ) ), Z ), Z ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, X
% 1.45/1.81 ) ), Z ), Z ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.45/1.81 ), :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 61, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, implies( Y, X ) ), Z ), Z ), T ) ) ) ] )
% 1.45/1.81 , clause( 27346, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.45/1.81 , implies( Y, X ) ), Z ), Z ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27347, [ 'is_a_theorem'( implies( implies( not( X ), not( implies(
% 1.45/1.81 Y, Z ) ) ), implies( Z, X ) ) ) ] )
% 1.45/1.81 , clause( 13, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.45/1.81 , 1, clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( implies( not( Y ), not( X ) ), Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 1.45/1.81 implies( not( X ), not( implies( Y, Z ) ) ), implies( Z, X ) ) )] ),
% 1.45/1.81 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, X ), :=( Z, implies(
% 1.45/1.81 Z, X ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 244, [ 'is_a_theorem'( implies( implies( not( X ), not( implies( Y
% 1.45/1.81 , Z ) ) ), implies( Z, X ) ) ) ] )
% 1.45/1.81 , clause( 27347, [ 'is_a_theorem'( implies( implies( not( X ), not( implies(
% 1.45/1.81 Y, Z ) ) ), implies( Z, X ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27348, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.45/1.81 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.45/1.81 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.45/1.81 )
% 1.45/1.81 , 1, clause( 47, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.45/1.81 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 1.45/1.81 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 1.45/1.81 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 1.45/1.81 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 1.45/1.81 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 360, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.45/1.81 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.45/1.81 , clause( 27348, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27349, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( not( Y ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 49, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 1.45/1.81 implies( X, Y ), Z ), implies( not( not( Y ) ), Z ) ) )] ),
% 1.45/1.81 substitution( 1, [ :=( X, not( not( Y ) ) ), :=( Y, implies( X, Y ) ),
% 1.45/1.81 :=( Z, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 419, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( not( Y ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27349, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.45/1.81 implies( not( not( Y ) ), Z ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27350, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.45/1.81 , clause( 61, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( implies( X, implies( Y, X ) ), Z ), Z ), T ) ) ) ] )
% 1.45/1.81 , 1, clause( 419, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.45/1.81 , implies( not( not( Y ) ), Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 1.45/1.81 not( not( X ) ), X ) )] ), substitution( 1, [ :=( X, implies( Y, implies(
% 1.45/1.81 Z, Y ) ) ), :=( Y, X ), :=( Z, X )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 686, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.45/1.81 , clause( 27350, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27352, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 1.45/1.81 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 686, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 1.45/1.81 , substitution( 1, [ :=( X, X )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 708, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( not( X ) ), X ), Y ) ) ) ] )
% 1.45/1.81 , clause( 27352, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 1.45/1.81 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.45/1.81 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27353, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 708, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( not( X ) ), X ), Y ) ) ) ] )
% 1.45/1.81 , 1, clause( 244, [ 'is_a_theorem'( implies( implies( not( X ), not(
% 1.45/1.81 implies( Y, Z ) ) ), implies( Z, X ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, not( implies( Y, X ) ) ), :=( Y, implies( X
% 1.45/1.81 , not( not( implies( Y, X ) ) ) ) )] ), substitution( 1, [ :=( X, not(
% 1.45/1.81 not( implies( Y, X ) ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 725, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) ) ) )
% 1.45/1.81 ) ] )
% 1.45/1.81 , clause( 27353, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) )
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27355, [ ~( 'is_a_theorem'( implies( implies( X, not( not( implies(
% 1.45/1.81 Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.45/1.81 , ~( 'is_a_theorem'( X ) ) ] )
% 1.45/1.81 , 2, clause( 725, [ 'is_a_theorem'( implies( X, not( not( implies( Y, X ) )
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, implies( X, not( not( implies( Y, X ) ) ) )
% 1.45/1.81 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 802, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.45/1.81 , not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27355, [ ~( 'is_a_theorem'( implies( implies( X, not( not(
% 1.45/1.81 implies( Y, X ) ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27356, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 1.45/1.81 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.45/1.81 , clause( 708, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 not( not( X ) ), X ), Y ) ) ) ] )
% 1.45/1.81 , 1, clause( 360, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.45/1.81 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( implies( not(
% 1.45/1.81 not( X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) )] ),
% 1.45/1.81 substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 1.45/1.81 T, Z )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 14348, [ 'is_a_theorem'( implies( implies( implies( not( not( X ) )
% 1.45/1.81 , Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.45/1.81 , clause( 27356, [ 'is_a_theorem'( implies( implies( implies( not( not( X )
% 1.45/1.81 ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.45/1.81 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27357, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.45/1.81 Y, not( X ) ) ) ) ] )
% 1.45/1.81 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 14348, [ 'is_a_theorem'( implies( implies( implies( not( not(
% 1.45/1.81 X ) ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, implies(
% 1.45/1.81 implies( X, not( Y ) ), implies( Y, not( X ) ) ) )] ), substitution( 1, [
% 1.45/1.81 :=( X, X ), :=( Y, not( Y ) ), :=( Z, implies( Y, not( X ) ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 27299, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.45/1.81 Y, not( X ) ) ) ) ] )
% 1.45/1.81 , clause( 27357, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.45/1.81 Y, not( X ) ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27358, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 802, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.45/1.81 X, not( not( implies( Y, X ) ) ) ), Z ) ) ) ] )
% 1.45/1.81 , 1, clause( 27299, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 1.45/1.81 implies( Y, not( X ) ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( not(
% 1.45/1.81 implies( X, Y ) ), not( Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 1.45/1.81 , not( implies( X, Y ) ) )] )).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 27306, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y )
% 1.45/1.81 ) ) ] )
% 1.45/1.81 , clause( 27358, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not( Y
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.45/1.81 )] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 resolution(
% 1.45/1.81 clause( 27359, [] )
% 1.45/1.81 , clause( 5, [ ~( 'is_a_theorem'( implies( not( implies( a, b ) ), not( b )
% 1.45/1.81 ) ) ) ] )
% 1.45/1.81 , 0, clause( 27306, [ 'is_a_theorem'( implies( not( implies( X, Y ) ), not(
% 1.45/1.81 Y ) ) ) ] )
% 1.45/1.81 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 1.45/1.81 ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 subsumption(
% 1.45/1.81 clause( 27315, [] )
% 1.45/1.81 , clause( 27359, [] )
% 1.45/1.81 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 end.
% 1.45/1.81
% 1.45/1.81 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.45/1.81
% 1.45/1.81 Memory use:
% 1.45/1.81
% 1.45/1.81 space for terms: 501405
% 1.45/1.81 space for clauses: 2224761
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 clauses generated: 109384
% 1.45/1.81 clauses kept: 27316
% 1.45/1.81 clauses selected: 1860
% 1.45/1.81 clauses deleted: 225
% 1.45/1.81 clauses inuse deleted: 17
% 1.45/1.81
% 1.45/1.81 subsentry: 87771
% 1.45/1.81 literals s-matched: 82293
% 1.45/1.81 literals matched: 82293
% 1.45/1.81 full subsumption: 0
% 1.45/1.81
% 1.45/1.81 checksum: -2065051479
% 1.45/1.81
% 1.45/1.81
% 1.45/1.81 Bliksem ended
%------------------------------------------------------------------------------