TSTP Solution File: LCL039-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:49:30 EDT 2022
% Result : Unsatisfiable 1.75s 2.14s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 04:30:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.75/2.14 *** allocated 10000 integers for termspace/termends
% 1.75/2.14 *** allocated 10000 integers for clauses
% 1.75/2.14 *** allocated 10000 integers for justifications
% 1.75/2.14 Bliksem 1.12
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Automatic Strategy Selection
% 1.75/2.14
% 1.75/2.14 Clauses:
% 1.75/2.14 [
% 1.75/2.14 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.75/2.14 'is_a_theorem'( Y ) ],
% 1.75/2.14 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 1.75/2.14 [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies(
% 1.75/2.14 implies( X, Y ), implies( X, Z ) ) ) ) ],
% 1.75/2.14 [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ), implies( Y, X
% 1.75/2.14 ) ) ) ],
% 1.75/2.14 [ 'is_a_theorem'( implies( necessary( implies( X, Y ) ), implies(
% 1.75/2.14 necessary( X ), necessary( Y ) ) ) ) ],
% 1.75/2.14 [ 'is_a_theorem'( implies( necessary( X ), X ) ) ],
% 1.75/2.14 [ ~( 'is_a_theorem'( X ) ), 'is_a_theorem'( necessary( X ) ) ],
% 1.75/2.14 [ ~( 'is_a_theorem'( implies( necessary( a ), not( necessary( not( a ) )
% 1.75/2.14 ) ) ) ) ]
% 1.75/2.14 ] .
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 percentage equality = 0.000000, percentage horn = 1.000000
% 1.75/2.14 This is a near-Horn, non-equality problem
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Options Used:
% 1.75/2.14
% 1.75/2.14 useres = 1
% 1.75/2.14 useparamod = 0
% 1.75/2.14 useeqrefl = 0
% 1.75/2.14 useeqfact = 0
% 1.75/2.14 usefactor = 1
% 1.75/2.14 usesimpsplitting = 0
% 1.75/2.14 usesimpdemod = 0
% 1.75/2.14 usesimpres = 4
% 1.75/2.14
% 1.75/2.14 resimpinuse = 1000
% 1.75/2.14 resimpclauses = 20000
% 1.75/2.14 substype = standard
% 1.75/2.14 backwardsubs = 1
% 1.75/2.14 selectoldest = 5
% 1.75/2.14
% 1.75/2.14 litorderings [0] = split
% 1.75/2.14 litorderings [1] = liftord
% 1.75/2.14
% 1.75/2.14 termordering = none
% 1.75/2.14
% 1.75/2.14 litapriori = 1
% 1.75/2.14 termapriori = 0
% 1.75/2.14 litaposteriori = 0
% 1.75/2.14 termaposteriori = 0
% 1.75/2.14 demodaposteriori = 0
% 1.75/2.14 ordereqreflfact = 0
% 1.75/2.14
% 1.75/2.14 litselect = negative
% 1.75/2.14
% 1.75/2.14 maxweight = 30000
% 1.75/2.14 maxdepth = 30000
% 1.75/2.14 maxlength = 115
% 1.75/2.14 maxnrvars = 195
% 1.75/2.14 excuselevel = 0
% 1.75/2.14 increasemaxweight = 0
% 1.75/2.14
% 1.75/2.14 maxselected = 10000000
% 1.75/2.14 maxnrclauses = 10000000
% 1.75/2.14
% 1.75/2.14 showgenerated = 0
% 1.75/2.14 showkept = 0
% 1.75/2.14 showselected = 0
% 1.75/2.14 showdeleted = 0
% 1.75/2.14 showresimp = 1
% 1.75/2.14 showstatus = 2000
% 1.75/2.14
% 1.75/2.14 prologoutput = 1
% 1.75/2.14 nrgoals = 5000000
% 1.75/2.14 totalproof = 1
% 1.75/2.14
% 1.75/2.14 Symbols occurring in the translation:
% 1.75/2.14
% 1.75/2.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.75/2.14 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 1.75/2.14 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 1.75/2.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.75/2.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.75/2.14 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.75/2.14 'is_a_theorem' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 1.75/2.14 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.75/2.14 necessary [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.75/2.14 a [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Starting Search:
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 24030
% 1.75/2.14 Kept: 2002
% 1.75/2.14 Inuse: 735
% 1.75/2.14 Deleted: 3
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 68438
% 1.75/2.14 Kept: 4002
% 1.75/2.14 Inuse: 1318
% 1.75/2.14 Deleted: 3
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 109626
% 1.75/2.14 Kept: 6002
% 1.75/2.14 Inuse: 1795
% 1.75/2.14 Deleted: 3
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 164155
% 1.75/2.14 Kept: 8130
% 1.75/2.14 Inuse: 2387
% 1.75/2.14 Deleted: 3
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 196691
% 1.75/2.14 Kept: 10229
% 1.75/2.14 Inuse: 2641
% 1.75/2.14 Deleted: 4
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 216008
% 1.75/2.14 Kept: 12235
% 1.75/2.14 Inuse: 2788
% 1.75/2.14 Deleted: 4
% 1.75/2.14 Deletedinuse: 1
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 230172
% 1.75/2.14 Kept: 14235
% 1.75/2.14 Inuse: 2885
% 1.75/2.14 Deleted: 5
% 1.75/2.14 Deletedinuse: 2
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 256914
% 1.75/2.14 Kept: 16489
% 1.75/2.14 Inuse: 3225
% 1.75/2.14 Deleted: 5
% 1.75/2.14 Deletedinuse: 2
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 263645
% 1.75/2.14 Kept: 18941
% 1.75/2.14 Inuse: 3262
% 1.75/2.14 Deleted: 5
% 1.75/2.14 Deletedinuse: 2
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying clauses:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 291436
% 1.75/2.14 Kept: 20950
% 1.75/2.14 Inuse: 3442
% 1.75/2.14 Deleted: 7
% 1.75/2.14 Deletedinuse: 2
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Intermediate Status:
% 1.75/2.14 Generated: 314958
% 1.75/2.14 Kept: 22997
% 1.75/2.14 Inuse: 3617
% 1.75/2.14 Deleted: 7
% 1.75/2.14 Deletedinuse: 2
% 1.75/2.14
% 1.75/2.14 Resimplifying inuse:
% 1.75/2.14 Done
% 1.75/2.14
% 1.75/2.14
% 1.75/2.14 Bliksems!, er is een bewijs:
% 1.75/2.14 % SZS status Unsatisfiable
% 1.75/2.14 % SZS output start Refutation
% 1.75/2.14
% 1.75/2.14 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.75/2.14 ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.14 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.75/2.14 implies( Y, X ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 5, [ 'is_a_theorem'( implies( necessary( X ), X ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 6, [ 'is_a_theorem'( necessary( X ) ), ~( 'is_a_theorem'( X ) ) ]
% 1.75/2.14 )
% 1.75/2.14 .
% 1.75/2.14 clause( 7, [ ~( 'is_a_theorem'( implies( necessary( a ), not( necessary(
% 1.75/2.14 not( a ) ) ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.14 implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 15, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.14 necessary( X ), X ), Y ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.14 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.75/2.14 ) ), T ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 28, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.14 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 31, [ 'is_a_theorem'( implies( X, implies( necessary( Y ), Y ) ) )
% 1.75/2.14 ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 34, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.14 implies( necessary( Y ), Y ) ), Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 62, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 1.75/2.14 ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 63, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 1.75/2.14 ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 64, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 68, [ 'is_a_theorem'( necessary( implies( X, X ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 69, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( necessary(
% 1.75/2.14 implies( X, X ) ), Y ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 76, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.14 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 96, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.75/2.14 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 1.75/2.14 , Z ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 97, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 1.75/2.14 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 134, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not(
% 1.75/2.14 Z ) ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 174, [ 'is_a_theorem'( implies( implies( X, necessary( Y ) ),
% 1.75/2.14 implies( X, Y ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 177, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.14 implies( X, necessary( Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 323, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.14 implies( Z, Y ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 329, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 1.75/2.14 ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 354, [ 'is_a_theorem'( implies( X, implies( Y, necessary( implies(
% 1.75/2.14 Z, Z ) ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 362, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.14 , implies( Y, necessary( implies( Z, Z ) ) ) ), T ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 443, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 1.75/2.14 ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 456, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.14 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 1.75/2.14 implies( Y, T ) ) ) ), U ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 561, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.14 , implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.75/2.14 )
% 1.75/2.14 .
% 1.75/2.14 clause( 2100, [ 'is_a_theorem'( implies( implies( X, implies( necessary(
% 1.75/2.14 implies( Y, Y ) ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 2740, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.75/2.14 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.14 .
% 1.75/2.14 clause( 2764, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not(
% 1.75/2.15 Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 3805, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 3809, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 8604, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 8619, [ 'is_a_theorem'( implies( implies( not( X ), necessary( not(
% 1.75/2.15 Y ) ) ), implies( Y, X ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 8626, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 8884, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 9313, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), X ), Y ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 9784, [ 'is_a_theorem'( implies( X, not( necessary( not( X ) ) ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 10227, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, not( necessary( not( X ) ) ) ), Y ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 21616, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, not(
% 1.75/2.15 necessary( not( Y ) ) ) ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 23636, [ 'is_a_theorem'( implies( necessary( X ), not( necessary(
% 1.75/2.15 not( X ) ) ) ) ) ] )
% 1.75/2.15 .
% 1.75/2.15 clause( 23639, [] )
% 1.75/2.15 .
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 % SZS output end Refutation
% 1.75/2.15 found a proof!
% 1.75/2.15
% 1.75/2.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.75/2.15
% 1.75/2.15 initialclauses(
% 1.75/2.15 [ clause( 23641, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.75/2.15 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , clause( 23642, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 23643, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , clause( 23644, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.75/2.15 implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 23645, [ 'is_a_theorem'( implies( necessary( implies( X, Y ) ),
% 1.75/2.15 implies( necessary( X ), necessary( Y ) ) ) ) ] )
% 1.75/2.15 , clause( 23646, [ 'is_a_theorem'( implies( necessary( X ), X ) ) ] )
% 1.75/2.15 , clause( 23647, [ ~( 'is_a_theorem'( X ) ), 'is_a_theorem'( necessary( X )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 23648, [ ~( 'is_a_theorem'( implies( necessary( a ), not(
% 1.75/2.15 necessary( not( a ) ) ) ) ) ) ] )
% 1.75/2.15 ] ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.75/2.15 ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , clause( 23641, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.75/2.15 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 23642, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , clause( 23643, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.75/2.15 implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 23644, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.75/2.15 implies( Y, X ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 5, [ 'is_a_theorem'( implies( necessary( X ), X ) ) ] )
% 1.75/2.15 , clause( 23646, [ 'is_a_theorem'( implies( necessary( X ), X ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 6, [ 'is_a_theorem'( necessary( X ) ), ~( 'is_a_theorem'( X ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , clause( 23647, [ ~( 'is_a_theorem'( X ) ), 'is_a_theorem'( necessary( X )
% 1.75/2.15 ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 1.75/2.15 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 7, [ ~( 'is_a_theorem'( implies( necessary( a ), not( necessary(
% 1.75/2.15 not( a ) ) ) ) ) ) ] )
% 1.75/2.15 , clause( 23648, [ ~( 'is_a_theorem'( implies( necessary( a ), not(
% 1.75/2.15 necessary( not( a ) ) ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23650, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.75/2.15 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.15 implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23650, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.75/2.15 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23652, [ ~( 'is_a_theorem'( implies( implies( necessary( X ), X ),
% 1.75/2.15 Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 5, [ 'is_a_theorem'( implies( necessary( X ), X ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( necessary( X ), X ) ), :=( Y, Y )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 15, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 necessary( X ), X ), Y ) ) ) ] )
% 1.75/2.15 , clause( 23652, [ ~( 'is_a_theorem'( implies( implies( necessary( X ), X )
% 1.75/2.15 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.75/2.15 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23654, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.75/2.15 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 1.75/2.15 'is_a_theorem'( T ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] ),
% 1.75/2.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.75/2.15 ) ), T ) ) ) ] )
% 1.75/2.15 , clause( 23654, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.75/2.15 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 1.75/2.15 'is_a_theorem'( T ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23656, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.75/2.15 not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 3, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 1.75/2.15 implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), not( Y ) ),
% 1.75/2.15 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.75/2.15 , Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 28, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23656, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.75/2.15 not( Y ) ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23657, [ 'is_a_theorem'( implies( X, implies( necessary( Y ), Y ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 15, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 necessary( X ), X ), Y ) ) ) ] )
% 1.75/2.15 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, implies( necessary(
% 1.75/2.15 Y ), Y ) ) )] ), substitution( 1, [ :=( X, implies( necessary( Y ), Y ) )
% 1.75/2.15 , :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 31, [ 'is_a_theorem'( implies( X, implies( necessary( Y ), Y ) ) )
% 1.75/2.15 ] )
% 1.75/2.15 , clause( 23657, [ 'is_a_theorem'( implies( X, implies( necessary( Y ), Y )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23659, [ ~( 'is_a_theorem'( implies( implies( X, implies( necessary(
% 1.75/2.15 Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 31, [ 'is_a_theorem'( implies( X, implies( necessary( Y ), Y )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( necessary( Y ), Y ) ) )
% 1.75/2.15 , :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 34, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.15 implies( necessary( Y ), Y ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23659, [ ~( 'is_a_theorem'( implies( implies( X, implies(
% 1.75/2.15 necessary( Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23660, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 1.75/2.15 , Y ), implies( X, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.75/2.15 , :=( Z, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 62, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 1.75/2.15 ] )
% 1.75/2.15 , clause( 23660, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23661, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.75/2.15 Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 1.75/2.15 implies( Z, Y ) ) ), :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 63, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 1.75/2.15 ] )
% 1.75/2.15 , clause( 23661, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23662, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.75/2.15 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 62, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 64, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.75/2.15 , clause( 23662, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23663, [ 'is_a_theorem'( necessary( implies( X, X ) ) ) ] )
% 1.75/2.15 , clause( 6, [ 'is_a_theorem'( necessary( X ) ), ~( 'is_a_theorem'( X ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , 1, clause( 64, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 1.75/2.15 :=( X, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 68, [ 'is_a_theorem'( necessary( implies( X, X ) ) ) ] )
% 1.75/2.15 , clause( 23663, [ 'is_a_theorem'( necessary( implies( X, X ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23664, [ ~( 'is_a_theorem'( implies( necessary( implies( X, X ) ),
% 1.75/2.15 Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 68, [ 'is_a_theorem'( necessary( implies( X, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, necessary( implies( X, X ) ) ), :=( Y, Y )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 69, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( necessary(
% 1.75/2.15 implies( X, X ) ), Y ) ) ) ] )
% 1.75/2.15 , clause( 23664, [ ~( 'is_a_theorem'( implies( necessary( implies( X, X ) )
% 1.75/2.15 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.75/2.15 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23666, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.75/2.15 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 63, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 1.75/2.15 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.75/2.15 ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 76, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 1.75/2.15 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.75/2.15 , clause( 23666, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.75/2.15 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23667, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.75/2.15 Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies(
% 1.75/2.15 X, Z ) ) ) ) ] )
% 1.75/2.15 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.75/2.15 ) ), T ) ) ) ] )
% 1.75/2.15 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.75/2.15 implies( implies( X, implies( Y, Z ) ), implies( X, Y ) ), implies(
% 1.75/2.15 implies( X, implies( Y, Z ) ), implies( X, Z ) ) ) )] ), substitution( 1
% 1.75/2.15 , [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies( X, Y ) ),
% 1.75/2.15 :=( Z, implies( X, Z ) )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 96, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.75/2.15 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 1.75/2.15 , Z ) ) ) ) ] )
% 1.75/2.15 , clause( 23667, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.75/2.15 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23668, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.75/2.15 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 1.75/2.15 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 1.75/2.15 ) ), T ) ) ) ] )
% 1.75/2.15 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.75/2.15 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 1.75/2.15 implies( Y, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y
% 1.75/2.15 , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ),
% 1.75/2.15 :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 97, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 1.75/2.15 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 1.75/2.15 , clause( 23668, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.75/2.15 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23669, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ),
% 1.75/2.15 not( Z ) ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 28, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.75/2.15 implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ) )] ), substitution( 1
% 1.75/2.15 , [ :=( X, implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ),
% 1.75/2.15 :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 134, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not(
% 1.75/2.15 Z ) ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 23669, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ),
% 1.75/2.15 not( Z ) ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23670, [ 'is_a_theorem'( implies( implies( X, necessary( Y ) ),
% 1.75/2.15 implies( X, Y ) ) ) ] )
% 1.75/2.15 , clause( 34, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( necessary( Y ), Y ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 1.75/2.15 , necessary( Y ) ), implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X )
% 1.75/2.15 , :=( Y, necessary( Y ) ), :=( Z, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 174, [ 'is_a_theorem'( implies( implies( X, necessary( Y ) ),
% 1.75/2.15 implies( X, Y ) ) ) ] )
% 1.75/2.15 , clause( 23670, [ 'is_a_theorem'( implies( implies( X, necessary( Y ) ),
% 1.75/2.15 implies( X, Y ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23672, [ ~( 'is_a_theorem'( implies( implies( implies( X, necessary(
% 1.75/2.15 Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 174, [ 'is_a_theorem'( implies( implies( X, necessary( Y ) ),
% 1.75/2.15 implies( X, Y ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( implies( X, necessary( Y ) ),
% 1.75/2.15 implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.75/2.15 , Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 177, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( X, necessary( Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23672, [ ~( 'is_a_theorem'( implies( implies( implies( X,
% 1.75/2.15 necessary( Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23673, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.15 implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 76, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.75/2.15 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.75/2.15 implies( X, Y ), implies( X, implies( Z, Y ) ) ) )] ), substitution( 1, [
% 1.75/2.15 :=( X, X ), :=( Y, Y ), :=( Z, implies( Z, Y ) )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 323, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.15 implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 23673, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.15 implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23674, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 323, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.15 implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.75/2.15 Y, implies( Z, X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 1.75/2.15 implies( Z, X ) ), :=( Z, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 329, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 23674, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23675, [ 'is_a_theorem'( implies( X, implies( Y, necessary( implies(
% 1.75/2.15 Z, Z ) ) ) ) ) ] )
% 1.75/2.15 , clause( 69, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( necessary(
% 1.75/2.15 implies( X, X ) ), Y ) ) ) ] )
% 1.75/2.15 , 1, clause( 329, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( X, implies( Y,
% 1.75/2.15 necessary( implies( Z, Z ) ) ) ) )] ), substitution( 1, [ :=( X,
% 1.75/2.15 necessary( implies( Z, Z ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 354, [ 'is_a_theorem'( implies( X, implies( Y, necessary( implies(
% 1.75/2.15 Z, Z ) ) ) ) ) ] )
% 1.75/2.15 , clause( 23675, [ 'is_a_theorem'( implies( X, implies( Y, necessary(
% 1.75/2.15 implies( Z, Z ) ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23677, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.75/2.15 necessary( implies( Z, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 354, [ 'is_a_theorem'( implies( X, implies( Y, necessary(
% 1.75/2.15 implies( Z, Z ) ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, necessary( implies(
% 1.75/2.15 Z, Z ) ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.75/2.15 , :=( Z, Z )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 362, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, necessary( implies( Z, Z ) ) ) ), T ) ) ) ] )
% 1.75/2.15 , clause( 23677, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.75/2.15 necessary( implies( Z, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23678, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.75/2.15 X ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , clause( 76, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.75/2.15 , 1, clause( 96, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.75/2.15 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z ) )
% 1.75/2.15 ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X, implies( implies(
% 1.75/2.15 Y, X ), Z ) ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 1.75/2.15 :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 443, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 1.75/2.15 ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , clause( 23678, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.75/2.15 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23680, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 1.75/2.15 ) ) ), 'is_a_theorem'( U ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 97, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.75/2.15 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 1.75/2.15 , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ), :=( Y, U )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.75/2.15 ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 456, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 1.75/2.15 implies( Y, T ) ) ) ), U ) ) ) ] )
% 1.75/2.15 , clause( 23680, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 1.75/2.15 ) ) ), 'is_a_theorem'( U ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.75/2.15 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23682, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.75/2.15 )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 134, [ 'is_a_theorem'( implies( X, implies( implies( not( Y )
% 1.75/2.15 , not( Z ) ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( not( Y ), not(
% 1.75/2.15 Z ) ), implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.75/2.15 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 561, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.75/2.15 , implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , clause( 23682, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.75/2.15 )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23683, [ 'is_a_theorem'( implies( implies( X, implies( necessary(
% 1.75/2.15 implies( Y, Y ) ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , clause( 362, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, implies( Y, necessary( implies( Z, Z ) ) ) ), T ) ) ) ] )
% 1.75/2.15 , 1, clause( 96, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.75/2.15 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 1.75/2.15 implies( X, Z ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, implies( necessary( implies( Y,
% 1.75/2.15 Y ) ), Z ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X,
% 1.75/2.15 implies( necessary( implies( Y, Y ) ), Z ) ), implies( X, Z ) ) )] ),
% 1.75/2.15 substitution( 1, [ :=( X, X ), :=( Y, necessary( implies( Y, Y ) ) ),
% 1.75/2.15 :=( Z, Z )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 2100, [ 'is_a_theorem'( implies( implies( X, implies( necessary(
% 1.75/2.15 implies( Y, Y ) ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , clause( 23683, [ 'is_a_theorem'( implies( implies( X, implies( necessary(
% 1.75/2.15 implies( Y, Y ) ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23684, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.75/2.15 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 456, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 1.75/2.15 implies( Y, T ) ) ) ), U ) ) ) ] )
% 1.75/2.15 , 1, clause( 443, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 1.75/2.15 :=( T, Y ), :=( U, implies( implies( X, Y ), implies( implies( Z, X ),
% 1.75/2.15 implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ),
% 1.75/2.15 :=( Y, Z ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 2740, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.75/2.15 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 23684, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.75/2.15 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23685, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 1.75/2.15 not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 28, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( not( X ), not( Y ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2740, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.75/2.15 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 1.75/2.15 , implies( not( Y ), not( Z ) ) ), implies( X, implies( Z, Y ) ) ) )] ),
% 1.75/2.15 substitution( 1, [ :=( X, implies( not( Y ), not( Z ) ) ), :=( Y, implies(
% 1.75/2.15 Z, Y ) ), :=( Z, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 2764, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), not(
% 1.75/2.15 Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , clause( 23685, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 1.75/2.15 not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23686, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , clause( 561, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, implies( implies( not( Y ), not( Z ) ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , 1, clause( 443, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.75/2.15 Y, X ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Y ), :=( Z, X ), :=( T,
% 1.75/2.15 implies( not( X ), implies( X, Y ) ) )] ), substitution( 1, [ :=( X, not(
% 1.75/2.15 X ) ), :=( Y, not( Y ) ), :=( Z, implies( X, Y ) )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 3805, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 1.75/2.15 , clause( 23686, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 1.75/2.15 )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23688, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 1.75/2.15 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 3805, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 1.75/2.15 ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 1.75/2.15 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 3809, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23688, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies(
% 1.75/2.15 X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23689, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , clause( 3809, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2764, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.75/2.15 , not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z,
% 1.75/2.15 implies( not( not( X ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=(
% 1.75/2.15 X, not( not( X ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 8604, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 23689, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y, X
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23690, [ 'is_a_theorem'( implies( implies( not( X ), necessary( not(
% 1.75/2.15 Y ) ) ), implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 177, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 implies( X, necessary( Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2764, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.75/2.15 , not( Z ) ) ), implies( X, implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, not( Y ) ), :=( Z,
% 1.75/2.15 implies( implies( not( X ), necessary( not( Y ) ) ), implies( Y, X ) ) )] )
% 1.75/2.15 , substitution( 1, [ :=( X, implies( not( X ), necessary( not( Y ) ) ) )
% 1.75/2.15 , :=( Y, X ), :=( Z, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 8619, [ 'is_a_theorem'( implies( implies( not( X ), necessary( not(
% 1.75/2.15 Y ) ) ), implies( Y, X ) ) ) ] )
% 1.75/2.15 , clause( 23690, [ 'is_a_theorem'( implies( implies( not( X ), necessary(
% 1.75/2.15 not( Y ) ) ), implies( Y, X ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23692, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ),
% 1.75/2.15 implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 8604, [ 'is_a_theorem'( implies( not( not( X ) ), implies( Y,
% 1.75/2.15 X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), implies( Y, X ) )
% 1.75/2.15 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 8626, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , clause( 23692, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ),
% 1.75/2.15 implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.75/2.15 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23693, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.75/2.15 , clause( 8626, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), implies( Y, X ) ), Z ) ) ) ] )
% 1.75/2.15 , 1, clause( 2100, [ 'is_a_theorem'( implies( implies( X, implies(
% 1.75/2.15 necessary( implies( Y, Y ) ), Z ) ), implies( X, Z ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, necessary( implies( Y, Y ) ) ),
% 1.75/2.15 :=( Z, implies( not( not( X ) ), X ) )] ), substitution( 1, [ :=( X, not(
% 1.75/2.15 not( X ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 8884, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.75/2.15 , clause( 23693, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23695, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 1.75/2.15 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 8884, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 1.75/2.15 , substitution( 1, [ :=( X, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 9313, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), X ), Y ) ) ) ] )
% 1.75/2.15 , clause( 23695, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X
% 1.75/2.15 ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.75/2.15 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23696, [ 'is_a_theorem'( implies( X, not( necessary( not( X ) ) ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 9313, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 not( not( X ) ), X ), Y ) ) ) ] )
% 1.75/2.15 , 1, clause( 8619, [ 'is_a_theorem'( implies( implies( not( X ), necessary(
% 1.75/2.15 not( Y ) ) ), implies( Y, X ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, necessary( not( X ) ) ), :=( Y, implies( X,
% 1.75/2.15 not( necessary( not( X ) ) ) ) )] ), substitution( 1, [ :=( X, not(
% 1.75/2.15 necessary( not( X ) ) ) ), :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 9784, [ 'is_a_theorem'( implies( X, not( necessary( not( X ) ) ) )
% 1.75/2.15 ) ] )
% 1.75/2.15 , clause( 23696, [ 'is_a_theorem'( implies( X, not( necessary( not( X ) ) )
% 1.75/2.15 ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23698, [ ~( 'is_a_theorem'( implies( implies( X, not( necessary(
% 1.75/2.15 not( X ) ) ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.75/2.15 , ~( 'is_a_theorem'( X ) ) ] )
% 1.75/2.15 , 2, clause( 9784, [ 'is_a_theorem'( implies( X, not( necessary( not( X ) )
% 1.75/2.15 ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, implies( X, not( necessary( not( X ) ) ) ) )
% 1.75/2.15 , :=( Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 10227, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, not( necessary( not( X ) ) ) ), Y ) ) ) ] )
% 1.75/2.15 , clause( 23698, [ ~( 'is_a_theorem'( implies( implies( X, not( necessary(
% 1.75/2.15 not( X ) ) ) ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.75/2.15 ), ==>( 1, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23699, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, not(
% 1.75/2.15 necessary( not( Y ) ) ) ) ) ) ] )
% 1.75/2.15 , clause( 10227, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 X, not( necessary( not( X ) ) ) ), Y ) ) ) ] )
% 1.75/2.15 , 1, clause( 2740, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.75/2.15 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( X, Y ),
% 1.75/2.15 implies( X, not( necessary( not( Y ) ) ) ) ) )] ), substitution( 1, [
% 1.75/2.15 :=( X, Y ), :=( Y, not( necessary( not( Y ) ) ) ), :=( Z, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 21616, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, not(
% 1.75/2.15 necessary( not( Y ) ) ) ) ) ) ] )
% 1.75/2.15 , clause( 23699, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.75/2.15 not( necessary( not( Y ) ) ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.75/2.15 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23700, [ 'is_a_theorem'( implies( necessary( X ), not( necessary(
% 1.75/2.15 not( X ) ) ) ) ) ] )
% 1.75/2.15 , clause( 15, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.75/2.15 necessary( X ), X ), Y ) ) ) ] )
% 1.75/2.15 , 1, clause( 21616, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X
% 1.75/2.15 , not( necessary( not( Y ) ) ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( necessary( X ), not(
% 1.75/2.15 necessary( not( X ) ) ) ) )] ), substitution( 1, [ :=( X, necessary( X )
% 1.75/2.15 ), :=( Y, X )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 23636, [ 'is_a_theorem'( implies( necessary( X ), not( necessary(
% 1.75/2.15 not( X ) ) ) ) ) ] )
% 1.75/2.15 , clause( 23700, [ 'is_a_theorem'( implies( necessary( X ), not( necessary(
% 1.75/2.15 not( X ) ) ) ) ) ] )
% 1.75/2.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 resolution(
% 1.75/2.15 clause( 23701, [] )
% 1.75/2.15 , clause( 7, [ ~( 'is_a_theorem'( implies( necessary( a ), not( necessary(
% 1.75/2.15 not( a ) ) ) ) ) ) ] )
% 1.75/2.15 , 0, clause( 23636, [ 'is_a_theorem'( implies( necessary( X ), not(
% 1.75/2.15 necessary( not( X ) ) ) ) ) ] )
% 1.75/2.15 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 subsumption(
% 1.75/2.15 clause( 23639, [] )
% 1.75/2.15 , clause( 23701, [] )
% 1.75/2.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 end.
% 1.75/2.15
% 1.75/2.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.75/2.15
% 1.75/2.15 Memory use:
% 1.75/2.15
% 1.75/2.15 space for terms: 365342
% 1.75/2.15 space for clauses: 1781498
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 clauses generated: 319483
% 1.75/2.15 clauses kept: 23640
% 1.75/2.15 clauses selected: 3640
% 1.75/2.15 clauses deleted: 7
% 1.75/2.15 clauses inuse deleted: 2
% 1.75/2.15
% 1.75/2.15 subsentry: 310080
% 1.75/2.15 literals s-matched: 295850
% 1.75/2.15 literals matched: 295850
% 1.75/2.15 full subsumption: 0
% 1.75/2.15
% 1.75/2.15 checksum: -100708188
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Bliksem ended
%------------------------------------------------------------------------------