TSTP Solution File: LCL050-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:49:38 EDT 2022
% Result : Unsatisfiable 1.79s 2.16s
% Output : Refutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Mon Jul 4 03:04:31 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.79/2.16 *** allocated 10000 integers for termspace/termends
% 1.79/2.16 *** allocated 10000 integers for clauses
% 1.79/2.16 *** allocated 10000 integers for justifications
% 1.79/2.16 Bliksem 1.12
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Automatic Strategy Selection
% 1.79/2.16
% 1.79/2.16 Clauses:
% 1.79/2.16 [
% 1.79/2.16 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.79/2.16 'is_a_theorem'( Y ) ],
% 1.79/2.16 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 1.79/2.16 implies( X, Z ) ) ) ) ],
% 1.79/2.16 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 1.79/2.16 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 1.79/2.16 [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c ) ), implies( b
% 1.79/2.16 , implies( a, c ) ) ) ) ) ]
% 1.79/2.16 ] .
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 percentage equality = 0.000000, percentage horn = 1.000000
% 1.79/2.16 This is a near-Horn, non-equality problem
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Options Used:
% 1.79/2.16
% 1.79/2.16 useres = 1
% 1.79/2.16 useparamod = 0
% 1.79/2.16 useeqrefl = 0
% 1.79/2.16 useeqfact = 0
% 1.79/2.16 usefactor = 1
% 1.79/2.16 usesimpsplitting = 0
% 1.79/2.16 usesimpdemod = 0
% 1.79/2.16 usesimpres = 4
% 1.79/2.16
% 1.79/2.16 resimpinuse = 1000
% 1.79/2.16 resimpclauses = 20000
% 1.79/2.16 substype = standard
% 1.79/2.16 backwardsubs = 1
% 1.79/2.16 selectoldest = 5
% 1.79/2.16
% 1.79/2.16 litorderings [0] = split
% 1.79/2.16 litorderings [1] = liftord
% 1.79/2.16
% 1.79/2.16 termordering = none
% 1.79/2.16
% 1.79/2.16 litapriori = 1
% 1.79/2.16 termapriori = 0
% 1.79/2.16 litaposteriori = 0
% 1.79/2.16 termaposteriori = 0
% 1.79/2.16 demodaposteriori = 0
% 1.79/2.16 ordereqreflfact = 0
% 1.79/2.16
% 1.79/2.16 litselect = negative
% 1.79/2.16
% 1.79/2.16 maxweight = 30000
% 1.79/2.16 maxdepth = 30000
% 1.79/2.16 maxlength = 115
% 1.79/2.16 maxnrvars = 195
% 1.79/2.16 excuselevel = 0
% 1.79/2.16 increasemaxweight = 0
% 1.79/2.16
% 1.79/2.16 maxselected = 10000000
% 1.79/2.16 maxnrclauses = 10000000
% 1.79/2.16
% 1.79/2.16 showgenerated = 0
% 1.79/2.16 showkept = 0
% 1.79/2.16 showselected = 0
% 1.79/2.16 showdeleted = 0
% 1.79/2.16 showresimp = 1
% 1.79/2.16 showstatus = 2000
% 1.79/2.16
% 1.79/2.16 prologoutput = 1
% 1.79/2.16 nrgoals = 5000000
% 1.79/2.16 totalproof = 1
% 1.79/2.16
% 1.79/2.16 Symbols occurring in the translation:
% 1.79/2.16
% 1.79/2.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.79/2.16 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.79/2.16 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 1.79/2.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.79/2.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.79/2.16 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.79/2.16 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.79/2.16 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.79/2.16 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.79/2.16 b [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.79/2.16 c [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Starting Search:
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 9342
% 1.79/2.16 Kept: 2041
% 1.79/2.16 Inuse: 393
% 1.79/2.16 Deleted: 40
% 1.79/2.16 Deletedinuse: 16
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 20832
% 1.79/2.16 Kept: 4052
% 1.79/2.16 Inuse: 595
% 1.79/2.16 Deleted: 65
% 1.79/2.16 Deletedinuse: 19
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 31061
% 1.79/2.16 Kept: 6096
% 1.79/2.16 Inuse: 735
% 1.79/2.16 Deleted: 77
% 1.79/2.16 Deletedinuse: 19
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 43420
% 1.79/2.16 Kept: 8137
% 1.79/2.16 Inuse: 885
% 1.79/2.16 Deleted: 89
% 1.79/2.16 Deletedinuse: 20
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 53123
% 1.79/2.16 Kept: 10163
% 1.79/2.16 Inuse: 1013
% 1.79/2.16 Deleted: 124
% 1.79/2.16 Deletedinuse: 49
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 62281
% 1.79/2.16 Kept: 12249
% 1.79/2.16 Inuse: 1138
% 1.79/2.16 Deleted: 138
% 1.79/2.16 Deletedinuse: 50
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 76027
% 1.79/2.16 Kept: 14332
% 1.79/2.16 Inuse: 1333
% 1.79/2.16 Deleted: 146
% 1.79/2.16 Deletedinuse: 51
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 82453
% 1.79/2.16 Kept: 16428
% 1.79/2.16 Inuse: 1464
% 1.79/2.16 Deleted: 154
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 93183
% 1.79/2.16 Kept: 18488
% 1.79/2.16 Inuse: 1602
% 1.79/2.16 Deleted: 157
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying clauses:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 104441
% 1.79/2.16 Kept: 20618
% 1.79/2.16 Inuse: 1676
% 1.79/2.16 Deleted: 317
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 113570
% 1.79/2.16 Kept: 22624
% 1.79/2.16 Inuse: 1784
% 1.79/2.16 Deleted: 317
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 121824
% 1.79/2.16 Kept: 24638
% 1.79/2.16 Inuse: 1844
% 1.79/2.16 Deleted: 317
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 132013
% 1.79/2.16 Kept: 26732
% 1.79/2.16 Inuse: 1913
% 1.79/2.16 Deleted: 318
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 143472
% 1.79/2.16 Kept: 28732
% 1.79/2.16 Inuse: 1993
% 1.79/2.16 Deleted: 318
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 150423
% 1.79/2.16 Kept: 30831
% 1.79/2.16 Inuse: 2067
% 1.79/2.16 Deleted: 318
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 Intermediate Status:
% 1.79/2.16 Generated: 160483
% 1.79/2.16 Kept: 32921
% 1.79/2.16 Inuse: 2152
% 1.79/2.16 Deleted: 318
% 1.79/2.16 Deletedinuse: 53
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16 Done
% 1.79/2.16
% 1.79/2.16 Resimplifying inuse:
% 1.79/2.16
% 1.79/2.16 Bliksems!, er is een bewijs:
% 1.79/2.16 % SZS status Unsatisfiable
% 1.79/2.16 % SZS output start Refutation
% 1.79/2.16
% 1.79/2.16 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.79/2.16 ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.79/2.16 , Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c ) ),
% 1.79/2.16 implies( b, implies( a, c ) ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.79/2.16 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 .
% 1.79/2.16 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.79/2.16 , implies( X, Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 not( X ), X ), Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.79/2.16 X ), Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.79/2.16 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 1.79/2.16 implies( X, Z ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.79/2.16 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 1.79/2.16 Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.79/2.16 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( Z, Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.79/2.16 ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.79/2.16 ), Z ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.79/2.16 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 1.79/2.16 ) ), U ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 1.79/2.16 ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 1.79/2.16 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.79/2.16 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.79/2.16 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.79/2.16 ), X ), X ), Y ), Y ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.79/2.16 ), implies( X, Y ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( Y, X ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.79/2.16 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.79/2.16 ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 .
% 1.79/2.16 clause( 34630, [] )
% 1.79/2.16 .
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 % SZS output end Refutation
% 1.79/2.16 found a proof!
% 1.79/2.16
% 1.79/2.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.79/2.16
% 1.79/2.16 initialclauses(
% 1.79/2.16 [ clause( 34632, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.79/2.16 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , clause( 34633, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 34634, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , clause( 34635, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , clause( 34636, [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c )
% 1.79/2.16 ), implies( b, implies( a, c ) ) ) ) ) ] )
% 1.79/2.16 ] ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.79/2.16 ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , clause( 34632, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.79/2.16 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 1.79/2.16 , Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 34633, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 1.79/2.16 , clause( 34634, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 1.79/2.16 , clause( 34635, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c ) ),
% 1.79/2.16 implies( b, implies( a, c ) ) ) ) ) ] )
% 1.79/2.16 , clause( 34636, [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c )
% 1.79/2.16 ), implies( b, implies( a, c ) ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34638, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 1.79/2.16 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 1.79/2.16 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 , clause( 34638, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ),
% 1.79/2.16 X ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.16 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34640, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 1.79/2.16 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 1.79/2.16 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 1.79/2.16 implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34640, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X
% 1.79/2.16 ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34642, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.79/2.16 ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.79/2.16 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.79/2.16 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , clause( 34642, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.79/2.16 ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34643, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 1.79/2.16 Z ), implies( X, Z ) ) ) ] )
% 1.79/2.16 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 1.79/2.16 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 1.79/2.16 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 1.79/2.16 , implies( X, Z ) ) ) ] )
% 1.79/2.16 , clause( 34643, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.79/2.16 , Z ), implies( X, Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34645, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.79/2.16 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.79/2.16 , Z ), implies( X, Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 1.79/2.16 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 1.79/2.16 :=( Y, Y ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.79/2.16 , clause( 34645, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34646, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.79/2.16 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.79/2.16 , Z ), implies( X, Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.79/2.16 , clause( 34646, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34647, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 not( X ), X ), Y ) ) ) ] )
% 1.79/2.16 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 1.79/2.16 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 1.79/2.16 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 not( X ), X ), Y ) ) ) ] )
% 1.79/2.16 , clause( 34647, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( not( X ), X ), Y ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34648, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.79/2.16 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.79/2.16 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.79/2.16 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 1.79/2.16 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 1.79/2.16 ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , clause( 34648, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34650, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.79/2.16 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 1.79/2.16 substitution( 1, [ :=( X, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 1.79/2.16 X ), Y ) ) ) ] )
% 1.79/2.16 , clause( 34650, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.79/2.16 'is_a_theorem'( Y ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.79/2.16 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34651, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , X ), Y ) ) ) ] )
% 1.79/2.16 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 1.79/2.16 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 1.79/2.16 ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 1.79/2.16 , clause( 34651, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34653, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 1.79/2.16 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 1.79/2.16 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 1.79/2.16 implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34653, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X
% 1.79/2.16 ) ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34655, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 17, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( not( X ), X ), Y ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.79/2.16 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.79/2.16 :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34655, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34656, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 1.79/2.16 implies( implies( X, Y ), Z ), implies( implies( implies( not( X ), T ),
% 1.79/2.16 Y ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( not( X ), T
% 1.79/2.16 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34656, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34657, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.79/2.16 Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 1.79/2.16 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 1.79/2.16 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 1.79/2.16 implies( Y, implies( X, Z ) ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 1.79/2.16 implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 34657, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.79/2.16 Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34658, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.79/2.16 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 1.79/2.16 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 1.79/2.16 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 1.79/2.16 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 1.79/2.16 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.79/2.16 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.79/2.16 , clause( 34658, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34660, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.79/2.16 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 1.79/2.16 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 1.79/2.16 ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.79/2.16 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.79/2.16 , clause( 34660, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 1.79/2.16 , U ) ) ), 'is_a_theorem'( U ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.16 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34661, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 1.79/2.16 ), Z ) ) ) ] )
% 1.79/2.16 , clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 1.79/2.16 Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 1.79/2.16 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.79/2.16 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 1.79/2.16 Z ) ) ) ] )
% 1.79/2.16 , clause( 34661, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.79/2.16 ) ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34663, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.79/2.16 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 1.79/2.16 ) ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 1.79/2.16 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 1.79/2.16 Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.79/2.16 , clause( 34663, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 1.79/2.16 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34664, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 1.79/2.16 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.79/2.16 , clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.79/2.16 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 1.79/2.16 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 1.79/2.16 Y ) ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 1.79/2.16 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.79/2.16 , clause( 34664, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.79/2.16 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34665, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.79/2.16 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 , 1, clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 1.79/2.16 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 1.79/2.16 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 1.79/2.16 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.79/2.16 , clause( 34665, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34667, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 1.79/2.16 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 1.79/2.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( Y, Y ) ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34667, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 1.79/2.16 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34668, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( Z, Y ) ) ) ] )
% 1.79/2.16 , clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 X, implies( Y, Y ) ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 1.79/2.16 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 1.79/2.16 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( Z, Y ) ) ) ] )
% 1.79/2.16 , clause( 34668, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( Z, Y ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34670, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.79/2.16 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.79/2.16 , implies( Z, Y ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.79/2.16 , Y ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.79/2.16 , clause( 34670, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.79/2.16 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34671, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 1.79/2.16 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 1.79/2.16 , implies( X, Y ) ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 , clause( 34671, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34672, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 1.79/2.16 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 1.79/2.16 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 1.79/2.16 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34672, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34674, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 1.79/2.16 Y, Y ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.79/2.16 , clause( 34674, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.79/2.16 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34675, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.79/2.16 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 1.79/2.16 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, implies(
% 1.79/2.16 implies( Y, Z ), implies( T, Z ) ) ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 34675, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34676, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 1.79/2.16 ) ) ] )
% 1.79/2.16 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ) ) ) ] )
% 1.79/2.16 , 1, clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.79/2.16 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 1.79/2.16 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 1.79/2.16 Z, Y ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 1.79/2.16 ) ] )
% 1.79/2.16 , clause( 34676, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 1.79/2.16 Y ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34678, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.79/2.16 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 235, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.79/2.16 , Y ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 1.79/2.16 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34678, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.79/2.16 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34679, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.79/2.16 Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , clause( 238, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.79/2.16 implies( X, Y ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.79/2.16 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 1.79/2.16 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 1.79/2.16 ), Z ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34679, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.79/2.16 , Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34681, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.79/2.16 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 258, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 Y, Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 1.79/2.16 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.79/2.16 ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.79/2.16 , clause( 34681, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.79/2.16 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34682, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.79/2.16 ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 1.79/2.16 , clause( 41, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.79/2.16 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, implies( implies(
% 1.79/2.16 implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( not( X ), X ), X
% 1.79/2.16 ) ), :=( Z, Y ), :=( T, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 1.79/2.16 , X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 1.79/2.16 , clause( 34682, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.79/2.16 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34684, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.79/2.16 X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 1.79/2.16 'is_a_theorem'( U ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 234, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 1.79/2.16 , implies( implies( Y, Z ), implies( T, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 1.79/2.16 implies( implies( Y, Z ), implies( T, Z ) ) ) ), :=( Y, U )] ),
% 1.79/2.16 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 1.79/2.16 ) ), U ) ) ) ] )
% 1.79/2.16 , clause( 34684, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.79/2.16 , X ), Y ), implies( implies( Y, Z ), implies( T, Z ) ) ), U ) ) ),
% 1.79/2.16 'is_a_theorem'( U ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.79/2.16 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34686, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 1.79/2.16 'is_a_theorem'( T ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 309, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.79/2.16 X ), X ), X ), Y ), implies( Z, Y ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.79/2.16 , X ), X ), Y ), implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [
% 1.79/2.16 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 1.79/2.16 ) ) ) ] )
% 1.79/2.16 , clause( 34686, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T ) ) ),
% 1.79/2.16 'is_a_theorem'( T ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34687, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 1.79/2.16 Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 1.79/2.16 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.79/2.16 implies( implies( not( X ), Y ), Z ), implies( implies( Z, T ), implies(
% 1.79/2.16 X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 1.79/2.16 implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 1.79/2.16 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 1.79/2.16 , clause( 34687, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 1.79/2.16 , Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34688, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.79/2.16 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.79/2.16 , clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 1.79/2.16 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 1.79/2.16 implies( implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y,
% 1.79/2.16 T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X
% 1.79/2.16 , implies( not( Y ), Z ) ) ), :=( T, T )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 1.79/2.16 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.79/2.16 , clause( 34688, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.79/2.16 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34689, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.16 , clause( 97, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 1.79/2.16 implies( Z, X ), T ) ), U ) ) ) ] )
% 1.79/2.16 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.79/2.16 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 1.79/2.16 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 1.79/2.16 ) ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.16 , clause( 34689, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.16 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34690, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.79/2.16 Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 269, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 1.79/2.16 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.79/2.16 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.79/2.16 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 1.79/2.16 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 1.79/2.16 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 1.79/2.16 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , clause( 34690, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.79/2.16 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34691, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 1.79/2.16 ) ) ) ] )
% 1.79/2.16 , 1, clause( 1610, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.79/2.16 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( T, T ) ),
% 1.79/2.16 :=( T, implies( X, implies( implies( implies( implies( not( Y ), Y ), Y )
% 1.79/2.16 , Z ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies(
% 1.79/2.16 not( Y ), Y ), Y ), Z ) ), :=( Y, T ), :=( Z, Z ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34691, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34692, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.79/2.16 ), X ), X ), Y ), Y ) ) ] )
% 1.79/2.16 , clause( 316, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), implies( Z, Y ) ), T
% 1.79/2.16 ) ) ) ] )
% 1.79/2.16 , 1, clause( 6903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.79/2.16 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 1.79/2.16 ), Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 1.79/2.16 ), X ), X ), Y ), Y ) ) ] )
% 1.79/2.16 , clause( 34692, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 1.79/2.16 X ), X ), X ), Y ), Y ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34694, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 6935, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 not( X ), X ), X ), Y ), Y ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 1.79/2.16 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.79/2.16 :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34694, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.79/2.16 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34695, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 1.79/2.16 ) ), implies( X, Y ) ) ) ] )
% 1.79/2.16 , clause( 6937, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.16 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 1.79/2.16 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 1.79/2.16 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 1.79/2.16 ), :=( T, implies( X, Y ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 1.79/2.16 ), implies( X, Y ) ) ) ] )
% 1.79/2.16 , clause( 34695, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ),
% 1.79/2.16 Y ) ), implies( X, Y ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34697, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.79/2.16 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 7271, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 1.79/2.16 , Y ) ), implies( X, Y ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 1.79/2.16 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 1.79/2.16 :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34697, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.79/2.16 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34698, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.79/2.16 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.79/2.16 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 1.79/2.16 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 1.79/2.16 :=( T, implies( Y, X ) )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.79/2.16 , clause( 34698, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.16 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34700, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.79/2.16 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.16 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.16 , 2, clause( 7558, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.79/2.16 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.79/2.16 , implies( Y, X ) ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34700, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.79/2.16 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34701, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 7573, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.79/2.16 , 1, clause( 95, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.79/2.16 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 1.79/2.16 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 1.79/2.16 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 1.79/2.16 :=( T, Z )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.79/2.16 , clause( 34701, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34702, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.79/2.16 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 1.79/2.16 )
% 1.79/2.16 , 1, clause( 7646, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.79/2.16 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.79/2.16 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 1.79/2.16 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 1.79/2.16 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 subsumption(
% 1.79/2.16 clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.79/2.16 , clause( 34702, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.79/2.16 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.79/2.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.16
% 1.79/2.16
% 1.79/2.16 resolution(
% 1.79/2.16 clause( 34703, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.79/2.16 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.79/2.16 , clause( 312, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.16 implies( implies( X, X ), Y ), implies( implies( Y, Z ), implies( T, Z )
% 1.79/2.16 ) ), U ) ) ) ] )
% 1.79/2.16 , 1, clause( 9029, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.79/2.16 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 1.79/2.16 , 0, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 1.79/2.16 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T )
% 1.79/2.17 , implies( X, T ) ) )] ), substitution( 1, [ :=( X, implies( U, U ) ),
% 1.79/2.17 :=( Y, X ), :=( Z, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( T,
% 1.79/2.17 T )] )).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 subsumption(
% 1.79/2.17 clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.79/2.17 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.79/2.17 , clause( 34703, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.79/2.17 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.79/2.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.79/2.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 resolution(
% 1.79/2.17 clause( 34704, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.79/2.17 ) ) ] )
% 1.79/2.17 , clause( 7276, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.17 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.79/2.17 , 1, clause( 9050, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 1.79/2.17 , Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 1.79/2.17 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 1.79/2.17 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 1.79/2.17 X, X ), :=( Y, Y ), :=( Z, not( Y ) ), :=( T, implies( implies( X, Y ), Y
% 1.79/2.17 ) )] )).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 subsumption(
% 1.79/2.17 clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.79/2.17 ) ) ] )
% 1.79/2.17 , clause( 34704, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 1.79/2.17 ) ) ) ] )
% 1.79/2.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.79/2.17 )] ) ).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 resolution(
% 1.79/2.17 clause( 34706, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.79/2.17 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.17 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.79/2.17 , ~( 'is_a_theorem'( X ) ) ] )
% 1.79/2.17 , 2, clause( 33290, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 1.79/2.17 , Y ) ) ) ] )
% 1.79/2.17 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 1.79/2.17 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 subsumption(
% 1.79/2.17 clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.17 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.79/2.17 , clause( 34706, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.79/2.17 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.79/2.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.17 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 resolution(
% 1.79/2.17 clause( 34707, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.17 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.17 , clause( 33435, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.79/2.17 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.79/2.17 , 1, clause( 1335, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.79/2.17 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 1.79/2.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( X
% 1.79/2.17 , implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ), substitution(
% 1.79/2.17 1, [ :=( X, Y ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, X )] )).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 subsumption(
% 1.79/2.17 clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.17 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.17 , clause( 34707, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.79/2.17 implies( Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.79/2.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 resolution(
% 1.79/2.17 clause( 34708, [] )
% 1.79/2.17 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( a, implies( b, c ) ),
% 1.79/2.17 implies( b, implies( a, c ) ) ) ) ) ] )
% 1.79/2.17 , 0, clause( 34445, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 1.79/2.17 ), implies( Y, implies( X, Z ) ) ) ) ] )
% 1.79/2.17 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 1.79/2.17 Z, c )] )).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 subsumption(
% 1.79/2.17 clause( 34630, [] )
% 1.79/2.17 , clause( 34708, [] )
% 1.79/2.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 end.
% 1.79/2.17
% 1.79/2.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.79/2.17
% 1.79/2.17 Memory use:
% 1.79/2.17
% 1.79/2.17 space for terms: 759610
% 1.79/2.17 space for clauses: 3742696
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 clauses generated: 170536
% 1.79/2.17 clauses kept: 34631
% 1.79/2.17 clauses selected: 2243
% 1.79/2.17 clauses deleted: 319
% 1.79/2.17 clauses inuse deleted: 54
% 1.79/2.17
% 1.79/2.17 subsentry: 144028
% 1.79/2.17 literals s-matched: 136225
% 1.79/2.17 literals matched: 136224
% 1.79/2.17 full subsumption: 0
% 1.79/2.17
% 1.79/2.17 checksum: 949218549
% 1.79/2.17
% 1.79/2.17
% 1.79/2.17 Bliksem ended
%------------------------------------------------------------------------------