TSTP Solution File: LCL064-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 07:49:50 EDT 2022
% Result : Unsatisfiable 0.74s 1.42s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 18:49:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.42 *** allocated 10000 integers for termspace/termends
% 0.74/1.42 *** allocated 10000 integers for clauses
% 0.74/1.42 *** allocated 10000 integers for justifications
% 0.74/1.42 Bliksem 1.12
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Automatic Strategy Selection
% 0.74/1.42
% 0.74/1.42 Clauses:
% 0.74/1.42 [
% 0.74/1.42 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.74/1.42 'is_a_theorem'( Y ) ],
% 0.74/1.42 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 0.74/1.42 [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ), implies(
% 0.74/1.42 implies( X, Y ), implies( X, Z ) ) ) ) ],
% 0.74/1.42 [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies( b, c )
% 0.74/1.42 , implies( a, c ) ) ) ) ) ]
% 0.74/1.42 ] .
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 percentage equality = 0.000000, percentage horn = 1.000000
% 0.74/1.42 This is a near-Horn, non-equality problem
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Options Used:
% 0.74/1.42
% 0.74/1.42 useres = 1
% 0.74/1.42 useparamod = 0
% 0.74/1.42 useeqrefl = 0
% 0.74/1.42 useeqfact = 0
% 0.74/1.42 usefactor = 1
% 0.74/1.42 usesimpsplitting = 0
% 0.74/1.42 usesimpdemod = 0
% 0.74/1.42 usesimpres = 4
% 0.74/1.42
% 0.74/1.42 resimpinuse = 1000
% 0.74/1.42 resimpclauses = 20000
% 0.74/1.42 substype = standard
% 0.74/1.42 backwardsubs = 1
% 0.74/1.42 selectoldest = 5
% 0.74/1.42
% 0.74/1.42 litorderings [0] = split
% 0.74/1.42 litorderings [1] = liftord
% 0.74/1.42
% 0.74/1.42 termordering = none
% 0.74/1.42
% 0.74/1.42 litapriori = 1
% 0.74/1.42 termapriori = 0
% 0.74/1.42 litaposteriori = 0
% 0.74/1.42 termaposteriori = 0
% 0.74/1.42 demodaposteriori = 0
% 0.74/1.42 ordereqreflfact = 0
% 0.74/1.42
% 0.74/1.42 litselect = negative
% 0.74/1.42
% 0.74/1.42 maxweight = 30000
% 0.74/1.42 maxdepth = 30000
% 0.74/1.42 maxlength = 115
% 0.74/1.42 maxnrvars = 195
% 0.74/1.42 excuselevel = 0
% 0.74/1.42 increasemaxweight = 0
% 0.74/1.42
% 0.74/1.42 maxselected = 10000000
% 0.74/1.42 maxnrclauses = 10000000
% 0.74/1.42
% 0.74/1.42 showgenerated = 0
% 0.74/1.42 showkept = 0
% 0.74/1.42 showselected = 0
% 0.74/1.42 showdeleted = 0
% 0.74/1.42 showresimp = 1
% 0.74/1.42 showstatus = 2000
% 0.74/1.42
% 0.74/1.42 prologoutput = 1
% 0.74/1.42 nrgoals = 5000000
% 0.74/1.42 totalproof = 1
% 0.74/1.42
% 0.74/1.42 Symbols occurring in the translation:
% 0.74/1.42
% 0.74/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.42 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.42 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.42 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.42 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.42 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.42 b [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.42 c [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Starting Search:
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 12849
% 0.74/1.42 Kept: 2001
% 0.74/1.42 Inuse: 301
% 0.74/1.42 Deleted: 4
% 0.74/1.42 Deletedinuse: 1
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 23645
% 0.74/1.42 Kept: 4025
% 0.74/1.42 Inuse: 423
% 0.74/1.42 Deleted: 4
% 0.74/1.42 Deletedinuse: 1
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 39343
% 0.74/1.42 Kept: 6045
% 0.74/1.42 Inuse: 597
% 0.74/1.42 Deleted: 8
% 0.74/1.42 Deletedinuse: 2
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 51137
% 0.74/1.42 Kept: 8132
% 0.74/1.42 Inuse: 685
% 0.74/1.42 Deleted: 8
% 0.74/1.42 Deletedinuse: 2
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 66297
% 0.74/1.42 Kept: 10147
% 0.74/1.42 Inuse: 805
% 0.74/1.42 Deleted: 9
% 0.74/1.42 Deletedinuse: 2
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 Intermediate Status:
% 0.74/1.42 Generated: 77619
% 0.74/1.42 Kept: 12210
% 0.74/1.42 Inuse: 870
% 0.74/1.42 Deleted: 9
% 0.74/1.42 Deletedinuse: 2
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42 Done
% 0.74/1.42
% 0.74/1.42 Resimplifying inuse:
% 0.74/1.42
% 0.74/1.42 Bliksems!, er is een bewijs:
% 0.74/1.42 % SZS status Unsatisfiable
% 0.74/1.42 % SZS output start Refutation
% 0.74/1.42
% 0.74/1.42 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.74/1.42 ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 3, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 0.74/1.42 b, c ), implies( a, c ) ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 5, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.74/1.42 ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 7, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 0.74/1.42 ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.42 ) ), T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 9, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 11, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 X ), Y ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 12, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.74/1.42 implies( implies( X, Y ), Y ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 13, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, Y ) ), Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 15, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, implies(
% 0.74/1.42 Z, Y ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.74/1.42 T, Z ) ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 18, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.74/1.42 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 0.74/1.42 , Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 27, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 0.74/1.42 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y ) )
% 0.74/1.42 ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 40, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z, implies(
% 0.74/1.42 X, implies( T, Y ) ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 45, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.74/1.42 T, Y ) ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 47, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 64, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.42 implies( Z, Y ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 69, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.74/1.42 , Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 86, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) )
% 0.74/1.42 , T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.42 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 93, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 0.74/1.42 , Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 99, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 0.74/1.42 )
% 0.74/1.42 .
% 0.74/1.42 clause( 100, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.42 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 0.74/1.42 implies( Y, T ) ) ) ), U ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 102, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 0.74/1.42 ) ), U ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 194, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.42 implies( Z, X ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 520, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, X
% 0.74/1.42 ), Z ), Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 522, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.74/1.42 ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 547, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.42 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 567, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.74/1.42 implies( implies( Y, Z ), Z ) ) ), T ), T ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 766, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.42 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 901, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 0.74/1.42 ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 956, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.42 Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2022, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.74/1.42 , implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2521, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.74/1.42 implies( Y, Z ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2527, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2592, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Z
% 0.74/1.42 ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2663, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 2682, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.42 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ]
% 0.74/1.42 )
% 0.74/1.42 .
% 0.74/1.42 clause( 13568, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.42 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 .
% 0.74/1.42 clause( 13618, [] )
% 0.74/1.42 .
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 % SZS output end Refutation
% 0.74/1.42 found a proof!
% 0.74/1.42
% 0.74/1.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.42
% 0.74/1.42 initialclauses(
% 0.74/1.42 [ clause( 13620, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.74/1.42 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.74/1.42 , clause( 13621, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 , clause( 13622, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 , clause( 13623, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.74/1.42 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.74/1.42 ] ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.74/1.42 ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.42 , clause( 13620, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 0.74/1.42 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.42 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 , clause( 13621, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.42 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 , clause( 13622, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 3, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 0.74/1.42 b, c ), implies( a, c ) ) ) ) ) ] )
% 0.74/1.42 , clause( 13623, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.74/1.42 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.74/1.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 resolution(
% 0.74/1.42 clause( 13625, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.74/1.42 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.42 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.42 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.42 , 2, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.74/1.42 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.42 , clause( 13625, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 0.74/1.42 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.42 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 resolution(
% 0.74/1.42 clause( 13626, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.74/1.42 ) ) ] )
% 0.74/1.42 , clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.42 , implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.42 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.74/1.42 Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y,
% 0.74/1.42 implies( Z, Y ) ) ), :=( Y, X )] )).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 5, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.74/1.42 ] )
% 0.74/1.42 , clause( 13626, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.74/1.42 ) ) ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 resolution(
% 0.74/1.42 clause( 13628, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.42 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.42 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.42 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.42 , 2, clause( 5, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.74/1.42 ) ) ] )
% 0.74/1.42 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 0.74/1.42 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.74/1.42 ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.42 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.42 , clause( 13628, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.42 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.42 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 resolution(
% 0.74/1.42 clause( 13629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 0.74/1.42 ) ) ] )
% 0.74/1.42 , clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.42 , implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.42 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.42 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.42 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 0.74/1.42 , Y ), implies( X, X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.74/1.42 , :=( Z, X )] )).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 subsumption(
% 0.74/1.42 clause( 7, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X ) ) )
% 0.74/1.42 ] )
% 0.74/1.42 , clause( 13629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X
% 0.74/1.42 ) ) ) ] )
% 0.74/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.42 )] ) ).
% 0.74/1.42
% 0.74/1.42
% 0.74/1.42 resolution(
% 0.74/1.42 clause( 13631, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.42 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 0.74/1.42 'is_a_theorem'( T ) ] )
% 0.74/1.42 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.42 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( implies( X, Y ), implies( X, Z ) ) ) ), :=( Y, T )] ),
% 0.74/1.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , clause( 13631, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 Y, Z ) ), implies( implies( X, Y ), implies( X, Z ) ) ), T ) ) ),
% 0.74/1.43 'is_a_theorem'( T ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13632, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.74/1.43 , clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.43 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, X )
% 0.74/1.43 ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( X, X ) )] )
% 0.74/1.43 , substitution( 1, [ :=( X, X ), :=( Y, implies( Y, X ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 9, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.74/1.43 , clause( 13632, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13634, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.74/1.43 'is_a_theorem'( Y ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 9, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.74/1.43 substitution( 1, [ :=( X, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 11, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.43 X ), Y ) ) ) ] )
% 0.74/1.43 , clause( 13634, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.74/1.43 'is_a_theorem'( Y ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.43 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13635, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.74/1.43 implies( implies( X, Y ), Y ) ) ) ] )
% 0.74/1.43 , clause( 11, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , X ), Y ) ) ) ] )
% 0.74/1.43 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies(
% 0.74/1.43 implies( X, Y ), X ), implies( implies( X, Y ), Y ) ) )] ),
% 0.74/1.43 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.74/1.43 ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 12, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.74/1.43 implies( implies( X, Y ), Y ) ) ) ] )
% 0.74/1.43 , clause( 13635, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.74/1.43 implies( implies( X, Y ), Y ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.43 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13636, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.74/1.43 , clause( 11, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , X ), Y ) ) ) ] )
% 0.74/1.43 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, implies( Y, Y ) ) )] )
% 0.74/1.43 , substitution( 1, [ :=( X, implies( Y, Y ) ), :=( Y, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 13, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.74/1.43 , clause( 13636, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.43 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13638, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.74/1.43 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 13, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.74/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.43 implies( Y, Y ) ), Z ) ) ) ] )
% 0.74/1.43 , clause( 13638, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y )
% 0.74/1.43 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13639, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.74/1.43 implies( X, Y ), implies( X, implies( Z, Y ) ) ) )] ), substitution( 1, [
% 0.74/1.43 :=( X, X ), :=( Y, Y ), :=( Z, implies( Z, Y ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 15, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X, implies(
% 0.74/1.43 Z, Y ) ) ) ) ] )
% 0.74/1.43 , clause( 13639, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13640, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Z ) ) ) ) ) ] )
% 0.74/1.43 , clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.74/1.43 X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ), substitution( 1, [
% 0.74/1.43 :=( X, implies( Y, implies( Z, implies( T, Z ) ) ) ), :=( Y, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.74/1.43 T, Z ) ) ) ) ) ] )
% 0.74/1.43 , clause( 13640, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Z ) ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13642, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.74/1.43 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 15, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.74/1.43 Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 18, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.43 , clause( 13642, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.74/1.43 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13644, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.43 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 16, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Z ) ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.74/1.43 T, Z ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.74/1.43 , :=( Z, Z ), :=( T, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.43 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , clause( 13644, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.43 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.43 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13645, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.74/1.43 Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies(
% 0.74/1.43 X, Z ) ) ) ) ] )
% 0.74/1.43 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 2, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( implies( X, Y ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.74/1.43 implies( implies( X, implies( Y, Z ) ), implies( X, Y ) ), implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( X, Z ) ) ) )] ), substitution( 1
% 0.74/1.43 , [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, implies( X, Y ) ),
% 0.74/1.43 :=( Z, implies( X, Z ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.74/1.43 ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ), implies( X
% 0.74/1.43 , Z ) ) ) ) ] )
% 0.74/1.43 , clause( 13645, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.74/1.43 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13646, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 0.74/1.43 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.74/1.43 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 1, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.74/1.43 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 0.74/1.43 implies( Y, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y
% 0.74/1.43 , implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ),
% 0.74/1.43 :=( Y, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 27, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z,
% 0.74/1.43 T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.74/1.43 , clause( 13646, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 0.74/1.43 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13647, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.74/1.43 ) ) ] )
% 0.74/1.43 , clause( 14, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.74/1.43 , 1, clause( 12, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.74/1.43 implies( implies( X, Y ), Y ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, X ), Y ) ), :=( Y, X )
% 0.74/1.43 , :=( Z, implies( implies( implies( X, X ), Y ), Y ) )] ), substitution(
% 0.74/1.43 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y ) )
% 0.74/1.43 ] )
% 0.74/1.43 , clause( 13647, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 Y ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.43 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13649, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.74/1.43 X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 Y ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.74/1.43 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.74/1.43 , clause( 13649, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.74/1.43 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13650, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.74/1.43 implies( X, implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , clause( 18, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 15, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 0.74/1.43 implies( X, Y ), implies( Z, implies( X, implies( T, Y ) ) ) ) )] ),
% 0.74/1.43 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies( X, implies(
% 0.74/1.43 T, Y ) ) ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 40, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z, implies(
% 0.74/1.43 X, implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , clause( 13650, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.74/1.43 implies( X, implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13651, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , clause( 4, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, X ) ), Z ) ) ) ] )
% 0.74/1.43 , 1, clause( 40, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.74/1.43 implies( X, implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.74/1.43 Y, implies( Z, implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, Y )
% 0.74/1.43 , :=( Y, implies( T, Y ) ), :=( Z, X ), :=( T, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 45, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.74/1.43 T, Y ) ) ) ) ) ] )
% 0.74/1.43 , clause( 13651, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13653, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.43 implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 45, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.74/1.43 implies( T, Y ) ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.74/1.43 T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.74/1.43 , :=( Z, Z ), :=( T, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 47, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.43 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , clause( 13653, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.74/1.43 implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.43 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13654, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 implies( Z, Y ) ) ) ] )
% 0.74/1.43 , clause( 33, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.74/1.43 , 1, clause( 15, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.74/1.43 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X,
% 0.74/1.43 implies( implies( X, X ), Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 64, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 implies( Z, Y ) ) ) ] )
% 0.74/1.43 , clause( 13654, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 implies( Z, Y ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13655, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.74/1.43 Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 64, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.74/1.43 implies( Z, Y ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=( Z, Z ),
% 0.74/1.43 :=( T, implies( X, implies( implies( implies( Y, Z ), Y ), implies(
% 0.74/1.43 implies( Y, Z ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z )
% 0.74/1.43 ), :=( Y, implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z
% 0.74/1.43 ), Z ) ) ), :=( Z, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 69, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.74/1.43 , Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , clause( 13655, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.74/1.43 , Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13657, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ),
% 0.74/1.43 'is_a_theorem'( T ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 69, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.74/1.43 , Z ), Y ), implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 0.74/1.43 ), Y ), implies( implies( Y, Z ), Z ) ) ) ), :=( Y, T )] ),
% 0.74/1.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 86, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.74/1.43 implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) )
% 0.74/1.43 , T ) ) ) ] )
% 0.74/1.43 , clause( 13657, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ),
% 0.74/1.43 'is_a_theorem'( T ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13658, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , 1, clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.74/1.43 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 0.74/1.43 , Y ) ), T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, implies(
% 0.74/1.43 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 0.74/1.43 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( Y, implies( Z,
% 0.74/1.43 Y ) ) ), :=( Z, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , clause( 13658, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13659, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , clause( 6, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.74/1.43 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, X ), Z ) )
% 0.74/1.43 ), :=( Y, X ), :=( Z, Y ), :=( T, implies( implies( X, implies( implies(
% 0.74/1.43 Y, X ), Z ) ), implies( X, Z ) ) )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.43 :=( Y, implies( Y, X ) ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 93, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X )
% 0.74/1.43 , Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , clause( 13659, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13661, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.74/1.43 )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 93, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( implies( Y, X
% 0.74/1.43 ), Z ) ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X,
% 0.74/1.43 X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 99, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 0.74/1.43 )
% 0.74/1.43 , clause( 13661, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.74/1.43 )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13663, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 0.74/1.43 ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 27, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 0.74/1.43 Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 0.74/1.43 , T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ) ), :=( Y, U )] )
% 0.74/1.43 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.74/1.43 ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 100, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 0.74/1.43 implies( Y, T ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , clause( 13663, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 Y, implies( Z, T ) ), implies( implies( Y, Z ), implies( Y, T ) ) ) ), U
% 0.74/1.43 ) ) ), 'is_a_theorem'( U ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.43 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13665, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ), U ) ) ),
% 0.74/1.43 'is_a_theorem'( U ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 90, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , implies( Z, Y ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( implies( Y,
% 0.74/1.43 implies( Z, Y ) ), T ) ), implies( X, T ) ) ), :=( Y, U )] ),
% 0.74/1.43 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 102, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 0.74/1.43 ) ), U ) ) ) ] )
% 0.74/1.43 , clause( 13665, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 implies( Y, implies( Z, Y ) ), T ) ), implies( X, T ) ), U ) ) ),
% 0.74/1.43 'is_a_theorem'( U ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.43 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13666, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 implies( Z, X ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , clause( 47, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , 1, clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.74/1.43 , Z ) ), implies( X, Y ) ), implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, implies( Z
% 0.74/1.43 , X ) ), T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, implies(
% 0.74/1.43 implies( X, implies( implies( Y, implies( Z, X ) ), T ) ), implies( X, T
% 0.74/1.43 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( Y, implies( Z,
% 0.74/1.43 X ) ) ), :=( Z, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 194, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 implies( Z, X ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , clause( 13666, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , implies( Z, X ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13667, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.74/1.43 X ), Z ), Z ) ) ) ] )
% 0.74/1.43 , clause( 86, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) )
% 0.74/1.43 ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 194, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 Y, implies( Z, X ) ), T ) ), implies( X, T ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( Y, X ) ), :=( Z, Z ),
% 0.74/1.43 :=( T, implies( X, implies( implies( implies( Y, X ), Z ), Z ) ) )] ),
% 0.74/1.43 substitution( 1, [ :=( X, X ), :=( Y, implies( implies( Y, X ), Z ) ),
% 0.74/1.43 :=( Z, Y ), :=( T, implies( implies( implies( Y, X ), Z ), Z ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 520, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, X
% 0.74/1.43 ), Z ), Z ) ) ) ] )
% 0.74/1.43 , clause( 13667, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.74/1.43 , X ), Z ), Z ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13668, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 0.74/1.43 ) ) ] )
% 0.74/1.43 , clause( 86, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( implies( implies( Y, Z ), Y ), implies( implies( Y, Z ), Z ) )
% 0.74/1.43 ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 93, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.74/1.43 X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.43 :=( Y, implies( X, Y ) ), :=( Z, implies( implies( X, Y ), Y ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 522, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.74/1.43 ) ] )
% 0.74/1.43 , clause( 13668, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 0.74/1.43 ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.43 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13670, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 522, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 0.74/1.43 ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 0.74/1.43 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 547, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.74/1.43 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.74/1.43 , clause( 13670, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13671, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ), T ), T ) ) ] )
% 0.74/1.43 , clause( 547, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.74/1.43 , 1, clause( 520, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.74/1.43 Y, X ), Z ), Z ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies(
% 0.74/1.43 implies( X, implies( Y, implies( implies( Y, Z ), Z ) ) ), T ), T ) )] )
% 0.74/1.43 , substitution( 1, [ :=( X, implies( Y, implies( implies( Y, Z ), Z ) ) )
% 0.74/1.43 , :=( Y, X ), :=( Z, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 567, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ), T ), T ) ) ] )
% 0.74/1.43 , clause( 13671, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.74/1.43 , implies( implies( Y, Z ), Z ) ) ), T ), T ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13672, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 567, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 Y, implies( implies( Y, Z ), Z ) ) ), T ), T ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( Y
% 0.74/1.43 , Z ), Z ) ), :=( T, implies( implies( X, Y ), implies( X, implies(
% 0.74/1.43 implies( Y, Z ), Z ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.74/1.43 , :=( Z, Z ), :=( T, implies( implies( X, Y ), implies( X, implies(
% 0.74/1.43 implies( Y, Z ), Z ) ) ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 766, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , clause( 13672, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13673, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 0.74/1.43 , clause( 99, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( implies( Y, X ), Z ) ), implies( X, Z ) ), T ) ) ) ]
% 0.74/1.43 )
% 0.74/1.43 , 1, clause( 766, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 0.74/1.43 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.74/1.43 implies( X, implies( implies( Y, X ), Z ) ), implies( implies( implies( X
% 0.74/1.43 , Z ), T ), T ) ) )] ), substitution( 1, [ :=( X, implies( X, implies(
% 0.74/1.43 implies( Y, X ), Z ) ) ), :=( Y, implies( X, Z ) ), :=( Z, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 901, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 0.74/1.43 ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 0.74/1.43 , clause( 13673, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13674, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.43 Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , clause( 100, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 0.74/1.43 implies( Y, T ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , 1, clause( 93, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , X ), Z ) ), implies( X, Z ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.74/1.43 :=( T, Y ), :=( U, implies( implies( X, Y ), implies( implies( Z, X ),
% 0.74/1.43 implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ),
% 0.74/1.43 :=( Y, Z ), :=( Z, implies( implies( Z, X ), implies( Z, Y ) ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 956, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.43 Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , clause( 13674, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13675, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.74/1.43 , implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.43 , clause( 100, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 X, implies( implies( Y, implies( Z, T ) ), implies( implies( Y, Z ),
% 0.74/1.43 implies( Y, T ) ) ) ), U ) ) ) ] )
% 0.74/1.43 , 1, clause( 901, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 Y, X ), Z ) ), implies( implies( implies( X, Z ), T ), T ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.74/1.43 :=( T, Y ), :=( U, implies( implies( implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Z, X ), implies( Z, Y ) ) ), T ), T ) )] ), substitution( 1, [
% 0.74/1.43 :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, implies( implies( Z, X ),
% 0.74/1.43 implies( Z, Y ) ) ), :=( T, T )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2022, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.74/1.43 , implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.43 , clause( 13675, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.74/1.43 ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13676, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.74/1.43 implies( Y, Z ) ) ) ] )
% 0.74/1.43 , clause( 102, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( implies( Y, implies( Z, Y ) ), T ) ), implies( X, T
% 0.74/1.43 ) ), U ) ) ) ] )
% 0.74/1.43 , 1, clause( 2022, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 0.74/1.43 , Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, Y )
% 0.74/1.43 , :=( Z, X ), :=( T, implies( Y, Z ) ), :=( U, implies( implies( implies(
% 0.74/1.43 X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, implies( X
% 0.74/1.43 , Y ) ), :=( Y, Z ), :=( Z, Y ), :=( T, implies( implies( implies( X, Y )
% 0.74/1.43 , Z ), implies( Y, Z ) ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2521, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.74/1.43 implies( Y, Z ) ) ) ] )
% 0.74/1.43 , clause( 13676, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.74/1.43 implies( Y, Z ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13678, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.74/1.43 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 2521, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.74/1.43 , implies( Y, Z ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.74/1.43 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.74/1.43 , Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2527, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.74/1.43 , clause( 13678, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.74/1.43 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13679, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.74/1.43 Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 0.74/1.43 , clause( 2527, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 956, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.74/1.43 implies( X, implies( implies( Y, Z ), T ) ), implies( X, implies( Z, T )
% 0.74/1.43 ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), T ) ),
% 0.74/1.43 :=( Y, implies( Z, T ) ), :=( Z, X )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2592, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Z
% 0.74/1.43 ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 0.74/1.43 , clause( 13679, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.74/1.43 , Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13680, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , clause( 8, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( implies( X, Y ), implies( X, Z )
% 0.74/1.43 ) ), T ) ) ) ] )
% 0.74/1.43 , 1, clause( 2592, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.74/1.43 Y, Z ), T ) ), implies( X, implies( Z, T ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ) )] ),
% 0.74/1.43 substitution( 1, [ :=( X, implies( X, implies( Y, Z ) ) ), :=( Y, X ),
% 0.74/1.43 :=( Z, Y ), :=( T, implies( X, Z ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2663, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , clause( 13680, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13682, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 Y, Z ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.74/1.43 )
% 0.74/1.43 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.74/1.43 , ~( 'is_a_theorem'( X ) ) ] )
% 0.74/1.43 , 2, clause( 2663, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.74/1.43 , implies( Y, implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( Y, Z ) ),
% 0.74/1.43 implies( Y, implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=(
% 0.74/1.43 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 2682, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ]
% 0.74/1.43 )
% 0.74/1.43 , clause( 13682, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.74/1.43 Y, Z ) ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.74/1.43 )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13683, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.43 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , clause( 2682, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.74/1.43 implies( X, implies( Y, Z ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ]
% 0.74/1.43 )
% 0.74/1.43 , 1, clause( 2022, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 0.74/1.43 , Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ), T ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Y ) )
% 0.74/1.43 , :=( Z, implies( X, Z ) ), :=( T, implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Y, Z ), implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X, Y )
% 0.74/1.43 , :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Y, Z ), implies( X, Z ) ) ) )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 13568, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.74/1.43 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , clause( 13683, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.43 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 resolution(
% 0.74/1.43 clause( 13684, [] )
% 0.74/1.43 , clause( 3, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 0.74/1.43 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 0.74/1.43 , 0, clause( 13568, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.74/1.43 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.74/1.43 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.74/1.43 Z, c )] )).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 subsumption(
% 0.74/1.43 clause( 13618, [] )
% 0.74/1.43 , clause( 13684, [] )
% 0.74/1.43 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 end.
% 0.74/1.43
% 0.74/1.43 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.43
% 0.74/1.43 Memory use:
% 0.74/1.43
% 0.74/1.43 space for terms: 328828
% 0.74/1.43 space for clauses: 1344793
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 clauses generated: 81686
% 0.74/1.43 clauses kept: 13619
% 0.74/1.43 clauses selected: 891
% 0.74/1.43 clauses deleted: 10
% 0.74/1.43 clauses inuse deleted: 3
% 0.74/1.43
% 0.74/1.43 subsentry: 70081
% 0.74/1.43 literals s-matched: 68078
% 0.74/1.43 literals matched: 68077
% 0.74/1.43 full subsumption: 0
% 0.74/1.43
% 0.74/1.43 checksum: -820028804
% 0.74/1.43
% 0.74/1.43
% 0.74/1.43 Bliksem ended
%------------------------------------------------------------------------------