TSTP Solution File: LCL048-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL048-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:49:37 EDT 2022
% Result : Unsatisfiable 0.47s 0.99s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL048-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : bliksem %s
% 0.06/0.26 % Computer : n029.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % DateTime : Mon Jul 4 10:09:11 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.47/0.99 *** allocated 10000 integers for termspace/termends
% 0.47/0.99 *** allocated 10000 integers for clauses
% 0.47/0.99 *** allocated 10000 integers for justifications
% 0.47/0.99 Bliksem 1.12
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Automatic Strategy Selection
% 0.47/0.99
% 0.47/0.99 Clauses:
% 0.47/0.99 [
% 0.47/0.99 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.47/0.99 'is_a_theorem'( Y ) ],
% 0.47/0.99 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.47/0.99 implies( X, Z ) ) ) ) ],
% 0.47/0.99 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.47/0.99 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.47/0.99 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ), implies( b
% 0.47/0.99 , c ) ) ) ) ]
% 0.47/0.99 ] .
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 percentage equality = 0.000000, percentage horn = 1.000000
% 0.47/0.99 This is a near-Horn, non-equality problem
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Options Used:
% 0.47/0.99
% 0.47/0.99 useres = 1
% 0.47/0.99 useparamod = 0
% 0.47/0.99 useeqrefl = 0
% 0.47/0.99 useeqfact = 0
% 0.47/0.99 usefactor = 1
% 0.47/0.99 usesimpsplitting = 0
% 0.47/0.99 usesimpdemod = 0
% 0.47/0.99 usesimpres = 4
% 0.47/0.99
% 0.47/0.99 resimpinuse = 1000
% 0.47/0.99 resimpclauses = 20000
% 0.47/0.99 substype = standard
% 0.47/0.99 backwardsubs = 1
% 0.47/0.99 selectoldest = 5
% 0.47/0.99
% 0.47/0.99 litorderings [0] = split
% 0.47/0.99 litorderings [1] = liftord
% 0.47/0.99
% 0.47/0.99 termordering = none
% 0.47/0.99
% 0.47/0.99 litapriori = 1
% 0.47/0.99 termapriori = 0
% 0.47/0.99 litaposteriori = 0
% 0.47/0.99 termaposteriori = 0
% 0.47/0.99 demodaposteriori = 0
% 0.47/0.99 ordereqreflfact = 0
% 0.47/0.99
% 0.47/0.99 litselect = negative
% 0.47/0.99
% 0.47/0.99 maxweight = 30000
% 0.47/0.99 maxdepth = 30000
% 0.47/0.99 maxlength = 115
% 0.47/0.99 maxnrvars = 195
% 0.47/0.99 excuselevel = 0
% 0.47/0.99 increasemaxweight = 0
% 0.47/0.99
% 0.47/0.99 maxselected = 10000000
% 0.47/0.99 maxnrclauses = 10000000
% 0.47/0.99
% 0.47/0.99 showgenerated = 0
% 0.47/0.99 showkept = 0
% 0.47/0.99 showselected = 0
% 0.47/0.99 showdeleted = 0
% 0.47/0.99 showresimp = 1
% 0.47/0.99 showstatus = 2000
% 0.47/0.99
% 0.47/0.99 prologoutput = 1
% 0.47/0.99 nrgoals = 5000000
% 0.47/0.99 totalproof = 1
% 0.47/0.99
% 0.47/0.99 Symbols occurring in the translation:
% 0.47/0.99
% 0.47/0.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/0.99 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.47/0.99 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.47/0.99 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/0.99 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/0.99 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.47/0.99 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.47/0.99 not [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.47/0.99 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.47/0.99 b [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.47/0.99 c [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Starting Search:
% 0.47/0.99
% 0.47/0.99 Resimplifying inuse:
% 0.47/0.99 Done
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Intermediate Status:
% 0.47/0.99 Generated: 8948
% 0.47/0.99 Kept: 2000
% 0.47/0.99 Inuse: 377
% 0.47/0.99 Deleted: 44
% 0.47/0.99 Deletedinuse: 17
% 0.47/0.99
% 0.47/0.99 Resimplifying inuse:
% 0.47/0.99 Done
% 0.47/0.99
% 0.47/0.99 Resimplifying inuse:
% 0.47/0.99 Done
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Intermediate Status:
% 0.47/0.99 Generated: 18456
% 0.47/0.99 Kept: 4018
% 0.47/0.99 Inuse: 595
% 0.47/0.99 Deleted: 59
% 0.47/0.99 Deletedinuse: 19
% 0.47/0.99
% 0.47/0.99 Resimplifying inuse:
% 0.47/0.99 Done
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Bliksems!, er is een bewijs:
% 0.47/0.99 % SZS status Unsatisfiable
% 0.47/0.99 % SZS output start Refutation
% 0.47/0.99
% 0.47/0.99 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.47/0.99 ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.47/0.99 implies( b, c ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.47/0.99 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 .
% 0.47/0.99 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.47/0.99 not( X ), X ), Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.47/0.99 , implies( X, Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.47/0.99 X ), Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.47/0.99 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.47/0.99 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.47/0.99 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.47/0.99 Y ), Z ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.47/0.99 , implies( X, Z ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.47/0.99 , Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.47/0.99 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.47/0.99 implies( Z, Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.47/0.99 ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.47/0.99 ), Z ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.47/0.99 ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.47/0.99 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.47/0.99 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.47/0.99 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.47/0.99 ), X ), X ), Y ), Y ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.47/0.99 ), implies( X, Y ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, X ) ), Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( Y, Z ) ) ) ] )
% 0.47/0.99 .
% 0.47/0.99 clause( 5009, [] )
% 0.47/0.99 .
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 % SZS output end Refutation
% 0.47/0.99 found a proof!
% 0.47/0.99
% 0.47/0.99 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/0.99
% 0.47/0.99 initialclauses(
% 0.47/0.99 [ clause( 5011, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.47/0.99 X ) ), 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , clause( 5012, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 5013, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , clause( 5014, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , clause( 5015, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c )
% 0.47/0.99 , implies( b, c ) ) ) ) ] )
% 0.47/0.99 ] ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.47/0.99 ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , clause( 5011, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.47/0.99 X ) ), 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 5012, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.47/0.99 , clause( 5013, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.47/0.99 , clause( 5014, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.47/0.99 implies( b, c ) ) ) ) ] )
% 0.47/0.99 , clause( 5015, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c )
% 0.47/0.99 , implies( b, c ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5017, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.47/0.99 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.47/0.99 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 , clause( 5017, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.47/0.99 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.99 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5019, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.47/0.99 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.47/0.99 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.47/0.99 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5019, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.47/0.99 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5021, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.47/0.99 ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.47/0.99 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.47/0.99 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , clause( 5021, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.47/0.99 ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5022, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.47/0.99 not( X ), X ), Y ) ) ) ] )
% 0.47/0.99 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.47/0.99 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.47/0.99 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.47/0.99 not( X ), X ), Y ) ) ) ] )
% 0.47/0.99 , clause( 5022, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( not( X ), X ), Y ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5024, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( not( X ), X ), Y ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.47/0.99 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.47/0.99 :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5024, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5025, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.47/0.99 ), implies( X, Z ) ) ) ] )
% 0.47/0.99 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.47/0.99 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.47/0.99 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.47/0.99 , implies( X, Z ) ) ) ] )
% 0.47/0.99 , clause( 5025, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5026, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.47/0.99 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.47/0.99 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.47/0.99 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.47/0.99 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.47/0.99 ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , clause( 5026, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5027, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.47/0.99 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.47/0.99 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.47/0.99 , clause( 5027, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5029, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.47/0.99 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.47/0.99 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.47/0.99 :=( Y, Y ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5029, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5031, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.47/0.99 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.47/0.99 substitution( 1, [ :=( X, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.47/0.99 X ), Y ) ) ) ] )
% 0.47/0.99 , clause( 5031, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.47/0.99 'is_a_theorem'( Y ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.47/0.99 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5032, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.47/0.99 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , X ), Y ) ) ) ] )
% 0.47/0.99 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.47/0.99 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.47/0.99 ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.47/0.99 , clause( 5032, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5034, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.47/0.99 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.47/0.99 )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.47/0.99 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.47/0.99 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5034, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.47/0.99 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5035, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.47/0.99 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.47/0.99 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 0.47/0.99 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 0.47/0.99 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.47/0.99 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5035, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.47/0.99 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5037, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.47/0.99 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.47/0.99 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.47/0.99 ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.47/0.99 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.47/0.99 , clause( 5037, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.47/0.99 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.47/0.99 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5039, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.47/0.99 ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.47/0.99 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.47/0.99 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 0.47/0.99 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.47/0.99 Y ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5039, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.47/0.99 ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5040, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.47/0.99 , implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.47/0.99 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.47/0.99 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.47/0.99 implies( Y, implies( X, Z ) ) )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.47/0.99 , implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 5040, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.47/0.99 Y, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5041, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.47/0.99 , Z ) ) ) ] )
% 0.47/0.99 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.47/0.99 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.47/0.99 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.47/0.99 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.47/0.99 , Z ) ) ) ] )
% 0.47/0.99 , clause( 5041, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.47/0.99 ), Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5043, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.47/0.99 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.47/0.99 ) ), Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.47/0.99 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.47/0.99 Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5043, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.47/0.99 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5044, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.47/0.99 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.47/0.99 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.47/0.99 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.47/0.99 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.47/0.99 Y ) ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.47/0.99 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.47/0.99 , clause( 5044, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.47/0.99 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5045, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.47/0.99 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.47/0.99 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.47/0.99 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.47/0.99 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.47/0.99 , clause( 5045, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5047, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ),
% 0.47/0.99 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.47/0.99 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5047, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.47/0.99 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5048, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.47/0.99 implies( Z, Y ) ) ) ] )
% 0.47/0.99 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.47/0.99 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.47/0.99 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.47/0.99 implies( Z, Y ) ) ) ] )
% 0.47/0.99 , clause( 5048, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.47/0.99 implies( Z, Y ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5050, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.47/0.99 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.47/0.99 , implies( Z, Y ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.47/0.99 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.47/0.99 , Y ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5050, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.47/0.99 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5051, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.47/0.99 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.47/0.99 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.47/0.99 , implies( X, Y ) ) )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 , clause( 5051, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5052, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.47/0.99 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.47/0.99 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.47/0.99 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5052, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5054, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.47/0.99 Y, Y ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5054, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.47/0.99 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5055, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.47/0.99 ) ] )
% 0.47/0.99 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.47/0.99 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.47/0.99 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.47/0.99 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.47/0.99 Z, Y ), :=( T, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.47/0.99 ) ] )
% 0.47/0.99 , clause( 5055, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.47/0.99 ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5057, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.47/0.99 ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.47/0.99 , Y ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.47/0.99 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5057, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.47/0.99 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5058, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.47/0.99 ), Z ), Z ) ) ) ] )
% 0.47/0.99 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.47/0.99 implies( X, Y ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.47/0.99 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.47/0.99 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.47/0.99 ), Z ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5058, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.47/0.99 , Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5060, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.47/0.99 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 Y, Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.47/0.99 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.47/0.99 ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5060, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.47/0.99 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5061, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ),
% 0.47/0.99 Z ) ) ) ) ] )
% 0.47/0.99 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.47/0.99 , Z ), implies( X, Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.47/0.99 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 0.47/0.99 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 0.47/0.99 ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.47/0.99 ) ) ) ) ] )
% 0.47/0.99 , clause( 5061, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 0.47/0.99 , Z ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5063, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.47/0.99 not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 0.47/0.99 ), Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 0.47/0.99 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.47/0.99 , Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.47/0.99 , clause( 5063, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.47/0.99 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5064, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.47/0.99 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.47/0.99 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.47/0.99 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 0.47/0.99 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 0.47/0.99 ) ) ), :=( Z, T )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.47/0.99 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.47/0.99 , clause( 5064, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.47/0.99 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5065, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.47/0.99 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.47/0.99 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.47/0.99 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.47/0.99 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.47/0.99 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.47/0.99 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.47/0.99 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.47/0.99 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.47/0.99 ) ) )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.47/0.99 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.47/0.99 , clause( 5065, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.47/0.99 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5066, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.47/0.99 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.47/0.99 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.47/0.99 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.47/0.99 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.47/0.99 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.47/0.99 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , clause( 5066, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.47/0.99 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5067, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.47/0.99 Y ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.47/0.99 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.47/0.99 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 0.47/0.99 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 0.47/0.99 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5067, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5068, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.47/0.99 ), X ), X ), Y ), Y ) ) ] )
% 0.47/0.99 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.47/0.99 Y ), Z ) ), T ) ) ) ] )
% 0.47/0.99 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.47/0.99 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.47/0.99 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.47/0.99 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.47/0.99 ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.47/0.99 ), X ), X ), Y ), Y ) ) ] )
% 0.47/0.99 , clause( 5068, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.47/0.99 X ), X ), X ), Y ), Y ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5070, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.47/0.99 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.47/0.99 :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5070, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.47/0.99 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5071, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.47/0.99 ), implies( X, Y ) ) ) ] )
% 0.47/0.99 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.47/0.99 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.47/0.99 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.47/0.99 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.47/0.99 ), :=( T, implies( X, Y ) )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.47/0.99 ), implies( X, Y ) ) ) ] )
% 0.47/0.99 , clause( 5071, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.47/0.99 ) ), implies( X, Y ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5073, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.47/0.99 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.47/0.99 , Y ) ), implies( X, Y ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.47/0.99 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.47/0.99 :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5073, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.47/0.99 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5074, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.47/0.99 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.47/0.99 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 0.47/0.99 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 0.47/0.99 :=( T, implies( Y, X ) )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.47/0.99 , clause( 5074, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/0.99 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5076, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.47/0.99 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.47/0.99 , ~( 'is_a_theorem'( X ) ) ] )
% 0.47/0.99 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.47/0.99 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.47/0.99 , implies( Y, X ) ), Z ) ) ) ] )
% 0.47/0.99 , clause( 5076, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.47/0.99 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5077, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( Y, Z ) ) ) ] )
% 0.47/0.99 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.47/0.99 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.47/0.99 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.47/0.99 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.47/0.99 implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y
% 0.47/0.99 ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( Y, Z ) ) ) ] )
% 0.47/0.99 , clause( 5077, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.47/0.99 implies( Y, Z ) ) ) ] )
% 0.47/0.99 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/0.99 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 resolution(
% 0.47/0.99 clause( 5078, [] )
% 0.47/0.99 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.47/0.99 implies( b, c ) ) ) ) ] )
% 0.47/0.99 , 0, clause( 4949, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.47/0.99 , implies( Y, Z ) ) ) ] )
% 0.47/0.99 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.47/0.99 Z, c )] )).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 subsumption(
% 0.47/0.99 clause( 5009, [] )
% 0.47/0.99 , clause( 5078, [] )
% 0.47/0.99 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 end.
% 0.47/0.99
% 0.47/0.99 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/0.99
% 0.47/0.99 Memory use:
% 0.47/0.99
% 0.47/0.99 space for terms: 104543
% 0.47/0.99 space for clauses: 552728
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 clauses generated: 25536
% 0.47/0.99 clauses kept: 5010
% 0.47/0.99 clauses selected: 652
% 0.47/0.99 clauses deleted: 63
% 0.47/0.99 clauses inuse deleted: 22
% 0.47/0.99
% 0.47/0.99 subsentry: 21467
% 0.47/0.99 literals s-matched: 20591
% 0.47/0.99 literals matched: 20590
% 0.47/0.99 full subsumption: 0
% 0.47/0.99
% 0.47/0.99 checksum: -1249732951
% 0.47/0.99
% 0.47/0.99
% 0.47/0.99 Bliksem ended
%------------------------------------------------------------------------------