TSTP Solution File: LCL083-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL083-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:50:02 EDT 2022
% Result : Unsatisfiable 0.64s 1.02s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL083-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 22:18:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.64/1.02 *** allocated 10000 integers for termspace/termends
% 0.64/1.02 *** allocated 10000 integers for clauses
% 0.64/1.02 *** allocated 10000 integers for justifications
% 0.64/1.02 Bliksem 1.12
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Automatic Strategy Selection
% 0.64/1.02
% 0.64/1.02 Clauses:
% 0.64/1.02 [
% 0.64/1.02 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.64/1.02 'is_a_theorem'( Y ) ],
% 0.64/1.02 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies(
% 0.64/1.02 implies( Z, X ), implies( T, X ) ) ) ) ],
% 0.64/1.02 [ 'is_a_theorem'( implies( X, X ) ) ],
% 0.64/1.02 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a ) ) ) ]
% 0.64/1.02 ] .
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 percentage equality = 0.000000, percentage horn = 1.000000
% 0.64/1.02 This is a near-Horn, non-equality problem
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Options Used:
% 0.64/1.02
% 0.64/1.02 useres = 1
% 0.64/1.02 useparamod = 0
% 0.64/1.02 useeqrefl = 0
% 0.64/1.02 useeqfact = 0
% 0.64/1.02 usefactor = 1
% 0.64/1.02 usesimpsplitting = 0
% 0.64/1.02 usesimpdemod = 0
% 0.64/1.02 usesimpres = 4
% 0.64/1.02
% 0.64/1.02 resimpinuse = 1000
% 0.64/1.02 resimpclauses = 20000
% 0.64/1.02 substype = standard
% 0.64/1.02 backwardsubs = 1
% 0.64/1.02 selectoldest = 5
% 0.64/1.02
% 0.64/1.02 litorderings [0] = split
% 0.64/1.02 litorderings [1] = liftord
% 0.64/1.02
% 0.64/1.02 termordering = none
% 0.64/1.02
% 0.64/1.02 litapriori = 1
% 0.64/1.02 termapriori = 0
% 0.64/1.02 litaposteriori = 0
% 0.64/1.02 termaposteriori = 0
% 0.64/1.02 demodaposteriori = 0
% 0.64/1.02 ordereqreflfact = 0
% 0.64/1.02
% 0.64/1.02 litselect = negative
% 0.64/1.02
% 0.64/1.02 maxweight = 30000
% 0.64/1.02 maxdepth = 30000
% 0.64/1.02 maxlength = 115
% 0.64/1.02 maxnrvars = 195
% 0.64/1.02 excuselevel = 0
% 0.64/1.02 increasemaxweight = 0
% 0.64/1.02
% 0.64/1.02 maxselected = 10000000
% 0.64/1.02 maxnrclauses = 10000000
% 0.64/1.02
% 0.64/1.02 showgenerated = 0
% 0.64/1.02 showkept = 0
% 0.64/1.02 showselected = 0
% 0.64/1.02 showdeleted = 0
% 0.64/1.02 showresimp = 1
% 0.64/1.02 showstatus = 2000
% 0.64/1.02
% 0.64/1.02 prologoutput = 1
% 0.64/1.02 nrgoals = 5000000
% 0.64/1.02 totalproof = 1
% 0.64/1.02
% 0.64/1.02 Symbols occurring in the translation:
% 0.64/1.02
% 0.64/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.64/1.02 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.64/1.02 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.64/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.02 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.64/1.02 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.64/1.02 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.64/1.02 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Starting Search:
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Bliksems!, er is een bewijs:
% 0.64/1.02 % SZS status Unsatisfiable
% 0.64/1.02 % SZS output start Refutation
% 0.64/1.02
% 0.64/1.02 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.64/1.02 ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 2, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 3, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.64/1.02 ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 4, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X, X
% 0.64/1.02 ), Y ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 5, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 6, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Y
% 0.64/1.02 , Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 10, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, Y ) ), Z ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 11, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 14, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.64/1.02 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 .
% 0.64/1.02 clause( 16, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 19, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.64/1.02 ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 21, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 41, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, Z ) ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X )
% 0.64/1.02 ), Z ), implies( T, Z ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.64/1.02 ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 46, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 47, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, T ) ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 50, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, T ) ) ) ), U ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, implies( U, U ) ) ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 68, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, implies( U, U ) ) ) ) ), W ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 86, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 88, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ), Z
% 0.64/1.02 ), Y ), implies( X, Y ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 91, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 .
% 0.64/1.02 clause( 110, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 .
% 0.64/1.02 clause( 135, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.64/1.02 ), Y ), Y ) ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 140, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.64/1.02 ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 144, [] )
% 0.64/1.02 .
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 % SZS output end Refutation
% 0.64/1.02 found a proof!
% 0.64/1.02
% 0.64/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.02
% 0.64/1.02 initialclauses(
% 0.64/1.02 [ clause( 146, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.64/1.02 X ) ), 'is_a_theorem'( Y ) ] )
% 0.64/1.02 , clause( 147, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , clause( 148, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.64/1.02 , clause( 149, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.64/1.02 , a ) ) ) ] )
% 0.64/1.02 ] ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.64/1.02 ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , clause( 146, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.64/1.02 X ) ), 'is_a_theorem'( Y ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.02 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , clause( 147, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 2, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.64/1.02 , clause( 148, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 3, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.64/1.02 ) ) ] )
% 0.64/1.02 , clause( 149, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.64/1.02 , a ) ) ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 151, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.64/1.02 'is_a_theorem'( Y ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 2, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.64/1.02 substitution( 1, [ :=( X, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 4, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X, X
% 0.64/1.02 ), Y ) ) ) ] )
% 0.64/1.02 , clause( 151, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.64/1.02 'is_a_theorem'( Y ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.64/1.02 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 152, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 , clause( 4, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , X ), Y ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, implies( implies(
% 0.64/1.02 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X, X
% 0.64/1.02 ), :=( Y, Y ), :=( Z, implies( X, Y ) ), :=( T, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 5, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 , clause( 152, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 154, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.64/1.02 ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.64/1.02 'is_a_theorem'( U ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ), :=( Y, U )] ),
% 0.64/1.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 6, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 , clause( 154, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.64/1.02 Y ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.64/1.02 'is_a_theorem'( U ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 156, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.64/1.02 ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 5, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.64/1.02 , Y ), :=( Z, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.64/1.02 , clause( 156, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.64/1.02 Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 157, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.64/1.02 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.64/1.02 implies( Z, X ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Y ), :=( T, implies(
% 0.64/1.02 X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( Y, Y ) ),
% 0.64/1.02 :=( Y, Y ), :=( Z, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.64/1.02 , clause( 157, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.02 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 158, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 0.64/1.02 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 0.64/1.02 ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=( Z
% 0.64/1.02 , implies( X, Y ) ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Y
% 0.64/1.02 , Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , clause( 158, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 160, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ), Z
% 0.64/1.02 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 8, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.64/1.02 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 10, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, Y ) ), Z ) ) ) ] )
% 0.64/1.02 , clause( 160, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.64/1.02 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 161, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ) ] )
% 0.64/1.02 , clause( 10, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z,
% 0.64/1.02 implies( implies( implies( X, X ), Y ), implies( Z, Y ) ) )] ),
% 0.64/1.02 substitution( 1, [ :=( X, Y ), :=( Y, T ), :=( Z, implies( X, X ) ), :=(
% 0.64/1.02 T, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 11, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ) ] )
% 0.64/1.02 , clause( 161, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 163, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.64/1.02 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 11, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.64/1.02 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.64/1.02 , Y ), :=( Z, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.64/1.02 , clause( 163, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.64/1.02 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 164, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.64/1.02 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 6, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 0.64/1.02 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ),
% 0.64/1.02 implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ), substitution( 1
% 0.64/1.02 , [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z, implies( implies( X, Y )
% 0.64/1.02 , implies( Z, Y ) ) ), :=( T, U )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 14, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.64/1.02 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 164, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.64/1.02 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.64/1.02 ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 166, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.64/1.02 ), implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ), U ) ) ),
% 0.64/1.02 'is_a_theorem'( U ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 9, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.64/1.02 implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.64/1.02 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ), :=( Y, U )] ),
% 0.64/1.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 16, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 , clause( 166, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.64/1.02 Y ), implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ), U ) ) ),
% 0.64/1.02 'is_a_theorem'( U ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 167, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.64/1.02 ) ] )
% 0.64/1.02 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.64/1.02 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.64/1.02 ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, Y ) ), :=( Z, Y ),
% 0.64/1.02 :=( T, implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1
% 0.64/1.02 , [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ), :=( U,
% 0.64/1.02 X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 19, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.64/1.02 ] )
% 0.64/1.02 , clause( 167, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.64/1.02 ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 168, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 19, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.64/1.02 ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.64/1.02 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.64/1.02 implies( Z, Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 21, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 , clause( 168, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.02 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 170, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.64/1.02 Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 19, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.64/1.02 ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 0.64/1.02 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.64/1.02 , clause( 170, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.64/1.02 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 171, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, Z ) ) ) ) ) ] )
% 0.64/1.02 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 21, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.64/1.02 X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ), substitution( 1, [
% 0.64/1.02 :=( X, implies( Y, implies( Z, implies( T, Z ) ) ) ), :=( Y, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 41, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, Z ) ) ) ) ) ] )
% 0.64/1.02 , clause( 171, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, Z ) ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X
% 0.64/1.02 ) ), Z ), implies( T, Z ) ) ) ] )
% 0.64/1.02 , clause( 22, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( Z, U ) ), :=( Y, X ), :=( Z, Y ),
% 0.64/1.02 :=( T, implies( implies( implies( X, implies( Y, X ) ), Z ), implies( T,
% 0.64/1.02 Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, U ), :=( Z, implies( X
% 0.64/1.02 , implies( Y, X ) ) ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, X )
% 0.64/1.02 ), Z ), implies( T, Z ) ) ) ] )
% 0.64/1.02 , clause( 172, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.64/1.02 X ) ), Z ), implies( T, Z ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 173, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.64/1.02 ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 0.64/1.02 , clause( 16, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 0.64/1.02 :=( U, implies( implies( implies( X, implies( Y, Z ) ), implies( T, Y ) )
% 0.64/1.02 , implies( U, implies( T, Y ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.64/1.02 T, Y ) ), :=( Y, implies( Y, Z ) ), :=( Z, implies( X, implies( Y, Z ) )
% 0.64/1.02 ), :=( T, U )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.64/1.02 ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 0.64/1.02 , clause( 173, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.64/1.02 Z ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 175, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.64/1.02 Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 41, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, Z ) ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, Z ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.64/1.02 , :=( Z, Z ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 46, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.64/1.02 , clause( 175, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.64/1.02 implies( Z, implies( T, Z ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 176, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, T ) ) ) ) ) ] )
% 0.64/1.02 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 42, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.64/1.02 , X ) ), Z ), implies( T, Z ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( Z, implies( T, T ) ) )
% 0.64/1.02 , :=( Z, Y ), :=( T, implies( X, implies( Y, implies( Z, implies( T, T )
% 0.64/1.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( T, T ) ), :=( Y, Z ),
% 0.64/1.02 :=( Z, implies( Y, implies( Z, implies( T, T ) ) ) ), :=( T, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 47, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, T ) ) ) ) ) ] )
% 0.64/1.02 , clause( 176, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, T ) ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 178, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.64/1.02 Z, implies( T, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 47, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, T ) ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, T ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.64/1.02 , :=( Z, Z ), :=( T, T )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 50, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, T ) ) ) ), U ) ) ) ] )
% 0.64/1.02 , clause( 178, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.64/1.02 implies( Z, implies( T, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 179, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, implies( U, U ) ) ) ) ) ) ] )
% 0.64/1.02 , clause( 50, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, implies( Z, implies( T, T ) ) ) ), U ) ) ) ] )
% 0.64/1.02 , 1, clause( 21, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, U ),
% 0.64/1.02 :=( U, implies( X, implies( Y, implies( Z, implies( T, implies( U, U ) )
% 0.64/1.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, implies( Z, implies( T
% 0.64/1.02 , implies( U, U ) ) ) ) ), :=( Y, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, implies( U, U ) ) ) ) ) ) ] )
% 0.64/1.02 , clause( 179, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, implies( U, U ) ) ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 181, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.64/1.02 Z, implies( T, implies( U, U ) ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.64/1.02 implies( T, implies( U, U ) ) ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.64/1.02 T, implies( U, U ) ) ) ) ) ), :=( Y, W )] ), substitution( 1, [ :=( X, X
% 0.64/1.02 ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 68, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.64/1.02 implies( Y, implies( Z, implies( T, implies( U, U ) ) ) ) ), W ) ) ) ] )
% 0.64/1.02 , clause( 181, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.64/1.02 implies( Z, implies( T, implies( U, U ) ) ) ) ), W ) ) ), 'is_a_theorem'(
% 0.64/1.02 W ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 182, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , clause( 6, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.64/1.02 ) ), U ) ) ) ] )
% 0.64/1.02 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.64/1.02 , Z ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, implies( implies( Y
% 0.64/1.02 , Z ), T ) ), :=( T, Y ), :=( U, implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) )] ), substitution( 1, [
% 0.64/1.02 :=( X, implies( Z, U ) ), :=( Y, implies( Y, Z ) ), :=( Z, T ), :=( T,
% 0.64/1.02 implies( implies( implies( Y, Z ), T ), Z ) ), :=( U, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 86, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , clause( 182, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 183, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.64/1.02 Z ), Y ), implies( X, Y ) ) ) ] )
% 0.64/1.02 , clause( 46, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, implies( Z, implies( T, Z ) ) ) ), U ) ) ) ] )
% 0.64/1.02 , 1, clause( 86, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.64/1.02 :=( U, implies( implies( implies( implies( X, Y ), Z ), Y ), implies( X,
% 0.64/1.02 Y ) ) )] ), substitution( 1, [ :=( X, implies( T, implies( U, implies( W
% 0.64/1.02 , implies( V0, W ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 88, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ), Z
% 0.64/1.02 ), Y ), implies( X, Y ) ) ) ] )
% 0.64/1.02 , clause( 183, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.64/1.02 , Z ), Y ), implies( X, Y ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 185, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.64/1.02 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 0.64/1.02 ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.64/1.02 , ~( 'is_a_theorem'( X ) ) ] )
% 0.64/1.02 , 2, clause( 88, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.64/1.02 ), Z ), Y ), implies( X, Y ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.64/1.02 Z ), Y ), implies( X, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.64/1.02 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 91, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 185, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.64/1.02 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 0.64/1.02 ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 91, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.64/1.02 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.64/1.02 implies( implies( X, Y ), implies( implies( X, Y ), Z ) ), implies( T,
% 0.64/1.02 implies( implies( X, Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.64/1.02 implies( X, Y ), Z ) ), :=( Y, Y ), :=( Z, implies( X, Y ) ), :=( T, T )] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 110, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 186, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.64/1.02 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 187, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.64/1.02 ), Y ), Y ) ) ) ] )
% 0.64/1.02 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.64/1.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.64/1.02 , 1, clause( 110, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.64/1.02 implies( implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z
% 0.64/1.02 ) ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( Y
% 0.64/1.02 , Z ), Y ) ), :=( T, implies( X, implies( implies( implies( Y, Z ), Y ),
% 0.64/1.02 Y ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=(
% 0.64/1.02 Z, Y ), :=( T, X )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 135, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.64/1.02 ), Y ), Y ) ) ) ] )
% 0.64/1.02 , clause( 187, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.64/1.02 Z ), Y ), Y ) ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 188, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.64/1.02 ) ] )
% 0.64/1.02 , clause( 68, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.64/1.02 , implies( Y, implies( Z, implies( T, implies( U, U ) ) ) ) ), W ) ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , 1, clause( 135, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.64/1.02 Y, Z ), Y ), Y ) ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.64/1.02 :=( U, V0 ), :=( W, implies( implies( implies( X, Y ), X ), X ) )] ),
% 0.64/1.02 substitution( 1, [ :=( X, implies( Z, implies( T, implies( U, implies( W
% 0.64/1.02 , implies( V0, V0 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 140, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.64/1.02 ) ] )
% 0.64/1.02 , clause( 188, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.64/1.02 ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.02 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 189, [] )
% 0.64/1.02 , clause( 3, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a
% 0.64/1.02 ) ) ) ] )
% 0.64/1.02 , 0, clause( 140, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.64/1.02 , X ) ) ] )
% 0.64/1.02 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 144, [] )
% 0.64/1.02 , clause( 189, [] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 end.
% 0.64/1.02
% 0.64/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.02
% 0.64/1.02 Memory use:
% 0.64/1.02
% 0.64/1.02 space for terms: 2690
% 0.64/1.02 space for clauses: 16312
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 clauses generated: 1155
% 0.64/1.02 clauses kept: 145
% 0.64/1.02 clauses selected: 78
% 0.64/1.02 clauses deleted: 4
% 0.64/1.02 clauses inuse deleted: 0
% 0.64/1.02
% 0.64/1.02 subsentry: 1101
% 0.64/1.02 literals s-matched: 1015
% 0.64/1.02 literals matched: 1015
% 0.64/1.02 full subsumption: 0
% 0.64/1.02
% 0.64/1.02 checksum: -107879763
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Bliksem ended
%------------------------------------------------------------------------------