TSTP Solution File: LCL086-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL086-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:50:09 EDT 2022
% Result : Unsatisfiable 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL086-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 20:35:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.72/1.11 'is_a_theorem'( Y ) ],
% 0.72/1.11 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.72/1.11 implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ],
% 0.72/1.11 [ ~( 'is_a_theorem'( implies( a, a ) ) ) ]
% 0.72/1.11 ] .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 percentage equality = 0.000000, percentage horn = 1.000000
% 0.72/1.11 This is a near-Horn, non-equality problem
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 0
% 0.72/1.11 useeqrefl = 0
% 0.72/1.11 useeqfact = 0
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 0
% 0.72/1.11 usesimpres = 4
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = standard
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = liftord
% 0.72/1.11
% 0.72/1.11 termordering = none
% 0.72/1.11
% 0.72/1.11 litapriori = 1
% 0.72/1.11 termapriori = 0
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = negative
% 0.72/1.11
% 0.72/1.11 maxweight = 30000
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 0
% 0.72/1.11 increasemaxweight = 0
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 1
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 implies [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.11 'is_a_theorem' [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.11 a [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksems!, er is een bewijs:
% 0.72/1.11 % SZS status Unsatisfiable
% 0.72/1.11 % SZS output start Refutation
% 0.72/1.11
% 0.72/1.11 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.72/1.11 ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.72/1.11 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 .
% 0.72/1.11 clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.72/1.11 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.72/1.11 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 .
% 0.72/1.11 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.72/1.11 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.72/1.11 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.72/1.11 X, Y ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.72/1.11 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.72/1.11 ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.11 implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.72/1.11 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Z, X ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 131, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 134, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 137, [] )
% 0.72/1.11 .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 % SZS output end Refutation
% 0.72/1.11 found a proof!
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 initialclauses(
% 0.72/1.11 [ clause( 139, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.72/1.11 X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.11 , clause( 140, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.72/1.11 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , clause( 141, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.72/1.11 ] ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.72/1.11 ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , clause( 139, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.72/1.11 X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.72/1.11 , T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , clause( 140, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.72/1.11 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.72/1.11 , clause( 141, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 143, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.11 ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z,
% 0.72/1.11 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.72/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.72/1.11 Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X ) ) ) ) ),
% 0.72/1.11 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.72/1.11 :=( T, T ), :=( U, U )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.72/1.11 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.72/1.11 , clause( 143, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.72/1.11 Y ), implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z
% 0.72/1.11 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 144, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.72/1.11 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.72/1.11 implies( Z, U ) ) ) ) ) ] )
% 0.72/1.11 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.72/1.11 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.72/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, T ), :=( T, Y ),
% 0.72/1.11 :=( U, W ), :=( W, implies( X, implies( implies( implies( implies( Y, Z )
% 0.72/1.11 , implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U ) ) ) )
% 0.72/1.11 )] ), substitution( 1, [ :=( X, implies( Z, U ) ), :=( Y, implies( T, Y
% 0.72/1.11 ) ), :=( Z, W ), :=( T, implies( implies( Y, Z ), implies( T, Z ) ) ),
% 0.72/1.11 :=( U, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies( implies(
% 0.72/1.11 Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W, implies( Z, U )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 , clause( 144, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.72/1.11 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.72/1.11 implies( Z, U ) ) ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 145, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( U, implies( implies(
% 0.72/1.11 T, X ), implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.72/1.11 , 1, clause( 4, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.72/1.11 implies( Y, Z ), implies( T, Z ) ), implies( Z, U ) ), implies( W,
% 0.72/1.11 implies( Z, U ) ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.72/1.11 :=( U, V3 ), :=( W, implies( implies( implies( implies( X, Y ), implies(
% 0.72/1.11 Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ),
% 0.72/1.11 substitution( 1, [ :=( X, implies( implies( implies( W, V0 ), implies( V1
% 0.72/1.11 , V2 ) ), implies( V3, implies( implies( V2, W ), implies( V1, W ) ) ) )
% 0.72/1.11 ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W, U )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.72/1.11 )
% 0.72/1.11 , clause( 145, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.72/1.11 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.72/1.11 ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 147, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.72/1.11 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.72/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , 2, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.11 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.72/1.11 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.72/1.11 :=( T, T ), :=( U, U )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.72/1.11 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.72/1.11 , clause( 147, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.72/1.11 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 148, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.72/1.11 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.72/1.11 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.72/1.11 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.72/1.11 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.11 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.72/1.11 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.72/1.11 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.72/1.11 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.72/1.11 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.72/1.11 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.72/1.11 , clause( 148, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.72/1.11 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 149, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.72/1.11 implies( X, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 8, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.72/1.11 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.72/1.11 , 1, clause( 31, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.72/1.11 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.72/1.11 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.72/1.11 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.72/1.11 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.72/1.11 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.72/1.11 X, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 149, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.72/1.11 implies( X, Y ) ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 151, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , 2, clause( 33, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.72/1.11 implies( X, Y ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.72/1.11 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.72/1.11 Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.72/1.11 , clause( 151, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 152, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.72/1.11 ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.72/1.11 implies( implies( Y, Z ), Y ), implies( Z, Y ) ) ) )] ), substitution( 1
% 0.72/1.11 , [ :=( X, Y ), :=( Y, Z ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U,
% 0.72/1.11 X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.72/1.11 , Y ), implies( Z, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 152, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.72/1.11 Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 153, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ) ] )
% 0.72/1.11 , clause( 38, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 60, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.72/1.11 , Z ), Y ), implies( Z, Y ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies(
% 0.72/1.11 implies( X, Y ), X ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X,
% 0.72/1.11 implies( implies( Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ),
% 0.72/1.11 :=( Z, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ) ] )
% 0.72/1.11 , clause( 153, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 155, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.11 ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , 2, clause( 61, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Y, X ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.72/1.11 , Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , clause( 155, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.72/1.11 Y ), X ), implies( Y, X ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 156, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.72/1.11 ) ] )
% 0.72/1.11 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 5, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.11 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.72/1.11 ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( Z, Y ) ), :=( Y, Y ), :=( Z,
% 0.72/1.11 implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1, [ :=(
% 0.72/1.11 X, implies( Z, Y ) ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ),
% 0.72/1.11 :=( U, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.72/1.11 ] )
% 0.72/1.11 , clause( 156, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.72/1.11 ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 157, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.72/1.11 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 86, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.72/1.11 ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( X, implies(
% 0.72/1.11 Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( Z, T
% 0.72/1.11 ), Z ), implies( T, Z ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.72/1.11 , clause( 157, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 159, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ), Z
% 0.72/1.11 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.11 , 2, clause( 90, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.72/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.11 implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , clause( 159, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.72/1.11 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 160, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.72/1.11 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.11 , implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.11 implies( Z, T ) ), implies( U, implies( implies( T, X ), implies( Z, X )
% 0.72/1.11 ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, T ), :=( Z,
% 0.72/1.11 implies( X, implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] )
% 0.72/1.11 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.72/1.11 Y, Z ) ), :=( U, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.72/1.11 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.72/1.11 , clause( 160, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.72/1.11 Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 161, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Z, X ) ) ) ] )
% 0.72/1.11 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.11 , implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 107, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.72/1.11 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 0.72/1.11 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X,
% 0.72/1.11 implies( T, implies( U, T ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Z, X ) ) ) ] )
% 0.72/1.11 , clause( 161, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.72/1.11 implies( Z, X ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 162, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.11 , clause( 66, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.11 implies( implies( X, Y ), X ), implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 127, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.72/1.11 , implies( Z, X ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, implies( X, implies(
% 0.72/1.11 Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( Y, Y ) ), :=( Y, Y ),
% 0.72/1.11 :=( Z, X )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 131, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.11 , clause( 162, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 163, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.11 , clause( 93, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.11 , implies( Y, X ) ), Z ) ) ) ] )
% 0.72/1.11 , 1, clause( 131, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, X ) )] )
% 0.72/1.11 , substitution( 1, [ :=( X, implies( Y, implies( Z, Y ) ) ), :=( Y, X )] )
% 0.72/1.11 ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 134, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.11 , clause( 163, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 resolution(
% 0.72/1.11 clause( 164, [] )
% 0.72/1.11 , clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.72/1.11 , 0, clause( 134, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 subsumption(
% 0.72/1.11 clause( 137, [] )
% 0.72/1.11 , clause( 164, [] )
% 0.72/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 end.
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 2637
% 0.72/1.11 space for clauses: 17176
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 358
% 0.72/1.11 clauses kept: 138
% 0.72/1.11 clauses selected: 48
% 0.72/1.11 clauses deleted: 1
% 0.72/1.11 clauses inuse deleted: 0
% 0.72/1.11
% 0.72/1.11 subsentry: 273
% 0.72/1.11 literals s-matched: 221
% 0.72/1.11 literals matched: 221
% 0.72/1.11 full subsumption: 0
% 0.72/1.11
% 0.72/1.11 checksum: -526705160
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------