TSTP Solution File: LCL082-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL082-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:50:01 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.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 : Sun Jul 3 17:39:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.70/1.09 'is_a_theorem'( Y ) ],
% 0.70/1.09 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies(
% 0.70/1.09 implies( Z, X ), implies( T, X ) ) ) ) ],
% 0.70/1.09 [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 0.000000, percentage horn = 1.000000
% 0.70/1.09 This is a near-Horn, non-equality problem
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 0
% 0.70/1.09 useeqrefl = 0
% 0.70/1.09 useeqfact = 0
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 0
% 0.70/1.09 usesimpres = 4
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = standard
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = liftord
% 0.70/1.09
% 0.70/1.09 termordering = none
% 0.70/1.09
% 0.70/1.09 litapriori = 1
% 0.70/1.09 termapriori = 0
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negative
% 0.70/1.09
% 0.70/1.09 maxweight = 30000
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 0
% 0.70/1.09 increasemaxweight = 0
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.09 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.70/1.09 ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.70/1.09 ) ), U ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 .
% 0.70/1.09 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.70/1.09 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.70/1.09 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.70/1.09 X, Y ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, Z ) ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 65, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 67, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.70/1.09 X ) ), 'is_a_theorem'( Y ) ] )
% 0.70/1.09 , clause( 68, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , clause( 69, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.70/1.09 ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , clause( 67, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.70/1.09 X ) ), 'is_a_theorem'( Y ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , clause( 68, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.70/1.09 , clause( 69, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 71, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.70/1.09 , Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.70/1.09 'is_a_theorem'( U ) ] )
% 0.70/1.09 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.70/1.09 , ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ), :=( Y, U )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.70/1.09 ) ), U ) ) ) ] )
% 0.70/1.09 , clause( 71, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.70/1.09 ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.70/1.09 'is_a_theorem'( U ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.09 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 72, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.70/1.09 ) ), U ) ) ) ] )
% 0.70/1.09 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 0.70/1.09 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ),
% 0.70/1.09 implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ), substitution( 1
% 0.70/1.09 , [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z, implies( implies( X, Y )
% 0.70/1.09 , implies( Z, Y ) ) ), :=( T, U )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 72, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.70/1.09 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.09 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 74, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.70/1.09 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.70/1.09 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.70/1.09 , ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.70/1.09 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.70/1.09 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.70/1.09 :=( T, T ), :=( U, U )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 , clause( 74, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.70/1.09 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.09 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 75, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.70/1.09 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.70/1.09 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.70/1.09 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.70/1.09 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.70/1.09 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.70/1.09 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.70/1.09 , clause( 75, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.70/1.09 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 76, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.70/1.09 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.70/1.09 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.70/1.09 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, U ), :=( T, Z ),
% 0.70/1.09 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 0.70/1.09 implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.70/1.09 implies( T, Y ), implies( U, Y ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.70/1.09 implies( implies( T, Y ), implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ),
% 0.70/1.09 :=( Z, implies( X, implies( Y, Z ) ) ), :=( T, W )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.70/1.09 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.70/1.09 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.70/1.09 , clause( 76, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.70/1.09 ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.70/1.09 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.70/1.09 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 77, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.70/1.09 X, Y ) ) ) ) ] )
% 0.70/1.09 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.70/1.09 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.70/1.09 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.70/1.09 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.70/1.09 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.70/1.09 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.70/1.09 X, Y ) ) ) ) ] )
% 0.70/1.09 , clause( 77, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.70/1.09 implies( X, Y ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 79, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.70/1.09 Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.70/1.09 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.70/1.09 , ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.70/1.09 implies( X, Y ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.70/1.09 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.70/1.09 Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.70/1.09 , clause( 79, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 80, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, Z ) ) ) ) ] )
% 0.70/1.09 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.70/1.09 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.70/1.09 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.70/1.09 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 0.70/1.09 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T, Z ),
% 0.70/1.09 :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies( Y, Z ),
% 0.70/1.09 implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( T,
% 0.70/1.09 Z ), implies( U, Z ) ) ), :=( Y, Z ), :=( Z, Z ), :=( T, Y ), :=( U, Z )
% 0.70/1.09 , :=( W, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.70/1.09 Z, Z ) ) ) ) ] )
% 0.70/1.09 , clause( 80, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.70/1.09 implies( Z, Z ) ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 81, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.70/1.09 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.70/1.09 implies( Z, Z ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies( X
% 0.70/1.09 , Y ), implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.70/1.09 Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 81, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 83, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.70/1.09 Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.70/1.09 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.70/1.09 , ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y, Y ) )
% 0.70/1.09 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.70/1.09 , clause( 83, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.70/1.09 implies( Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 84, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ) ] )
% 0.70/1.09 , clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.70/1.09 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.70/1.09 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.70/1.09 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y
% 0.70/1.09 ), :=( Y, X ), :=( Z, implies( X, X ) ), :=( T, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ) ] )
% 0.70/1.09 , clause( 84, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 86, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X )
% 0.70/1.09 , Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.70/1.09 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.70/1.09 , ~( 'is_a_theorem'( X ) ) ] )
% 0.70/1.09 , 2, clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.70/1.09 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.70/1.09 , Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.70/1.09 , clause( 86, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.70/1.09 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 87, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.70/1.09 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.70/1.09 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, Y ) ), :=( Z, Y ),
% 0.70/1.09 :=( T, implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1
% 0.70/1.09 , [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ), :=( U,
% 0.70/1.09 X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 87, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.70/1.09 ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 88, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.70/1.09 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.70/1.09 , 1, clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.70/1.09 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.70/1.09 implies( Z, Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.09 , clause( 88, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 89, [] )
% 0.70/1.09 , clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.70/1.09 , 0, clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 65, [] )
% 0.70/1.09 , clause( 89, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 1039
% 0.70/1.09 space for clauses: 6588
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 241
% 0.70/1.09 clauses kept: 66
% 0.70/1.09 clauses selected: 36
% 0.70/1.09 clauses deleted: 1
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 215
% 0.70/1.09 literals s-matched: 176
% 0.70/1.09 literals matched: 176
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: 1504774066
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------