TSTP Solution File: LCL081-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL081-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL081-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jul 4 10:03:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.73/1.13 'is_a_theorem'( Y ) ],
% 0.73/1.13 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies(
% 0.73/1.13 implies( Z, X ), implies( T, X ) ) ) ) ],
% 0.73/1.13 [ ~( 'is_a_theorem'( implies( a, a ) ) ) ]
% 0.73/1.13 ] .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 percentage equality = 0.000000, percentage horn = 1.000000
% 0.73/1.13 This is a near-Horn, non-equality problem
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 0
% 0.73/1.13 useeqrefl = 0
% 0.73/1.13 useeqfact = 0
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 0
% 0.73/1.13 usesimpres = 4
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = standard
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = liftord
% 0.73/1.13
% 0.73/1.13 termordering = none
% 0.73/1.13
% 0.73/1.13 litapriori = 1
% 0.73/1.13 termapriori = 0
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negative
% 0.73/1.13
% 0.73/1.13 maxweight = 30000
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 0
% 0.73/1.13 increasemaxweight = 0
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 1
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.13 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.13 a [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Unsatisfiable
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.13 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.73/1.13 ) ), U ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 .
% 0.73/1.13 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.73/1.13 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.73/1.13 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.73/1.13 X, Y ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.13 implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, Z ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.73/1.13 , Y ), implies( T, Y ) ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.73/1.13 implies( Z, X ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 29, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 31, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 35, [] )
% 0.73/1.13 .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 initialclauses(
% 0.73/1.13 [ clause( 37, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.73/1.13 X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.13 , clause( 38, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , clause( 39, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.73/1.13 ] ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.73/1.13 ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , clause( 37, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.73/1.13 X ) ), 'is_a_theorem'( Y ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , clause( 38, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.73/1.13 , clause( 39, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 41, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.73/1.13 , Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.73/1.13 'is_a_theorem'( U ) ] )
% 0.73/1.13 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.13 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ), :=( Y, U )] ),
% 0.73/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.73/1.13 ) ), U ) ) ) ] )
% 0.73/1.13 , clause( 41, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.13 ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 0.73/1.13 'is_a_theorem'( U ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.13 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 42, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.73/1.13 ) ), U ) ) ) ] )
% 0.73/1.13 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 0.73/1.13 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ),
% 0.73/1.13 implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ), substitution( 1
% 0.73/1.13 , [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z, implies( implies( X, Y )
% 0.73/1.13 , implies( Z, Y ) ) ), :=( T, U )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , clause( 42, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.73/1.13 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.13 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 44, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.73/1.13 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.73/1.13 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.13 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.13 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 0.73/1.13 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.73/1.13 :=( T, T ), :=( U, U )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 , clause( 44, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 0.73/1.13 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.13 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 45, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.73/1.13 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 0.73/1.13 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 0.73/1.13 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 0.73/1.13 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 0.73/1.13 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 , clause( 45, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 46, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.73/1.13 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.73/1.13 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.73/1.13 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, U ), :=( T, Z ),
% 0.73/1.13 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 0.73/1.13 implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.73/1.13 implies( T, Y ), implies( U, Y ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.73/1.13 implies( implies( T, Y ), implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ),
% 0.73/1.13 :=( Z, implies( X, implies( Y, Z ) ) ), :=( T, W )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.73/1.13 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.73/1.13 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 , clause( 46, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.73/1.13 ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 0.73/1.13 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.73/1.13 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 47, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.73/1.13 X, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.73/1.13 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 0.73/1.13 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 0.73/1.13 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 0.73/1.13 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.73/1.13 X, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 47, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.73/1.13 implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 49, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 0.73/1.13 Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.73/1.13 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.13 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , 2, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, implies( Y, Z ) ) ) ) ), :=( Y, T )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 0.73/1.13 implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ] )
% 0.73/1.13 , clause( 49, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.73/1.13 , Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 0.73/1.13 )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 51, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.73/1.13 Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.13 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.13 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.73/1.13 implies( X, Y ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.73/1.13 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 0.73/1.13 Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.73/1.13 , clause( 51, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 52, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, Z ) ) ) ) ] )
% 0.73/1.13 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 0.73/1.13 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 0.73/1.13 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.73/1.13 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 0.73/1.13 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T, Z ),
% 0.73/1.13 :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( T,
% 0.73/1.13 Z ), implies( U, Z ) ) ), :=( Y, Z ), :=( Z, Z ), :=( T, Y ), :=( U, Z )
% 0.73/1.13 , :=( W, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.73/1.13 Z, Z ) ) ) ) ] )
% 0.73/1.13 , clause( 52, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, Z ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 53, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.73/1.13 , Y ), implies( T, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.73/1.13 ) ), U ) ) ) ] )
% 0.73/1.13 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.73/1.13 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 0.73/1.13 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, U ), :=( Z, implies( Y, Z ) ),
% 0.73/1.13 :=( T, T ), :=( U, implies( X, implies( implies( implies( Y, Z ), Y ),
% 0.73/1.13 implies( T, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, U ) ),
% 0.73/1.13 :=( Y, Y ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U, T ), :=( W, X )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 0.73/1.13 , Y ), implies( T, Y ) ) ) ) ] )
% 0.73/1.13 , clause( 53, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.73/1.13 ), Y ), implies( T, Y ) ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 54, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 0.73/1.13 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.73/1.13 implies( Z, Z ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies( X
% 0.73/1.13 , Y ), implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 0.73/1.13 Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 0.73/1.13 ] )
% 0.73/1.13 , clause( 54, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) )
% 0.73/1.13 ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 56, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.73/1.13 Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.13 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.73/1.13 , ~( 'is_a_theorem'( X ) ) ] )
% 0.73/1.13 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y
% 0.73/1.13 ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y, Y ) )
% 0.73/1.13 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.13 , clause( 56, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.73/1.13 implies( Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 57, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.73/1.13 implies( Z, X ) ) ) ] )
% 0.73/1.13 , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.73/1.13 , implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ]
% 0.73/1.13 )
% 0.73/1.13 , 1, clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.73/1.13 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.73/1.13 implies( implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [
% 0.73/1.13 :=( X, implies( T, implies( implies( U, W ), implies( W, implies( U, W )
% 0.73/1.13 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.73/1.13 implies( Z, X ) ) ) ] )
% 0.73/1.13 , clause( 57, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.73/1.13 implies( Z, X ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 58, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.13 , clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.13 , 1, clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.73/1.13 implies( Z, X ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, Y ), :=( Z,
% 0.73/1.13 implies( X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( Y
% 0.73/1.13 , Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 29, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.13 , clause( 58, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 59, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.13 , clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.73/1.13 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 0.73/1.13 , 1, clause( 29, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, X ) )] )
% 0.73/1.13 , substitution( 1, [ :=( X, implies( implies( Y, Z ), implies( Z, Z ) ) )
% 0.73/1.13 , :=( Y, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 31, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.13 , clause( 59, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 60, [] )
% 0.73/1.13 , clause( 2, [ ~( 'is_a_theorem'( implies( a, a ) ) ) ] )
% 0.73/1.13 , 0, clause( 31, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 35, [] )
% 0.73/1.13 , clause( 60, [] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 end.
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 600
% 0.73/1.13 space for clauses: 3735
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 77
% 0.73/1.13 clauses kept: 36
% 0.73/1.13 clauses selected: 21
% 0.73/1.13 clauses deleted: 1
% 0.73/1.13 clauses inuse deleted: 0
% 0.73/1.13
% 0.73/1.13 subsentry: 66
% 0.73/1.13 literals s-matched: 42
% 0.73/1.13 literals matched: 42
% 0.73/1.13 full subsumption: 0
% 0.73/1.13
% 0.73/1.13 checksum: -68899236
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------