TSTP Solution File: SET027-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET027-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Mon Jul 18 22:45:46 EDT 2022
% Result : Unsatisfiable 0.80s 1.32s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET027-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.14/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sun Jul 10 01:43:32 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.78/1.15 *** allocated 10000 integers for termspace/termends
% 0.78/1.15 *** allocated 10000 integers for clauses
% 0.78/1.15 *** allocated 10000 integers for justifications
% 0.78/1.15 Bliksem 1.12
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Automatic Strategy Selection
% 0.78/1.15
% 0.78/1.15 Clauses:
% 0.78/1.15 [
% 0.78/1.15 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.78/1.15 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.78/1.15 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.78/1.15 ,
% 0.78/1.15 [ subclass( X, 'universal_class' ) ],
% 0.78/1.15 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.78/1.15 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.78/1.15 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.78/1.15 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.78/1.15 ,
% 0.78/1.15 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.78/1.15 ) ) ],
% 0.78/1.15 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.78/1.15 ) ) ],
% 0.78/1.15 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.78/1.15 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.78/1.15 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.78/1.15 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.78/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.78/1.15 X, Z ) ],
% 0.78/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.78/1.15 Y, T ) ],
% 0.78/1.15 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.78/1.15 ), 'cross_product'( Y, T ) ) ],
% 0.78/1.15 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.78/1.15 ), second( X ) ), X ) ],
% 0.78/1.15 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.78/1.15 'universal_class' ) ) ],
% 0.78/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.78/1.15 Y ) ],
% 0.78/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.78/1.15 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.78/1.15 , Y ), 'element_relation' ) ],
% 0.78/1.15 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.78/1.15 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.78/1.15 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.78/1.15 Z ) ) ],
% 0.78/1.16 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.78/1.16 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.78/1.16 member( X, Y ) ],
% 0.78/1.16 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.78/1.16 union( X, Y ) ) ],
% 0.78/1.16 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.78/1.16 intersection( complement( X ), complement( Y ) ) ) ),
% 0.78/1.16 'symmetric_difference'( X, Y ) ) ],
% 0.78/1.16 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.78/1.16 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.78/1.16 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.78/1.16 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.78/1.16 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.78/1.16 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.78/1.16 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.78/1.16 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.78/1.16 'cross_product'( 'universal_class', 'universal_class' ),
% 0.78/1.16 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.78/1.16 Y ), rotate( T ) ) ],
% 0.78/1.16 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.78/1.16 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.78/1.16 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.78/1.16 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.78/1.16 'cross_product'( 'universal_class', 'universal_class' ),
% 0.78/1.16 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.78/1.16 Z ), flip( T ) ) ],
% 0.78/1.16 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.78/1.16 inverse( X ) ) ],
% 0.78/1.16 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.78/1.16 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.78/1.16 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.78/1.16 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.78/1.16 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.78/1.16 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.78/1.16 ],
% 0.78/1.16 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.78/1.16 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.78/1.16 'universal_class' ) ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.78/1.16 successor( X ), Y ) ],
% 0.78/1.16 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.78/1.16 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.78/1.16 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.78/1.16 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.78/1.16 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.78/1.16 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.78/1.16 [ inductive( omega ) ],
% 0.78/1.16 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.78/1.16 [ member( omega, 'universal_class' ) ],
% 0.78/1.16 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.78/1.16 , 'sum_class'( X ) ) ],
% 0.78/1.16 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.78/1.16 'universal_class' ) ],
% 0.78/1.16 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.78/1.16 'power_class'( X ) ) ],
% 0.78/1.16 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.78/1.16 'universal_class' ) ],
% 0.78/1.16 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.78/1.16 'universal_class' ) ) ],
% 0.78/1.16 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.78/1.16 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.78/1.16 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.78/1.16 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.78/1.16 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.78/1.16 , 'identity_relation' ) ],
% 0.78/1.16 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.78/1.16 'single_valued_class'( X ) ],
% 0.78/1.16 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.78/1.16 'universal_class' ) ) ],
% 0.78/1.16 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.78/1.16 'identity_relation' ) ],
% 0.78/1.16 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.78/1.16 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.78/1.16 , function( X ) ],
% 0.78/1.16 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.78/1.16 X, Y ), 'universal_class' ) ],
% 0.78/1.16 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.78/1.16 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.78/1.16 ) ],
% 0.78/1.16 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.78/1.16 [ function( choice ) ],
% 0.78/1.16 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.78/1.16 apply( choice, X ), X ) ],
% 0.78/1.16 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.78/1.16 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.78/1.16 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.78/1.16 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.78/1.16 , complement( compose( complement( 'element_relation' ), inverse(
% 0.78/1.16 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.78/1.16 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.78/1.16 'identity_relation' ) ],
% 0.78/1.16 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.78/1.16 , diagonalise( X ) ) ],
% 0.78/1.16 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.78/1.16 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.78/1.16 [ ~( operation( X ) ), function( X ) ],
% 0.78/1.16 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.78/1.16 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.78/1.16 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.80/1.32 'domain_of'( X ) ) ) ],
% 0.80/1.32 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.80/1.32 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.80/1.32 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.80/1.32 X ) ],
% 0.80/1.32 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.80/1.32 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.80/1.32 'domain_of'( X ) ) ],
% 0.80/1.32 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.80/1.32 'domain_of'( Z ) ) ) ],
% 0.80/1.32 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.80/1.32 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.80/1.32 ), compatible( X, Y, Z ) ],
% 0.80/1.32 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.80/1.32 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.80/1.32 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.80/1.32 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.80/1.32 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.80/1.32 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.80/1.32 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.80/1.32 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.80/1.32 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.80/1.32 , Y ) ],
% 0.80/1.32 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.80/1.32 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.80/1.32 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.80/1.32 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.80/1.32 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.80/1.32 [ subclass( x, y ) ],
% 0.80/1.32 [ subclass( y, z ) ],
% 0.80/1.32 [ ~( subclass( x, z ) ) ]
% 0.80/1.32 ] .
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 percentage equality = 0.211957, percentage horn = 0.914894
% 0.80/1.32 This is a problem with some equality
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Options Used:
% 0.80/1.32
% 0.80/1.32 useres = 1
% 0.80/1.32 useparamod = 1
% 0.80/1.32 useeqrefl = 1
% 0.80/1.32 useeqfact = 1
% 0.80/1.32 usefactor = 1
% 0.80/1.32 usesimpsplitting = 0
% 0.80/1.32 usesimpdemod = 5
% 0.80/1.32 usesimpres = 3
% 0.80/1.32
% 0.80/1.32 resimpinuse = 1000
% 0.80/1.32 resimpclauses = 20000
% 0.80/1.32 substype = eqrewr
% 0.80/1.32 backwardsubs = 1
% 0.80/1.32 selectoldest = 5
% 0.80/1.32
% 0.80/1.32 litorderings [0] = split
% 0.80/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.32
% 0.80/1.32 termordering = kbo
% 0.80/1.32
% 0.80/1.32 litapriori = 0
% 0.80/1.32 termapriori = 1
% 0.80/1.32 litaposteriori = 0
% 0.80/1.32 termaposteriori = 0
% 0.80/1.32 demodaposteriori = 0
% 0.80/1.32 ordereqreflfact = 0
% 0.80/1.32
% 0.80/1.32 litselect = negord
% 0.80/1.32
% 0.80/1.32 maxweight = 15
% 0.80/1.32 maxdepth = 30000
% 0.80/1.32 maxlength = 115
% 0.80/1.32 maxnrvars = 195
% 0.80/1.32 excuselevel = 1
% 0.80/1.32 increasemaxweight = 1
% 0.80/1.32
% 0.80/1.32 maxselected = 10000000
% 0.80/1.32 maxnrclauses = 10000000
% 0.80/1.32
% 0.80/1.32 showgenerated = 0
% 0.80/1.32 showkept = 0
% 0.80/1.32 showselected = 0
% 0.80/1.32 showdeleted = 0
% 0.80/1.32 showresimp = 1
% 0.80/1.32 showstatus = 2000
% 0.80/1.32
% 0.80/1.32 prologoutput = 1
% 0.80/1.32 nrgoals = 5000000
% 0.80/1.32 totalproof = 1
% 0.80/1.32
% 0.80/1.32 Symbols occurring in the translation:
% 0.80/1.32
% 0.80/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.32 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.80/1.32 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 0.80/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.32 subclass [41, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.80/1.32 member [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.80/1.32 'not_subclass_element' [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.80/1.32 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.80/1.32 'unordered_pair' [46, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.80/1.32 singleton [47, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.80/1.32 'ordered_pair' [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.80/1.32 'cross_product' [50, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.80/1.32 first [52, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.80/1.32 second [53, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.80/1.32 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.80/1.32 intersection [55, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.80/1.32 complement [56, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.80/1.32 union [57, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.80/1.32 'symmetric_difference' [58, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.80/1.32 restrict [60, 3] (w:1, o:94, a:1, s:1, b:0),
% 0.80/1.32 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.80/1.32 'domain_of' [62, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.80/1.32 rotate [63, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.80/1.32 flip [65, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.80/1.32 inverse [66, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.80/1.32 'range_of' [67, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.80/1.32 domain [68, 3] (w:1, o:96, a:1, s:1, b:0),
% 0.80/1.32 range [69, 3] (w:1, o:97, a:1, s:1, b:0),
% 0.80/1.32 image [70, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.80/1.32 successor [71, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.80/1.32 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.80/1.32 inductive [73, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.80/1.32 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.80/1.32 'sum_class' [75, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.80/1.32 'power_class' [76, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.80/1.32 compose [78, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.80/1.32 'single_valued_class' [79, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.80/1.32 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.80/1.32 function [82, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.32 regular [83, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.80/1.32 apply [84, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.80/1.32 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.80/1.32 'one_to_one' [86, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.80/1.32 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.80/1.32 diagonalise [88, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.80/1.32 cantor [89, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.80/1.32 operation [90, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.80/1.32 compatible [94, 3] (w:1, o:95, a:1, s:1, b:0),
% 0.80/1.32 homomorphism [95, 3] (w:1, o:98, a:1, s:1, b:0),
% 0.80/1.32 'not_homomorphism1' [96, 3] (w:1, o:99, a:1, s:1, b:0),
% 0.80/1.32 'not_homomorphism2' [97, 3] (w:1, o:100, a:1, s:1, b:0),
% 0.80/1.32 x [98, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.80/1.32 y [99, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.80/1.32 z [100, 0] (w:1, o:31, a:1, s:1, b:0).
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Starting Search:
% 0.80/1.32
% 0.80/1.32 Resimplifying inuse:
% 0.80/1.32 Done
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Intermediate Status:
% 0.80/1.32 Generated: 4439
% 0.80/1.32 Kept: 2001
% 0.80/1.32 Inuse: 119
% 0.80/1.32 Deleted: 4
% 0.80/1.32 Deletedinuse: 2
% 0.80/1.32
% 0.80/1.32 Resimplifying inuse:
% 0.80/1.32 Done
% 0.80/1.32
% 0.80/1.32 Resimplifying inuse:
% 0.80/1.32 Done
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Bliksems!, er is een bewijs:
% 0.80/1.32 % SZS status Unsatisfiable
% 0.80/1.32 % SZS output start Refutation
% 0.80/1.32
% 0.80/1.32 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.80/1.32 )
% 0.80/1.32 .
% 0.80/1.32 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 0.80/1.32 ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 0.80/1.32 , Y ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 90, [ subclass( x, y ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 91, [ subclass( y, z ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 92, [ ~( subclass( x, z ) ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 107, [ ~( member( X, y ) ), member( X, z ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 108, [ ~( member( X, x ) ), member( X, y ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 112, [ member( 'not_subclass_element'( x, z ), x ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 119, [ ~( member( 'not_subclass_element'( x, z ), z ) ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 3539, [ member( 'not_subclass_element'( x, z ), y ) ] )
% 0.80/1.32 .
% 0.80/1.32 clause( 3680, [] )
% 0.80/1.32 .
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 % SZS output end Refutation
% 0.80/1.32 found a proof!
% 0.80/1.32
% 0.80/1.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.32
% 0.80/1.32 initialclauses(
% 0.80/1.32 [ clause( 3682, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.80/1.32 ) ] )
% 0.80/1.32 , clause( 3683, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.80/1.32 , Y ) ] )
% 0.80/1.32 , clause( 3684, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.80/1.32 subclass( X, Y ) ] )
% 0.80/1.32 , clause( 3685, [ subclass( X, 'universal_class' ) ] )
% 0.80/1.32 , clause( 3686, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.80/1.32 , clause( 3687, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 0.80/1.32 , clause( 3688, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3689, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 0.80/1.32 =( X, Z ) ] )
% 0.80/1.32 , clause( 3690, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.80/1.32 'unordered_pair'( X, Y ) ) ] )
% 0.80/1.32 , clause( 3691, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.80/1.32 'unordered_pair'( Y, X ) ) ] )
% 0.80/1.32 , clause( 3692, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3693, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.80/1.32 , clause( 3694, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 0.80/1.32 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.80/1.32 , clause( 3695, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.80/1.32 ) ) ), member( X, Z ) ] )
% 0.80/1.32 , clause( 3696, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.80/1.32 ) ) ), member( Y, T ) ] )
% 0.80/1.32 , clause( 3697, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.80/1.32 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.80/1.32 , clause( 3698, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 0.80/1.32 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.80/1.32 , clause( 3699, [ subclass( 'element_relation', 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3700, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.80/1.32 , member( X, Y ) ] )
% 0.80/1.32 , clause( 3701, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.80/1.32 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.80/1.32 , clause( 3702, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3703, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3704, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.80/1.32 intersection( Y, Z ) ) ] )
% 0.80/1.32 , clause( 3705, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3706, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.80/1.32 complement( Y ) ), member( X, Y ) ] )
% 0.80/1.32 , clause( 3707, [ =( complement( intersection( complement( X ), complement(
% 0.80/1.32 Y ) ) ), union( X, Y ) ) ] )
% 0.80/1.32 , clause( 3708, [ =( intersection( complement( intersection( X, Y ) ),
% 0.80/1.32 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.80/1.32 'symmetric_difference'( X, Y ) ) ] )
% 0.80/1.32 , clause( 3709, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 0.80/1.32 X, Y, Z ) ) ] )
% 0.80/1.32 , clause( 3710, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 0.80/1.32 Z, X, Y ) ) ] )
% 0.80/1.32 , clause( 3711, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 0.80/1.32 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 0.80/1.32 , clause( 3712, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 0.80/1.32 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.80/1.32 'domain_of'( Y ) ) ] )
% 0.80/1.32 , clause( 3713, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3714, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.80/1.32 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.80/1.32 ] )
% 0.80/1.32 , clause( 3715, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.80/1.32 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.80/1.32 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.80/1.32 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.80/1.32 , Y ), rotate( T ) ) ] )
% 0.80/1.32 , clause( 3716, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3717, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.80/1.32 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3718, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.80/1.32 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.80/1.32 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.80/1.32 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.80/1.32 , Z ), flip( T ) ) ] )
% 0.80/1.32 , clause( 3719, [ =( 'domain_of'( flip( 'cross_product'( X,
% 0.80/1.32 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.80/1.32 , clause( 3720, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 0.80/1.32 , clause( 3721, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 0.80/1.32 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.80/1.32 , clause( 3722, [ =( second( 'not_subclass_element'( restrict( X, singleton(
% 0.80/1.32 Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.80/1.32 , clause( 3723, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 0.80/1.32 image( X, Y ) ) ] )
% 0.80/1.32 , clause( 3724, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 0.80/1.32 , clause( 3725, [ subclass( 'successor_relation', 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3726, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.80/1.32 ), =( successor( X ), Y ) ] )
% 0.80/1.32 , clause( 3727, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X
% 0.80/1.32 , Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 0.80/1.32 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 0.80/1.32 , clause( 3728, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.80/1.32 , clause( 3729, [ ~( inductive( X ) ), subclass( image(
% 0.80/1.32 'successor_relation', X ), X ) ] )
% 0.80/1.32 , clause( 3730, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.80/1.32 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.80/1.32 , clause( 3731, [ inductive( omega ) ] )
% 0.80/1.32 , clause( 3732, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.80/1.32 , clause( 3733, [ member( omega, 'universal_class' ) ] )
% 0.80/1.32 , clause( 3734, [ =( 'domain_of'( restrict( 'element_relation',
% 0.80/1.32 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.80/1.32 , clause( 3735, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.80/1.32 X ), 'universal_class' ) ] )
% 0.80/1.32 , clause( 3736, [ =( complement( image( 'element_relation', complement( X )
% 0.80/1.32 ) ), 'power_class'( X ) ) ] )
% 0.80/1.32 , clause( 3737, [ ~( member( X, 'universal_class' ) ), member(
% 0.80/1.32 'power_class'( X ), 'universal_class' ) ] )
% 0.80/1.32 , clause( 3738, [ subclass( compose( X, Y ), 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3739, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.80/1.32 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.80/1.32 , clause( 3740, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 0.80/1.32 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.80/1.32 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.80/1.32 ) ] )
% 0.80/1.32 , clause( 3741, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.80/1.32 inverse( X ) ), 'identity_relation' ) ] )
% 0.80/1.32 , clause( 3742, [ ~( subclass( compose( X, inverse( X ) ),
% 0.80/1.32 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.80/1.32 , clause( 3743, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.80/1.32 'universal_class', 'universal_class' ) ) ] )
% 0.80/1.32 , clause( 3744, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 0.80/1.32 , 'identity_relation' ) ] )
% 0.80/1.32 , clause( 3745, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.80/1.32 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.80/1.32 'identity_relation' ) ), function( X ) ] )
% 0.80/1.32 , clause( 3746, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.80/1.32 member( image( X, Y ), 'universal_class' ) ] )
% 0.80/1.32 , clause( 3747, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.80/1.32 , clause( 3748, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 0.80/1.32 , 'null_class' ) ] )
% 0.80/1.32 , clause( 3749, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y
% 0.80/1.32 ) ) ] )
% 0.80/1.32 , clause( 3750, [ function( choice ) ] )
% 0.80/1.32 , clause( 3751, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' )
% 0.80/1.32 , member( apply( choice, X ), X ) ] )
% 0.80/1.32 , clause( 3752, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.80/1.32 , clause( 3753, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.80/1.32 , clause( 3754, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.80/1.32 'one_to_one'( X ) ] )
% 0.80/1.32 , clause( 3755, [ =( intersection( 'cross_product'( 'universal_class',
% 0.80/1.32 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.80/1.32 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.80/1.32 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.80/1.32 , clause( 3756, [ =( intersection( inverse( 'subset_relation' ),
% 0.80/1.32 'subset_relation' ), 'identity_relation' ) ] )
% 0.80/1.32 , clause( 3757, [ =( complement( 'domain_of'( intersection( X,
% 0.80/1.32 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.80/1.32 , clause( 3758, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.80/1.32 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.80/1.32 , clause( 3759, [ ~( operation( X ) ), function( X ) ] )
% 0.80/1.32 , clause( 3760, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 0.80/1.32 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.80/1.32 ] )
% 0.80/1.32 , clause( 3761, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.80/1.32 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.80/1.32 , clause( 3762, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 0.80/1.32 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.80/1.32 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.80/1.32 operation( X ) ] )
% 0.80/1.32 , clause( 3763, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.80/1.32 , clause( 3764, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 0.80/1.32 Y ) ), 'domain_of'( X ) ) ] )
% 0.80/1.32 , clause( 3765, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.80/1.32 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.80/1.32 , clause( 3766, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) )
% 0.80/1.32 , 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.80/1.32 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 0.80/1.32 , clause( 3767, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.80/1.32 , clause( 3768, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.80/1.32 , clause( 3769, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.80/1.32 , clause( 3770, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 0.80/1.32 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 0.80/1.32 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3771, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.80/1.32 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.80/1.32 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.80/1.32 , Y ) ] )
% 0.80/1.32 , clause( 3772, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.80/1.32 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 0.80/1.32 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 0.80/1.32 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 0.80/1.32 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3773, [ subclass( x, y ) ] )
% 0.80/1.32 , clause( 3774, [ subclass( y, z ) ] )
% 0.80/1.32 , clause( 3775, [ ~( subclass( x, z ) ) ] )
% 0.80/1.32 ] ).
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 subsumption(
% 0.80/1.32 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.80/1.32 )
% 0.80/1.32 , clause( 3682, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.80/1.32 ) ] )
% 0.80/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.80/1.32 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 subsumption(
% 0.80/1.32 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 0.80/1.32 ] )
% 0.80/1.32 , clause( 3683, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.80/1.33 , Y ) ] )
% 0.80/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.33 ), ==>( 1, 1 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 0.80/1.33 , Y ) ] )
% 0.80/1.33 , clause( 3684, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.80/1.33 subclass( X, Y ) ] )
% 0.80/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.33 ), ==>( 1, 1 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 90, [ subclass( x, y ) ] )
% 0.80/1.33 , clause( 3773, [ subclass( x, y ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 91, [ subclass( y, z ) ] )
% 0.80/1.33 , clause( 3774, [ subclass( y, z ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 92, [ ~( subclass( x, z ) ) ] )
% 0.80/1.33 , clause( 3775, [ ~( subclass( x, z ) ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3926, [ ~( member( X, y ) ), member( X, z ) ] )
% 0.80/1.33 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.80/1.33 )
% 0.80/1.33 , 0, clause( 91, [ subclass( y, z ) ] )
% 0.80/1.33 , 0, substitution( 0, [ :=( X, y ), :=( Y, z ), :=( Z, X )] ),
% 0.80/1.33 substitution( 1, [] )).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 107, [ ~( member( X, y ) ), member( X, z ) ] )
% 0.80/1.33 , clause( 3926, [ ~( member( X, y ) ), member( X, z ) ] )
% 0.80/1.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.80/1.33 1 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3927, [ ~( member( X, x ) ), member( X, y ) ] )
% 0.80/1.33 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.80/1.33 )
% 0.80/1.33 , 0, clause( 90, [ subclass( x, y ) ] )
% 0.80/1.33 , 0, substitution( 0, [ :=( X, x ), :=( Y, y ), :=( Z, X )] ),
% 0.80/1.33 substitution( 1, [] )).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 108, [ ~( member( X, x ) ), member( X, y ) ] )
% 0.80/1.33 , clause( 3927, [ ~( member( X, x ) ), member( X, y ) ] )
% 0.80/1.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.80/1.33 1 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3928, [ member( 'not_subclass_element'( x, z ), x ) ] )
% 0.80/1.33 , clause( 92, [ ~( subclass( x, z ) ) ] )
% 0.80/1.33 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.80/1.33 , Y ) ] )
% 0.80/1.33 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, z )] )
% 0.80/1.33 ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 112, [ member( 'not_subclass_element'( x, z ), x ) ] )
% 0.80/1.33 , clause( 3928, [ member( 'not_subclass_element'( x, z ), x ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3929, [ ~( member( 'not_subclass_element'( x, z ), z ) ) ] )
% 0.80/1.33 , clause( 92, [ ~( subclass( x, z ) ) ] )
% 0.80/1.33 , 0, clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.80/1.33 subclass( X, Y ) ] )
% 0.80/1.33 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, z )] )
% 0.80/1.33 ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 119, [ ~( member( 'not_subclass_element'( x, z ), z ) ) ] )
% 0.80/1.33 , clause( 3929, [ ~( member( 'not_subclass_element'( x, z ), z ) ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3930, [ member( 'not_subclass_element'( x, z ), y ) ] )
% 0.80/1.33 , clause( 108, [ ~( member( X, x ) ), member( X, y ) ] )
% 0.80/1.33 , 0, clause( 112, [ member( 'not_subclass_element'( x, z ), x ) ] )
% 0.80/1.33 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( x, z ) )] ),
% 0.80/1.33 substitution( 1, [] )).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 3539, [ member( 'not_subclass_element'( x, z ), y ) ] )
% 0.80/1.33 , clause( 3930, [ member( 'not_subclass_element'( x, z ), y ) ] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3931, [ member( 'not_subclass_element'( x, z ), z ) ] )
% 0.80/1.33 , clause( 107, [ ~( member( X, y ) ), member( X, z ) ] )
% 0.80/1.33 , 0, clause( 3539, [ member( 'not_subclass_element'( x, z ), y ) ] )
% 0.80/1.33 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( x, z ) )] ),
% 0.80/1.33 substitution( 1, [] )).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 resolution(
% 0.80/1.33 clause( 3932, [] )
% 0.80/1.33 , clause( 119, [ ~( member( 'not_subclass_element'( x, z ), z ) ) ] )
% 0.80/1.33 , 0, clause( 3931, [ member( 'not_subclass_element'( x, z ), z ) ] )
% 0.80/1.33 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 subsumption(
% 0.80/1.33 clause( 3680, [] )
% 0.80/1.33 , clause( 3932, [] )
% 0.80/1.33 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 end.
% 0.80/1.33
% 0.80/1.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.33
% 0.80/1.33 Memory use:
% 0.80/1.33
% 0.80/1.33 space for terms: 56930
% 0.80/1.33 space for clauses: 174684
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 clauses generated: 8886
% 0.80/1.33 clauses kept: 3681
% 0.80/1.33 clauses selected: 194
% 0.80/1.33 clauses deleted: 8
% 0.80/1.33 clauses inuse deleted: 4
% 0.80/1.33
% 0.80/1.33 subsentry: 21626
% 0.80/1.33 literals s-matched: 17233
% 0.80/1.33 literals matched: 17014
% 0.80/1.33 full subsumption: 9281
% 0.80/1.33
% 0.80/1.33 checksum: 1407087425
% 0.80/1.33
% 0.80/1.33
% 0.80/1.33 Bliksem ended
%------------------------------------------------------------------------------