%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET199-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:48:05 EDT 2022
% Result : Unsatisfiable 6.24s 6.65s
% Output : Refutation 6.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET199-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.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 10 08:39:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.08 *** allocated 10000 integers for termspace/termends
% 0.41/1.08 *** allocated 10000 integers for clauses
% 0.41/1.08 *** allocated 10000 integers for justifications
% 0.41/1.08 Bliksem 1.12
% 0.41/1.08
% 0.41/1.08
% 0.41/1.08 Automatic Strategy Selection
% 0.41/1.08
% 0.41/1.08 Clauses:
% 0.41/1.08 [
% 0.41/1.08 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.41/1.08 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.41/1.08 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.41/1.08 ,
% 0.41/1.08 [ subclass( X, 'universal_class' ) ],
% 0.41/1.08 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.41/1.08 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.41/1.08 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.41/1.08 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.41/1.08 ,
% 0.41/1.08 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.41/1.08 ) ) ],
% 0.41/1.08 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.41/1.08 ) ) ],
% 0.41/1.08 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.41/1.08 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.41/1.08 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.41/1.08 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.41/1.08 X, Z ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.41/1.08 Y, T ) ],
% 0.41/1.08 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.41/1.08 ), 'cross_product'( Y, T ) ) ],
% 0.41/1.08 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.41/1.08 ), second( X ) ), X ) ],
% 0.41/1.08 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.41/1.08 'universal_class' ) ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.41/1.08 Y ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.41/1.08 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.41/1.08 , Y ), 'element_relation' ) ],
% 0.41/1.08 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.41/1.08 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.41/1.08 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.41/1.08 Z ) ) ],
% 0.41/1.08 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.41/1.08 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.41/1.08 member( X, Y ) ],
% 0.41/1.08 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.41/1.08 union( X, Y ) ) ],
% 0.41/1.08 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.41/1.08 intersection( complement( X ), complement( Y ) ) ) ),
% 0.41/1.08 'symmetric_difference'( X, Y ) ) ],
% 0.41/1.08 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.41/1.08 ,
% 0.41/1.08 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.41/1.08 ,
% 0.41/1.08 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.41/1.08 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.41/1.08 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.41/1.08 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.41/1.08 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.41/1.08 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.41/1.08 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.41/1.08 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.41/1.08 'cross_product'( 'universal_class', 'universal_class' ),
% 0.41/1.08 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.41/1.08 Y ), rotate( T ) ) ],
% 0.41/1.08 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.41/1.08 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.41/1.08 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.41/1.08 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.41/1.08 'cross_product'( 'universal_class', 'universal_class' ),
% 0.41/1.08 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.41/1.08 Z ), flip( T ) ) ],
% 0.41/1.08 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.41/1.08 inverse( X ) ) ],
% 0.41/1.08 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.41/1.08 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.41/1.08 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.41/1.08 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.41/1.08 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.41/1.08 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.41/1.08 ],
% 0.41/1.08 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.41/1.08 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.41/1.08 'universal_class' ) ) ],
% 0.41/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.41/1.08 successor( X ), Y ) ],
% 0.41/1.08 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.41/1.08 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.41/1.08 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.41/1.08 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.41/1.08 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.41/1.08 ,
% 0.41/1.08 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.72/1.08 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.08 [ inductive( omega ) ],
% 0.72/1.08 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.08 [ member( omega, 'universal_class' ) ],
% 0.72/1.08 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.08 , 'sum_class'( X ) ) ],
% 0.72/1.08 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.72/1.08 'universal_class' ) ],
% 0.72/1.08 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.72/1.08 'power_class'( X ) ) ],
% 0.72/1.08 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.72/1.08 'universal_class' ) ],
% 0.72/1.08 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.72/1.08 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.08 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.72/1.08 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.08 ) ],
% 0.72/1.08 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.08 , 'identity_relation' ) ],
% 0.72/1.08 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.72/1.08 'single_valued_class'( X ) ],
% 0.72/1.08 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ],
% 0.72/1.08 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.72/1.08 'identity_relation' ) ],
% 0.72/1.08 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.08 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.08 , function( X ) ],
% 0.72/1.08 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.72/1.08 X, Y ), 'universal_class' ) ],
% 0.72/1.08 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.08 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.08 ) ],
% 0.72/1.08 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.08 [ function( choice ) ],
% 0.72/1.08 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.72/1.08 apply( choice, X ), X ) ],
% 0.72/1.08 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.08 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.08 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.08 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.08 , complement( compose( complement( 'element_relation' ), inverse(
% 0.72/1.08 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.08 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.72/1.08 'identity_relation' ) ],
% 0.72/1.08 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.08 , diagonalise( X ) ) ],
% 0.72/1.08 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.72/1.08 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.08 [ ~( operation( X ) ), function( X ) ],
% 0.72/1.08 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.08 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.08 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.08 'domain_of'( X ) ) ) ],
% 0.72/1.08 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.72/1.08 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.72/1.08 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.72/1.08 X ) ],
% 0.72/1.08 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.72/1.08 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.72/1.08 'domain_of'( X ) ) ],
% 0.72/1.08 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.08 'domain_of'( Z ) ) ) ],
% 0.72/1.08 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.72/1.08 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.72/1.08 ), compatible( X, Y, Z ) ],
% 0.72/1.08 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.72/1.08 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.72/1.08 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.72/1.08 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.72/1.08 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.72/1.08 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.72/1.08 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.08 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.08 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.08 , Y ) ],
% 0.72/1.08 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.08 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.72/1.08 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.72/1.08 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.72/1.08 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.72/1.08 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.72/1.08 compose( Z, X ), Y ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.08 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.72/1.08 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.72/1.08 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.72/1.08 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.08 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.08 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.72/1.08 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.72/1.08 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.72/1.08 'domain_of'( X ), Y ) ],
% 0.72/1.08 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.72/1.08 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.72/1.08 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.72/1.08 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.72/1.08 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.72/1.08 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.72/1.08 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.72/1.08 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.72/1.08 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.72/1.08 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.72/1.08 ,
% 0.72/1.08 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.72/1.08 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.08 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.08 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.72/1.08 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.08 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.72/1.08 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.72/1.08 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.72/1.08 'application_function' ) ],
% 0.72/1.08 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.72/1.08 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 6.24/6.65 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 6.24/6.65 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 6.24/6.65 'domain_of'( X ), Y ) ],
% 6.24/6.65 [ subclass( z, x ) ],
% 6.24/6.65 [ subclass( z, y ) ],
% 6.24/6.65 [ ~( subclass( z, intersection( x, y ) ) ) ]
% 6.24/6.65 ] .
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 percentage equality = 0.221719, percentage horn = 0.930435
% 6.24/6.65 This is a problem with some equality
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Options Used:
% 6.24/6.65
% 6.24/6.65 useres = 1
% 6.24/6.65 useparamod = 1
% 6.24/6.65 useeqrefl = 1
% 6.24/6.65 useeqfact = 1
% 6.24/6.65 usefactor = 1
% 6.24/6.65 usesimpsplitting = 0
% 6.24/6.65 usesimpdemod = 5
% 6.24/6.65 usesimpres = 3
% 6.24/6.65
% 6.24/6.65 resimpinuse = 1000
% 6.24/6.65 resimpclauses = 20000
% 6.24/6.65 substype = eqrewr
% 6.24/6.65 backwardsubs = 1
% 6.24/6.65 selectoldest = 5
% 6.24/6.65
% 6.24/6.65 litorderings [0] = split
% 6.24/6.65 litorderings [1] = extend the termordering, first sorting on arguments
% 6.24/6.65
% 6.24/6.65 termordering = kbo
% 6.24/6.65
% 6.24/6.65 litapriori = 0
% 6.24/6.65 termapriori = 1
% 6.24/6.65 litaposteriori = 0
% 6.24/6.65 termaposteriori = 0
% 6.24/6.65 demodaposteriori = 0
% 6.24/6.65 ordereqreflfact = 0
% 6.24/6.65
% 6.24/6.65 litselect = negord
% 6.24/6.65
% 6.24/6.65 maxweight = 15
% 6.24/6.65 maxdepth = 30000
% 6.24/6.65 maxlength = 115
% 6.24/6.65 maxnrvars = 195
% 6.24/6.65 excuselevel = 1
% 6.24/6.65 increasemaxweight = 1
% 6.24/6.65
% 6.24/6.65 maxselected = 10000000
% 6.24/6.65 maxnrclauses = 10000000
% 6.24/6.65
% 6.24/6.65 showgenerated = 0
% 6.24/6.65 showkept = 0
% 6.24/6.65 showselected = 0
% 6.24/6.65 showdeleted = 0
% 6.24/6.65 showresimp = 1
% 6.24/6.65 showstatus = 2000
% 6.24/6.65
% 6.24/6.65 prologoutput = 1
% 6.24/6.65 nrgoals = 5000000
% 6.24/6.65 totalproof = 1
% 6.24/6.65
% 6.24/6.65 Symbols occurring in the translation:
% 6.24/6.65
% 6.24/6.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.24/6.65 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 6.24/6.65 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 6.24/6.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.24/6.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.24/6.65 subclass [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 6.24/6.65 member [43, 2] (w:1, o:91, a:1, s:1, b:0),
% 6.24/6.65 'not_subclass_element' [44, 2] (w:1, o:92, a:1, s:1, b:0),
% 6.24/6.65 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 6.24/6.65 'unordered_pair' [46, 2] (w:1, o:93, a:1, s:1, b:0),
% 6.24/6.65 singleton [47, 1] (w:1, o:44, a:1, s:1, b:0),
% 6.24/6.65 'ordered_pair' [48, 2] (w:1, o:94, a:1, s:1, b:0),
% 6.24/6.65 'cross_product' [50, 2] (w:1, o:95, a:1, s:1, b:0),
% 6.24/6.65 first [52, 1] (w:1, o:45, a:1, s:1, b:0),
% 6.24/6.65 second [53, 1] (w:1, o:46, a:1, s:1, b:0),
% 6.24/6.65 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 6.24/6.65 intersection [55, 2] (w:1, o:97, a:1, s:1, b:0),
% 6.24/6.65 complement [56, 1] (w:1, o:47, a:1, s:1, b:0),
% 6.24/6.65 union [57, 2] (w:1, o:98, a:1, s:1, b:0),
% 6.24/6.65 'symmetric_difference' [58, 2] (w:1, o:99, a:1, s:1, b:0),
% 6.24/6.65 restrict [60, 3] (w:1, o:102, a:1, s:1, b:0),
% 6.24/6.65 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 6.24/6.65 'domain_of' [62, 1] (w:1, o:50, a:1, s:1, b:0),
% 6.24/6.65 rotate [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.24/6.65 flip [65, 1] (w:1, o:51, a:1, s:1, b:0),
% 6.24/6.65 inverse [66, 1] (w:1, o:52, a:1, s:1, b:0),
% 6.24/6.65 'range_of' [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 6.24/6.65 domain [68, 3] (w:1, o:104, a:1, s:1, b:0),
% 6.24/6.65 range [69, 3] (w:1, o:105, a:1, s:1, b:0),
% 6.24/6.65 image [70, 2] (w:1, o:96, a:1, s:1, b:0),
% 6.24/6.65 successor [71, 1] (w:1, o:53, a:1, s:1, b:0),
% 6.24/6.65 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 6.24/6.65 inductive [73, 1] (w:1, o:54, a:1, s:1, b:0),
% 6.24/6.65 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 6.24/6.65 'sum_class' [75, 1] (w:1, o:55, a:1, s:1, b:0),
% 6.24/6.65 'power_class' [76, 1] (w:1, o:58, a:1, s:1, b:0),
% 6.24/6.65 compose [78, 2] (w:1, o:100, a:1, s:1, b:0),
% 6.24/6.65 'single_valued_class' [79, 1] (w:1, o:59, a:1, s:1, b:0),
% 6.24/6.65 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 6.24/6.65 function [82, 1] (w:1, o:60, a:1, s:1, b:0),
% 6.24/6.65 regular [83, 1] (w:1, o:43, a:1, s:1, b:0),
% 6.24/6.65 apply [84, 2] (w:1, o:101, a:1, s:1, b:0),
% 6.24/6.65 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 6.24/6.65 'one_to_one' [86, 1] (w:1, o:56, a:1, s:1, b:0),
% 6.24/6.65 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 6.24/6.65 diagonalise [88, 1] (w:1, o:61, a:1, s:1, b:0),
% 6.24/6.65 cantor [89, 1] (w:1, o:48, a:1, s:1, b:0),
% 6.24/6.65 operation [90, 1] (w:1, o:57, a:1, s:1, b:0),
% 6.24/6.65 compatible [94, 3] (w:1, o:103, a:1, s:1, b:0),
% 6.24/6.65 homomorphism [95, 3] (w:1, o:106, a:1, s:1, b:0),
% 6.24/6.65 'not_homomorphism1' [96, 3] (w:1, o:108, a:1, s:1, b:0),
% 6.24/6.65 'not_homomorphism2' [97, 3] (w:1, o:109, a:1, s:1, b:0),
% 6.24/6.65 'compose_class' [98, 1] (w:1, o:49, a:1, s:1, b:0),
% 6.24/6.65 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 6.24/6.65 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 6.24/6.65 'single_valued1' [101, 1] (w:1, o:62, a:1, s:1, b:0),
% 6.24/6.65 'single_valued2' [102, 1] (w:1, o:63, a:1, s:1, b:0),
% 6.24/6.65 'single_valued3' [103, 1] (w:1, o:64, a:1, s:1, b:0),
% 6.24/6.65 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.24/6.65 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 6.24/6.65 maps [106, 3] (w:1, o:107, a:1, s:1, b:0),
% 6.24/6.65 z [107, 0] (w:1, o:34, a:1, s:1, b:0),
% 6.24/6.65 x [108, 0] (w:1, o:35, a:1, s:1, b:0),
% 6.24/6.65 y [109, 0] (w:1, o:33, a:1, s:1, b:0).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Starting Search:
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 4890
% 6.24/6.65 Kept: 2006
% 6.24/6.65 Inuse: 109
% 6.24/6.65 Deleted: 8
% 6.24/6.65 Deletedinuse: 2
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 10055
% 6.24/6.65 Kept: 4203
% 6.24/6.65 Inuse: 184
% 6.24/6.65 Deleted: 28
% 6.24/6.65 Deletedinuse: 11
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 14011
% 6.24/6.65 Kept: 6223
% 6.24/6.65 Inuse: 238
% 6.24/6.65 Deleted: 33
% 6.24/6.65 Deletedinuse: 13
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 18959
% 6.24/6.65 Kept: 8234
% 6.24/6.65 Inuse: 290
% 6.24/6.65 Deleted: 58
% 6.24/6.65 Deletedinuse: 35
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 24325
% 6.24/6.65 Kept: 10652
% 6.24/6.65 Inuse: 358
% 6.24/6.65 Deleted: 79
% 6.24/6.65 Deletedinuse: 56
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 27882
% 6.24/6.65 Kept: 12665
% 6.24/6.65 Inuse: 386
% 6.24/6.65 Deleted: 84
% 6.24/6.65 Deletedinuse: 61
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 31868
% 6.24/6.65 Kept: 14772
% 6.24/6.65 Inuse: 423
% 6.24/6.65 Deleted: 85
% 6.24/6.65 Deletedinuse: 62
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 36966
% 6.24/6.65 Kept: 18037
% 6.24/6.65 Inuse: 448
% 6.24/6.65 Deleted: 92
% 6.24/6.65 Deletedinuse: 69
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 45141
% 6.24/6.65 Kept: 21032
% 6.24/6.65 Inuse: 458
% 6.24/6.65 Deleted: 95
% 6.24/6.65 Deletedinuse: 72
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying clauses:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 50481
% 6.24/6.65 Kept: 23070
% 6.24/6.65 Inuse: 504
% 6.24/6.65 Deleted: 3124
% 6.24/6.65 Deletedinuse: 72
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 54715
% 6.24/6.65 Kept: 25197
% 6.24/6.65 Inuse: 543
% 6.24/6.65 Deleted: 3124
% 6.24/6.65 Deletedinuse: 72
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 62416
% 6.24/6.65 Kept: 27993
% 6.24/6.65 Inuse: 593
% 6.24/6.65 Deleted: 3126
% 6.24/6.65 Deletedinuse: 74
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 68913
% 6.24/6.65 Kept: 30034
% 6.24/6.65 Inuse: 615
% 6.24/6.65 Deleted: 3126
% 6.24/6.65 Deletedinuse: 74
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 73827
% 6.24/6.65 Kept: 32074
% 6.24/6.65 Inuse: 656
% 6.24/6.65 Deleted: 3126
% 6.24/6.65 Deletedinuse: 74
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 79276
% 6.24/6.65 Kept: 34133
% 6.24/6.65 Inuse: 695
% 6.24/6.65 Deleted: 3126
% 6.24/6.65 Deletedinuse: 74
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 84451
% 6.24/6.65 Kept: 36214
% 6.24/6.65 Inuse: 726
% 6.24/6.65 Deleted: 3126
% 6.24/6.65 Deletedinuse: 74
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 90991
% 6.24/6.65 Kept: 39360
% 6.24/6.65 Inuse: 743
% 6.24/6.65 Deleted: 3128
% 6.24/6.65 Deletedinuse: 76
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Intermediate Status:
% 6.24/6.65 Generated: 95941
% 6.24/6.65 Kept: 41878
% 6.24/6.65 Inuse: 748
% 6.24/6.65 Deleted: 3128
% 6.24/6.65 Deletedinuse: 76
% 6.24/6.65
% 6.24/6.65 Resimplifying inuse:
% 6.24/6.65 Done
% 6.24/6.65
% 6.24/6.65 Resimplifying clauses:
% 6.24/6.65
% 6.24/6.65 Bliksems!, er is een bewijs:
% 6.24/6.65 % SZS status Unsatisfiable
% 6.24/6.65 % SZS output start Refutation
% 6.24/6.65
% 6.24/6.65 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 .
% 6.24/6.65 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 6.24/6.65 ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 21, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.24/6.65 intersection( Y, Z ) ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 111, [ subclass( z, x ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 112, [ subclass( z, y ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 113, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 128, [ ~( member( X, z ) ), member( X, y ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 130, [ ~( member( X, z ) ), member( X, x ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 141, [ ~( member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , intersection( x, y ) ) ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 142, [ member( 'not_subclass_element'( z, intersection( x, y ) ), z
% 6.24/6.65 ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 25246, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), x ) ), ~( member( 'not_subclass_element'( z, intersection( x, y ) ),
% 6.24/6.65 y ) ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 25375, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , y ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 25376, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , x ) ] )
% 6.24/6.65 .
% 6.24/6.65 clause( 41879, [] )
% 6.24/6.65 .
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 % SZS output end Refutation
% 6.24/6.65 found a proof!
% 6.24/6.65
% 6.24/6.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.24/6.65
% 6.24/6.65 initialclauses(
% 6.24/6.65 [ clause( 41881, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 6.24/6.65 ) ] )
% 6.24/6.65 , clause( 41882, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 , clause( 41883, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 6.24/6.65 subclass( X, Y ) ] )
% 6.24/6.65 , clause( 41884, [ subclass( X, 'universal_class' ) ] )
% 6.24/6.65 , clause( 41885, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 6.24/6.65 , clause( 41886, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 6.24/6.65 , clause( 41887, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 6.24/6.65 ] )
% 6.24/6.65 , clause( 41888, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 6.24/6.65 =( X, Z ) ] )
% 6.24/6.65 , clause( 41889, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.24/6.65 'unordered_pair'( X, Y ) ) ] )
% 6.24/6.65 , clause( 41890, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.24/6.65 'unordered_pair'( Y, X ) ) ] )
% 6.24/6.65 , clause( 41891, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41892, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.24/6.65 , clause( 41893, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 6.24/6.65 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 6.24/6.65 , clause( 41894, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.24/6.65 ) ) ), member( X, Z ) ] )
% 6.24/6.65 , clause( 41895, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.24/6.65 ) ) ), member( Y, T ) ] )
% 6.24/6.65 , clause( 41896, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 6.24/6.65 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 6.24/6.65 , clause( 41897, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 6.24/6.65 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 6.24/6.65 , clause( 41898, [ subclass( 'element_relation', 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41899, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 6.24/6.65 ), member( X, Y ) ] )
% 6.24/6.65 , clause( 41900, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 6.24/6.65 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 6.24/6.65 , clause( 41901, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41902, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41903, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.24/6.65 intersection( Y, Z ) ) ] )
% 6.24/6.65 , clause( 41904, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41905, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.24/6.65 complement( Y ) ), member( X, Y ) ] )
% 6.24/6.65 , clause( 41906, [ =( complement( intersection( complement( X ), complement(
% 6.24/6.65 Y ) ) ), union( X, Y ) ) ] )
% 6.24/6.65 , clause( 41907, [ =( intersection( complement( intersection( X, Y ) ),
% 6.24/6.65 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 6.24/6.65 'symmetric_difference'( X, Y ) ) ] )
% 6.24/6.65 , clause( 41908, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 6.24/6.65 X, Y, Z ) ) ] )
% 6.24/6.65 , clause( 41909, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 6.24/6.65 Z, X, Y ) ) ] )
% 6.24/6.65 , clause( 41910, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 6.24/6.65 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 6.24/6.65 , clause( 41911, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 6.24/6.65 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 6.24/6.65 'domain_of'( Y ) ) ] )
% 6.24/6.65 , clause( 41912, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41913, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.24/6.65 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 6.24/6.65 ] )
% 6.24/6.65 , clause( 41914, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.24/6.65 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 6.24/6.65 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 6.24/6.65 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 6.24/6.65 , Y ), rotate( T ) ) ] )
% 6.24/6.65 , clause( 41915, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41916, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.24/6.65 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41917, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.24/6.65 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 6.24/6.65 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 6.24/6.65 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 6.24/6.65 , Z ), flip( T ) ) ] )
% 6.24/6.65 , clause( 41918, [ =( 'domain_of'( flip( 'cross_product'( X,
% 6.24/6.65 'universal_class' ) ) ), inverse( X ) ) ] )
% 6.24/6.65 , clause( 41919, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 6.24/6.65 , clause( 41920, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 6.24/6.65 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 6.24/6.65 , clause( 41921, [ =( second( 'not_subclass_element'( restrict( X,
% 6.24/6.65 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 6.24/6.65 , clause( 41922, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 6.24/6.65 image( X, Y ) ) ] )
% 6.24/6.65 , clause( 41923, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 6.24/6.65 , clause( 41924, [ subclass( 'successor_relation', 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41925, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 6.24/6.65 ) ), =( successor( X ), Y ) ] )
% 6.24/6.65 , clause( 41926, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 6.24/6.65 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 6.24/6.65 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 6.24/6.65 , clause( 41927, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 6.24/6.65 , clause( 41928, [ ~( inductive( X ) ), subclass( image(
% 6.24/6.65 'successor_relation', X ), X ) ] )
% 6.24/6.65 , clause( 41929, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 6.24/6.65 'successor_relation', X ), X ) ), inductive( X ) ] )
% 6.24/6.65 , clause( 41930, [ inductive( omega ) ] )
% 6.24/6.65 , clause( 41931, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 6.24/6.65 , clause( 41932, [ member( omega, 'universal_class' ) ] )
% 6.24/6.65 , clause( 41933, [ =( 'domain_of'( restrict( 'element_relation',
% 6.24/6.65 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 6.24/6.65 , clause( 41934, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 6.24/6.65 X ), 'universal_class' ) ] )
% 6.24/6.65 , clause( 41935, [ =( complement( image( 'element_relation', complement( X
% 6.24/6.65 ) ) ), 'power_class'( X ) ) ] )
% 6.24/6.65 , clause( 41936, [ ~( member( X, 'universal_class' ) ), member(
% 6.24/6.65 'power_class'( X ), 'universal_class' ) ] )
% 6.24/6.65 , clause( 41937, [ subclass( compose( X, Y ), 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41938, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 6.24/6.65 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 6.24/6.65 , clause( 41939, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 6.24/6.65 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 6.24/6.65 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 6.24/6.65 ) ] )
% 6.24/6.65 , clause( 41940, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 6.24/6.65 inverse( X ) ), 'identity_relation' ) ] )
% 6.24/6.65 , clause( 41941, [ ~( subclass( compose( X, inverse( X ) ),
% 6.24/6.65 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 6.24/6.65 , clause( 41942, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41943, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 6.24/6.65 , 'identity_relation' ) ] )
% 6.24/6.65 , clause( 41944, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 6.24/6.65 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 6.24/6.65 'identity_relation' ) ), function( X ) ] )
% 6.24/6.65 , clause( 41945, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 6.24/6.65 , member( image( X, Y ), 'universal_class' ) ] )
% 6.24/6.65 , clause( 41946, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 6.24/6.65 , clause( 41947, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 6.24/6.65 , 'null_class' ) ] )
% 6.24/6.65 , clause( 41948, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 6.24/6.65 Y ) ) ] )
% 6.24/6.65 , clause( 41949, [ function( choice ) ] )
% 6.24/6.65 , clause( 41950, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 6.24/6.65 ), member( apply( choice, X ), X ) ] )
% 6.24/6.65 , clause( 41951, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 6.24/6.65 , clause( 41952, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 6.24/6.65 , clause( 41953, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 6.24/6.65 'one_to_one'( X ) ] )
% 6.24/6.65 , clause( 41954, [ =( intersection( 'cross_product'( 'universal_class',
% 6.24/6.65 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 6.24/6.65 'universal_class' ), complement( compose( complement( 'element_relation'
% 6.24/6.65 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 6.24/6.65 , clause( 41955, [ =( intersection( inverse( 'subset_relation' ),
% 6.24/6.65 'subset_relation' ), 'identity_relation' ) ] )
% 6.24/6.65 , clause( 41956, [ =( complement( 'domain_of'( intersection( X,
% 6.24/6.65 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 6.24/6.65 , clause( 41957, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 6.24/6.65 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 6.24/6.65 , clause( 41958, [ ~( operation( X ) ), function( X ) ] )
% 6.24/6.65 , clause( 41959, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 6.24/6.65 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 6.24/6.65 ] )
% 6.24/6.65 , clause( 41960, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 6.24/6.65 'domain_of'( 'domain_of'( X ) ) ) ] )
% 6.24/6.65 , clause( 41961, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 6.24/6.65 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 6.24/6.65 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 6.24/6.65 operation( X ) ] )
% 6.24/6.65 , clause( 41962, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 6.24/6.65 , clause( 41963, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 6.24/6.65 Y ) ), 'domain_of'( X ) ) ] )
% 6.24/6.65 , clause( 41964, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 6.24/6.65 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 6.24/6.65 , clause( 41965, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 6.24/6.65 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 6.24/6.65 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 6.24/6.65 , clause( 41966, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 6.24/6.65 , clause( 41967, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 6.24/6.65 , clause( 41968, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 6.24/6.65 , clause( 41969, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 6.24/6.65 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 6.24/6.65 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41970, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 6.24/6.65 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 6.24/6.65 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 , clause( 41971, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 6.24/6.65 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 6.24/6.65 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 6.24/6.65 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 6.24/6.65 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41972, [ subclass( 'compose_class'( X ), 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41973, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z )
% 6.24/6.65 ) ), =( compose( Z, X ), Y ) ] )
% 6.24/6.65 , clause( 41974, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 6.24/6.65 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 6.24/6.65 , clause( 41975, [ subclass( 'composition_function', 'cross_product'(
% 6.24/6.65 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 6.24/6.65 ) ) ) ] )
% 6.24/6.65 , clause( 41976, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 6.24/6.65 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 6.24/6.65 , clause( 41977, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 6.24/6.65 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 6.24/6.65 , clause( 41978, [ subclass( 'domain_relation', 'cross_product'(
% 6.24/6.65 'universal_class', 'universal_class' ) ) ] )
% 6.24/6.65 , clause( 41979, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 6.24/6.65 , =( 'domain_of'( X ), Y ) ] )
% 6.24/6.65 , clause( 41980, [ ~( member( X, 'universal_class' ) ), member(
% 6.24/6.65 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 6.24/6.65 , clause( 41981, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 6.24/6.65 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 6.24/6.65 , clause( 41982, [ =( second( 'not_subclass_element'( compose( X, inverse(
% 6.24/6.65 X ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 6.24/6.65 , clause( 41983, [ =( domain( X, image( inverse( X ), singleton(
% 6.24/6.65 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 6.24/6.65 ) ] )
% 6.24/6.65 , clause( 41984, [ =( intersection( complement( compose( 'element_relation'
% 6.24/6.65 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 6.24/6.65 'singleton_relation' ) ] )
% 6.24/6.65 , clause( 41985, [ subclass( 'application_function', 'cross_product'(
% 6.24/6.65 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 6.24/6.65 ) ) ) ] )
% 6.24/6.65 , clause( 41986, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 6.24/6.65 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 6.24/6.65 , clause( 41987, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 6.24/6.65 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 6.24/6.65 , clause( 41988, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 6.24/6.65 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 6.24/6.65 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 6.24/6.65 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 6.24/6.65 'application_function' ) ] )
% 6.24/6.65 , clause( 41989, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 6.24/6.65 , clause( 41990, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 6.24/6.65 , clause( 41991, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41992, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) )
% 6.24/6.65 , maps( X, 'domain_of'( X ), Y ) ] )
% 6.24/6.65 , clause( 41993, [ subclass( z, x ) ] )
% 6.24/6.65 , clause( 41994, [ subclass( z, y ) ] )
% 6.24/6.65 , clause( 41995, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 ] ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 , clause( 41881, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 6.24/6.65 ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.24/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 6.24/6.65 ] )
% 6.24/6.65 , clause( 41882, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.24/6.65 ), ==>( 1, 1 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 , clause( 41883, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 6.24/6.65 subclass( X, Y ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.24/6.65 ), ==>( 1, 1 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 21, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.24/6.65 intersection( Y, Z ) ) ] )
% 6.24/6.65 , clause( 41903, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.24/6.65 intersection( Y, Z ) ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.24/6.65 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 111, [ subclass( z, x ) ] )
% 6.24/6.65 , clause( 41993, [ subclass( z, x ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 112, [ subclass( z, y ) ] )
% 6.24/6.65 , clause( 41994, [ subclass( z, y ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 113, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 , clause( 41995, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42189, [ ~( member( X, z ) ), member( X, y ) ] )
% 6.24/6.65 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 , 0, clause( 112, [ subclass( z, y ) ] )
% 6.24/6.65 , 0, substitution( 0, [ :=( X, z ), :=( Y, y ), :=( Z, X )] ),
% 6.24/6.65 substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 128, [ ~( member( X, z ) ), member( X, y ) ] )
% 6.24/6.65 , clause( 42189, [ ~( member( X, z ) ), member( X, y ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.24/6.65 1 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42190, [ ~( member( X, z ) ), member( X, x ) ] )
% 6.24/6.65 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 6.24/6.65 )
% 6.24/6.65 , 0, clause( 111, [ subclass( z, x ) ] )
% 6.24/6.65 , 0, substitution( 0, [ :=( X, z ), :=( Y, x ), :=( Z, X )] ),
% 6.24/6.65 substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 130, [ ~( member( X, z ) ), member( X, x ) ] )
% 6.24/6.65 , clause( 42190, [ ~( member( X, z ) ), member( X, x ) ] )
% 6.24/6.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.24/6.65 1 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42191, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), intersection( x, y ) ) ) ] )
% 6.24/6.65 , clause( 113, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 , 0, clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 6.24/6.65 subclass( X, Y ) ] )
% 6.24/6.65 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z ), :=( Y,
% 6.24/6.65 intersection( x, y ) )] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 141, [ ~( member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , intersection( x, y ) ) ) ] )
% 6.24/6.65 , clause( 42191, [ ~( member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), intersection( x, y ) ) ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42192, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , z ) ] )
% 6.24/6.65 , clause( 113, [ ~( subclass( z, intersection( x, y ) ) ) ] )
% 6.24/6.65 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 6.24/6.65 , Y ) ] )
% 6.24/6.65 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, z ), :=( Y,
% 6.24/6.65 intersection( x, y ) )] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 142, [ member( 'not_subclass_element'( z, intersection( x, y ) ), z
% 6.24/6.65 ) ] )
% 6.24/6.65 , clause( 42192, [ member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), z ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42193, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), x ) ), ~( member( 'not_subclass_element'( z, intersection( x, y ) ),
% 6.24/6.65 y ) ) ] )
% 6.24/6.65 , clause( 141, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), intersection( x, y ) ) ) ] )
% 6.24/6.65 , 0, clause( 21, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.24/6.65 intersection( Y, Z ) ) ] )
% 6.24/6.65 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 6.24/6.65 'not_subclass_element'( z, intersection( x, y ) ) ), :=( Y, x ), :=( Z, y
% 6.24/6.65 )] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 25246, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), x ) ), ~( member( 'not_subclass_element'( z, intersection( x, y ) ),
% 6.24/6.65 y ) ) ] )
% 6.24/6.65 , clause( 42193, [ ~( member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), x ) ), ~( member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , y ) ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 6.24/6.65 ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42194, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , y ) ] )
% 6.24/6.65 , clause( 128, [ ~( member( X, z ) ), member( X, y ) ] )
% 6.24/6.65 , 0, clause( 142, [ member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), z ) ] )
% 6.24/6.65 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( z, intersection( x,
% 6.24/6.65 y ) ) )] ), substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 25375, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , y ) ] )
% 6.24/6.65 , clause( 42194, [ member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), y ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42195, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , x ) ] )
% 6.24/6.65 , clause( 130, [ ~( member( X, z ) ), member( X, x ) ] )
% 6.24/6.65 , 0, clause( 142, [ member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), z ) ] )
% 6.24/6.65 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( z, intersection( x,
% 6.24/6.65 y ) ) )] ), substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 25376, [ member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , x ) ] )
% 6.24/6.65 , clause( 42195, [ member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), x ) ] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42196, [ ~( member( 'not_subclass_element'( z, intersection( x, y )
% 6.24/6.65 ), y ) ) ] )
% 6.24/6.65 , clause( 25246, [ ~( member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), x ) ), ~( member( 'not_subclass_element'( z, intersection( x, y ) )
% 6.24/6.65 , y ) ) ] )
% 6.24/6.65 , 0, clause( 25376, [ member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), x ) ] )
% 6.24/6.65 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 resolution(
% 6.24/6.65 clause( 42197, [] )
% 6.24/6.65 , clause( 42196, [ ~( member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), y ) ) ] )
% 6.24/6.65 , 0, clause( 25375, [ member( 'not_subclass_element'( z, intersection( x, y
% 6.24/6.65 ) ), y ) ] )
% 6.24/6.65 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 subsumption(
% 6.24/6.65 clause( 41879, [] )
% 6.24/6.65 , clause( 42197, [] )
% 6.24/6.65 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 end.
% 6.24/6.65
% 6.24/6.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.24/6.65
% 6.24/6.65 Memory use:
% 6.24/6.65
% 6.24/6.65 space for terms: 609216
% 6.24/6.65 space for clauses: 1882881
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 clauses generated: 95945
% 6.24/6.65 clauses kept: 41880
% 6.24/6.65 clauses selected: 748
% 6.24/6.65 clauses deleted: 3409
% 6.24/6.65 clauses inuse deleted: 76
% 6.24/6.65
% 6.24/6.65 subsentry: 352842
% 6.24/6.65 literals s-matched: 257769
% 6.24/6.65 literals matched: 253177
% 6.24/6.65 full subsumption: 106571
% 6.24/6.65
% 6.24/6.65 checksum: -1171320512
% 6.24/6.65
% 6.24/6.65
% 6.24/6.65 Bliksem ended
%------------------------------------------------------------------------------