TSTP Solution File: SET235-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:48:19 EDT 2022
% Result : Unsatisfiable 2.96s 3.35s
% Output : Refutation 2.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 11 02:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.13 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.73/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ subclass( X, 'universal_class' ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.73/1.13 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.73/1.13 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.73/1.13 ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.73/1.13 ) ) ],
% 0.73/1.13 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.73/1.13 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.73/1.13 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.73/1.13 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 X, Z ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 Y, T ) ],
% 0.73/1.13 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.73/1.13 ), 'cross_product'( Y, T ) ) ],
% 0.73/1.13 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.73/1.13 ), second( X ) ), X ) ],
% 0.73/1.13 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.73/1.13 Y ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.13 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.73/1.13 , Y ), 'element_relation' ) ],
% 0.73/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.73/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.73/1.13 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.73/1.13 Z ) ) ],
% 0.73/1.13 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.73/1.13 member( X, Y ) ],
% 0.73/1.13 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.73/1.13 union( X, Y ) ) ],
% 0.73/1.13 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.73/1.13 intersection( complement( X ), complement( Y ) ) ) ),
% 0.73/1.13 'symmetric_difference'( X, Y ) ) ],
% 0.73/1.13 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.73/1.13 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.73/1.13 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.73/1.13 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.73/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.73/1.13 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.73/1.13 Y ), rotate( T ) ) ],
% 0.73/1.13 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.73/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.73/1.13 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.73/1.13 Z ), flip( T ) ) ],
% 0.73/1.13 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.73/1.13 inverse( X ) ) ],
% 0.73/1.13 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.73/1.13 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.73/1.13 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.73/1.13 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.73/1.13 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.73/1.13 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.73/1.13 ],
% 0.73/1.13 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.73/1.13 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.73/1.13 successor( X ), Y ) ],
% 0.73/1.13 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.73/1.13 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.73/1.13 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.73/1.13 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.73/1.13 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.73/1.13 [ inductive( omega ) ],
% 0.73/1.13 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.73/1.13 [ member( omega, 'universal_class' ) ],
% 0.73/1.13 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.73/1.13 , 'sum_class'( X ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.73/1.13 'universal_class' ) ],
% 0.73/1.13 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.73/1.13 'power_class'( X ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.73/1.13 'universal_class' ) ],
% 0.73/1.13 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.73/1.13 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.73/1.13 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.73/1.13 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.73/1.13 , 'identity_relation' ) ],
% 0.73/1.13 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.73/1.13 'single_valued_class'( X ) ],
% 0.73/1.13 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.73/1.13 'identity_relation' ) ],
% 0.73/1.13 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.13 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.73/1.13 , function( X ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.73/1.13 X, Y ), 'universal_class' ) ],
% 0.73/1.13 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.73/1.13 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.73/1.13 ) ],
% 0.73/1.13 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.73/1.13 [ function( choice ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.73/1.13 apply( choice, X ), X ) ],
% 0.73/1.13 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.73/1.13 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.73/1.13 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.13 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.73/1.13 , complement( compose( complement( 'element_relation' ), inverse(
% 0.73/1.13 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.73/1.13 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.73/1.13 'identity_relation' ) ],
% 0.73/1.13 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.73/1.13 , diagonalise( X ) ) ],
% 0.73/1.13 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.73/1.13 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), function( X ) ],
% 0.73/1.13 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.73/1.13 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.13 'domain_of'( X ) ) ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.73/1.13 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.73/1.13 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.73/1.13 X ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.73/1.13 'domain_of'( X ) ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.13 'domain_of'( Z ) ) ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.73/1.13 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.73/1.13 ), compatible( X, Y, Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.73/1.13 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.73/1.13 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.73/1.13 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.73/1.13 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.73/1.13 , Y ) ],
% 0.73/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.73/1.13 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.73/1.13 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.73/1.13 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.73/1.13 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.73/1.13 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.73/1.13 compose( Z, X ), Y ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.13 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.73/1.13 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.73/1.13 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.73/1.13 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.13 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.73/1.13 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.73/1.13 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.73/1.13 'domain_of'( X ), Y ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.73/1.13 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.73/1.13 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.73/1.13 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.73/1.13 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.73/1.13 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.73/1.13 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.73/1.13 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.73/1.13 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.73/1.13 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.73/1.13 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.73/1.13 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.73/1.13 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.73/1.13 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.73/1.13 'application_function' ) ],
% 0.73/1.13 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.73/1.13 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 2.96/3.35 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 2.96/3.35 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 2.96/3.35 'domain_of'( X ), Y ) ],
% 2.96/3.35 [ subclass( x, 'cross_product'( 'universal_class', 'universal_class' ) )
% 2.96/3.35 ],
% 2.96/3.35 [ ~( member( 'ordered_pair'( first( 'not_subclass_element'( x, y ) ),
% 2.96/3.35 second( 'not_subclass_element'( x, y ) ) ), x ) ) ],
% 2.96/3.35 [ ~( subclass( x, y ) ) ]
% 2.96/3.35 ] .
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 percentage equality = 0.221719, percentage horn = 0.930435
% 2.96/3.35 This is a problem with some equality
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Options Used:
% 2.96/3.35
% 2.96/3.35 useres = 1
% 2.96/3.35 useparamod = 1
% 2.96/3.35 useeqrefl = 1
% 2.96/3.35 useeqfact = 1
% 2.96/3.35 usefactor = 1
% 2.96/3.35 usesimpsplitting = 0
% 2.96/3.35 usesimpdemod = 5
% 2.96/3.35 usesimpres = 3
% 2.96/3.35
% 2.96/3.35 resimpinuse = 1000
% 2.96/3.35 resimpclauses = 20000
% 2.96/3.35 substype = eqrewr
% 2.96/3.35 backwardsubs = 1
% 2.96/3.35 selectoldest = 5
% 2.96/3.35
% 2.96/3.35 litorderings [0] = split
% 2.96/3.35 litorderings [1] = extend the termordering, first sorting on arguments
% 2.96/3.35
% 2.96/3.35 termordering = kbo
% 2.96/3.35
% 2.96/3.35 litapriori = 0
% 2.96/3.35 termapriori = 1
% 2.96/3.35 litaposteriori = 0
% 2.96/3.35 termaposteriori = 0
% 2.96/3.35 demodaposteriori = 0
% 2.96/3.35 ordereqreflfact = 0
% 2.96/3.35
% 2.96/3.35 litselect = negord
% 2.96/3.35
% 2.96/3.35 maxweight = 15
% 2.96/3.35 maxdepth = 30000
% 2.96/3.35 maxlength = 115
% 2.96/3.35 maxnrvars = 195
% 2.96/3.35 excuselevel = 1
% 2.96/3.35 increasemaxweight = 1
% 2.96/3.35
% 2.96/3.35 maxselected = 10000000
% 2.96/3.35 maxnrclauses = 10000000
% 2.96/3.35
% 2.96/3.35 showgenerated = 0
% 2.96/3.35 showkept = 0
% 2.96/3.35 showselected = 0
% 2.96/3.35 showdeleted = 0
% 2.96/3.35 showresimp = 1
% 2.96/3.35 showstatus = 2000
% 2.96/3.35
% 2.96/3.35 prologoutput = 1
% 2.96/3.35 nrgoals = 5000000
% 2.96/3.35 totalproof = 1
% 2.96/3.35
% 2.96/3.35 Symbols occurring in the translation:
% 2.96/3.35
% 2.96/3.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.96/3.35 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 2.96/3.35 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 2.96/3.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.96/3.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.96/3.35 subclass [41, 2] (w:1, o:89, a:1, s:1, b:0),
% 2.96/3.35 member [43, 2] (w:1, o:90, a:1, s:1, b:0),
% 2.96/3.35 'not_subclass_element' [44, 2] (w:1, o:91, a:1, s:1, b:0),
% 2.96/3.35 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.96/3.35 'unordered_pair' [46, 2] (w:1, o:92, a:1, s:1, b:0),
% 2.96/3.35 singleton [47, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.96/3.35 'ordered_pair' [48, 2] (w:1, o:93, a:1, s:1, b:0),
% 2.96/3.35 'cross_product' [50, 2] (w:1, o:94, a:1, s:1, b:0),
% 2.96/3.35 first [52, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.96/3.35 second [53, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.96/3.35 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 2.96/3.35 intersection [55, 2] (w:1, o:96, a:1, s:1, b:0),
% 2.96/3.35 complement [56, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.96/3.35 union [57, 2] (w:1, o:97, a:1, s:1, b:0),
% 2.96/3.35 'symmetric_difference' [58, 2] (w:1, o:98, a:1, s:1, b:0),
% 2.96/3.35 restrict [60, 3] (w:1, o:101, a:1, s:1, b:0),
% 2.96/3.35 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.96/3.35 'domain_of' [62, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.96/3.35 rotate [63, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.96/3.35 flip [65, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.96/3.35 inverse [66, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.96/3.35 'range_of' [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.96/3.35 domain [68, 3] (w:1, o:103, a:1, s:1, b:0),
% 2.96/3.35 range [69, 3] (w:1, o:104, a:1, s:1, b:0),
% 2.96/3.35 image [70, 2] (w:1, o:95, a:1, s:1, b:0),
% 2.96/3.35 successor [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.96/3.35 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.96/3.35 inductive [73, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.96/3.35 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.96/3.35 'sum_class' [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.96/3.35 'power_class' [76, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.96/3.35 compose [78, 2] (w:1, o:99, a:1, s:1, b:0),
% 2.96/3.35 'single_valued_class' [79, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.96/3.35 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 2.96/3.35 function [82, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.96/3.35 regular [83, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.96/3.35 apply [84, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.96/3.35 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 2.96/3.35 'one_to_one' [86, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.96/3.35 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.96/3.35 diagonalise [88, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.96/3.35 cantor [89, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.96/3.35 operation [90, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.96/3.35 compatible [94, 3] (w:1, o:102, a:1, s:1, b:0),
% 2.96/3.35 homomorphism [95, 3] (w:1, o:105, a:1, s:1, b:0),
% 2.96/3.35 'not_homomorphism1' [96, 3] (w:1, o:107, a:1, s:1, b:0),
% 2.96/3.35 'not_homomorphism2' [97, 3] (w:1, o:108, a:1, s:1, b:0),
% 2.96/3.35 'compose_class' [98, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.96/3.35 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 2.96/3.35 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 2.96/3.35 'single_valued1' [101, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.96/3.35 'single_valued2' [102, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.96/3.35 'single_valued3' [103, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.96/3.35 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.96/3.35 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.96/3.35 maps [106, 3] (w:1, o:106, a:1, s:1, b:0),
% 2.96/3.35 x [107, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.96/3.35 y [108, 0] (w:1, o:34, a:1, s:1, b:0).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Starting Search:
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 4571
% 2.96/3.35 Kept: 2009
% 2.96/3.35 Inuse: 112
% 2.96/3.35 Deleted: 4
% 2.96/3.35 Deletedinuse: 2
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 9234
% 2.96/3.35 Kept: 4010
% 2.96/3.35 Inuse: 187
% 2.96/3.35 Deleted: 14
% 2.96/3.35 Deletedinuse: 5
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 13067
% 2.96/3.35 Kept: 6030
% 2.96/3.35 Inuse: 235
% 2.96/3.35 Deleted: 16
% 2.96/3.35 Deletedinuse: 5
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 18148
% 2.96/3.35 Kept: 8172
% 2.96/3.35 Inuse: 288
% 2.96/3.35 Deleted: 50
% 2.96/3.35 Deletedinuse: 37
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 24174
% 2.96/3.35 Kept: 10799
% 2.96/3.35 Inuse: 366
% 2.96/3.35 Deleted: 80
% 2.96/3.35 Deletedinuse: 65
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 27908
% 2.96/3.35 Kept: 12893
% 2.96/3.35 Inuse: 396
% 2.96/3.35 Deleted: 85
% 2.96/3.35 Deletedinuse: 70
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 31721
% 2.96/3.35 Kept: 14988
% 2.96/3.35 Inuse: 431
% 2.96/3.35 Deleted: 86
% 2.96/3.35 Deletedinuse: 71
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 37739
% 2.96/3.35 Kept: 18507
% 2.96/3.35 Inuse: 461
% 2.96/3.35 Deleted: 86
% 2.96/3.35 Deletedinuse: 71
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying clauses:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 46552
% 2.96/3.35 Kept: 21624
% 2.96/3.35 Inuse: 471
% 2.96/3.35 Deleted: 3165
% 2.96/3.35 Deletedinuse: 72
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Intermediate Status:
% 2.96/3.35 Generated: 51722
% 2.96/3.35 Kept: 23673
% 2.96/3.35 Inuse: 518
% 2.96/3.35 Deleted: 3165
% 2.96/3.35 Deletedinuse: 72
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35 Resimplifying inuse:
% 2.96/3.35 Done
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Bliksems!, er is een bewijs:
% 2.96/3.35 % SZS status Unsatisfiable
% 2.96/3.35 % SZS output start Refutation
% 2.96/3.35
% 2.96/3.35 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 2.96/3.35 )
% 2.96/3.35 .
% 2.96/3.35 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.96/3.35 ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 2.96/3.35 first( X ), second( X ) ), X ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 111, [ subclass( x, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 112, [ ~( member( 'ordered_pair'( first( 'not_subclass_element'( x
% 2.96/3.35 , y ) ), second( 'not_subclass_element'( x, y ) ) ), x ) ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 113, [ ~( subclass( x, y ) ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 133, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 138, [ ~( subclass( x, X ) ), member( 'not_subclass_element'( x, y
% 2.96/3.35 ), X ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 16780, [ ~( member( 'not_subclass_element'( x, y ), 'cross_product'(
% 2.96/3.35 X, Y ) ) ) ] )
% 2.96/3.35 .
% 2.96/3.35 clause( 25354, [] )
% 2.96/3.35 .
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 % SZS output end Refutation
% 2.96/3.35 found a proof!
% 2.96/3.35
% 2.96/3.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.96/3.35
% 2.96/3.35 initialclauses(
% 2.96/3.35 [ clause( 25356, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 2.96/3.35 ) ] )
% 2.96/3.35 , clause( 25357, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.96/3.35 , Y ) ] )
% 2.96/3.35 , clause( 25358, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.96/3.35 subclass( X, Y ) ] )
% 2.96/3.35 , clause( 25359, [ subclass( X, 'universal_class' ) ] )
% 2.96/3.35 , clause( 25360, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 2.96/3.35 , clause( 25361, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 2.96/3.35 , clause( 25362, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 2.96/3.35 ] )
% 2.96/3.35 , clause( 25363, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 2.96/3.35 =( X, Z ) ] )
% 2.96/3.35 , clause( 25364, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.96/3.35 'unordered_pair'( X, Y ) ) ] )
% 2.96/3.35 , clause( 25365, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.96/3.35 'unordered_pair'( Y, X ) ) ] )
% 2.96/3.35 , clause( 25366, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25367, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 2.96/3.35 , clause( 25368, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 2.96/3.35 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 2.96/3.35 , clause( 25369, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.96/3.35 ) ) ), member( X, Z ) ] )
% 2.96/3.35 , clause( 25370, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.96/3.35 ) ) ), member( Y, T ) ] )
% 2.96/3.35 , clause( 25371, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 2.96/3.35 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 2.96/3.35 , clause( 25372, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.96/3.35 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.96/3.35 , clause( 25373, [ subclass( 'element_relation', 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25374, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 2.96/3.35 ), member( X, Y ) ] )
% 2.96/3.35 , clause( 25375, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 2.96/3.35 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 2.96/3.35 , clause( 25376, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25377, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25378, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 2.96/3.35 intersection( Y, Z ) ) ] )
% 2.96/3.35 , clause( 25379, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25380, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.96/3.35 complement( Y ) ), member( X, Y ) ] )
% 2.96/3.35 , clause( 25381, [ =( complement( intersection( complement( X ), complement(
% 2.96/3.35 Y ) ) ), union( X, Y ) ) ] )
% 2.96/3.35 , clause( 25382, [ =( intersection( complement( intersection( X, Y ) ),
% 2.96/3.35 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 2.96/3.35 'symmetric_difference'( X, Y ) ) ] )
% 2.96/3.35 , clause( 25383, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 2.96/3.35 X, Y, Z ) ) ] )
% 2.96/3.35 , clause( 25384, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 2.96/3.35 Z, X, Y ) ) ] )
% 2.96/3.35 , clause( 25385, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 2.96/3.35 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 2.96/3.35 , clause( 25386, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 2.96/3.35 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 2.96/3.35 'domain_of'( Y ) ) ] )
% 2.96/3.35 , clause( 25387, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25388, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.96/3.35 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 2.96/3.35 ] )
% 2.96/3.35 , clause( 25389, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.96/3.35 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 2.96/3.35 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.96/3.35 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 2.96/3.35 , Y ), rotate( T ) ) ] )
% 2.96/3.35 , clause( 25390, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25391, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.96/3.35 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25392, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.96/3.35 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 2.96/3.35 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.96/3.35 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 2.96/3.35 , Z ), flip( T ) ) ] )
% 2.96/3.35 , clause( 25393, [ =( 'domain_of'( flip( 'cross_product'( X,
% 2.96/3.35 'universal_class' ) ) ), inverse( X ) ) ] )
% 2.96/3.35 , clause( 25394, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 2.96/3.35 , clause( 25395, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 2.96/3.35 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 2.96/3.35 , clause( 25396, [ =( second( 'not_subclass_element'( restrict( X,
% 2.96/3.35 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 2.96/3.35 , clause( 25397, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 2.96/3.35 image( X, Y ) ) ] )
% 2.96/3.35 , clause( 25398, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 2.96/3.35 , clause( 25399, [ subclass( 'successor_relation', 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25400, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 2.96/3.35 ) ), =( successor( X ), Y ) ] )
% 2.96/3.35 , clause( 25401, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 2.96/3.35 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 2.96/3.35 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 2.96/3.35 , clause( 25402, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 2.96/3.35 , clause( 25403, [ ~( inductive( X ) ), subclass( image(
% 2.96/3.35 'successor_relation', X ), X ) ] )
% 2.96/3.35 , clause( 25404, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 2.96/3.35 'successor_relation', X ), X ) ), inductive( X ) ] )
% 2.96/3.35 , clause( 25405, [ inductive( omega ) ] )
% 2.96/3.35 , clause( 25406, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 2.96/3.35 , clause( 25407, [ member( omega, 'universal_class' ) ] )
% 2.96/3.35 , clause( 25408, [ =( 'domain_of'( restrict( 'element_relation',
% 2.96/3.35 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 2.96/3.35 , clause( 25409, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 2.96/3.35 X ), 'universal_class' ) ] )
% 2.96/3.35 , clause( 25410, [ =( complement( image( 'element_relation', complement( X
% 2.96/3.35 ) ) ), 'power_class'( X ) ) ] )
% 2.96/3.35 , clause( 25411, [ ~( member( X, 'universal_class' ) ), member(
% 2.96/3.35 'power_class'( X ), 'universal_class' ) ] )
% 2.96/3.35 , clause( 25412, [ subclass( compose( X, Y ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25413, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 2.96/3.35 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 2.96/3.35 , clause( 25414, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 2.96/3.35 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 2.96/3.35 ) ] )
% 2.96/3.35 , clause( 25415, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 2.96/3.35 inverse( X ) ), 'identity_relation' ) ] )
% 2.96/3.35 , clause( 25416, [ ~( subclass( compose( X, inverse( X ) ),
% 2.96/3.35 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 2.96/3.35 , clause( 25417, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25418, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 2.96/3.35 , 'identity_relation' ) ] )
% 2.96/3.35 , clause( 25419, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 2.96/3.35 'identity_relation' ) ), function( X ) ] )
% 2.96/3.35 , clause( 25420, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 2.96/3.35 , member( image( X, Y ), 'universal_class' ) ] )
% 2.96/3.35 , clause( 25421, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 2.96/3.35 , clause( 25422, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 2.96/3.35 , 'null_class' ) ] )
% 2.96/3.35 , clause( 25423, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 2.96/3.35 Y ) ) ] )
% 2.96/3.35 , clause( 25424, [ function( choice ) ] )
% 2.96/3.35 , clause( 25425, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 2.96/3.35 ), member( apply( choice, X ), X ) ] )
% 2.96/3.35 , clause( 25426, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 2.96/3.35 , clause( 25427, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 2.96/3.35 , clause( 25428, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 2.96/3.35 'one_to_one'( X ) ] )
% 2.96/3.35 , clause( 25429, [ =( intersection( 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ), complement( compose( complement( 'element_relation'
% 2.96/3.35 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 2.96/3.35 , clause( 25430, [ =( intersection( inverse( 'subset_relation' ),
% 2.96/3.35 'subset_relation' ), 'identity_relation' ) ] )
% 2.96/3.35 , clause( 25431, [ =( complement( 'domain_of'( intersection( X,
% 2.96/3.35 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 2.96/3.35 , clause( 25432, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 2.96/3.35 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 2.96/3.35 , clause( 25433, [ ~( operation( X ) ), function( X ) ] )
% 2.96/3.35 , clause( 25434, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 2.96/3.35 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 2.96/3.35 ] )
% 2.96/3.35 , clause( 25435, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 2.96/3.35 'domain_of'( 'domain_of'( X ) ) ) ] )
% 2.96/3.35 , clause( 25436, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 2.96/3.35 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 2.96/3.35 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 2.96/3.35 operation( X ) ] )
% 2.96/3.35 , clause( 25437, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 2.96/3.35 , clause( 25438, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 2.96/3.35 Y ) ), 'domain_of'( X ) ) ] )
% 2.96/3.35 , clause( 25439, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 2.96/3.35 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 2.96/3.35 , clause( 25440, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 2.96/3.35 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 2.96/3.35 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 2.96/3.35 , clause( 25441, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 2.96/3.35 , clause( 25442, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 2.96/3.35 , clause( 25443, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 2.96/3.35 , clause( 25444, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 2.96/3.35 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 2.96/3.35 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25445, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.96/3.35 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 2.96/3.35 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 2.96/3.35 , Y ) ] )
% 2.96/3.35 , clause( 25446, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.96/3.35 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 2.96/3.35 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 2.96/3.35 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 2.96/3.35 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25447, [ subclass( 'compose_class'( X ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25448, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z )
% 2.96/3.35 ) ), =( compose( Z, X ), Y ) ] )
% 2.96/3.35 , clause( 25449, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 2.96/3.35 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 2.96/3.35 , clause( 25450, [ subclass( 'composition_function', 'cross_product'(
% 2.96/3.35 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 2.96/3.35 ) ) ) ] )
% 2.96/3.35 , clause( 25451, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.96/3.35 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 2.96/3.35 , clause( 25452, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 2.96/3.35 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 2.96/3.35 , clause( 25453, [ subclass( 'domain_relation', 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25454, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 2.96/3.35 , =( 'domain_of'( X ), Y ) ] )
% 2.96/3.35 , clause( 25455, [ ~( member( X, 'universal_class' ) ), member(
% 2.96/3.35 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 2.96/3.35 , clause( 25456, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 2.96/3.35 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 2.96/3.35 , clause( 25457, [ =( second( 'not_subclass_element'( compose( X, inverse(
% 2.96/3.35 X ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 2.96/3.35 , clause( 25458, [ =( domain( X, image( inverse( X ), singleton(
% 2.96/3.35 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 2.96/3.35 ) ] )
% 2.96/3.35 , clause( 25459, [ =( intersection( complement( compose( 'element_relation'
% 2.96/3.35 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 2.96/3.35 'singleton_relation' ) ] )
% 2.96/3.35 , clause( 25460, [ subclass( 'application_function', 'cross_product'(
% 2.96/3.35 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 2.96/3.35 ) ) ) ] )
% 2.96/3.35 , clause( 25461, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.96/3.35 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 2.96/3.35 , clause( 25462, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.96/3.35 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 2.96/3.35 , clause( 25463, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.96/3.35 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 2.96/3.35 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 2.96/3.35 'application_function' ) ] )
% 2.96/3.35 , clause( 25464, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 2.96/3.35 , clause( 25465, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 2.96/3.35 , clause( 25466, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25467, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) )
% 2.96/3.35 , maps( X, 'domain_of'( X ), Y ) ] )
% 2.96/3.35 , clause( 25468, [ subclass( x, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25469, [ ~( member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.96/3.35 x, y ) ), second( 'not_subclass_element'( x, y ) ) ), x ) ) ] )
% 2.96/3.35 , clause( 25470, [ ~( subclass( x, y ) ) ] )
% 2.96/3.35 ] ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 2.96/3.35 )
% 2.96/3.35 , clause( 25356, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 2.96/3.35 ) ] )
% 2.96/3.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.96/3.35 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.96/3.35 ] )
% 2.96/3.35 , clause( 25357, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.96/3.35 , Y ) ] )
% 2.96/3.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.96/3.35 ), ==>( 1, 1 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 2.96/3.35 first( X ), second( X ) ), X ) ] )
% 2.96/3.35 , clause( 25372, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.96/3.35 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.96/3.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.96/3.35 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 111, [ subclass( x, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 25468, [ subclass( x, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ] )
% 2.96/3.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 112, [ ~( member( 'ordered_pair'( first( 'not_subclass_element'( x
% 2.96/3.35 , y ) ), second( 'not_subclass_element'( x, y ) ) ), x ) ) ] )
% 2.96/3.35 , clause( 25469, [ ~( member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.96/3.35 x, y ) ), second( 'not_subclass_element'( x, y ) ) ), x ) ) ] )
% 2.96/3.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 113, [ ~( subclass( x, y ) ) ] )
% 2.96/3.35 , clause( 25470, [ ~( subclass( x, y ) ) ] )
% 2.96/3.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 resolution(
% 2.96/3.35 clause( 25663, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 , clause( 113, [ ~( subclass( x, y ) ) ] )
% 2.96/3.35 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.96/3.35 , Y ) ] )
% 2.96/3.35 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 2.96/3.35 ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 133, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 , clause( 25663, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 resolution(
% 2.96/3.35 clause( 25664, [ ~( subclass( x, X ) ), member( 'not_subclass_element'( x,
% 2.96/3.35 y ), X ) ] )
% 2.96/3.35 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 2.96/3.35 )
% 2.96/3.35 , 1, clause( 133, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 , 0, substitution( 0, [ :=( X, x ), :=( Y, X ), :=( Z,
% 2.96/3.35 'not_subclass_element'( x, y ) )] ), substitution( 1, [] )).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 138, [ ~( subclass( x, X ) ), member( 'not_subclass_element'( x, y
% 2.96/3.35 ), X ) ] )
% 2.96/3.35 , clause( 25664, [ ~( subclass( x, X ) ), member( 'not_subclass_element'( x
% 2.96/3.35 , y ), X ) ] )
% 2.96/3.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.96/3.35 1 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 paramod(
% 2.96/3.35 clause( 25666, [ ~( member( 'not_subclass_element'( x, y ), x ) ), ~(
% 2.96/3.35 member( 'not_subclass_element'( x, y ), 'cross_product'( X, Y ) ) ) ] )
% 2.96/3.35 , clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.96/3.35 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.96/3.35 , 1, clause( 112, [ ~( member( 'ordered_pair'( first(
% 2.96/3.35 'not_subclass_element'( x, y ) ), second( 'not_subclass_element'( x, y )
% 2.96/3.35 ) ), x ) ) ] )
% 2.96/3.35 , 0, 2, substitution( 0, [ :=( X, 'not_subclass_element'( x, y ) ), :=( Y,
% 2.96/3.35 X ), :=( Z, Y )] ), substitution( 1, [] )).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 resolution(
% 2.96/3.35 clause( 25667, [ ~( member( 'not_subclass_element'( x, y ), 'cross_product'(
% 2.96/3.35 X, Y ) ) ) ] )
% 2.96/3.35 , clause( 25666, [ ~( member( 'not_subclass_element'( x, y ), x ) ), ~(
% 2.96/3.35 member( 'not_subclass_element'( x, y ), 'cross_product'( X, Y ) ) ) ] )
% 2.96/3.35 , 0, clause( 133, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 2.96/3.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 2.96/3.35 ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 16780, [ ~( member( 'not_subclass_element'( x, y ), 'cross_product'(
% 2.96/3.35 X, Y ) ) ) ] )
% 2.96/3.35 , clause( 25667, [ ~( member( 'not_subclass_element'( x, y ),
% 2.96/3.35 'cross_product'( X, Y ) ) ) ] )
% 2.96/3.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.96/3.35 )] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 resolution(
% 2.96/3.35 clause( 25668, [ member( 'not_subclass_element'( x, y ), 'cross_product'(
% 2.96/3.35 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , clause( 138, [ ~( subclass( x, X ) ), member( 'not_subclass_element'( x,
% 2.96/3.35 y ), X ) ] )
% 2.96/3.35 , 0, clause( 111, [ subclass( x, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) ) ] )
% 2.96/3.35 , 0, substitution( 0, [ :=( X, 'cross_product'( 'universal_class',
% 2.96/3.35 'universal_class' ) )] ), substitution( 1, [] )).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 resolution(
% 2.96/3.35 clause( 25669, [] )
% 2.96/3.35 , clause( 16780, [ ~( member( 'not_subclass_element'( x, y ),
% 2.96/3.35 'cross_product'( X, Y ) ) ) ] )
% 2.96/3.35 , 0, clause( 25668, [ member( 'not_subclass_element'( x, y ),
% 2.96/3.35 'cross_product'( 'universal_class', 'universal_class' ) ) ] )
% 2.96/3.35 , 0, substitution( 0, [ :=( X, 'universal_class' ), :=( Y,
% 2.96/3.35 'universal_class' )] ), substitution( 1, [] )).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 subsumption(
% 2.96/3.35 clause( 25354, [] )
% 2.96/3.35 , clause( 25669, [] )
% 2.96/3.35 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 end.
% 2.96/3.35
% 2.96/3.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.96/3.35
% 2.96/3.35 Memory use:
% 2.96/3.35
% 2.96/3.35 space for terms: 380544
% 2.96/3.35 space for clauses: 1180303
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 clauses generated: 55156
% 2.96/3.35 clauses kept: 25355
% 2.96/3.35 clauses selected: 551
% 2.96/3.35 clauses deleted: 3165
% 2.96/3.35 clauses inuse deleted: 72
% 2.96/3.35
% 2.96/3.35 subsentry: 176620
% 2.96/3.35 literals s-matched: 130073
% 2.96/3.35 literals matched: 127883
% 2.96/3.35 full subsumption: 55837
% 2.96/3.35
% 2.96/3.35 checksum: -1469016966
% 2.96/3.35
% 2.96/3.35
% 2.96/3.35 Bliksem ended
%------------------------------------------------------------------------------