TSTP Solution File: SET193-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 22:48:01 EDT 2022
% Result : Unsatisfiable 3.15s 3.60s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 07:05:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.68/1.09 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.68/1.09 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ subclass( X, 'universal_class' ) ],
% 0.68/1.09 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.68/1.09 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.68/1.09 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.68/1.09 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.68/1.09 ) ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.68/1.09 ) ) ],
% 0.68/1.09 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.68/1.09 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.68/1.09 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.68/1.09 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.68/1.09 X, Z ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.68/1.09 Y, T ) ],
% 0.68/1.09 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.68/1.09 ), 'cross_product'( Y, T ) ) ],
% 0.68/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.68/1.09 ), second( X ) ), X ) ],
% 0.68/1.09 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.68/1.09 Y ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.68/1.09 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.68/1.09 , Y ), 'element_relation' ) ],
% 0.68/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.68/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.68/1.09 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.68/1.09 Z ) ) ],
% 0.68/1.09 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.68/1.09 member( X, Y ) ],
% 0.68/1.09 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.68/1.09 union( X, Y ) ) ],
% 0.68/1.09 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.68/1.09 intersection( complement( X ), complement( Y ) ) ) ),
% 0.68/1.09 'symmetric_difference'( X, Y ) ) ],
% 0.68/1.09 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.68/1.09 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.68/1.09 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.68/1.09 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.68/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.68/1.09 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.68/1.09 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.68/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.68/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.68/1.09 Y ), rotate( T ) ) ],
% 0.68/1.09 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.68/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.68/1.09 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.68/1.09 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.68/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.68/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.68/1.09 Z ), flip( T ) ) ],
% 0.68/1.09 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.68/1.09 inverse( X ) ) ],
% 0.68/1.09 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.68/1.09 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.68/1.09 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.68/1.09 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.68/1.09 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.68/1.09 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.68/1.09 ],
% 0.68/1.09 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.68/1.09 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.68/1.09 successor( X ), Y ) ],
% 0.68/1.09 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.68/1.09 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.68/1.09 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.68/1.09 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.68/1.09 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.68/1.09 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.68/1.09 [ inductive( omega ) ],
% 0.68/1.09 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.68/1.09 [ member( omega, 'universal_class' ) ],
% 0.68/1.09 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.68/1.09 , 'sum_class'( X ) ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.68/1.09 'universal_class' ) ],
% 0.68/1.09 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.68/1.09 'power_class'( X ) ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.68/1.09 'universal_class' ) ],
% 0.68/1.09 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.68/1.09 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.68/1.09 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.68/1.09 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.68/1.09 ) ],
% 0.68/1.09 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.68/1.09 , 'identity_relation' ) ],
% 0.68/1.09 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.68/1.09 'single_valued_class'( X ) ],
% 0.68/1.09 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.68/1.09 'identity_relation' ) ],
% 0.68/1.09 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.09 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.68/1.09 , function( X ) ],
% 0.68/1.09 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.68/1.09 X, Y ), 'universal_class' ) ],
% 0.68/1.09 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.68/1.09 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.68/1.09 ) ],
% 0.68/1.09 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.68/1.09 [ function( choice ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.68/1.09 apply( choice, X ), X ) ],
% 0.68/1.09 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.68/1.09 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.68/1.09 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.09 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.68/1.09 , complement( compose( complement( 'element_relation' ), inverse(
% 0.68/1.09 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.68/1.09 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.68/1.09 'identity_relation' ) ],
% 0.68/1.09 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.68/1.09 , diagonalise( X ) ) ],
% 0.68/1.09 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.68/1.09 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.68/1.09 [ ~( operation( X ) ), function( X ) ],
% 0.68/1.09 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.68/1.09 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.68/1.09 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.68/1.09 'domain_of'( X ) ) ) ],
% 0.68/1.09 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.68/1.09 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.68/1.09 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.68/1.09 X ) ],
% 0.68/1.09 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.68/1.09 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.68/1.09 'domain_of'( X ) ) ],
% 0.68/1.09 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.68/1.09 'domain_of'( Z ) ) ) ],
% 0.68/1.09 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.68/1.09 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.68/1.09 ), compatible( X, Y, Z ) ],
% 0.68/1.09 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.68/1.09 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.68/1.09 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.68/1.09 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.68/1.09 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.68/1.09 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.68/1.09 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.68/1.09 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.68/1.09 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.68/1.09 , Y ) ],
% 0.68/1.09 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.68/1.09 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.68/1.09 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.68/1.09 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.68/1.09 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.68/1.09 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.68/1.09 compose( Z, X ), Y ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.68/1.09 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.68/1.09 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.68/1.09 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.68/1.09 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.68/1.09 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.68/1.09 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.68/1.09 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.68/1.09 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.68/1.09 'domain_of'( X ), Y ) ],
% 0.68/1.09 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.68/1.09 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.68/1.09 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.68/1.09 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.68/1.09 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.68/1.09 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.68/1.09 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.68/1.09 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.68/1.09 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.68/1.09 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.68/1.09 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.68/1.09 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.68/1.09 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.68/1.09 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.68/1.09 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.68/1.09 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.68/1.09 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.68/1.09 'application_function' ) ],
% 0.68/1.09 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.68/1.09 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 3.15/3.60 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 3.15/3.60 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 3.15/3.60 'domain_of'( X ), Y ) ],
% 3.15/3.60 [ subclass( complement( y ), complement( x ) ) ],
% 3.15/3.60 [ ~( subclass( x, y ) ) ]
% 3.15/3.60 ] .
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 percentage equality = 0.222727, percentage horn = 0.929825
% 3.15/3.60 This is a problem with some equality
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Options Used:
% 3.15/3.60
% 3.15/3.60 useres = 1
% 3.15/3.60 useparamod = 1
% 3.15/3.60 useeqrefl = 1
% 3.15/3.60 useeqfact = 1
% 3.15/3.60 usefactor = 1
% 3.15/3.60 usesimpsplitting = 0
% 3.15/3.60 usesimpdemod = 5
% 3.15/3.60 usesimpres = 3
% 3.15/3.60
% 3.15/3.60 resimpinuse = 1000
% 3.15/3.60 resimpclauses = 20000
% 3.15/3.60 substype = eqrewr
% 3.15/3.60 backwardsubs = 1
% 3.15/3.60 selectoldest = 5
% 3.15/3.60
% 3.15/3.60 litorderings [0] = split
% 3.15/3.60 litorderings [1] = extend the termordering, first sorting on arguments
% 3.15/3.60
% 3.15/3.60 termordering = kbo
% 3.15/3.60
% 3.15/3.60 litapriori = 0
% 3.15/3.60 termapriori = 1
% 3.15/3.60 litaposteriori = 0
% 3.15/3.60 termaposteriori = 0
% 3.15/3.60 demodaposteriori = 0
% 3.15/3.60 ordereqreflfact = 0
% 3.15/3.60
% 3.15/3.60 litselect = negord
% 3.15/3.60
% 3.15/3.60 maxweight = 15
% 3.15/3.60 maxdepth = 30000
% 3.15/3.60 maxlength = 115
% 3.15/3.60 maxnrvars = 195
% 3.15/3.60 excuselevel = 1
% 3.15/3.60 increasemaxweight = 1
% 3.15/3.60
% 3.15/3.60 maxselected = 10000000
% 3.15/3.60 maxnrclauses = 10000000
% 3.15/3.60
% 3.15/3.60 showgenerated = 0
% 3.15/3.60 showkept = 0
% 3.15/3.60 showselected = 0
% 3.15/3.60 showdeleted = 0
% 3.15/3.60 showresimp = 1
% 3.15/3.60 showstatus = 2000
% 3.15/3.60
% 3.15/3.60 prologoutput = 1
% 3.15/3.60 nrgoals = 5000000
% 3.15/3.60 totalproof = 1
% 3.15/3.60
% 3.15/3.60 Symbols occurring in the translation:
% 3.15/3.60
% 3.15/3.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.15/3.60 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 3.15/3.60 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 3.15/3.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 subclass [41, 2] (w:1, o:89, a:1, s:1, b:0),
% 3.15/3.60 member [43, 2] (w:1, o:90, a:1, s:1, b:0),
% 3.15/3.60 'not_subclass_element' [44, 2] (w:1, o:91, a:1, s:1, b:0),
% 3.15/3.60 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 3.15/3.60 'unordered_pair' [46, 2] (w:1, o:92, a:1, s:1, b:0),
% 3.15/3.60 singleton [47, 1] (w:1, o:43, a:1, s:1, b:0),
% 3.15/3.60 'ordered_pair' [48, 2] (w:1, o:93, a:1, s:1, b:0),
% 3.15/3.60 'cross_product' [50, 2] (w:1, o:94, a:1, s:1, b:0),
% 3.15/3.60 first [52, 1] (w:1, o:44, a:1, s:1, b:0),
% 3.15/3.60 second [53, 1] (w:1, o:45, a:1, s:1, b:0),
% 3.15/3.60 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 3.15/3.60 intersection [55, 2] (w:1, o:96, a:1, s:1, b:0),
% 3.15/3.60 complement [56, 1] (w:1, o:46, a:1, s:1, b:0),
% 3.15/3.60 union [57, 2] (w:1, o:97, a:1, s:1, b:0),
% 3.15/3.60 'symmetric_difference' [58, 2] (w:1, o:98, a:1, s:1, b:0),
% 3.15/3.60 restrict [60, 3] (w:1, o:101, a:1, s:1, b:0),
% 3.15/3.60 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 3.15/3.60 'domain_of' [62, 1] (w:1, o:49, a:1, s:1, b:0),
% 3.15/3.60 rotate [63, 1] (w:1, o:40, a:1, s:1, b:0),
% 3.15/3.60 flip [65, 1] (w:1, o:50, a:1, s:1, b:0),
% 3.15/3.60 inverse [66, 1] (w:1, o:51, a:1, s:1, b:0),
% 3.15/3.60 'range_of' [67, 1] (w:1, o:41, a:1, s:1, b:0),
% 3.15/3.60 domain [68, 3] (w:1, o:103, a:1, s:1, b:0),
% 3.15/3.60 range [69, 3] (w:1, o:104, a:1, s:1, b:0),
% 3.15/3.60 image [70, 2] (w:1, o:95, a:1, s:1, b:0),
% 3.15/3.60 successor [71, 1] (w:1, o:52, a:1, s:1, b:0),
% 3.15/3.60 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 3.15/3.60 inductive [73, 1] (w:1, o:53, a:1, s:1, b:0),
% 3.15/3.60 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.15/3.60 'sum_class' [75, 1] (w:1, o:54, a:1, s:1, b:0),
% 3.15/3.60 'power_class' [76, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.15/3.60 compose [78, 2] (w:1, o:99, a:1, s:1, b:0),
% 3.15/3.60 'single_valued_class' [79, 1] (w:1, o:58, a:1, s:1, b:0),
% 3.15/3.60 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 3.15/3.60 function [82, 1] (w:1, o:59, a:1, s:1, b:0),
% 3.15/3.60 regular [83, 1] (w:1, o:42, a:1, s:1, b:0),
% 3.15/3.60 apply [84, 2] (w:1, o:100, a:1, s:1, b:0),
% 3.15/3.60 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 3.15/3.60 'one_to_one' [86, 1] (w:1, o:55, a:1, s:1, b:0),
% 3.15/3.60 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 3.15/3.60 diagonalise [88, 1] (w:1, o:60, a:1, s:1, b:0),
% 3.15/3.60 cantor [89, 1] (w:1, o:47, a:1, s:1, b:0),
% 3.15/3.60 operation [90, 1] (w:1, o:56, a:1, s:1, b:0),
% 3.15/3.60 compatible [94, 3] (w:1, o:102, a:1, s:1, b:0),
% 3.15/3.60 homomorphism [95, 3] (w:1, o:105, a:1, s:1, b:0),
% 3.15/3.60 'not_homomorphism1' [96, 3] (w:1, o:107, a:1, s:1, b:0),
% 3.15/3.60 'not_homomorphism2' [97, 3] (w:1, o:108, a:1, s:1, b:0),
% 3.15/3.60 'compose_class' [98, 1] (w:1, o:48, a:1, s:1, b:0),
% 3.15/3.60 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 3.15/3.60 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 3.15/3.60 'single_valued1' [101, 1] (w:1, o:61, a:1, s:1, b:0),
% 3.15/3.60 'single_valued2' [102, 1] (w:1, o:62, a:1, s:1, b:0),
% 3.15/3.60 'single_valued3' [103, 1] (w:1, o:63, a:1, s:1, b:0),
% 3.15/3.60 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.15/3.60 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 3.15/3.60 maps [106, 3] (w:1, o:106, a:1, s:1, b:0),
% 3.15/3.60 y [107, 0] (w:1, o:34, a:1, s:1, b:0),
% 3.15/3.60 x [108, 0] (w:1, o:33, a:1, s:1, b:0).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Starting Search:
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 4585
% 3.15/3.60 Kept: 2019
% 3.15/3.60 Inuse: 112
% 3.15/3.60 Deleted: 4
% 3.15/3.60 Deletedinuse: 2
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 9288
% 3.15/3.60 Kept: 4046
% 3.15/3.60 Inuse: 188
% 3.15/3.60 Deleted: 14
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 13067
% 3.15/3.60 Kept: 6046
% 3.15/3.60 Inuse: 235
% 3.15/3.60 Deleted: 16
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 18074
% 3.15/3.60 Kept: 8224
% 3.15/3.60 Inuse: 288
% 3.15/3.60 Deleted: 63
% 3.15/3.60 Deletedinuse: 50
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 24145
% 3.15/3.60 Kept: 10847
% 3.15/3.60 Inuse: 366
% 3.15/3.60 Deleted: 82
% 3.15/3.60 Deletedinuse: 67
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 27882
% 3.15/3.60 Kept: 12933
% 3.15/3.60 Inuse: 396
% 3.15/3.60 Deleted: 87
% 3.15/3.60 Deletedinuse: 72
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 31638
% 3.15/3.60 Kept: 14941
% 3.15/3.60 Inuse: 431
% 3.15/3.60 Deleted: 88
% 3.15/3.60 Deletedinuse: 73
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 37072
% 3.15/3.60 Kept: 18267
% 3.15/3.60 Inuse: 456
% 3.15/3.60 Deleted: 88
% 3.15/3.60 Deletedinuse: 73
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 45464
% 3.15/3.60 Kept: 21274
% 3.15/3.60 Inuse: 466
% 3.15/3.60 Deleted: 89
% 3.15/3.60 Deletedinuse: 74
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying clauses:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 50726
% 3.15/3.60 Kept: 23274
% 3.15/3.60 Inuse: 511
% 3.15/3.60 Deleted: 3205
% 3.15/3.60 Deletedinuse: 74
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 54905
% 3.15/3.60 Kept: 25332
% 3.15/3.60 Inuse: 551
% 3.15/3.60 Deleted: 3205
% 3.15/3.60 Deletedinuse: 74
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Bliksems!, er is een bewijs:
% 3.15/3.60 % SZS status Unsatisfiable
% 3.15/3.60 % SZS output start Refutation
% 3.15/3.60
% 3.15/3.60 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 .
% 3.15/3.60 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 3.15/3.60 ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 23, [ ~( member( X, 'universal_class' ) ), member( X, complement( Y
% 3.15/3.60 ) ), member( X, Y ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 111, [ subclass( complement( y ), complement( x ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 112, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 132, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 140, [ ~( member( 'not_subclass_element'( x, y ), y ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 142, [ ~( member( X, complement( y ) ) ), member( X, complement( x
% 3.15/3.60 ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 578, [ member( 'not_subclass_element'( x, y ), 'universal_class' )
% 3.15/3.60 ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 1730, [ ~( member( 'not_subclass_element'( x, y ), complement( x )
% 3.15/3.60 ) ) ] )
% 3.15/3.60 .
% 3.15/3.60 clause( 1860, [ member( 'not_subclass_element'( x, y ), complement( y ) ) ]
% 3.15/3.60 )
% 3.15/3.60 .
% 3.15/3.60 clause( 25839, [] )
% 3.15/3.60 .
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 % SZS output end Refutation
% 3.15/3.60 found a proof!
% 3.15/3.60
% 3.15/3.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.15/3.60
% 3.15/3.60 initialclauses(
% 3.15/3.60 [ clause( 25841, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 3.15/3.60 ) ] )
% 3.15/3.60 , clause( 25842, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 , clause( 25843, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 3.15/3.60 subclass( X, Y ) ] )
% 3.15/3.60 , clause( 25844, [ subclass( X, 'universal_class' ) ] )
% 3.15/3.60 , clause( 25845, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 3.15/3.60 , clause( 25846, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 3.15/3.60 , clause( 25847, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 25848, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 3.15/3.60 =( X, Z ) ] )
% 3.15/3.60 , clause( 25849, [ ~( member( X, 'universal_class' ) ), member( X,
% 3.15/3.60 'unordered_pair'( X, Y ) ) ] )
% 3.15/3.60 , clause( 25850, [ ~( member( X, 'universal_class' ) ), member( X,
% 3.15/3.60 'unordered_pair'( Y, X ) ) ] )
% 3.15/3.60 , clause( 25851, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25852, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 3.15/3.60 , clause( 25853, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 3.15/3.60 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 3.15/3.60 , clause( 25854, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 3.15/3.60 ) ) ), member( X, Z ) ] )
% 3.15/3.60 , clause( 25855, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 3.15/3.60 ) ) ), member( Y, T ) ] )
% 3.15/3.60 , clause( 25856, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 3.15/3.60 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 3.15/3.60 , clause( 25857, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 3.15/3.60 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 3.15/3.60 , clause( 25858, [ subclass( 'element_relation', 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25859, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 3.15/3.60 ), member( X, Y ) ] )
% 3.15/3.60 , clause( 25860, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 3.15/3.60 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 3.15/3.60 , clause( 25861, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25862, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25863, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 3.15/3.60 intersection( Y, Z ) ) ] )
% 3.15/3.60 , clause( 25864, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25865, [ ~( member( X, 'universal_class' ) ), member( X,
% 3.15/3.60 complement( Y ) ), member( X, Y ) ] )
% 3.15/3.60 , clause( 25866, [ =( complement( intersection( complement( X ), complement(
% 3.15/3.60 Y ) ) ), union( X, Y ) ) ] )
% 3.15/3.60 , clause( 25867, [ =( intersection( complement( intersection( X, Y ) ),
% 3.15/3.60 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 3.15/3.60 'symmetric_difference'( X, Y ) ) ] )
% 3.15/3.60 , clause( 25868, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 3.15/3.60 X, Y, Z ) ) ] )
% 3.15/3.60 , clause( 25869, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 3.15/3.60 Z, X, Y ) ) ] )
% 3.15/3.60 , clause( 25870, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 3.15/3.60 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 3.15/3.60 , clause( 25871, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 3.15/3.60 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 3.15/3.60 'domain_of'( Y ) ) ] )
% 3.15/3.60 , clause( 25872, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25873, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 3.15/3.60 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 25874, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 3.15/3.60 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 3.15/3.60 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 3.15/3.60 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 3.15/3.60 , Y ), rotate( T ) ) ] )
% 3.15/3.60 , clause( 25875, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25876, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 3.15/3.60 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25877, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 3.15/3.60 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 3.15/3.60 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 3.15/3.60 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 3.15/3.60 , Z ), flip( T ) ) ] )
% 3.15/3.60 , clause( 25878, [ =( 'domain_of'( flip( 'cross_product'( X,
% 3.15/3.60 'universal_class' ) ) ), inverse( X ) ) ] )
% 3.15/3.60 , clause( 25879, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 3.15/3.60 , clause( 25880, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 3.15/3.60 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 3.15/3.60 , clause( 25881, [ =( second( 'not_subclass_element'( restrict( X,
% 3.15/3.60 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 3.15/3.60 , clause( 25882, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 3.15/3.60 image( X, Y ) ) ] )
% 3.15/3.60 , clause( 25883, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 3.15/3.60 , clause( 25884, [ subclass( 'successor_relation', 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25885, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 3.15/3.60 ) ), =( successor( X ), Y ) ] )
% 3.15/3.60 , clause( 25886, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 3.15/3.60 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 3.15/3.60 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 3.15/3.60 , clause( 25887, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 3.15/3.60 , clause( 25888, [ ~( inductive( X ) ), subclass( image(
% 3.15/3.60 'successor_relation', X ), X ) ] )
% 3.15/3.60 , clause( 25889, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 3.15/3.60 'successor_relation', X ), X ) ), inductive( X ) ] )
% 3.15/3.60 , clause( 25890, [ inductive( omega ) ] )
% 3.15/3.60 , clause( 25891, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 3.15/3.60 , clause( 25892, [ member( omega, 'universal_class' ) ] )
% 3.15/3.60 , clause( 25893, [ =( 'domain_of'( restrict( 'element_relation',
% 3.15/3.60 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 3.15/3.60 , clause( 25894, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 3.15/3.60 X ), 'universal_class' ) ] )
% 3.15/3.60 , clause( 25895, [ =( complement( image( 'element_relation', complement( X
% 3.15/3.60 ) ) ), 'power_class'( X ) ) ] )
% 3.15/3.60 , clause( 25896, [ ~( member( X, 'universal_class' ) ), member(
% 3.15/3.60 'power_class'( X ), 'universal_class' ) ] )
% 3.15/3.60 , clause( 25897, [ subclass( compose( X, Y ), 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25898, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 3.15/3.60 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 3.15/3.60 , clause( 25899, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 3.15/3.60 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 3.15/3.60 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 3.15/3.60 ) ] )
% 3.15/3.60 , clause( 25900, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 3.15/3.60 inverse( X ) ), 'identity_relation' ) ] )
% 3.15/3.60 , clause( 25901, [ ~( subclass( compose( X, inverse( X ) ),
% 3.15/3.60 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 3.15/3.60 , clause( 25902, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25903, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 3.15/3.60 , 'identity_relation' ) ] )
% 3.15/3.60 , clause( 25904, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 3.15/3.60 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 3.15/3.60 'identity_relation' ) ), function( X ) ] )
% 3.15/3.60 , clause( 25905, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 3.15/3.60 , member( image( X, Y ), 'universal_class' ) ] )
% 3.15/3.60 , clause( 25906, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 3.15/3.60 , clause( 25907, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 3.15/3.60 , 'null_class' ) ] )
% 3.15/3.60 , clause( 25908, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 3.15/3.60 Y ) ) ] )
% 3.15/3.60 , clause( 25909, [ function( choice ) ] )
% 3.15/3.60 , clause( 25910, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 3.15/3.60 ), member( apply( choice, X ), X ) ] )
% 3.15/3.60 , clause( 25911, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 3.15/3.60 , clause( 25912, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 3.15/3.60 , clause( 25913, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 3.15/3.60 'one_to_one'( X ) ] )
% 3.15/3.60 , clause( 25914, [ =( intersection( 'cross_product'( 'universal_class',
% 3.15/3.60 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 3.15/3.60 'universal_class' ), complement( compose( complement( 'element_relation'
% 3.15/3.60 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 3.15/3.60 , clause( 25915, [ =( intersection( inverse( 'subset_relation' ),
% 3.15/3.60 'subset_relation' ), 'identity_relation' ) ] )
% 3.15/3.60 , clause( 25916, [ =( complement( 'domain_of'( intersection( X,
% 3.15/3.60 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 3.15/3.60 , clause( 25917, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 3.15/3.60 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 3.15/3.60 , clause( 25918, [ ~( operation( X ) ), function( X ) ] )
% 3.15/3.60 , clause( 25919, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 3.15/3.60 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 25920, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 3.15/3.60 'domain_of'( 'domain_of'( X ) ) ) ] )
% 3.15/3.60 , clause( 25921, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 3.15/3.60 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 3.15/3.60 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 3.15/3.60 operation( X ) ] )
% 3.15/3.60 , clause( 25922, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 3.15/3.60 , clause( 25923, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 3.15/3.60 Y ) ), 'domain_of'( X ) ) ] )
% 3.15/3.60 , clause( 25924, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 3.15/3.60 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 3.15/3.60 , clause( 25925, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 3.15/3.60 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 3.15/3.60 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 3.15/3.60 , clause( 25926, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 3.15/3.60 , clause( 25927, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 3.15/3.60 , clause( 25928, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 3.15/3.60 , clause( 25929, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 3.15/3.60 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 3.15/3.60 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25930, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 3.15/3.60 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 3.15/3.60 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 , clause( 25931, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 3.15/3.60 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 3.15/3.60 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 3.15/3.60 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 3.15/3.60 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25932, [ subclass( 'compose_class'( X ), 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25933, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z )
% 3.15/3.60 ) ), =( compose( Z, X ), Y ) ] )
% 3.15/3.60 , clause( 25934, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 3.15/3.60 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 3.15/3.60 , clause( 25935, [ subclass( 'composition_function', 'cross_product'(
% 3.15/3.60 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 3.15/3.60 ) ) ) ] )
% 3.15/3.60 , clause( 25936, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 3.15/3.60 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 3.15/3.60 , clause( 25937, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 3.15/3.60 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 3.15/3.60 , clause( 25938, [ subclass( 'domain_relation', 'cross_product'(
% 3.15/3.60 'universal_class', 'universal_class' ) ) ] )
% 3.15/3.60 , clause( 25939, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 3.15/3.60 , =( 'domain_of'( X ), Y ) ] )
% 3.15/3.60 , clause( 25940, [ ~( member( X, 'universal_class' ) ), member(
% 3.15/3.60 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 3.15/3.60 , clause( 25941, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 3.15/3.60 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 3.15/3.60 , clause( 25942, [ =( second( 'not_subclass_element'( compose( X, inverse(
% 3.15/3.60 X ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 3.15/3.60 , clause( 25943, [ =( domain( X, image( inverse( X ), singleton(
% 3.15/3.60 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 3.15/3.60 ) ] )
% 3.15/3.60 , clause( 25944, [ =( intersection( complement( compose( 'element_relation'
% 3.15/3.60 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 3.15/3.60 'singleton_relation' ) ] )
% 3.15/3.60 , clause( 25945, [ subclass( 'application_function', 'cross_product'(
% 3.15/3.60 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 3.15/3.60 ) ) ) ] )
% 3.15/3.60 , clause( 25946, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 3.15/3.60 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 3.15/3.60 , clause( 25947, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 3.15/3.60 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 3.15/3.60 , clause( 25948, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 3.15/3.60 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 3.15/3.60 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 3.15/3.60 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 3.15/3.60 'application_function' ) ] )
% 3.15/3.60 , clause( 25949, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 3.15/3.60 , clause( 25950, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 3.15/3.60 , clause( 25951, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25952, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) )
% 3.15/3.60 , maps( X, 'domain_of'( X ), Y ) ] )
% 3.15/3.60 , clause( 25953, [ subclass( complement( y ), complement( x ) ) ] )
% 3.15/3.60 , clause( 25954, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 ] ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 25841, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 3.15/3.60 ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.15/3.60 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 25842, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.15/3.60 ), ==>( 1, 1 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 , clause( 25843, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 3.15/3.60 subclass( X, Y ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.15/3.60 ), ==>( 1, 1 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 3.15/3.60 , clause( 25844, [ subclass( X, 'universal_class' ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 3.15/3.60 , clause( 25864, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 3.15/3.60 )
% 3.15/3.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.15/3.60 ), ==>( 1, 1 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 23, [ ~( member( X, 'universal_class' ) ), member( X, complement( Y
% 3.15/3.60 ) ), member( X, Y ) ] )
% 3.15/3.60 , clause( 25865, [ ~( member( X, 'universal_class' ) ), member( X,
% 3.15/3.60 complement( Y ) ), member( X, Y ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.15/3.60 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 111, [ subclass( complement( y ), complement( x ) ) ] )
% 3.15/3.60 , clause( 25953, [ subclass( complement( y ), complement( x ) ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 112, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 , clause( 25954, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26101, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ] )
% 3.15/3.60 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 , 0, clause( 3, [ subclass( X, 'universal_class' ) ] )
% 3.15/3.60 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'universal_class' ), :=( Z, Y )] )
% 3.15/3.60 , substitution( 1, [ :=( X, X )] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 3.15/3.60 , clause( 26101, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.15/3.60 ), ==>( 1, 1 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26102, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 , clause( 112, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 3.15/3.60 , Y ) ] )
% 3.15/3.60 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 3.15/3.60 ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 132, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 , clause( 26102, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26103, [ ~( member( 'not_subclass_element'( x, y ), y ) ) ] )
% 3.15/3.60 , clause( 112, [ ~( subclass( x, y ) ) ] )
% 3.15/3.60 , 0, clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 3.15/3.60 subclass( X, Y ) ] )
% 3.15/3.60 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 3.15/3.60 ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 140, [ ~( member( 'not_subclass_element'( x, y ), y ) ) ] )
% 3.15/3.60 , clause( 26103, [ ~( member( 'not_subclass_element'( x, y ), y ) ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26104, [ ~( member( X, complement( y ) ) ), member( X, complement(
% 3.15/3.60 x ) ) ] )
% 3.15/3.60 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 3.15/3.60 )
% 3.15/3.60 , 0, clause( 111, [ subclass( complement( y ), complement( x ) ) ] )
% 3.15/3.60 , 0, substitution( 0, [ :=( X, complement( y ) ), :=( Y, complement( x ) )
% 3.15/3.60 , :=( Z, X )] ), substitution( 1, [] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 142, [ ~( member( X, complement( y ) ) ), member( X, complement( x
% 3.15/3.60 ) ) ] )
% 3.15/3.60 , clause( 26104, [ ~( member( X, complement( y ) ) ), member( X, complement(
% 3.15/3.60 x ) ) ] )
% 3.15/3.60 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.15/3.60 1 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26105, [ member( 'not_subclass_element'( x, y ), 'universal_class'
% 3.15/3.60 ) ] )
% 3.15/3.60 , clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 3.15/3.60 , 0, clause( 132, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( x, y ) ), :=( Y, x )] )
% 3.15/3.60 , substitution( 1, [] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 578, [ member( 'not_subclass_element'( x, y ), 'universal_class' )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 26105, [ member( 'not_subclass_element'( x, y ),
% 3.15/3.60 'universal_class' ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26106, [ ~( member( 'not_subclass_element'( x, y ), complement( x )
% 3.15/3.60 ) ) ] )
% 3.15/3.60 , clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 3.15/3.60 , 1, clause( 132, [ member( 'not_subclass_element'( x, y ), x ) ] )
% 3.15/3.60 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( x, y ) ), :=( Y, x )] )
% 3.15/3.60 , substitution( 1, [] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 1730, [ ~( member( 'not_subclass_element'( x, y ), complement( x )
% 3.15/3.60 ) ) ] )
% 3.15/3.60 , clause( 26106, [ ~( member( 'not_subclass_element'( x, y ), complement( x
% 3.15/3.60 ) ) ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26107, [ ~( member( 'not_subclass_element'( x, y ),
% 3.15/3.60 'universal_class' ) ), member( 'not_subclass_element'( x, y ), complement(
% 3.15/3.60 y ) ) ] )
% 3.15/3.60 , clause( 140, [ ~( member( 'not_subclass_element'( x, y ), y ) ) ] )
% 3.15/3.60 , 0, clause( 23, [ ~( member( X, 'universal_class' ) ), member( X,
% 3.15/3.60 complement( Y ) ), member( X, Y ) ] )
% 3.15/3.60 , 2, substitution( 0, [] ), substitution( 1, [ :=( X,
% 3.15/3.60 'not_subclass_element'( x, y ) ), :=( Y, y )] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26108, [ member( 'not_subclass_element'( x, y ), complement( y ) )
% 3.15/3.60 ] )
% 3.15/3.60 , clause( 26107, [ ~( member( 'not_subclass_element'( x, y ),
% 3.15/3.60 'universal_class' ) ), member( 'not_subclass_element'( x, y ), complement(
% 3.15/3.60 y ) ) ] )
% 3.15/3.60 , 0, clause( 578, [ member( 'not_subclass_element'( x, y ),
% 3.15/3.60 'universal_class' ) ] )
% 3.15/3.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 1860, [ member( 'not_subclass_element'( x, y ), complement( y ) ) ]
% 3.15/3.60 )
% 3.15/3.60 , clause( 26108, [ member( 'not_subclass_element'( x, y ), complement( y )
% 3.15/3.60 ) ] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26109, [ ~( member( 'not_subclass_element'( x, y ), complement( y )
% 3.15/3.60 ) ) ] )
% 3.15/3.60 , clause( 1730, [ ~( member( 'not_subclass_element'( x, y ), complement( x
% 3.15/3.60 ) ) ) ] )
% 3.15/3.60 , 0, clause( 142, [ ~( member( X, complement( y ) ) ), member( X,
% 3.15/3.60 complement( x ) ) ] )
% 3.15/3.60 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 3.15/3.60 'not_subclass_element'( x, y ) )] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 resolution(
% 3.15/3.60 clause( 26110, [] )
% 3.15/3.60 , clause( 26109, [ ~( member( 'not_subclass_element'( x, y ), complement( y
% 3.15/3.60 ) ) ) ] )
% 3.15/3.60 , 0, clause( 1860, [ member( 'not_subclass_element'( x, y ), complement( y
% 3.15/3.60 ) ) ] )
% 3.15/3.60 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 subsumption(
% 3.15/3.60 clause( 25839, [] )
% 3.15/3.60 , clause( 26110, [] )
% 3.15/3.60 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 end.
% 3.15/3.60
% 3.15/3.60 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.15/3.60
% 3.15/3.60 Memory use:
% 3.15/3.60
% 3.15/3.60 space for terms: 386078
% 3.15/3.60 space for clauses: 1198676
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 clauses generated: 55931
% 3.15/3.60 clauses kept: 25840
% 3.15/3.60 clauses selected: 566
% 3.15/3.60 clauses deleted: 3209
% 3.15/3.60 clauses inuse deleted: 78
% 3.15/3.60
% 3.15/3.60 subsentry: 187831
% 3.15/3.60 literals s-matched: 137663
% 3.15/3.60 literals matched: 135289
% 3.15/3.60 full subsumption: 61129
% 3.15/3.60
% 3.15/3.60 checksum: -1811160385
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Bliksem ended
%------------------------------------------------------------------------------