TSTP Solution File: SET146-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET146-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 22:47:36 EDT 2022
% Result : Unsatisfiable 0.76s 1.46s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET146-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jul 10 13:19:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12 [
% 0.73/1.12 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.12 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.73/1.12 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ subclass( X, 'universal_class' ) ],
% 0.73/1.12 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.73/1.12 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.73/1.12 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.73/1.12 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.73/1.12 ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.73/1.12 ) ) ],
% 0.73/1.12 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.73/1.12 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.73/1.12 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.73/1.12 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.12 X, Z ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.12 Y, T ) ],
% 0.73/1.12 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.73/1.12 ), 'cross_product'( Y, T ) ) ],
% 0.73/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.73/1.12 ), second( X ) ), X ) ],
% 0.73/1.12 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.73/1.12 Y ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.12 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.73/1.12 , Y ), 'element_relation' ) ],
% 0.73/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.73/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.73/1.12 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.73/1.12 Z ) ) ],
% 0.73/1.12 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.73/1.12 member( X, Y ) ],
% 0.73/1.12 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.73/1.12 union( X, Y ) ) ],
% 0.73/1.12 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.73/1.12 intersection( complement( X ), complement( Y ) ) ) ),
% 0.73/1.12 'symmetric_difference'( X, Y ) ) ],
% 0.73/1.12 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.73/1.12 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.73/1.12 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.73/1.12 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.73/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.73/1.12 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.12 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.73/1.12 Y ), rotate( T ) ) ],
% 0.73/1.12 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.73/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.73/1.12 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.12 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.73/1.12 Z ), flip( T ) ) ],
% 0.73/1.12 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.73/1.12 inverse( X ) ) ],
% 0.73/1.12 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.73/1.12 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.73/1.12 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.73/1.12 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.73/1.12 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.73/1.12 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.73/1.12 ],
% 0.73/1.12 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.73/1.12 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.73/1.12 successor( X ), Y ) ],
% 0.73/1.12 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.73/1.12 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.73/1.12 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.73/1.12 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.73/1.12 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.73/1.12 [ inductive( omega ) ],
% 0.73/1.12 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.73/1.12 [ member( omega, 'universal_class' ) ],
% 0.73/1.12 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.73/1.12 , 'sum_class'( X ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.73/1.12 'universal_class' ) ],
% 0.73/1.12 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.73/1.12 'power_class'( X ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.73/1.12 'universal_class' ) ],
% 0.73/1.12 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.73/1.12 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.73/1.12 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.73/1.12 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.73/1.12 ) ],
% 0.73/1.12 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.73/1.12 , 'identity_relation' ) ],
% 0.73/1.12 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.73/1.12 'single_valued_class'( X ) ],
% 0.73/1.12 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.73/1.12 'identity_relation' ) ],
% 0.73/1.12 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.12 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.73/1.12 , function( X ) ],
% 0.73/1.12 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.73/1.12 X, Y ), 'universal_class' ) ],
% 0.73/1.12 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.73/1.12 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.73/1.12 ) ],
% 0.73/1.12 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.73/1.12 [ function( choice ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.73/1.12 apply( choice, X ), X ) ],
% 0.73/1.12 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.73/1.12 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.73/1.12 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.12 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.73/1.12 , complement( compose( complement( 'element_relation' ), inverse(
% 0.73/1.12 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.73/1.12 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.73/1.12 'identity_relation' ) ],
% 0.73/1.12 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.73/1.12 , diagonalise( X ) ) ],
% 0.73/1.12 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.73/1.12 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.73/1.12 [ ~( operation( X ) ), function( X ) ],
% 0.73/1.12 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.73/1.12 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.73/1.12 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.12 'domain_of'( X ) ) ) ],
% 0.73/1.12 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.73/1.12 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.73/1.12 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.73/1.12 X ) ],
% 0.73/1.12 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.73/1.12 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.73/1.12 'domain_of'( X ) ) ],
% 0.73/1.12 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.12 'domain_of'( Z ) ) ) ],
% 0.73/1.12 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.73/1.12 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.73/1.12 ), compatible( X, Y, Z ) ],
% 0.73/1.12 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.73/1.12 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.73/1.12 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.73/1.12 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.73/1.12 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.73/1.12 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 ) ],
% 0.76/1.46 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 0.76/1.46 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 0.76/1.46 'domain_of'( X ), Y ) ],
% 0.76/1.46 [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ]
% 0.76/1.46 ] .
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 percentage equality = 0.228311, percentage horn = 0.929204
% 0.76/1.46 This is a problem with some equality
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Options Used:
% 0.76/1.46
% 0.76/1.46 useres = 1
% 0.76/1.46 useparamod = 1
% 0.76/1.46 useeqrefl = 1
% 0.76/1.46 useeqfact = 1
% 0.76/1.46 usefactor = 1
% 0.76/1.46 usesimpsplitting = 0
% 0.76/1.46 usesimpdemod = 5
% 0.76/1.46 usesimpres = 3
% 0.76/1.46
% 0.76/1.46 resimpinuse = 1000
% 0.76/1.46 resimpclauses = 20000
% 0.76/1.46 substype = eqrewr
% 0.76/1.46 backwardsubs = 1
% 0.76/1.46 selectoldest = 5
% 0.76/1.46
% 0.76/1.46 litorderings [0] = split
% 0.76/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.46
% 0.76/1.46 termordering = kbo
% 0.76/1.46
% 0.76/1.46 litapriori = 0
% 0.76/1.46 termapriori = 1
% 0.76/1.46 litaposteriori = 0
% 0.76/1.46 termaposteriori = 0
% 0.76/1.46 demodaposteriori = 0
% 0.76/1.46 ordereqreflfact = 0
% 0.76/1.46
% 0.76/1.46 litselect = negord
% 0.76/1.46
% 0.76/1.46 maxweight = 15
% 0.76/1.46 maxdepth = 30000
% 0.76/1.46 maxlength = 115
% 0.76/1.46 maxnrvars = 195
% 0.76/1.46 excuselevel = 1
% 0.76/1.46 increasemaxweight = 1
% 0.76/1.46
% 0.76/1.46 maxselected = 10000000
% 0.76/1.46 maxnrclauses = 10000000
% 0.76/1.46
% 0.76/1.46 showgenerated = 0
% 0.76/1.46 showkept = 0
% 0.76/1.46 showselected = 0
% 0.76/1.46 showdeleted = 0
% 0.76/1.46 showresimp = 1
% 0.76/1.46 showstatus = 2000
% 0.76/1.46
% 0.76/1.46 prologoutput = 1
% 0.76/1.46 nrgoals = 5000000
% 0.76/1.46 totalproof = 1
% 0.76/1.46
% 0.76/1.46 Symbols occurring in the translation:
% 0.76/1.46
% 0.76/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.46 . [1, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.46 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 0.76/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.46 subclass [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.76/1.46 member [43, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.76/1.46 'not_subclass_element' [44, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.76/1.46 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.46 'unordered_pair' [46, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.76/1.46 singleton [47, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.76/1.46 'ordered_pair' [48, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.76/1.46 'cross_product' [50, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.76/1.46 first [52, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.76/1.46 second [53, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.76/1.46 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.46 intersection [55, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.76/1.46 complement [56, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.46 union [57, 2] (w:1, o:96, a:1, s:1, b:0),
% 0.76/1.46 'symmetric_difference' [58, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.76/1.46 restrict [60, 3] (w:1, o:100, a:1, s:1, b:0),
% 0.76/1.46 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.76/1.46 'domain_of' [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.76/1.46 rotate [63, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.76/1.46 flip [65, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.76/1.46 inverse [66, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.76/1.46 'range_of' [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.76/1.46 domain [68, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.76/1.46 range [69, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.76/1.46 image [70, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.76/1.46 successor [71, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.76/1.46 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.76/1.46 inductive [73, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.46 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.76/1.46 'sum_class' [75, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.46 'power_class' [76, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.46 compose [78, 2] (w:1, o:98, a:1, s:1, b:0),
% 0.76/1.46 'single_valued_class' [79, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.46 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.76/1.46 function [82, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.46 regular [83, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.76/1.46 apply [84, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.76/1.46 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.76/1.46 'one_to_one' [86, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.46 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.76/1.46 diagonalise [88, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.46 cantor [89, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.46 operation [90, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.46 compatible [94, 3] (w:1, o:101, a:1, s:1, b:0),
% 0.76/1.46 homomorphism [95, 3] (w:1, o:104, a:1, s:1, b:0),
% 0.76/1.46 'not_homomorphism1' [96, 3] (w:1, o:106, a:1, s:1, b:0),
% 0.76/1.46 'not_homomorphism2' [97, 3] (w:1, o:107, a:1, s:1, b:0),
% 0.76/1.46 'compose_class' [98, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.46 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.76/1.46 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.46 'single_valued1' [101, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.46 'single_valued2' [102, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.46 'single_valued3' [103, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.46 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.76/1.46 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.76/1.46 maps [106, 3] (w:1, o:105, a:1, s:1, b:0),
% 0.76/1.46 x [107, 0] (w:1, o:33, a:1, s:1, b:0).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Starting Search:
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Intermediate Status:
% 0.76/1.46 Generated: 4995
% 0.76/1.46 Kept: 2042
% 0.76/1.46 Inuse: 101
% 0.76/1.46 Deleted: 7
% 0.76/1.46 Deletedinuse: 2
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Intermediate Status:
% 0.76/1.46 Generated: 9583
% 0.76/1.46 Kept: 4044
% 0.76/1.46 Inuse: 182
% 0.76/1.46 Deleted: 18
% 0.76/1.46 Deletedinuse: 7
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Intermediate Status:
% 0.76/1.46 Generated: 13435
% 0.76/1.46 Kept: 6068
% 0.76/1.46 Inuse: 235
% 0.76/1.46 Deleted: 21
% 0.76/1.46 Deletedinuse: 8
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46 Resimplifying inuse:
% 0.76/1.46 Done
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Intermediate Status:
% 0.76/1.46 Generated: 18170
% 0.76/1.46 Kept: 8115
% 0.76/1.46 Inuse: 286
% 0.76/1.46 Deleted: 78
% 0.76/1.46 Deletedinuse: 63
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Bliksems!, er is een bewijs:
% 0.76/1.46 % SZS status Unsatisfiable
% 0.76/1.46 % SZS output start Refutation
% 0.76/1.46
% 0.76/1.46 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 .
% 0.76/1.46 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 111, [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 1878, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 0.76/1.46 member( X, Y ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 1902, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 1906, [ ~( member( X, intersection( complement( 'universal_class' )
% 0.76/1.46 , Y ) ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 6848, [ =( intersection( complement( 'universal_class' ), X ),
% 0.76/1.46 'null_class' ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 7434, [ ~( member( X, 'null_class' ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 7461, [ ~( member( X, intersection( 'null_class', Y ) ) ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 8290, [ =( intersection( 'null_class', X ), 'null_class' ) ] )
% 0.76/1.46 .
% 0.76/1.46 clause( 8349, [] )
% 0.76/1.46 .
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 % SZS output end Refutation
% 0.76/1.46 found a proof!
% 0.76/1.46
% 0.76/1.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.46
% 0.76/1.46 initialclauses(
% 0.76/1.46 [ clause( 8351, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.76/1.46 ) ] )
% 0.76/1.46 , clause( 8352, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.76/1.46 , Y ) ] )
% 0.76/1.46 , clause( 8353, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.76/1.46 subclass( X, Y ) ] )
% 0.76/1.46 , clause( 8354, [ subclass( X, 'universal_class' ) ] )
% 0.76/1.46 , clause( 8355, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.76/1.46 , clause( 8356, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 0.76/1.46 , clause( 8357, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8358, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 0.76/1.46 =( X, Z ) ] )
% 0.76/1.46 , clause( 8359, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.76/1.46 'unordered_pair'( X, Y ) ) ] )
% 0.76/1.46 , clause( 8360, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.76/1.46 'unordered_pair'( Y, X ) ) ] )
% 0.76/1.46 , clause( 8361, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8362, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.76/1.46 , clause( 8363, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 0.76/1.46 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.76/1.46 , clause( 8364, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.76/1.46 ) ) ), member( X, Z ) ] )
% 0.76/1.46 , clause( 8365, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.76/1.46 ) ) ), member( Y, T ) ] )
% 0.76/1.46 , clause( 8366, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.76/1.46 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.76/1.46 , clause( 8367, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 0.76/1.46 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.76/1.46 , clause( 8368, [ subclass( 'element_relation', 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8369, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.76/1.46 , member( X, Y ) ] )
% 0.76/1.46 , clause( 8370, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.76/1.46 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.76/1.46 , clause( 8371, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8372, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8373, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.76/1.46 intersection( Y, Z ) ) ] )
% 0.76/1.46 , clause( 8374, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8375, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.76/1.46 complement( Y ) ), member( X, Y ) ] )
% 0.76/1.46 , clause( 8376, [ =( complement( intersection( complement( X ), complement(
% 0.76/1.46 Y ) ) ), union( X, Y ) ) ] )
% 0.76/1.46 , clause( 8377, [ =( intersection( complement( intersection( X, Y ) ),
% 0.76/1.46 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.76/1.46 'symmetric_difference'( X, Y ) ) ] )
% 0.76/1.46 , clause( 8378, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 0.76/1.46 X, Y, Z ) ) ] )
% 0.76/1.46 , clause( 8379, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 0.76/1.46 Z, X, Y ) ) ] )
% 0.76/1.46 , clause( 8380, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 0.76/1.46 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 0.76/1.46 , clause( 8381, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 0.76/1.46 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.76/1.46 'domain_of'( Y ) ) ] )
% 0.76/1.46 , clause( 8382, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8383, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.76/1.46 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.76/1.46 ] )
% 0.76/1.46 , clause( 8384, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.76/1.46 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.76/1.46 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.76/1.46 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.76/1.46 , Y ), rotate( T ) ) ] )
% 0.76/1.46 , clause( 8385, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8386, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.76/1.46 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8387, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.76/1.46 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.76/1.46 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.76/1.46 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.76/1.46 , Z ), flip( T ) ) ] )
% 0.76/1.46 , clause( 8388, [ =( 'domain_of'( flip( 'cross_product'( X,
% 0.76/1.46 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.76/1.46 , clause( 8389, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 0.76/1.46 , clause( 8390, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 0.76/1.46 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.76/1.46 , clause( 8391, [ =( second( 'not_subclass_element'( restrict( X, singleton(
% 0.76/1.46 Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.76/1.46 , clause( 8392, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 0.76/1.46 image( X, Y ) ) ] )
% 0.76/1.46 , clause( 8393, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 0.76/1.46 , clause( 8394, [ subclass( 'successor_relation', 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8395, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.76/1.46 ), =( successor( X ), Y ) ] )
% 0.76/1.46 , clause( 8396, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X
% 0.76/1.46 , Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 0.76/1.46 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 0.76/1.46 , clause( 8397, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.76/1.46 , clause( 8398, [ ~( inductive( X ) ), subclass( image(
% 0.76/1.46 'successor_relation', X ), X ) ] )
% 0.76/1.46 , clause( 8399, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.76/1.46 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.76/1.46 , clause( 8400, [ inductive( omega ) ] )
% 0.76/1.46 , clause( 8401, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.76/1.46 , clause( 8402, [ member( omega, 'universal_class' ) ] )
% 0.76/1.46 , clause( 8403, [ =( 'domain_of'( restrict( 'element_relation',
% 0.76/1.46 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.76/1.46 , clause( 8404, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.76/1.46 X ), 'universal_class' ) ] )
% 0.76/1.46 , clause( 8405, [ =( complement( image( 'element_relation', complement( X )
% 0.76/1.46 ) ), 'power_class'( X ) ) ] )
% 0.76/1.46 , clause( 8406, [ ~( member( X, 'universal_class' ) ), member(
% 0.76/1.46 'power_class'( X ), 'universal_class' ) ] )
% 0.76/1.46 , clause( 8407, [ subclass( compose( X, Y ), 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8408, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.76/1.46 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.76/1.46 , clause( 8409, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 0.76/1.46 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.76/1.46 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.76/1.46 ) ] )
% 0.76/1.46 , clause( 8410, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.76/1.46 inverse( X ) ), 'identity_relation' ) ] )
% 0.76/1.46 , clause( 8411, [ ~( subclass( compose( X, inverse( X ) ),
% 0.76/1.46 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.76/1.46 , clause( 8412, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8413, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 0.76/1.46 , 'identity_relation' ) ] )
% 0.76/1.46 , clause( 8414, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.76/1.46 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.76/1.46 'identity_relation' ) ), function( X ) ] )
% 0.76/1.46 , clause( 8415, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.76/1.46 member( image( X, Y ), 'universal_class' ) ] )
% 0.76/1.46 , clause( 8416, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 , clause( 8417, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 0.76/1.46 , 'null_class' ) ] )
% 0.76/1.46 , clause( 8418, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y
% 0.76/1.46 ) ) ] )
% 0.76/1.46 , clause( 8419, [ function( choice ) ] )
% 0.76/1.46 , clause( 8420, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' )
% 0.76/1.46 , member( apply( choice, X ), X ) ] )
% 0.76/1.46 , clause( 8421, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.76/1.46 , clause( 8422, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.76/1.46 , clause( 8423, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.76/1.46 'one_to_one'( X ) ] )
% 0.76/1.46 , clause( 8424, [ =( intersection( 'cross_product'( 'universal_class',
% 0.76/1.46 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.76/1.46 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.76/1.46 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.76/1.46 , clause( 8425, [ =( intersection( inverse( 'subset_relation' ),
% 0.76/1.46 'subset_relation' ), 'identity_relation' ) ] )
% 0.76/1.46 , clause( 8426, [ =( complement( 'domain_of'( intersection( X,
% 0.76/1.46 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.76/1.46 , clause( 8427, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.76/1.46 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.76/1.46 , clause( 8428, [ ~( operation( X ) ), function( X ) ] )
% 0.76/1.46 , clause( 8429, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 0.76/1.46 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.76/1.46 ] )
% 0.76/1.46 , clause( 8430, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.76/1.46 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.76/1.46 , clause( 8431, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 0.76/1.46 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.76/1.46 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.76/1.46 operation( X ) ] )
% 0.76/1.46 , clause( 8432, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.76/1.46 , clause( 8433, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 0.76/1.46 Y ) ), 'domain_of'( X ) ) ] )
% 0.76/1.46 , clause( 8434, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.76/1.46 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.76/1.46 , clause( 8435, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) )
% 0.76/1.46 , 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.76/1.46 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 0.76/1.46 , clause( 8436, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.76/1.46 , clause( 8437, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.76/1.46 , clause( 8438, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.76/1.46 , clause( 8439, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 0.76/1.46 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 0.76/1.46 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8440, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.76/1.46 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.76/1.46 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.76/1.46 , Y ) ] )
% 0.76/1.46 , clause( 8441, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.76/1.46 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 0.76/1.46 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 0.76/1.46 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 0.76/1.46 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8442, [ subclass( 'compose_class'( X ), 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8443, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) )
% 0.76/1.46 ), =( compose( Z, X ), Y ) ] )
% 0.76/1.46 , clause( 8444, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 0.76/1.46 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 0.76/1.46 , clause( 8445, [ subclass( 'composition_function', 'cross_product'(
% 0.76/1.46 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 0.76/1.46 ) ) ) ] )
% 0.76/1.46 , clause( 8446, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.76/1.46 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 0.76/1.46 , clause( 8447, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 0.76/1.46 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 0.76/1.46 , clause( 8448, [ subclass( 'domain_relation', 'cross_product'(
% 0.76/1.46 'universal_class', 'universal_class' ) ) ] )
% 0.76/1.46 , clause( 8449, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 0.76/1.46 , =( 'domain_of'( X ), Y ) ] )
% 0.76/1.46 , clause( 8450, [ ~( member( X, 'universal_class' ) ), member(
% 0.76/1.46 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 0.76/1.46 , clause( 8451, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 0.76/1.46 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 0.76/1.46 , clause( 8452, [ =( second( 'not_subclass_element'( compose( X, inverse( X
% 0.76/1.46 ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 0.76/1.46 , clause( 8453, [ =( domain( X, image( inverse( X ), singleton(
% 0.76/1.46 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 0.76/1.46 ) ] )
% 0.76/1.46 , clause( 8454, [ =( intersection( complement( compose( 'element_relation'
% 0.76/1.46 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 0.76/1.46 'singleton_relation' ) ] )
% 0.76/1.46 , clause( 8455, [ subclass( 'application_function', 'cross_product'(
% 0.76/1.46 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 0.76/1.46 ) ) ) ] )
% 0.76/1.46 , clause( 8456, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.76/1.46 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 0.76/1.46 , clause( 8457, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.76/1.46 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 0.76/1.46 , clause( 8458, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.76/1.46 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.76/1.46 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.76/1.46 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.76/1.46 'application_function' ) ] )
% 0.76/1.46 , clause( 8459, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 0.76/1.46 , clause( 8460, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 0.76/1.46 , clause( 8461, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ] )
% 0.76/1.46 , clause( 8462, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ),
% 0.76/1.46 maps( X, 'domain_of'( X ), Y ) ] )
% 0.76/1.46 , clause( 8463, [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ]
% 0.76/1.46 )
% 0.76/1.46 ] ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 8351, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.76/1.46 ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.46 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 0.76/1.46 , clause( 8354, [ subclass( X, 'universal_class' ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ] )
% 0.76/1.46 , clause( 8371, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.46 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.76/1.46 , clause( 8374, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.46 ), ==>( 1, 1 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 , clause( 8416, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.46 1 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 111, [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ] )
% 0.76/1.46 , clause( 8463, [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8582, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ] )
% 0.76/1.46 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , 0, clause( 3, [ subclass( X, 'universal_class' ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'universal_class' ), :=( Z, Y )] )
% 0.76/1.46 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 0.76/1.46 , clause( 8582, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.46 ), ==>( 1, 1 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8583, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 0.76/1.46 member( X, Y ) ) ] )
% 0.76/1.46 , clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.76/1.46 , 1, clause( 127, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ]
% 0.76/1.46 )
% 0.76/1.46 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'universal_class' )] ),
% 0.76/1.46 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 1878, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 0.76/1.46 member( X, Y ) ) ] )
% 0.76/1.46 , clause( 8583, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 0.76/1.46 member( X, Y ) ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, complement( 'universal_class' ) )] )
% 0.76/1.46 , permutation( 0, [ ==>( 0, 0 ), ==>( 1, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 factor(
% 0.76/1.46 clause( 8585, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 0.76/1.46 , clause( 1878, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 0.76/1.46 member( X, Y ) ) ] )
% 0.76/1.46 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, complement( 'universal_class'
% 0.76/1.46 ) )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 1902, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 0.76/1.46 , clause( 8585, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8586, [ ~( member( X, intersection( complement( 'universal_class' )
% 0.76/1.46 , Y ) ) ) ] )
% 0.76/1.46 , clause( 1902, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 0.76/1.46 , 0, clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.76/1.46 , complement( 'universal_class' ) ), :=( Z, Y )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 1906, [ ~( member( X, intersection( complement( 'universal_class' )
% 0.76/1.46 , Y ) ) ) ] )
% 0.76/1.46 , clause( 8586, [ ~( member( X, intersection( complement( 'universal_class'
% 0.76/1.46 ), Y ) ) ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.46 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8587, [ =( 'null_class', X ), member( regular( X ), X ) ] )
% 0.76/1.46 , clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8588, [ =( 'null_class', intersection( complement(
% 0.76/1.46 'universal_class' ), X ) ) ] )
% 0.76/1.46 , clause( 1906, [ ~( member( X, intersection( complement( 'universal_class'
% 0.76/1.46 ), Y ) ) ) ] )
% 0.76/1.46 , 0, clause( 8587, [ =( 'null_class', X ), member( regular( X ), X ) ] )
% 0.76/1.46 , 1, substitution( 0, [ :=( X, regular( intersection( complement(
% 0.76/1.46 'universal_class' ), X ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X,
% 0.76/1.46 intersection( complement( 'universal_class' ), X ) )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8589, [ =( intersection( complement( 'universal_class' ), X ),
% 0.76/1.46 'null_class' ) ] )
% 0.76/1.46 , clause( 8588, [ =( 'null_class', intersection( complement(
% 0.76/1.46 'universal_class' ), X ) ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 6848, [ =( intersection( complement( 'universal_class' ), X ),
% 0.76/1.46 'null_class' ) ] )
% 0.76/1.46 , clause( 8589, [ =( intersection( complement( 'universal_class' ), X ),
% 0.76/1.46 'null_class' ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 paramod(
% 0.76/1.46 clause( 8591, [ ~( member( X, 'null_class' ) ) ] )
% 0.76/1.46 , clause( 6848, [ =( intersection( complement( 'universal_class' ), X ),
% 0.76/1.46 'null_class' ) ] )
% 0.76/1.46 , 0, clause( 1906, [ ~( member( X, intersection( complement(
% 0.76/1.46 'universal_class' ), Y ) ) ) ] )
% 0.76/1.46 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.46 :=( Y, Y )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 7434, [ ~( member( X, 'null_class' ) ) ] )
% 0.76/1.46 , clause( 8591, [ ~( member( X, 'null_class' ) ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8592, [ ~( member( X, intersection( 'null_class', Y ) ) ) ] )
% 0.76/1.46 , clause( 7434, [ ~( member( X, 'null_class' ) ) ] )
% 0.76/1.46 , 0, clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.76/1.46 )
% 0.76/1.46 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.76/1.46 , 'null_class' ), :=( Z, Y )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 7461, [ ~( member( X, intersection( 'null_class', Y ) ) ) ] )
% 0.76/1.46 , clause( 8592, [ ~( member( X, intersection( 'null_class', Y ) ) ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.46 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8593, [ =( 'null_class', X ), member( regular( X ), X ) ] )
% 0.76/1.46 , clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8594, [ =( 'null_class', intersection( 'null_class', X ) ) ] )
% 0.76/1.46 , clause( 7461, [ ~( member( X, intersection( 'null_class', Y ) ) ) ] )
% 0.76/1.46 , 0, clause( 8593, [ =( 'null_class', X ), member( regular( X ), X ) ] )
% 0.76/1.46 , 1, substitution( 0, [ :=( X, regular( intersection( 'null_class', X ) ) )
% 0.76/1.46 , :=( Y, X )] ), substitution( 1, [ :=( X, intersection( 'null_class', X
% 0.76/1.46 ) )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8595, [ =( intersection( 'null_class', X ), 'null_class' ) ] )
% 0.76/1.46 , clause( 8594, [ =( 'null_class', intersection( 'null_class', X ) ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 8290, [ =( intersection( 'null_class', X ), 'null_class' ) ] )
% 0.76/1.46 , clause( 8595, [ =( intersection( 'null_class', X ), 'null_class' ) ] )
% 0.76/1.46 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8596, [ =( 'null_class', intersection( 'null_class', X ) ) ] )
% 0.76/1.46 , clause( 8290, [ =( intersection( 'null_class', X ), 'null_class' ) ] )
% 0.76/1.46 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 eqswap(
% 0.76/1.46 clause( 8597, [ ~( =( 'null_class', intersection( 'null_class', x ) ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , clause( 111, [ ~( =( intersection( 'null_class', x ), 'null_class' ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , 0, substitution( 0, [] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 resolution(
% 0.76/1.46 clause( 8598, [] )
% 0.76/1.46 , clause( 8597, [ ~( =( 'null_class', intersection( 'null_class', x ) ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , 0, clause( 8596, [ =( 'null_class', intersection( 'null_class', X ) ) ]
% 0.76/1.46 )
% 0.76/1.46 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 subsumption(
% 0.76/1.46 clause( 8349, [] )
% 0.76/1.46 , clause( 8598, [] )
% 0.76/1.46 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 end.
% 0.76/1.46
% 0.76/1.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.46
% 0.76/1.46 Memory use:
% 0.76/1.46
% 0.76/1.46 space for terms: 123739
% 0.76/1.46 space for clauses: 395216
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 clauses generated: 18974
% 0.76/1.46 clauses kept: 8350
% 0.76/1.46 clauses selected: 300
% 0.76/1.46 clauses deleted: 80
% 0.76/1.46 clauses inuse deleted: 63
% 0.76/1.46
% 0.76/1.46 subsentry: 42436
% 0.76/1.46 literals s-matched: 33241
% 0.76/1.46 literals matched: 32764
% 0.76/1.46 full subsumption: 14709
% 0.76/1.46
% 0.76/1.46 checksum: 718048847
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Bliksem ended
%------------------------------------------------------------------------------