TSTP Solution File: SET234-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET234-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 22:48:18 EDT 2022
% Result : Unsatisfiable 2.23s 2.61s
% Output : Refutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET234-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.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 : Mon Jul 11 07:14:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07 [
% 0.42/1.07 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.42/1.07 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.42/1.07 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ subclass( X, 'universal_class' ) ],
% 0.42/1.07 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.42/1.07 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.42/1.07 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.42/1.07 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.42/1.07 ) ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.42/1.07 ) ) ],
% 0.42/1.07 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.42/1.07 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.42/1.07 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.42/1.07 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.42/1.07 X, Z ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.42/1.07 Y, T ) ],
% 0.42/1.07 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.42/1.07 ), 'cross_product'( Y, T ) ) ],
% 0.42/1.07 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.42/1.07 ), second( X ) ), X ) ],
% 0.42/1.07 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.42/1.07 Y ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.42/1.07 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.42/1.07 , Y ), 'element_relation' ) ],
% 0.42/1.07 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.42/1.07 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.42/1.07 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.42/1.07 Z ) ) ],
% 0.42/1.07 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.42/1.07 member( X, Y ) ],
% 0.42/1.07 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.42/1.07 union( X, Y ) ) ],
% 0.42/1.07 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.42/1.07 intersection( complement( X ), complement( Y ) ) ) ),
% 0.42/1.07 'symmetric_difference'( X, Y ) ) ],
% 0.42/1.07 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.42/1.07 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.42/1.07 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.42/1.07 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.42/1.07 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.42/1.07 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.42/1.07 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.42/1.07 'cross_product'( 'universal_class', 'universal_class' ),
% 0.42/1.07 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.42/1.07 Y ), rotate( T ) ) ],
% 0.42/1.07 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.42/1.07 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.42/1.07 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.42/1.07 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.42/1.07 'cross_product'( 'universal_class', 'universal_class' ),
% 0.42/1.07 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.42/1.07 Z ), flip( T ) ) ],
% 0.42/1.07 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.42/1.07 inverse( X ) ) ],
% 0.42/1.07 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.42/1.07 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.42/1.07 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.42/1.07 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.42/1.07 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.42/1.07 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.42/1.07 ],
% 0.42/1.07 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.42/1.07 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.42/1.07 successor( X ), Y ) ],
% 0.42/1.07 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.42/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.42/1.07 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.42/1.07 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.42/1.07 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.42/1.07 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.42/1.07 [ inductive( omega ) ],
% 0.42/1.07 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.42/1.07 [ member( omega, 'universal_class' ) ],
% 0.42/1.07 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.42/1.07 , 'sum_class'( X ) ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.42/1.07 'universal_class' ) ],
% 0.42/1.07 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.42/1.07 'power_class'( X ) ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.42/1.07 'universal_class' ) ],
% 0.42/1.07 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.42/1.07 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.42/1.07 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.42/1.07 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.42/1.07 ) ],
% 0.42/1.07 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.42/1.07 , 'identity_relation' ) ],
% 0.42/1.07 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.42/1.07 'single_valued_class'( X ) ],
% 0.42/1.07 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.42/1.07 'identity_relation' ) ],
% 0.42/1.07 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.07 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.42/1.07 , function( X ) ],
% 0.42/1.07 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.42/1.07 X, Y ), 'universal_class' ) ],
% 0.42/1.07 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.42/1.07 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.42/1.07 ) ],
% 0.42/1.07 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.42/1.07 [ function( choice ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.42/1.07 apply( choice, X ), X ) ],
% 0.42/1.07 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.42/1.07 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.42/1.07 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.07 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.42/1.07 , complement( compose( complement( 'element_relation' ), inverse(
% 0.42/1.07 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.42/1.07 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.42/1.07 'identity_relation' ) ],
% 0.42/1.07 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.42/1.07 , diagonalise( X ) ) ],
% 0.42/1.07 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.42/1.07 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.42/1.07 [ ~( operation( X ) ), function( X ) ],
% 0.42/1.07 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.42/1.07 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.42/1.07 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.42/1.07 'domain_of'( X ) ) ) ],
% 0.42/1.07 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.42/1.07 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.42/1.07 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.42/1.07 X ) ],
% 0.42/1.07 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.42/1.07 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.42/1.07 'domain_of'( X ) ) ],
% 0.42/1.07 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.42/1.07 'domain_of'( Z ) ) ) ],
% 0.42/1.07 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.42/1.07 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.42/1.07 ), compatible( X, Y, Z ) ],
% 0.42/1.07 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.42/1.07 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.42/1.07 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.42/1.07 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.42/1.07 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.42/1.07 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.42/1.07 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.42/1.07 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.42/1.07 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.42/1.07 , Y ) ],
% 0.42/1.07 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.42/1.07 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.42/1.07 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.42/1.07 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.42/1.07 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.42/1.07 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.42/1.07 compose( Z, X ), Y ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.42/1.07 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.42/1.07 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.42/1.07 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.42/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.42/1.07 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.42/1.07 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.42/1.07 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.42/1.07 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.42/1.07 'domain_of'( X ), Y ) ],
% 0.42/1.07 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.42/1.07 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.42/1.07 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.42/1.07 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.42/1.07 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.42/1.07 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.42/1.07 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.42/1.07 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.42/1.07 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.42/1.07 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.42/1.07 ,
% 0.42/1.07 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.42/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.42/1.07 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.42/1.07 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.42/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.42/1.07 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.42/1.07 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.42/1.07 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.42/1.07 'application_function' ) ],
% 0.42/1.07 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.42/1.07 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 2.23/2.61 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 2.23/2.61 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 2.23/2.61 'domain_of'( X ), Y ) ],
% 2.23/2.61 [ member( 'ordered_pair'( first( 'not_subclass_element'( 'cross_product'(
% 2.23/2.61 x, y ), z ) ), second( 'not_subclass_element'( 'cross_product'( x, y ), z
% 2.23/2.61 ) ) ), z ) ],
% 2.23/2.61 [ ~( subclass( 'cross_product'( x, y ), z ) ) ]
% 2.23/2.61 ] .
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 percentage equality = 0.222727, percentage horn = 0.929825
% 2.23/2.61 This is a problem with some equality
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Options Used:
% 2.23/2.61
% 2.23/2.61 useres = 1
% 2.23/2.61 useparamod = 1
% 2.23/2.61 useeqrefl = 1
% 2.23/2.61 useeqfact = 1
% 2.23/2.61 usefactor = 1
% 2.23/2.61 usesimpsplitting = 0
% 2.23/2.61 usesimpdemod = 5
% 2.23/2.61 usesimpres = 3
% 2.23/2.61
% 2.23/2.61 resimpinuse = 1000
% 2.23/2.61 resimpclauses = 20000
% 2.23/2.61 substype = eqrewr
% 2.23/2.61 backwardsubs = 1
% 2.23/2.61 selectoldest = 5
% 2.23/2.61
% 2.23/2.61 litorderings [0] = split
% 2.23/2.61 litorderings [1] = extend the termordering, first sorting on arguments
% 2.23/2.61
% 2.23/2.61 termordering = kbo
% 2.23/2.61
% 2.23/2.61 litapriori = 0
% 2.23/2.61 termapriori = 1
% 2.23/2.61 litaposteriori = 0
% 2.23/2.61 termaposteriori = 0
% 2.23/2.61 demodaposteriori = 0
% 2.23/2.61 ordereqreflfact = 0
% 2.23/2.61
% 2.23/2.61 litselect = negord
% 2.23/2.61
% 2.23/2.61 maxweight = 15
% 2.23/2.61 maxdepth = 30000
% 2.23/2.61 maxlength = 115
% 2.23/2.61 maxnrvars = 195
% 2.23/2.61 excuselevel = 1
% 2.23/2.61 increasemaxweight = 1
% 2.23/2.61
% 2.23/2.61 maxselected = 10000000
% 2.23/2.61 maxnrclauses = 10000000
% 2.23/2.61
% 2.23/2.61 showgenerated = 0
% 2.23/2.61 showkept = 0
% 2.23/2.61 showselected = 0
% 2.23/2.61 showdeleted = 0
% 2.23/2.61 showresimp = 1
% 2.23/2.61 showstatus = 2000
% 2.23/2.61
% 2.23/2.61 prologoutput = 1
% 2.23/2.61 nrgoals = 5000000
% 2.23/2.61 totalproof = 1
% 2.23/2.61
% 2.23/2.61 Symbols occurring in the translation:
% 2.23/2.61
% 2.23/2.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.23/2.61 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 2.23/2.61 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 2.23/2.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.23/2.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.23/2.61 subclass [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 2.23/2.61 member [43, 2] (w:1, o:91, a:1, s:1, b:0),
% 2.23/2.61 'not_subclass_element' [44, 2] (w:1, o:92, a:1, s:1, b:0),
% 2.23/2.61 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.23/2.61 'unordered_pair' [46, 2] (w:1, o:93, a:1, s:1, b:0),
% 2.23/2.61 singleton [47, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.23/2.61 'ordered_pair' [48, 2] (w:1, o:94, a:1, s:1, b:0),
% 2.23/2.61 'cross_product' [50, 2] (w:1, o:95, a:1, s:1, b:0),
% 2.23/2.61 first [52, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.23/2.61 second [53, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.23/2.61 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 2.23/2.61 intersection [55, 2] (w:1, o:97, a:1, s:1, b:0),
% 2.23/2.61 complement [56, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.23/2.61 union [57, 2] (w:1, o:98, a:1, s:1, b:0),
% 2.23/2.61 'symmetric_difference' [58, 2] (w:1, o:99, a:1, s:1, b:0),
% 2.23/2.61 restrict [60, 3] (w:1, o:102, a:1, s:1, b:0),
% 2.23/2.61 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.23/2.61 'domain_of' [62, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.23/2.61 rotate [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.23/2.61 flip [65, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.23/2.61 inverse [66, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.23/2.61 'range_of' [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.23/2.61 domain [68, 3] (w:1, o:104, a:1, s:1, b:0),
% 2.23/2.61 range [69, 3] (w:1, o:105, a:1, s:1, b:0),
% 2.23/2.61 image [70, 2] (w:1, o:96, a:1, s:1, b:0),
% 2.23/2.61 successor [71, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.23/2.61 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.23/2.61 inductive [73, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.23/2.61 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.23/2.61 'sum_class' [75, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.23/2.61 'power_class' [76, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.23/2.61 compose [78, 2] (w:1, o:100, a:1, s:1, b:0),
% 2.23/2.61 'single_valued_class' [79, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.23/2.61 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 2.23/2.61 function [82, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.23/2.61 regular [83, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.23/2.61 apply [84, 2] (w:1, o:101, a:1, s:1, b:0),
% 2.23/2.61 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 2.23/2.61 'one_to_one' [86, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.23/2.61 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.23/2.61 diagonalise [88, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.23/2.61 cantor [89, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.23/2.61 operation [90, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.23/2.61 compatible [94, 3] (w:1, o:103, a:1, s:1, b:0),
% 2.23/2.61 homomorphism [95, 3] (w:1, o:106, a:1, s:1, b:0),
% 2.23/2.61 'not_homomorphism1' [96, 3] (w:1, o:108, a:1, s:1, b:0),
% 2.23/2.61 'not_homomorphism2' [97, 3] (w:1, o:109, a:1, s:1, b:0),
% 2.23/2.61 'compose_class' [98, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.23/2.61 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 2.23/2.61 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 2.23/2.61 'single_valued1' [101, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.23/2.61 'single_valued2' [102, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.23/2.61 'single_valued3' [103, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.23/2.61 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.23/2.61 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.23/2.61 maps [106, 3] (w:1, o:107, a:1, s:1, b:0),
% 2.23/2.61 x [107, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.23/2.61 y [108, 0] (w:1, o:34, a:1, s:1, b:0),
% 2.23/2.61 z [109, 0] (w:1, o:35, a:1, s:1, b:0).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Starting Search:
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 4577
% 2.23/2.61 Kept: 2002
% 2.23/2.61 Inuse: 110
% 2.23/2.61 Deleted: 4
% 2.23/2.61 Deletedinuse: 2
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 9105
% 2.23/2.61 Kept: 4012
% 2.23/2.61 Inuse: 182
% 2.23/2.61 Deleted: 13
% 2.23/2.61 Deletedinuse: 5
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 12974
% 2.23/2.61 Kept: 6024
% 2.23/2.61 Inuse: 235
% 2.23/2.61 Deleted: 20
% 2.23/2.61 Deletedinuse: 10
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 18121
% 2.23/2.61 Kept: 8253
% 2.23/2.61 Inuse: 289
% 2.23/2.61 Deleted: 80
% 2.23/2.61 Deletedinuse: 68
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 23964
% 2.23/2.61 Kept: 10780
% 2.23/2.61 Inuse: 366
% 2.23/2.61 Deleted: 89
% 2.23/2.61 Deletedinuse: 74
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 27503
% 2.23/2.61 Kept: 12786
% 2.23/2.61 Inuse: 394
% 2.23/2.61 Deleted: 94
% 2.23/2.61 Deletedinuse: 79
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 31593
% 2.23/2.61 Kept: 14984
% 2.23/2.61 Inuse: 431
% 2.23/2.61 Deleted: 95
% 2.23/2.61 Deletedinuse: 80
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 35104
% 2.23/2.61 Kept: 17005
% 2.23/2.61 Inuse: 459
% 2.23/2.61 Deleted: 95
% 2.23/2.61 Deletedinuse: 80
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Intermediate Status:
% 2.23/2.61 Generated: 41837
% 2.23/2.61 Kept: 20120
% 2.23/2.61 Inuse: 466
% 2.23/2.61 Deleted: 95
% 2.23/2.61 Deletedinuse: 80
% 2.23/2.61
% 2.23/2.61 Resimplifying inuse:
% 2.23/2.61 Done
% 2.23/2.61
% 2.23/2.61 Resimplifying clauses:
% 2.23/2.61
% 2.23/2.61 Bliksems!, er is een bewijs:
% 2.23/2.61 % SZS status Unsatisfiable
% 2.23/2.61 % SZS output start Refutation
% 2.23/2.61
% 2.23/2.61 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.23/2.61 ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 2.23/2.61 first( X ), second( X ) ), X ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 111, [ member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ), second( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ) ), z ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 112, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 136, [ member( 'not_subclass_element'( 'cross_product'( x, y ), z )
% 2.23/2.61 , 'cross_product'( x, y ) ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 138, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y ),
% 2.23/2.61 z ), z ) ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 16895, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 .
% 2.23/2.61 clause( 20295, [] )
% 2.23/2.61 .
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 % SZS output end Refutation
% 2.23/2.61 found a proof!
% 2.23/2.61
% 2.23/2.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.23/2.61
% 2.23/2.61 initialclauses(
% 2.23/2.61 [ clause( 20297, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 2.23/2.61 ) ] )
% 2.23/2.61 , clause( 20298, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 , clause( 20299, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.23/2.61 subclass( X, Y ) ] )
% 2.23/2.61 , clause( 20300, [ subclass( X, 'universal_class' ) ] )
% 2.23/2.61 , clause( 20301, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 2.23/2.61 , clause( 20302, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 2.23/2.61 , clause( 20303, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 2.23/2.61 ] )
% 2.23/2.61 , clause( 20304, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 2.23/2.61 =( X, Z ) ] )
% 2.23/2.61 , clause( 20305, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.23/2.61 'unordered_pair'( X, Y ) ) ] )
% 2.23/2.61 , clause( 20306, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.23/2.61 'unordered_pair'( Y, X ) ) ] )
% 2.23/2.61 , clause( 20307, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20308, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 2.23/2.61 , clause( 20309, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 2.23/2.61 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 2.23/2.61 , clause( 20310, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.23/2.61 ) ) ), member( X, Z ) ] )
% 2.23/2.61 , clause( 20311, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.23/2.61 ) ) ), member( Y, T ) ] )
% 2.23/2.61 , clause( 20312, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 2.23/2.61 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 2.23/2.61 , clause( 20313, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.23/2.61 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.23/2.61 , clause( 20314, [ subclass( 'element_relation', 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20315, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 2.23/2.61 ), member( X, Y ) ] )
% 2.23/2.61 , clause( 20316, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 2.23/2.61 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 2.23/2.61 , clause( 20317, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20318, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20319, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 2.23/2.61 intersection( Y, Z ) ) ] )
% 2.23/2.61 , clause( 20320, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20321, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.23/2.61 complement( Y ) ), member( X, Y ) ] )
% 2.23/2.61 , clause( 20322, [ =( complement( intersection( complement( X ), complement(
% 2.23/2.61 Y ) ) ), union( X, Y ) ) ] )
% 2.23/2.61 , clause( 20323, [ =( intersection( complement( intersection( X, Y ) ),
% 2.23/2.61 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 2.23/2.61 'symmetric_difference'( X, Y ) ) ] )
% 2.23/2.61 , clause( 20324, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 2.23/2.61 X, Y, Z ) ) ] )
% 2.23/2.61 , clause( 20325, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 2.23/2.61 Z, X, Y ) ) ] )
% 2.23/2.61 , clause( 20326, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 2.23/2.61 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 2.23/2.61 , clause( 20327, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 2.23/2.61 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 2.23/2.61 'domain_of'( Y ) ) ] )
% 2.23/2.61 , clause( 20328, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20329, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.23/2.61 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 2.23/2.61 ] )
% 2.23/2.61 , clause( 20330, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.23/2.61 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 2.23/2.61 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.23/2.61 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 2.23/2.61 , Y ), rotate( T ) ) ] )
% 2.23/2.61 , clause( 20331, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20332, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.23/2.61 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20333, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.23/2.61 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 2.23/2.61 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.23/2.61 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 2.23/2.61 , Z ), flip( T ) ) ] )
% 2.23/2.61 , clause( 20334, [ =( 'domain_of'( flip( 'cross_product'( X,
% 2.23/2.61 'universal_class' ) ) ), inverse( X ) ) ] )
% 2.23/2.61 , clause( 20335, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 2.23/2.61 , clause( 20336, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 2.23/2.61 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 2.23/2.61 , clause( 20337, [ =( second( 'not_subclass_element'( restrict( X,
% 2.23/2.61 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 2.23/2.61 , clause( 20338, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 2.23/2.61 image( X, Y ) ) ] )
% 2.23/2.61 , clause( 20339, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 2.23/2.61 , clause( 20340, [ subclass( 'successor_relation', 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20341, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 2.23/2.61 ) ), =( successor( X ), Y ) ] )
% 2.23/2.61 , clause( 20342, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 2.23/2.61 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 2.23/2.61 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 2.23/2.61 , clause( 20343, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 2.23/2.61 , clause( 20344, [ ~( inductive( X ) ), subclass( image(
% 2.23/2.61 'successor_relation', X ), X ) ] )
% 2.23/2.61 , clause( 20345, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 2.23/2.61 'successor_relation', X ), X ) ), inductive( X ) ] )
% 2.23/2.61 , clause( 20346, [ inductive( omega ) ] )
% 2.23/2.61 , clause( 20347, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 2.23/2.61 , clause( 20348, [ member( omega, 'universal_class' ) ] )
% 2.23/2.61 , clause( 20349, [ =( 'domain_of'( restrict( 'element_relation',
% 2.23/2.61 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 2.23/2.61 , clause( 20350, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 2.23/2.61 X ), 'universal_class' ) ] )
% 2.23/2.61 , clause( 20351, [ =( complement( image( 'element_relation', complement( X
% 2.23/2.61 ) ) ), 'power_class'( X ) ) ] )
% 2.23/2.61 , clause( 20352, [ ~( member( X, 'universal_class' ) ), member(
% 2.23/2.61 'power_class'( X ), 'universal_class' ) ] )
% 2.23/2.61 , clause( 20353, [ subclass( compose( X, Y ), 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20354, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 2.23/2.61 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 2.23/2.61 , clause( 20355, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 2.23/2.61 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 2.23/2.61 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 2.23/2.61 ) ] )
% 2.23/2.61 , clause( 20356, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 2.23/2.61 inverse( X ) ), 'identity_relation' ) ] )
% 2.23/2.61 , clause( 20357, [ ~( subclass( compose( X, inverse( X ) ),
% 2.23/2.61 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 2.23/2.61 , clause( 20358, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20359, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 2.23/2.61 , 'identity_relation' ) ] )
% 2.23/2.61 , clause( 20360, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 2.23/2.61 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 2.23/2.61 'identity_relation' ) ), function( X ) ] )
% 2.23/2.61 , clause( 20361, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 2.23/2.61 , member( image( X, Y ), 'universal_class' ) ] )
% 2.23/2.61 , clause( 20362, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 2.23/2.61 , clause( 20363, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 2.23/2.61 , 'null_class' ) ] )
% 2.23/2.61 , clause( 20364, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 2.23/2.61 Y ) ) ] )
% 2.23/2.61 , clause( 20365, [ function( choice ) ] )
% 2.23/2.61 , clause( 20366, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 2.23/2.61 ), member( apply( choice, X ), X ) ] )
% 2.23/2.61 , clause( 20367, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 2.23/2.61 , clause( 20368, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 2.23/2.61 , clause( 20369, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 2.23/2.61 'one_to_one'( X ) ] )
% 2.23/2.61 , clause( 20370, [ =( intersection( 'cross_product'( 'universal_class',
% 2.23/2.61 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 2.23/2.61 'universal_class' ), complement( compose( complement( 'element_relation'
% 2.23/2.61 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 2.23/2.61 , clause( 20371, [ =( intersection( inverse( 'subset_relation' ),
% 2.23/2.61 'subset_relation' ), 'identity_relation' ) ] )
% 2.23/2.61 , clause( 20372, [ =( complement( 'domain_of'( intersection( X,
% 2.23/2.61 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 2.23/2.61 , clause( 20373, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 2.23/2.61 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 2.23/2.61 , clause( 20374, [ ~( operation( X ) ), function( X ) ] )
% 2.23/2.61 , clause( 20375, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 2.23/2.61 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 2.23/2.61 ] )
% 2.23/2.61 , clause( 20376, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 2.23/2.61 'domain_of'( 'domain_of'( X ) ) ) ] )
% 2.23/2.61 , clause( 20377, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 2.23/2.61 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 2.23/2.61 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 2.23/2.61 operation( X ) ] )
% 2.23/2.61 , clause( 20378, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 2.23/2.61 , clause( 20379, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 2.23/2.61 Y ) ), 'domain_of'( X ) ) ] )
% 2.23/2.61 , clause( 20380, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 2.23/2.61 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 2.23/2.61 , clause( 20381, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 2.23/2.61 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 2.23/2.61 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 2.23/2.61 , clause( 20382, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 2.23/2.61 , clause( 20383, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 2.23/2.61 , clause( 20384, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 2.23/2.61 , clause( 20385, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 2.23/2.61 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 2.23/2.61 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20386, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.23/2.61 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 2.23/2.61 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 , clause( 20387, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.23/2.61 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 2.23/2.61 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 2.23/2.61 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 2.23/2.61 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20388, [ subclass( 'compose_class'( X ), 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20389, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z )
% 2.23/2.61 ) ), =( compose( Z, X ), Y ) ] )
% 2.23/2.61 , clause( 20390, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 2.23/2.61 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 2.23/2.61 , clause( 20391, [ subclass( 'composition_function', 'cross_product'(
% 2.23/2.61 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 2.23/2.61 ) ) ) ] )
% 2.23/2.61 , clause( 20392, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.23/2.61 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 2.23/2.61 , clause( 20393, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 2.23/2.61 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 2.23/2.61 , clause( 20394, [ subclass( 'domain_relation', 'cross_product'(
% 2.23/2.61 'universal_class', 'universal_class' ) ) ] )
% 2.23/2.61 , clause( 20395, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 2.23/2.61 , =( 'domain_of'( X ), Y ) ] )
% 2.23/2.61 , clause( 20396, [ ~( member( X, 'universal_class' ) ), member(
% 2.23/2.61 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 2.23/2.61 , clause( 20397, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 2.23/2.61 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 2.23/2.61 , clause( 20398, [ =( second( 'not_subclass_element'( compose( X, inverse(
% 2.23/2.61 X ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 2.23/2.61 , clause( 20399, [ =( domain( X, image( inverse( X ), singleton(
% 2.23/2.61 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 2.23/2.61 ) ] )
% 2.23/2.61 , clause( 20400, [ =( intersection( complement( compose( 'element_relation'
% 2.23/2.61 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 2.23/2.61 'singleton_relation' ) ] )
% 2.23/2.61 , clause( 20401, [ subclass( 'application_function', 'cross_product'(
% 2.23/2.61 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 2.23/2.61 ) ) ) ] )
% 2.23/2.61 , clause( 20402, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.23/2.61 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 2.23/2.61 , clause( 20403, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.23/2.61 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 2.23/2.61 , clause( 20404, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 2.23/2.61 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 2.23/2.61 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 2.23/2.61 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 2.23/2.61 'application_function' ) ] )
% 2.23/2.61 , clause( 20405, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 2.23/2.61 , clause( 20406, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 2.23/2.61 , clause( 20407, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ]
% 2.23/2.61 )
% 2.23/2.61 , clause( 20408, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) )
% 2.23/2.61 , maps( X, 'domain_of'( X ), Y ) ] )
% 2.23/2.61 , clause( 20409, [ member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ), second( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ) ), z ) ] )
% 2.23/2.61 , clause( 20410, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 ] ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.23/2.61 ] )
% 2.23/2.61 , clause( 20298, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.23/2.61 ), ==>( 1, 1 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 , clause( 20299, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.23/2.61 subclass( X, Y ) ] )
% 2.23/2.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.23/2.61 ), ==>( 1, 1 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 2.23/2.61 first( X ), second( X ) ), X ) ] )
% 2.23/2.61 , clause( 20313, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.23/2.61 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.23/2.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.23/2.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 111, [ member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ), second( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ) ), z ) ] )
% 2.23/2.61 , clause( 20409, [ member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ), second( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ) ), z ) ] )
% 2.23/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 112, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 , clause( 20410, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 resolution(
% 2.23/2.61 clause( 20543, [ member( 'not_subclass_element'( 'cross_product'( x, y ), z
% 2.23/2.61 ), 'cross_product'( x, y ) ) ] )
% 2.23/2.61 , clause( 112, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.23/2.61 , Y ) ] )
% 2.23/2.61 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'cross_product'( x, y
% 2.23/2.61 ) ), :=( Y, z )] )).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 136, [ member( 'not_subclass_element'( 'cross_product'( x, y ), z )
% 2.23/2.61 , 'cross_product'( x, y ) ) ] )
% 2.23/2.61 , clause( 20543, [ member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( x, y ) ) ] )
% 2.23/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 resolution(
% 2.23/2.61 clause( 20544, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), z ) ) ] )
% 2.23/2.61 , clause( 112, [ ~( subclass( 'cross_product'( x, y ), z ) ) ] )
% 2.23/2.61 , 0, clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.23/2.61 subclass( X, Y ) ] )
% 2.23/2.61 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'cross_product'( x, y
% 2.23/2.61 ) ), :=( Y, z )] )).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 138, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y ),
% 2.23/2.61 z ), z ) ) ] )
% 2.23/2.61 , clause( 20544, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y
% 2.23/2.61 ), z ), z ) ) ] )
% 2.23/2.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 paramod(
% 2.23/2.61 clause( 20546, [ member( 'not_subclass_element'( 'cross_product'( x, y ), z
% 2.23/2.61 ), z ), ~( member( 'not_subclass_element'( 'cross_product'( x, y ), z )
% 2.23/2.61 , 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 2.23/2.61 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.23/2.61 , 1, clause( 111, [ member( 'ordered_pair'( first( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ), second( 'not_subclass_element'(
% 2.23/2.61 'cross_product'( x, y ), z ) ) ), z ) ] )
% 2.23/2.61 , 0, 1, substitution( 0, [ :=( X, 'not_subclass_element'( 'cross_product'(
% 2.23/2.61 x, y ), z ) ), :=( Y, X ), :=( Z, Y )] ), substitution( 1, [] )).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 resolution(
% 2.23/2.61 clause( 20547, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , clause( 138, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), z ) ) ] )
% 2.23/2.61 , 0, clause( 20546, [ member( 'not_subclass_element'( 'cross_product'( x, y
% 2.23/2.61 ), z ), z ), ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 2.23/2.61 ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 16895, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , clause( 20547, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y
% 2.23/2.61 ), z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.23/2.61 )] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 resolution(
% 2.23/2.61 clause( 20548, [] )
% 2.23/2.61 , clause( 16895, [ ~( member( 'not_subclass_element'( 'cross_product'( x, y
% 2.23/2.61 ), z ), 'cross_product'( X, Y ) ) ) ] )
% 2.23/2.61 , 0, clause( 136, [ member( 'not_subclass_element'( 'cross_product'( x, y )
% 2.23/2.61 , z ), 'cross_product'( x, y ) ) ] )
% 2.23/2.61 , 0, substitution( 0, [ :=( X, x ), :=( Y, y )] ), substitution( 1, [] )
% 2.23/2.61 ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 subsumption(
% 2.23/2.61 clause( 20295, [] )
% 2.23/2.61 , clause( 20548, [] )
% 2.23/2.61 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 end.
% 2.23/2.61
% 2.23/2.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.23/2.61
% 2.23/2.61 Memory use:
% 2.23/2.61
% 2.23/2.61 space for terms: 315010
% 2.23/2.61 space for clauses: 959578
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 clauses generated: 42466
% 2.23/2.61 clauses kept: 20296
% 2.23/2.61 clauses selected: 466
% 2.23/2.61 clauses deleted: 3360
% 2.23/2.61 clauses inuse deleted: 81
% 2.23/2.61
% 2.23/2.61 subsentry: 151492
% 2.23/2.61 literals s-matched: 111257
% 2.23/2.61 literals matched: 109307
% 2.23/2.61 full subsumption: 48173
% 2.23/2.61
% 2.23/2.61 checksum: 922048213
% 2.23/2.61
% 2.23/2.61
% 2.23/2.61 Bliksem ended
%------------------------------------------------------------------------------