%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET158-6 : 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 22:47:42 EDT 2022
% Result : Unsatisfiable 0.72s 1.14s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET158-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 22:56:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.07 *** allocated 10000 integers for termspace/termends
% 0.72/1.07 *** allocated 10000 integers for clauses
% 0.72/1.07 *** allocated 10000 integers for justifications
% 0.72/1.07 Bliksem 1.12
% 0.72/1.07
% 0.72/1.07
% 0.72/1.07 Automatic Strategy Selection
% 0.72/1.07
% 0.72/1.07 Clauses:
% 0.72/1.07 [
% 0.72/1.07 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.07 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.07 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ subclass( X, 'universal_class' ) ],
% 0.72/1.07 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.07 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.07 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.07 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.07 ) ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.07 ) ) ],
% 0.72/1.07 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.07 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.07 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.07 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.07 X, Z ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.07 Y, T ) ],
% 0.72/1.07 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.07 ), 'cross_product'( Y, T ) ) ],
% 0.72/1.07 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.07 ), second( X ) ), X ) ],
% 0.72/1.07 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.72/1.07 Y ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.07 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.07 , Y ), 'element_relation' ) ],
% 0.72/1.07 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.07 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.07 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.72/1.07 Z ) ) ],
% 0.72/1.07 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.72/1.07 member( X, Y ) ],
% 0.72/1.07 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.72/1.07 union( X, Y ) ) ],
% 0.72/1.07 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.72/1.07 intersection( complement( X ), complement( Y ) ) ) ),
% 0.72/1.07 'symmetric_difference'( X, Y ) ) ],
% 0.72/1.07 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.07 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.72/1.07 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.07 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.72/1.07 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.07 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.72/1.07 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.72/1.07 'cross_product'( 'universal_class', 'universal_class' ),
% 0.72/1.07 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.72/1.07 Y ), rotate( T ) ) ],
% 0.72/1.07 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.72/1.07 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.07 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.72/1.07 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.72/1.07 'cross_product'( 'universal_class', 'universal_class' ),
% 0.72/1.07 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.72/1.07 Z ), flip( T ) ) ],
% 0.72/1.07 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.72/1.07 inverse( X ) ) ],
% 0.72/1.07 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.07 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.72/1.07 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.07 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.72/1.07 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.07 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.07 ],
% 0.72/1.07 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.07 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.72/1.07 successor( X ), Y ) ],
% 0.72/1.07 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.72/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.72/1.07 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.07 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.07 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.72/1.07 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.07 [ inductive( omega ) ],
% 0.72/1.07 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.07 [ member( omega, 'universal_class' ) ],
% 0.72/1.07 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.07 , 'sum_class'( X ) ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.72/1.07 'universal_class' ) ],
% 0.72/1.07 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.72/1.07 'power_class'( X ) ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.72/1.07 'universal_class' ) ],
% 0.72/1.07 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.72/1.07 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.07 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.72/1.07 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.07 ) ],
% 0.72/1.07 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.07 , 'identity_relation' ) ],
% 0.72/1.07 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.72/1.07 'single_valued_class'( X ) ],
% 0.72/1.07 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.72/1.07 'identity_relation' ) ],
% 0.72/1.07 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.07 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.07 , function( X ) ],
% 0.72/1.07 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.72/1.07 X, Y ), 'universal_class' ) ],
% 0.72/1.07 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.07 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.07 ) ],
% 0.72/1.07 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.07 [ function( choice ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.72/1.07 apply( choice, X ), X ) ],
% 0.72/1.07 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.07 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.07 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.07 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.07 , complement( compose( complement( 'element_relation' ), inverse(
% 0.72/1.07 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.07 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.72/1.07 'identity_relation' ) ],
% 0.72/1.07 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.07 , diagonalise( X ) ) ],
% 0.72/1.07 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.72/1.07 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.07 [ ~( operation( X ) ), function( X ) ],
% 0.72/1.07 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.07 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.07 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.07 'domain_of'( X ) ) ) ],
% 0.72/1.07 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.72/1.07 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.72/1.07 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.72/1.07 X ) ],
% 0.72/1.07 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.72/1.07 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.72/1.07 'domain_of'( X ) ) ],
% 0.72/1.07 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.07 'domain_of'( Z ) ) ) ],
% 0.72/1.07 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.72/1.07 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.72/1.07 ), compatible( X, Y, Z ) ],
% 0.72/1.07 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.72/1.07 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.72/1.07 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.72/1.07 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.72/1.07 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.72/1.07 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.72/1.07 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.07 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.07 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.07 , Y ) ],
% 0.72/1.07 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.07 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.72/1.07 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.72/1.07 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.72/1.07 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.72/1.07 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.72/1.07 compose( Z, X ), Y ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.07 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.72/1.07 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.72/1.07 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.72/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.07 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.07 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.72/1.07 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.72/1.07 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.72/1.07 'domain_of'( X ), Y ) ],
% 0.72/1.07 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.72/1.07 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.72/1.07 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.72/1.07 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.72/1.07 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.72/1.07 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.72/1.07 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.72/1.07 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.72/1.07 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.72/1.07 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.72/1.07 ,
% 0.72/1.07 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.72/1.07 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.07 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.07 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.72/1.07 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.07 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.72/1.07 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.72/1.07 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.72/1.07 'application_function' ) ],
% 0.72/1.07 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.72/1.07 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.72/1.14 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 0.72/1.14 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 0.72/1.14 'domain_of'( X ), Y ) ],
% 0.72/1.14 [ member( y, x ) ],
% 0.72/1.14 [ member( z, complement( x ) ) ],
% 0.72/1.14 [ =( y, z ) ]
% 0.72/1.14 ] .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 percentage equality = 0.226244, percentage horn = 0.930435
% 0.72/1.14 This is a problem with some equality
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Options Used:
% 0.72/1.14
% 0.72/1.14 useres = 1
% 0.72/1.14 useparamod = 1
% 0.72/1.14 useeqrefl = 1
% 0.72/1.14 useeqfact = 1
% 0.72/1.14 usefactor = 1
% 0.72/1.14 usesimpsplitting = 0
% 0.72/1.14 usesimpdemod = 5
% 0.72/1.14 usesimpres = 3
% 0.72/1.14
% 0.72/1.14 resimpinuse = 1000
% 0.72/1.14 resimpclauses = 20000
% 0.72/1.14 substype = eqrewr
% 0.72/1.14 backwardsubs = 1
% 0.72/1.14 selectoldest = 5
% 0.72/1.14
% 0.72/1.14 litorderings [0] = split
% 0.72/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.14
% 0.72/1.14 termordering = kbo
% 0.72/1.14
% 0.72/1.14 litapriori = 0
% 0.72/1.14 termapriori = 1
% 0.72/1.14 litaposteriori = 0
% 0.72/1.14 termaposteriori = 0
% 0.72/1.14 demodaposteriori = 0
% 0.72/1.14 ordereqreflfact = 0
% 0.72/1.14
% 0.72/1.14 litselect = negord
% 0.72/1.14
% 0.72/1.14 maxweight = 15
% 0.72/1.14 maxdepth = 30000
% 0.72/1.14 maxlength = 115
% 0.72/1.14 maxnrvars = 195
% 0.72/1.14 excuselevel = 1
% 0.72/1.14 increasemaxweight = 1
% 0.72/1.14
% 0.72/1.14 maxselected = 10000000
% 0.72/1.14 maxnrclauses = 10000000
% 0.72/1.14
% 0.72/1.14 showgenerated = 0
% 0.72/1.14 showkept = 0
% 0.72/1.14 showselected = 0
% 0.72/1.14 showdeleted = 0
% 0.72/1.14 showresimp = 1
% 0.72/1.14 showstatus = 2000
% 0.72/1.14
% 0.72/1.14 prologoutput = 1
% 0.72/1.14 nrgoals = 5000000
% 0.72/1.14 totalproof = 1
% 0.72/1.14
% 0.72/1.14 Symbols occurring in the translation:
% 0.72/1.14
% 0.72/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.14 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.14 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 0.72/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 subclass [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.14 member [43, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.72/1.14 'not_subclass_element' [44, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.72/1.14 'universal_class' [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.14 'unordered_pair' [46, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.72/1.14 singleton [47, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.14 'ordered_pair' [48, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.72/1.14 'cross_product' [50, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.72/1.14 first [52, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.14 second [53, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.14 'element_relation' [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.14 intersection [55, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.72/1.14 complement [56, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.14 union [57, 2] (w:1, o:98, a:1, s:1, b:0),
% 0.72/1.14 'symmetric_difference' [58, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.72/1.14 restrict [60, 3] (w:1, o:102, a:1, s:1, b:0),
% 0.72/1.14 'null_class' [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.14 'domain_of' [62, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.14 rotate [63, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.72/1.14 flip [65, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.14 inverse [66, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.14 'range_of' [67, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.72/1.14 domain [68, 3] (w:1, o:104, a:1, s:1, b:0),
% 0.72/1.14 range [69, 3] (w:1, o:105, a:1, s:1, b:0),
% 0.72/1.14 image [70, 2] (w:1, o:96, a:1, s:1, b:0),
% 0.72/1.14 successor [71, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.14 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.14 inductive [73, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.14 omega [74, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.14 'sum_class' [75, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.14 'power_class' [76, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.14 compose [78, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.72/1.14 'single_valued_class' [79, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.14 'identity_relation' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.14 function [82, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.14 regular [83, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.14 apply [84, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.72/1.14 choice [85, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.72/1.14 'one_to_one' [86, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.14 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.14 diagonalise [88, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.14 cantor [89, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.14 operation [90, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.14 compatible [94, 3] (w:1, o:103, a:1, s:1, b:0),
% 0.72/1.14 homomorphism [95, 3] (w:1, o:106, a:1, s:1, b:0),
% 0.72/1.14 'not_homomorphism1' [96, 3] (w:1, o:108, a:1, s:1, b:0),
% 0.72/1.14 'not_homomorphism2' [97, 3] (w:1, o:109, a:1, s:1, b:0),
% 0.72/1.14 'compose_class' [98, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.14 'composition_function' [99, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.14 'domain_relation' [100, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.14 'single_valued1' [101, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.14 'single_valued2' [102, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.14 'single_valued3' [103, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.14 'singleton_relation' [104, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.72/1.14 'application_function' [105, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.14 maps [106, 3] (w:1, o:107, a:1, s:1, b:0),
% 0.72/1.14 y [107, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.14 x [108, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.14 z [109, 0] (w:1, o:35, a:1, s:1, b:0).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Starting Search:
% 0.72/1.14
% 0.72/1.14 Resimplifying inuse:
% 0.72/1.14 Done
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksems!, er is een bewijs:
% 0.72/1.14 % SZS status Unsatisfiable
% 0.72/1.14 % SZS output start Refutation
% 0.72/1.14
% 0.72/1.14 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 111, [ member( y, x ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 112, [ member( z, complement( x ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 113, [ =( z, y ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 133, [ member( y, complement( x ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 1779, [] )
% 0.72/1.14 .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 % SZS output end Refutation
% 0.72/1.14 found a proof!
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 initialclauses(
% 0.72/1.14 [ clause( 1781, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.72/1.14 ) ] )
% 0.72/1.14 , clause( 1782, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.72/1.14 , Y ) ] )
% 0.72/1.14 , clause( 1783, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.72/1.14 subclass( X, Y ) ] )
% 0.72/1.14 , clause( 1784, [ subclass( X, 'universal_class' ) ] )
% 0.72/1.14 , clause( 1785, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.72/1.14 , clause( 1786, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 0.72/1.14 , clause( 1787, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1788, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 0.72/1.14 =( X, Z ) ] )
% 0.72/1.14 , clause( 1789, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.14 'unordered_pair'( X, Y ) ) ] )
% 0.72/1.14 , clause( 1790, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.14 'unordered_pair'( Y, X ) ) ] )
% 0.72/1.14 , clause( 1791, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1792, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.72/1.14 , clause( 1793, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 0.72/1.14 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.72/1.14 , clause( 1794, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.72/1.14 ) ) ), member( X, Z ) ] )
% 0.72/1.14 , clause( 1795, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.72/1.14 ) ) ), member( Y, T ) ] )
% 0.72/1.14 , clause( 1796, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.72/1.14 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.72/1.14 , clause( 1797, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 0.72/1.14 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.72/1.14 , clause( 1798, [ subclass( 'element_relation', 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1799, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.72/1.14 , member( X, Y ) ] )
% 0.72/1.14 , clause( 1800, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.72/1.14 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.72/1.14 , clause( 1801, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1802, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1803, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.72/1.14 intersection( Y, Z ) ) ] )
% 0.72/1.14 , clause( 1804, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1805, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.14 complement( Y ) ), member( X, Y ) ] )
% 0.72/1.14 , clause( 1806, [ =( complement( intersection( complement( X ), complement(
% 0.72/1.14 Y ) ) ), union( X, Y ) ) ] )
% 0.72/1.14 , clause( 1807, [ =( intersection( complement( intersection( X, Y ) ),
% 0.72/1.14 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.72/1.14 'symmetric_difference'( X, Y ) ) ] )
% 0.72/1.14 , clause( 1808, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 0.72/1.14 X, Y, Z ) ) ] )
% 0.72/1.14 , clause( 1809, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 0.72/1.14 Z, X, Y ) ) ] )
% 0.72/1.14 , clause( 1810, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 0.72/1.14 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 0.72/1.14 , clause( 1811, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 0.72/1.14 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.72/1.14 'domain_of'( Y ) ) ] )
% 0.72/1.14 , clause( 1812, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1813, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.72/1.14 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.72/1.14 ] )
% 0.72/1.14 , clause( 1814, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.72/1.14 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.72/1.14 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.14 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.72/1.14 , Y ), rotate( T ) ) ] )
% 0.72/1.14 , clause( 1815, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1816, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.72/1.14 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1817, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.72/1.14 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.72/1.14 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.14 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.72/1.14 , Z ), flip( T ) ) ] )
% 0.72/1.14 , clause( 1818, [ =( 'domain_of'( flip( 'cross_product'( X,
% 0.72/1.14 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.72/1.14 , clause( 1819, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 0.72/1.14 , clause( 1820, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 0.72/1.14 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.72/1.14 , clause( 1821, [ =( second( 'not_subclass_element'( restrict( X, singleton(
% 0.72/1.14 Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.72/1.14 , clause( 1822, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 0.72/1.14 image( X, Y ) ) ] )
% 0.72/1.14 , clause( 1823, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 0.72/1.14 , clause( 1824, [ subclass( 'successor_relation', 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1825, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.72/1.14 ), =( successor( X ), Y ) ] )
% 0.72/1.14 , clause( 1826, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X
% 0.72/1.14 , Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 0.72/1.14 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 0.72/1.14 , clause( 1827, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.72/1.14 , clause( 1828, [ ~( inductive( X ) ), subclass( image(
% 0.72/1.14 'successor_relation', X ), X ) ] )
% 0.72/1.14 , clause( 1829, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.72/1.14 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.72/1.14 , clause( 1830, [ inductive( omega ) ] )
% 0.72/1.14 , clause( 1831, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.72/1.14 , clause( 1832, [ member( omega, 'universal_class' ) ] )
% 0.72/1.14 , clause( 1833, [ =( 'domain_of'( restrict( 'element_relation',
% 0.72/1.14 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.72/1.14 , clause( 1834, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.72/1.14 X ), 'universal_class' ) ] )
% 0.72/1.14 , clause( 1835, [ =( complement( image( 'element_relation', complement( X )
% 0.72/1.14 ) ), 'power_class'( X ) ) ] )
% 0.72/1.14 , clause( 1836, [ ~( member( X, 'universal_class' ) ), member(
% 0.72/1.14 'power_class'( X ), 'universal_class' ) ] )
% 0.72/1.14 , clause( 1837, [ subclass( compose( X, Y ), 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1838, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.72/1.14 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.72/1.14 , clause( 1839, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 0.72/1.14 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.72/1.14 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.14 ) ] )
% 0.72/1.14 , clause( 1840, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.72/1.14 inverse( X ) ), 'identity_relation' ) ] )
% 0.72/1.14 , clause( 1841, [ ~( subclass( compose( X, inverse( X ) ),
% 0.72/1.14 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.72/1.14 , clause( 1842, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1843, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.14 , 'identity_relation' ) ] )
% 0.72/1.14 , clause( 1844, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.72/1.14 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.72/1.14 'identity_relation' ) ), function( X ) ] )
% 0.72/1.14 , clause( 1845, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.72/1.14 member( image( X, Y ), 'universal_class' ) ] )
% 0.72/1.14 , clause( 1846, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.72/1.14 , clause( 1847, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 0.72/1.14 , 'null_class' ) ] )
% 0.72/1.14 , clause( 1848, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y
% 0.72/1.14 ) ) ] )
% 0.72/1.14 , clause( 1849, [ function( choice ) ] )
% 0.72/1.14 , clause( 1850, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' )
% 0.72/1.14 , member( apply( choice, X ), X ) ] )
% 0.72/1.14 , clause( 1851, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.72/1.14 , clause( 1852, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.72/1.14 , clause( 1853, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.72/1.14 'one_to_one'( X ) ] )
% 0.72/1.14 , clause( 1854, [ =( intersection( 'cross_product'( 'universal_class',
% 0.72/1.14 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.72/1.14 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.72/1.14 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.72/1.14 , clause( 1855, [ =( intersection( inverse( 'subset_relation' ),
% 0.72/1.14 'subset_relation' ), 'identity_relation' ) ] )
% 0.72/1.14 , clause( 1856, [ =( complement( 'domain_of'( intersection( X,
% 0.72/1.14 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.72/1.14 , clause( 1857, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.72/1.14 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.72/1.14 , clause( 1858, [ ~( operation( X ) ), function( X ) ] )
% 0.72/1.14 , clause( 1859, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 0.72/1.14 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.72/1.14 ] )
% 0.72/1.14 , clause( 1860, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.72/1.14 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.72/1.14 , clause( 1861, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 0.72/1.14 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.72/1.14 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.72/1.14 operation( X ) ] )
% 0.72/1.14 , clause( 1862, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.72/1.14 , clause( 1863, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 0.72/1.14 Y ) ), 'domain_of'( X ) ) ] )
% 0.72/1.14 , clause( 1864, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.72/1.14 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.72/1.14 , clause( 1865, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) )
% 0.72/1.14 , 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.14 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 0.72/1.14 , clause( 1866, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.72/1.14 , clause( 1867, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.72/1.14 , clause( 1868, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.72/1.14 , clause( 1869, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 0.72/1.14 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 0.72/1.14 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1870, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.72/1.14 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.14 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.14 , Y ) ] )
% 0.72/1.14 , clause( 1871, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.72/1.14 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 0.72/1.14 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 0.72/1.14 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 0.72/1.14 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1872, [ subclass( 'compose_class'( X ), 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1873, [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) )
% 0.72/1.14 ), =( compose( Z, X ), Y ) ] )
% 0.72/1.14 , clause( 1874, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) )
% 0.72/1.14 , member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ] )
% 0.72/1.14 , clause( 1875, [ subclass( 'composition_function', 'cross_product'(
% 0.72/1.14 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 1876, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.14 'composition_function' ) ), =( compose( X, Y ), Z ) ] )
% 0.72/1.14 , clause( 1877, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ), member( 'ordered_pair'( X,
% 0.72/1.14 'ordered_pair'( Y, compose( X, Y ) ) ), 'composition_function' ) ] )
% 0.72/1.14 , clause( 1878, [ subclass( 'domain_relation', 'cross_product'(
% 0.72/1.14 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.14 , clause( 1879, [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) )
% 0.72/1.14 , =( 'domain_of'( X ), Y ) ] )
% 0.72/1.14 , clause( 1880, [ ~( member( X, 'universal_class' ) ), member(
% 0.72/1.14 'ordered_pair'( X, 'domain_of'( X ) ), 'domain_relation' ) ] )
% 0.72/1.14 , clause( 1881, [ =( first( 'not_subclass_element'( compose( X, inverse( X
% 0.72/1.14 ) ), 'identity_relation' ) ), 'single_valued1'( X ) ) ] )
% 0.72/1.14 , clause( 1882, [ =( second( 'not_subclass_element'( compose( X, inverse( X
% 0.72/1.14 ) ), 'identity_relation' ) ), 'single_valued2'( X ) ) ] )
% 0.72/1.14 , clause( 1883, [ =( domain( X, image( inverse( X ), singleton(
% 0.72/1.14 'single_valued1'( X ) ) ), 'single_valued2'( X ) ), 'single_valued3'( X )
% 0.72/1.14 ) ] )
% 0.72/1.14 , clause( 1884, [ =( intersection( complement( compose( 'element_relation'
% 0.72/1.14 , complement( 'identity_relation' ) ) ), 'element_relation' ),
% 0.72/1.14 'singleton_relation' ) ] )
% 0.72/1.14 , clause( 1885, [ subclass( 'application_function', 'cross_product'(
% 0.72/1.14 'universal_class', 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.14 ) ) ) ] )
% 0.72/1.14 , clause( 1886, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.14 'application_function' ) ), member( Y, 'domain_of'( X ) ) ] )
% 0.72/1.14 , clause( 1887, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.14 'application_function' ) ), =( apply( X, Y ), Z ) ] )
% 0.72/1.14 , clause( 1888, [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.72/1.14 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.72/1.14 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.72/1.14 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.72/1.14 'application_function' ) ] )
% 0.72/1.14 , clause( 1889, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 0.72/1.14 , clause( 1890, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 0.72/1.14 , clause( 1891, [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ] )
% 0.72/1.14 , clause( 1892, [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ),
% 0.72/1.14 maps( X, 'domain_of'( X ), Y ) ] )
% 0.72/1.14 , clause( 1893, [ member( y, x ) ] )
% 0.72/1.14 , clause( 1894, [ member( z, complement( x ) ) ] )
% 0.72/1.14 , clause( 1895, [ =( y, z ) ] )
% 0.72/1.14 ] ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.72/1.14 , clause( 1804, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.72/1.14 )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.14 ), ==>( 1, 1 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 111, [ member( y, x ) ] )
% 0.72/1.14 , clause( 1893, [ member( y, x ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 112, [ member( z, complement( x ) ) ] )
% 0.72/1.14 , clause( 1894, [ member( z, complement( x ) ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 eqswap(
% 0.72/1.14 clause( 2089, [ =( z, y ) ] )
% 0.72/1.14 , clause( 1895, [ =( y, z ) ] )
% 0.72/1.14 , 0, substitution( 0, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 113, [ =( z, y ) ] )
% 0.72/1.14 , clause( 2089, [ =( z, y ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 paramod(
% 0.72/1.14 clause( 2091, [ member( y, complement( x ) ) ] )
% 0.72/1.14 , clause( 113, [ =( z, y ) ] )
% 0.72/1.14 , 0, clause( 112, [ member( z, complement( x ) ) ] )
% 0.72/1.14 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 133, [ member( y, complement( x ) ) ] )
% 0.72/1.14 , clause( 2091, [ member( y, complement( x ) ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 2092, [ ~( member( y, x ) ) ] )
% 0.72/1.14 , clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.72/1.14 , 0, clause( 133, [ member( y, complement( x ) ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, y ), :=( Y, x )] ), substitution( 1, [] )
% 0.72/1.14 ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 2094, [] )
% 0.72/1.14 , clause( 2092, [ ~( member( y, x ) ) ] )
% 0.72/1.14 , 0, clause( 111, [ member( y, x ) ] )
% 0.72/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 1779, [] )
% 0.72/1.14 , clause( 2094, [] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 end.
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 Memory use:
% 0.72/1.14
% 0.72/1.14 space for terms: 27123
% 0.72/1.14 space for clauses: 86424
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 clauses generated: 5000
% 0.72/1.14 clauses kept: 1780
% 0.72/1.14 clauses selected: 100
% 0.72/1.14 clauses deleted: 3
% 0.72/1.14 clauses inuse deleted: 2
% 0.72/1.14
% 0.72/1.14 subsentry: 14443
% 0.72/1.14 literals s-matched: 11323
% 0.72/1.14 literals matched: 11111
% 0.72/1.14 full subsumption: 5329
% 0.72/1.14
% 0.72/1.14 checksum: -125040181
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksem ended
%------------------------------------------------------------------------------