TSTP Solution File: SET074-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 22:46:36 EDT 2022
% Result : Unsatisfiable 0.74s 1.15s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.10 % Command : bliksem %s
% 0.09/0.30 % Computer : n014.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % DateTime : Sun Jul 10 11:41:50 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.74/1.15 *** allocated 10000 integers for termspace/termends
% 0.74/1.15 *** allocated 10000 integers for clauses
% 0.74/1.15 *** allocated 10000 integers for justifications
% 0.74/1.15 Bliksem 1.12
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Automatic Strategy Selection
% 0.74/1.15
% 0.74/1.15 Clauses:
% 0.74/1.15 [
% 0.74/1.15 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.74/1.15 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.74/1.15 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ subclass( X, 'universal_class' ) ],
% 0.74/1.15 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.74/1.15 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.74/1.15 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.74/1.15 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.74/1.15 ) ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.74/1.15 ) ) ],
% 0.74/1.15 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.74/1.15 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.74/1.15 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.74/1.15 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 X, Z ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 Y, T ) ],
% 0.74/1.15 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.74/1.15 ), 'cross_product'( Y, T ) ) ],
% 0.74/1.15 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.74/1.15 ), second( X ) ), X ) ],
% 0.74/1.15 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.74/1.15 Y ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.15 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.74/1.15 , Y ), 'element_relation' ) ],
% 0.74/1.15 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.74/1.15 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.74/1.15 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.74/1.15 Z ) ) ],
% 0.74/1.15 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.74/1.15 member( X, Y ) ],
% 0.74/1.15 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.74/1.15 union( X, Y ) ) ],
% 0.74/1.15 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.74/1.15 intersection( complement( X ), complement( Y ) ) ) ),
% 0.74/1.15 'symmetric_difference'( X, Y ) ) ],
% 0.74/1.15 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.74/1.15 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.74/1.15 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.74/1.15 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.74/1.15 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.74/1.15 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.74/1.15 'cross_product'( 'universal_class', 'universal_class' ),
% 0.74/1.15 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.74/1.15 Y ), rotate( T ) ) ],
% 0.74/1.15 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.74/1.15 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.74/1.15 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.74/1.15 'cross_product'( 'universal_class', 'universal_class' ),
% 0.74/1.15 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.74/1.15 Z ), flip( T ) ) ],
% 0.74/1.15 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.74/1.15 inverse( X ) ) ],
% 0.74/1.15 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.74/1.15 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.74/1.15 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.74/1.15 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.74/1.15 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.74/1.15 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.74/1.15 ],
% 0.74/1.15 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.74/1.15 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.74/1.15 successor( X ), Y ) ],
% 0.74/1.15 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.74/1.15 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.74/1.15 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.74/1.15 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.74/1.15 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.74/1.15 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.74/1.15 [ inductive( omega ) ],
% 0.74/1.15 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.74/1.15 [ member( omega, 'universal_class' ) ],
% 0.74/1.15 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.74/1.15 , 'sum_class'( X ) ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.74/1.15 'universal_class' ) ],
% 0.74/1.15 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.74/1.15 'power_class'( X ) ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.74/1.15 'universal_class' ) ],
% 0.74/1.15 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.74/1.15 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.74/1.15 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.74/1.15 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.74/1.15 ) ],
% 0.74/1.15 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.74/1.15 , 'identity_relation' ) ],
% 0.74/1.15 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.74/1.15 'single_valued_class'( X ) ],
% 0.74/1.15 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ],
% 0.74/1.15 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.74/1.15 'identity_relation' ) ],
% 0.74/1.15 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.15 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.74/1.15 , function( X ) ],
% 0.74/1.15 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.74/1.15 X, Y ), 'universal_class' ) ],
% 0.74/1.15 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.74/1.15 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.74/1.15 ) ],
% 0.74/1.15 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.74/1.15 [ function( choice ) ],
% 0.74/1.15 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.74/1.15 apply( choice, X ), X ) ],
% 0.74/1.15 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.74/1.15 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.74/1.15 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.74/1.15 ,
% 0.74/1.15 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.15 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.74/1.15 , complement( compose( complement( 'element_relation' ), inverse(
% 0.74/1.15 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.74/1.15 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.74/1.15 'identity_relation' ) ],
% 0.74/1.15 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.74/1.15 , diagonalise( X ) ) ],
% 0.74/1.15 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.74/1.15 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.74/1.15 [ ~( operation( X ) ), function( X ) ],
% 0.74/1.15 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.74/1.15 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.74/1.15 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.74/1.15 'domain_of'( X ) ) ) ],
% 0.74/1.15 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.74/1.15 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.74/1.15 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.74/1.15 X ) ],
% 0.74/1.15 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.74/1.15 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.74/1.15 'domain_of'( X ) ) ],
% 0.74/1.15 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.74/1.15 'domain_of'( Z ) ) ) ],
% 0.74/1.15 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.74/1.15 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.74/1.15 ), compatible( X, Y, Z ) ],
% 0.74/1.15 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.74/1.15 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.74/1.15 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.74/1.15 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.74/1.15 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.74/1.15 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.74/1.15 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.74/1.15 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.74/1.15 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.74/1.15 , Y ) ],
% 0.74/1.15 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.74/1.15 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.74/1.15 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.74/1.15 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.74/1.15 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 X, 'unordered_pair'( X, Y ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 Y, 'unordered_pair'( X, Y ) ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 X, 'universal_class' ) ],
% 0.74/1.15 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.15 Y, 'universal_class' ) ],
% 0.74/1.15 [ subclass( X, X ) ],
% 0.74/1.15 [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 0.74/1.15 [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member(
% 0.74/1.15 'not_subclass_element'( Y, X ), Y ) ],
% 0.74/1.15 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member(
% 0.74/1.15 'not_subclass_element'( Y, X ), Y ) ],
% 0.74/1.15 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member(
% 0.74/1.15 'not_subclass_element'( Y, X ), Y ) ],
% 0.74/1.15 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member(
% 0.74/1.15 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 0.74/1.15 [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 0.74/1.15 [ ~( member( X, 'null_class' ) ) ],
% 0.74/1.15 [ subclass( 'null_class', X ) ],
% 0.74/1.15 [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 0.74/1.15 [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 0.74/1.15 ), X ) ],
% 0.74/1.15 [ member( 'null_class', 'universal_class' ) ],
% 0.74/1.15 [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 0.74/1.15 [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ],
% 0.74/1.15 [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ],
% 0.74/1.15 [ member( X, 'universal_class' ), =( 'unordered_pair'( Y, X ), singleton(
% 0.74/1.15 Y ) ) ],
% 0.74/1.15 [ member( X, 'universal_class' ), =( 'unordered_pair'( X, Y ), singleton(
% 0.74/1.15 Y ) ) ],
% 0.74/1.15 [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 0.74/1.15 'universal_class' ), member( Y, 'universal_class' ) ],
% 0.74/1.15 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z ) ) ), ~(
% 0.74/1.15 member( 'ordered_pair'( Y, Z ), 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ), =( Y, Z ) ],
% 0.74/1.15 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y ) ) ), ~(
% 0.74/1.15 member( 'ordered_pair'( X, Z ), 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ), =( X, Z ) ],
% 0.74/1.15 [ member( y, 'universal_class' ) ],
% 0.74/1.15 [ =( 'unordered_pair'( x, y ), 'null_class' ) ]
% 0.74/1.15 ] .
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 percentage equality = 0.233766, percentage horn = 0.871795
% 0.74/1.15 This is a problem with some equality
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Options Used:
% 0.74/1.15
% 0.74/1.15 useres = 1
% 0.74/1.15 useparamod = 1
% 0.74/1.15 useeqrefl = 1
% 0.74/1.15 useeqfact = 1
% 0.74/1.15 usefactor = 1
% 0.74/1.15 usesimpsplitting = 0
% 0.74/1.15 usesimpdemod = 5
% 0.74/1.15 usesimpres = 3
% 0.74/1.15
% 0.74/1.15 resimpinuse = 1000
% 0.74/1.15 resimpclauses = 20000
% 0.74/1.15 substype = eqrewr
% 0.74/1.15 backwardsubs = 1
% 0.74/1.15 selectoldest = 5
% 0.74/1.15
% 0.74/1.15 litorderings [0] = split
% 0.74/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.15
% 0.74/1.15 termordering = kbo
% 0.74/1.15
% 0.74/1.15 litapriori = 0
% 0.74/1.15 termapriori = 1
% 0.74/1.15 litaposteriori = 0
% 0.74/1.15 termaposteriori = 0
% 0.74/1.15 demodaposteriori = 0
% 0.74/1.15 ordereqreflfact = 0
% 0.74/1.15
% 0.74/1.15 litselect = negord
% 0.74/1.15
% 0.74/1.15 maxweight = 15
% 0.74/1.15 maxdepth = 30000
% 0.74/1.15 maxlength = 115
% 0.74/1.15 maxnrvars = 195
% 0.74/1.15 excuselevel = 1
% 0.74/1.15 increasemaxweight = 1
% 0.74/1.15
% 0.74/1.15 maxselected = 10000000
% 0.74/1.15 maxnrclauses = 10000000
% 0.74/1.15
% 0.74/1.15 showgenerated = 0
% 0.74/1.15 showkept = 0
% 0.74/1.15 showselected = 0
% 0.74/1.15 showdeleted = 0
% 0.74/1.15 showresimp = 1
% 0.74/1.15 showstatus = 2000
% 0.74/1.15
% 0.74/1.15 prologoutput = 1
% 0.74/1.15 nrgoals = 5000000
% 0.74/1.15 totalproof = 1
% 0.74/1.15
% 0.74/1.15 Symbols occurring in the translation:
% 0.74/1.15
% 0.74/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.15 . [1, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.15 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 0.74/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 subclass [41, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.74/1.15 member [43, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.74/1.15 'not_subclass_element' [44, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.74/1.15 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.15 'unordered_pair' [46, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.74/1.15 singleton [47, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.74/1.15 'ordered_pair' [48, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.74/1.15 'cross_product' [50, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.74/1.15 first [52, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.74/1.15 second [53, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.74/1.15 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.15 intersection [55, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.74/1.15 complement [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.74/1.15 union [57, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.74/1.15 'symmetric_difference' [58, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.74/1.15 restrict [60, 3] (w:1, o:93, a:1, s:1, b:0),
% 0.74/1.15 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.15 'domain_of' [62, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.15 rotate [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.74/1.15 flip [65, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.15 inverse [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.15 'range_of' [67, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.74/1.15 domain [68, 3] (w:1, o:95, a:1, s:1, b:0),
% 0.74/1.15 range [69, 3] (w:1, o:96, a:1, s:1, b:0),
% 0.74/1.15 image [70, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.74/1.15 successor [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.15 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.74/1.15 inductive [73, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.15 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.74/1.15 'sum_class' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.15 'power_class' [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.74/1.15 compose [78, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.74/1.15 'single_valued_class' [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.15 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.15 function [82, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.15 regular [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.74/1.15 apply [84, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.74/1.15 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.15 'one_to_one' [86, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.15 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.74/1.15 diagonalise [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.15 cantor [89, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.15 operation [90, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.15 compatible [94, 3] (w:1, o:94, a:1, s:1, b:0),
% 0.74/1.15 homomorphism [95, 3] (w:1, o:97, a:1, s:1, b:0),
% 0.74/1.15 'not_homomorphism1' [96, 3] (w:1, o:98, a:1, s:1, b:0),
% 0.74/1.15 'not_homomorphism2' [97, 3] (w:1, o:99, a:1, s:1, b:0),
% 0.74/1.15 y [98, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.15 x [99, 0] (w:1, o:29, a:1, s:1, b:0).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Starting Search:
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Bliksems!, er is een bewijs:
% 0.74/1.15 % SZS status Unsatisfiable
% 0.74/1.15 % SZS output start Refutation
% 0.74/1.15
% 0.74/1.15 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 100, [ ~( member( X, 'null_class' ) ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 113, [ member( y, 'universal_class' ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 114, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 432, [ member( y, 'null_class' ) ] )
% 0.74/1.15 .
% 0.74/1.15 clause( 433, [] )
% 0.74/1.15 .
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 % SZS output end Refutation
% 0.74/1.15 found a proof!
% 0.74/1.15
% 0.74/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.15
% 0.74/1.15 initialclauses(
% 0.74/1.15 [ clause( 435, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 0.74/1.15 ] )
% 0.74/1.15 , clause( 436, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X,
% 0.74/1.15 Y ) ] )
% 0.74/1.15 , clause( 437, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass(
% 0.74/1.15 X, Y ) ] )
% 0.74/1.15 , clause( 438, [ subclass( X, 'universal_class' ) ] )
% 0.74/1.15 , clause( 439, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.74/1.15 , clause( 440, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 0.74/1.15 , clause( 441, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 442, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =(
% 0.74/1.15 X, Z ) ] )
% 0.74/1.15 , clause( 443, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( X, Y ) ) ] )
% 0.74/1.15 , clause( 444, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 , clause( 445, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ] )
% 0.74/1.15 , clause( 446, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.74/1.15 , clause( 447, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X,
% 0.74/1.15 singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.74/1.15 , clause( 448, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( X, Z ) ] )
% 0.74/1.15 , clause( 449, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( Y, T ) ] )
% 0.74/1.15 , clause( 450, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.74/1.15 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.74/1.15 , clause( 451, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 0.74/1.15 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.74/1.15 , clause( 452, [ subclass( 'element_relation', 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 453, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.74/1.15 , member( X, Y ) ] )
% 0.74/1.15 , clause( 454, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.74/1.15 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.74/1.15 , clause( 455, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 456, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 457, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.74/1.15 intersection( Y, Z ) ) ] )
% 0.74/1.15 , clause( 458, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 459, [ ~( member( X, 'universal_class' ) ), member( X, complement(
% 0.74/1.15 Y ) ), member( X, Y ) ] )
% 0.74/1.15 , clause( 460, [ =( complement( intersection( complement( X ), complement(
% 0.74/1.15 Y ) ) ), union( X, Y ) ) ] )
% 0.74/1.15 , clause( 461, [ =( intersection( complement( intersection( X, Y ) ),
% 0.74/1.15 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.74/1.15 'symmetric_difference'( X, Y ) ) ] )
% 0.74/1.15 , clause( 462, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X
% 0.74/1.15 , Y, Z ) ) ] )
% 0.74/1.15 , clause( 463, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z
% 0.74/1.15 , X, Y ) ) ] )
% 0.74/1.15 , clause( 464, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 0.74/1.15 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 0.74/1.15 , clause( 465, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 0.74/1.15 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.74/1.15 'domain_of'( Y ) ) ] )
% 0.74/1.15 , clause( 466, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 467, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.74/1.15 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.74/1.15 ] )
% 0.74/1.15 , clause( 468, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.74/1.15 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.74/1.15 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.74/1.15 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.74/1.15 , Y ), rotate( T ) ) ] )
% 0.74/1.15 , clause( 469, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 470, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.74/1.15 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 471, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.74/1.15 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.74/1.15 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.74/1.15 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.74/1.15 , Z ), flip( T ) ) ] )
% 0.74/1.15 , clause( 472, [ =( 'domain_of'( flip( 'cross_product'( X,
% 0.74/1.15 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.74/1.15 , clause( 473, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 0.74/1.15 , clause( 474, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 0.74/1.15 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.74/1.15 , clause( 475, [ =( second( 'not_subclass_element'( restrict( X, singleton(
% 0.74/1.15 Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.74/1.15 , clause( 476, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 0.74/1.15 image( X, Y ) ) ] )
% 0.74/1.15 , clause( 477, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 0.74/1.15 , clause( 478, [ subclass( 'successor_relation', 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 479, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.74/1.15 ), =( successor( X ), Y ) ] )
% 0.74/1.15 , clause( 480, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X
% 0.74/1.15 , Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 0.74/1.15 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 0.74/1.15 , clause( 481, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.74/1.15 , clause( 482, [ ~( inductive( X ) ), subclass( image( 'successor_relation'
% 0.74/1.15 , X ), X ) ] )
% 0.74/1.15 , clause( 483, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.74/1.15 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.74/1.15 , clause( 484, [ inductive( omega ) ] )
% 0.74/1.15 , clause( 485, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.74/1.15 , clause( 486, [ member( omega, 'universal_class' ) ] )
% 0.74/1.15 , clause( 487, [ =( 'domain_of'( restrict( 'element_relation',
% 0.74/1.15 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.74/1.15 , clause( 488, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.74/1.15 X ), 'universal_class' ) ] )
% 0.74/1.15 , clause( 489, [ =( complement( image( 'element_relation', complement( X )
% 0.74/1.15 ) ), 'power_class'( X ) ) ] )
% 0.74/1.15 , clause( 490, [ ~( member( X, 'universal_class' ) ), member( 'power_class'(
% 0.74/1.15 X ), 'universal_class' ) ] )
% 0.74/1.15 , clause( 491, [ subclass( compose( X, Y ), 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 492, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.74/1.15 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.74/1.15 , clause( 493, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ),
% 0.74/1.15 ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.74/1.15 ) ] )
% 0.74/1.15 , clause( 494, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.74/1.15 inverse( X ) ), 'identity_relation' ) ] )
% 0.74/1.15 , clause( 495, [ ~( subclass( compose( X, inverse( X ) ),
% 0.74/1.15 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.74/1.15 , clause( 496, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.74/1.15 'universal_class', 'universal_class' ) ) ] )
% 0.74/1.15 , clause( 497, [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.74/1.15 'identity_relation' ) ] )
% 0.74/1.15 , clause( 498, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.74/1.15 'identity_relation' ) ), function( X ) ] )
% 0.74/1.15 , clause( 499, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.74/1.15 member( image( X, Y ), 'universal_class' ) ] )
% 0.74/1.15 , clause( 500, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.74/1.15 , clause( 501, [ =( X, 'null_class' ), =( intersection( X, regular( X ) ),
% 0.74/1.15 'null_class' ) ] )
% 0.74/1.15 , clause( 502, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y
% 0.74/1.15 ) ) ] )
% 0.74/1.15 , clause( 503, [ function( choice ) ] )
% 0.74/1.15 , clause( 504, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' )
% 0.74/1.15 , member( apply( choice, X ), X ) ] )
% 0.74/1.15 , clause( 505, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.74/1.15 , clause( 506, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.74/1.15 , clause( 507, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.74/1.15 'one_to_one'( X ) ] )
% 0.74/1.15 , clause( 508, [ =( intersection( 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.74/1.15 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.74/1.15 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.74/1.15 , clause( 509, [ =( intersection( inverse( 'subset_relation' ),
% 0.74/1.15 'subset_relation' ), 'identity_relation' ) ] )
% 0.74/1.15 , clause( 510, [ =( complement( 'domain_of'( intersection( X,
% 0.74/1.15 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.74/1.15 , clause( 511, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.74/1.15 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.74/1.15 , clause( 512, [ ~( operation( X ) ), function( X ) ] )
% 0.74/1.15 , clause( 513, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 0.74/1.15 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.74/1.15 ] )
% 0.74/1.15 , clause( 514, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.74/1.15 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.74/1.15 , clause( 515, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 0.74/1.15 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.74/1.15 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.74/1.15 operation( X ) ] )
% 0.74/1.15 , clause( 516, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.74/1.15 , clause( 517, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y
% 0.74/1.15 ) ), 'domain_of'( X ) ) ] )
% 0.74/1.15 , clause( 518, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.74/1.15 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.74/1.15 , clause( 519, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) )
% 0.74/1.15 , 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.74/1.15 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 0.74/1.15 , clause( 520, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.74/1.15 , clause( 521, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.74/1.15 , clause( 522, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.74/1.15 , clause( 523, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T
% 0.74/1.15 , U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ),
% 0.74/1.15 apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ] )
% 0.74/1.15 , clause( 524, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z
% 0.74/1.15 , X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.74/1.15 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.74/1.15 , Y ) ] )
% 0.74/1.15 , clause( 525, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z
% 0.74/1.15 , X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'(
% 0.74/1.15 Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z,
% 0.74/1.15 apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.74/1.15 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ] )
% 0.74/1.15 , clause( 526, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( X, 'unordered_pair'( X, Y ) ) ] )
% 0.74/1.15 , clause( 527, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( Y, 'unordered_pair'( X, Y ) ) ] )
% 0.74/1.15 , clause( 528, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( X, 'universal_class' ) ] )
% 0.74/1.15 , clause( 529, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.74/1.15 ) ), member( Y, 'universal_class' ) ] )
% 0.74/1.15 , clause( 530, [ subclass( X, X ) ] )
% 0.74/1.15 , clause( 531, [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X
% 0.74/1.15 , Z ) ] )
% 0.74/1.15 , clause( 532, [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ),
% 0.74/1.15 member( 'not_subclass_element'( Y, X ), Y ) ] )
% 0.74/1.15 , clause( 533, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y
% 0.74/1.15 ), member( 'not_subclass_element'( Y, X ), Y ) ] )
% 0.74/1.15 , clause( 534, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X
% 0.74/1.15 ), member( 'not_subclass_element'( Y, X ), Y ) ] )
% 0.74/1.15 , clause( 535, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~(
% 0.74/1.15 member( 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ] )
% 0.74/1.15 , clause( 536, [ ~( member( X, intersection( complement( Y ), Y ) ) ) ] )
% 0.74/1.15 , clause( 537, [ ~( member( X, 'null_class' ) ) ] )
% 0.74/1.15 , clause( 538, [ subclass( 'null_class', X ) ] )
% 0.74/1.15 , clause( 539, [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 540, [ =( X, 'null_class' ), member( 'not_subclass_element'( X,
% 0.74/1.15 'null_class' ), X ) ] )
% 0.74/1.15 , clause( 541, [ member( 'null_class', 'universal_class' ) ] )
% 0.74/1.15 , clause( 542, [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ]
% 0.74/1.15 )
% 0.74/1.15 , clause( 543, [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ] )
% 0.74/1.15 , clause( 544, [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 , clause( 545, [ member( X, 'universal_class' ), =( 'unordered_pair'( Y, X
% 0.74/1.15 ), singleton( Y ) ) ] )
% 0.74/1.15 , clause( 546, [ member( X, 'universal_class' ), =( 'unordered_pair'( X, Y
% 0.74/1.15 ), singleton( Y ) ) ] )
% 0.74/1.15 , clause( 547, [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 0.74/1.15 'universal_class' ), member( Y, 'universal_class' ) ] )
% 0.74/1.15 , clause( 548, [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z ) )
% 0.74/1.15 ), ~( member( 'ordered_pair'( Y, Z ), 'cross_product'( 'universal_class'
% 0.74/1.15 , 'universal_class' ) ) ), =( Y, Z ) ] )
% 0.74/1.15 , clause( 549, [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y ) )
% 0.74/1.15 ), ~( member( 'ordered_pair'( X, Z ), 'cross_product'( 'universal_class'
% 0.74/1.15 , 'universal_class' ) ) ), =( X, Z ) ] )
% 0.74/1.15 , clause( 550, [ member( y, 'universal_class' ) ] )
% 0.74/1.15 , clause( 551, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.74/1.15 ] ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 , clause( 444, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.15 ), ==>( 1, 1 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 100, [ ~( member( X, 'null_class' ) ) ] )
% 0.74/1.15 , clause( 537, [ ~( member( X, 'null_class' ) ) ] )
% 0.74/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 113, [ member( y, 'universal_class' ) ] )
% 0.74/1.15 , clause( 550, [ member( y, 'universal_class' ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 114, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.74/1.15 , clause( 551, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 paramod(
% 0.74/1.15 clause( 753, [ member( y, 'null_class' ), ~( member( y, 'universal_class' )
% 0.74/1.15 ) ] )
% 0.74/1.15 , clause( 114, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.74/1.15 , 0, clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.15 'unordered_pair'( Y, X ) ) ] )
% 0.74/1.15 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x )] )
% 0.74/1.15 ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 754, [ member( y, 'null_class' ) ] )
% 0.74/1.15 , clause( 753, [ member( y, 'null_class' ), ~( member( y, 'universal_class'
% 0.74/1.15 ) ) ] )
% 0.74/1.15 , 1, clause( 113, [ member( y, 'universal_class' ) ] )
% 0.74/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 432, [ member( y, 'null_class' ) ] )
% 0.74/1.15 , clause( 754, [ member( y, 'null_class' ) ] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 resolution(
% 0.74/1.15 clause( 755, [] )
% 0.74/1.15 , clause( 100, [ ~( member( X, 'null_class' ) ) ] )
% 0.74/1.15 , 0, clause( 432, [ member( y, 'null_class' ) ] )
% 0.74/1.15 , 0, substitution( 0, [ :=( X, y )] ), substitution( 1, [] )).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 subsumption(
% 0.74/1.15 clause( 433, [] )
% 0.74/1.15 , clause( 755, [] )
% 0.74/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 end.
% 0.74/1.15
% 0.74/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.15
% 0.74/1.15 Memory use:
% 0.74/1.15
% 0.74/1.15 space for terms: 8624
% 0.74/1.15 space for clauses: 24825
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 clauses generated: 813
% 0.74/1.15 clauses kept: 434
% 0.74/1.15 clauses selected: 41
% 0.74/1.15 clauses deleted: 1
% 0.74/1.15 clauses inuse deleted: 0
% 0.74/1.15
% 0.74/1.15 subsentry: 2388
% 0.74/1.15 literals s-matched: 1836
% 0.74/1.15 literals matched: 1812
% 0.74/1.15 full subsumption: 854
% 0.74/1.15
% 0.74/1.15 checksum: 1270450106
% 0.74/1.15
% 0.74/1.15
% 0.74/1.16 Bliksem ended
%------------------------------------------------------------------------------