TSTP Solution File: SET095-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 22:46:59 EDT 2022
% Result : Unsatisfiable 6.07s 6.44s
% Output : Refutation 6.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n012.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 05:17:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11 [
% 0.71/1.11 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.71/1.11 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.71/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ subclass( X, 'universal_class' ) ],
% 0.71/1.11 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.71/1.11 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.71/1.11 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.71/1.11 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.71/1.11 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.71/1.11 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.71/1.11 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 X, Z ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 Y, T ) ],
% 0.71/1.11 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.71/1.11 ), 'cross_product'( Y, T ) ) ],
% 0.71/1.11 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.71/1.11 ), second( X ) ), X ) ],
% 0.71/1.11 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.71/1.11 Y ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.11 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.71/1.11 , Y ), 'element_relation' ) ],
% 0.71/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.71/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.71/1.11 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.71/1.11 Z ) ) ],
% 0.71/1.11 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.71/1.11 member( X, Y ) ],
% 0.71/1.11 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.71/1.11 union( X, Y ) ) ],
% 0.71/1.11 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.71/1.11 intersection( complement( X ), complement( Y ) ) ) ),
% 0.71/1.11 'symmetric_difference'( X, Y ) ) ],
% 0.71/1.11 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.71/1.11 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.71/1.11 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.71/1.11 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.71/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.71/1.11 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.71/1.11 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.71/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.71/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.71/1.11 Y ), rotate( T ) ) ],
% 0.71/1.11 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.71/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.71/1.11 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.71/1.11 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.71/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.71/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.71/1.11 Z ), flip( T ) ) ],
% 0.71/1.11 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.71/1.11 inverse( X ) ) ],
% 0.71/1.11 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.71/1.11 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.71/1.11 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.71/1.11 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.71/1.11 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.71/1.11 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.71/1.11 ],
% 0.71/1.11 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.71/1.11 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.71/1.11 successor( X ), Y ) ],
% 0.71/1.11 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.71/1.11 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.71/1.11 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.71/1.11 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.71/1.11 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.71/1.11 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.71/1.11 [ inductive( omega ) ],
% 0.71/1.11 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.71/1.11 [ member( omega, 'universal_class' ) ],
% 0.71/1.11 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.71/1.11 , 'sum_class'( X ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.71/1.11 'universal_class' ) ],
% 0.71/1.11 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.71/1.11 'power_class'( X ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.71/1.11 'universal_class' ) ],
% 0.71/1.11 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.71/1.11 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.71/1.11 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.71/1.11 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.71/1.11 , 'identity_relation' ) ],
% 0.71/1.11 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.71/1.11 'single_valued_class'( X ) ],
% 0.71/1.11 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ],
% 0.71/1.11 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.71/1.11 'identity_relation' ) ],
% 0.71/1.11 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.11 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.71/1.11 , function( X ) ],
% 0.71/1.11 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.71/1.11 X, Y ), 'universal_class' ) ],
% 0.71/1.11 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.71/1.11 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.71/1.11 ) ],
% 0.71/1.11 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.71/1.11 [ function( choice ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.71/1.11 apply( choice, X ), X ) ],
% 0.71/1.11 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.71/1.11 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.71/1.11 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.11 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.71/1.11 , complement( compose( complement( 'element_relation' ), inverse(
% 0.71/1.11 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.71/1.11 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.71/1.11 'identity_relation' ) ],
% 0.71/1.11 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.71/1.11 , diagonalise( X ) ) ],
% 0.71/1.11 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.71/1.11 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.71/1.11 [ ~( operation( X ) ), function( X ) ],
% 0.71/1.11 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.71/1.11 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.71/1.11 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.71/1.11 'domain_of'( X ) ) ) ],
% 0.71/1.11 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.71/1.11 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.71/1.11 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.71/1.11 X ) ],
% 0.71/1.11 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.71/1.11 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.71/1.11 'domain_of'( X ) ) ],
% 0.71/1.11 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.71/1.11 'domain_of'( Z ) ) ) ],
% 0.71/1.11 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.71/1.11 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.71/1.11 ), compatible( X, Y, Z ) ],
% 0.71/1.11 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.71/1.11 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.71/1.11 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.71/1.11 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.71/1.11 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.71/1.11 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.71/1.11 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.71/1.11 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.71/1.11 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.71/1.11 , Y ) ],
% 0.71/1.11 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.71/1.11 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.71/1.11 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.71/1.11 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.71/1.11 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 X, 'unordered_pair'( X, Y ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 Y, 'unordered_pair'( X, Y ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 X, 'universal_class' ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.11 Y, 'universal_class' ) ],
% 0.71/1.11 [ subclass( X, X ) ],
% 0.71/1.11 [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 0.71/1.11 [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member(
% 0.71/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.71/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member(
% 0.71/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.71/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member(
% 0.71/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.71/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member(
% 0.71/1.11 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 0.71/1.11 [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 0.71/1.11 [ ~( member( X, 'null_class' ) ) ],
% 0.71/1.11 [ subclass( 'null_class', X ) ],
% 0.71/1.11 [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 0.71/1.11 [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 0.71/1.11 ), X ) ],
% 0.71/1.11 [ member( 'null_class', 'universal_class' ) ],
% 0.71/1.11 [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 0.71/1.11 [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ],
% 0.71/1.11 [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ],
% 0.71/1.11 [ member( X, 'universal_class' ), =( 'unordered_pair'( Y, X ), singleton(
% 0.71/1.11 Y ) ) ],
% 0.71/1.11 [ member( X, 'universal_class' ), =( 'unordered_pair'( X, Y ), singleton(
% 0.71/1.11 Y ) ) ],
% 0.71/1.11 [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 0.71/1.11 'universal_class' ), member( Y, 'universal_class' ) ],
% 0.71/1.11 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z ) ) ), ~(
% 0.71/1.11 member( 'ordered_pair'( Y, Z ), 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ), =( Y, Z ) ],
% 0.71/1.11 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y ) ) ), ~(
% 0.71/1.11 member( 'ordered_pair'( X, Z ), 'cross_product'( 'universal_class',
% 0.71/1.11 'universal_class' ) ) ), =( X, Z ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( X, Y ),
% 0.71/1.11 'null_class' ) ) ],
% 0.71/1.11 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( Y, X ),
% 0.71/1.11 'null_class' ) ) ],
% 0.71/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), ~( =(
% 0.71/1.11 'unordered_pair'( X, Y ), 'null_class' ) ) ],
% 6.07/6.44 [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass( 'unordered_pair'(
% 6.07/6.44 X, Z ), Y ) ],
% 6.07/6.44 [ member( singleton( X ), 'universal_class' ) ],
% 6.07/6.44 [ member( singleton( X ), 'unordered_pair'( Y, singleton( X ) ) ) ],
% 6.07/6.44 [ ~( member( X, 'universal_class' ) ), member( X, singleton( X ) ) ]
% 6.07/6.44 ,
% 6.07/6.44 [ ~( member( X, 'universal_class' ) ), ~( =( singleton( X ),
% 6.07/6.44 'null_class' ) ) ],
% 6.07/6.44 [ member( 'null_class', singleton( 'null_class' ) ) ],
% 6.07/6.44 [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ],
% 6.07/6.44 [ member( X, 'universal_class' ), =( singleton( X ), 'null_class' ) ]
% 6.07/6.44 ,
% 6.07/6.44 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( X,
% 6.07/6.44 'universal_class' ) ), =( X, Y ) ],
% 6.07/6.44 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( Y,
% 6.07/6.44 'universal_class' ) ), =( X, Y ) ],
% 6.07/6.44 [ ~( =( 'unordered_pair'( X, Y ), singleton( Z ) ) ), ~( member( Z,
% 6.07/6.44 'universal_class' ) ), =( Z, X ), =( Z, Y ) ],
% 6.07/6.44 [ ~( member( X, 'universal_class' ) ), member( 'member_of'( singleton( X
% 6.07/6.44 ) ), 'universal_class' ) ],
% 6.07/6.44 [ ~( member( X, 'universal_class' ) ), =( singleton( 'member_of'(
% 6.07/6.44 singleton( X ) ) ), singleton( X ) ) ],
% 6.07/6.44 [ member( 'member_of'( X ), 'universal_class' ), =( 'member_of'( X ), X
% 6.07/6.44 ) ],
% 6.07/6.44 [ =( singleton( 'member_of'( X ) ), X ), =( 'member_of'( X ), X ) ],
% 6.07/6.44 [ ~( member( X, 'universal_class' ) ), =( 'member_of'( singleton( X ) )
% 6.07/6.44 , X ) ],
% 6.07/6.44 [ member( 'member_of1'( X ), 'universal_class' ), =( 'member_of'( X ), X
% 6.07/6.44 ) ],
% 6.07/6.44 [ =( singleton( 'member_of1'( X ) ), X ), =( 'member_of'( X ), X ) ]
% 6.07/6.44 ,
% 6.07/6.44 [ ~( =( singleton( 'member_of'( X ) ), X ) ), member( X,
% 6.07/6.44 'universal_class' ) ],
% 6.07/6.44 [ ~( =( singleton( 'member_of'( X ) ), X ) ), ~( member( Y, X ) ), =(
% 6.07/6.44 'member_of'( X ), Y ) ],
% 6.07/6.44 [ member( x, y ) ],
% 6.07/6.44 [ ~( subclass( singleton( x ), y ) ) ]
% 6.07/6.44 ] .
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 percentage equality = 0.275000, percentage horn = 0.850000
% 6.07/6.44 This is a problem with some equality
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Options Used:
% 6.07/6.44
% 6.07/6.44 useres = 1
% 6.07/6.44 useparamod = 1
% 6.07/6.44 useeqrefl = 1
% 6.07/6.44 useeqfact = 1
% 6.07/6.44 usefactor = 1
% 6.07/6.44 usesimpsplitting = 0
% 6.07/6.44 usesimpdemod = 5
% 6.07/6.44 usesimpres = 3
% 6.07/6.44
% 6.07/6.44 resimpinuse = 1000
% 6.07/6.44 resimpclauses = 20000
% 6.07/6.44 substype = eqrewr
% 6.07/6.44 backwardsubs = 1
% 6.07/6.44 selectoldest = 5
% 6.07/6.44
% 6.07/6.44 litorderings [0] = split
% 6.07/6.44 litorderings [1] = extend the termordering, first sorting on arguments
% 6.07/6.44
% 6.07/6.44 termordering = kbo
% 6.07/6.44
% 6.07/6.44 litapriori = 0
% 6.07/6.44 termapriori = 1
% 6.07/6.44 litaposteriori = 0
% 6.07/6.44 termaposteriori = 0
% 6.07/6.44 demodaposteriori = 0
% 6.07/6.44 ordereqreflfact = 0
% 6.07/6.44
% 6.07/6.44 litselect = negord
% 6.07/6.44
% 6.07/6.44 maxweight = 15
% 6.07/6.44 maxdepth = 30000
% 6.07/6.44 maxlength = 115
% 6.07/6.44 maxnrvars = 195
% 6.07/6.44 excuselevel = 1
% 6.07/6.44 increasemaxweight = 1
% 6.07/6.44
% 6.07/6.44 maxselected = 10000000
% 6.07/6.44 maxnrclauses = 10000000
% 6.07/6.44
% 6.07/6.44 showgenerated = 0
% 6.07/6.44 showkept = 0
% 6.07/6.44 showselected = 0
% 6.07/6.44 showdeleted = 0
% 6.07/6.44 showresimp = 1
% 6.07/6.44 showstatus = 2000
% 6.07/6.44
% 6.07/6.44 prologoutput = 1
% 6.07/6.44 nrgoals = 5000000
% 6.07/6.44 totalproof = 1
% 6.07/6.44
% 6.07/6.44 Symbols occurring in the translation:
% 6.07/6.44
% 6.07/6.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.07/6.44 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 6.07/6.44 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 6.07/6.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.07/6.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.07/6.44 subclass [41, 2] (w:1, o:83, a:1, s:1, b:0),
% 6.07/6.44 member [43, 2] (w:1, o:84, a:1, s:1, b:0),
% 6.07/6.44 'not_subclass_element' [44, 2] (w:1, o:85, a:1, s:1, b:0),
% 6.07/6.44 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 6.07/6.44 'unordered_pair' [46, 2] (w:1, o:86, a:1, s:1, b:0),
% 6.07/6.44 singleton [47, 1] (w:1, o:39, a:1, s:1, b:0),
% 6.07/6.44 'ordered_pair' [48, 2] (w:1, o:87, a:1, s:1, b:0),
% 6.07/6.44 'cross_product' [50, 2] (w:1, o:88, a:1, s:1, b:0),
% 6.07/6.44 first [52, 1] (w:1, o:40, a:1, s:1, b:0),
% 6.07/6.44 second [53, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.07/6.44 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 6.07/6.44 intersection [55, 2] (w:1, o:90, a:1, s:1, b:0),
% 6.07/6.44 complement [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 6.07/6.44 union [57, 2] (w:1, o:91, a:1, s:1, b:0),
% 6.07/6.44 'symmetric_difference' [58, 2] (w:1, o:92, a:1, s:1, b:0),
% 6.07/6.44 restrict [60, 3] (w:1, o:95, a:1, s:1, b:0),
% 6.07/6.44 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 6.07/6.44 'domain_of' [62, 1] (w:1, o:44, a:1, s:1, b:0),
% 6.07/6.44 rotate [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 6.07/6.44 flip [65, 1] (w:1, o:45, a:1, s:1, b:0),
% 6.07/6.44 inverse [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 6.07/6.44 'range_of' [67, 1] (w:1, o:37, a:1, s:1, b:0),
% 6.07/6.44 domain [68, 3] (w:1, o:97, a:1, s:1, b:0),
% 6.07/6.44 range [69, 3] (w:1, o:98, a:1, s:1, b:0),
% 6.07/6.44 image [70, 2] (w:1, o:89, a:1, s:1, b:0),
% 6.07/6.44 successor [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 6.07/6.44 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 6.07/6.44 inductive [73, 1] (w:1, o:48, a:1, s:1, b:0),
% 6.07/6.44 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.07/6.44 'sum_class' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 6.07/6.44 'power_class' [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 6.07/6.44 compose [78, 2] (w:1, o:93, a:1, s:1, b:0),
% 6.07/6.44 'single_valued_class' [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 6.07/6.44 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 6.07/6.44 function [82, 1] (w:1, o:54, a:1, s:1, b:0),
% 6.07/6.44 regular [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 6.07/6.44 apply [84, 2] (w:1, o:94, a:1, s:1, b:0),
% 6.07/6.44 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 6.07/6.44 'one_to_one' [86, 1] (w:1, o:50, a:1, s:1, b:0),
% 6.07/6.44 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 6.07/6.44 diagonalise [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 6.07/6.44 cantor [89, 1] (w:1, o:43, a:1, s:1, b:0),
% 6.07/6.44 operation [90, 1] (w:1, o:51, a:1, s:1, b:0),
% 6.07/6.44 compatible [94, 3] (w:1, o:96, a:1, s:1, b:0),
% 6.07/6.44 homomorphism [95, 3] (w:1, o:99, a:1, s:1, b:0),
% 6.07/6.44 'not_homomorphism1' [96, 3] (w:1, o:100, a:1, s:1, b:0),
% 6.07/6.44 'not_homomorphism2' [97, 3] (w:1, o:101, a:1, s:1, b:0),
% 6.07/6.44 'member_of' [98, 1] (w:1, o:56, a:1, s:1, b:0),
% 6.07/6.44 'member_of1' [99, 1] (w:1, o:57, a:1, s:1, b:0),
% 6.07/6.44 x [100, 0] (w:1, o:29, a:1, s:1, b:0),
% 6.07/6.44 y [101, 0] (w:1, o:30, a:1, s:1, b:0).
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Starting Search:
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 3846
% 6.07/6.44 Kept: 2021
% 6.07/6.44 Inuse: 118
% 6.07/6.44 Deleted: 2
% 6.07/6.44 Deletedinuse: 2
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 8949
% 6.07/6.44 Kept: 4139
% 6.07/6.44 Inuse: 201
% 6.07/6.44 Deleted: 7
% 6.07/6.44 Deletedinuse: 7
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 13863
% 6.07/6.44 Kept: 6155
% 6.07/6.44 Inuse: 285
% 6.07/6.44 Deleted: 10
% 6.07/6.44 Deletedinuse: 10
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 20509
% 6.07/6.44 Kept: 8179
% 6.07/6.44 Inuse: 329
% 6.07/6.44 Deleted: 55
% 6.07/6.44 Deletedinuse: 55
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 27149
% 6.07/6.44 Kept: 10331
% 6.07/6.44 Inuse: 388
% 6.07/6.44 Deleted: 79
% 6.07/6.44 Deletedinuse: 61
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 35000
% 6.07/6.44 Kept: 12335
% 6.07/6.44 Inuse: 428
% 6.07/6.44 Deleted: 81
% 6.07/6.44 Deletedinuse: 63
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 43608
% 6.07/6.44 Kept: 14353
% 6.07/6.44 Inuse: 463
% 6.07/6.44 Deleted: 97
% 6.07/6.44 Deletedinuse: 77
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 48615
% 6.07/6.44 Kept: 17002
% 6.07/6.44 Inuse: 486
% 6.07/6.44 Deleted: 97
% 6.07/6.44 Deletedinuse: 77
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 54185
% 6.07/6.44 Kept: 19017
% 6.07/6.44 Inuse: 500
% 6.07/6.44 Deleted: 101
% 6.07/6.44 Deletedinuse: 81
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying clauses:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 63405
% 6.07/6.44 Kept: 21100
% 6.07/6.44 Inuse: 501
% 6.07/6.44 Deleted: 2117
% 6.07/6.44 Deletedinuse: 82
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 70613
% 6.07/6.44 Kept: 23502
% 6.07/6.44 Inuse: 529
% 6.07/6.44 Deleted: 2119
% 6.07/6.44 Deletedinuse: 82
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Intermediate Status:
% 6.07/6.44 Generated: 76368
% 6.07/6.44 Kept: 25519
% 6.07/6.44 Inuse: 543
% 6.07/6.44 Deleted: 2129
% 6.07/6.44 Deletedinuse: 92
% 6.07/6.44
% 6.07/6.44 Resimplifying inuse:
% 6.07/6.44 Done
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 Bliksems!, er is een bewijs:
% 6.07/6.44 % SZS status Unsatisfiable
% 6.07/6.44 % SZS output start Refutation
% 6.07/6.44
% 6.07/6.44 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.07/6.44 .
% 6.07/6.44 clause( 116, [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass(
% 6.07/6.44 'unordered_pair'( X, Z ), Y ) ] )
% 6.07/6.44 .
% 6.07/6.44 clause( 135, [ member( x, y ) ] )
% 6.07/6.44 .
% 6.07/6.44 clause( 136, [ ~( subclass( singleton( x ), y ) ) ] )
% 6.07/6.44 .
% 6.07/6.44 clause( 147, [ ~( member( X, Y ) ), subclass( singleton( X ), Y ) ] )
% 6.07/6.44 .
% 6.07/6.44 clause( 26818, [] )
% 6.07/6.44 .
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 % SZS output end Refutation
% 6.07/6.44 found a proof!
% 6.07/6.44
% 6.07/6.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.07/6.44
% 6.07/6.44 initialclauses(
% 6.07/6.44 [ clause( 26820, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 6.07/6.44 ) ] )
% 6.07/6.44 , clause( 26821, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 6.07/6.44 , Y ) ] )
% 6.07/6.44 , clause( 26822, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 6.07/6.44 subclass( X, Y ) ] )
% 6.07/6.44 , clause( 26823, [ subclass( X, 'universal_class' ) ] )
% 6.07/6.44 , clause( 26824, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 6.07/6.44 , clause( 26825, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 6.07/6.44 , clause( 26826, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 6.07/6.44 ] )
% 6.07/6.44 , clause( 26827, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 6.07/6.44 =( X, Z ) ] )
% 6.07/6.44 , clause( 26828, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.07/6.44 'unordered_pair'( X, Y ) ) ] )
% 6.07/6.44 , clause( 26829, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.07/6.44 'unordered_pair'( Y, X ) ) ] )
% 6.07/6.44 , clause( 26830, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26831, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.07/6.44 , clause( 26832, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 6.07/6.44 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 6.07/6.44 , clause( 26833, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( X, Z ) ] )
% 6.07/6.44 , clause( 26834, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( Y, T ) ] )
% 6.07/6.44 , clause( 26835, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 6.07/6.44 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 6.07/6.44 , clause( 26836, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 6.07/6.44 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 6.07/6.44 , clause( 26837, [ subclass( 'element_relation', 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26838, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 6.07/6.44 ), member( X, Y ) ] )
% 6.07/6.44 , clause( 26839, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 6.07/6.44 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 6.07/6.44 , clause( 26840, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26841, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26842, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 6.07/6.44 intersection( Y, Z ) ) ] )
% 6.07/6.44 , clause( 26843, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26844, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.07/6.44 complement( Y ) ), member( X, Y ) ] )
% 6.07/6.44 , clause( 26845, [ =( complement( intersection( complement( X ), complement(
% 6.07/6.44 Y ) ) ), union( X, Y ) ) ] )
% 6.07/6.44 , clause( 26846, [ =( intersection( complement( intersection( X, Y ) ),
% 6.07/6.44 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 6.07/6.44 'symmetric_difference'( X, Y ) ) ] )
% 6.07/6.44 , clause( 26847, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 6.07/6.44 X, Y, Z ) ) ] )
% 6.07/6.44 , clause( 26848, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 6.07/6.44 Z, X, Y ) ) ] )
% 6.07/6.44 , clause( 26849, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 6.07/6.44 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 6.07/6.44 , clause( 26850, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 6.07/6.44 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 6.07/6.44 'domain_of'( Y ) ) ] )
% 6.07/6.44 , clause( 26851, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26852, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.07/6.44 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 6.07/6.44 ] )
% 6.07/6.44 , clause( 26853, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.07/6.44 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 6.07/6.44 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 6.07/6.44 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 6.07/6.44 , Y ), rotate( T ) ) ] )
% 6.07/6.44 , clause( 26854, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26855, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.07/6.44 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26856, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 6.07/6.44 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 6.07/6.44 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 6.07/6.44 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 6.07/6.44 , Z ), flip( T ) ) ] )
% 6.07/6.44 , clause( 26857, [ =( 'domain_of'( flip( 'cross_product'( X,
% 6.07/6.44 'universal_class' ) ) ), inverse( X ) ) ] )
% 6.07/6.44 , clause( 26858, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 6.07/6.44 , clause( 26859, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 6.07/6.44 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 6.07/6.44 , clause( 26860, [ =( second( 'not_subclass_element'( restrict( X,
% 6.07/6.44 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 6.07/6.44 , clause( 26861, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 6.07/6.44 image( X, Y ) ) ] )
% 6.07/6.44 , clause( 26862, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 6.07/6.44 , clause( 26863, [ subclass( 'successor_relation', 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26864, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 6.07/6.44 ) ), =( successor( X ), Y ) ] )
% 6.07/6.44 , clause( 26865, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 6.07/6.44 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 6.07/6.44 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 6.07/6.44 , clause( 26866, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 6.07/6.44 , clause( 26867, [ ~( inductive( X ) ), subclass( image(
% 6.07/6.44 'successor_relation', X ), X ) ] )
% 6.07/6.44 , clause( 26868, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 6.07/6.44 'successor_relation', X ), X ) ), inductive( X ) ] )
% 6.07/6.44 , clause( 26869, [ inductive( omega ) ] )
% 6.07/6.44 , clause( 26870, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 6.07/6.44 , clause( 26871, [ member( omega, 'universal_class' ) ] )
% 6.07/6.44 , clause( 26872, [ =( 'domain_of'( restrict( 'element_relation',
% 6.07/6.44 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 6.07/6.44 , clause( 26873, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 6.07/6.44 X ), 'universal_class' ) ] )
% 6.07/6.44 , clause( 26874, [ =( complement( image( 'element_relation', complement( X
% 6.07/6.44 ) ) ), 'power_class'( X ) ) ] )
% 6.07/6.44 , clause( 26875, [ ~( member( X, 'universal_class' ) ), member(
% 6.07/6.44 'power_class'( X ), 'universal_class' ) ] )
% 6.07/6.44 , clause( 26876, [ subclass( compose( X, Y ), 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26877, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 6.07/6.44 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 6.07/6.44 , clause( 26878, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 6.07/6.44 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 6.07/6.44 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 6.07/6.44 ) ] )
% 6.07/6.44 , clause( 26879, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 6.07/6.44 inverse( X ) ), 'identity_relation' ) ] )
% 6.07/6.44 , clause( 26880, [ ~( subclass( compose( X, inverse( X ) ),
% 6.07/6.44 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 6.07/6.44 , clause( 26881, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ] )
% 6.07/6.44 , clause( 26882, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 6.07/6.44 , 'identity_relation' ) ] )
% 6.07/6.44 , clause( 26883, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 6.07/6.44 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 6.07/6.44 'identity_relation' ) ), function( X ) ] )
% 6.07/6.44 , clause( 26884, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 6.07/6.44 , member( image( X, Y ), 'universal_class' ) ] )
% 6.07/6.44 , clause( 26885, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 6.07/6.44 , clause( 26886, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 6.07/6.44 , 'null_class' ) ] )
% 6.07/6.44 , clause( 26887, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 6.07/6.44 Y ) ) ] )
% 6.07/6.44 , clause( 26888, [ function( choice ) ] )
% 6.07/6.44 , clause( 26889, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 6.07/6.44 ), member( apply( choice, X ), X ) ] )
% 6.07/6.44 , clause( 26890, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 6.07/6.44 , clause( 26891, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 6.07/6.44 , clause( 26892, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 6.07/6.44 'one_to_one'( X ) ] )
% 6.07/6.44 , clause( 26893, [ =( intersection( 'cross_product'( 'universal_class',
% 6.07/6.44 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 6.07/6.44 'universal_class' ), complement( compose( complement( 'element_relation'
% 6.07/6.44 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 6.07/6.44 , clause( 26894, [ =( intersection( inverse( 'subset_relation' ),
% 6.07/6.44 'subset_relation' ), 'identity_relation' ) ] )
% 6.07/6.44 , clause( 26895, [ =( complement( 'domain_of'( intersection( X,
% 6.07/6.44 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 6.07/6.44 , clause( 26896, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 6.07/6.44 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 6.07/6.44 , clause( 26897, [ ~( operation( X ) ), function( X ) ] )
% 6.07/6.44 , clause( 26898, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 6.07/6.44 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 6.07/6.44 ] )
% 6.07/6.44 , clause( 26899, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 6.07/6.44 'domain_of'( 'domain_of'( X ) ) ) ] )
% 6.07/6.44 , clause( 26900, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 6.07/6.44 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 6.07/6.44 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 6.07/6.44 operation( X ) ] )
% 6.07/6.44 , clause( 26901, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 6.07/6.44 , clause( 26902, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 6.07/6.44 Y ) ), 'domain_of'( X ) ) ] )
% 6.07/6.44 , clause( 26903, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 6.07/6.44 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 6.07/6.44 , clause( 26904, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 6.07/6.44 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 6.07/6.44 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 6.07/6.44 , clause( 26905, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 6.07/6.44 , clause( 26906, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 6.07/6.44 , clause( 26907, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 6.07/6.44 , clause( 26908, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 6.07/6.44 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 6.07/6.44 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26909, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 6.07/6.44 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 6.07/6.44 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 6.07/6.44 , Y ) ] )
% 6.07/6.44 , clause( 26910, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 6.07/6.44 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 6.07/6.44 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 6.07/6.44 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 6.07/6.44 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26911, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( X, 'unordered_pair'( X, Y ) ) ] )
% 6.07/6.44 , clause( 26912, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( Y, 'unordered_pair'( X, Y ) ) ] )
% 6.07/6.44 , clause( 26913, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( X, 'universal_class' ) ] )
% 6.07/6.44 , clause( 26914, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), member( Y, 'universal_class' ) ] )
% 6.07/6.44 , clause( 26915, [ subclass( X, X ) ] )
% 6.07/6.44 , clause( 26916, [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass(
% 6.07/6.44 X, Z ) ] )
% 6.07/6.44 , clause( 26917, [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ),
% 6.07/6.44 member( 'not_subclass_element'( Y, X ), Y ) ] )
% 6.07/6.44 , clause( 26918, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X,
% 6.07/6.44 Y ), member( 'not_subclass_element'( Y, X ), Y ) ] )
% 6.07/6.44 , clause( 26919, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y,
% 6.07/6.44 X ), member( 'not_subclass_element'( Y, X ), Y ) ] )
% 6.07/6.44 , clause( 26920, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~(
% 6.07/6.44 member( 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ] )
% 6.07/6.44 , clause( 26921, [ ~( member( X, intersection( complement( Y ), Y ) ) ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26922, [ ~( member( X, 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26923, [ subclass( 'null_class', X ) ] )
% 6.07/6.44 , clause( 26924, [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26925, [ =( X, 'null_class' ), member( 'not_subclass_element'( X
% 6.07/6.44 , 'null_class' ), X ) ] )
% 6.07/6.44 , clause( 26926, [ member( 'null_class', 'universal_class' ) ] )
% 6.07/6.44 , clause( 26927, [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) )
% 6.07/6.44 ] )
% 6.07/6.44 , clause( 26928, [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26929, [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ]
% 6.07/6.44 )
% 6.07/6.44 , clause( 26930, [ member( X, 'universal_class' ), =( 'unordered_pair'( Y,
% 6.07/6.44 X ), singleton( Y ) ) ] )
% 6.07/6.44 , clause( 26931, [ member( X, 'universal_class' ), =( 'unordered_pair'( X,
% 6.07/6.44 Y ), singleton( Y ) ) ] )
% 6.07/6.44 , clause( 26932, [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 6.07/6.44 'universal_class' ), member( Y, 'universal_class' ) ] )
% 6.07/6.44 , clause( 26933, [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z )
% 6.07/6.44 ) ), ~( member( 'ordered_pair'( Y, Z ), 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ), =( Y, Z ) ] )
% 6.07/6.44 , clause( 26934, [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y )
% 6.07/6.44 ) ), ~( member( 'ordered_pair'( X, Z ), 'cross_product'(
% 6.07/6.44 'universal_class', 'universal_class' ) ) ), =( X, Z ) ] )
% 6.07/6.44 , clause( 26935, [ ~( member( X, 'universal_class' ) ), ~( =(
% 6.07/6.44 'unordered_pair'( X, Y ), 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26936, [ ~( member( X, 'universal_class' ) ), ~( =(
% 6.07/6.44 'unordered_pair'( Y, X ), 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26937, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 6.07/6.44 ) ) ), ~( =( 'unordered_pair'( X, Y ), 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26938, [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass(
% 6.07/6.44 'unordered_pair'( X, Z ), Y ) ] )
% 6.07/6.44 , clause( 26939, [ member( singleton( X ), 'universal_class' ) ] )
% 6.07/6.44 , clause( 26940, [ member( singleton( X ), 'unordered_pair'( Y, singleton(
% 6.07/6.44 X ) ) ) ] )
% 6.07/6.44 , clause( 26941, [ ~( member( X, 'universal_class' ) ), member( X,
% 6.07/6.44 singleton( X ) ) ] )
% 6.07/6.44 , clause( 26942, [ ~( member( X, 'universal_class' ) ), ~( =( singleton( X
% 6.07/6.44 ), 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26943, [ member( 'null_class', singleton( 'null_class' ) ) ] )
% 6.07/6.44 , clause( 26944, [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ] )
% 6.07/6.44 , clause( 26945, [ member( X, 'universal_class' ), =( singleton( X ),
% 6.07/6.44 'null_class' ) ] )
% 6.07/6.44 , clause( 26946, [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( X,
% 6.07/6.44 'universal_class' ) ), =( X, Y ) ] )
% 6.07/6.44 , clause( 26947, [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( Y,
% 6.07/6.44 'universal_class' ) ), =( X, Y ) ] )
% 6.07/6.44 , clause( 26948, [ ~( =( 'unordered_pair'( X, Y ), singleton( Z ) ) ), ~(
% 6.07/6.44 member( Z, 'universal_class' ) ), =( Z, X ), =( Z, Y ) ] )
% 6.07/6.44 , clause( 26949, [ ~( member( X, 'universal_class' ) ), member( 'member_of'(
% 6.07/6.44 singleton( X ) ), 'universal_class' ) ] )
% 6.07/6.44 , clause( 26950, [ ~( member( X, 'universal_class' ) ), =( singleton(
% 6.07/6.44 'member_of'( singleton( X ) ) ), singleton( X ) ) ] )
% 6.07/6.44 , clause( 26951, [ member( 'member_of'( X ), 'universal_class' ), =(
% 6.07/6.44 'member_of'( X ), X ) ] )
% 6.07/6.44 , clause( 26952, [ =( singleton( 'member_of'( X ) ), X ), =( 'member_of'( X
% 6.07/6.44 ), X ) ] )
% 6.07/6.44 , clause( 26953, [ ~( member( X, 'universal_class' ) ), =( 'member_of'(
% 6.07/6.44 singleton( X ) ), X ) ] )
% 6.07/6.44 , clause( 26954, [ member( 'member_of1'( X ), 'universal_class' ), =(
% 6.07/6.44 'member_of'( X ), X ) ] )
% 6.07/6.44 , clause( 26955, [ =( singleton( 'member_of1'( X ) ), X ), =( 'member_of'(
% 6.07/6.44 X ), X ) ] )
% 6.07/6.44 , clause( 26956, [ ~( =( singleton( 'member_of'( X ) ), X ) ), member( X,
% 6.07/6.44 'universal_class' ) ] )
% 6.07/6.44 , clause( 26957, [ ~( =( singleton( 'member_of'( X ) ), X ) ), ~( member( Y
% 6.07/6.44 , X ) ), =( 'member_of'( X ), Y ) ] )
% 6.07/6.44 , clause( 26958, [ member( x, y ) ] )
% 6.07/6.44 , clause( 26959, [ ~( subclass( singleton( x ), y ) ) ] )
% 6.07/6.44 ] ).
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44
% 6.07/6.44 subsumption(
% 6.07/6.44 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.07/6.45 , clause( 26831, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.07/6.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 subsumption(
% 6.07/6.45 clause( 116, [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass(
% 6.07/6.45 'unordered_pair'( X, Z ), Y ) ] )
% 6.07/6.45 , clause( 26938, [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass(
% 6.07/6.45 'unordered_pair'( X, Z ), Y ) ] )
% 6.07/6.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.07/6.45 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 subsumption(
% 6.07/6.45 clause( 135, [ member( x, y ) ] )
% 6.07/6.45 , clause( 26958, [ member( x, y ) ] )
% 6.07/6.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 subsumption(
% 6.07/6.45 clause( 136, [ ~( subclass( singleton( x ), y ) ) ] )
% 6.07/6.45 , clause( 26959, [ ~( subclass( singleton( x ), y ) ) ] )
% 6.07/6.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 factor(
% 6.07/6.45 clause( 27254, [ ~( member( X, Y ) ), subclass( 'unordered_pair'( X, X ), Y
% 6.07/6.45 ) ] )
% 6.07/6.45 , clause( 116, [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass(
% 6.07/6.45 'unordered_pair'( X, Z ), Y ) ] )
% 6.07/6.45 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 paramod(
% 6.07/6.45 clause( 27255, [ subclass( singleton( X ), Y ), ~( member( X, Y ) ) ] )
% 6.07/6.45 , clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 6.07/6.45 , 0, clause( 27254, [ ~( member( X, Y ) ), subclass( 'unordered_pair'( X, X
% 6.07/6.45 ), Y ) ] )
% 6.07/6.45 , 1, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.07/6.45 :=( Y, Y )] )).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 subsumption(
% 6.07/6.45 clause( 147, [ ~( member( X, Y ) ), subclass( singleton( X ), Y ) ] )
% 6.07/6.45 , clause( 27255, [ subclass( singleton( X ), Y ), ~( member( X, Y ) ) ] )
% 6.07/6.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.07/6.45 ), ==>( 1, 0 )] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 resolution(
% 6.07/6.45 clause( 27256, [ ~( member( x, y ) ) ] )
% 6.07/6.45 , clause( 136, [ ~( subclass( singleton( x ), y ) ) ] )
% 6.07/6.45 , 0, clause( 147, [ ~( member( X, Y ) ), subclass( singleton( X ), Y ) ] )
% 6.07/6.45 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 6.07/6.45 ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 resolution(
% 6.07/6.45 clause( 27257, [] )
% 6.07/6.45 , clause( 27256, [ ~( member( x, y ) ) ] )
% 6.07/6.45 , 0, clause( 135, [ member( x, y ) ] )
% 6.07/6.45 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 subsumption(
% 6.07/6.45 clause( 26818, [] )
% 6.07/6.45 , clause( 27257, [] )
% 6.07/6.45 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 end.
% 6.07/6.45
% 6.07/6.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.07/6.45
% 6.07/6.45 Memory use:
% 6.07/6.45
% 6.07/6.45 space for terms: 450182
% 6.07/6.45 space for clauses: 1211378
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 clauses generated: 81746
% 6.07/6.45 clauses kept: 26819
% 6.07/6.45 clauses selected: 576
% 6.07/6.45 clauses deleted: 2132
% 6.07/6.45 clauses inuse deleted: 92
% 6.07/6.45
% 6.07/6.45 subsentry: 330737
% 6.07/6.45 literals s-matched: 255266
% 6.07/6.45 literals matched: 246076
% 6.07/6.45 full subsumption: 144031
% 6.07/6.45
% 6.07/6.45 checksum: -419709428
% 6.07/6.45
% 6.07/6.45
% 6.07/6.45 Bliksem ended
%------------------------------------------------------------------------------