TSTP Solution File: SET016-7 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 22:45:26 EDT 2022
% Result : Timeout 300.03s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 11 09:28:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.11 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ subclass( X, 'universal_class' ) ],
% 0.72/1.11 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.11 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.11 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.11 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.11 ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.11 ) ) ],
% 0.72/1.11 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.11 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.11 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.11 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 X, Z ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 Y, T ) ],
% 0.72/1.11 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.11 ), 'cross_product'( Y, T ) ) ],
% 0.72/1.11 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.11 ), second( X ) ), X ) ],
% 0.72/1.11 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.72/1.11 Y ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.11 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.11 , Y ), 'element_relation' ) ],
% 0.72/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.11 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.72/1.11 Z ) ) ],
% 0.72/1.11 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.72/1.11 member( X, Y ) ],
% 0.72/1.11 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.72/1.11 union( X, Y ) ) ],
% 0.72/1.11 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.72/1.11 intersection( complement( X ), complement( Y ) ) ) ),
% 0.72/1.11 'symmetric_difference'( X, Y ) ) ],
% 0.72/1.11 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.11 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.72/1.11 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.11 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.72/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.11 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.72/1.11 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.72/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.72/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.72/1.11 Y ), rotate( T ) ) ],
% 0.72/1.11 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.72/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.11 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.72/1.11 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.72/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.72/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.72/1.11 Z ), flip( T ) ) ],
% 0.72/1.11 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.72/1.11 inverse( X ) ) ],
% 0.72/1.11 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.11 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.72/1.11 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.11 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.72/1.11 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.11 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.11 ],
% 0.72/1.11 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.11 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.72/1.11 successor( X ), Y ) ],
% 0.72/1.11 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.72/1.11 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.72/1.11 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.11 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.11 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.72/1.11 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.11 [ inductive( omega ) ],
% 0.72/1.11 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.11 [ member( omega, 'universal_class' ) ],
% 0.72/1.11 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.11 , 'sum_class'( X ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.72/1.11 'universal_class' ) ],
% 0.72/1.11 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.72/1.11 'power_class'( X ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.72/1.11 'universal_class' ) ],
% 0.72/1.11 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.72/1.11 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.11 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.72/1.11 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.11 ) ],
% 0.72/1.11 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.11 , 'identity_relation' ) ],
% 0.72/1.11 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.72/1.11 'single_valued_class'( X ) ],
% 0.72/1.11 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ],
% 0.72/1.11 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.72/1.11 'identity_relation' ) ],
% 0.72/1.11 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.11 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.11 , function( X ) ],
% 0.72/1.11 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.72/1.11 X, Y ), 'universal_class' ) ],
% 0.72/1.11 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.11 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.11 ) ],
% 0.72/1.11 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.11 [ function( choice ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.72/1.11 apply( choice, X ), X ) ],
% 0.72/1.11 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.11 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.11 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.11 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.11 , complement( compose( complement( 'element_relation' ), inverse(
% 0.72/1.11 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.11 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.72/1.11 'identity_relation' ) ],
% 0.72/1.11 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.11 , diagonalise( X ) ) ],
% 0.72/1.11 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.72/1.11 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.11 [ ~( operation( X ) ), function( X ) ],
% 0.72/1.11 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.11 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.11 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.11 'domain_of'( X ) ) ) ],
% 0.72/1.11 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.72/1.11 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.72/1.11 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.72/1.11 X ) ],
% 0.72/1.11 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.72/1.11 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.72/1.11 'domain_of'( X ) ) ],
% 0.72/1.11 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.11 'domain_of'( Z ) ) ) ],
% 0.72/1.11 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.72/1.11 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.72/1.11 ), compatible( X, Y, Z ) ],
% 0.72/1.11 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.72/1.11 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.72/1.11 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.72/1.11 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.72/1.11 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.72/1.11 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.72/1.11 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.11 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.11 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.11 , Y ) ],
% 0.72/1.11 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.11 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.72/1.11 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.72/1.11 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.72/1.11 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 X, 'unordered_pair'( X, Y ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 Y, 'unordered_pair'( X, Y ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 X, 'universal_class' ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.72/1.11 Y, 'universal_class' ) ],
% 0.72/1.11 [ subclass( X, X ) ],
% 0.72/1.11 [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 0.72/1.11 [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member(
% 0.72/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.72/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member(
% 0.72/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.72/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member(
% 0.72/1.11 'not_subclass_element'( Y, X ), Y ) ],
% 0.72/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member(
% 0.72/1.11 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 0.72/1.11 [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 0.72/1.11 [ ~( member( X, 'null_class' ) ) ],
% 0.72/1.11 [ subclass( 'null_class', X ) ],
% 0.72/1.11 [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 0.72/1.11 [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 0.72/1.11 ), X ) ],
% 0.72/1.11 [ member( 'null_class', 'universal_class' ) ],
% 0.72/1.11 [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 0.72/1.11 [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ],
% 0.72/1.11 [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ],
% 0.72/1.11 [ member( X, 'universal_class' ), =( 'unordered_pair'( Y, X ), singleton(
% 0.72/1.11 Y ) ) ],
% 0.72/1.11 [ member( X, 'universal_class' ), =( 'unordered_pair'( X, Y ), singleton(
% 0.72/1.11 Y ) ) ],
% 0.72/1.11 [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 0.72/1.11 'universal_class' ), member( Y, 'universal_class' ) ],
% 0.72/1.11 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z ) ) ), ~(
% 0.72/1.11 member( 'ordered_pair'( Y, Z ), 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ), =( Y, Z ) ],
% 0.72/1.11 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y ) ) ), ~(
% 0.72/1.11 member( 'ordered_pair'( X, Z ), 'cross_product'( 'universal_class',
% 0.72/1.11 'universal_class' ) ) ), =( X, Z ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( X, Y ),
% 0.72/1.11 'null_class' ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( Y, X ),
% 0.72/1.11 'null_class' ) ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), ~( =(
% 0.72/1.11 'unordered_pair'( X, Y ), 'null_class' ) ) ],
% 0.72/1.11 [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass( 'unordered_pair'(
% 0.72/1.11 X, Z ), Y ) ],
% 0.72/1.11 [ member( singleton( X ), 'universal_class' ) ],
% 0.72/1.11 [ member( singleton( X ), 'unordered_pair'( Y, singleton( X ) ) ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( X, singleton( X ) ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), ~( =( singleton( X ),
% 0.72/1.11 'null_class' ) ) ],
% 0.72/1.11 [ member( 'null_class', singleton( 'null_class' ) ) ],
% 0.72/1.11 [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ],
% 0.72/1.11 [ member( X, 'universal_class' ), =( singleton( X ), 'null_class' ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( X,
% 0.72/1.11 'universal_class' ) ), =( X, Y ) ],
% 0.72/1.11 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( Y,
% 0.72/1.11 'universal_class' ) ), =( X, Y ) ],
% 0.72/1.11 [ ~( =( 'unordered_pair'( X, Y ), singleton( Z ) ) ), ~( member( Z,
% 0.72/1.11 'universal_class' ) ), =( Z, X ), =( Z, Y ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), member( 'member_of'( singleton( X
% 0.72/1.11 ) ), 'universal_class' ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), =( singleton( 'member_of'(
% 0.72/1.11 singleton( X ) ) ), singleton( X ) ) ],
% 0.72/1.11 [ member( 'member_of'( X ), 'universal_class' ), =( 'member_of'( X ), X
% 0.72/1.11 ) ],
% 0.72/1.11 [ =( singleton( 'member_of'( X ) ), X ), =( 'member_of'( X ), X ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), =( 'member_of'( singleton( X ) )
% 0.72/1.11 , X ) ],
% 0.72/1.11 [ member( 'member_of1'( X ), 'universal_class' ), =( 'member_of'( X ), X
% 0.72/1.11 ) ],
% 0.72/1.11 [ =( singleton( 'member_of1'( X ) ), X ), =( 'member_of'( X ), X ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ ~( =( singleton( 'member_of'( X ) ), X ) ), member( X,
% 0.72/1.11 'universal_class' ) ],
% 0.72/1.11 [ ~( =( singleton( 'member_of'( X ) ), X ) ), ~( member( Y, X ) ), =(
% 0.72/1.11 'member_of'( X ), Y ) ],
% 0.72/1.11 [ ~( member( X, Y ) ), subclass( singleton( X ), Y ) ],
% 0.72/1.11 [ ~( subclass( X, singleton( Y ) ) ), =( X, 'null_class' ), =( singleton(
% 0.72/1.11 Y ), X ) ],
% 0.72/1.11 [ member( 'not_subclass_element'( intersection( complement( singleton(
% 0.72/1.11 'not_subclass_element'( X, 'null_class' ) ) ), X ), 'null_class' ),
% 0.72/1.11 intersection( complement( singleton( 'not_subclass_element'( X,
% 0.72/1.11 'null_class' ) ) ), X ) ), =( singleton( 'not_subclass_element'( X,
% 0.72/1.11 'null_class' ) ), X ), =( X, 'null_class' ) ],
% 0.72/1.11 [ member( 'not_subclass_element'( intersection( complement( singleton(
% 0.72/1.11 'not_subclass_element'( X, 'null_class' ) ) ), X ), 'null_class' ), X ),
% 0.72/1.11 =( singleton( 'not_subclass_element'( X, 'null_class' ) ), X ), =( X,
% 0.72/1.11 'null_class' ) ],
% 0.72/1.11 [ ~( =( 'not_subclass_element'( intersection( complement( singleton(
% 0.72/1.11 'not_subclass_element'( X, 'null_class' ) ) ), X ), 'null_class' ),
% 0.72/1.11 'not_subclass_element'( X, 'null_class' ) ) ), =( singleton(
% 0.72/1.11 'not_subclass_element'( X, 'null_class' ) ), X ), =( X, 'null_class' ) ]
% 0.72/1.11 ,
% 0.72/1.11 [ =( 'unordered_pair'( X, Y ), union( singleton( X ), singleton( Y ) ) )
% 0.72/1.11 ],
% 0.72/1.11 [ member( 'ordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.11 [ member( singleton( X ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.11 [ member( 'unordered_pair'( X, singleton( Y ) ), 'ordered_pair'( X, Y )
% 0.72/1.11 ) ],
% 0.72/1.11 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, 'null_class'
% 0.72/1.11 ) ), 'ordered_pair'( X, Y ) ), member( Y, 'universal_class' ) ],
% 0.72/1.11 [ ~( member( X, 'universal_class' ) ), =( 'unordered_pair'( 'null_class'
% 0.72/1.11 , singleton( singleton( X ) ) ), 'ordered_pair'( Y, X ) ), member( Y,
% 0.72/1.11 'universal_class' ) ],
% 0.72/1.11 [ =( 'unordered_pair'( 'null_class', singleton( 'null_class' ) ),
% 0.72/1.11 'ordered_pair'( X, Y ) ), member( X, 'universal_class' ), member( Y,
% 0.72/1.11 'universal_class' ) ],
% 0.72/1.11 [ ~( =( 'ordered_pair'( X, Y ), 'ordered_pair'( Z, T ) ) ), ~( member( X
% 0.72/1.11 , 'universal_class' ) ), =( X, Z ) ],
% 0.72/1.11 [ ~( =( 'ordered_pair'( X, Y ), 'ordered_pair'( Z, T ) ) ), ~( member( Y
% 0.72/1.11 , 'universal_class' ) ), =( Y, T ) ],
% 0.72/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.11 , 'universal_class' ) ) ), member( 'ordered_pair'( first( 'ordered_pair'(
% 0.72/1.11 X, Y ) ), second( 'ordered_pair'( X, Y ) ) ), 'cross_product'(
% 0.72/1.11 'universal_class', 'universal_class' ) ) ],
% 0.72/1.11 [ member( 'ordered_pair'( first( X ), second( X ) ), 'cross_product'(
% 0.72/1.11 'universal_class', 'universal_class' ) ), =( first( X ), X ) ],
% 9.24/9.60 [ member( 'ordered_pair'( first( X ), second( X ) ), 'cross_product'(
% 9.24/9.60 'universal_class', 'universal_class' ) ), =( second( X ), X ) ],
% 9.24/9.60 [ =( 'ordered_pair'( first( X ), second( X ) ), X ), =( first( X ), X )
% 9.24/9.60 ],
% 9.24/9.60 [ =( 'ordered_pair'( first( X ), second( X ) ), X ), =( second( X ), X )
% 9.24/9.60 ],
% 9.24/9.60 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 9.24/9.60 , 'universal_class' ) ) ), =( first( 'ordered_pair'( X, Y ) ), X ) ],
% 9.24/9.60 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 9.24/9.60 , 'universal_class' ) ) ), =( second( 'ordered_pair'( X, Y ) ), Y ) ]
% 9.24/9.60 ,
% 9.24/9.60 [ member( 'ordered_pair'( first( X ), second( X ) ), 'cross_product'(
% 9.24/9.60 'universal_class', 'universal_class' ) ), =( first( X ), X ) ],
% 9.24/9.60 [ member( 'ordered_pair'( first( X ), second( X ) ), 'cross_product'(
% 9.24/9.60 'universal_class', 'universal_class' ) ), =( second( X ), X ) ],
% 9.24/9.60 [ =( 'ordered_pair'( first( X ), second( X ) ), X ), =( first( X ), X )
% 9.24/9.60 ],
% 9.24/9.60 [ =( 'ordered_pair'( first( X ), second( X ) ), X ), =( second( X ), X )
% 9.24/9.60 ],
% 9.24/9.60 [ ~( =( 'ordered_pair'( first( X ), second( X ) ), X ) ), member( X,
% 9.24/9.60 'universal_class' ) ],
% 9.24/9.60 [ ~( member( X, 'cross_product'( 'universal_class', 'universal_class' )
% 9.24/9.60 ) ), member( X, 'universal_class' ) ],
% 9.24/9.60 [ =( 'ordered_pair'( w, x ), 'ordered_pair'( y, z ) ) ],
% 9.24/9.60 [ member( w, 'universal_class' ) ],
% 9.24/9.60 [ ~( =( w, y ) ) ]
% 9.24/9.60 ] .
% 9.24/9.60
% 9.24/9.60
% 9.24/9.60 percentage equality = 0.317221, percentage horn = 0.804878
% 9.24/9.60 This is a problem with some equality
% 9.24/9.60
% 9.24/9.60
% 9.24/9.60
% 9.24/9.60 Options Used:
% 9.24/9.60
% 9.24/9.60 useres = 1
% 9.24/9.60 useparamod = 1
% 9.24/9.60 useeqrefl = 1
% 9.24/9.60 useeqfact = 1
% 9.24/9.60 usefactor = 1
% 9.24/9.60 usesimpsplitting = 0
% 9.24/9.60 usesimpdemod = 5
% 9.24/9.60 usesimpres = 3
% 9.24/9.60
% 9.24/9.60 resimpinuse = 1000
% 9.24/9.60 resimpclauses = 20000
% 9.24/9.60 substype = eqrewr
% 9.24/9.60 backwardsubs = 1
% 9.24/9.60 selectoldest = 5
% 9.24/9.60
% 9.24/9.60 litorderings [0] = split
% 9.24/9.60 litorderings [1] = extend the termordering, first sorting on arguments
% 9.24/9.60
% 9.24/9.60 termordering = kbo
% 9.24/9.60
% 9.24/9.60 litapriori = 0
% 9.24/9.60 termapriori = 1
% 9.24/9.60 litaposteriori = 0
% 9.24/9.60 termaposteriori = 0
% 9.24/9.60 demodaposteriori = 0
% 9.24/9.60 ordereqreflfact = 0
% 9.24/9.60
% 9.24/9.60 litselect = negord
% 9.24/9.60
% 9.24/9.60 maxweight = 15
% 9.24/9.60 maxdepth = 30000
% 9.24/9.60 maxlength = 115
% 9.24/9.60 maxnrvars = 195
% 9.24/9.60 excuselevel = 1
% 9.24/9.60 increasemaxweight = 1
% 9.24/9.60
% 9.24/9.60 maxselected = 10000000
% 9.24/9.60 maxnrclauses = 10000000
% 9.24/9.60
% 9.24/9.60 showgenerated = 0
% 9.24/9.60 showkept = 0
% 9.24/9.60 showselected = 0
% 9.24/9.60 showdeleted = 0
% 9.24/9.60 showresimp = 1
% 9.24/9.60 showstatus = 2000
% 9.24/9.60
% 9.24/9.60 prologoutput = 1
% 9.24/9.60 nrgoals = 5000000
% 9.24/9.60 totalproof = 1
% 9.24/9.60
% 9.24/9.60 Symbols occurring in the translation:
% 9.24/9.60
% 9.24/9.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.24/9.60 . [1, 2] (w:1, o:60, a:1, s:1, b:0),
% 9.24/9.60 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 9.24/9.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.24/9.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.24/9.60 subclass [41, 2] (w:1, o:85, a:1, s:1, b:0),
% 9.24/9.60 member [43, 2] (w:1, o:86, a:1, s:1, b:0),
% 9.24/9.60 'not_subclass_element' [44, 2] (w:1, o:87, a:1, s:1, b:0),
% 9.24/9.60 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 9.24/9.60 'unordered_pair' [46, 2] (w:1, o:88, a:1, s:1, b:0),
% 9.24/9.60 singleton [47, 1] (w:1, o:41, a:1, s:1, b:0),
% 9.24/9.60 'ordered_pair' [48, 2] (w:1, o:89, a:1, s:1, b:0),
% 9.24/9.60 'cross_product' [50, 2] (w:1, o:90, a:1, s:1, b:0),
% 9.24/9.60 first [52, 1] (w:1, o:42, a:1, s:1, b:0),
% 9.24/9.60 second [53, 1] (w:1, o:43, a:1, s:1, b:0),
% 9.24/9.60 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 9.24/9.60 intersection [55, 2] (w:1, o:92, a:1, s:1, b:0),
% 9.24/9.60 complement [56, 1] (w:1, o:44, a:1, s:1, b:0),
% 9.24/9.60 union [57, 2] (w:1, o:93, a:1, s:1, b:0),
% 9.24/9.60 'symmetric_difference' [58, 2] (w:1, o:94, a:1, s:1, b:0),
% 9.24/9.60 restrict [60, 3] (w:1, o:97, a:1, s:1, b:0),
% 9.24/9.60 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 9.24/9.60 'domain_of' [62, 1] (w:1, o:46, a:1, s:1, b:0),
% 9.24/9.60 rotate [63, 1] (w:1, o:38, a:1, s:1, b:0),
% 9.24/9.60 flip [65, 1] (w:1, o:47, a:1, s:1, b:0),
% 9.24/9.60 inverse [66, 1] (w:1, o:48, a:1, s:1, b:0),
% 9.24/9.60 'range_of' [67, 1] (w:1, o:39, a:1, s:1, b:0),
% 9.24/9.60 domain [68, 3] (w:1, o:99, a:1, s:1, b:0),
% 9.24/9.60 range [69, 3] (w:1, o:100, a:1, s:1, b:0),
% 114.83/115.24 image [70, 2] (w:1, o:91, a:1, s:1, b:0),
% 114.83/115.24 successor [71, 1] (w:1, o:49, a:1, s:1, b:0),
% 114.83/115.24 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 114.83/115.24 inductive [73, 1] (w:1, o:50, a:1, s:1, b:0),
% 114.83/115.24 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 114.83/115.24 'sum_class' [75, 1] (w:1, o:51, a:1, s:1, b:0),
% 114.83/115.24 'power_class' [76, 1] (w:1, o:54, a:1, s:1, b:0),
% 114.83/115.24 compose [78, 2] (w:1, o:95, a:1, s:1, b:0),
% 114.83/115.24 'single_valued_class' [79, 1] (w:1, o:55, a:1, s:1, b:0),
% 114.83/115.24 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 114.83/115.24 function [82, 1] (w:1, o:56, a:1, s:1, b:0),
% 114.83/115.24 regular [83, 1] (w:1, o:40, a:1, s:1, b:0),
% 114.83/115.24 apply [84, 2] (w:1, o:96, a:1, s:1, b:0),
% 114.83/115.24 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 114.83/115.24 'one_to_one' [86, 1] (w:1, o:52, a:1, s:1, b:0),
% 114.83/115.24 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 114.83/115.24 diagonalise [88, 1] (w:1, o:57, a:1, s:1, b:0),
% 114.83/115.24 cantor [89, 1] (w:1, o:45, a:1, s:1, b:0),
% 114.83/115.24 operation [90, 1] (w:1, o:53, a:1, s:1, b:0),
% 114.83/115.24 compatible [94, 3] (w:1, o:98, a:1, s:1, b:0),
% 114.83/115.24 homomorphism [95, 3] (w:1, o:101, a:1, s:1, b:0),
% 114.83/115.24 'not_homomorphism1' [96, 3] (w:1, o:102, a:1, s:1, b:0),
% 114.83/115.24 'not_homomorphism2' [97, 3] (w:1, o:103, a:1, s:1, b:0),
% 114.83/115.24 'member_of' [98, 1] (w:1, o:58, a:1, s:1, b:0),
% 114.83/115.24 'member_of1' [99, 1] (w:1, o:59, a:1, s:1, b:0),
% 114.83/115.24 w [100, 0] (w:1, o:29, a:1, s:1, b:0),
% 114.83/115.24 x [101, 0] (w:1, o:30, a:1, s:1, b:0),
% 114.83/115.24 y [102, 0] (w:1, o:31, a:1, s:1, b:0),
% 114.83/115.24 z [103, 0] (w:1, o:32, a:1, s:1, b:0).
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Starting Search:
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 3857
% 114.83/115.24 Kept: 2021
% 114.83/115.24 Inuse: 117
% 114.83/115.24 Deleted: 2
% 114.83/115.24 Deletedinuse: 2
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 9570
% 114.83/115.24 Kept: 4269
% 114.83/115.24 Inuse: 201
% 114.83/115.24 Deleted: 8
% 114.83/115.24 Deletedinuse: 8
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 14663
% 114.83/115.24 Kept: 6306
% 114.83/115.24 Inuse: 279
% 114.83/115.24 Deleted: 47
% 114.83/115.24 Deletedinuse: 45
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 20747
% 114.83/115.24 Kept: 8328
% 114.83/115.24 Inuse: 330
% 114.83/115.24 Deleted: 55
% 114.83/115.24 Deletedinuse: 50
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 28849
% 114.83/115.24 Kept: 10953
% 114.83/115.24 Inuse: 396
% 114.83/115.24 Deleted: 70
% 114.83/115.24 Deletedinuse: 55
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 38594
% 114.83/115.24 Kept: 13104
% 114.83/115.24 Inuse: 445
% 114.83/115.24 Deleted: 83
% 114.83/115.24 Deletedinuse: 67
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 46031
% 114.83/115.24 Kept: 15131
% 114.83/115.24 Inuse: 487
% 114.83/115.24 Deleted: 85
% 114.83/115.24 Deletedinuse: 68
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 49286
% 114.83/115.24 Kept: 17140
% 114.83/115.24 Inuse: 492
% 114.83/115.24 Deleted: 88
% 114.83/115.24 Deletedinuse: 71
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 63345
% 114.83/115.24 Kept: 21210
% 114.83/115.24 Inuse: 504
% 114.83/115.24 Deleted: 89
% 114.83/115.24 Deletedinuse: 72
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying clauses:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 71111
% 114.83/115.24 Kept: 23235
% 114.83/115.24 Inuse: 541
% 114.83/115.24 Deleted: 2065
% 114.83/115.24 Deletedinuse: 84
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 82486
% 114.83/115.24 Kept: 25247
% 114.83/115.24 Inuse: 570
% 114.83/115.24 Deleted: 2070
% 114.83/115.24 Deletedinuse: 84
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 93130
% 114.83/115.24 Kept: 28804
% 114.83/115.24 Inuse: 577
% 114.83/115.24 Deleted: 2071
% 114.83/115.24 Deletedinuse: 85
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 104108
% 114.83/115.24 Kept: 32333
% 114.83/115.24 Inuse: 613
% 114.83/115.24 Deleted: 2076
% 114.83/115.24 Deletedinuse: 86
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 110382
% 114.83/115.24 Kept: 34463
% 114.83/115.24 Inuse: 618
% 114.83/115.24 Deleted: 2076
% 114.83/115.24 Deletedinuse: 86
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24 Resimplifying inuse:
% 114.83/115.24 Done
% 114.83/115.24
% 114.83/115.24
% 114.83/115.24 Intermediate Status:
% 114.83/115.24 Generated: 119408
% 114.83/115.24 Kept: 36664
% 114.83/115.24 Inuse: 667
% 114.83/115.24 Deleted: 2077
% 114.83/115.24 Deletedinuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------