TSTP Solution File: NUM261-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM261-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 06:20:56 EDT 2022
% Result : Timeout 300.03s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM261-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jul 5 08:48:52 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.80/1.18 *** allocated 10000 integers for termspace/termends
% 0.80/1.18 *** allocated 10000 integers for clauses
% 0.80/1.18 *** allocated 10000 integers for justifications
% 0.80/1.18 Bliksem 1.12
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Automatic Strategy Selection
% 0.80/1.18
% 0.80/1.18 Clauses:
% 0.80/1.18 [
% 0.80/1.18 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.80/1.18 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.80/1.18 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ subclass( X, 'universal_class' ) ],
% 0.80/1.18 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.80/1.18 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.80/1.18 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.80/1.18 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.80/1.18 ) ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.80/1.18 ) ) ],
% 0.80/1.18 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.80/1.18 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.80/1.18 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.80/1.18 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.80/1.18 X, Z ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.80/1.18 Y, T ) ],
% 0.80/1.18 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.80/1.18 ), 'cross_product'( Y, T ) ) ],
% 0.80/1.18 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.80/1.18 ), second( X ) ), X ) ],
% 0.80/1.18 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.80/1.18 Y ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.80/1.18 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.80/1.18 , Y ), 'element_relation' ) ],
% 0.80/1.18 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.80/1.18 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.80/1.18 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.80/1.18 Z ) ) ],
% 0.80/1.18 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.80/1.18 member( X, Y ) ],
% 0.80/1.18 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.80/1.18 union( X, Y ) ) ],
% 0.80/1.18 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.80/1.18 intersection( complement( X ), complement( Y ) ) ) ),
% 0.80/1.18 'symmetric_difference'( X, Y ) ) ],
% 0.80/1.18 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.80/1.18 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.80/1.18 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.80/1.18 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.80/1.18 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.80/1.18 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.80/1.18 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.80/1.18 'cross_product'( 'universal_class', 'universal_class' ),
% 0.80/1.18 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.80/1.18 Y ), rotate( T ) ) ],
% 0.80/1.18 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.80/1.18 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.80/1.18 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.80/1.18 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.80/1.18 'cross_product'( 'universal_class', 'universal_class' ),
% 0.80/1.18 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.80/1.18 Z ), flip( T ) ) ],
% 0.80/1.18 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.80/1.18 inverse( X ) ) ],
% 0.80/1.18 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.80/1.18 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.80/1.18 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.80/1.18 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.80/1.18 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.80/1.18 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.80/1.18 ],
% 0.80/1.18 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.80/1.18 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.80/1.18 successor( X ), Y ) ],
% 0.80/1.18 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.80/1.18 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.80/1.18 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.80/1.18 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.80/1.18 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.80/1.18 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.80/1.18 [ inductive( omega ) ],
% 0.80/1.18 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.80/1.18 [ member( omega, 'universal_class' ) ],
% 0.80/1.18 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.80/1.18 , 'sum_class'( X ) ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.80/1.18 'universal_class' ) ],
% 0.80/1.18 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.80/1.18 'power_class'( X ) ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.80/1.18 'universal_class' ) ],
% 0.80/1.18 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.80/1.18 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.80/1.18 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.80/1.18 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.80/1.18 ) ],
% 0.80/1.18 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.80/1.18 , 'identity_relation' ) ],
% 0.80/1.18 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.80/1.18 'single_valued_class'( X ) ],
% 0.80/1.18 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.80/1.18 'identity_relation' ) ],
% 0.80/1.18 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.80/1.18 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.80/1.18 , function( X ) ],
% 0.80/1.18 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.80/1.18 X, Y ), 'universal_class' ) ],
% 0.80/1.18 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.80/1.18 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.80/1.18 ) ],
% 0.80/1.18 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.80/1.18 [ function( choice ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.80/1.18 apply( choice, X ), X ) ],
% 0.80/1.18 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.80/1.18 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.80/1.18 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.80/1.18 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.80/1.18 , complement( compose( complement( 'element_relation' ), inverse(
% 0.80/1.18 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.80/1.18 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.80/1.18 'identity_relation' ) ],
% 0.80/1.18 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.80/1.18 , diagonalise( X ) ) ],
% 0.80/1.18 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.80/1.18 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.80/1.18 [ ~( operation( X ) ), function( X ) ],
% 0.80/1.18 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.80/1.18 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.80/1.18 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.80/1.18 'domain_of'( X ) ) ) ],
% 0.80/1.18 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.80/1.18 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.80/1.18 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.80/1.18 X ) ],
% 0.80/1.18 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.80/1.18 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.80/1.18 'domain_of'( X ) ) ],
% 0.80/1.18 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.80/1.18 'domain_of'( Z ) ) ) ],
% 0.80/1.18 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.80/1.18 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.80/1.18 ), compatible( X, Y, Z ) ],
% 0.80/1.18 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.80/1.18 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.80/1.18 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.80/1.18 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.80/1.18 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.80/1.18 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.80/1.18 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.80/1.18 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.80/1.18 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.80/1.18 , Y ) ],
% 0.80/1.18 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.80/1.18 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.80/1.18 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.80/1.18 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.80/1.18 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.80/1.18 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.80/1.18 compose( Z, X ), Y ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.80/1.18 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.80/1.18 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.80/1.18 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.80/1.18 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.80/1.18 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.80/1.18 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.80/1.18 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.80/1.18 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.80/1.18 'domain_of'( X ), Y ) ],
% 0.80/1.18 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.80/1.18 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.80/1.18 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.80/1.18 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.80/1.18 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.80/1.18 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.80/1.18 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.80/1.18 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.80/1.18 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.80/1.18 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.80/1.18 ,
% 0.80/1.18 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.80/1.18 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.80/1.18 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.80/1.18 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.80/1.18 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.80/1.18 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.80/1.18 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.80/1.18 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.80/1.18 'application_function' ) ],
% 0.80/1.18 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.80/1.18 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.80/1.18 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 0.80/1.18 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 0.80/1.18 'domain_of'( X ), Y ) ],
% 0.80/1.18 [ =( union( X, inverse( X ) ), 'symmetrization_of'( X ) ) ],
% 0.80/1.18 [ ~( irreflexive( X, Y ) ), subclass( restrict( X, Y, Y ), complement(
% 0.80/1.18 'identity_relation' ) ) ],
% 0.80/1.18 [ ~( subclass( restrict( X, Y, Y ), complement( 'identity_relation' ) )
% 0.80/1.18 ), irreflexive( X, Y ) ],
% 0.80/1.18 [ ~( connected( X, Y ) ), subclass( 'cross_product'( Y, Y ), union(
% 0.80/1.18 'identity_relation', 'symmetrization_of'( X ) ) ) ],
% 0.80/1.18 [ ~( subclass( 'cross_product'( X, X ), union( 'identity_relation',
% 0.80/1.18 'symmetrization_of'( Y ) ) ) ), connected( Y, X ) ],
% 0.80/1.18 [ ~( transitive( X, Y ) ), subclass( compose( restrict( X, Y, Y ),
% 0.80/1.18 restrict( X, Y, Y ) ), restrict( X, Y, Y ) ) ],
% 0.80/1.18 [ ~( subclass( compose( restrict( X, Y, Y ), restrict( X, Y, Y ) ),
% 0.80/1.18 restrict( X, Y, Y ) ) ), transitive( X, Y ) ],
% 0.80/1.18 [ ~( asymmetric( X, Y ) ), =( restrict( intersection( X, inverse( X ) )
% 0.80/1.18 , Y, Y ), 'null_class' ) ],
% 0.80/1.18 [ ~( =( restrict( intersection( X, inverse( X ) ), Y, Y ), 'null_class'
% 0.80/1.18 ) ), asymmetric( X, Y ) ],
% 0.80/1.18 [ =( segment( X, Y, Z ), 'domain_of'( restrict( X, Y, singleton( Z ) ) )
% 0.80/1.18 ) ],
% 0.80/1.18 [ ~( 'well_ordering'( X, Y ) ), connected( X, Y ) ],
% 0.80/1.18 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( Z,
% 0.80/1.18 'null_class' ), member( least( X, Z ), Z ) ],
% 0.80/1.18 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.80/1.18 ), member( least( X, Z ), Z ) ],
% 0.80/1.18 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( segment( X, Z
% 0.80/1.18 , least( X, Z ) ), 'null_class' ) ],
% 0.80/1.18 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.80/1.18 ), ~( member( 'ordered_pair'( T, least( X, Z ) ), X ) ) ],
% 0.80/1.18 [ ~( connected( X, Y ) ), ~( =( 'not_well_ordering'( X, Y ),
% 0.80/1.18 'null_class' ) ), 'well_ordering'( X, Y ) ],
% 0.80/1.18 [ ~( connected( X, Y ) ), subclass( 'not_well_ordering'( X, Y ), Y ),
% 0.80/1.18 'well_ordering'( X, Y ) ],
% 0.80/1.18 [ ~( member( X, 'not_well_ordering'( Y, Z ) ) ), ~( =( segment( Y,
% 0.80/1.19 'not_well_ordering'( Y, Z ), X ), 'null_class' ) ), ~( connected( Y, Z )
% 0.80/1.19 ), 'well_ordering'( Y, Z ) ],
% 0.80/1.19 [ ~( section( X, Y, Z ) ), subclass( Y, Z ) ],
% 0.80/1.19 [ ~( section( X, Y, Z ) ), subclass( 'domain_of'( restrict( X, Z, Y ) )
% 0.80/1.19 , Y ) ],
% 0.80/1.19 [ ~( subclass( X, Y ) ), ~( subclass( 'domain_of'( restrict( Z, Y, X ) )
% 0.80/1.19 , X ) ), section( Z, X, Y ) ],
% 0.80/1.19 [ ~( member( X, 'ordinal_numbers' ) ), 'well_ordering'(
% 0.80/1.19 'element_relation', X ) ],
% 0.80/1.19 [ ~( member( X, 'ordinal_numbers' ) ), subclass( 'sum_class'( X ), X ) ]
% 0.80/1.19 ,
% 0.80/1.19 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.80/1.19 'sum_class'( X ), X ) ), ~( member( X, 'universal_class' ) ), member( X,
% 0.80/1.19 'ordinal_numbers' ) ],
% 0.80/1.19 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.80/1.19 'sum_class'( X ), X ) ), member( X, 'ordinal_numbers' ), =( X,
% 0.80/1.19 'ordinal_numbers' ) ],
% 0.80/1.19 [ =( union( singleton( 'null_class' ), image( 'successor_relation',
% 0.80/1.19 'ordinal_numbers' ) ), 'kind_1_ordinals' ) ],
% 0.80/1.19 [ =( intersection( complement( 'kind_1_ordinals' ), 'ordinal_numbers' )
% 0.80/1.19 , 'limit_ordinals' ) ],
% 0.80/1.19 [ subclass( 'rest_of'( X ), 'cross_product'( 'universal_class',
% 0.80/1.19 'universal_class' ) ) ],
% 0.80/1.19 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), member( X,
% 0.80/1.19 'domain_of'( Z ) ) ],
% 0.80/1.19 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), =( restrict( Z
% 0.80/1.19 , X, 'universal_class' ), Y ) ],
% 0.80/1.19 [ ~( member( X, 'domain_of'( Y ) ) ), ~( =( restrict( Y, X,
% 0.80/1.19 'universal_class' ), Z ) ), member( 'ordered_pair'( X, Z ), 'rest_of'( Y
% 0.80/1.19 ) ) ],
% 0.80/1.19 [ subclass( 'rest_relation', 'cross_product'( 'universal_class',
% 0.80/1.19 'universal_class' ) ) ],
% 0.80/1.19 [ ~( member( 'ordered_pair'( X, Y ), 'rest_relation' ) ), =( 'rest_of'(
% 0.80/1.19 X ), Y ) ],
% 0.80/1.19 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.80/1.19 'rest_of'( X ) ), 'rest_relation' ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( Y ) ]
% 0.80/1.19 ,
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( X ) ]
% 0.80/1.19 ,
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), member(
% 0.80/1.19 'domain_of'( X ), 'ordinal_numbers' ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), =( compose( Y,
% 0.80/1.19 'rest_of'( X ) ), X ) ],
% 0.80/1.19 [ ~( function( X ) ), ~( function( Y ) ), ~( member( 'domain_of'( Y ),
% 0.80/1.19 'ordinal_numbers' ) ), ~( =( compose( X, 'rest_of'( Y ) ), Y ) ), member(
% 0.80/1.19 Y, 'recursion_equation_functions'( X ) ) ],
% 0.80/1.19 [ subclass( 'union_of_range_map', 'cross_product'( 'universal_class',
% 0.80/1.19 'universal_class' ) ) ],
% 0.80/1.19 [ ~( member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ), =(
% 0.80/1.19 'sum_class'( 'range_of'( X ) ), Y ) ],
% 0.80/1.19 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.80/1.19 , 'universal_class' ) ) ), ~( =( 'sum_class'( 'range_of'( X ) ), Y ) ),
% 0.80/1.19 member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ],
% 0.80/1.19 [ =( apply( recursion( X, 'successor_relation', 'union_of_range_map' ),
% 0.80/1.19 Y ), 'ordinal_add'( X, Y ) ) ],
% 0.80/1.19 [ =( recursion( 'null_class', apply( 'add_relation', X ),
% 0.80/1.19 'union_of_range_map' ), 'ordinal_multiply'( X, Y ) ) ],
% 0.80/1.19 [ ~( member( X, omega ) ), =( 'integer_of'( X ), X ) ],
% 0.80/1.19 [ member( X, omega ), =( 'integer_of'( X ), 'null_class' ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), subclass( 'domain_of'(
% 0.80/1.19 intersection( complement( Z ), X ) ), 'ordinal_numbers' ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.80/1.19 ), X ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.80/1.19 intersection( complement( Z ), X ) ) ) ) ), member( 'ordered_pair'( T, U
% 0.80/1.19 ), Z ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.80/1.19 ), Z ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.80/1.19 intersection( complement( Z ), X ) ) ) ) ), subclass( X, Z ), member(
% 0.80/1.19 'ordered_pair'( T, U ), X ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), subclass( X, Z ), =( restrict( X
% 0.80/1.19 , least( 'element_relation', 'domain_of'( intersection( complement( Z ),
% 0.80/1.19 X ) ) ), 'universal_class' ), restrict( Z, least( 'element_relation',
% 0.80/1.19 'domain_of'( intersection( complement( Z ), X ) ) ), 'universal_class' )
% 0.80/1.19 ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.80/1.19 'domain_of'( Z ) ) ), subclass( X, Z ), =( apply( Z, least(
% 0.80/1.19 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ) )
% 0.80/1.19 , apply( X, least( 'element_relation', 'domain_of'( intersection(
% 0.80/1.19 complement( Z ), X ) ) ) ) ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.80/1.19 'domain_of'( Z ) ) ), subclass( X, Z ), member( 'ordered_pair'( least(
% 0.80/1.19 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ),
% 0.80/1.19 apply( Z, least( 'element_relation', 'domain_of'( intersection(
% 0.80/1.19 complement( Z ), X ) ) ) ) ), Z ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.80/1.19 'domain_of'( Z ) ) ), subclass( X, Z ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), member( union( X, Z ),
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), function( union( X, Z ) ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.80/1.19 'domain_of'( Z ) ) ), ~( member( T, 'domain_of'( X ) ) ), =( restrict( X
% 0.80/1.19 , T, 'universal_class' ), restrict( Z, T, 'universal_class' ) ) ],
% 0.80/1.19 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.80/1.19 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.83/1.25 'domain_of'( Z ) ) ), subclass( 'rest_of'( X ), 'rest_of'( Z ) ) ],
% 0.83/1.25 [ ~( member( X, 'universal_class' ) ), =( image( image(
% 0.83/1.25 'composition_function', singleton( X ) ), image( 'rest_relation',
% 0.83/1.25 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.83/1.25 X ) ) ],
% 0.83/1.25 [ =( image( comp( X ), image( 'rest_relation',
% 0.83/1.25 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.83/1.25 X ) ) ],
% 0.83/1.25 [ ~( function( X ) ), ~( function( Y ) ), ~( =( 'domain_of'( X ),
% 0.83/1.25 'ordinal_numbers' ) ), ~( =( 'domain_of'( Y ), 'ordinal_numbers' ) ), =(
% 0.83/1.25 X, Y ), =( restrict( X, least( 'element_relation', 'domain_of'(
% 0.83/1.25 intersection( complement( X ), Y ) ) ), 'universal_class' ), restrict( Y
% 0.83/1.25 , least( 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.83/1.25 Y ) ) ), 'universal_class' ) ) ],
% 0.83/1.25 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.83/1.25 'domain_of'( X ), 'ordinal_numbers' ) ), subclass( 'sum_class'(
% 0.83/1.25 'recursion_equation_functions'( Y ) ), X ), =( apply( 'sum_class'(
% 0.83/1.25 'recursion_equation_functions'( Y ) ), least( 'element_relation',
% 0.83/1.25 'domain_of'( intersection( complement( X ), 'sum_class'(
% 0.83/1.25 'recursion_equation_functions'( Y ) ) ) ) ) ), apply( X, least(
% 0.83/1.25 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.83/1.25 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ) ],
% 0.83/1.25 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.83/1.25 'domain_of'( X ), 'ordinal_numbers' ) ), ~( member( 'ordered_pair'( least(
% 0.83/1.25 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.83/1.25 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ), apply(
% 0.83/1.25 'sum_class'( 'recursion_equation_functions'( Y ) ), least(
% 0.83/1.25 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.83/1.25 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ),
% 0.83/1.25 intersection( complement( X ), 'sum_class'(
% 0.83/1.25 'recursion_equation_functions'( Y ) ) ) ) ), subclass( 'sum_class'(
% 0.83/1.25 'recursion_equation_functions'( Y ) ), X ) ],
% 0.83/1.25 [ ~( =( 'domain_of'( recursion( x, y, z ) ), 'ordinal_numbers' ) ) ]
% 0.83/1.25 ] .
% 0.83/1.25
% 0.83/1.25
% 0.83/1.25 percentage equality = 0.221080, percentage horn = 0.897143
% 0.83/1.25 This is a problem with some equality
% 0.83/1.25
% 0.83/1.25
% 0.83/1.25
% 0.83/1.25 Options Used:
% 0.83/1.25
% 0.83/1.25 useres = 1
% 0.83/1.25 useparamod = 1
% 0.83/1.25 useeqrefl = 1
% 0.83/1.25 useeqfact = 1
% 0.83/1.25 usefactor = 1
% 0.83/1.25 usesimpsplitting = 0
% 0.83/1.25 usesimpdemod = 5
% 0.83/1.25 usesimpres = 3
% 0.83/1.25
% 0.83/1.25 resimpinuse = 1000
% 0.83/1.25 resimpclauses = 20000
% 0.83/1.25 substype = eqrewr
% 0.83/1.25 backwardsubs = 1
% 0.83/1.25 selectoldest = 5
% 0.83/1.25
% 0.83/1.25 litorderings [0] = split
% 0.83/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.25
% 0.83/1.25 termordering = kbo
% 0.83/1.25
% 0.83/1.25 litapriori = 0
% 0.83/1.25 termapriori = 1
% 0.83/1.25 litaposteriori = 0
% 0.83/1.25 termaposteriori = 0
% 0.83/1.25 demodaposteriori = 0
% 0.83/1.25 ordereqreflfact = 0
% 0.83/1.25
% 0.83/1.25 litselect = negord
% 0.83/1.25
% 0.83/1.25 maxweight = 15
% 0.83/1.25 maxdepth = 30000
% 0.83/1.25 maxlength = 115
% 0.83/1.25 maxnrvars = 195
% 0.83/1.25 excuselevel = 1
% 0.83/1.25 increasemaxweight = 1
% 0.83/1.25
% 0.83/1.25 maxselected = 10000000
% 0.83/1.25 maxnrclauses = 10000000
% 0.83/1.25
% 0.83/1.25 showgenerated = 0
% 0.83/1.25 showkept = 0
% 0.83/1.25 showselected = 0
% 0.83/1.25 showdeleted = 0
% 0.83/1.25 showresimp = 1
% 0.83/1.25 showstatus = 2000
% 0.83/1.25
% 0.83/1.25 prologoutput = 1
% 0.83/1.25 nrgoals = 5000000
% 0.83/1.25 totalproof = 1
% 0.83/1.25
% 0.83/1.25 Symbols occurring in the translation:
% 0.83/1.25
% 0.83/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.25 . [1, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.83/1.25 ! [4, 1] (w:0, o:42, a:1, s:1, b:0),
% 0.83/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.25 subclass [41, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.83/1.25 member [43, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.83/1.25 'not_subclass_element' [44, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.83/1.25 'universal_class' [45, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.25 'unordered_pair' [46, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.83/1.25 singleton [47, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.83/1.25 'ordered_pair' [48, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.83/1.25 'cross_product' [50, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.83/1.25 first [52, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.83/1.25 second [53, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.83/1.25 'element_relation' [54, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.83/1.25 intersection [55, 2] (w:1, o:111, a:1, s:1, b:0),
% 10.45/10.82 complement [56, 1] (w:1, o:55, a:1, s:1, b:0),
% 10.45/10.82 union [57, 2] (w:1, o:112, a:1, s:1, b:0),
% 10.45/10.82 'symmetric_difference' [58, 2] (w:1, o:113, a:1, s:1, b:0),
% 10.45/10.82 restrict [60, 3] (w:1, o:122, a:1, s:1, b:0),
% 10.45/10.82 'null_class' [61, 0] (w:1, o:30, a:1, s:1, b:0),
% 10.45/10.82 'domain_of' [62, 1] (w:1, o:59, a:1, s:1, b:0),
% 10.45/10.82 rotate [63, 1] (w:1, o:47, a:1, s:1, b:0),
% 10.45/10.82 flip [65, 1] (w:1, o:60, a:1, s:1, b:0),
% 10.45/10.82 inverse [66, 1] (w:1, o:61, a:1, s:1, b:0),
% 10.45/10.82 'range_of' [67, 1] (w:1, o:48, a:1, s:1, b:0),
% 10.45/10.82 domain [68, 3] (w:1, o:124, a:1, s:1, b:0),
% 10.45/10.82 range [69, 3] (w:1, o:125, a:1, s:1, b:0),
% 10.45/10.82 image [70, 2] (w:1, o:110, a:1, s:1, b:0),
% 10.45/10.82 successor [71, 1] (w:1, o:62, a:1, s:1, b:0),
% 10.45/10.82 'successor_relation' [72, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.45/10.82 inductive [73, 1] (w:1, o:63, a:1, s:1, b:0),
% 10.45/10.82 omega [74, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.45/10.82 'sum_class' [75, 1] (w:1, o:64, a:1, s:1, b:0),
% 10.45/10.82 'power_class' [76, 1] (w:1, o:67, a:1, s:1, b:0),
% 10.45/10.82 compose [78, 2] (w:1, o:114, a:1, s:1, b:0),
% 10.45/10.82 'single_valued_class' [79, 1] (w:1, o:68, a:1, s:1, b:0),
% 10.45/10.82 'identity_relation' [80, 0] (w:1, o:31, a:1, s:1, b:0),
% 10.45/10.82 function [82, 1] (w:1, o:69, a:1, s:1, b:0),
% 10.45/10.82 regular [83, 1] (w:1, o:49, a:1, s:1, b:0),
% 10.45/10.82 apply [84, 2] (w:1, o:115, a:1, s:1, b:0),
% 10.45/10.82 choice [85, 0] (w:1, o:32, a:1, s:1, b:0),
% 10.45/10.82 'one_to_one' [86, 1] (w:1, o:65, a:1, s:1, b:0),
% 10.45/10.82 'subset_relation' [87, 0] (w:1, o:6, a:1, s:1, b:0),
% 10.45/10.82 diagonalise [88, 1] (w:1, o:70, a:1, s:1, b:0),
% 10.45/10.82 cantor [89, 1] (w:1, o:56, a:1, s:1, b:0),
% 10.45/10.82 operation [90, 1] (w:1, o:66, a:1, s:1, b:0),
% 10.45/10.82 compatible [94, 3] (w:1, o:123, a:1, s:1, b:0),
% 10.45/10.82 homomorphism [95, 3] (w:1, o:126, a:1, s:1, b:0),
% 10.45/10.82 'not_homomorphism1' [96, 3] (w:1, o:128, a:1, s:1, b:0),
% 10.45/10.82 'not_homomorphism2' [97, 3] (w:1, o:129, a:1, s:1, b:0),
% 10.45/10.82 'compose_class' [98, 1] (w:1, o:57, a:1, s:1, b:0),
% 10.45/10.82 'composition_function' [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 10.45/10.82 'domain_relation' [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 10.45/10.82 'single_valued1' [101, 1] (w:1, o:71, a:1, s:1, b:0),
% 10.45/10.82 'single_valued2' [102, 1] (w:1, o:72, a:1, s:1, b:0),
% 10.45/10.82 'single_valued3' [103, 1] (w:1, o:73, a:1, s:1, b:0),
% 10.45/10.82 'singleton_relation' [104, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.45/10.82 'application_function' [105, 0] (w:1, o:34, a:1, s:1, b:0),
% 10.45/10.82 maps [106, 3] (w:1, o:127, a:1, s:1, b:0),
% 10.45/10.82 'symmetrization_of' [107, 1] (w:1, o:74, a:1, s:1, b:0),
% 10.45/10.82 irreflexive [108, 2] (w:1, o:116, a:1, s:1, b:0),
% 10.45/10.82 connected [109, 2] (w:1, o:117, a:1, s:1, b:0),
% 10.45/10.82 transitive [110, 2] (w:1, o:105, a:1, s:1, b:0),
% 10.45/10.82 asymmetric [111, 2] (w:1, o:118, a:1, s:1, b:0),
% 10.45/10.82 segment [112, 3] (w:1, o:131, a:1, s:1, b:0),
% 10.45/10.82 'well_ordering' [113, 2] (w:1, o:119, a:1, s:1, b:0),
% 10.45/10.82 least [114, 2] (w:1, o:102, a:1, s:1, b:0),
% 10.45/10.82 'not_well_ordering' [115, 2] (w:1, o:107, a:1, s:1, b:0),
% 10.45/10.82 section [116, 3] (w:1, o:132, a:1, s:1, b:0),
% 10.45/10.82 'ordinal_numbers' [117, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.45/10.82 'kind_1_ordinals' [118, 0] (w:1, o:35, a:1, s:1, b:0),
% 10.45/10.82 'limit_ordinals' [119, 0] (w:1, o:36, a:1, s:1, b:0),
% 10.45/10.82 'rest_of' [120, 1] (w:1, o:50, a:1, s:1, b:0),
% 10.45/10.82 'rest_relation' [121, 0] (w:1, o:5, a:1, s:1, b:0),
% 10.45/10.82 'recursion_equation_functions' [122, 1] (w:1, o:51, a:1, s:1, b:0),
% 10.45/10.82 'union_of_range_map' [123, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.45/10.82 recursion [124, 3] (w:1, o:130, a:1, s:1, b:0),
% 10.45/10.82 'ordinal_add' [125, 2] (w:1, o:120, a:1, s:1, b:0),
% 10.45/10.82 'add_relation' [126, 0] (w:1, o:38, a:1, s:1, b:0),
% 10.45/10.82 'ordinal_multiply' [127, 2] (w:1, o:121, a:1, s:1, b:0),
% 10.45/10.82 'integer_of' [128, 1] (w:1, o:75, a:1, s:1, b:0),
% 10.45/10.82 comp [129, 1] (w:1, o:58, a:1, s:1, b:0),
% 10.45/10.82 x [130, 0] (w:1, o:39, a:1, s:1, b:0),
% 10.45/10.82 y [131, 0] (w:1, o:40, a:1, s:1, b:0),
% 10.45/10.82 z [132, 0] (w:1, o:41, a:1, s:1, b:0).
% 10.45/10.82
% 10.45/10.82
% 10.45/10.82 Starting Search:
% 10.45/10.82
% 10.45/10.82 Resimplifying inuse:
% 10.45/10.82 Done
% 10.45/10.82
% 10.45/10.82
% 10.45/10.82 Intermediate Status:
% 10.45/10.82 Generated: 5256
% 10.45/10.82 Kept: 2005
% 167.01/167.40 Inuse: 108
% 167.01/167.40 Deleted: 8
% 167.01/167.40 Deletedinuse: 2
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 9916
% 167.01/167.40 Kept: 4033
% 167.01/167.40 Inuse: 188
% 167.01/167.40 Deleted: 31
% 167.01/167.40 Deletedinuse: 18
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 13893
% 167.01/167.40 Kept: 6053
% 167.01/167.40 Inuse: 247
% 167.01/167.40 Deleted: 37
% 167.01/167.40 Deletedinuse: 20
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 18867
% 167.01/167.40 Kept: 8082
% 167.01/167.40 Inuse: 294
% 167.01/167.40 Deleted: 72
% 167.01/167.40 Deletedinuse: 45
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 23565
% 167.01/167.40 Kept: 10166
% 167.01/167.40 Inuse: 354
% 167.01/167.40 Deleted: 96
% 167.01/167.40 Deletedinuse: 69
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 27125
% 167.01/167.40 Kept: 12193
% 167.01/167.40 Inuse: 384
% 167.01/167.40 Deleted: 101
% 167.01/167.40 Deletedinuse: 74
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 31113
% 167.01/167.40 Kept: 14218
% 167.01/167.40 Inuse: 421
% 167.01/167.40 Deleted: 102
% 167.01/167.40 Deletedinuse: 75
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 34521
% 167.01/167.40 Kept: 16226
% 167.01/167.40 Inuse: 451
% 167.01/167.40 Deleted: 102
% 167.01/167.40 Deletedinuse: 75
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 39757
% 167.01/167.40 Kept: 18232
% 167.01/167.40 Inuse: 500
% 167.01/167.40 Deleted: 104
% 167.01/167.40 Deletedinuse: 76
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying clauses:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 45172
% 167.01/167.40 Kept: 20248
% 167.01/167.40 Inuse: 544
% 167.01/167.40 Deleted: 2651
% 167.01/167.40 Deletedinuse: 80
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 49881
% 167.01/167.40 Kept: 22547
% 167.01/167.40 Inuse: 573
% 167.01/167.40 Deleted: 2654
% 167.01/167.40 Deletedinuse: 83
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 53928
% 167.01/167.40 Kept: 24553
% 167.01/167.40 Inuse: 601
% 167.01/167.40 Deleted: 2654
% 167.01/167.40 Deletedinuse: 83
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 57386
% 167.01/167.40 Kept: 26598
% 167.01/167.40 Inuse: 617
% 167.01/167.40 Deleted: 2656
% 167.01/167.40 Deletedinuse: 85
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 64078
% 167.01/167.40 Kept: 28747
% 167.01/167.40 Inuse: 652
% 167.01/167.40 Deleted: 2659
% 167.01/167.40 Deletedinuse: 87
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 69661
% 167.01/167.40 Kept: 30750
% 167.01/167.40 Inuse: 689
% 167.01/167.40 Deleted: 2660
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 80317
% 167.01/167.40 Kept: 32789
% 167.01/167.40 Inuse: 701
% 167.01/167.40 Deleted: 2663
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 85334
% 167.01/167.40 Kept: 35872
% 167.01/167.40 Inuse: 709
% 167.01/167.40 Deleted: 2663
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 92727
% 167.01/167.40 Kept: 38480
% 167.01/167.40 Inuse: 714
% 167.01/167.40 Deleted: 2663
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 99897
% 167.01/167.40 Kept: 40929
% 167.01/167.40 Inuse: 719
% 167.01/167.40 Deleted: 2663
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying clauses:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 105664
% 167.01/167.40 Kept: 42956
% 167.01/167.40 Inuse: 757
% 167.01/167.40 Deleted: 3893
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 112506
% 167.01/167.40 Kept: 44995
% 167.01/167.40 Inuse: 796
% 167.01/167.40 Deleted: 3893
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 117380
% 167.01/167.40 Kept: 47104
% 167.01/167.40 Inuse: 824
% 167.01/167.40 Deleted: 3893
% 167.01/167.40 Deletedinuse: 88
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 121799
% 167.01/167.40 Kept: 49119
% 167.01/167.40 Inuse: 867
% 167.01/167.40 Deleted: 3917
% 167.01/167.40 Deletedinuse: 112
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 130432
% 167.01/167.40 Kept: 51732
% 167.01/167.40 Inuse: 894
% 167.01/167.40 Deleted: 3926
% 167.01/167.40 Deletedinuse: 121
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: 137347
% 167.01/167.40 Kept: 53753
% 167.01/167.40 Inuse: 910
% 167.01/167.40 Deleted: 3926
% 167.01/167.40 Deletedinuse: 121
% 167.01/167.40
% 167.01/167.40 Resimplifying inuse:
% 167.01/167.40 Done
% 167.01/167.40
% 167.01/167.40
% 167.01/167.40 Intermediate Status:
% 167.01/167.40 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------