TSTP Solution File: NUM264-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM264-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 06:20:58 EDT 2022
% Result : Timeout 300.07s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM264-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jul 7 15:05:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13 [
% 0.74/1.13 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.74/1.13 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.74/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ subclass( X, 'universal_class' ) ],
% 0.74/1.13 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.74/1.13 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.74/1.13 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.74/1.13 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.74/1.13 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.74/1.13 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.74/1.13 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.13 X, Z ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.74/1.13 Y, T ) ],
% 0.74/1.13 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.74/1.13 ), 'cross_product'( Y, T ) ) ],
% 0.74/1.13 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.74/1.13 ), second( X ) ), X ) ],
% 0.74/1.13 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.74/1.13 Y ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.13 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.74/1.13 , Y ), 'element_relation' ) ],
% 0.74/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.74/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.74/1.13 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.74/1.13 Z ) ) ],
% 0.74/1.13 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.74/1.13 member( X, Y ) ],
% 0.74/1.13 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.74/1.13 union( X, Y ) ) ],
% 0.74/1.13 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.74/1.13 intersection( complement( X ), complement( Y ) ) ) ),
% 0.74/1.13 'symmetric_difference'( X, Y ) ) ],
% 0.74/1.13 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.74/1.13 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.74/1.13 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.74/1.13 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.74/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.74/1.13 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.74/1.13 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.74/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.74/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.74/1.13 Y ), rotate( T ) ) ],
% 0.74/1.13 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.74/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.74/1.13 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.74/1.13 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.74/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.74/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.74/1.13 Z ), flip( T ) ) ],
% 0.74/1.13 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.74/1.13 inverse( X ) ) ],
% 0.74/1.13 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.74/1.13 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.74/1.13 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.74/1.13 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.74/1.13 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.74/1.13 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.74/1.13 ],
% 0.74/1.13 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.74/1.13 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.74/1.13 successor( X ), Y ) ],
% 0.74/1.13 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.74/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.74/1.13 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.74/1.13 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.74/1.13 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.74/1.13 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.74/1.13 [ inductive( omega ) ],
% 0.74/1.13 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.74/1.13 [ member( omega, 'universal_class' ) ],
% 0.74/1.13 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.74/1.13 , 'sum_class'( X ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.74/1.13 'universal_class' ) ],
% 0.74/1.13 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.74/1.13 'power_class'( X ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.74/1.13 'universal_class' ) ],
% 0.74/1.13 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.74/1.13 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.74/1.13 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.74/1.13 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.74/1.13 , 'identity_relation' ) ],
% 0.74/1.13 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.74/1.13 'single_valued_class'( X ) ],
% 0.74/1.13 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.74/1.13 'identity_relation' ) ],
% 0.74/1.13 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.13 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.74/1.13 , function( X ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.74/1.13 X, Y ), 'universal_class' ) ],
% 0.74/1.13 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.74/1.13 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.74/1.13 ) ],
% 0.74/1.13 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.74/1.13 [ function( choice ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.74/1.13 apply( choice, X ), X ) ],
% 0.74/1.13 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.74/1.13 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.74/1.13 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.13 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.74/1.13 , complement( compose( complement( 'element_relation' ), inverse(
% 0.74/1.13 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.74/1.13 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.74/1.13 'identity_relation' ) ],
% 0.74/1.13 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.74/1.13 , diagonalise( X ) ) ],
% 0.74/1.13 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.74/1.13 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.74/1.13 [ ~( operation( X ) ), function( X ) ],
% 0.74/1.13 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.74/1.13 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.74/1.13 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.74/1.13 'domain_of'( X ) ) ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.74/1.13 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.74/1.13 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.74/1.13 X ) ],
% 0.74/1.13 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.74/1.13 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.74/1.13 'domain_of'( X ) ) ],
% 0.74/1.13 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.74/1.13 'domain_of'( Z ) ) ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.74/1.13 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.74/1.13 ), compatible( X, Y, Z ) ],
% 0.74/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.74/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.74/1.13 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.74/1.13 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.74/1.13 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.74/1.13 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.74/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.74/1.13 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.74/1.13 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.74/1.13 , Y ) ],
% 0.74/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.74/1.13 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.74/1.13 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.74/1.13 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.74/1.13 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.74/1.13 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.74/1.13 compose( Z, X ), Y ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.13 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.74/1.13 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.74/1.13 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.74/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.74/1.13 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.13 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.74/1.13 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.74/1.13 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.74/1.13 'domain_of'( X ), Y ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.74/1.13 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.74/1.13 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.74/1.13 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.74/1.13 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.74/1.13 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.74/1.13 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.74/1.13 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.74/1.13 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.74/1.13 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.74/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.74/1.13 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.74/1.13 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.74/1.13 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.74/1.13 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.74/1.13 'application_function' ) ],
% 0.74/1.13 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.74/1.13 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.74/1.13 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 0.74/1.13 'domain_of'( X ), Y ) ],
% 0.74/1.13 [ =( union( X, inverse( X ) ), 'symmetrization_of'( X ) ) ],
% 0.74/1.13 [ ~( irreflexive( X, Y ) ), subclass( restrict( X, Y, Y ), complement(
% 0.74/1.13 'identity_relation' ) ) ],
% 0.74/1.13 [ ~( subclass( restrict( X, Y, Y ), complement( 'identity_relation' ) )
% 0.74/1.13 ), irreflexive( X, Y ) ],
% 0.74/1.13 [ ~( connected( X, Y ) ), subclass( 'cross_product'( Y, Y ), union(
% 0.74/1.13 'identity_relation', 'symmetrization_of'( X ) ) ) ],
% 0.74/1.13 [ ~( subclass( 'cross_product'( X, X ), union( 'identity_relation',
% 0.74/1.13 'symmetrization_of'( Y ) ) ) ), connected( Y, X ) ],
% 0.74/1.13 [ ~( transitive( X, Y ) ), subclass( compose( restrict( X, Y, Y ),
% 0.74/1.13 restrict( X, Y, Y ) ), restrict( X, Y, Y ) ) ],
% 0.74/1.13 [ ~( subclass( compose( restrict( X, Y, Y ), restrict( X, Y, Y ) ),
% 0.74/1.13 restrict( X, Y, Y ) ) ), transitive( X, Y ) ],
% 0.74/1.13 [ ~( asymmetric( X, Y ) ), =( restrict( intersection( X, inverse( X ) )
% 0.74/1.13 , Y, Y ), 'null_class' ) ],
% 0.74/1.13 [ ~( =( restrict( intersection( X, inverse( X ) ), Y, Y ), 'null_class'
% 0.74/1.13 ) ), asymmetric( X, Y ) ],
% 0.74/1.13 [ =( segment( X, Y, Z ), 'domain_of'( restrict( X, Y, singleton( Z ) ) )
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( 'well_ordering'( X, Y ) ), connected( X, Y ) ],
% 0.74/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( Z,
% 0.74/1.13 'null_class' ), member( least( X, Z ), Z ) ],
% 0.74/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.74/1.13 ), member( least( X, Z ), Z ) ],
% 0.74/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( segment( X, Z
% 0.74/1.13 , least( X, Z ) ), 'null_class' ) ],
% 0.74/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.74/1.13 ), ~( member( 'ordered_pair'( T, least( X, Z ) ), X ) ) ],
% 0.74/1.13 [ ~( connected( X, Y ) ), ~( =( 'not_well_ordering'( X, Y ),
% 0.74/1.13 'null_class' ) ), 'well_ordering'( X, Y ) ],
% 0.74/1.13 [ ~( connected( X, Y ) ), subclass( 'not_well_ordering'( X, Y ), Y ),
% 0.74/1.13 'well_ordering'( X, Y ) ],
% 0.74/1.13 [ ~( member( X, 'not_well_ordering'( Y, Z ) ) ), ~( =( segment( Y,
% 0.74/1.13 'not_well_ordering'( Y, Z ), X ), 'null_class' ) ), ~( connected( Y, Z )
% 0.74/1.13 ), 'well_ordering'( Y, Z ) ],
% 0.74/1.13 [ ~( section( X, Y, Z ) ), subclass( Y, Z ) ],
% 0.74/1.13 [ ~( section( X, Y, Z ) ), subclass( 'domain_of'( restrict( X, Z, Y ) )
% 0.74/1.13 , Y ) ],
% 0.74/1.13 [ ~( subclass( X, Y ) ), ~( subclass( 'domain_of'( restrict( Z, Y, X ) )
% 0.74/1.13 , X ) ), section( Z, X, Y ) ],
% 0.74/1.13 [ ~( member( X, 'ordinal_numbers' ) ), 'well_ordering'(
% 0.74/1.13 'element_relation', X ) ],
% 0.74/1.13 [ ~( member( X, 'ordinal_numbers' ) ), subclass( 'sum_class'( X ), X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.74/1.13 'sum_class'( X ), X ) ), ~( member( X, 'universal_class' ) ), member( X,
% 0.74/1.13 'ordinal_numbers' ) ],
% 0.74/1.13 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.74/1.13 'sum_class'( X ), X ) ), member( X, 'ordinal_numbers' ), =( X,
% 0.74/1.13 'ordinal_numbers' ) ],
% 0.74/1.13 [ =( union( singleton( 'null_class' ), image( 'successor_relation',
% 0.74/1.13 'ordinal_numbers' ) ), 'kind_1_ordinals' ) ],
% 0.74/1.13 [ =( intersection( complement( 'kind_1_ordinals' ), 'ordinal_numbers' )
% 0.74/1.13 , 'limit_ordinals' ) ],
% 0.74/1.13 [ subclass( 'rest_of'( X ), 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), member( X,
% 0.74/1.13 'domain_of'( Z ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), =( restrict( Z
% 0.74/1.13 , X, 'universal_class' ), Y ) ],
% 0.74/1.13 [ ~( member( X, 'domain_of'( Y ) ) ), ~( =( restrict( Y, X,
% 0.74/1.13 'universal_class' ), Z ) ), member( 'ordered_pair'( X, Z ), 'rest_of'( Y
% 0.74/1.13 ) ) ],
% 0.74/1.13 [ subclass( 'rest_relation', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_relation' ) ), =( 'rest_of'(
% 0.74/1.13 X ), Y ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.74/1.13 'rest_of'( X ) ), 'rest_relation' ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( Y ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( X ) ]
% 0.74/1.13 ,
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), member(
% 0.74/1.13 'domain_of'( X ), 'ordinal_numbers' ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), =( compose( Y,
% 0.74/1.13 'rest_of'( X ) ), X ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( function( Y ) ), ~( member( 'domain_of'( Y ),
% 0.74/1.13 'ordinal_numbers' ) ), ~( =( compose( X, 'rest_of'( Y ) ), Y ) ), member(
% 0.74/1.13 Y, 'recursion_equation_functions'( X ) ) ],
% 0.74/1.13 [ subclass( 'union_of_range_map', 'cross_product'( 'universal_class',
% 0.74/1.13 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ), =(
% 0.74/1.13 'sum_class'( 'range_of'( X ) ), Y ) ],
% 0.74/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.13 , 'universal_class' ) ) ), ~( =( 'sum_class'( 'range_of'( X ) ), Y ) ),
% 0.74/1.13 member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ],
% 0.74/1.13 [ =( apply( recursion( X, 'successor_relation', 'union_of_range_map' ),
% 0.74/1.13 Y ), 'ordinal_add'( X, Y ) ) ],
% 0.74/1.13 [ =( recursion( 'null_class', apply( 'add_relation', X ),
% 0.74/1.13 'union_of_range_map' ), 'ordinal_multiply'( X, Y ) ) ],
% 0.74/1.13 [ ~( member( X, omega ) ), =( 'integer_of'( X ), X ) ],
% 0.74/1.13 [ member( X, omega ), =( 'integer_of'( X ), 'null_class' ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), subclass( 'domain_of'(
% 0.74/1.13 intersection( complement( Z ), X ) ), 'ordinal_numbers' ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.74/1.13 ), X ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.74/1.13 intersection( complement( Z ), X ) ) ) ) ), member( 'ordered_pair'( T, U
% 0.74/1.13 ), Z ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.74/1.13 ), Z ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.74/1.13 intersection( complement( Z ), X ) ) ) ) ), subclass( X, Z ), member(
% 0.74/1.13 'ordered_pair'( T, U ), X ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), subclass( X, Z ), =( restrict( X
% 0.74/1.13 , least( 'element_relation', 'domain_of'( intersection( complement( Z ),
% 0.74/1.13 X ) ) ), 'universal_class' ), restrict( Z, least( 'element_relation',
% 0.74/1.13 'domain_of'( intersection( complement( Z ), X ) ) ), 'universal_class' )
% 0.74/1.13 ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.74/1.13 'domain_of'( Z ) ) ), subclass( X, Z ), =( apply( Z, least(
% 0.74/1.13 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ) )
% 0.74/1.13 , apply( X, least( 'element_relation', 'domain_of'( intersection(
% 0.74/1.13 complement( Z ), X ) ) ) ) ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.74/1.13 'domain_of'( Z ) ) ), subclass( X, Z ), member( 'ordered_pair'( least(
% 0.74/1.13 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ),
% 0.74/1.13 apply( Z, least( 'element_relation', 'domain_of'( intersection(
% 0.74/1.13 complement( Z ), X ) ) ) ) ), Z ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.74/1.13 'domain_of'( Z ) ) ), subclass( X, Z ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), member( union( X, Z ),
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), function( union( X, Z ) ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.74/1.13 'domain_of'( Z ) ) ), ~( member( T, 'domain_of'( X ) ) ), =( restrict( X
% 0.74/1.13 , T, 'universal_class' ), restrict( Z, T, 'universal_class' ) ) ],
% 0.74/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.74/1.13 'domain_of'( Z ) ) ), subclass( 'rest_of'( X ), 'rest_of'( Z ) ) ],
% 0.74/1.13 [ ~( member( X, 'universal_class' ) ), =( image( image(
% 0.74/1.13 'composition_function', singleton( X ) ), image( 'rest_relation',
% 0.74/1.13 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.74/1.13 X ) ) ],
% 0.74/1.13 [ =( image( comp( X ), image( 'rest_relation',
% 0.74/1.13 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.74/1.13 X ) ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( function( Y ) ), ~( =( 'domain_of'( X ),
% 0.74/1.13 'ordinal_numbers' ) ), ~( =( 'domain_of'( Y ), 'ordinal_numbers' ) ), =(
% 0.74/1.13 X, Y ), =( restrict( X, least( 'element_relation', 'domain_of'(
% 0.74/1.13 intersection( complement( X ), Y ) ) ), 'universal_class' ), restrict( Y
% 0.74/1.13 , least( 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.74/1.13 Y ) ) ), 'universal_class' ) ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.74/1.13 'domain_of'( X ), 'ordinal_numbers' ) ), subclass( 'sum_class'(
% 0.74/1.13 'recursion_equation_functions'( Y ) ), X ), =( apply( 'sum_class'(
% 0.74/1.13 'recursion_equation_functions'( Y ) ), least( 'element_relation',
% 0.74/1.13 'domain_of'( intersection( complement( X ), 'sum_class'(
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ) ) ) ), apply( X, least(
% 0.74/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.74/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ) ],
% 0.74/1.13 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.74/1.13 'domain_of'( X ), 'ordinal_numbers' ) ), ~( member( 'ordered_pair'( least(
% 0.74/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.74/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ), apply(
% 0.74/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ), least(
% 0.74/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.74/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ),
% 0.74/1.13 intersection( complement( X ), 'sum_class'(
% 0.74/1.13 'recursion_equation_functions'( Y ) ) ) ) ), subclass( 'sum_class'(
% 0.74/1.13 'recursion_equation_functions'( Y ) ), X ) ],
% 0.74/1.13 [ member( u, 'limit_ordinals' ) ],
% 0.74/1.13 [ ~( =( apply( z, restrict( recursion( x, y, z ), u, 'universal_class' )
% 0.74/1.13 ), apply( recursion( x, y, z ), u ) ) ) ]
% 0.74/1.13 ] .
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 percentage equality = 0.220513, percentage horn = 0.897727
% 0.74/1.13 This is a problem with some equality
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 1
% 0.74/1.13 useeqrefl = 1
% 0.74/1.13 useeqfact = 1
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 5
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 0.74/1.13 resimpclauses = 20000
% 0.74/1.13 substype = eqrewr
% 0.74/1.13 backwardsubs = 1
% 0.74/1.13 selectoldest = 5
% 0.74/1.13
% 0.74/1.13 litorderings [0] = split
% 0.74/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.13
% 0.74/1.13 termordering = kbo
% 0.74/1.13
% 0.74/1.13 litapriori = 0
% 0.74/1.13 termapriori = 1
% 0.74/1.13 litaposteriori = 0
% 0.74/1.13 termaposteriori = 0
% 0.74/1.13 demodaposteriori = 0
% 0.74/1.13 ordereqreflfact = 0
% 0.74/1.13
% 0.74/1.13 litselect = negord
% 0.74/1.13
% 0.74/1.13 maxweight = 15
% 0.74/1.13 maxdepth = 30000
% 0.74/1.13 maxlength = 115
% 0.74/1.13 maxnrvars = 195
% 0.74/1.13 excuselevel = 1
% 0.74/1.13 increasemaxweight = 1
% 0.74/1.13
% 0.74/1.13 maxselected = 10000000
% 0.74/1.13 maxnrclauses = 10000000
% 0.74/1.13
% 0.74/1.13 showgenerated = 0
% 0.74/1.13 showkept = 0
% 0.74/1.13 showselected = 0
% 0.74/1.13 showdeleted = 0
% 0.74/1.13 showresimp = 1
% 0.74/1.13 showstatus = 2000
% 0.74/1.13
% 0.74/1.13 prologoutput = 1
% 0.74/1.13 nrgoals = 5000000
% 0.74/1.13 totalproof = 1
% 0.74/1.13
% 0.74/1.13 Symbols occurring in the translation:
% 0.74/1.13
% 0.74/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.13 . [1, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.74/1.13 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 0.74/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 subclass [41, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.74/1.13 member [43, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.74/1.13 'not_subclass_element' [44, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.74/1.13 'universal_class' [45, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.13 'unordered_pair' [46, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.74/1.13 singleton [47, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.13 'ordered_pair' [48, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.74/1.13 'cross_product' [50, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.74/1.13 first [52, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.13 second [53, 1] (w:1, o:55, a:1, s:1, b:0),
% 10.61/11.04 'element_relation' [54, 0] (w:1, o:29, a:1, s:1, b:0),
% 10.61/11.04 intersection [55, 2] (w:1, o:112, a:1, s:1, b:0),
% 10.61/11.04 complement [56, 1] (w:1, o:56, a:1, s:1, b:0),
% 10.61/11.04 union [57, 2] (w:1, o:113, a:1, s:1, b:0),
% 10.61/11.04 'symmetric_difference' [58, 2] (w:1, o:114, a:1, s:1, b:0),
% 10.61/11.04 restrict [60, 3] (w:1, o:123, a:1, s:1, b:0),
% 10.61/11.04 'null_class' [61, 0] (w:1, o:30, a:1, s:1, b:0),
% 10.61/11.04 'domain_of' [62, 1] (w:1, o:60, a:1, s:1, b:0),
% 10.61/11.04 rotate [63, 1] (w:1, o:48, a:1, s:1, b:0),
% 10.61/11.04 flip [65, 1] (w:1, o:61, a:1, s:1, b:0),
% 10.61/11.04 inverse [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 10.61/11.04 'range_of' [67, 1] (w:1, o:49, a:1, s:1, b:0),
% 10.61/11.04 domain [68, 3] (w:1, o:125, a:1, s:1, b:0),
% 10.61/11.04 range [69, 3] (w:1, o:126, a:1, s:1, b:0),
% 10.61/11.04 image [70, 2] (w:1, o:111, a:1, s:1, b:0),
% 10.61/11.04 successor [71, 1] (w:1, o:63, a:1, s:1, b:0),
% 10.61/11.04 'successor_relation' [72, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.61/11.04 inductive [73, 1] (w:1, o:64, a:1, s:1, b:0),
% 10.61/11.04 omega [74, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.61/11.04 'sum_class' [75, 1] (w:1, o:65, a:1, s:1, b:0),
% 10.61/11.04 'power_class' [76, 1] (w:1, o:68, a:1, s:1, b:0),
% 10.61/11.04 compose [78, 2] (w:1, o:115, a:1, s:1, b:0),
% 10.61/11.04 'single_valued_class' [79, 1] (w:1, o:69, a:1, s:1, b:0),
% 10.61/11.04 'identity_relation' [80, 0] (w:1, o:31, a:1, s:1, b:0),
% 10.61/11.04 function [82, 1] (w:1, o:70, a:1, s:1, b:0),
% 10.61/11.04 regular [83, 1] (w:1, o:50, a:1, s:1, b:0),
% 10.61/11.04 apply [84, 2] (w:1, o:116, a:1, s:1, b:0),
% 10.61/11.04 choice [85, 0] (w:1, o:32, a:1, s:1, b:0),
% 10.61/11.04 'one_to_one' [86, 1] (w:1, o:66, a:1, s:1, b:0),
% 10.61/11.04 'subset_relation' [87, 0] (w:1, o:6, a:1, s:1, b:0),
% 10.61/11.04 diagonalise [88, 1] (w:1, o:71, a:1, s:1, b:0),
% 10.61/11.04 cantor [89, 1] (w:1, o:57, a:1, s:1, b:0),
% 10.61/11.04 operation [90, 1] (w:1, o:67, a:1, s:1, b:0),
% 10.61/11.04 compatible [94, 3] (w:1, o:124, a:1, s:1, b:0),
% 10.61/11.04 homomorphism [95, 3] (w:1, o:127, a:1, s:1, b:0),
% 10.61/11.04 'not_homomorphism1' [96, 3] (w:1, o:129, a:1, s:1, b:0),
% 10.61/11.04 'not_homomorphism2' [97, 3] (w:1, o:130, a:1, s:1, b:0),
% 10.61/11.04 'compose_class' [98, 1] (w:1, o:58, a:1, s:1, b:0),
% 10.61/11.04 'composition_function' [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 10.61/11.04 'domain_relation' [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 10.61/11.04 'single_valued1' [101, 1] (w:1, o:72, a:1, s:1, b:0),
% 10.61/11.04 'single_valued2' [102, 1] (w:1, o:73, a:1, s:1, b:0),
% 10.61/11.04 'single_valued3' [103, 1] (w:1, o:74, a:1, s:1, b:0),
% 10.61/11.04 'singleton_relation' [104, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.61/11.04 'application_function' [105, 0] (w:1, o:34, a:1, s:1, b:0),
% 10.61/11.04 maps [106, 3] (w:1, o:128, a:1, s:1, b:0),
% 10.61/11.04 'symmetrization_of' [107, 1] (w:1, o:75, a:1, s:1, b:0),
% 10.61/11.04 irreflexive [108, 2] (w:1, o:117, a:1, s:1, b:0),
% 10.61/11.04 connected [109, 2] (w:1, o:118, a:1, s:1, b:0),
% 10.61/11.04 transitive [110, 2] (w:1, o:106, a:1, s:1, b:0),
% 10.61/11.04 asymmetric [111, 2] (w:1, o:119, a:1, s:1, b:0),
% 10.61/11.04 segment [112, 3] (w:1, o:132, a:1, s:1, b:0),
% 10.61/11.04 'well_ordering' [113, 2] (w:1, o:120, a:1, s:1, b:0),
% 10.61/11.04 least [114, 2] (w:1, o:103, a:1, s:1, b:0),
% 10.61/11.04 'not_well_ordering' [115, 2] (w:1, o:108, a:1, s:1, b:0),
% 10.61/11.04 section [116, 3] (w:1, o:133, a:1, s:1, b:0),
% 10.61/11.04 'ordinal_numbers' [117, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.61/11.04 'kind_1_ordinals' [118, 0] (w:1, o:35, a:1, s:1, b:0),
% 10.61/11.04 'limit_ordinals' [119, 0] (w:1, o:36, a:1, s:1, b:0),
% 10.61/11.04 'rest_of' [120, 1] (w:1, o:51, a:1, s:1, b:0),
% 10.61/11.04 'rest_relation' [121, 0] (w:1, o:5, a:1, s:1, b:0),
% 10.61/11.04 'recursion_equation_functions' [122, 1] (w:1, o:52, a:1, s:1, b:0),
% 10.61/11.04 'union_of_range_map' [123, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.61/11.04 recursion [124, 3] (w:1, o:131, a:1, s:1, b:0),
% 10.61/11.04 'ordinal_add' [125, 2] (w:1, o:121, a:1, s:1, b:0),
% 10.61/11.04 'add_relation' [126, 0] (w:1, o:38, a:1, s:1, b:0),
% 10.61/11.04 'ordinal_multiply' [127, 2] (w:1, o:122, a:1, s:1, b:0),
% 10.61/11.04 'integer_of' [128, 1] (w:1, o:76, a:1, s:1, b:0),
% 10.61/11.04 comp [129, 1] (w:1, o:59, a:1, s:1, b:0),
% 10.61/11.04 u [130, 0] (w:1, o:39, a:1, s:1, b:0),
% 10.61/11.04 z [131, 0] (w:1, o:41, a:1, s:1, b:0),
% 10.61/11.04 x [132, 0] (w:1, o:42, a:1, s:1, b:0),
% 10.61/11.04 y [133, 0] (w:1, o:40, a:1, s:1, b:0).
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Starting Search:
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 5447
% 165.88/166.36 Kept: 2014
% 165.88/166.36 Inuse: 110
% 165.88/166.36 Deleted: 3
% 165.88/166.36 Deletedinuse: 2
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 10321
% 165.88/166.36 Kept: 4237
% 165.88/166.36 Inuse: 189
% 165.88/166.36 Deleted: 30
% 165.88/166.36 Deletedinuse: 18
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 14958
% 165.88/166.36 Kept: 6650
% 165.88/166.36 Inuse: 270
% 165.88/166.36 Deleted: 37
% 165.88/166.36 Deletedinuse: 21
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 20487
% 165.88/166.36 Kept: 8657
% 165.88/166.36 Inuse: 336
% 165.88/166.36 Deleted: 73
% 165.88/166.36 Deletedinuse: 47
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 24554
% 165.88/166.36 Kept: 10757
% 165.88/166.36 Inuse: 370
% 165.88/166.36 Deleted: 75
% 165.88/166.36 Deletedinuse: 49
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 28512
% 165.88/166.36 Kept: 12759
% 165.88/166.36 Inuse: 412
% 165.88/166.36 Deleted: 80
% 165.88/166.36 Deletedinuse: 54
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 32374
% 165.88/166.36 Kept: 15196
% 165.88/166.36 Inuse: 430
% 165.88/166.36 Deleted: 82
% 165.88/166.36 Deletedinuse: 56
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 36598
% 165.88/166.36 Kept: 17213
% 165.88/166.36 Inuse: 487
% 165.88/166.36 Deleted: 83
% 165.88/166.36 Deletedinuse: 56
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 43282
% 165.88/166.36 Kept: 19213
% 165.88/166.36 Inuse: 526
% 165.88/166.36 Deleted: 87
% 165.88/166.36 Deletedinuse: 60
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying clauses:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 47619
% 165.88/166.36 Kept: 21217
% 165.88/166.36 Inuse: 564
% 165.88/166.36 Deleted: 1576
% 165.88/166.36 Deletedinuse: 62
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 52099
% 165.88/166.36 Kept: 23670
% 165.88/166.36 Inuse: 582
% 165.88/166.36 Deleted: 1576
% 165.88/166.36 Deletedinuse: 62
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 56391
% 165.88/166.36 Kept: 26198
% 165.88/166.36 Inuse: 607
% 165.88/166.36 Deleted: 1577
% 165.88/166.36 Deletedinuse: 63
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 62025
% 165.88/166.36 Kept: 28300
% 165.88/166.36 Inuse: 645
% 165.88/166.36 Deleted: 1587
% 165.88/166.36 Deletedinuse: 71
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 67332
% 165.88/166.36 Kept: 30307
% 165.88/166.36 Inuse: 674
% 165.88/166.36 Deleted: 1587
% 165.88/166.36 Deletedinuse: 71
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 77268
% 165.88/166.36 Kept: 32323
% 165.88/166.36 Inuse: 692
% 165.88/166.36 Deleted: 1589
% 165.88/166.36 Deletedinuse: 72
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 85206
% 165.88/166.36 Kept: 36064
% 165.88/166.36 Inuse: 709
% 165.88/166.36 Deleted: 1589
% 165.88/166.36 Deletedinuse: 72
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 92792
% 165.88/166.36 Kept: 38729
% 165.88/166.36 Inuse: 714
% 165.88/166.36 Deleted: 1589
% 165.88/166.36 Deletedinuse: 72
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 100049
% 165.88/166.36 Kept: 41174
% 165.88/166.36 Inuse: 719
% 165.88/166.36 Deleted: 1589
% 165.88/166.36 Deletedinuse: 72
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying clauses:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 105698
% 165.88/166.36 Kept: 43198
% 165.88/166.36 Inuse: 759
% 165.88/166.36 Deleted: 3382
% 165.88/166.36 Deletedinuse: 72
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 111920
% 165.88/166.36 Kept: 45242
% 165.88/166.36 Inuse: 803
% 165.88/166.36 Deleted: 3390
% 165.88/166.36 Deletedinuse: 77
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 116374
% 165.88/166.36 Kept: 47252
% 165.88/166.36 Inuse: 826
% 165.88/166.36 Deleted: 3391
% 165.88/166.36 Deletedinuse: 77
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 121071
% 165.88/166.36 Kept: 49267
% 165.88/166.36 Inuse: 869
% 165.88/166.36 Deleted: 3405
% 165.88/166.36 Deletedinuse: 91
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 128866
% 165.88/166.36 Kept: 51644
% 165.88/166.36 Inuse: 894
% 165.88/166.36 Deleted: 3410
% 165.88/166.36 Deletedinuse: 96
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 Generated: 135296
% 165.88/166.36 Kept: 53754
% 165.88/166.36 Inuse: 904
% 165.88/166.36 Deleted: 3410
% 165.88/166.36 Deletedinuse: 96
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36 Resimplifying inuse:
% 165.88/166.36 Done
% 165.88/166.36
% 165.88/166.36
% 165.88/166.36 Intermediate Status:
% 165.88/166.36 GeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------