TSTP Solution File: NUM263-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM263-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 06:20:57 EDT 2022
% Result : Timeout 300.06s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM263-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.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 : Tue Jul 5 08:44:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.71/1.12 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.71/1.12 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ subclass( X, 'universal_class' ) ],
% 0.71/1.12 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.71/1.12 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.71/1.12 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.71/1.12 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.71/1.12 ) ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.71/1.12 ) ) ],
% 0.71/1.12 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.71/1.12 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.71/1.12 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.71/1.12 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.12 X, Z ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.71/1.12 Y, T ) ],
% 0.71/1.12 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.71/1.12 ), 'cross_product'( Y, T ) ) ],
% 0.71/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.71/1.12 ), second( X ) ), X ) ],
% 0.71/1.12 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.71/1.12 Y ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.12 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.71/1.12 , Y ), 'element_relation' ) ],
% 0.71/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.71/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.71/1.12 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.71/1.12 Z ) ) ],
% 0.71/1.12 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.71/1.12 member( X, Y ) ],
% 0.71/1.12 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.71/1.12 union( X, Y ) ) ],
% 0.71/1.12 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.71/1.12 intersection( complement( X ), complement( Y ) ) ) ),
% 0.71/1.12 'symmetric_difference'( X, Y ) ) ],
% 0.71/1.12 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.71/1.12 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.71/1.12 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.71/1.12 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.71/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.71/1.12 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.71/1.12 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.71/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.71/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.71/1.12 Y ), rotate( T ) ) ],
% 0.71/1.12 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.71/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.71/1.12 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.71/1.12 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.71/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.71/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.71/1.12 Z ), flip( T ) ) ],
% 0.71/1.12 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.71/1.12 inverse( X ) ) ],
% 0.71/1.12 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.71/1.12 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.71/1.12 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.71/1.12 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.71/1.12 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.71/1.12 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.71/1.12 ],
% 0.71/1.12 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.71/1.12 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.71/1.12 successor( X ), Y ) ],
% 0.71/1.12 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.71/1.12 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.71/1.12 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.71/1.12 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.71/1.12 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.71/1.12 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.71/1.12 [ inductive( omega ) ],
% 0.71/1.12 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.71/1.12 [ member( omega, 'universal_class' ) ],
% 0.71/1.12 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.71/1.12 , 'sum_class'( X ) ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.71/1.12 'universal_class' ) ],
% 0.71/1.12 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.71/1.12 'power_class'( X ) ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.71/1.12 'universal_class' ) ],
% 0.71/1.12 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.71/1.12 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.71/1.12 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.71/1.12 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.71/1.12 ) ],
% 0.71/1.12 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.71/1.12 , 'identity_relation' ) ],
% 0.71/1.12 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.71/1.12 'single_valued_class'( X ) ],
% 0.71/1.12 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.71/1.12 'identity_relation' ) ],
% 0.71/1.12 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.12 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.71/1.12 , function( X ) ],
% 0.71/1.12 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.71/1.12 X, Y ), 'universal_class' ) ],
% 0.71/1.12 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.71/1.12 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.71/1.12 ) ],
% 0.71/1.12 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.71/1.12 [ function( choice ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.71/1.12 apply( choice, X ), X ) ],
% 0.71/1.12 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.71/1.12 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.71/1.12 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.12 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.71/1.12 , complement( compose( complement( 'element_relation' ), inverse(
% 0.71/1.12 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.71/1.12 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.71/1.12 'identity_relation' ) ],
% 0.71/1.12 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.71/1.12 , diagonalise( X ) ) ],
% 0.71/1.12 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.71/1.12 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.71/1.12 [ ~( operation( X ) ), function( X ) ],
% 0.71/1.12 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.71/1.12 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.71/1.12 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.71/1.12 'domain_of'( X ) ) ) ],
% 0.71/1.12 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.71/1.12 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.71/1.12 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.71/1.12 X ) ],
% 0.71/1.12 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.71/1.12 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.71/1.12 'domain_of'( X ) ) ],
% 0.71/1.12 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.71/1.12 'domain_of'( Z ) ) ) ],
% 0.71/1.12 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.71/1.12 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.71/1.12 ), compatible( X, Y, Z ) ],
% 0.71/1.12 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.71/1.12 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.71/1.12 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.71/1.12 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.71/1.12 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.71/1.12 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.71/1.12 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.71/1.12 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.71/1.12 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.71/1.12 , Y ) ],
% 0.71/1.12 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.71/1.12 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.71/1.12 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.71/1.12 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.71/1.12 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.71/1.12 [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =(
% 0.71/1.12 compose( Z, X ), Y ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.12 , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member(
% 0.71/1.12 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.71/1.12 [ subclass( 'composition_function', 'cross_product'( 'universal_class',
% 0.71/1.12 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.71/1.12 'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.12 , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y,
% 0.71/1.12 compose( X, Y ) ) ), 'composition_function' ) ],
% 0.71/1.12 [ subclass( 'domain_relation', 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =(
% 0.71/1.12 'domain_of'( X ), Y ) ],
% 0.71/1.12 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.71/1.12 'domain_of'( X ) ), 'domain_relation' ) ],
% 0.71/1.12 [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.71/1.12 'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.71/1.12 [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ),
% 0.71/1.12 'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.71/1.12 [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.71/1.12 ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.71/1.12 [ =( intersection( complement( compose( 'element_relation', complement(
% 0.71/1.12 'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.71/1.12 ,
% 0.71/1.12 [ subclass( 'application_function', 'cross_product'( 'universal_class',
% 0.71/1.12 'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.71/1.12 'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.71/1.12 'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.71/1.12 [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ),
% 0.71/1.12 'cross_product'( 'universal_class', 'cross_product'( 'universal_class',
% 0.71/1.12 'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member(
% 0.71/1.12 'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ),
% 0.71/1.12 'application_function' ) ],
% 0.71/1.12 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.71/1.12 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.71/1.12 [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 0.71/1.12 [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X,
% 0.71/1.12 'domain_of'( X ), Y ) ],
% 0.71/1.12 [ =( union( X, inverse( X ) ), 'symmetrization_of'( X ) ) ],
% 0.71/1.12 [ ~( irreflexive( X, Y ) ), subclass( restrict( X, Y, Y ), complement(
% 0.71/1.12 'identity_relation' ) ) ],
% 0.71/1.12 [ ~( subclass( restrict( X, Y, Y ), complement( 'identity_relation' ) )
% 0.71/1.12 ), irreflexive( X, Y ) ],
% 0.71/1.12 [ ~( connected( X, Y ) ), subclass( 'cross_product'( Y, Y ), union(
% 0.71/1.12 'identity_relation', 'symmetrization_of'( X ) ) ) ],
% 0.71/1.12 [ ~( subclass( 'cross_product'( X, X ), union( 'identity_relation',
% 0.71/1.12 'symmetrization_of'( Y ) ) ) ), connected( Y, X ) ],
% 0.71/1.12 [ ~( transitive( X, Y ) ), subclass( compose( restrict( X, Y, Y ),
% 0.71/1.12 restrict( X, Y, Y ) ), restrict( X, Y, Y ) ) ],
% 0.71/1.12 [ ~( subclass( compose( restrict( X, Y, Y ), restrict( X, Y, Y ) ),
% 0.71/1.12 restrict( X, Y, Y ) ) ), transitive( X, Y ) ],
% 0.71/1.12 [ ~( asymmetric( X, Y ) ), =( restrict( intersection( X, inverse( X ) )
% 0.71/1.13 , Y, Y ), 'null_class' ) ],
% 0.71/1.13 [ ~( =( restrict( intersection( X, inverse( X ) ), Y, Y ), 'null_class'
% 0.71/1.13 ) ), asymmetric( X, Y ) ],
% 0.71/1.13 [ =( segment( X, Y, Z ), 'domain_of'( restrict( X, Y, singleton( Z ) ) )
% 0.71/1.13 ) ],
% 0.71/1.13 [ ~( 'well_ordering'( X, Y ) ), connected( X, Y ) ],
% 0.71/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( Z,
% 0.71/1.13 'null_class' ), member( least( X, Z ), Z ) ],
% 0.71/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.71/1.13 ), member( least( X, Z ), Z ) ],
% 0.71/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), =( segment( X, Z
% 0.71/1.13 , least( X, Z ) ), 'null_class' ) ],
% 0.71/1.13 [ ~( 'well_ordering'( X, Y ) ), ~( subclass( Z, Y ) ), ~( member( T, Z )
% 0.71/1.13 ), ~( member( 'ordered_pair'( T, least( X, Z ) ), X ) ) ],
% 0.71/1.13 [ ~( connected( X, Y ) ), ~( =( 'not_well_ordering'( X, Y ),
% 0.71/1.13 'null_class' ) ), 'well_ordering'( X, Y ) ],
% 0.71/1.13 [ ~( connected( X, Y ) ), subclass( 'not_well_ordering'( X, Y ), Y ),
% 0.71/1.13 'well_ordering'( X, Y ) ],
% 0.71/1.13 [ ~( member( X, 'not_well_ordering'( Y, Z ) ) ), ~( =( segment( Y,
% 0.71/1.13 'not_well_ordering'( Y, Z ), X ), 'null_class' ) ), ~( connected( Y, Z )
% 0.71/1.13 ), 'well_ordering'( Y, Z ) ],
% 0.71/1.13 [ ~( section( X, Y, Z ) ), subclass( Y, Z ) ],
% 0.71/1.13 [ ~( section( X, Y, Z ) ), subclass( 'domain_of'( restrict( X, Z, Y ) )
% 0.71/1.13 , Y ) ],
% 0.71/1.13 [ ~( subclass( X, Y ) ), ~( subclass( 'domain_of'( restrict( Z, Y, X ) )
% 0.71/1.13 , X ) ), section( Z, X, Y ) ],
% 0.71/1.13 [ ~( member( X, 'ordinal_numbers' ) ), 'well_ordering'(
% 0.71/1.13 'element_relation', X ) ],
% 0.71/1.13 [ ~( member( X, 'ordinal_numbers' ) ), subclass( 'sum_class'( X ), X ) ]
% 0.71/1.13 ,
% 0.71/1.13 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.71/1.13 'sum_class'( X ), X ) ), ~( member( X, 'universal_class' ) ), member( X,
% 0.71/1.13 'ordinal_numbers' ) ],
% 0.71/1.13 [ ~( 'well_ordering'( 'element_relation', X ) ), ~( subclass(
% 0.71/1.13 'sum_class'( X ), X ) ), member( X, 'ordinal_numbers' ), =( X,
% 0.71/1.13 'ordinal_numbers' ) ],
% 0.71/1.13 [ =( union( singleton( 'null_class' ), image( 'successor_relation',
% 0.71/1.13 'ordinal_numbers' ) ), 'kind_1_ordinals' ) ],
% 0.71/1.13 [ =( intersection( complement( 'kind_1_ordinals' ), 'ordinal_numbers' )
% 0.71/1.13 , 'limit_ordinals' ) ],
% 0.71/1.13 [ subclass( 'rest_of'( X ), 'cross_product'( 'universal_class',
% 0.71/1.13 'universal_class' ) ) ],
% 0.71/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), member( X,
% 0.71/1.13 'domain_of'( Z ) ) ],
% 0.71/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_of'( Z ) ) ), =( restrict( Z
% 0.71/1.13 , X, 'universal_class' ), Y ) ],
% 0.71/1.13 [ ~( member( X, 'domain_of'( Y ) ) ), ~( =( restrict( Y, X,
% 0.71/1.13 'universal_class' ), Z ) ), member( 'ordered_pair'( X, Z ), 'rest_of'( Y
% 0.71/1.13 ) ) ],
% 0.71/1.13 [ subclass( 'rest_relation', 'cross_product'( 'universal_class',
% 0.71/1.13 'universal_class' ) ) ],
% 0.71/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'rest_relation' ) ), =( 'rest_of'(
% 0.71/1.13 X ), Y ) ],
% 0.71/1.13 [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X,
% 0.71/1.13 'rest_of'( X ) ), 'rest_relation' ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( Y ) ]
% 0.71/1.13 ,
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), function( X ) ]
% 0.71/1.13 ,
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), member(
% 0.71/1.13 'domain_of'( X ), 'ordinal_numbers' ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), =( compose( Y,
% 0.71/1.13 'rest_of'( X ) ), X ) ],
% 0.71/1.13 [ ~( function( X ) ), ~( function( Y ) ), ~( member( 'domain_of'( Y ),
% 0.71/1.13 'ordinal_numbers' ) ), ~( =( compose( X, 'rest_of'( Y ) ), Y ) ), member(
% 0.71/1.13 Y, 'recursion_equation_functions'( X ) ) ],
% 0.71/1.13 [ subclass( 'union_of_range_map', 'cross_product'( 'universal_class',
% 0.71/1.13 'universal_class' ) ) ],
% 0.71/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ), =(
% 0.71/1.13 'sum_class'( 'range_of'( X ) ), Y ) ],
% 0.71/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.13 , 'universal_class' ) ) ), ~( =( 'sum_class'( 'range_of'( X ) ), Y ) ),
% 0.71/1.13 member( 'ordered_pair'( X, Y ), 'union_of_range_map' ) ],
% 0.71/1.13 [ =( apply( recursion( X, 'successor_relation', 'union_of_range_map' ),
% 0.71/1.13 Y ), 'ordinal_add'( X, Y ) ) ],
% 0.71/1.13 [ =( recursion( 'null_class', apply( 'add_relation', X ),
% 0.71/1.13 'union_of_range_map' ), 'ordinal_multiply'( X, Y ) ) ],
% 0.71/1.13 [ ~( member( X, omega ) ), =( 'integer_of'( X ), X ) ],
% 0.71/1.13 [ member( X, omega ), =( 'integer_of'( X ), 'null_class' ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), subclass( 'domain_of'(
% 0.71/1.13 intersection( complement( Z ), X ) ), 'ordinal_numbers' ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.71/1.13 ), X ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.71/1.13 intersection( complement( Z ), X ) ) ) ) ), member( 'ordered_pair'( T, U
% 0.71/1.13 ), Z ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'ordered_pair'( T, U
% 0.71/1.13 ), Z ) ), ~( member( T, least( 'element_relation', 'domain_of'(
% 0.71/1.13 intersection( complement( Z ), X ) ) ) ) ), subclass( X, Z ), member(
% 0.71/1.13 'ordered_pair'( T, U ), X ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), subclass( X, Z ), =( restrict( X
% 0.71/1.13 , least( 'element_relation', 'domain_of'( intersection( complement( Z ),
% 0.71/1.13 X ) ) ), 'universal_class' ), restrict( Z, least( 'element_relation',
% 0.71/1.13 'domain_of'( intersection( complement( Z ), X ) ) ), 'universal_class' )
% 0.71/1.13 ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.71/1.13 'domain_of'( Z ) ) ), subclass( X, Z ), =( apply( Z, least(
% 0.71/1.13 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ) )
% 0.71/1.13 , apply( X, least( 'element_relation', 'domain_of'( intersection(
% 0.71/1.13 complement( Z ), X ) ) ) ) ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.71/1.13 'domain_of'( Z ) ) ), subclass( X, Z ), member( 'ordered_pair'( least(
% 0.71/1.13 'element_relation', 'domain_of'( intersection( complement( Z ), X ) ) ),
% 0.71/1.13 apply( Z, least( 'element_relation', 'domain_of'( intersection(
% 0.71/1.13 complement( Z ), X ) ) ) ) ), Z ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.71/1.13 'domain_of'( Z ) ) ), subclass( X, Z ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), member( union( X, Z ),
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), function( union( X, Z ) ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.71/1.13 'domain_of'( Z ) ) ), ~( member( T, 'domain_of'( X ) ) ), =( restrict( X
% 0.71/1.13 , T, 'universal_class' ), restrict( Z, T, 'universal_class' ) ) ],
% 0.71/1.13 [ ~( member( X, 'recursion_equation_functions'( Y ) ) ), ~( member( Z,
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ), ~( member( 'domain_of'( X ),
% 0.71/1.13 'domain_of'( Z ) ) ), subclass( 'rest_of'( X ), 'rest_of'( Z ) ) ],
% 0.71/1.13 [ ~( member( X, 'universal_class' ) ), =( image( image(
% 0.71/1.13 'composition_function', singleton( X ) ), image( 'rest_relation',
% 0.71/1.13 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.71/1.13 X ) ) ],
% 0.71/1.13 [ =( image( comp( X ), image( 'rest_relation',
% 0.71/1.13 'recursion_equation_functions'( X ) ) ), 'recursion_equation_functions'(
% 0.71/1.13 X ) ) ],
% 0.71/1.13 [ ~( function( X ) ), ~( function( Y ) ), ~( =( 'domain_of'( X ),
% 0.71/1.13 'ordinal_numbers' ) ), ~( =( 'domain_of'( Y ), 'ordinal_numbers' ) ), =(
% 0.71/1.13 X, Y ), =( restrict( X, least( 'element_relation', 'domain_of'(
% 0.71/1.13 intersection( complement( X ), Y ) ) ), 'universal_class' ), restrict( Y
% 0.71/1.13 , least( 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.71/1.13 Y ) ) ), 'universal_class' ) ) ],
% 0.71/1.13 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.71/1.13 'domain_of'( X ), 'ordinal_numbers' ) ), subclass( 'sum_class'(
% 0.71/1.13 'recursion_equation_functions'( Y ) ), X ), =( apply( 'sum_class'(
% 0.71/1.13 'recursion_equation_functions'( Y ) ), least( 'element_relation',
% 0.71/1.13 'domain_of'( intersection( complement( X ), 'sum_class'(
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ) ) ) ), apply( X, least(
% 0.71/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.71/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ) ],
% 0.71/1.13 [ ~( function( X ) ), ~( =( compose( Y, 'rest_of'( X ) ), X ) ), ~( =(
% 0.71/1.13 'domain_of'( X ), 'ordinal_numbers' ) ), ~( member( 'ordered_pair'( least(
% 0.71/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.71/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ), apply(
% 0.71/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ), least(
% 0.71/1.13 'element_relation', 'domain_of'( intersection( complement( X ),
% 0.71/1.13 'sum_class'( 'recursion_equation_functions'( Y ) ) ) ) ) ) ),
% 0.71/1.13 intersection( complement( X ), 'sum_class'(
% 0.71/1.13 'recursion_equation_functions'( Y ) ) ) ) ), subclass( 'sum_class'(
% 0.71/1.13 'recursion_equation_functions'( Y ) ), X ) ],
% 0.71/1.13 [ member( u, 'ordinal_numbers' ) ],
% 0.71/1.13 [ ~( =( apply( recursion( x, y, z ), successor( u ) ), apply( y, apply(
% 0.71/1.13 recursion( x, y, z ), u ) ) ) ) ]
% 0.71/1.13 ] .
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 percentage equality = 0.220513, percentage horn = 0.897727
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 1
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 subclass [41, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.71/1.13 member [43, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.71/1.13 'not_subclass_element' [44, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.71/1.13 'universal_class' [45, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.13 'unordered_pair' [46, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.71/1.13 singleton [47, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.13 'ordered_pair' [48, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.71/1.13 'cross_product' [50, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.71/1.13 first [52, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.71/1.13 second [53, 1] (w:1, o:55, a:1, s:1, b:0),
% 10.21/10.63 'element_relation' [54, 0] (w:1, o:29, a:1, s:1, b:0),
% 10.21/10.63 intersection [55, 2] (w:1, o:112, a:1, s:1, b:0),
% 10.21/10.63 complement [56, 1] (w:1, o:56, a:1, s:1, b:0),
% 10.21/10.63 union [57, 2] (w:1, o:113, a:1, s:1, b:0),
% 10.21/10.63 'symmetric_difference' [58, 2] (w:1, o:114, a:1, s:1, b:0),
% 10.21/10.63 restrict [60, 3] (w:1, o:123, a:1, s:1, b:0),
% 10.21/10.63 'null_class' [61, 0] (w:1, o:30, a:1, s:1, b:0),
% 10.21/10.63 'domain_of' [62, 1] (w:1, o:60, a:1, s:1, b:0),
% 10.21/10.63 rotate [63, 1] (w:1, o:48, a:1, s:1, b:0),
% 10.21/10.63 flip [65, 1] (w:1, o:61, a:1, s:1, b:0),
% 10.21/10.63 inverse [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 10.21/10.63 'range_of' [67, 1] (w:1, o:49, a:1, s:1, b:0),
% 10.21/10.63 domain [68, 3] (w:1, o:125, a:1, s:1, b:0),
% 10.21/10.63 range [69, 3] (w:1, o:126, a:1, s:1, b:0),
% 10.21/10.63 image [70, 2] (w:1, o:111, a:1, s:1, b:0),
% 10.21/10.63 successor [71, 1] (w:1, o:63, a:1, s:1, b:0),
% 10.21/10.63 'successor_relation' [72, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.21/10.63 inductive [73, 1] (w:1, o:64, a:1, s:1, b:0),
% 10.21/10.63 omega [74, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.21/10.63 'sum_class' [75, 1] (w:1, o:65, a:1, s:1, b:0),
% 10.21/10.63 'power_class' [76, 1] (w:1, o:68, a:1, s:1, b:0),
% 10.21/10.63 compose [78, 2] (w:1, o:115, a:1, s:1, b:0),
% 10.21/10.63 'single_valued_class' [79, 1] (w:1, o:69, a:1, s:1, b:0),
% 10.21/10.63 'identity_relation' [80, 0] (w:1, o:31, a:1, s:1, b:0),
% 10.21/10.63 function [82, 1] (w:1, o:70, a:1, s:1, b:0),
% 10.21/10.63 regular [83, 1] (w:1, o:50, a:1, s:1, b:0),
% 10.21/10.63 apply [84, 2] (w:1, o:116, a:1, s:1, b:0),
% 10.21/10.63 choice [85, 0] (w:1, o:32, a:1, s:1, b:0),
% 10.21/10.63 'one_to_one' [86, 1] (w:1, o:66, a:1, s:1, b:0),
% 10.21/10.63 'subset_relation' [87, 0] (w:1, o:6, a:1, s:1, b:0),
% 10.21/10.63 diagonalise [88, 1] (w:1, o:71, a:1, s:1, b:0),
% 10.21/10.63 cantor [89, 1] (w:1, o:57, a:1, s:1, b:0),
% 10.21/10.63 operation [90, 1] (w:1, o:67, a:1, s:1, b:0),
% 10.21/10.63 compatible [94, 3] (w:1, o:124, a:1, s:1, b:0),
% 10.21/10.63 homomorphism [95, 3] (w:1, o:127, a:1, s:1, b:0),
% 10.21/10.63 'not_homomorphism1' [96, 3] (w:1, o:129, a:1, s:1, b:0),
% 10.21/10.63 'not_homomorphism2' [97, 3] (w:1, o:130, a:1, s:1, b:0),
% 10.21/10.63 'compose_class' [98, 1] (w:1, o:58, a:1, s:1, b:0),
% 10.21/10.63 'composition_function' [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 10.21/10.63 'domain_relation' [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 10.21/10.63 'single_valued1' [101, 1] (w:1, o:72, a:1, s:1, b:0),
% 10.21/10.63 'single_valued2' [102, 1] (w:1, o:73, a:1, s:1, b:0),
% 10.21/10.63 'single_valued3' [103, 1] (w:1, o:74, a:1, s:1, b:0),
% 10.21/10.63 'singleton_relation' [104, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.21/10.63 'application_function' [105, 0] (w:1, o:34, a:1, s:1, b:0),
% 10.21/10.63 maps [106, 3] (w:1, o:128, a:1, s:1, b:0),
% 10.21/10.63 'symmetrization_of' [107, 1] (w:1, o:75, a:1, s:1, b:0),
% 10.21/10.63 irreflexive [108, 2] (w:1, o:117, a:1, s:1, b:0),
% 10.21/10.63 connected [109, 2] (w:1, o:118, a:1, s:1, b:0),
% 10.21/10.63 transitive [110, 2] (w:1, o:106, a:1, s:1, b:0),
% 10.21/10.63 asymmetric [111, 2] (w:1, o:119, a:1, s:1, b:0),
% 10.21/10.63 segment [112, 3] (w:1, o:132, a:1, s:1, b:0),
% 10.21/10.63 'well_ordering' [113, 2] (w:1, o:120, a:1, s:1, b:0),
% 10.21/10.63 least [114, 2] (w:1, o:103, a:1, s:1, b:0),
% 10.21/10.63 'not_well_ordering' [115, 2] (w:1, o:108, a:1, s:1, b:0),
% 10.21/10.63 section [116, 3] (w:1, o:133, a:1, s:1, b:0),
% 10.21/10.63 'ordinal_numbers' [117, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.21/10.63 'kind_1_ordinals' [118, 0] (w:1, o:35, a:1, s:1, b:0),
% 10.21/10.63 'limit_ordinals' [119, 0] (w:1, o:36, a:1, s:1, b:0),
% 10.21/10.63 'rest_of' [120, 1] (w:1, o:51, a:1, s:1, b:0),
% 10.21/10.63 'rest_relation' [121, 0] (w:1, o:5, a:1, s:1, b:0),
% 10.21/10.63 'recursion_equation_functions' [122, 1] (w:1, o:52, a:1, s:1, b:0),
% 10.21/10.63 'union_of_range_map' [123, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.21/10.63 recursion [124, 3] (w:1, o:131, a:1, s:1, b:0),
% 10.21/10.63 'ordinal_add' [125, 2] (w:1, o:121, a:1, s:1, b:0),
% 10.21/10.63 'add_relation' [126, 0] (w:1, o:38, a:1, s:1, b:0),
% 10.21/10.63 'ordinal_multiply' [127, 2] (w:1, o:122, a:1, s:1, b:0),
% 10.21/10.63 'integer_of' [128, 1] (w:1, o:76, a:1, s:1, b:0),
% 10.21/10.63 comp [129, 1] (w:1, o:59, a:1, s:1, b:0),
% 10.21/10.63 u [130, 0] (w:1, o:39, a:1, s:1, b:0),
% 10.21/10.63 x [131, 0] (w:1, o:40, a:1, s:1, b:0),
% 10.21/10.63 y [132, 0] (w:1, o:41, a:1, s:1, b:0),
% 10.21/10.63 z [133, 0] (w:1, o:42, a:1, s:1, b:0).
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Starting Search:
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 5356
% 145.06/145.54 Kept: 2012
% 145.06/145.54 Inuse: 110
% 145.06/145.54 Deleted: 2
% 145.06/145.54 Deletedinuse: 2
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 10269
% 145.06/145.54 Kept: 4140
% 145.06/145.54 Inuse: 188
% 145.06/145.54 Deleted: 30
% 145.06/145.54 Deletedinuse: 17
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 14908
% 145.06/145.54 Kept: 6544
% 145.06/145.54 Inuse: 269
% 145.06/145.54 Deleted: 37
% 145.06/145.54 Deletedinuse: 20
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 20407
% 145.06/145.54 Kept: 8548
% 145.06/145.54 Inuse: 329
% 145.06/145.54 Deleted: 73
% 145.06/145.54 Deletedinuse: 46
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 24673
% 145.06/145.54 Kept: 10744
% 145.06/145.54 Inuse: 369
% 145.06/145.54 Deleted: 75
% 145.06/145.54 Deletedinuse: 48
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 28309
% 145.06/145.54 Kept: 12745
% 145.06/145.54 Inuse: 412
% 145.06/145.54 Deleted: 80
% 145.06/145.54 Deletedinuse: 53
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 32388
% 145.06/145.54 Kept: 15120
% 145.06/145.54 Inuse: 429
% 145.06/145.54 Deleted: 81
% 145.06/145.54 Deletedinuse: 54
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 36670
% 145.06/145.54 Kept: 17170
% 145.06/145.54 Inuse: 488
% 145.06/145.54 Deleted: 83
% 145.06/145.54 Deletedinuse: 55
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 43329
% 145.06/145.54 Kept: 19193
% 145.06/145.54 Inuse: 527
% 145.06/145.54 Deleted: 87
% 145.06/145.54 Deletedinuse: 59
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying clauses:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 47877
% 145.06/145.54 Kept: 21261
% 145.06/145.54 Inuse: 568
% 145.06/145.54 Deleted: 1574
% 145.06/145.54 Deletedinuse: 61
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 52210
% 145.06/145.54 Kept: 23614
% 145.06/145.54 Inuse: 583
% 145.06/145.54 Deleted: 1574
% 145.06/145.54 Deletedinuse: 61
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 56483
% 145.06/145.54 Kept: 26115
% 145.06/145.54 Inuse: 608
% 145.06/145.54 Deleted: 1575
% 145.06/145.54 Deletedinuse: 62
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 62523
% 145.06/145.54 Kept: 28171
% 145.06/145.54 Inuse: 646
% 145.06/145.54 Deleted: 1577
% 145.06/145.54 Deletedinuse: 62
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 68766
% 145.06/145.54 Kept: 30178
% 145.06/145.54 Inuse: 682
% 145.06/145.54 Deleted: 1577
% 145.06/145.54 Deletedinuse: 62
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 78982
% 145.06/145.54 Kept: 32199
% 145.06/145.54 Inuse: 697
% 145.06/145.54 Deleted: 1578
% 145.06/145.54 Deletedinuse: 63
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 85820
% 145.06/145.54 Kept: 35910
% 145.06/145.54 Inuse: 711
% 145.06/145.54 Deleted: 1578
% 145.06/145.54 Deletedinuse: 63
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 93652
% 145.06/145.54 Kept: 38671
% 145.06/145.54 Inuse: 716
% 145.06/145.54 Deleted: 1578
% 145.06/145.54 Deletedinuse: 63
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 101190
% 145.06/145.54 Kept: 41236
% 145.06/145.54 Inuse: 721
% 145.06/145.54 Deleted: 1578
% 145.06/145.54 Deletedinuse: 63
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying clauses:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 106627
% 145.06/145.54 Kept: 43238
% 145.06/145.54 Inuse: 759
% 145.06/145.54 Deleted: 2805
% 145.06/145.54 Deletedinuse: 66
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 113252
% 145.06/145.54 Kept: 45250
% 145.06/145.54 Inuse: 802
% 145.06/145.54 Deleted: 2807
% 145.06/145.54 Deletedinuse: 66
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 117684
% 145.06/145.54 Kept: 47303
% 145.06/145.54 Inuse: 824
% 145.06/145.54 Deleted: 2808
% 145.06/145.54 Deletedinuse: 66
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 122112
% 145.06/145.54 Kept: 49319
% 145.06/145.54 Inuse: 867
% 145.06/145.54 Deleted: 2832
% 145.06/145.54 Deletedinuse: 90
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 130791
% 145.06/145.54 Kept: 51928
% 145.06/145.54 Inuse: 897
% 145.06/145.54 Deleted: 2839
% 145.06/145.54 Deletedinuse: 97
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54
% 145.06/145.54 Intermediate Status:
% 145.06/145.54 Generated: 137302
% 145.06/145.54 Kept: 54037
% 145.06/145.54 Inuse: 907
% 145.06/145.54 Deleted: 2839
% 145.06/145.54 Deletedinuse: 97
% 145.06/145.54
% 145.06/145.54 Resimplifying inuse:
% 145.06/145.54 Done
% 145.06/145.54
% 145.06/145.54 ResimCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------