TSTP Solution File: SET092-7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET092-7 : 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 22:46:55 EDT 2022
% Result : Timeout 300.03s 300.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET092-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 21:32:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.13 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.73/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ subclass( X, 'universal_class' ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.73/1.13 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.73/1.13 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.73/1.13 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.73/1.13 ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.73/1.13 ) ) ],
% 0.73/1.13 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.73/1.13 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.73/1.13 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.73/1.13 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 X, Z ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 Y, T ) ],
% 0.73/1.13 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.73/1.13 ), 'cross_product'( Y, T ) ) ],
% 0.73/1.13 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.73/1.13 ), second( X ) ), X ) ],
% 0.73/1.13 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.73/1.13 Y ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.13 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.73/1.13 , Y ), 'element_relation' ) ],
% 0.73/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.73/1.13 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.73/1.13 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.73/1.13 Z ) ) ],
% 0.73/1.13 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.73/1.13 member( X, Y ) ],
% 0.73/1.13 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.73/1.13 union( X, Y ) ) ],
% 0.73/1.13 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.73/1.13 intersection( complement( X ), complement( Y ) ) ) ),
% 0.73/1.13 'symmetric_difference'( X, Y ) ) ],
% 0.73/1.13 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.73/1.13 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.73/1.13 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.73/1.13 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.73/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.73/1.13 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.73/1.13 Y ), rotate( T ) ) ],
% 0.73/1.13 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.73/1.13 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.73/1.13 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.73/1.13 Z ), flip( T ) ) ],
% 0.73/1.13 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.73/1.13 inverse( X ) ) ],
% 0.73/1.13 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.73/1.13 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.73/1.13 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.73/1.13 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.73/1.13 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.73/1.13 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.73/1.13 ],
% 0.73/1.13 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.73/1.13 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.73/1.13 successor( X ), Y ) ],
% 0.73/1.13 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.73/1.13 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.73/1.13 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.73/1.13 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.73/1.13 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.73/1.13 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.73/1.13 [ inductive( omega ) ],
% 0.73/1.13 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.73/1.13 [ member( omega, 'universal_class' ) ],
% 0.73/1.13 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.73/1.13 , 'sum_class'( X ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.73/1.13 'universal_class' ) ],
% 0.73/1.13 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.73/1.13 'power_class'( X ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.73/1.13 'universal_class' ) ],
% 0.73/1.13 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.73/1.13 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.73/1.13 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.73/1.13 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.73/1.13 ) ],
% 0.73/1.13 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.73/1.13 , 'identity_relation' ) ],
% 0.73/1.13 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.73/1.13 'single_valued_class'( X ) ],
% 0.73/1.13 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ],
% 0.73/1.13 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.73/1.13 'identity_relation' ) ],
% 0.73/1.13 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.13 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.73/1.13 , function( X ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.73/1.13 X, Y ), 'universal_class' ) ],
% 0.73/1.13 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.73/1.13 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.73/1.13 ) ],
% 0.73/1.13 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.73/1.13 [ function( choice ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.73/1.13 apply( choice, X ), X ) ],
% 0.73/1.13 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.73/1.13 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.73/1.13 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.73/1.13 ,
% 0.73/1.13 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.13 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.73/1.13 , complement( compose( complement( 'element_relation' ), inverse(
% 0.73/1.13 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.73/1.13 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.73/1.13 'identity_relation' ) ],
% 0.73/1.13 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.73/1.13 , diagonalise( X ) ) ],
% 0.73/1.13 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.73/1.13 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), function( X ) ],
% 0.73/1.13 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.73/1.13 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.13 'domain_of'( X ) ) ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.73/1.13 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.73/1.13 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.73/1.13 X ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.73/1.13 'domain_of'( X ) ) ],
% 0.73/1.13 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.73/1.13 'domain_of'( Z ) ) ) ],
% 0.73/1.13 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.73/1.13 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.73/1.13 ), compatible( X, Y, Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.73/1.13 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.73/1.13 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.73/1.13 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.73/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.73/1.13 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.73/1.13 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.73/1.13 , Y ) ],
% 0.73/1.13 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.73/1.13 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.73/1.13 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.73/1.13 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.73/1.13 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 X, 'unordered_pair'( X, Y ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 Y, 'unordered_pair'( X, Y ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 X, 'universal_class' ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.13 Y, 'universal_class' ) ],
% 0.73/1.13 [ subclass( X, X ) ],
% 0.73/1.13 [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 0.73/1.13 [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member(
% 0.73/1.13 'not_subclass_element'( Y, X ), Y ) ],
% 0.73/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member(
% 0.73/1.13 'not_subclass_element'( Y, X ), Y ) ],
% 0.73/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member(
% 0.73/1.13 'not_subclass_element'( Y, X ), Y ) ],
% 0.73/1.13 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member(
% 0.73/1.13 'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 0.73/1.13 [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 0.73/1.13 [ ~( member( X, 'null_class' ) ) ],
% 0.73/1.13 [ subclass( 'null_class', X ) ],
% 0.73/1.13 [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 0.73/1.13 [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 0.73/1.13 ), X ) ],
% 0.73/1.13 [ member( 'null_class', 'universal_class' ) ],
% 0.73/1.13 [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 0.73/1.13 [ subclass( singleton( X ), 'unordered_pair'( X, Y ) ) ],
% 0.73/1.13 [ subclass( singleton( X ), 'unordered_pair'( Y, X ) ) ],
% 0.73/1.13 [ member( X, 'universal_class' ), =( 'unordered_pair'( Y, X ), singleton(
% 0.73/1.13 Y ) ) ],
% 0.73/1.13 [ member( X, 'universal_class' ), =( 'unordered_pair'( X, Y ), singleton(
% 0.73/1.13 Y ) ) ],
% 0.73/1.13 [ =( 'unordered_pair'( X, Y ), 'null_class' ), member( X,
% 0.73/1.13 'universal_class' ), member( Y, 'universal_class' ) ],
% 0.73/1.13 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( X, Z ) ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( Y, Z ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ), =( Y, Z ) ],
% 0.73/1.13 [ ~( =( 'unordered_pair'( X, Y ), 'unordered_pair'( Z, Y ) ) ), ~(
% 0.73/1.13 member( 'ordered_pair'( X, Z ), 'cross_product'( 'universal_class',
% 0.73/1.13 'universal_class' ) ) ), =( X, Z ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( X, Y ),
% 0.73/1.13 'null_class' ) ) ],
% 0.73/1.13 [ ~( member( X, 'universal_class' ) ), ~( =( 'unordered_pair'( Y, X ),
% 0.73/1.13 'null_class' ) ) ],
% 0.73/1.13 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), ~( =(
% 0.73/1.13 'unordered_pair'( X, Y ), 'null_class' ) ) ],
% 6.92/7.35 [ ~( member( X, Y ) ), ~( member( Z, Y ) ), subclass( 'unordered_pair'(
% 6.92/7.35 X, Z ), Y ) ],
% 6.92/7.35 [ member( singleton( X ), 'universal_class' ) ],
% 6.92/7.35 [ member( singleton( X ), 'unordered_pair'( Y, singleton( X ) ) ) ],
% 6.92/7.35 [ ~( member( X, 'universal_class' ) ), member( X, singleton( X ) ) ]
% 6.92/7.35 ,
% 6.92/7.35 [ ~( member( X, 'universal_class' ) ), ~( =( singleton( X ),
% 6.92/7.35 'null_class' ) ) ],
% 6.92/7.35 [ member( 'null_class', singleton( 'null_class' ) ) ],
% 6.92/7.35 [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ],
% 6.92/7.35 [ member( X, 'universal_class' ), =( singleton( X ), 'null_class' ) ]
% 6.92/7.35 ,
% 6.92/7.35 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( X,
% 6.92/7.35 'universal_class' ) ), =( X, Y ) ],
% 6.92/7.35 [ ~( =( singleton( X ), singleton( Y ) ) ), ~( member( Y,
% 6.92/7.35 'universal_class' ) ), =( X, Y ) ],
% 6.92/7.35 [ ~( =( 'unordered_pair'( X, Y ), singleton( Z ) ) ), ~( member( Z,
% 6.92/7.35 'universal_class' ) ), =( Z, X ), =( Z, Y ) ],
% 6.92/7.35 [ ~( member( X, 'universal_class' ) ), member( 'member_of'( singleton( X
% 6.92/7.35 ) ), 'universal_class' ) ],
% 6.92/7.36 [ ~( member( X, 'universal_class' ) ), =( singleton( 'member_of'(
% 6.92/7.36 singleton( X ) ) ), singleton( X ) ) ],
% 6.92/7.36 [ member( 'member_of'( X ), 'universal_class' ), =( 'member_of'( X ), X
% 6.92/7.36 ) ],
% 6.92/7.36 [ =( singleton( 'member_of'( X ) ), X ), =( 'member_of'( X ), X ) ],
% 6.92/7.36 [ ~( member( X, 'universal_class' ) ), =( 'member_of'( singleton( X ) )
% 6.92/7.36 , X ) ],
% 6.92/7.36 [ ~( =( singleton( 'member_of1'( x ) ), x ) ) ],
% 6.92/7.36 [ ~( =( 'member_of'( x ), x ) ) ]
% 6.92/7.36 ] .
% 6.92/7.36
% 6.92/7.36
% 6.92/7.36 percentage equality = 0.269373, percentage horn = 0.860294
% 6.92/7.36 This is a problem with some equality
% 6.92/7.36
% 6.92/7.36
% 6.92/7.36
% 6.92/7.36 Options Used:
% 6.92/7.36
% 6.92/7.36 useres = 1
% 6.92/7.36 useparamod = 1
% 6.92/7.36 useeqrefl = 1
% 6.92/7.36 useeqfact = 1
% 6.92/7.36 usefactor = 1
% 6.92/7.36 usesimpsplitting = 0
% 6.92/7.36 usesimpdemod = 5
% 6.92/7.36 usesimpres = 3
% 6.92/7.36
% 6.92/7.36 resimpinuse = 1000
% 6.92/7.36 resimpclauses = 20000
% 6.92/7.36 substype = eqrewr
% 6.92/7.36 backwardsubs = 1
% 6.92/7.36 selectoldest = 5
% 6.92/7.36
% 6.92/7.36 litorderings [0] = split
% 6.92/7.36 litorderings [1] = extend the termordering, first sorting on arguments
% 6.92/7.36
% 6.92/7.36 termordering = kbo
% 6.92/7.36
% 6.92/7.36 litapriori = 0
% 6.92/7.36 termapriori = 1
% 6.92/7.36 litaposteriori = 0
% 6.92/7.36 termaposteriori = 0
% 6.92/7.36 demodaposteriori = 0
% 6.92/7.36 ordereqreflfact = 0
% 6.92/7.36
% 6.92/7.36 litselect = negord
% 6.92/7.36
% 6.92/7.36 maxweight = 15
% 6.92/7.36 maxdepth = 30000
% 6.92/7.36 maxlength = 115
% 6.92/7.36 maxnrvars = 195
% 6.92/7.36 excuselevel = 1
% 6.92/7.36 increasemaxweight = 1
% 6.92/7.36
% 6.92/7.36 maxselected = 10000000
% 6.92/7.36 maxnrclauses = 10000000
% 6.92/7.36
% 6.92/7.36 showgenerated = 0
% 6.92/7.36 showkept = 0
% 6.92/7.36 showselected = 0
% 6.92/7.36 showdeleted = 0
% 6.92/7.36 showresimp = 1
% 6.92/7.36 showstatus = 2000
% 6.92/7.36
% 6.92/7.36 prologoutput = 1
% 6.92/7.36 nrgoals = 5000000
% 6.92/7.36 totalproof = 1
% 6.92/7.36
% 6.92/7.36 Symbols occurring in the translation:
% 6.92/7.36
% 6.92/7.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.92/7.36 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 6.92/7.36 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 6.92/7.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.92/7.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.92/7.36 subclass [41, 2] (w:1, o:82, a:1, s:1, b:0),
% 6.92/7.36 member [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 6.92/7.36 'not_subclass_element' [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 6.92/7.36 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 6.92/7.36 'unordered_pair' [46, 2] (w:1, o:85, a:1, s:1, b:0),
% 6.92/7.36 singleton [47, 1] (w:1, o:38, a:1, s:1, b:0),
% 6.92/7.36 'ordered_pair' [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 6.92/7.36 'cross_product' [50, 2] (w:1, o:87, a:1, s:1, b:0),
% 6.92/7.36 first [52, 1] (w:1, o:39, a:1, s:1, b:0),
% 6.92/7.36 second [53, 1] (w:1, o:40, a:1, s:1, b:0),
% 6.92/7.36 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 6.92/7.36 intersection [55, 2] (w:1, o:89, a:1, s:1, b:0),
% 6.92/7.36 complement [56, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.92/7.36 union [57, 2] (w:1, o:90, a:1, s:1, b:0),
% 6.92/7.36 'symmetric_difference' [58, 2] (w:1, o:91, a:1, s:1, b:0),
% 6.92/7.36 restrict [60, 3] (w:1, o:94, a:1, s:1, b:0),
% 6.92/7.36 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 6.92/7.36 'domain_of' [62, 1] (w:1, o:43, a:1, s:1, b:0),
% 6.92/7.36 rotate [63, 1] (w:1, o:35, a:1, s:1, b:0),
% 6.92/7.36 flip [65, 1] (w:1, o:44, a:1, s:1, b:0),
% 6.92/7.36 inverse [66, 1] (w:1, o:45, a:1, s:1, b:0),
% 6.92/7.36 'range_of' [67, 1] (w:1, o:36, a:1, s:1, b:0),
% 6.92/7.36 domain [68, 3] (w:1, o:96, a:1, s:1, b:0),
% 109.41/109.81 range [69, 3] (w:1, o:97, a:1, s:1, b:0),
% 109.41/109.81 image [70, 2] (w:1, o:88, a:1, s:1, b:0),
% 109.41/109.81 successor [71, 1] (w:1, o:46, a:1, s:1, b:0),
% 109.41/109.81 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 109.41/109.81 inductive [73, 1] (w:1, o:47, a:1, s:1, b:0),
% 109.41/109.81 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 109.41/109.81 'sum_class' [75, 1] (w:1, o:48, a:1, s:1, b:0),
% 109.41/109.81 'power_class' [76, 1] (w:1, o:51, a:1, s:1, b:0),
% 109.41/109.81 compose [78, 2] (w:1, o:92, a:1, s:1, b:0),
% 109.41/109.81 'single_valued_class' [79, 1] (w:1, o:52, a:1, s:1, b:0),
% 109.41/109.81 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 109.41/109.81 function [82, 1] (w:1, o:53, a:1, s:1, b:0),
% 109.41/109.81 regular [83, 1] (w:1, o:37, a:1, s:1, b:0),
% 109.41/109.81 apply [84, 2] (w:1, o:93, a:1, s:1, b:0),
% 109.41/109.81 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 109.41/109.81 'one_to_one' [86, 1] (w:1, o:49, a:1, s:1, b:0),
% 109.41/109.81 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 109.41/109.81 diagonalise [88, 1] (w:1, o:54, a:1, s:1, b:0),
% 109.41/109.81 cantor [89, 1] (w:1, o:42, a:1, s:1, b:0),
% 109.41/109.81 operation [90, 1] (w:1, o:50, a:1, s:1, b:0),
% 109.41/109.81 compatible [94, 3] (w:1, o:95, a:1, s:1, b:0),
% 109.41/109.81 homomorphism [95, 3] (w:1, o:98, a:1, s:1, b:0),
% 109.41/109.81 'not_homomorphism1' [96, 3] (w:1, o:99, a:1, s:1, b:0),
% 109.41/109.81 'not_homomorphism2' [97, 3] (w:1, o:100, a:1, s:1, b:0),
% 109.41/109.81 'member_of' [98, 1] (w:1, o:55, a:1, s:1, b:0),
% 109.41/109.81 x [99, 0] (w:1, o:29, a:1, s:1, b:0),
% 109.41/109.81 'member_of1' [100, 1] (w:1, o:56, a:1, s:1, b:0).
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Starting Search:
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 4100
% 109.41/109.81 Kept: 2010
% 109.41/109.81 Inuse: 121
% 109.41/109.81 Deleted: 5
% 109.41/109.81 Deletedinuse: 2
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 9996
% 109.41/109.81 Kept: 4045
% 109.41/109.81 Inuse: 196
% 109.41/109.81 Deleted: 9
% 109.41/109.81 Deletedinuse: 4
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 15219
% 109.41/109.81 Kept: 6053
% 109.41/109.81 Inuse: 277
% 109.41/109.81 Deleted: 57
% 109.41/109.81 Deletedinuse: 39
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 20674
% 109.41/109.81 Kept: 8053
% 109.41/109.81 Inuse: 355
% 109.41/109.81 Deleted: 65
% 109.41/109.81 Deletedinuse: 45
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 27119
% 109.41/109.81 Kept: 10148
% 109.41/109.81 Inuse: 391
% 109.41/109.81 Deleted: 65
% 109.41/109.81 Deletedinuse: 45
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 37050
% 109.41/109.81 Kept: 12322
% 109.41/109.81 Inuse: 435
% 109.41/109.81 Deleted: 67
% 109.41/109.81 Deletedinuse: 46
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 47023
% 109.41/109.81 Kept: 16047
% 109.41/109.81 Inuse: 475
% 109.41/109.81 Deleted: 75
% 109.41/109.81 Deletedinuse: 49
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 52649
% 109.41/109.81 Kept: 18058
% 109.41/109.81 Inuse: 488
% 109.41/109.81 Deleted: 78
% 109.41/109.81 Deletedinuse: 52
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying clauses:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 61646
% 109.41/109.81 Kept: 20085
% 109.41/109.81 Inuse: 492
% 109.41/109.81 Deleted: 1168
% 109.41/109.81 Deletedinuse: 53
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 68072
% 109.41/109.81 Kept: 22261
% 109.41/109.81 Inuse: 509
% 109.41/109.81 Deleted: 1169
% 109.41/109.81 Deletedinuse: 53
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 73938
% 109.41/109.81 Kept: 24261
% 109.41/109.81 Inuse: 523
% 109.41/109.81 Deleted: 1177
% 109.41/109.81 Deletedinuse: 61
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 81265
% 109.41/109.81 Kept: 26283
% 109.41/109.81 Inuse: 566
% 109.41/109.81 Deleted: 1180
% 109.41/109.81 Deletedinuse: 61
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 86551
% 109.41/109.81 Kept: 28305
% 109.41/109.81 Inuse: 607
% 109.41/109.81 Deleted: 1180
% 109.41/109.81 Deletedinuse: 61
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 94810
% 109.41/109.81 Kept: 30409
% 109.41/109.81 Inuse: 641
% 109.41/109.81 Deleted: 1185
% 109.41/109.81 Deletedinuse: 66
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 101677
% 109.41/109.81 Kept: 32433
% 109.41/109.81 Inuse: 671
% 109.41/109.81 Deleted: 1185
% 109.41/109.81 Deletedinuse: 66
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81 Resimplifying inuse:
% 109.41/109.81 Done
% 109.41/109.81
% 109.41/109.81
% 109.41/109.81 Intermediate Status:
% 109.41/109.81 Generated: 108241
% 109.41/109.81 Kept: 34470
% 109.41/109.81 Inuse: 710
% 109.41/109.81 Deleted: 1185Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------