TSTP Solution File: SET212-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET212-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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 22:48:11 EDT 2022

% Result   : Timeout 300.06s 300.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET212-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.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 : Sun Jul 10 10:40:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.70/1.10  *** allocated 10000 integers for termspace/termends
% 0.70/1.10  *** allocated 10000 integers for clauses
% 0.70/1.10  *** allocated 10000 integers for justifications
% 0.70/1.10  Bliksem 1.12
% 0.70/1.10  
% 0.70/1.10  
% 0.70/1.10  Automatic Strategy Selection
% 0.70/1.10  
% 0.70/1.10  Clauses:
% 0.70/1.10  [
% 0.70/1.10     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.70/1.10     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.70/1.10     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.70/1.10    ,
% 0.70/1.10     [ subclass( X, 'universal_class' ) ],
% 0.70/1.10     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.70/1.10     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.70/1.10     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.70/1.10     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.70/1.10    ,
% 0.70/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.70/1.10     ) ) ],
% 0.70/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.70/1.10     ) ) ],
% 0.70/1.10     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.70/1.10     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.70/1.10     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.70/1.11     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.70/1.11    X, Z ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.70/1.11    Y, T ) ],
% 0.70/1.11     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.70/1.11     ), 'cross_product'( Y, T ) ) ],
% 0.70/1.11     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.70/1.11     ), second( X ) ), X ) ],
% 0.70/1.11     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.70/1.11    Y ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.70/1.11    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.70/1.11    , Y ), 'element_relation' ) ],
% 0.70/1.11     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.70/1.11     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.70/1.11     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.70/1.11    Z ) ) ],
% 0.70/1.11     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.70/1.11    member( X, Y ) ],
% 0.70/1.11     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.70/1.11    union( X, Y ) ) ],
% 0.70/1.11     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.70/1.11    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.70/1.11    'symmetric_difference'( X, Y ) ) ],
% 0.70/1.11     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.70/1.11    ,
% 0.70/1.11     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.70/1.11    ,
% 0.70/1.11     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.70/1.11     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.70/1.11    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.70/1.11     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.70/1.11    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.70/1.11     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.70/1.11    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.70/1.11    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.70/1.11    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.70/1.11    Y ), rotate( T ) ) ],
% 0.70/1.11     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.70/1.11    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.70/1.11    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.70/1.11    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.70/1.11    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.70/1.11    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.70/1.11    Z ), flip( T ) ) ],
% 0.70/1.11     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.70/1.11    inverse( X ) ) ],
% 0.70/1.11     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.70/1.11     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.70/1.11    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.70/1.11     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.70/1.11    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.70/1.11     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.70/1.11     ],
% 0.70/1.11     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.70/1.11     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.70/1.11    successor( X ), Y ) ],
% 0.70/1.11     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.70/1.11    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.70/1.11    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.70/1.11     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.70/1.11     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.70/1.11    ,
% 0.70/1.11     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.70/1.11    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.70/1.11     [ inductive( omega ) ],
% 0.70/1.11     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.70/1.11     [ member( omega, 'universal_class' ) ],
% 0.70/1.11     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.70/1.11    , 'sum_class'( X ) ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.70/1.11    'universal_class' ) ],
% 0.70/1.11     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.70/1.11    'power_class'( X ) ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.70/1.11    'universal_class' ) ],
% 0.70/1.11     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.70/1.11    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.70/1.11     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.70/1.11    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.70/1.11     ) ],
% 0.70/1.11     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.70/1.11    , 'identity_relation' ) ],
% 0.70/1.11     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.70/1.11    'single_valued_class'( X ) ],
% 0.70/1.11     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.70/1.11    'identity_relation' ) ],
% 0.70/1.11     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.70/1.11     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.70/1.11    , function( X ) ],
% 0.70/1.11     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.70/1.11    X, Y ), 'universal_class' ) ],
% 0.70/1.11     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.70/1.11     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.70/1.11     ) ],
% 0.70/1.11     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.70/1.11     [ function( choice ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.70/1.11    apply( choice, X ), X ) ],
% 0.70/1.11     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.70/1.11     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.70/1.11     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.70/1.11    ,
% 0.70/1.11     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.70/1.11     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.70/1.11    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.70/1.11    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.70/1.11     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.70/1.11    'identity_relation' ) ],
% 0.70/1.11     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.70/1.11    , diagonalise( X ) ) ],
% 0.70/1.11     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.70/1.11    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.70/1.11     [ ~( operation( X ) ), function( X ) ],
% 0.70/1.11     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.70/1.11     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.70/1.11     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 0.70/1.11    'domain_of'( X ) ) ) ],
% 0.70/1.11     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.70/1.11     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 0.70/1.11    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 0.70/1.11    X ) ],
% 0.70/1.11     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.70/1.11     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 0.70/1.11    'domain_of'( X ) ) ],
% 0.70/1.11     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 0.70/1.11    'domain_of'( Z ) ) ) ],
% 0.70/1.11     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 0.70/1.11    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.70/1.11     ), compatible( X, Y, Z ) ],
% 0.70/1.11     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.70/1.11     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.70/1.11     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.70/1.11     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 0.70/1.11    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 0.70/1.11    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.70/1.11     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 0.70/1.11    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 0.70/1.11    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.70/1.11    , Y ) ],
% 0.70/1.11     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 0.70/1.11    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.70/1.11     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 0.70/1.11    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.70/1.11    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.70/1.11     [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =( 
% 0.70/1.11    compose( Z, X ), Y ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.70/1.11    , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member( 
% 0.70/1.11    'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.70/1.11     [ subclass( 'composition_function', 'cross_product'( 'universal_class', 
% 0.70/1.11    'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.70/1.11    'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.70/1.11    , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y, 
% 0.70/1.11    compose( X, Y ) ) ), 'composition_function' ) ],
% 0.70/1.11     [ subclass( 'domain_relation', 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =( 
% 0.70/1.11    'domain_of'( X ), Y ) ],
% 0.70/1.11     [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X, 
% 0.70/1.11    'domain_of'( X ) ), 'domain_relation' ) ],
% 0.70/1.11     [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ), 
% 0.70/1.11    'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.70/1.11     [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ), 
% 0.70/1.11    'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.70/1.11     [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.70/1.11     ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.70/1.11     [ =( intersection( complement( compose( 'element_relation', complement( 
% 0.70/1.11    'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.70/1.11    ,
% 0.70/1.11     [ subclass( 'application_function', 'cross_product'( 'universal_class', 
% 0.70/1.11    'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.70/1.11    'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.70/1.11    'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.70/1.11     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.70/1.11    'cross_product'( 'universal_class', 'cross_product'( 'universal_class', 
% 0.70/1.11    'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member( 
% 0.70/1.11    'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ), 
% 0.70/1.11    'application_function' ) ],
% 0.70/1.11     [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.70/1.11     [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 6.12/6.52     [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 6.12/6.52     [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X, 
% 6.12/6.52    'domain_of'( X ), Y ) ],
% 6.12/6.52     [ ~( subclass( 'cross_product'( x, y ), 'cross_product'( x, union( y, z
% 6.12/6.52     ) ) ) ) ]
% 6.12/6.52  ] .
% 6.12/6.52  
% 6.12/6.52  
% 6.12/6.52  percentage equality = 0.223744, percentage horn = 0.929204
% 6.12/6.52  This is a problem with some equality
% 6.12/6.52  
% 6.12/6.52  
% 6.12/6.52  
% 6.12/6.52  Options Used:
% 6.12/6.52  
% 6.12/6.52  useres =            1
% 6.12/6.52  useparamod =        1
% 6.12/6.52  useeqrefl =         1
% 6.12/6.52  useeqfact =         1
% 6.12/6.52  usefactor =         1
% 6.12/6.52  usesimpsplitting =  0
% 6.12/6.52  usesimpdemod =      5
% 6.12/6.52  usesimpres =        3
% 6.12/6.52  
% 6.12/6.52  resimpinuse      =  1000
% 6.12/6.52  resimpclauses =     20000
% 6.12/6.52  substype =          eqrewr
% 6.12/6.52  backwardsubs =      1
% 6.12/6.52  selectoldest =      5
% 6.12/6.52  
% 6.12/6.52  litorderings [0] =  split
% 6.12/6.52  litorderings [1] =  extend the termordering, first sorting on arguments
% 6.12/6.52  
% 6.12/6.52  termordering =      kbo
% 6.12/6.52  
% 6.12/6.52  litapriori =        0
% 6.12/6.52  termapriori =       1
% 6.12/6.52  litaposteriori =    0
% 6.12/6.52  termaposteriori =   0
% 6.12/6.52  demodaposteriori =  0
% 6.12/6.52  ordereqreflfact =   0
% 6.12/6.52  
% 6.12/6.52  litselect =         negord
% 6.12/6.52  
% 6.12/6.52  maxweight =         15
% 6.12/6.52  maxdepth =          30000
% 6.12/6.52  maxlength =         115
% 6.12/6.52  maxnrvars =         195
% 6.12/6.52  excuselevel =       1
% 6.12/6.52  increasemaxweight = 1
% 6.12/6.52  
% 6.12/6.52  maxselected =       10000000
% 6.12/6.52  maxnrclauses =      10000000
% 6.12/6.52  
% 6.12/6.52  showgenerated =    0
% 6.12/6.52  showkept =         0
% 6.12/6.52  showselected =     0
% 6.12/6.52  showdeleted =      0
% 6.12/6.52  showresimp =       1
% 6.12/6.52  showstatus =       2000
% 6.12/6.52  
% 6.12/6.52  prologoutput =     1
% 6.12/6.52  nrgoals =          5000000
% 6.12/6.52  totalproof =       1
% 6.12/6.52  
% 6.12/6.52  Symbols occurring in the translation:
% 6.12/6.52  
% 6.12/6.52  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 6.12/6.52  .  [1, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 6.12/6.52  !  [4, 1]      (w:0, o:36, a:1, s:1, b:0), 
% 6.12/6.52  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 6.12/6.52  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 6.12/6.52  subclass  [41, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 6.12/6.52  member  [43, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 6.12/6.52  'not_subclass_element'  [44, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 6.12/6.52  'universal_class'  [45, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 6.12/6.52  'unordered_pair'  [46, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 6.12/6.52  singleton  [47, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 6.12/6.52  'ordered_pair'  [48, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 6.12/6.52  'cross_product'  [50, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 6.12/6.52  first  [52, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 6.12/6.52  second  [53, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 6.12/6.52  'element_relation'  [54, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 6.12/6.52  intersection  [55, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 6.12/6.52  complement  [56, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 6.12/6.52  union  [57, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 6.12/6.52  'symmetric_difference'  [58, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 6.12/6.52  restrict  [60, 3]      (w:1, o:102, a:1, s:1, b:0), 
% 6.12/6.52  'null_class'  [61, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 6.12/6.52  'domain_of'  [62, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 6.12/6.52  rotate  [63, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 6.12/6.52  flip  [65, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 6.12/6.52  inverse  [66, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 6.12/6.52  'range_of'  [67, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 6.12/6.52  domain  [68, 3]      (w:1, o:104, a:1, s:1, b:0), 
% 6.12/6.52  range  [69, 3]      (w:1, o:105, a:1, s:1, b:0), 
% 6.12/6.52  image  [70, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 6.12/6.52  successor  [71, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 6.12/6.52  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 6.12/6.52  inductive  [73, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 6.12/6.52  omega  [74, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 6.12/6.52  'sum_class'  [75, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 6.12/6.52  'power_class'  [76, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 6.12/6.52  compose  [78, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 6.12/6.52  'single_valued_class'  [79, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 6.12/6.52  'identity_relation'  [80, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 6.12/6.52  function  [82, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 6.12/6.52  regular  [83, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 6.12/6.52  apply  [84, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 6.12/6.52  choice  [85, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 6.12/6.52  'one_to_one'  [86, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 6.12/6.52  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 6.12/6.52  diagonalise  [88, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 6.12/6.52  cantor  [89, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 6.12/6.52  operation  [90, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 6.12/6.52  compatible  [94, 3]      (w:1, o:103, a:1, s:1, b:0), 
% 6.12/6.52  homomorphism  [95, 3]      (w:1, o:106, a:1, s:1, b:0), 
% 127.82/128.25  'not_homomorphism1'  [96, 3]      (w:1, o:108, a:1, s:1, b:0), 
% 127.82/128.25  'not_homomorphism2'  [97, 3]      (w:1, o:109, a:1, s:1, b:0), 
% 127.82/128.25  'compose_class'  [98, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 127.82/128.25  'composition_function'  [99, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 127.82/128.25  'domain_relation'  [100, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 127.82/128.25  'single_valued1'  [101, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 127.82/128.25  'single_valued2'  [102, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 127.82/128.25  'single_valued3'  [103, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 127.82/128.25  'singleton_relation'  [104, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 127.82/128.25  'application_function'  [105, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 127.82/128.25  maps  [106, 3]      (w:1, o:107, a:1, s:1, b:0), 
% 127.82/128.25  x  [107, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 127.82/128.25  y  [108, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 127.82/128.25  z  [109, 0]      (w:1, o:35, a:1, s:1, b:0).
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Starting Search:
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    5517
% 127.82/128.25  Kept:         2048
% 127.82/128.25  Inuse:        104
% 127.82/128.25  Deleted:      4
% 127.82/128.25  Deletedinuse: 2
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    10258
% 127.82/128.25  Kept:         4064
% 127.82/128.25  Inuse:        189
% 127.82/128.25  Deleted:      22
% 127.82/128.25  Deletedinuse: 14
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    14141
% 127.82/128.25  Kept:         6104
% 127.82/128.25  Inuse:        240
% 127.82/128.25  Deleted:      26
% 127.82/128.25  Deletedinuse: 15
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    18875
% 127.82/128.25  Kept:         8127
% 127.82/128.25  Inuse:        294
% 127.82/128.25  Deleted:      82
% 127.82/128.25  Deletedinuse: 70
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    24280
% 127.82/128.25  Kept:         10412
% 127.82/128.25  Inuse:        367
% 127.82/128.25  Deleted:      92
% 127.82/128.25  Deletedinuse: 78
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    27872
% 127.82/128.25  Kept:         12436
% 127.82/128.25  Inuse:        392
% 127.82/128.25  Deleted:      97
% 127.82/128.25  Deletedinuse: 83
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    32107
% 127.82/128.25  Kept:         14550
% 127.82/128.25  Inuse:        432
% 127.82/128.25  Deleted:      99
% 127.82/128.25  Deletedinuse: 85
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    35417
% 127.82/128.25  Kept:         16587
% 127.82/128.25  Inuse:        459
% 127.82/128.25  Deleted:      99
% 127.82/128.25  Deletedinuse: 85
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    42085
% 127.82/128.25  Kept:         19676
% 127.82/128.25  Inuse:        467
% 127.82/128.25  Deleted:      99
% 127.82/128.25  Deletedinuse: 85
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying clauses:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    47602
% 127.82/128.25  Kept:         21713
% 127.82/128.25  Inuse:        482
% 127.82/128.25  Deleted:      3174
% 127.82/128.25  Deletedinuse: 86
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    53103
% 127.82/128.25  Kept:         23730
% 127.82/128.25  Inuse:        526
% 127.82/128.25  Deleted:      3174
% 127.82/128.25  Deletedinuse: 86
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    56960
% 127.82/128.25  Kept:         25737
% 127.82/128.25  Inuse:        570
% 127.82/128.25  Deleted:      3178
% 127.82/128.25  Deletedinuse: 90
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    65843
% 127.82/128.25  Kept:         28380
% 127.82/128.25  Inuse:        602
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    71903
% 127.82/128.25  Kept:         30440
% 127.82/128.25  Inuse:        641
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    77272
% 127.82/128.25  Kept:         32498
% 127.82/128.25  Inuse:        680
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    81998
% 127.82/128.25  Kept:         34533
% 127.82/128.25  Inuse:        713
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    87606
% 127.82/128.25  Kept:         36580
% 127.82/128.25  Inuse:        754
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    93264
% 127.82/128.25  Kept:         38580
% 127.82/128.25  Inuse:        786
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  Resimplifying inuse:
% 127.82/128.25  Done
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    102631
% 127.82/128.25  Kept:         40586
% 127.82/128.25  Inuse:        816
% 127.82/128.25  Deleted:      3185
% 127.82/128.25  Deletedinuse: 97
% 127.82/128.25  
% 127.82/128.25  
% 127.82/128.25  Intermediate Status:
% 127.82/128.25  Generated:    107279
% 127.82/128.25  Kept:         Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------