TSTP Solution File: SET330-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET330-6 : 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 22:48:52 EDT 2022

% Result   : Timeout 300.02s 300.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET330-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Sat Jul  9 23:43:06 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.88/1.26  *** allocated 10000 integers for termspace/termends
% 0.88/1.26  *** allocated 10000 integers for clauses
% 0.88/1.26  *** allocated 10000 integers for justifications
% 0.88/1.26  Bliksem 1.12
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Automatic Strategy Selection
% 0.88/1.26  
% 0.88/1.26  Clauses:
% 0.88/1.26  [
% 0.88/1.26     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.88/1.26     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.88/1.26     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ subclass( X, 'universal_class' ) ],
% 0.88/1.26     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.88/1.26     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.88/1.26     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.88/1.26     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.88/1.26     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.88/1.26     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.88/1.26     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.88/1.26    X, Z ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.88/1.26    Y, T ) ],
% 0.88/1.26     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.88/1.26     ), 'cross_product'( Y, T ) ) ],
% 0.88/1.26     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.88/1.26     ), second( X ) ), X ) ],
% 0.88/1.26     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.88/1.26    Y ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.88/1.26    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.88/1.26    , Y ), 'element_relation' ) ],
% 0.88/1.26     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.88/1.26     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.88/1.26     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.88/1.26    Z ) ) ],
% 0.88/1.26     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.88/1.26    member( X, Y ) ],
% 0.88/1.26     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.88/1.26    union( X, Y ) ) ],
% 0.88/1.26     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.88/1.26    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.88/1.26    'symmetric_difference'( X, Y ) ) ],
% 0.88/1.26     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.88/1.26     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.88/1.26    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.88/1.26     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.88/1.26    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.88/1.26     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.88/1.26    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.88/1.26    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.88/1.26    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.88/1.26    Y ), rotate( T ) ) ],
% 0.88/1.26     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.88/1.26    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.88/1.26    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.88/1.26    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.88/1.26    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.88/1.26    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.88/1.26    Z ), flip( T ) ) ],
% 0.88/1.26     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.88/1.26    inverse( X ) ) ],
% 0.88/1.26     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.88/1.26     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.88/1.26    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.88/1.26     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.88/1.26    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.88/1.26     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.88/1.26     ],
% 0.88/1.26     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.88/1.26     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.88/1.26    successor( X ), Y ) ],
% 0.88/1.26     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.88/1.26    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.88/1.26    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.88/1.26     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.88/1.26     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.88/1.26    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.88/1.26     [ inductive( omega ) ],
% 0.88/1.26     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.88/1.26     [ member( omega, 'universal_class' ) ],
% 0.88/1.26     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.88/1.26    , 'sum_class'( X ) ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.88/1.26    'universal_class' ) ],
% 0.88/1.26     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.88/1.26    'power_class'( X ) ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.88/1.26    'universal_class' ) ],
% 0.88/1.26     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.88/1.26    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.88/1.26     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.88/1.26    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.88/1.26    , 'identity_relation' ) ],
% 0.88/1.26     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.88/1.26    'single_valued_class'( X ) ],
% 0.88/1.26     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.88/1.26    'identity_relation' ) ],
% 0.88/1.26     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.88/1.26     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.88/1.26    , function( X ) ],
% 0.88/1.26     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.88/1.26    X, Y ), 'universal_class' ) ],
% 0.88/1.26     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.88/1.26     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.88/1.26     ) ],
% 0.88/1.26     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.88/1.26     [ function( choice ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.88/1.26    apply( choice, X ), X ) ],
% 0.88/1.26     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.88/1.26     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.88/1.26     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.88/1.26     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.88/1.26    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.88/1.26    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.88/1.26     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.88/1.26    'identity_relation' ) ],
% 0.88/1.26     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.88/1.26    , diagonalise( X ) ) ],
% 0.88/1.26     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.88/1.26    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.88/1.26     [ ~( operation( X ) ), function( X ) ],
% 0.88/1.26     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.88/1.26     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.88/1.26     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 0.88/1.26    'domain_of'( X ) ) ) ],
% 0.88/1.26     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.88/1.26     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 0.88/1.26    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 0.88/1.26    X ) ],
% 0.88/1.26     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.88/1.26     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 0.88/1.26    'domain_of'( X ) ) ],
% 0.88/1.26     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 0.88/1.26    'domain_of'( Z ) ) ) ],
% 0.88/1.26     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 0.88/1.26    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.88/1.26     ), compatible( X, Y, Z ) ],
% 0.88/1.26     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.88/1.26     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.88/1.26     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.88/1.26     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 0.88/1.26    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 0.88/1.26    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.88/1.26     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 0.88/1.26    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 0.88/1.26    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.88/1.26    , Y ) ],
% 0.88/1.26     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 0.88/1.26    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.88/1.26     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 0.88/1.26    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.88/1.26    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.88/1.26     [ subclass( 'compose_class'( X ), 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ), =( 
% 0.88/1.26    compose( Z, X ), Y ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.88/1.26    , 'universal_class' ) ) ), ~( =( compose( Z, X ), Y ) ), member( 
% 0.88/1.26    'ordered_pair'( X, Y ), 'compose_class'( Z ) ) ],
% 0.88/1.26     [ subclass( 'composition_function', 'cross_product'( 'universal_class', 
% 0.88/1.26    'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.88/1.26    'composition_function' ) ), =( compose( X, Y ), Z ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.88/1.26    , 'universal_class' ) ) ), member( 'ordered_pair'( X, 'ordered_pair'( Y, 
% 0.88/1.26    compose( X, Y ) ) ), 'composition_function' ) ],
% 0.88/1.26     [ subclass( 'domain_relation', 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, Y ), 'domain_relation' ) ), =( 
% 0.88/1.26    'domain_of'( X ), Y ) ],
% 0.88/1.26     [ ~( member( X, 'universal_class' ) ), member( 'ordered_pair'( X, 
% 0.88/1.26    'domain_of'( X ) ), 'domain_relation' ) ],
% 0.88/1.26     [ =( first( 'not_subclass_element'( compose( X, inverse( X ) ), 
% 0.88/1.26    'identity_relation' ) ), 'single_valued1'( X ) ) ],
% 0.88/1.26     [ =( second( 'not_subclass_element'( compose( X, inverse( X ) ), 
% 0.88/1.26    'identity_relation' ) ), 'single_valued2'( X ) ) ],
% 0.88/1.26     [ =( domain( X, image( inverse( X ), singleton( 'single_valued1'( X ) )
% 0.88/1.26     ), 'single_valued2'( X ) ), 'single_valued3'( X ) ) ],
% 0.88/1.26     [ =( intersection( complement( compose( 'element_relation', complement( 
% 0.88/1.26    'identity_relation' ) ) ), 'element_relation' ), 'singleton_relation' ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ subclass( 'application_function', 'cross_product'( 'universal_class', 
% 0.88/1.26    'cross_product'( 'universal_class', 'universal_class' ) ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.88/1.26    'application_function' ) ), member( Y, 'domain_of'( X ) ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.88/1.26    'application_function' ) ), =( apply( X, Y ), Z ) ],
% 0.88/1.26     [ ~( member( 'ordered_pair'( X, 'ordered_pair'( Y, Z ) ), 
% 0.88/1.26    'cross_product'( 'universal_class', 'cross_product'( 'universal_class', 
% 0.88/1.26    'universal_class' ) ) ) ), ~( member( Y, 'domain_of'( X ) ) ), member( 
% 0.88/1.26    'ordered_pair'( X, 'ordered_pair'( Y, apply( X, Y ) ) ), 
% 0.88/1.26    'application_function' ) ],
% 0.88/1.26     [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.88/1.26     [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 8.10/8.51     [ ~( maps( X, Y, Z ) ), subclass( 'range_of'( X ), Z ) ],
% 8.10/8.51     [ ~( function( X ) ), ~( subclass( 'range_of'( X ), Y ) ), maps( X, 
% 8.10/8.51    'domain_of'( X ), Y ) ],
% 8.10/8.51     [ member( 'ordered_pair'( x, y ), xr ) ],
% 8.10/8.51     [ member( 'ordered_pair'( x, y ), 'cross_product'( 'universal_class', 
% 8.10/8.51    'universal_class' ) ) ],
% 8.10/8.51     [ ~( member( y, image( xr, singleton( x ) ) ) ) ]
% 8.10/8.51  ] .
% 8.10/8.51  
% 8.10/8.51  
% 8.10/8.51  percentage equality = 0.221719, percentage horn = 0.930435
% 8.10/8.51  This is a problem with some equality
% 8.10/8.51  
% 8.10/8.51  
% 8.10/8.51  
% 8.10/8.51  Options Used:
% 8.10/8.51  
% 8.10/8.51  useres =            1
% 8.10/8.51  useparamod =        1
% 8.10/8.51  useeqrefl =         1
% 8.10/8.51  useeqfact =         1
% 8.10/8.51  usefactor =         1
% 8.10/8.51  usesimpsplitting =  0
% 8.10/8.51  usesimpdemod =      5
% 8.10/8.51  usesimpres =        3
% 8.10/8.51  
% 8.10/8.51  resimpinuse      =  1000
% 8.10/8.51  resimpclauses =     20000
% 8.10/8.51  substype =          eqrewr
% 8.10/8.51  backwardsubs =      1
% 8.10/8.51  selectoldest =      5
% 8.10/8.51  
% 8.10/8.51  litorderings [0] =  split
% 8.10/8.51  litorderings [1] =  extend the termordering, first sorting on arguments
% 8.10/8.51  
% 8.10/8.51  termordering =      kbo
% 8.10/8.51  
% 8.10/8.51  litapriori =        0
% 8.10/8.51  termapriori =       1
% 8.10/8.51  litaposteriori =    0
% 8.10/8.51  termaposteriori =   0
% 8.10/8.51  demodaposteriori =  0
% 8.10/8.51  ordereqreflfact =   0
% 8.10/8.51  
% 8.10/8.51  litselect =         negord
% 8.10/8.51  
% 8.10/8.51  maxweight =         15
% 8.10/8.51  maxdepth =          30000
% 8.10/8.51  maxlength =         115
% 8.10/8.51  maxnrvars =         195
% 8.10/8.51  excuselevel =       1
% 8.10/8.51  increasemaxweight = 1
% 8.10/8.51  
% 8.10/8.51  maxselected =       10000000
% 8.10/8.51  maxnrclauses =      10000000
% 8.10/8.51  
% 8.10/8.51  showgenerated =    0
% 8.10/8.51  showkept =         0
% 8.10/8.51  showselected =     0
% 8.10/8.51  showdeleted =      0
% 8.10/8.51  showresimp =       1
% 8.10/8.51  showstatus =       2000
% 8.10/8.51  
% 8.10/8.51  prologoutput =     1
% 8.10/8.51  nrgoals =          5000000
% 8.10/8.51  totalproof =       1
% 8.10/8.51  
% 8.10/8.51  Symbols occurring in the translation:
% 8.10/8.51  
% 8.10/8.51  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 8.10/8.51  .  [1, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 8.10/8.51  !  [4, 1]      (w:0, o:36, a:1, s:1, b:0), 
% 8.10/8.51  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.10/8.51  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.10/8.51  subclass  [41, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 8.10/8.51  member  [43, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 8.10/8.51  'not_subclass_element'  [44, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 8.10/8.51  'universal_class'  [45, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 8.10/8.51  'unordered_pair'  [46, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 8.10/8.51  singleton  [47, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 8.10/8.51  'ordered_pair'  [48, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 8.10/8.51  'cross_product'  [50, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 8.10/8.51  first  [52, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 8.10/8.51  second  [53, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 8.10/8.51  'element_relation'  [54, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 8.10/8.51  intersection  [55, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 8.10/8.51  complement  [56, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 8.10/8.51  union  [57, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 8.10/8.51  'symmetric_difference'  [58, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 8.10/8.51  restrict  [60, 3]      (w:1, o:102, a:1, s:1, b:0), 
% 8.10/8.51  'null_class'  [61, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 8.10/8.51  'domain_of'  [62, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 8.10/8.51  rotate  [63, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 8.10/8.51  flip  [65, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 8.10/8.51  inverse  [66, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 8.10/8.51  'range_of'  [67, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 8.10/8.51  domain  [68, 3]      (w:1, o:104, a:1, s:1, b:0), 
% 8.10/8.51  range  [69, 3]      (w:1, o:105, a:1, s:1, b:0), 
% 8.10/8.51  image  [70, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 8.10/8.51  successor  [71, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 8.10/8.51  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 8.10/8.51  inductive  [73, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 8.10/8.51  omega  [74, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 8.10/8.51  'sum_class'  [75, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 8.10/8.51  'power_class'  [76, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 8.10/8.51  compose  [78, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 8.10/8.51  'single_valued_class'  [79, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 8.10/8.51  'identity_relation'  [80, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 8.10/8.51  function  [82, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 8.10/8.51  regular  [83, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 8.10/8.51  apply  [84, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 8.10/8.51  choice  [85, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 8.10/8.51  'one_to_one'  [86, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 8.10/8.51  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 8.10/8.51  diagonalise  [88, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 8.10/8.51  cantor  [89, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 8.10/8.51  operation  [90, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 125.84/126.23  compatible  [94, 3]      (w:1, o:103, a:1, s:1, b:0), 
% 125.84/126.23  homomorphism  [95, 3]      (w:1, o:106, a:1, s:1, b:0), 
% 125.84/126.23  'not_homomorphism1'  [96, 3]      (w:1, o:108, a:1, s:1, b:0), 
% 125.84/126.23  'not_homomorphism2'  [97, 3]      (w:1, o:109, a:1, s:1, b:0), 
% 125.84/126.23  'compose_class'  [98, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 125.84/126.23  'composition_function'  [99, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 125.84/126.23  'domain_relation'  [100, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 125.84/126.23  'single_valued1'  [101, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 125.84/126.23  'single_valued2'  [102, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 125.84/126.23  'single_valued3'  [103, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 125.84/126.23  'singleton_relation'  [104, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 125.84/126.23  'application_function'  [105, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 125.84/126.23  maps  [106, 3]      (w:1, o:107, a:1, s:1, b:0), 
% 125.84/126.23  x  [107, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 125.84/126.23  y  [108, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 125.84/126.23  xr  [109, 0]      (w:1, o:34, a:1, s:1, b:0).
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Starting Search:
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    5388
% 125.84/126.23  Kept:         2006
% 125.84/126.23  Inuse:        101
% 125.84/126.23  Deleted:      3
% 125.84/126.23  Deletedinuse: 3
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    10035
% 125.84/126.23  Kept:         4021
% 125.84/126.23  Inuse:        183
% 125.84/126.23  Deleted:      21
% 125.84/126.23  Deletedinuse: 15
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    13950
% 125.84/126.23  Kept:         6060
% 125.84/126.23  Inuse:        238
% 125.84/126.23  Deleted:      23
% 125.84/126.23  Deletedinuse: 15
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    18753
% 125.84/126.23  Kept:         8166
% 125.84/126.23  Inuse:        291
% 125.84/126.23  Deleted:      81
% 125.84/126.23  Deletedinuse: 71
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    24609
% 125.84/126.23  Kept:         10690
% 125.84/126.23  Inuse:        369
% 125.84/126.23  Deleted:      91
% 125.84/126.23  Deletedinuse: 79
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    28118
% 125.84/126.23  Kept:         12698
% 125.84/126.23  Inuse:        398
% 125.84/126.23  Deleted:      96
% 125.84/126.23  Deletedinuse: 84
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    32123
% 125.84/126.23  Kept:         14849
% 125.84/126.23  Inuse:        434
% 125.84/126.23  Deleted:      97
% 125.84/126.23  Deletedinuse: 85
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    35600
% 125.84/126.23  Kept:         16872
% 125.84/126.23  Inuse:        463
% 125.84/126.23  Deleted:      97
% 125.84/126.23  Deletedinuse: 85
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    42688
% 125.84/126.23  Kept:         20182
% 125.84/126.23  Inuse:        474
% 125.84/126.23  Deleted:      97
% 125.84/126.23  Deletedinuse: 85
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying clauses:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    48239
% 125.84/126.23  Kept:         22259
% 125.84/126.23  Inuse:        489
% 125.84/126.23  Deleted:      3243
% 125.84/126.23  Deletedinuse: 86
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    53731
% 125.84/126.23  Kept:         24281
% 125.84/126.23  Inuse:        532
% 125.84/126.23  Deleted:      3243
% 125.84/126.23  Deletedinuse: 86
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    57744
% 125.84/126.23  Kept:         26305
% 125.84/126.23  Inuse:        579
% 125.84/126.23  Deleted:      3247
% 125.84/126.23  Deletedinuse: 90
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  Resimplifying inuse:
% 125.84/126.23  Done
% 125.84/126.23  
% 125.84/126.23  
% 125.84/126.23  Intermediate Status:
% 125.84/126.23  Generated:    63538
% 125.84/126.24  Kept:         28307
% 125.84/126.24  Inuse:        607
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:    71003
% 125.84/126.24  Kept:         30355
% 125.84/126.24  Inuse:        635
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:    76030
% 125.84/126.24  Kept:         32385
% 125.84/126.24  Inuse:        676
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:    81008
% 125.84/126.24  Kept:         34410
% 125.84/126.24  Inuse:        708
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:    85886
% 125.84/126.24  Kept:         36443
% 125.84/126.24  Inuse:        741
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:    90803
% 125.84/126.24  Kept:         38453
% 125.84/126.24  Inuse:        773
% 125.84/126.24  Deleted:      3252
% 125.84/126.24  Deletedinuse: 95
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying inuse:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  Resimplifying clauses:
% 125.84/126.24  Done
% 125.84/126.24  
% 125.84/126.24  
% 125.84/126.24  Intermediate Status:
% 125.84/126.24  Generated:  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------