TSTP Solution File: SET069-7 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET069-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 22:46:31 EDT 2022

% Result   : Timeout 300.04s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET069-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n020.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 : Sat Jul  9 17:32:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.74/1.13  *** allocated 10000 integers for termspace/termends
% 0.74/1.13  *** allocated 10000 integers for clauses
% 0.74/1.13  *** allocated 10000 integers for justifications
% 0.74/1.13  Bliksem 1.12
% 0.74/1.13  
% 0.74/1.13  
% 0.74/1.13  Automatic Strategy Selection
% 0.74/1.13  
% 0.74/1.13  Clauses:
% 0.74/1.13  [
% 0.74/1.13     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.74/1.13     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.74/1.13     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ subclass( X, 'universal_class' ) ],
% 0.74/1.13     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.74/1.13     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.74/1.13     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.74/1.13     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.74/1.13     ) ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.74/1.13     ) ) ],
% 0.74/1.13     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.74/1.13     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.74/1.13     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.74/1.13     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.74/1.13    X, Z ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.74/1.13    Y, T ) ],
% 0.74/1.13     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.74/1.13     ), 'cross_product'( Y, T ) ) ],
% 0.74/1.13     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.74/1.13     ), second( X ) ), X ) ],
% 0.74/1.13     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.74/1.13    'universal_class' ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.74/1.13    Y ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.74/1.13    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.74/1.13    , Y ), 'element_relation' ) ],
% 0.74/1.13     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.74/1.13     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.74/1.13     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.74/1.13    Z ) ) ],
% 0.74/1.13     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.74/1.13    member( X, Y ) ],
% 0.74/1.13     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.74/1.13    union( X, Y ) ) ],
% 0.74/1.13     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.74/1.13    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.74/1.13    'symmetric_difference'( X, Y ) ) ],
% 0.74/1.13     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.74/1.13     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.74/1.13    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.74/1.13     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.74/1.13    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.74/1.13     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.74/1.13    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.74/1.13    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.74/1.13    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.74/1.13    Y ), rotate( T ) ) ],
% 0.74/1.13     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.74/1.13    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.74/1.13    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.74/1.13    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.74/1.13    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.74/1.13    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.74/1.13    Z ), flip( T ) ) ],
% 0.74/1.13     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.74/1.13    inverse( X ) ) ],
% 0.74/1.13     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.74/1.13     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.74/1.13    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.74/1.13     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.74/1.13    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.74/1.13     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.74/1.13     ],
% 0.74/1.13     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.74/1.13     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.74/1.13    'universal_class' ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.74/1.13    successor( X ), Y ) ],
% 0.74/1.13     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.74/1.13    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.74/1.13    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.74/1.13     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.74/1.13     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.74/1.13    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.74/1.13     [ inductive( omega ) ],
% 0.74/1.13     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.74/1.13     [ member( omega, 'universal_class' ) ],
% 0.74/1.13     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.74/1.13    , 'sum_class'( X ) ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.74/1.13    'universal_class' ) ],
% 0.74/1.13     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.74/1.13    'power_class'( X ) ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.74/1.13    'universal_class' ) ],
% 0.74/1.13     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.74/1.13    'universal_class' ) ) ],
% 0.74/1.13     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.74/1.13    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.74/1.13     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.74/1.13    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.74/1.13    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.74/1.13     ) ],
% 0.74/1.13     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.74/1.13    , 'identity_relation' ) ],
% 0.74/1.13     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.74/1.13    'single_valued_class'( X ) ],
% 0.74/1.13     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.74/1.13    'universal_class' ) ) ],
% 0.74/1.13     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.74/1.13    'identity_relation' ) ],
% 0.74/1.13     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.13     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.74/1.13    , function( X ) ],
% 0.74/1.13     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.74/1.13    X, Y ), 'universal_class' ) ],
% 0.74/1.13     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.74/1.13     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.74/1.13     ) ],
% 0.74/1.13     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.74/1.13     [ function( choice ) ],
% 0.74/1.13     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.74/1.13    apply( choice, X ), X ) ],
% 0.74/1.13     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.74/1.13     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.74/1.13     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.74/1.13    ,
% 0.74/1.13     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.74/1.13     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.74/1.13    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.74/1.13    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.74/1.13     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.74/1.13    'identity_relation' ) ],
% 0.74/1.13     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.74/1.13    , diagonalise( X ) ) ],
% 0.74/1.13     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.74/1.13    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.74/1.13     [ ~( operation( X ) ), function( X ) ],
% 0.74/1.13     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.74/1.13     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.74/1.13     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 1.55/1.96    'domain_of'( X ) ) ) ],
% 1.55/1.96     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 1.55/1.96     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 1.55/1.96    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 1.55/1.96    X ) ],
% 1.55/1.96     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 1.55/1.96     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 1.55/1.96    'domain_of'( X ) ) ],
% 1.55/1.96     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 1.55/1.96    'domain_of'( Z ) ) ) ],
% 1.55/1.96     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 1.55/1.96    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 1.55/1.96     ), compatible( X, Y, Z ) ],
% 1.55/1.96     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 1.55/1.96     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 1.55/1.96     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 1.55/1.96     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 1.55/1.96    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 1.55/1.96    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 1.55/1.96     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 1.55/1.96    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 1.55/1.96    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 1.55/1.96    , Y ) ],
% 1.55/1.96     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 1.55/1.96    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 1.55/1.96     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 1.55/1.96    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 1.55/1.96    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 1.55/1.96     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.55/1.96    X, 'unordered_pair'( X, Y ) ) ],
% 1.55/1.96     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.55/1.96    Y, 'unordered_pair'( X, Y ) ) ],
% 1.55/1.96     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.55/1.96    X, 'universal_class' ) ],
% 1.55/1.96     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.55/1.96    Y, 'universal_class' ) ],
% 1.55/1.96     [ subclass( X, X ) ],
% 1.55/1.96     [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 1.55/1.96     [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member( 
% 1.55/1.96    'not_subclass_element'( Y, X ), Y ) ],
% 1.55/1.96     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member( 
% 1.55/1.96    'not_subclass_element'( Y, X ), Y ) ],
% 1.55/1.96     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member( 
% 1.55/1.96    'not_subclass_element'( Y, X ), Y ) ],
% 1.55/1.96     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member( 
% 1.55/1.96    'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 1.55/1.96     [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 1.55/1.96     [ ~( member( X, 'null_class' ) ) ],
% 1.55/1.96     [ subclass( 'null_class', X ) ],
% 1.55/1.96     [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 1.55/1.96     [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 1.55/1.96     ), X ) ],
% 1.55/1.96     [ member( 'null_class', 'universal_class' ) ],
% 1.55/1.96     [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 1.55/1.96     [ ~( member( y, 'universal_class' ) ) ],
% 1.55/1.96     [ ~( =( 'unordered_pair'( x, y ), singleton( x ) ) ) ]
% 1.55/1.96  ] .
% 1.55/1.96  
% 1.55/1.96  
% 1.55/1.96  percentage equality = 0.217593, percentage horn = 0.890909
% 1.55/1.96  This is a problem with some equality
% 1.55/1.96  
% 1.55/1.96  
% 1.55/1.96  
% 1.55/1.96  Options Used:
% 1.55/1.96  
% 1.55/1.96  useres =            1
% 1.55/1.96  useparamod =        1
% 1.55/1.96  useeqrefl =         1
% 1.55/1.96  useeqfact =         1
% 1.55/1.96  usefactor =         1
% 1.55/1.96  usesimpsplitting =  0
% 1.55/1.96  usesimpdemod =      5
% 1.55/1.96  usesimpres =        3
% 1.55/1.96  
% 1.55/1.96  resimpinuse      =  1000
% 1.55/1.96  resimpclauses =     20000
% 1.55/1.96  substype =          eqrewr
% 1.55/1.96  backwardsubs =      1
% 1.55/1.96  selectoldest =      5
% 1.55/1.96  
% 1.55/1.96  litorderings [0] =  split
% 1.55/1.96  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.55/1.96  
% 1.55/1.96  termordering =      kbo
% 1.55/1.96  
% 1.55/1.96  litapriori =        0
% 1.55/1.96  termapriori =       1
% 1.55/1.96  litaposteriori =    0
% 1.55/1.96  termaposteriori =   0
% 1.55/1.96  demodaposteriori =  0
% 1.55/1.96  ordereqreflfact =   0
% 1.55/1.96  
% 1.55/1.96  litselect =         negord
% 1.55/1.96  
% 1.55/1.96  maxweight =         15
% 1.55/1.96  maxdepth =          30000
% 1.55/1.96  maxlength =         115
% 1.55/1.96  maxnrvars =         195
% 1.55/1.96  excuselevel =       1
% 1.55/1.96  increasemaxweight = 1
% 1.55/1.96  
% 1.55/1.96  maxselected =       10000000
% 1.55/1.96  maxnrclauses =      10000000
% 1.55/1.96  
% 1.55/1.96  showgenerated =    0
% 1.55/1.96  showkept =         0
% 1.55/1.96  showselected =     0
% 59.23/59.64  showdeleted =      0
% 59.23/59.64  showresimp =       1
% 59.23/59.64  showstatus =       2000
% 59.23/59.64  
% 59.23/59.64  prologoutput =     1
% 59.23/59.64  nrgoals =          5000000
% 59.23/59.64  totalproof =       1
% 59.23/59.64  
% 59.23/59.64  Symbols occurring in the translation:
% 59.23/59.64  
% 59.23/59.64  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 59.23/59.64  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 59.23/59.64  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 59.23/59.64  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 59.23/59.64  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 59.23/59.64  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 59.23/59.64  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 59.23/59.64  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 59.23/59.64  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 59.23/59.64  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 59.23/59.64  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 59.23/59.64  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 59.23/59.64  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 59.23/59.64  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 59.23/59.64  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 59.23/59.64  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 59.23/59.64  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 59.23/59.64  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 59.23/59.64  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 59.23/59.64  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 59.23/59.64  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 59.23/59.64  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 59.23/59.64  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 59.23/59.64  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 59.23/59.64  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 59.23/59.64  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 59.23/59.64  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 59.23/59.64  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 59.23/59.64  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 59.23/59.64  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 59.23/59.64  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 59.23/59.64  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 59.23/59.64  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 59.23/59.64  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 59.23/59.64  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 59.23/59.64  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 59.23/59.64  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 59.23/59.64  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 59.23/59.64  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 59.23/59.64  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 59.23/59.64  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 59.23/59.64  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 59.23/59.64  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 59.23/59.64  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 59.23/59.64  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 59.23/59.64  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 59.23/59.64  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 59.23/59.64  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 59.23/59.64  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 59.23/59.64  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 59.23/59.64  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 59.23/59.64  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 59.23/59.64  y  [98, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 59.23/59.64  x  [99, 0]      (w:1, o:29, a:1, s:1, b:0).
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Starting Search:
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    3942
% 59.23/59.64  Kept:         2017
% 59.23/59.64  Inuse:        123
% 59.23/59.64  Deleted:      3
% 59.23/59.64  Deletedinuse: 3
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    9320
% 59.23/59.64  Kept:         4017
% 59.23/59.64  Inuse:        202
% 59.23/59.64  Deleted:      8
% 59.23/59.64  Deletedinuse: 8
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    14137
% 59.23/59.64  Kept:         6033
% 59.23/59.64  Inuse:        283
% 59.23/59.64  Deleted:      12
% 59.23/59.64  Deletedinuse: 11
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    20278
% 59.23/59.64  Kept:         8070
% 59.23/59.64  Inuse:        335
% 59.23/59.64  Deleted:      62
% 59.23/59.64  Deletedinuse: 58
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    28704
% 59.23/59.64  Kept:         10804
% 59.23/59.64  Inuse:        395
% 59.23/59.64  Deleted:      79
% 59.23/59.64  Deletedinuse: 63
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 59.23/59.64  Done
% 59.23/59.64  
% 59.23/59.64  
% 59.23/59.64  Intermediate Status:
% 59.23/59.64  Generated:    36070
% 59.23/59.64  Kept:         13201
% 59.23/59.64  Inuse:        425
% 59.23/59.64  Deleted:      80
% 59.23/59.64  Deletedinuse: 64
% 59.23/59.64  
% 59.23/59.64  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    43897
% 178.92/179.30  Kept:         15779
% 178.92/179.30  Inuse:        435
% 178.92/179.30  Deleted:      82
% 178.92/179.30  Deletedinuse: 66
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    50144
% 178.92/179.30  Kept:         17780
% 178.92/179.30  Inuse:        479
% 178.92/179.30  Deleted:      97
% 178.92/179.30  Deletedinuse: 69
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    55265
% 178.92/179.30  Kept:         19786
% 178.92/179.30  Inuse:        528
% 178.92/179.30  Deleted:      102
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying clauses:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    64066
% 178.92/179.30  Kept:         21858
% 178.92/179.30  Inuse:        542
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    69690
% 178.92/179.30  Kept:         23867
% 178.92/179.30  Inuse:        586
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    76471
% 178.92/179.30  Kept:         26048
% 178.92/179.30  Inuse:        617
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    84479
% 178.92/179.30  Kept:         29260
% 178.92/179.30  Inuse:        627
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    88893
% 178.92/179.30  Kept:         31268
% 178.92/179.30  Inuse:        633
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    102797
% 178.92/179.30  Kept:         34046
% 178.92/179.30  Inuse:        647
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    145853
% 178.92/179.30  Kept:         36080
% 178.92/179.30  Inuse:        673
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    159467
% 178.92/179.30  Kept:         38455
% 178.92/179.30  Inuse:        687
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    169257
% 178.92/179.30  Kept:         40474
% 178.92/179.30  Inuse:        700
% 178.92/179.30  Deleted:      2625
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying clauses:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    178660
% 178.92/179.30  Kept:         42499
% 178.92/179.30  Inuse:        710
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    190586
% 178.92/179.30  Kept:         44571
% 178.92/179.30  Inuse:        722
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    200244
% 178.92/179.30  Kept:         46622
% 178.92/179.30  Inuse:        735
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    214097
% 178.92/179.30  Kept:         49103
% 178.92/179.30  Inuse:        747
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    228323
% 178.92/179.30  Kept:         51112
% 178.92/179.30  Inuse:        763
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    243204
% 178.92/179.30  Kept:         54675
% 178.92/179.30  Inuse:        777
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    253007
% 178.92/179.30  Kept:         57442
% 178.92/179.30  Inuse:        787
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    263049
% 178.92/179.30  Kept:         59610
% 178.92/179.30  Inuse:        797
% 178.92/179.30  Deleted:      3649
% 178.92/179.30  Deletedinuse: 73
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    272317
% 178.92/179.30  Kept:         61637
% 178.92/179.30  Inuse:        807
% 178.92/179.30  Deleted:      3684
% 178.92/179.30  Deletedinuse: 108
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying clauses:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    282454
% 178.92/179.30  Kept:         64225
% 178.92/179.30  Inuse:        817
% 178.92/179.30  Deleted:      8397
% 178.92/179.30  Deletedinuse: 108
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    292108
% 178.92/179.30  Kept:         66399
% 178.92/179.30  Inuse:        827
% 178.92/179.30  Deleted:      8397
% 178.92/179.30  Deletedinuse: 108
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    302812
% 178.92/179.30  Kept:         68702
% 178.92/179.30  Inuse:        837
% 178.92/179.30  Deleted:      8397
% 178.92/179.30  Deletedinuse: 108
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  Resimplifying inuse:
% 178.92/179.30  Done
% 178.92/179.30  
% 178.92/179.30  
% 178.92/179.30  Intermediate Status:
% 178.92/179.30  Generated:    313124
% 178.92/179.30  Kept:         71159
% 178.92/179.30  Inuse:        847
% 178.92/179.30  Deleted:      83Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------