TSTP Solution File: SET067-7 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.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 22:46:29 EDT 2022

% Result   : Timeout 300.05s 300.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n012.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 19:55:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.42/1.10  *** allocated 10000 integers for termspace/termends
% 0.42/1.10  *** allocated 10000 integers for clauses
% 0.42/1.10  *** allocated 10000 integers for justifications
% 0.42/1.10  Bliksem 1.12
% 0.42/1.10  
% 0.42/1.10  
% 0.42/1.10  Automatic Strategy Selection
% 0.42/1.10  
% 0.42/1.10  Clauses:
% 0.42/1.10  [
% 0.42/1.10     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.42/1.10     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.42/1.10     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ subclass( X, 'universal_class' ) ],
% 0.42/1.10     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.42/1.10     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.42/1.10     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.42/1.10     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.42/1.10     ) ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.42/1.10     ) ) ],
% 0.42/1.10     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.42/1.10     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.42/1.10     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.42/1.10     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.42/1.10    X, Z ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.42/1.10    Y, T ) ],
% 0.42/1.10     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.42/1.10     ), 'cross_product'( Y, T ) ) ],
% 0.42/1.10     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.42/1.10     ), second( X ) ), X ) ],
% 0.42/1.10     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.42/1.10    'universal_class' ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.42/1.10    Y ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.42/1.10    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.42/1.10    , Y ), 'element_relation' ) ],
% 0.42/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.42/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.42/1.10     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.42/1.10    Z ) ) ],
% 0.42/1.10     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.42/1.10    member( X, Y ) ],
% 0.42/1.10     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.42/1.10    union( X, Y ) ) ],
% 0.42/1.10     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.42/1.10    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.42/1.10    'symmetric_difference'( X, Y ) ) ],
% 0.42/1.10     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.42/1.10     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.42/1.10    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.42/1.10     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.42/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.42/1.10     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.42/1.10    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.42/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.42/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.42/1.10    Y ), rotate( T ) ) ],
% 0.42/1.10     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.42/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.42/1.10    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.42/1.10    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.42/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.42/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.42/1.10    Z ), flip( T ) ) ],
% 0.42/1.10     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.42/1.10    inverse( X ) ) ],
% 0.42/1.10     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.42/1.10     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.42/1.10    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.42/1.10     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.42/1.10    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.42/1.10     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.42/1.10     ],
% 0.42/1.10     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.42/1.10     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.42/1.10    'universal_class' ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.42/1.10    successor( X ), Y ) ],
% 0.42/1.10     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.42/1.10    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.42/1.10    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.42/1.10     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.42/1.10     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.42/1.10    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.42/1.10     [ inductive( omega ) ],
% 0.42/1.10     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.42/1.10     [ member( omega, 'universal_class' ) ],
% 0.42/1.10     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.42/1.10    , 'sum_class'( X ) ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.42/1.10    'universal_class' ) ],
% 0.42/1.10     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.42/1.10    'power_class'( X ) ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.42/1.10    'universal_class' ) ],
% 0.42/1.10     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.42/1.10    'universal_class' ) ) ],
% 0.42/1.10     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.42/1.10    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.42/1.10     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.42/1.10    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.42/1.10    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.42/1.10     ) ],
% 0.42/1.10     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.42/1.10    , 'identity_relation' ) ],
% 0.42/1.10     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.42/1.10    'single_valued_class'( X ) ],
% 0.42/1.10     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.42/1.10    'universal_class' ) ) ],
% 0.42/1.10     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.42/1.10    'identity_relation' ) ],
% 0.42/1.10     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.10     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.42/1.10    , function( X ) ],
% 0.42/1.10     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.42/1.10    X, Y ), 'universal_class' ) ],
% 0.42/1.10     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.42/1.10     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.42/1.10     ) ],
% 0.42/1.10     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.42/1.10     [ function( choice ) ],
% 0.42/1.10     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.42/1.10    apply( choice, X ), X ) ],
% 0.42/1.10     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.42/1.10     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.42/1.10     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.42/1.10    ,
% 0.42/1.10     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.10     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.42/1.10    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.42/1.10    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.42/1.10     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.42/1.10    'identity_relation' ) ],
% 0.42/1.10     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.42/1.10    , diagonalise( X ) ) ],
% 0.42/1.10     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.42/1.10    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.42/1.10     [ ~( operation( X ) ), function( X ) ],
% 0.42/1.10     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.42/1.10     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.42/1.10     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 1.85/2.26    'domain_of'( X ) ) ) ],
% 1.85/2.26     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 1.85/2.26     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 1.85/2.26    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 1.85/2.26    X ) ],
% 1.85/2.26     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 1.85/2.26     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 1.85/2.26    'domain_of'( X ) ) ],
% 1.85/2.26     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 1.85/2.26    'domain_of'( Z ) ) ) ],
% 1.85/2.26     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 1.85/2.26    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 1.85/2.26     ), compatible( X, Y, Z ) ],
% 1.85/2.26     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 1.85/2.26     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 1.85/2.26     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 1.85/2.26     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 1.85/2.26    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 1.85/2.26    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 1.85/2.26     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 1.85/2.26    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 1.85/2.26    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 1.85/2.26    , Y ) ],
% 1.85/2.26     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 1.85/2.26    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 1.85/2.26     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 1.85/2.26    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 1.85/2.26    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 1.85/2.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.85/2.26    X, 'unordered_pair'( X, Y ) ) ],
% 1.85/2.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.85/2.26    Y, 'unordered_pair'( X, Y ) ) ],
% 1.85/2.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.85/2.26    X, 'universal_class' ) ],
% 1.85/2.26     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 1.85/2.26    Y, 'universal_class' ) ],
% 1.85/2.26     [ subclass( X, X ) ],
% 1.85/2.26     [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 1.85/2.26     [ =( X, Y ), member( 'not_subclass_element'( X, Y ), X ), member( 
% 1.85/2.26    'not_subclass_element'( Y, X ), Y ) ],
% 1.85/2.26     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( X, Y ), member( 
% 1.85/2.26    'not_subclass_element'( Y, X ), Y ) ],
% 1.85/2.26     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), =( Y, X ), member( 
% 1.85/2.26    'not_subclass_element'( Y, X ), Y ) ],
% 1.85/2.26     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), ~( member( 
% 1.85/2.26    'not_subclass_element'( Y, X ), X ) ), =( X, Y ) ],
% 1.85/2.26     [ ~( member( X, intersection( complement( Y ), Y ) ) ) ],
% 1.85/2.26     [ ~( member( X, 'null_class' ) ) ],
% 1.85/2.26     [ subclass( 'null_class', X ) ],
% 1.85/2.26     [ ~( subclass( X, 'null_class' ) ), =( X, 'null_class' ) ],
% 1.85/2.26     [ =( X, 'null_class' ), member( 'not_subclass_element'( X, 'null_class'
% 1.85/2.26     ), X ) ],
% 1.85/2.26     [ member( 'null_class', 'universal_class' ) ],
% 1.85/2.26     [ =( 'unordered_pair'( X, Y ), 'unordered_pair'( Y, X ) ) ],
% 1.85/2.26     [ ~( subclass( singleton( x ), 'unordered_pair'( x, y ) ) ) ]
% 1.85/2.26  ] .
% 1.85/2.26  
% 1.85/2.26  
% 1.85/2.26  percentage equality = 0.213953, percentage horn = 0.889908
% 1.85/2.26  This is a problem with some equality
% 1.85/2.26  
% 1.85/2.26  
% 1.85/2.26  
% 1.85/2.26  Options Used:
% 1.85/2.26  
% 1.85/2.26  useres =            1
% 1.85/2.26  useparamod =        1
% 1.85/2.26  useeqrefl =         1
% 1.85/2.26  useeqfact =         1
% 1.85/2.26  usefactor =         1
% 1.85/2.26  usesimpsplitting =  0
% 1.85/2.26  usesimpdemod =      5
% 1.85/2.26  usesimpres =        3
% 1.85/2.26  
% 1.85/2.26  resimpinuse      =  1000
% 1.85/2.26  resimpclauses =     20000
% 1.85/2.26  substype =          eqrewr
% 1.85/2.26  backwardsubs =      1
% 1.85/2.26  selectoldest =      5
% 1.85/2.26  
% 1.85/2.26  litorderings [0] =  split
% 1.85/2.26  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.85/2.26  
% 1.85/2.26  termordering =      kbo
% 1.85/2.26  
% 1.85/2.26  litapriori =        0
% 1.85/2.26  termapriori =       1
% 1.85/2.26  litaposteriori =    0
% 1.85/2.26  termaposteriori =   0
% 1.85/2.26  demodaposteriori =  0
% 1.85/2.26  ordereqreflfact =   0
% 1.85/2.26  
% 1.85/2.26  litselect =         negord
% 1.85/2.26  
% 1.85/2.26  maxweight =         15
% 1.85/2.26  maxdepth =          30000
% 1.85/2.26  maxlength =         115
% 1.85/2.26  maxnrvars =         195
% 1.85/2.26  excuselevel =       1
% 1.85/2.26  increasemaxweight = 1
% 1.85/2.26  
% 1.85/2.26  maxselected =       10000000
% 1.85/2.26  maxnrclauses =      10000000
% 1.85/2.26  
% 1.85/2.26  showgenerated =    0
% 1.85/2.26  showkept =         0
% 1.85/2.26  showselected =     0
% 1.85/2.26  showdeleted =      0
% 1.85/2.26  showresimp =       1
% 65.51/65.90  showstatus =       2000
% 65.51/65.90  
% 65.51/65.90  prologoutput =     1
% 65.51/65.90  nrgoals =          5000000
% 65.51/65.90  totalproof =       1
% 65.51/65.90  
% 65.51/65.90  Symbols occurring in the translation:
% 65.51/65.90  
% 65.51/65.90  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 65.51/65.90  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 65.51/65.90  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 65.51/65.90  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 65.51/65.90  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 65.51/65.90  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 65.51/65.90  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 65.51/65.90  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 65.51/65.90  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 65.51/65.90  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 65.51/65.90  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 65.51/65.90  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 65.51/65.90  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 65.51/65.90  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 65.51/65.90  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 65.51/65.90  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 65.51/65.90  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 65.51/65.90  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 65.51/65.90  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 65.51/65.90  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 65.51/65.90  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 65.51/65.90  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 65.51/65.90  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 65.51/65.90  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 65.51/65.90  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 65.51/65.90  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 65.51/65.90  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 65.51/65.90  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 65.51/65.90  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 65.51/65.90  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 65.51/65.90  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 65.51/65.90  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 65.51/65.90  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 65.51/65.90  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 65.51/65.90  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 65.51/65.90  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 65.51/65.90  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 65.51/65.90  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 65.51/65.90  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 65.51/65.90  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 65.51/65.90  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 65.51/65.90  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 65.51/65.90  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 65.51/65.90  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 65.51/65.90  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 65.51/65.90  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 65.51/65.90  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 65.51/65.90  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 65.51/65.90  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 65.51/65.90  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 65.51/65.90  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 65.51/65.90  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 65.51/65.90  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 65.51/65.90  y  [99, 0]      (w:1, o:30, a:1, s:1, b:0).
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Starting Search:
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    4159
% 65.51/65.90  Kept:         2015
% 65.51/65.90  Inuse:        122
% 65.51/65.90  Deleted:      5
% 65.51/65.90  Deletedinuse: 2
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    10098
% 65.51/65.90  Kept:         4064
% 65.51/65.90  Inuse:        196
% 65.51/65.90  Deleted:      14
% 65.51/65.90  Deletedinuse: 4
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    15294
% 65.51/65.90  Kept:         6071
% 65.51/65.90  Inuse:        278
% 65.51/65.90  Deleted:      57
% 65.51/65.90  Deletedinuse: 39
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    20939
% 65.51/65.90  Kept:         8136
% 65.51/65.90  Inuse:        356
% 65.51/65.90  Deleted:      65
% 65.51/65.90  Deletedinuse: 45
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    27185
% 65.51/65.90  Kept:         10164
% 65.51/65.90  Inuse:        392
% 65.51/65.90  Deleted:      65
% 65.51/65.90  Deletedinuse: 45
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    35009
% 65.51/65.90  Kept:         12953
% 65.51/65.90  Inuse:        421
% 65.51/65.90  Deleted:      65
% 65.51/65.90  Deletedinuse: 45
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  Resimplifying inuse:
% 65.51/65.90  Done
% 65.51/65.90  
% 65.51/65.90  
% 65.51/65.90  Intermediate Status:
% 65.51/65.90  Generated:    43157
% 202.42/202.81  Kept:         15786
% 202.42/202.81  Inuse:        431
% 202.42/202.81  Deleted:      66
% 202.42/202.81  Deletedinuse: 46
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    49649
% 202.42/202.81  Kept:         17900
% 202.42/202.81  Inuse:        480
% 202.42/202.81  Deleted:      74
% 202.42/202.81  Deletedinuse: 53
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    54421
% 202.42/202.81  Kept:         19919
% 202.42/202.81  Inuse:        526
% 202.42/202.81  Deleted:      79
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying clauses:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    63741
% 202.42/202.81  Kept:         22039
% 202.42/202.81  Inuse:        547
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    69570
% 202.42/202.81  Kept:         24050
% 202.42/202.81  Inuse:        587
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    76714
% 202.42/202.81  Kept:         26550
% 202.42/202.81  Inuse:        617
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    84935
% 202.42/202.81  Kept:         29967
% 202.42/202.81  Inuse:        627
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    89284
% 202.42/202.81  Kept:         32093
% 202.42/202.81  Inuse:        632
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    103723
% 202.42/202.81  Kept:         35214
% 202.42/202.81  Inuse:        647
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    148317
% 202.42/202.81  Kept:         37233
% 202.42/202.81  Inuse:        676
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    161183
% 202.42/202.81  Kept:         39420
% 202.42/202.81  Inuse:        687
% 202.42/202.81  Deleted:      1738
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying clauses:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    170736
% 202.42/202.81  Kept:         41446
% 202.42/202.81  Inuse:        698
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    180560
% 202.42/202.81  Kept:         43479
% 202.42/202.81  Inuse:        709
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    192584
% 202.42/202.81  Kept:         45526
% 202.42/202.81  Inuse:        722
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    202643
% 202.42/202.81  Kept:         47601
% 202.42/202.81  Inuse:        735
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    216876
% 202.42/202.81  Kept:         49966
% 202.42/202.81  Inuse:        747
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    230890
% 202.42/202.81  Kept:         52005
% 202.42/202.81  Inuse:        763
% 202.42/202.81  Deleted:      2702
% 202.42/202.81  Deletedinuse: 55
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    246667
% 202.42/202.81  Kept:         55540
% 202.42/202.81  Inuse:        777
% 202.42/202.81  Deleted:      2703
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    256630
% 202.42/202.81  Kept:         58388
% 202.42/202.81  Inuse:        787
% 202.42/202.81  Deleted:      2703
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    268040
% 202.42/202.81  Kept:         60943
% 202.42/202.81  Inuse:        797
% 202.42/202.81  Deleted:      2703
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying clauses:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    279751
% 202.42/202.81  Kept:         63732
% 202.42/202.81  Inuse:        807
% 202.42/202.81  Deleted:      3832
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    291371
% 202.42/202.81  Kept:         66742
% 202.42/202.81  Inuse:        817
% 202.42/202.81  Deleted:      3832
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    303497
% 202.42/202.81  Kept:         69827
% 202.42/202.81  Inuse:        827
% 202.42/202.81  Deleted:      3832
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    315950
% 202.42/202.81  Kept:         72724
% 202.42/202.81  Inuse:        837
% 202.42/202.81  Deleted:      3832
% 202.42/202.81  Deletedinuse: 56
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  Resimplifying inuse:
% 202.42/202.81  Done
% 202.42/202.81  
% 202.42/202.81  
% 202.42/202.81  Intermediate Status:
% 202.42/202.81  Generated:    328527
% 202.42/202.81  Kept:        Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------