TSTP Solution File: SET018-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET018-6 : 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 22:45:30 EDT 2022

% Result   : Timeout 300.02s 300.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET018-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sun Jul 10 23:51:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/1.12  *** allocated 10000 integers for termspace/termends
% 0.72/1.12  *** allocated 10000 integers for clauses
% 0.72/1.12  *** allocated 10000 integers for justifications
% 0.72/1.12  Bliksem 1.12
% 0.72/1.12  
% 0.72/1.12  
% 0.72/1.12  Automatic Strategy Selection
% 0.72/1.12  
% 0.72/1.12  Clauses:
% 0.72/1.12  [
% 0.72/1.12     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.12     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.12     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ subclass( X, 'universal_class' ) ],
% 0.72/1.12     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.12     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.12     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.12     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.12     ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.12     ) ) ],
% 0.72/1.12     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.12     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.12     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.12     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.12    X, Z ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.12    Y, T ) ],
% 0.72/1.12     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.12     ), 'cross_product'( Y, T ) ) ],
% 0.72/1.12     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.12     ), second( X ) ), X ) ],
% 0.72/1.12     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.72/1.12    Y ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.12    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.12    , Y ), 'element_relation' ) ],
% 0.72/1.12     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.12     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.12     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.72/1.12    Z ) ) ],
% 0.72/1.12     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.72/1.12    member( X, Y ) ],
% 0.72/1.12     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.72/1.12    union( X, Y ) ) ],
% 0.72/1.12     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.72/1.12    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.72/1.12    'symmetric_difference'( X, Y ) ) ],
% 0.72/1.12     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.12     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.72/1.12    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.12     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.12    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.12     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.12    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.72/1.12    Y ), rotate( T ) ) ],
% 0.72/1.12     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.12    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.12    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.12    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.72/1.12    Z ), flip( T ) ) ],
% 0.72/1.12     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.72/1.12    inverse( X ) ) ],
% 0.72/1.12     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.12     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.72/1.12    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.12     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.72/1.12    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.12     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.12     ],
% 0.72/1.12     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.12     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.72/1.12    successor( X ), Y ) ],
% 0.72/1.12     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.72/1.12    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.12     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.12     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.72/1.12    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.12     [ inductive( omega ) ],
% 0.72/1.12     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.12     [ member( omega, 'universal_class' ) ],
% 0.72/1.12     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.12    , 'sum_class'( X ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.72/1.12    'universal_class' ) ],
% 0.72/1.12     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.72/1.12    'power_class'( X ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.72/1.12    'universal_class' ) ],
% 0.72/1.12     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.72/1.12    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.12     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.72/1.12    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.12     ) ],
% 0.72/1.12     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.12    , 'identity_relation' ) ],
% 0.72/1.12     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.72/1.12    'single_valued_class'( X ) ],
% 0.72/1.12     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.72/1.12    'identity_relation' ) ],
% 0.72/1.12     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.12     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.12    , function( X ) ],
% 0.72/1.12     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.72/1.12    X, Y ), 'universal_class' ) ],
% 0.72/1.12     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.12     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.12     ) ],
% 0.72/1.12     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.12     [ function( choice ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.72/1.12    apply( choice, X ), X ) ],
% 0.72/1.12     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.12     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.12     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.12     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.12    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.72/1.12    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.12     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.72/1.12    'identity_relation' ) ],
% 0.72/1.12     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.12    , diagonalise( X ) ) ],
% 0.72/1.12     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.72/1.12    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.12     [ ~( operation( X ) ), function( X ) ],
% 0.72/1.12     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.12     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.12     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.59/5.99    'domain_of'( X ) ) ) ],
% 5.59/5.99     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.59/5.99     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.59/5.99    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.59/5.99    X ) ],
% 5.59/5.99     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.59/5.99     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.59/5.99    'domain_of'( X ) ) ],
% 5.59/5.99     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.59/5.99    'domain_of'( Z ) ) ) ],
% 5.59/5.99     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.59/5.99    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.59/5.99     ), compatible( X, Y, Z ) ],
% 5.59/5.99     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.59/5.99     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.59/5.99     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.59/5.99     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.59/5.99    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.59/5.99    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.59/5.99     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.59/5.99    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.59/5.99    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.59/5.99    , Y ) ],
% 5.59/5.99     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.59/5.99    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.59/5.99     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.59/5.99    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.59/5.99    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.59/5.99     [ =( 'ordered_pair'( w, x ), 'ordered_pair'( y, z ) ) ],
% 5.59/5.99     [ member( x, 'universal_class' ) ],
% 5.59/5.99     [ ~( =( x, z ) ) ]
% 5.59/5.99  ] .
% 5.59/5.99  
% 5.59/5.99  
% 5.59/5.99  percentage equality = 0.222826, percentage horn = 0.914894
% 5.59/5.99  This is a problem with some equality
% 5.59/5.99  
% 5.59/5.99  
% 5.59/5.99  
% 5.59/5.99  Options Used:
% 5.59/5.99  
% 5.59/5.99  useres =            1
% 5.59/5.99  useparamod =        1
% 5.59/5.99  useeqrefl =         1
% 5.59/5.99  useeqfact =         1
% 5.59/5.99  usefactor =         1
% 5.59/5.99  usesimpsplitting =  0
% 5.59/5.99  usesimpdemod =      5
% 5.59/5.99  usesimpres =        3
% 5.59/5.99  
% 5.59/5.99  resimpinuse      =  1000
% 5.59/5.99  resimpclauses =     20000
% 5.59/5.99  substype =          eqrewr
% 5.59/5.99  backwardsubs =      1
% 5.59/5.99  selectoldest =      5
% 5.59/5.99  
% 5.59/5.99  litorderings [0] =  split
% 5.59/5.99  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.59/5.99  
% 5.59/5.99  termordering =      kbo
% 5.59/5.99  
% 5.59/5.99  litapriori =        0
% 5.59/5.99  termapriori =       1
% 5.59/5.99  litaposteriori =    0
% 5.59/5.99  termaposteriori =   0
% 5.59/5.99  demodaposteriori =  0
% 5.59/5.99  ordereqreflfact =   0
% 5.59/5.99  
% 5.59/5.99  litselect =         negord
% 5.59/5.99  
% 5.59/5.99  maxweight =         15
% 5.59/5.99  maxdepth =          30000
% 5.59/5.99  maxlength =         115
% 5.59/5.99  maxnrvars =         195
% 5.59/5.99  excuselevel =       1
% 5.59/5.99  increasemaxweight = 1
% 5.59/5.99  
% 5.59/5.99  maxselected =       10000000
% 5.59/5.99  maxnrclauses =      10000000
% 5.59/5.99  
% 5.59/5.99  showgenerated =    0
% 5.59/5.99  showkept =         0
% 5.59/5.99  showselected =     0
% 5.59/5.99  showdeleted =      0
% 5.59/5.99  showresimp =       1
% 5.59/5.99  showstatus =       2000
% 5.59/5.99  
% 5.59/5.99  prologoutput =     1
% 5.59/5.99  nrgoals =          5000000
% 5.59/5.99  totalproof =       1
% 5.59/5.99  
% 5.59/5.99  Symbols occurring in the translation:
% 5.59/5.99  
% 5.59/5.99  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.59/5.99  .  [1, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 5.59/5.99  !  [4, 1]      (w:0, o:33, a:1, s:1, b:0), 
% 5.59/5.99  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.59/5.99  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.59/5.99  subclass  [41, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.59/5.99  member  [43, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.59/5.99  'not_subclass_element'  [44, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.59/5.99  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.59/5.99  'unordered_pair'  [46, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.59/5.99  singleton  [47, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.59/5.99  'ordered_pair'  [48, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 5.59/5.99  'cross_product'  [50, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.59/5.99  first  [52, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.59/5.99  second  [53, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 5.59/5.99  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.59/5.99  intersection  [55, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.59/5.99  complement  [56, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 5.59/5.99  union  [57, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 5.59/5.99  'symmetric_difference'  [58, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 5.59/5.99  restrict  [60, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 5.59/5.99  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 5.59/5.99  'domain_of'  [62, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 98.07/98.50  rotate  [63, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 98.07/98.50  flip  [65, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 98.07/98.50  inverse  [66, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 98.07/98.50  'range_of'  [67, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 98.07/98.50  domain  [68, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 98.07/98.50  range  [69, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 98.07/98.50  image  [70, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 98.07/98.50  successor  [71, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 98.07/98.50  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 98.07/98.50  inductive  [73, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 98.07/98.50  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 98.07/98.50  'sum_class'  [75, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 98.07/98.50  'power_class'  [76, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 98.07/98.50  compose  [78, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 98.07/98.50  'single_valued_class'  [79, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 98.07/98.50  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 98.07/98.50  function  [82, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 98.07/98.50  regular  [83, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 98.07/98.50  apply  [84, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 98.07/98.50  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 98.07/98.50  'one_to_one'  [86, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 98.07/98.50  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 98.07/98.50  diagonalise  [88, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 98.07/98.50  cantor  [89, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 98.07/98.50  operation  [90, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 98.07/98.50  compatible  [94, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 98.07/98.50  homomorphism  [95, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 98.07/98.50  'not_homomorphism1'  [96, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 98.07/98.50  'not_homomorphism2'  [97, 3]      (w:1, o:101, a:1, s:1, b:0), 
% 98.07/98.50  w  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 98.07/98.50  x  [99, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 98.07/98.50  y  [100, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 98.07/98.50  z  [101, 0]      (w:1, o:32, a:1, s:1, b:0).
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Starting Search:
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    5146
% 98.07/98.50  Kept:         2005
% 98.07/98.50  Inuse:        109
% 98.07/98.50  Deleted:      6
% 98.07/98.50  Deletedinuse: 2
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    9845
% 98.07/98.50  Kept:         4023
% 98.07/98.50  Inuse:        184
% 98.07/98.50  Deleted:      16
% 98.07/98.50  Deletedinuse: 6
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    13694
% 98.07/98.50  Kept:         6023
% 98.07/98.50  Inuse:        235
% 98.07/98.50  Deleted:      19
% 98.07/98.50  Deletedinuse: 6
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    18644
% 98.07/98.50  Kept:         8160
% 98.07/98.50  Inuse:        286
% 98.07/98.50  Deleted:      67
% 98.07/98.50  Deletedinuse: 52
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    25723
% 98.07/98.50  Kept:         11243
% 98.07/98.50  Inuse:        369
% 98.07/98.50  Deleted:      80
% 98.07/98.50  Deletedinuse: 63
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    32136
% 98.07/98.50  Kept:         13471
% 98.07/98.50  Inuse:        379
% 98.07/98.50  Deleted:      86
% 98.07/98.50  Deletedinuse: 69
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    37521
% 98.07/98.50  Kept:         15518
% 98.07/98.50  Inuse:        432
% 98.07/98.50  Deleted:      86
% 98.07/98.50  Deletedinuse: 69
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    44422
% 98.07/98.50  Kept:         18084
% 98.07/98.50  Inuse:        489
% 98.07/98.50  Deleted:      88
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying clauses:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    50993
% 98.07/98.50  Kept:         20132
% 98.07/98.50  Inuse:        516
% 98.07/98.50  Deleted:      3049
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    56730
% 98.07/98.50  Kept:         22188
% 98.07/98.50  Inuse:        562
% 98.07/98.50  Deleted:      3049
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    62448
% 98.07/98.50  Kept:         24244
% 98.07/98.50  Inuse:        613
% 98.07/98.50  Deleted:      3049
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    68345
% 98.07/98.50  Kept:         26273
% 98.07/98.50  Inuse:        652
% 98.07/98.50  Deleted:      3049
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    81897
% 98.07/98.50  Kept:         30053
% 98.07/98.50  Inuse:        689
% 98.07/98.50  Deleted:      3049
% 98.07/98.50  Deletedinuse: 71
% 98.07/98.50  
% 98.07/98.50  Resimplifying inuse:
% 98.07/98.50  Done
% 98.07/98.50  
% 98.07/98.50  
% 98.07/98.50  Intermediate Status:
% 98.07/98.50  Generated:    88547
% 98.07/98.50  Kept:         32124
% 278.62/279.01  Inuse:        694
% 278.62/279.01  Deleted:      3053
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    93151
% 278.62/279.01  Kept:         34715
% 278.62/279.01  Inuse:        698
% 278.62/279.01  Deleted:      3054
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    97906
% 278.62/279.01  Kept:         37451
% 278.62/279.01  Inuse:        703
% 278.62/279.01  Deleted:      3054
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    102573
% 278.62/279.01  Kept:         39486
% 278.62/279.01  Inuse:        708
% 278.62/279.01  Deleted:      3054
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    107293
% 278.62/279.01  Kept:         41550
% 278.62/279.01  Inuse:        713
% 278.62/279.01  Deleted:      3054
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying clauses:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    112358
% 278.62/279.01  Kept:         43956
% 278.62/279.01  Inuse:        718
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    117405
% 278.62/279.01  Kept:         46373
% 278.62/279.01  Inuse:        723
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    124993
% 278.62/279.01  Kept:         48453
% 278.62/279.01  Inuse:        737
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    145001
% 278.62/279.01  Kept:         50534
% 278.62/279.01  Inuse:        746
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    185154
% 278.62/279.01  Kept:         52654
% 278.62/279.01  Inuse:        766
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    200814
% 278.62/279.01  Kept:         54909
% 278.62/279.01  Inuse:        778
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    212102
% 278.62/279.01  Kept:         57964
% 278.62/279.01  Inuse:        788
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    222653
% 278.62/279.01  Kept:         60690
% 278.62/279.01  Inuse:        798
% 278.62/279.01  Deleted:      3623
% 278.62/279.01  Deletedinuse: 75
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying clauses:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    232289
% 278.62/279.01  Kept:         62894
% 278.62/279.01  Inuse:        808
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    242952
% 278.62/279.01  Kept:         65421
% 278.62/279.01  Inuse:        818
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    255279
% 278.62/279.01  Kept:         67486
% 278.62/279.01  Inuse:        827
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    263293
% 278.62/279.01  Kept:         69924
% 278.62/279.01  Inuse:        833
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    272665
% 278.62/279.01  Kept:         72938
% 278.62/279.01  Inuse:        843
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    282939
% 278.62/279.01  Kept:         75631
% 278.62/279.01  Inuse:        853
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    294327
% 278.62/279.01  Kept:         78361
% 278.62/279.01  Inuse:        863
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    305976
% 278.62/279.01  Kept:         81469
% 278.62/279.01  Inuse:        873
% 278.62/279.01  Deleted:      8595
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying clauses:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    318152
% 278.62/279.01  Kept:         84672
% 278.62/279.01  Inuse:        883
% 278.62/279.01  Deleted:      9804
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    330565
% 278.62/279.01  Kept:         87702
% 278.62/279.01  Inuse:        893
% 278.62/279.01  Deleted:      9804
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    342967
% 278.62/279.01  Kept:         90971
% 278.62/279.01  Inuse:        903
% 278.62/279.01  Deleted:      9804
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  
% 278.62/279.01  Intermediate Status:
% 278.62/279.01  Generated:    355876
% 278.62/279.01  Kept:         94328
% 278.62/279.01  Inuse:        913
% 278.62/279.01  Deleted:      9804
% 278.62/279.01  Deletedinuse: 113
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  Done
% 278.62/279.01  
% 278.62/279.01  Resimplifying inuse:
% 278.62/279.01  DoneCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------