TSTP Solution File: SET090-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET090-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:46:53 EDT 2022

% Result   : Timeout 300.08s 300.48s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET090-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul 11 06:19:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.71/1.09     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.71/1.09     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ subclass( X, 'universal_class' ) ],
% 0.71/1.09     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.71/1.09     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.71/1.09     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.71/1.09     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.71/1.09     ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.71/1.09     ) ) ],
% 0.71/1.09     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.71/1.09     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.71/1.09     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.71/1.09     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.71/1.09    X, Z ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.71/1.09    Y, T ) ],
% 0.71/1.09     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.71/1.09     ), 'cross_product'( Y, T ) ) ],
% 0.71/1.09     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.71/1.09     ), second( X ) ), X ) ],
% 0.71/1.09     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.71/1.09    Y ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.09    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.71/1.09    , Y ), 'element_relation' ) ],
% 0.71/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.71/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.71/1.09     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.71/1.09    Z ) ) ],
% 0.71/1.09     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.71/1.09    member( X, Y ) ],
% 0.71/1.09     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.71/1.09    union( X, Y ) ) ],
% 0.71/1.09     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.71/1.09    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.71/1.09    'symmetric_difference'( X, Y ) ) ],
% 0.71/1.09     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.71/1.09     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.71/1.09    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.71/1.09     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.71/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.71/1.09     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.71/1.09    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.71/1.09    Y ), rotate( T ) ) ],
% 0.71/1.09     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.71/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.71/1.09    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.71/1.09    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.71/1.09    Z ), flip( T ) ) ],
% 0.71/1.09     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.71/1.09    inverse( X ) ) ],
% 0.71/1.09     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.71/1.09     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.71/1.09    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.71/1.09     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.71/1.09    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.71/1.09     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.71/1.09     ],
% 0.71/1.09     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.71/1.09     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.71/1.09    successor( X ), Y ) ],
% 0.71/1.09     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.71/1.09    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.71/1.09     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.71/1.09     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.71/1.09    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.71/1.09     [ inductive( omega ) ],
% 0.71/1.09     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.71/1.09     [ member( omega, 'universal_class' ) ],
% 0.71/1.09     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.71/1.09    , 'sum_class'( X ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.71/1.09    'universal_class' ) ],
% 0.71/1.09     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.71/1.09    'power_class'( X ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.71/1.09    'universal_class' ) ],
% 0.71/1.09     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.71/1.09    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.71/1.09     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.71/1.09    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.71/1.09     ) ],
% 0.71/1.09     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.71/1.09    , 'identity_relation' ) ],
% 0.71/1.09     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.71/1.09    'single_valued_class'( X ) ],
% 0.71/1.09     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.71/1.09    'identity_relation' ) ],
% 0.71/1.09     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.09     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.71/1.09    , function( X ) ],
% 0.71/1.09     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.71/1.09    X, Y ), 'universal_class' ) ],
% 0.71/1.09     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.71/1.09     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.71/1.09     ) ],
% 0.71/1.09     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.71/1.09     [ function( choice ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.71/1.09    apply( choice, X ), X ) ],
% 0.71/1.09     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.71/1.09     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.71/1.09     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.09     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.71/1.09    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.71/1.09    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.71/1.09     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.71/1.09    'identity_relation' ) ],
% 0.71/1.09     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.71/1.09    , diagonalise( X ) ) ],
% 0.71/1.09     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.71/1.09    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.71/1.09     [ ~( operation( X ) ), function( X ) ],
% 0.71/1.09     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.71/1.09     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.71/1.09     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.81/6.18    'domain_of'( X ) ) ) ],
% 5.81/6.18     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.81/6.18     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.81/6.18    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.81/6.18    X ) ],
% 5.81/6.18     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.81/6.18     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.81/6.18    'domain_of'( X ) ) ],
% 5.81/6.18     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.81/6.18    'domain_of'( Z ) ) ) ],
% 5.81/6.18     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.81/6.18    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.81/6.18     ), compatible( X, Y, Z ) ],
% 5.81/6.18     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.81/6.18     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.81/6.18     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.81/6.18     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.81/6.18    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.81/6.18    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.81/6.18     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.81/6.18    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.81/6.18    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.81/6.18    , Y ) ],
% 5.81/6.18     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.81/6.18    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.81/6.18     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.81/6.18    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.81/6.18    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.81/6.18     [ member( u, 'universal_class' ) ],
% 5.81/6.18     [ ~( =( 'member_of'( singleton( u ) ), u ) ) ]
% 5.81/6.18  ] .
% 5.81/6.18  
% 5.81/6.18  
% 5.81/6.18  percentage equality = 0.218579, percentage horn = 0.913978
% 5.81/6.18  This is a problem with some equality
% 5.81/6.18  
% 5.81/6.18  
% 5.81/6.18  
% 5.81/6.18  Options Used:
% 5.81/6.18  
% 5.81/6.18  useres =            1
% 5.81/6.18  useparamod =        1
% 5.81/6.18  useeqrefl =         1
% 5.81/6.18  useeqfact =         1
% 5.81/6.18  usefactor =         1
% 5.81/6.18  usesimpsplitting =  0
% 5.81/6.18  usesimpdemod =      5
% 5.81/6.18  usesimpres =        3
% 5.81/6.18  
% 5.81/6.18  resimpinuse      =  1000
% 5.81/6.18  resimpclauses =     20000
% 5.81/6.18  substype =          eqrewr
% 5.81/6.18  backwardsubs =      1
% 5.81/6.18  selectoldest =      5
% 5.81/6.18  
% 5.81/6.18  litorderings [0] =  split
% 5.81/6.18  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.81/6.18  
% 5.81/6.18  termordering =      kbo
% 5.81/6.18  
% 5.81/6.18  litapriori =        0
% 5.81/6.18  termapriori =       1
% 5.81/6.18  litaposteriori =    0
% 5.81/6.18  termaposteriori =   0
% 5.81/6.18  demodaposteriori =  0
% 5.81/6.18  ordereqreflfact =   0
% 5.81/6.18  
% 5.81/6.18  litselect =         negord
% 5.81/6.18  
% 5.81/6.18  maxweight =         15
% 5.81/6.18  maxdepth =          30000
% 5.81/6.18  maxlength =         115
% 5.81/6.18  maxnrvars =         195
% 5.81/6.18  excuselevel =       1
% 5.81/6.18  increasemaxweight = 1
% 5.81/6.18  
% 5.81/6.18  maxselected =       10000000
% 5.81/6.18  maxnrclauses =      10000000
% 5.81/6.18  
% 5.81/6.18  showgenerated =    0
% 5.81/6.18  showkept =         0
% 5.81/6.18  showselected =     0
% 5.81/6.18  showdeleted =      0
% 5.81/6.18  showresimp =       1
% 5.81/6.18  showstatus =       2000
% 5.81/6.18  
% 5.81/6.18  prologoutput =     1
% 5.81/6.18  nrgoals =          5000000
% 5.81/6.18  totalproof =       1
% 5.81/6.18  
% 5.81/6.18  Symbols occurring in the translation:
% 5.81/6.18  
% 5.81/6.18  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.81/6.18  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.81/6.18  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 5.81/6.18  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.81/6.18  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.81/6.18  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.81/6.18  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.81/6.18  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.81/6.18  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.81/6.18  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.81/6.18  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 5.81/6.18  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.81/6.18  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.81/6.18  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.81/6.18  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.81/6.18  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.81/6.18  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.81/6.18  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.81/6.18  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.81/6.18  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.81/6.18  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 5.81/6.18  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 5.81/6.18  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 98.76/99.17  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 98.76/99.17  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 98.76/99.17  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 98.76/99.17  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 98.76/99.17  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 98.76/99.17  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 98.76/99.17  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 98.76/99.17  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 98.76/99.17  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 98.76/99.17  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 98.76/99.17  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 98.76/99.17  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 98.76/99.17  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 98.76/99.17  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 98.76/99.17  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 98.76/99.17  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 98.76/99.17  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 98.76/99.17  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 98.76/99.17  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 98.76/99.17  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 98.76/99.17  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 98.76/99.17  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 98.76/99.17  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 98.76/99.17  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 98.76/99.17  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 98.76/99.17  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 98.76/99.17  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 98.76/99.17  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 98.76/99.17  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 98.76/99.17  u  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 98.76/99.17  'member_of'  [99, 1]      (w:1, o:55, a:1, s:1, b:0).
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Starting Search:
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    5141
% 98.76/99.17  Kept:         2001
% 98.76/99.17  Inuse:        109
% 98.76/99.17  Deleted:      9
% 98.76/99.17  Deletedinuse: 2
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    9702
% 98.76/99.17  Kept:         4018
% 98.76/99.17  Inuse:        181
% 98.76/99.17  Deleted:      19
% 98.76/99.17  Deletedinuse: 6
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    13753
% 98.76/99.17  Kept:         6083
% 98.76/99.17  Inuse:        235
% 98.76/99.17  Deleted:      23
% 98.76/99.17  Deletedinuse: 7
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    18520
% 98.76/99.17  Kept:         8094
% 98.76/99.17  Inuse:        287
% 98.76/99.17  Deleted:      80
% 98.76/99.17  Deletedinuse: 62
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    24907
% 98.76/99.17  Kept:         10925
% 98.76/99.17  Inuse:        361
% 98.76/99.17  Deleted:      91
% 98.76/99.17  Deletedinuse: 71
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    30807
% 98.76/99.17  Kept:         12963
% 98.76/99.17  Inuse:        372
% 98.76/99.17  Deleted:      97
% 98.76/99.17  Deletedinuse: 77
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    36177
% 98.76/99.17  Kept:         14977
% 98.76/99.17  Inuse:        425
% 98.76/99.17  Deleted:      97
% 98.76/99.17  Deletedinuse: 77
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    42377
% 98.76/99.17  Kept:         17365
% 98.76/99.17  Inuse:        476
% 98.76/99.17  Deleted:      99
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    48821
% 98.76/99.17  Kept:         19391
% 98.76/99.17  Inuse:        509
% 98.76/99.17  Deleted:      99
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying clauses:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    54683
% 98.76/99.17  Kept:         21409
% 98.76/99.17  Inuse:        553
% 98.76/99.17  Deleted:      3145
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    60659
% 98.76/99.17  Kept:         23434
% 98.76/99.17  Inuse:        603
% 98.76/99.17  Deleted:      3145
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    66490
% 98.76/99.17  Kept:         25451
% 98.76/99.17  Inuse:        647
% 98.76/99.17  Deleted:      3145
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    75229
% 98.76/99.17  Kept:         27458
% 98.76/99.17  Inuse:        689
% 98.76/99.17  Deleted:      3145
% 98.76/99.17  Deletedinuse: 79
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    85582
% 98.76/99.17  Kept:         30517
% 98.76/99.17  Inuse:        705
% 98.76/99.17  Deleted:      3155
% 98.76/99.17  Deletedinuse: 83
% 98.76/99.17  
% 98.76/99.17  Resimplifying inuse:
% 98.76/99.17  Done
% 98.76/99.17  
% 98.76/99.17  
% 98.76/99.17  Intermediate Status:
% 98.76/99.17  Generated:    90317
% 243.87/244.25  Kept:         32677
% 243.87/244.25  Inuse:        710
% 243.87/244.25  Deleted:      3155
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    95171
% 243.87/244.25  Kept:         35501
% 243.87/244.25  Inuse:        715
% 243.87/244.25  Deleted:      3155
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    100013
% 243.87/244.25  Kept:         38297
% 243.87/244.25  Inuse:        720
% 243.87/244.25  Deleted:      3155
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    104762
% 243.87/244.25  Kept:         40379
% 243.87/244.25  Inuse:        725
% 243.87/244.25  Deleted:      3155
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying clauses:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    109624
% 243.87/244.25  Kept:         42495
% 243.87/244.25  Inuse:        730
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    114693
% 243.87/244.25  Kept:         44948
% 243.87/244.25  Inuse:        735
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    119815
% 243.87/244.25  Kept:         47419
% 243.87/244.25  Inuse:        740
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    127345
% 243.87/244.25  Kept:         49427
% 243.87/244.25  Inuse:        753
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    147602
% 243.87/244.25  Kept:         51446
% 243.87/244.25  Inuse:        762
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    188923
% 243.87/244.25  Kept:         53539
% 243.87/244.25  Inuse:        782
% 243.87/244.25  Deleted:      3703
% 243.87/244.25  Deletedinuse: 83
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    206419
% 243.87/244.25  Kept:         56473
% 243.87/244.25  Inuse:        800
% 243.87/244.25  Deleted:      3741
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    216598
% 243.87/244.25  Kept:         59319
% 243.87/244.25  Inuse:        810
% 243.87/244.25  Deleted:      3741
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying clauses:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    227082
% 243.87/244.25  Kept:         62099
% 243.87/244.25  Inuse:        820
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    237460
% 243.87/244.25  Kept:         64528
% 243.87/244.25  Inuse:        830
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    255294
% 243.87/244.25  Kept:         67545
% 243.87/244.25  Inuse:        840
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    267332
% 243.87/244.25  Kept:         71747
% 243.87/244.25  Inuse:        850
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    278426
% 243.87/244.25  Kept:         75132
% 243.87/244.25  Inuse:        860
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    283803
% 243.87/244.25  Kept:         77188
% 243.87/244.25  Inuse:        867
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    289575
% 243.87/244.25  Kept:         79470
% 243.87/244.25  Inuse:        870
% 243.87/244.25  Deleted:      8891
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying clauses:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    302874
% 243.87/244.25  Kept:         84220
% 243.87/244.25  Inuse:        880
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    314701
% 243.87/244.25  Kept:         88046
% 243.87/244.25  Inuse:        890
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    320958
% 243.87/244.25  Kept:         90083
% 243.87/244.25  Inuse:        898
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    326453
% 243.87/244.25  Kept:         92192
% 243.87/244.25  Inuse:        900
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    337436
% 243.87/244.25  Kept:         95656
% 243.87/244.25  Inuse:        910
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 243.87/244.25  Generated:    349027
% 243.87/244.25  Kept:         99488
% 243.87/244.25  Inuse:        920
% 243.87/244.25  Deleted:      9631
% 243.87/244.25  Deletedinuse: 121
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  Resimplifying inuse:
% 243.87/244.25  Done
% 243.87/244.25  
% 243.87/244.25  
% 243.87/244.25  Intermediate Status:
% 300.08/300.48  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------