TSTP Solution File: SET100-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET100-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 22:47:04 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET100-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % DateTime : Sun Jul 10 09:26:47 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.72/1.10  *** allocated 10000 integers for termspace/termends
% 0.72/1.10  *** allocated 10000 integers for clauses
% 0.72/1.10  *** allocated 10000 integers for justifications
% 0.72/1.10  Bliksem 1.12
% 0.72/1.10  
% 0.72/1.10  
% 0.72/1.10  Automatic Strategy Selection
% 0.72/1.10  
% 0.72/1.10  Clauses:
% 0.72/1.10  [
% 0.72/1.10     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.10     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.10     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ subclass( X, 'universal_class' ) ],
% 0.72/1.10     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.10     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.10     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.10     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.10     ) ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.10     ) ) ],
% 0.72/1.10     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.10     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.10     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.10     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.10    X, Z ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.10    Y, T ) ],
% 0.72/1.10     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.10     ), 'cross_product'( Y, T ) ) ],
% 0.72/1.10     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.10     ), second( X ) ), X ) ],
% 0.72/1.10     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.72/1.10    'universal_class' ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.72/1.10    Y ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.10    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.10    , Y ), 'element_relation' ) ],
% 0.72/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.10     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.72/1.10    Z ) ) ],
% 0.72/1.10     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.72/1.10    member( X, Y ) ],
% 0.72/1.10     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.72/1.10    union( X, Y ) ) ],
% 0.72/1.10     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.72/1.10    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.72/1.10    'symmetric_difference'( X, Y ) ) ],
% 0.72/1.10     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.10     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.72/1.10    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.10     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.10     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.10    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.72/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.72/1.10    Y ), rotate( T ) ) ],
% 0.72/1.10     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.10    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.10    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.72/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.72/1.10    Z ), flip( T ) ) ],
% 0.72/1.10     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.72/1.10    inverse( X ) ) ],
% 0.72/1.10     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.10     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.72/1.10    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.10     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.72/1.10    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.10     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.10     ],
% 0.72/1.10     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.10     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.72/1.10    'universal_class' ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.72/1.10    successor( X ), Y ) ],
% 0.72/1.10     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.72/1.10    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.72/1.10    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.10     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.10     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.72/1.10    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.10     [ inductive( omega ) ],
% 0.72/1.10     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.10     [ member( omega, 'universal_class' ) ],
% 0.72/1.10     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.10    , 'sum_class'( X ) ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.72/1.10    'universal_class' ) ],
% 0.72/1.10     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.72/1.10    'power_class'( X ) ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.72/1.10    'universal_class' ) ],
% 0.72/1.10     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.72/1.10    'universal_class' ) ) ],
% 0.72/1.10     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.72/1.10    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.10     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.72/1.10    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.72/1.10    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.10     ) ],
% 0.72/1.10     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.10    , 'identity_relation' ) ],
% 0.72/1.10     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.72/1.10    'single_valued_class'( X ) ],
% 0.72/1.10     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.72/1.10    'universal_class' ) ) ],
% 0.72/1.10     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.72/1.10    'identity_relation' ) ],
% 0.72/1.10     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.10     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.10    , function( X ) ],
% 0.72/1.10     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.72/1.10    X, Y ), 'universal_class' ) ],
% 0.72/1.10     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.10     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.10     ) ],
% 0.72/1.10     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.10     [ function( choice ) ],
% 0.72/1.10     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.72/1.10    apply( choice, X ), X ) ],
% 0.72/1.10     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.10     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.10     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.10    ,
% 0.72/1.10     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.10     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.10    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.72/1.10    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.10     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.72/1.10    'identity_relation' ) ],
% 0.72/1.10     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.10    , diagonalise( X ) ) ],
% 0.72/1.10     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.72/1.10    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.10     [ ~( operation( X ) ), function( X ) ],
% 0.72/1.10     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.10     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.10     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.56/5.92    'domain_of'( X ) ) ) ],
% 5.56/5.92     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.56/5.92     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.56/5.92    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.56/5.92    X ) ],
% 5.56/5.92     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.56/5.92     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.56/5.92    'domain_of'( X ) ) ],
% 5.56/5.92     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.56/5.92    'domain_of'( Z ) ) ) ],
% 5.56/5.92     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.56/5.92    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.56/5.92     ), compatible( X, Y, Z ) ],
% 5.56/5.92     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.56/5.92     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.56/5.92     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.56/5.92     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.56/5.92    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.56/5.92    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.56/5.92     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.56/5.92    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.56/5.92    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.56/5.92    , Y ) ],
% 5.56/5.92     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.56/5.92    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.56/5.92     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.56/5.92    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.56/5.92    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.56/5.92     [ ~( =( 'unordered_pair'( x, y ), union( singleton( x ), singleton( y )
% 5.56/5.92     ) ) ) ]
% 5.56/5.92  ] .
% 5.56/5.92  
% 5.56/5.92  
% 5.56/5.92  percentage equality = 0.219780, percentage horn = 0.913043
% 5.56/5.92  This is a problem with some equality
% 5.56/5.92  
% 5.56/5.92  
% 5.56/5.92  
% 5.56/5.92  Options Used:
% 5.56/5.92  
% 5.56/5.92  useres =            1
% 5.56/5.92  useparamod =        1
% 5.56/5.92  useeqrefl =         1
% 5.56/5.92  useeqfact =         1
% 5.56/5.92  usefactor =         1
% 5.56/5.92  usesimpsplitting =  0
% 5.56/5.92  usesimpdemod =      5
% 5.56/5.92  usesimpres =        3
% 5.56/5.92  
% 5.56/5.92  resimpinuse      =  1000
% 5.56/5.92  resimpclauses =     20000
% 5.56/5.92  substype =          eqrewr
% 5.56/5.92  backwardsubs =      1
% 5.56/5.92  selectoldest =      5
% 5.56/5.92  
% 5.56/5.92  litorderings [0] =  split
% 5.56/5.92  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.56/5.92  
% 5.56/5.92  termordering =      kbo
% 5.56/5.92  
% 5.56/5.92  litapriori =        0
% 5.56/5.92  termapriori =       1
% 5.56/5.92  litaposteriori =    0
% 5.56/5.92  termaposteriori =   0
% 5.56/5.92  demodaposteriori =  0
% 5.56/5.92  ordereqreflfact =   0
% 5.56/5.92  
% 5.56/5.92  litselect =         negord
% 5.56/5.92  
% 5.56/5.92  maxweight =         15
% 5.56/5.92  maxdepth =          30000
% 5.56/5.92  maxlength =         115
% 5.56/5.92  maxnrvars =         195
% 5.56/5.92  excuselevel =       1
% 5.56/5.92  increasemaxweight = 1
% 5.56/5.92  
% 5.56/5.92  maxselected =       10000000
% 5.56/5.92  maxnrclauses =      10000000
% 5.56/5.92  
% 5.56/5.92  showgenerated =    0
% 5.56/5.92  showkept =         0
% 5.56/5.92  showselected =     0
% 5.56/5.92  showdeleted =      0
% 5.56/5.92  showresimp =       1
% 5.56/5.92  showstatus =       2000
% 5.56/5.92  
% 5.56/5.92  prologoutput =     1
% 5.56/5.92  nrgoals =          5000000
% 5.56/5.92  totalproof =       1
% 5.56/5.92  
% 5.56/5.92  Symbols occurring in the translation:
% 5.56/5.92  
% 5.56/5.92  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.56/5.92  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.56/5.92  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 5.56/5.92  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.56/5.92  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.56/5.92  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.56/5.92  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.56/5.92  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.56/5.92  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.56/5.92  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.56/5.92  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.56/5.92  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.56/5.92  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.56/5.92  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.56/5.92  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.56/5.92  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.56/5.92  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.56/5.92  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.56/5.92  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.56/5.92  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.56/5.92  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 5.56/5.92  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 5.56/5.92  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 97.63/98.03  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 97.63/98.03  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 97.63/98.03  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 97.63/98.03  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 97.63/98.03  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 97.63/98.03  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 97.63/98.03  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 97.63/98.03  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 97.63/98.03  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 97.63/98.03  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 97.63/98.03  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 97.63/98.03  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 97.63/98.03  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 97.63/98.03  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 97.63/98.03  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 97.63/98.03  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 97.63/98.03  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 97.63/98.03  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 97.63/98.03  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 97.63/98.03  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 97.63/98.03  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 97.63/98.03  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 97.63/98.03  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 97.63/98.03  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 97.63/98.03  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 97.63/98.03  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 97.63/98.03  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 97.63/98.03  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 97.63/98.03  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 97.63/98.03  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 97.63/98.03  y  [99, 0]      (w:1, o:30, a:1, s:1, b:0).
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Starting Search:
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    5496
% 97.63/98.03  Kept:         2040
% 97.63/98.03  Inuse:        103
% 97.63/98.03  Deleted:      5
% 97.63/98.03  Deletedinuse: 2
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    10252
% 97.63/98.03  Kept:         4048
% 97.63/98.03  Inuse:        188
% 97.63/98.03  Deleted:      23
% 97.63/98.03  Deletedinuse: 14
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    14125
% 97.63/98.03  Kept:         6080
% 97.63/98.03  Inuse:        239
% 97.63/98.03  Deleted:      27
% 97.63/98.03  Deletedinuse: 15
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    18823
% 97.63/98.03  Kept:         8089
% 97.63/98.03  Inuse:        291
% 97.63/98.03  Deleted:      84
% 97.63/98.03  Deletedinuse: 71
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    25310
% 97.63/98.03  Kept:         10943
% 97.63/98.03  Inuse:        371
% 97.63/98.03  Deleted:      95
% 97.63/98.03  Deletedinuse: 80
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    31264
% 97.63/98.03  Kept:         13010
% 97.63/98.03  Inuse:        381
% 97.63/98.03  Deleted:      101
% 97.63/98.03  Deletedinuse: 86
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    36733
% 97.63/98.03  Kept:         15036
% 97.63/98.03  Inuse:        434
% 97.63/98.03  Deleted:      101
% 97.63/98.03  Deletedinuse: 86
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    43342
% 97.63/98.03  Kept:         17554
% 97.63/98.03  Inuse:        491
% 97.63/98.03  Deleted:      103
% 97.63/98.03  Deletedinuse: 88
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    49533
% 97.63/98.03  Kept:         19599
% 97.63/98.03  Inuse:        519
% 97.63/98.03  Deleted:      104
% 97.63/98.03  Deletedinuse: 88
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying clauses:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    56160
% 97.63/98.03  Kept:         21608
% 97.63/98.03  Inuse:        569
% 97.63/98.03  Deleted:      3330
% 97.63/98.03  Deletedinuse: 88
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    62884
% 97.63/98.03  Kept:         23636
% 97.63/98.03  Inuse:        617
% 97.63/98.03  Deleted:      3330
% 97.63/98.03  Deletedinuse: 88
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    71316
% 97.63/98.03  Kept:         25659
% 97.63/98.03  Inuse:        659
% 97.63/98.03  Deleted:      3340
% 97.63/98.03  Deletedinuse: 92
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    78908
% 97.63/98.03  Kept:         27694
% 97.63/98.03  Inuse:        687
% 97.63/98.03  Deleted:      3340
% 97.63/98.03  Deletedinuse: 92
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    87156
% 97.63/98.03  Kept:         31142
% 97.63/98.03  Inuse:        694
% 97.63/98.03  Deleted:      3340
% 97.63/98.03  Deletedinuse: 92
% 97.63/98.03  
% 97.63/98.03  Resimplifying inuse:
% 97.63/98.03  Done
% 97.63/98.03  
% 97.63/98.03  
% 97.63/98.03  Intermediate Status:
% 97.63/98.03  Generated:    91090
% 276.21/276.63  Kept:         33310
% 276.21/276.63  Inuse:        699
% 276.21/276.63  Deleted:      3377
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    95101
% 276.21/276.63  Kept:         35540
% 276.21/276.63  Inuse:        704
% 276.21/276.63  Deleted:      3377
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    103208
% 276.21/276.63  Kept:         38812
% 276.21/276.63  Inuse:        714
% 276.21/276.63  Deleted:      3377
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying clauses:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    107821
% 276.21/276.63  Kept:         40846
% 276.21/276.63  Inuse:        722
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    112191
% 276.21/276.63  Kept:         42871
% 276.21/276.63  Inuse:        727
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    125860
% 276.21/276.63  Kept:         45573
% 276.21/276.63  Inuse:        739
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    170508
% 276.21/276.63  Kept:         47737
% 276.21/276.63  Inuse:        764
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    185483
% 276.21/276.63  Kept:         49909
% 276.21/276.63  Inuse:        779
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    195775
% 276.21/276.63  Kept:         52739
% 276.21/276.63  Inuse:        789
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    206340
% 276.21/276.63  Kept:         55610
% 276.21/276.63  Inuse:        799
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    217078
% 276.21/276.63  Kept:         58107
% 276.21/276.63  Inuse:        809
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    228147
% 276.21/276.63  Kept:         60595
% 276.21/276.63  Inuse:        819
% 276.21/276.63  Deleted:      6546
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying clauses:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    240264
% 276.21/276.63  Kept:         62679
% 276.21/276.63  Inuse:        825
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    249683
% 276.21/276.63  Kept:         64681
% 276.21/276.63  Inuse:        836
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    256444
% 276.21/276.63  Kept:         66758
% 276.21/276.63  Inuse:        842
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    271023
% 276.21/276.63  Kept:         70080
% 276.21/276.63  Inuse:        854
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    284221
% 276.21/276.63  Kept:         72090
% 276.21/276.63  Inuse:        868
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    299110
% 276.21/276.63  Kept:         74142
% 276.21/276.63  Inuse:        880
% 276.21/276.63  Deleted:      7584
% 276.21/276.63  Deletedinuse: 129
% 276.21/276.63  
% 276.21/276.63  Resimplifying inuse:
% 276.21/276.63  Done
% 276.21/276.63  
% 276.21/276.63  
% 276.21/276.63  Intermediate Status:
% 276.21/276.63  Generated:    305027
% 276.21/276.63  Kept:         76410
% 276.21/276.63  Inuse:        884
% 276.21/276.64  Deleted:      7584
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    316098
% 276.21/276.64  Kept:         79105
% 276.21/276.64  Inuse:        894
% 276.21/276.64  Deleted:      7584
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  Resimplifying clauses:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    333259
% 276.21/276.64  Kept:         81230
% 276.21/276.64  Inuse:        911
% 276.21/276.64  Deleted:      10241
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    350141
% 276.21/276.64  Kept:         83845
% 276.21/276.64  Inuse:        924
% 276.21/276.64  Deleted:      10241
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    363222
% 276.21/276.64  Kept:         86801
% 276.21/276.64  Inuse:        934
% 276.21/276.64  Deleted:      10241
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    376063
% 276.21/276.64  Kept:         89401
% 276.21/276.64  Inuse:        944
% 276.21/276.64  Deleted:      10241
% 276.21/276.64  Deletedinuse: 129
% 276.21/276.64  
% 276.21/276.64  Resimplifying inuse:
% 276.21/276.64  Done
% 276.21/276.64  
% 276.21/276.64  
% 276.21/276.64  Intermediate Status:
% 276.21/276.64  Generated:    387237
% 276.21/276.64  Kept:         91862
% 276.21/276.64  Inuse:        95Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------