TSTP Solution File: SET116-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET116-6 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 22:47:18 EDT 2022

% Result   : Timeout 289.17s 289.68s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET116-6 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sat Jul  9 21:21:55 EDT 2022
% 0.13/0.34  % 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'( 
% 6.93/7.34    'domain_of'( X ) ) ) ],
% 6.93/7.34     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 6.93/7.34     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 6.93/7.34    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 6.93/7.34    X ) ],
% 6.93/7.34     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 6.93/7.34     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 6.93/7.34    'domain_of'( X ) ) ],
% 6.93/7.34     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 6.93/7.34    'domain_of'( Z ) ) ) ],
% 6.93/7.34     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 6.93/7.34    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 6.93/7.34     ), compatible( X, Y, Z ) ],
% 6.93/7.34     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 6.93/7.34     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 6.93/7.34     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 6.93/7.34     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 6.93/7.34    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 6.93/7.34    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 6.93/7.34     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 6.93/7.34    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 6.93/7.34    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 6.93/7.34    , Y ) ],
% 6.93/7.34     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 6.93/7.34    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 6.93/7.34     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 6.93/7.34    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 6.93/7.34    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 6.93/7.34     [ ~( =( 'ordered_pair'( first( x ), second( x ) ), x ) ) ],
% 6.93/7.34     [ ~( =( second( x ), x ) ) ]
% 6.93/7.34  ] .
% 6.93/7.34  
% 6.93/7.34  
% 6.93/7.34  percentage equality = 0.224044, percentage horn = 0.913978
% 6.93/7.34  This is a problem with some equality
% 6.93/7.34  
% 6.93/7.34  
% 6.93/7.34  
% 6.93/7.34  Options Used:
% 6.93/7.34  
% 6.93/7.34  useres =            1
% 6.93/7.34  useparamod =        1
% 6.93/7.34  useeqrefl =         1
% 6.93/7.34  useeqfact =         1
% 6.93/7.34  usefactor =         1
% 6.93/7.34  usesimpsplitting =  0
% 6.93/7.34  usesimpdemod =      5
% 6.93/7.34  usesimpres =        3
% 6.93/7.34  
% 6.93/7.34  resimpinuse      =  1000
% 6.93/7.34  resimpclauses =     20000
% 6.93/7.34  substype =          eqrewr
% 6.93/7.34  backwardsubs =      1
% 6.93/7.34  selectoldest =      5
% 6.93/7.34  
% 6.93/7.34  litorderings [0] =  split
% 6.93/7.34  litorderings [1] =  extend the termordering, first sorting on arguments
% 6.93/7.34  
% 6.93/7.34  termordering =      kbo
% 6.93/7.34  
% 6.93/7.34  litapriori =        0
% 6.93/7.34  termapriori =       1
% 6.93/7.34  litaposteriori =    0
% 6.93/7.34  termaposteriori =   0
% 6.93/7.34  demodaposteriori =  0
% 6.93/7.34  ordereqreflfact =   0
% 6.93/7.34  
% 6.93/7.34  litselect =         negord
% 6.93/7.34  
% 6.93/7.34  maxweight =         15
% 6.93/7.34  maxdepth =          30000
% 6.93/7.34  maxlength =         115
% 6.93/7.34  maxnrvars =         195
% 6.93/7.34  excuselevel =       1
% 6.93/7.34  increasemaxweight = 1
% 6.93/7.34  
% 6.93/7.34  maxselected =       10000000
% 6.93/7.34  maxnrclauses =      10000000
% 6.93/7.34  
% 6.93/7.34  showgenerated =    0
% 6.93/7.34  showkept =         0
% 6.93/7.34  showselected =     0
% 6.93/7.34  showdeleted =      0
% 6.93/7.34  showresimp =       1
% 6.93/7.34  showstatus =       2000
% 6.93/7.34  
% 6.93/7.34  prologoutput =     1
% 6.93/7.34  nrgoals =          5000000
% 6.93/7.34  totalproof =       1
% 6.93/7.34  
% 6.93/7.34  Symbols occurring in the translation:
% 6.93/7.34  
% 6.93/7.34  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 6.93/7.34  .  [1, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 6.93/7.34  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 6.93/7.34  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 6.93/7.34  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 6.93/7.34  subclass  [41, 2]      (w:1, o:80, a:1, s:1, b:0), 
% 6.93/7.34  member  [43, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 6.93/7.34  'not_subclass_element'  [44, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 6.93/7.34  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 6.93/7.34  'unordered_pair'  [46, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 6.93/7.34  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 6.93/7.34  'ordered_pair'  [48, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 6.93/7.34  'cross_product'  [50, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 6.93/7.34  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 6.93/7.34  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 6.93/7.34  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 6.93/7.34  intersection  [55, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 6.93/7.34  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 6.93/7.34  union  [57, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 6.93/7.34  'symmetric_difference'  [58, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 6.93/7.34  restrict  [60, 3]      (w:1, o:92, a:1, s:1, b:0), 
% 6.93/7.34  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 6.93/7.34  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 110.22/110.71  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 110.22/110.71  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 110.22/110.71  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 110.22/110.71  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 110.22/110.71  domain  [68, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 110.22/110.71  range  [69, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 110.22/110.71  image  [70, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 110.22/110.71  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 110.22/110.71  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 110.22/110.71  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 110.22/110.71  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 110.22/110.71  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 110.22/110.71  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 110.22/110.71  compose  [78, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 110.22/110.71  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 110.22/110.71  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 110.22/110.71  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 110.22/110.71  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 110.22/110.71  apply  [84, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 110.22/110.71  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 110.22/110.71  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 110.22/110.71  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 110.22/110.71  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 110.22/110.71  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 110.22/110.71  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 110.22/110.71  compatible  [94, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 110.22/110.71  homomorphism  [95, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 110.22/110.71  'not_homomorphism1'  [96, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 110.22/110.71  'not_homomorphism2'  [97, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 110.22/110.71  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0).
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Starting Search:
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    4921
% 110.22/110.71  Kept:         2000
% 110.22/110.71  Inuse:        100
% 110.22/110.71  Deleted:      8
% 110.22/110.71  Deletedinuse: 2
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    9545
% 110.22/110.71  Kept:         4011
% 110.22/110.71  Inuse:        181
% 110.22/110.71  Deleted:      19
% 110.22/110.71  Deletedinuse: 7
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    13399
% 110.22/110.71  Kept:         6035
% 110.22/110.71  Inuse:        234
% 110.22/110.71  Deleted:      22
% 110.22/110.71  Deletedinuse: 8
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    18200
% 110.22/110.71  Kept:         8120
% 110.22/110.71  Inuse:        285
% 110.22/110.71  Deleted:      80
% 110.22/110.71  Deletedinuse: 64
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    24909
% 110.22/110.71  Kept:         11085
% 110.22/110.71  Inuse:        368
% 110.22/110.71  Deleted:      91
% 110.22/110.71  Deletedinuse: 73
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    31017
% 110.22/110.71  Kept:         13230
% 110.22/110.71  Inuse:        378
% 110.22/110.71  Deleted:      97
% 110.22/110.71  Deletedinuse: 79
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    36423
% 110.22/110.71  Kept:         15240
% 110.22/110.71  Inuse:        432
% 110.22/110.71  Deleted:      97
% 110.22/110.71  Deletedinuse: 79
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    40844
% 110.22/110.71  Kept:         17259
% 110.22/110.71  Inuse:        484
% 110.22/110.71  Deleted:      99
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    47185
% 110.22/110.71  Kept:         19281
% 110.22/110.71  Inuse:        505
% 110.22/110.71  Deleted:      99
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying clauses:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    53798
% 110.22/110.71  Kept:         21327
% 110.22/110.71  Inuse:        546
% 110.22/110.71  Deleted:      3285
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    60154
% 110.22/110.71  Kept:         23381
% 110.22/110.71  Inuse:        599
% 110.22/110.71  Deleted:      3285
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    66486
% 110.22/110.71  Kept:         25414
% 110.22/110.71  Inuse:        645
% 110.22/110.71  Deleted:      3285
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    75239
% 110.22/110.71  Kept:         27434
% 110.22/110.71  Inuse:        687
% 110.22/110.71  Deleted:      3291
% 110.22/110.71  Deletedinuse: 81
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    79699
% 110.22/110.71  Kept:         30004
% 110.22/110.71  Inuse:        692
% 110.22/110.71  Deleted:      3295
% 110.22/110.71  Deletedinuse: 85
% 110.22/110.71  
% 110.22/110.71  Resimplifying inuse:
% 110.22/110.71  Done
% 110.22/110.71  
% 110.22/110.71  
% 110.22/110.71  Intermediate Status:
% 110.22/110.71  Generated:    84233
% 110.22/110.71  Kept:         32604
% 110.22/110.71  Inuse:        697
% 289.17/289.68  Deleted:      3295
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    88850
% 289.17/289.68  Kept:         34621
% 289.17/289.68  Inuse:        703
% 289.17/289.68  Deleted:      3295
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    93539
% 289.17/289.68  Kept:         36664
% 289.17/289.68  Inuse:        709
% 289.17/289.68  Deleted:      3295
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    97980
% 289.17/289.68  Kept:         38780
% 289.17/289.68  Inuse:        712
% 289.17/289.68  Deleted:      3295
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    102800
% 289.17/289.68  Kept:         41099
% 289.17/289.68  Inuse:        717
% 289.17/289.68  Deleted:      3295
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying clauses:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    118267
% 289.17/289.68  Kept:         44220
% 289.17/289.68  Inuse:        732
% 289.17/289.68  Deleted:      3772
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    164293
% 289.17/289.68  Kept:         46338
% 289.17/289.68  Inuse:        756
% 289.17/289.68  Deleted:      3772
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    173377
% 289.17/289.68  Kept:         48798
% 289.17/289.68  Inuse:        762
% 289.17/289.68  Deleted:      3772
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    183939
% 289.17/289.68  Kept:         51758
% 289.17/289.68  Inuse:        772
% 289.17/289.68  Deleted:      3772
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    194438
% 289.17/289.68  Kept:         53942
% 289.17/289.68  Inuse:        782
% 289.17/289.68  Deleted:      3772
% 289.17/289.68  Deletedinuse: 85
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    204618
% 289.17/289.68  Kept:         56370
% 289.17/289.68  Inuse:        792
% 289.17/289.68  Deleted:      3776
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    216637
% 289.17/289.68  Kept:         58501
% 289.17/289.68  Inuse:        799
% 289.17/289.68  Deleted:      3776
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    225698
% 289.17/289.68  Kept:         60574
% 289.17/289.68  Inuse:        811
% 289.17/289.68  Deleted:      3776
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying clauses:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    231948
% 289.17/289.68  Kept:         62590
% 289.17/289.68  Inuse:        816
% 289.17/289.68  Deleted:      5150
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    245185
% 289.17/289.68  Kept:         65797
% 289.17/289.68  Inuse:        827
% 289.17/289.68  Deleted:      5150
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    260857
% 289.17/289.68  Kept:         67892
% 289.17/289.68  Inuse:        842
% 289.17/289.68  Deleted:      5150
% 289.17/289.68  Deletedinuse: 89
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    275783
% 289.17/289.68  Kept:         71331
% 289.17/289.68  Inuse:        857
% 289.17/289.68  Deleted:      5221
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    285114
% 289.17/289.68  Kept:         74256
% 289.17/289.68  Inuse:        867
% 289.17/289.68  Deleted:      5221
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    294975
% 289.17/289.68  Kept:         76562
% 289.17/289.68  Inuse:        877
% 289.17/289.68  Deleted:      5221
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    305427
% 289.17/289.68  Kept:         78921
% 289.17/289.68  Inuse:        887
% 289.17/289.68  Deleted:      5221
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    315837
% 289.17/289.68  Kept:         81118
% 289.17/289.68  Inuse:        897
% 289.17/289.68  Deleted:      5221
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying clauses:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    326648
% 289.17/289.68  Kept:         83879
% 289.17/289.68  Inuse:        907
% 289.17/289.68  Deleted:      14659
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    338923
% 289.17/289.68  Kept:         86870
% 289.17/289.68  Inuse:        917
% 289.17/289.68  Deleted:      14659
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    351104
% 289.17/289.68  Kept:         89522
% 289.17/289.68  Inuse:        927
% 289.17/289.68  Deleted:      14659
% 289.17/289.68  Deletedinuse: 160
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  Resimplifying inuse:
% 289.17/289.68  Done
% 289.17/289.68  
% 289.17/289.68  
% 289.17/289.68  Intermediate Status:
% 289.17/289.68  Generated:    364433
% 289.17/289.68  Kept:         91635
% 289.17/289.68  Inuse:        939
% 289.17/289.68  Deleted:      14659
% 289.17/289.68  Deletedinuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------