TSTP Solution File: SET020-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET020-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:45:34 EDT 2022

% Result   : Timeout 286.98s 287.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET020-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n028.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Sun Jul 10 02:23:26 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.45/1.14  *** allocated 10000 integers for termspace/termends
% 0.45/1.14  *** allocated 10000 integers for clauses
% 0.45/1.14  *** allocated 10000 integers for justifications
% 0.45/1.14  Bliksem 1.12
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  Automatic Strategy Selection
% 0.45/1.14  
% 0.45/1.14  Clauses:
% 0.45/1.14  [
% 0.45/1.14     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.45/1.14     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.45/1.14     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ subclass( X, 'universal_class' ) ],
% 0.45/1.14     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.45/1.14     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.45/1.14     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.45/1.14     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.45/1.14     ) ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.45/1.14     ) ) ],
% 0.45/1.14     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.45/1.14     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.45/1.14     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.45/1.14     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.45/1.14    X, Z ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.45/1.14    Y, T ) ],
% 0.45/1.14     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.45/1.14     ), 'cross_product'( Y, T ) ) ],
% 0.45/1.14     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.45/1.14     ), second( X ) ), X ) ],
% 0.45/1.14     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.45/1.14    'universal_class' ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.45/1.14    Y ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.45/1.14    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.45/1.14    , Y ), 'element_relation' ) ],
% 0.45/1.14     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.45/1.14     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.45/1.14     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.45/1.14    Z ) ) ],
% 0.45/1.14     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.45/1.14    member( X, Y ) ],
% 0.45/1.14     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.45/1.14    union( X, Y ) ) ],
% 0.45/1.14     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.45/1.14    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.45/1.14    'symmetric_difference'( X, Y ) ) ],
% 0.45/1.14     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.45/1.14     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.45/1.14    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.45/1.14     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.45/1.14    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.45/1.14     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.45/1.14    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.45/1.14    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.45/1.14    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.45/1.14    Y ), rotate( T ) ) ],
% 0.45/1.14     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.45/1.14    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.45/1.14    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.45/1.14    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.45/1.14    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.45/1.14    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.45/1.14    Z ), flip( T ) ) ],
% 0.45/1.14     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.45/1.14    inverse( X ) ) ],
% 0.45/1.14     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.45/1.14     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.45/1.14    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.45/1.14     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.45/1.14    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.45/1.14     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.45/1.14     ],
% 0.45/1.14     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.45/1.14     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.45/1.14    'universal_class' ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.45/1.14    successor( X ), Y ) ],
% 0.45/1.14     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.45/1.14    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.45/1.14    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.45/1.14     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.45/1.14     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.45/1.14    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.45/1.14     [ inductive( omega ) ],
% 0.45/1.14     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.45/1.14     [ member( omega, 'universal_class' ) ],
% 0.45/1.14     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.45/1.14    , 'sum_class'( X ) ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.45/1.14    'universal_class' ) ],
% 0.45/1.14     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.45/1.14    'power_class'( X ) ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.45/1.14    'universal_class' ) ],
% 0.45/1.14     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.45/1.14    'universal_class' ) ) ],
% 0.45/1.14     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.45/1.14    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.45/1.14     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.45/1.14    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.45/1.14    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.45/1.14     ) ],
% 0.45/1.14     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.45/1.14    , 'identity_relation' ) ],
% 0.45/1.14     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.45/1.14    'single_valued_class'( X ) ],
% 0.45/1.14     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.45/1.14    'universal_class' ) ) ],
% 0.45/1.14     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.45/1.14    'identity_relation' ) ],
% 0.45/1.14     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.45/1.14     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.45/1.14    , function( X ) ],
% 0.45/1.14     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.45/1.14    X, Y ), 'universal_class' ) ],
% 0.45/1.14     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.45/1.14     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.45/1.14     ) ],
% 0.45/1.14     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.45/1.14     [ function( choice ) ],
% 0.45/1.14     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.45/1.14    apply( choice, X ), X ) ],
% 0.45/1.14     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.45/1.14     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.45/1.14     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.45/1.14    ,
% 0.45/1.14     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.45/1.14     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.45/1.14    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.45/1.14    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.45/1.14     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.45/1.14    'identity_relation' ) ],
% 0.45/1.14     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.45/1.14    , diagonalise( X ) ) ],
% 0.45/1.14     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.45/1.14    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.45/1.14     [ ~( operation( X ) ), function( X ) ],
% 0.45/1.14     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.45/1.14     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.45/1.14     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.35/5.80    'domain_of'( X ) ) ) ],
% 5.35/5.80     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.35/5.80     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.35/5.80    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.35/5.80    X ) ],
% 5.35/5.80     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.35/5.80     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.35/5.80    'domain_of'( X ) ) ],
% 5.35/5.80     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.35/5.80    'domain_of'( Z ) ) ) ],
% 5.35/5.80     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.35/5.80    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.35/5.80     ), compatible( X, Y, Z ) ],
% 5.35/5.80     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.35/5.80     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.35/5.80     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.35/5.80     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.35/5.80    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.35/5.80    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.35/5.80     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.35/5.80    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.35/5.80    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.35/5.80    , Y ) ],
% 5.35/5.80     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.35/5.80    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.35/5.80     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.35/5.80    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.35/5.80    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.35/5.80     [ member( 'ordered_pair'( u, v ), 'cross_product'( 'universal_class', 
% 5.35/5.80    'universal_class' ) ) ],
% 5.35/5.80     [ ~( =( first( 'ordered_pair'( u, v ) ), u ) ) ]
% 5.35/5.80  ] .
% 5.35/5.80  
% 5.35/5.80  
% 5.35/5.80  percentage equality = 0.218579, percentage horn = 0.913978
% 5.35/5.80  This is a problem with some equality
% 5.35/5.80  
% 5.35/5.80  
% 5.35/5.80  
% 5.35/5.80  Options Used:
% 5.35/5.80  
% 5.35/5.80  useres =            1
% 5.35/5.80  useparamod =        1
% 5.35/5.80  useeqrefl =         1
% 5.35/5.80  useeqfact =         1
% 5.35/5.80  usefactor =         1
% 5.35/5.80  usesimpsplitting =  0
% 5.35/5.80  usesimpdemod =      5
% 5.35/5.80  usesimpres =        3
% 5.35/5.80  
% 5.35/5.80  resimpinuse      =  1000
% 5.35/5.80  resimpclauses =     20000
% 5.35/5.80  substype =          eqrewr
% 5.35/5.80  backwardsubs =      1
% 5.35/5.80  selectoldest =      5
% 5.35/5.80  
% 5.35/5.80  litorderings [0] =  split
% 5.35/5.80  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.35/5.80  
% 5.35/5.80  termordering =      kbo
% 5.35/5.80  
% 5.35/5.80  litapriori =        0
% 5.35/5.80  termapriori =       1
% 5.35/5.80  litaposteriori =    0
% 5.35/5.80  termaposteriori =   0
% 5.35/5.80  demodaposteriori =  0
% 5.35/5.80  ordereqreflfact =   0
% 5.35/5.80  
% 5.35/5.80  litselect =         negord
% 5.35/5.80  
% 5.35/5.80  maxweight =         15
% 5.35/5.80  maxdepth =          30000
% 5.35/5.80  maxlength =         115
% 5.35/5.80  maxnrvars =         195
% 5.35/5.80  excuselevel =       1
% 5.35/5.80  increasemaxweight = 1
% 5.35/5.80  
% 5.35/5.80  maxselected =       10000000
% 5.35/5.80  maxnrclauses =      10000000
% 5.35/5.80  
% 5.35/5.80  showgenerated =    0
% 5.35/5.80  showkept =         0
% 5.35/5.80  showselected =     0
% 5.35/5.80  showdeleted =      0
% 5.35/5.80  showresimp =       1
% 5.35/5.80  showstatus =       2000
% 5.35/5.80  
% 5.35/5.80  prologoutput =     1
% 5.35/5.80  nrgoals =          5000000
% 5.35/5.80  totalproof =       1
% 5.35/5.80  
% 5.35/5.80  Symbols occurring in the translation:
% 5.35/5.80  
% 5.35/5.80  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.35/5.80  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.35/5.80  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 5.35/5.80  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.35/5.80  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.35/5.80  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.35/5.80  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.35/5.80  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.35/5.80  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.35/5.80  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.35/5.80  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.35/5.80  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.35/5.80  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.35/5.80  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.35/5.80  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.35/5.80  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.35/5.80  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.35/5.80  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.35/5.80  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.35/5.80  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.35/5.80  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 5.35/5.80  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 100.81/101.25  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 100.81/101.25  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 100.81/101.25  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 100.81/101.25  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 100.81/101.25  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 100.81/101.25  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 100.81/101.25  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 100.81/101.25  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 100.81/101.25  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 100.81/101.25  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 100.81/101.25  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 100.81/101.25  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 100.81/101.25  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 100.81/101.25  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 100.81/101.25  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 100.81/101.25  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 100.81/101.25  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 100.81/101.25  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 100.81/101.25  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 100.81/101.25  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 100.81/101.25  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 100.81/101.25  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 100.81/101.25  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 100.81/101.25  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 100.81/101.25  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 100.81/101.25  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 100.81/101.25  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 100.81/101.25  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 100.81/101.25  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 100.81/101.25  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 100.81/101.25  u  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 100.81/101.25  v  [99, 0]      (w:1, o:30, a:1, s:1, b:0).
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Starting Search:
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    5497
% 100.81/101.25  Kept:         2041
% 100.81/101.25  Inuse:        103
% 100.81/101.25  Deleted:      5
% 100.81/101.25  Deletedinuse: 2
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    10253
% 100.81/101.25  Kept:         4049
% 100.81/101.25  Inuse:        188
% 100.81/101.25  Deleted:      23
% 100.81/101.25  Deletedinuse: 14
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    14126
% 100.81/101.25  Kept:         6081
% 100.81/101.25  Inuse:        239
% 100.81/101.25  Deleted:      27
% 100.81/101.25  Deletedinuse: 15
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    18824
% 100.81/101.25  Kept:         8090
% 100.81/101.25  Inuse:        291
% 100.81/101.25  Deleted:      84
% 100.81/101.25  Deletedinuse: 71
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    25577
% 100.81/101.25  Kept:         11089
% 100.81/101.25  Inuse:        376
% 100.81/101.25  Deleted:      95
% 100.81/101.25  Deletedinuse: 80
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    31655
% 100.81/101.25  Kept:         13218
% 100.81/101.25  Inuse:        386
% 100.81/101.25  Deleted:      101
% 100.81/101.25  Deletedinuse: 86
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    37200
% 100.81/101.25  Kept:         15259
% 100.81/101.25  Inuse:        439
% 100.81/101.25  Deleted:      101
% 100.81/101.25  Deletedinuse: 86
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    43850
% 100.81/101.25  Kept:         17778
% 100.81/101.25  Inuse:        496
% 100.81/101.25  Deleted:      103
% 100.81/101.25  Deletedinuse: 88
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    50095
% 100.81/101.25  Kept:         19838
% 100.81/101.25  Inuse:        524
% 100.81/101.25  Deleted:      104
% 100.81/101.25  Deletedinuse: 88
% 100.81/101.25  
% 100.81/101.25  Resimplifying clauses:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    56833
% 100.81/101.25  Kept:         21842
% 100.81/101.25  Inuse:        574
% 100.81/101.25  Deleted:      3326
% 100.81/101.25  Deletedinuse: 88
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    63343
% 100.81/101.25  Kept:         23843
% 100.81/101.25  Inuse:        621
% 100.81/101.25  Deleted:      3326
% 100.81/101.25  Deletedinuse: 88
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    72108
% 100.81/101.25  Kept:         25881
% 100.81/101.25  Inuse:        666
% 100.81/101.25  Deleted:      3326
% 100.81/101.25  Deletedinuse: 88
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    83649
% 100.81/101.25  Kept:         29543
% 100.81/101.25  Inuse:        694
% 100.81/101.25  Deleted:      3336
% 100.81/101.25  Deletedinuse: 92
% 100.81/101.25  
% 100.81/101.25  Resimplifying inuse:
% 100.81/101.25  Done
% 100.81/101.25  
% 100.81/101.25  
% 100.81/101.25  Intermediate Status:
% 100.81/101.25  Generated:    88308
% 100.81/101.25  Kept:         31623
% 100.81/101.25  Inuse:        699
% 100.81/101.25  Deleted:      3336
% 100.81/101.25  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    92966
% 286.98/287.44  Kept:         34298
% 286.98/287.44  Inuse:        704
% 286.98/287.44  Deleted:      3336
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    97616
% 286.98/287.44  Kept:         36981
% 286.98/287.44  Inuse:        709
% 286.98/287.44  Deleted:      3336
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    102349
% 286.98/287.44  Kept:         39025
% 286.98/287.44  Inuse:        715
% 286.98/287.44  Deleted:      3336
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying clauses:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    107213
% 286.98/287.44  Kept:         41111
% 286.98/287.44  Inuse:        721
% 286.98/287.44  Deleted:      3913
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    111732
% 286.98/287.44  Kept:         43298
% 286.98/287.44  Inuse:        724
% 286.98/287.44  Deleted:      3913
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    116684
% 286.98/287.44  Kept:         45692
% 286.98/287.44  Inuse:        729
% 286.98/287.44  Deleted:      3913
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    124212
% 286.98/287.44  Kept:         47732
% 286.98/287.44  Inuse:        743
% 286.98/287.44  Deleted:      3913
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    144020
% 286.98/287.44  Kept:         49804
% 286.98/287.44  Inuse:        753
% 286.98/287.44  Deleted:      3913
% 286.98/287.44  Deletedinuse: 92
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    190943
% 286.98/287.44  Kept:         52014
% 286.98/287.44  Inuse:        779
% 286.98/287.44  Deleted:      3954
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    200286
% 286.98/287.44  Kept:         54043
% 286.98/287.44  Inuse:        791
% 286.98/287.44  Deleted:      3954
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    208982
% 286.98/287.44  Kept:         56123
% 286.98/287.44  Inuse:        799
% 286.98/287.44  Deleted:      3954
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    219097
% 286.98/287.44  Kept:         58729
% 286.98/287.44  Inuse:        809
% 286.98/287.44  Deleted:      3954
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    229142
% 286.98/287.44  Kept:         60983
% 286.98/287.44  Inuse:        819
% 286.98/287.44  Deleted:      3954
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying clauses:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    246192
% 286.98/287.44  Kept:         63805
% 286.98/287.44  Inuse:        829
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    255770
% 286.98/287.44  Kept:         65891
% 286.98/287.44  Inuse:        840
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    262519
% 286.98/287.44  Kept:         67947
% 286.98/287.44  Inuse:        846
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    272398
% 286.98/287.44  Kept:         69964
% 286.98/287.44  Inuse:        857
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    279539
% 286.98/287.44  Kept:         72100
% 286.98/287.44  Inuse:        863
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    294978
% 286.98/287.44  Kept:         74286
% 286.98/287.44  Inuse:        874
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    313011
% 286.98/287.44  Kept:         78150
% 286.98/287.44  Inuse:        889
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    323602
% 286.98/287.44  Kept:         81396
% 286.98/287.44  Inuse:        899
% 286.98/287.44  Deleted:      9492
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying clauses:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    348013
% 286.98/287.44  Kept:         83429
% 286.98/287.44  Inuse:        921
% 286.98/287.44  Deleted:      12061
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    359253
% 286.98/287.44  Kept:         86174
% 286.98/287.44  Inuse:        929
% 286.98/287.44  Deleted:      12061
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:
% 286.98/287.44  Generated:    372371
% 286.98/287.44  Kept:         89119
% 286.98/287.44  Inuse:        939
% 286.98/287.44  Deleted:      12061
% 286.98/287.44  Deletedinuse: 133
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  Resimplifying inuse:
% 286.98/287.44  Done
% 286.98/287.44  
% 286.98/287.44  
% 286.98/287.44  Intermediate Status:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------