TSTP Solution File: SET124-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET124-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 22:47:26 EDT 2022

% Result   : Timeout 300.02s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET124-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Sat Jul  9 19:54:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.41/1.08  *** allocated 10000 integers for termspace/termends
% 0.41/1.08  *** allocated 10000 integers for clauses
% 0.41/1.08  *** allocated 10000 integers for justifications
% 0.41/1.08  Bliksem 1.12
% 0.41/1.08  
% 0.41/1.08  
% 0.41/1.08  Automatic Strategy Selection
% 0.41/1.08  
% 0.41/1.08  Clauses:
% 0.41/1.08  [
% 0.41/1.08     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.41/1.08     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.41/1.08     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ subclass( X, 'universal_class' ) ],
% 0.41/1.08     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.41/1.08     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.41/1.08     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.41/1.08     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.41/1.08     ) ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.41/1.08     ) ) ],
% 0.41/1.08     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.41/1.08     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.41/1.08     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.41/1.08     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.41/1.08    X, Z ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.41/1.08    Y, T ) ],
% 0.41/1.08     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.41/1.08     ), 'cross_product'( Y, T ) ) ],
% 0.41/1.08     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.41/1.08     ), second( X ) ), X ) ],
% 0.41/1.08     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.41/1.08    'universal_class' ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.41/1.08    Y ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.41/1.08    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.41/1.08    , Y ), 'element_relation' ) ],
% 0.41/1.08     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.41/1.08     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.41/1.08     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.41/1.08    Z ) ) ],
% 0.41/1.08     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.41/1.08    member( X, Y ) ],
% 0.41/1.08     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.41/1.08    union( X, Y ) ) ],
% 0.41/1.08     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.41/1.08    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.41/1.08    'symmetric_difference'( X, Y ) ) ],
% 0.41/1.08     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.41/1.08     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.41/1.08    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.41/1.08     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.41/1.08    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.41/1.08     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.41/1.08    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.41/1.08    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.41/1.08    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.41/1.08    Y ), rotate( T ) ) ],
% 0.41/1.08     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.41/1.08    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.41/1.08    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.41/1.08    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.41/1.08    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.41/1.08    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.41/1.08    Z ), flip( T ) ) ],
% 0.41/1.08     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.41/1.08    inverse( X ) ) ],
% 0.41/1.08     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.41/1.08     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.41/1.08    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.41/1.08     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.41/1.08    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.41/1.08     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.41/1.08     ],
% 0.41/1.08     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.41/1.08     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.41/1.08    'universal_class' ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.41/1.08    successor( X ), Y ) ],
% 0.41/1.08     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.41/1.08    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.41/1.08    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.41/1.08     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.41/1.08     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.41/1.08    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.41/1.08     [ inductive( omega ) ],
% 0.41/1.08     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.41/1.08     [ member( omega, 'universal_class' ) ],
% 0.41/1.08     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.41/1.08    , 'sum_class'( X ) ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.41/1.08    'universal_class' ) ],
% 0.41/1.08     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.41/1.08    'power_class'( X ) ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.41/1.08    'universal_class' ) ],
% 0.41/1.08     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.41/1.08    'universal_class' ) ) ],
% 0.41/1.08     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.41/1.08    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.41/1.08     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.41/1.08    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.41/1.08    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.41/1.08     ) ],
% 0.41/1.08     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.41/1.08    , 'identity_relation' ) ],
% 0.41/1.08     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.41/1.08    'single_valued_class'( X ) ],
% 0.41/1.08     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.41/1.08    'universal_class' ) ) ],
% 0.41/1.08     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.41/1.08    'identity_relation' ) ],
% 0.41/1.08     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.41/1.08     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.41/1.08    , function( X ) ],
% 0.41/1.08     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.41/1.08    X, Y ), 'universal_class' ) ],
% 0.41/1.08     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.41/1.08     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.41/1.08     ) ],
% 0.41/1.08     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.41/1.08     [ function( choice ) ],
% 0.41/1.08     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.41/1.08    apply( choice, X ), X ) ],
% 0.41/1.08     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.41/1.08     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.41/1.08     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.41/1.08    ,
% 0.41/1.08     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.41/1.08     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.41/1.08    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.41/1.08    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.41/1.08     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.41/1.08    'identity_relation' ) ],
% 0.41/1.08     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.41/1.08    , diagonalise( X ) ) ],
% 0.41/1.08     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.41/1.08    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.41/1.08     [ ~( operation( X ) ), function( X ) ],
% 0.41/1.08     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.41/1.08     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.41/1.08     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.28/5.70    'domain_of'( X ) ) ) ],
% 5.28/5.70     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.28/5.70     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.28/5.70    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.28/5.70    X ) ],
% 5.28/5.70     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.28/5.70     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.28/5.70    'domain_of'( X ) ) ],
% 5.28/5.70     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.28/5.70    'domain_of'( Z ) ) ) ],
% 5.28/5.70     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.28/5.70    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.28/5.70     ), compatible( X, Y, Z ) ],
% 5.28/5.70     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.28/5.70     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.28/5.70     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.28/5.70     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.28/5.70    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.28/5.70    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.28/5.70     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.28/5.70    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.28/5.70    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.28/5.70    , Y ) ],
% 5.28/5.70     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.28/5.70    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.28/5.70     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.28/5.70    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.28/5.70    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.28/5.70     [ =( union( singleton( X ), Y ), 'set_builder'( X, Y ) ) ],
% 5.28/5.70     [ member( x, 'universal_class' ) ],
% 5.28/5.70     [ ~( member( x, 'set_builder'( x, z ) ) ) ]
% 5.28/5.70  ] .
% 5.28/5.70  
% 5.28/5.70  
% 5.28/5.70  percentage equality = 0.217391, percentage horn = 0.914894
% 5.28/5.70  This is a problem with some equality
% 5.28/5.70  
% 5.28/5.70  
% 5.28/5.70  
% 5.28/5.70  Options Used:
% 5.28/5.70  
% 5.28/5.70  useres =            1
% 5.28/5.70  useparamod =        1
% 5.28/5.70  useeqrefl =         1
% 5.28/5.70  useeqfact =         1
% 5.28/5.70  usefactor =         1
% 5.28/5.70  usesimpsplitting =  0
% 5.28/5.70  usesimpdemod =      5
% 5.28/5.70  usesimpres =        3
% 5.28/5.70  
% 5.28/5.70  resimpinuse      =  1000
% 5.28/5.70  resimpclauses =     20000
% 5.28/5.70  substype =          eqrewr
% 5.28/5.70  backwardsubs =      1
% 5.28/5.70  selectoldest =      5
% 5.28/5.70  
% 5.28/5.70  litorderings [0] =  split
% 5.28/5.70  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.28/5.70  
% 5.28/5.70  termordering =      kbo
% 5.28/5.70  
% 5.28/5.70  litapriori =        0
% 5.28/5.70  termapriori =       1
% 5.28/5.70  litaposteriori =    0
% 5.28/5.70  termaposteriori =   0
% 5.28/5.70  demodaposteriori =  0
% 5.28/5.70  ordereqreflfact =   0
% 5.28/5.70  
% 5.28/5.70  litselect =         negord
% 5.28/5.70  
% 5.28/5.70  maxweight =         15
% 5.28/5.70  maxdepth =          30000
% 5.28/5.70  maxlength =         115
% 5.28/5.70  maxnrvars =         195
% 5.28/5.70  excuselevel =       1
% 5.28/5.70  increasemaxweight = 1
% 5.28/5.70  
% 5.28/5.70  maxselected =       10000000
% 5.28/5.70  maxnrclauses =      10000000
% 5.28/5.70  
% 5.28/5.70  showgenerated =    0
% 5.28/5.70  showkept =         0
% 5.28/5.70  showselected =     0
% 5.28/5.70  showdeleted =      0
% 5.28/5.70  showresimp =       1
% 5.28/5.70  showstatus =       2000
% 5.28/5.70  
% 5.28/5.70  prologoutput =     1
% 5.28/5.70  nrgoals =          5000000
% 5.28/5.70  totalproof =       1
% 5.28/5.70  
% 5.28/5.70  Symbols occurring in the translation:
% 5.28/5.70  
% 5.28/5.70  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.28/5.70  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.28/5.70  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 5.28/5.70  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.28/5.70  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.28/5.70  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.28/5.70  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.28/5.70  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.28/5.70  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.28/5.70  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.28/5.70  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.28/5.70  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.28/5.70  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.28/5.70  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.28/5.70  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.28/5.70  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.28/5.70  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.28/5.70  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.28/5.70  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.28/5.70  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.28/5.70  restrict  [60, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 5.28/5.70  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 96.98/97.39  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 96.98/97.39  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 96.98/97.39  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 96.98/97.39  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 96.98/97.39  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 96.98/97.39  domain  [68, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 96.98/97.39  range  [69, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 96.98/97.39  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 96.98/97.39  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 96.98/97.39  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 96.98/97.39  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 96.98/97.39  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 96.98/97.39  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 96.98/97.39  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 96.98/97.39  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 96.98/97.39  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 96.98/97.39  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 96.98/97.39  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 96.98/97.39  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 96.98/97.39  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 96.98/97.39  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 96.98/97.39  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 96.98/97.39  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 96.98/97.39  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 96.98/97.39  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 96.98/97.39  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 96.98/97.39  compatible  [94, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 96.98/97.39  homomorphism  [95, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 96.98/97.39  'not_homomorphism1'  [96, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 96.98/97.39  'not_homomorphism2'  [97, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 96.98/97.39  'set_builder'  [98, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 96.98/97.39  x  [99, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 96.98/97.39  z  [100, 0]      (w:1, o:30, a:1, s:1, b:0).
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Starting Search:
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    4590
% 96.98/97.39  Kept:         2007
% 96.98/97.39  Inuse:        102
% 96.98/97.39  Deleted:      4
% 96.98/97.39  Deletedinuse: 2
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    9110
% 96.98/97.39  Kept:         4013
% 96.98/97.39  Inuse:        180
% 96.98/97.39  Deleted:      14
% 96.98/97.39  Deletedinuse: 5
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    13078
% 96.98/97.39  Kept:         6037
% 96.98/97.39  Inuse:        235
% 96.98/97.39  Deleted:      17
% 96.98/97.39  Deletedinuse: 5
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    18035
% 96.98/97.39  Kept:         8174
% 96.98/97.39  Inuse:        287
% 96.98/97.39  Deleted:      76
% 96.98/97.39  Deletedinuse: 62
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    24794
% 96.98/97.39  Kept:         11158
% 96.98/97.39  Inuse:        370
% 96.98/97.39  Deleted:      87
% 96.98/97.39  Deletedinuse: 71
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    30977
% 96.98/97.39  Kept:         13322
% 96.98/97.39  Inuse:        380
% 96.98/97.39  Deleted:      93
% 96.98/97.39  Deletedinuse: 77
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    36348
% 96.98/97.39  Kept:         15329
% 96.98/97.39  Inuse:        433
% 96.98/97.39  Deleted:      93
% 96.98/97.39  Deletedinuse: 77
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  Resimplifying inuse:
% 96.98/97.39  Done
% 96.98/97.39  
% 96.98/97.39  
% 96.98/97.39  Intermediate Status:
% 96.98/97.39  Generated:    40950
% 96.98/97.39  Kept:         17335
% 96.98/97.39  Inuse:        491
% 97.02/97.39  Deleted:      95
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    47999
% 97.02/97.39  Kept:         19360
% 97.02/97.39  Inuse:        506
% 97.02/97.39  Deleted:      95
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying clauses:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    53530
% 97.02/97.39  Kept:         21373
% 97.02/97.39  Inuse:        549
% 97.02/97.39  Deleted:      3177
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    59600
% 97.02/97.39  Kept:         23383
% 97.02/97.39  Inuse:        599
% 97.02/97.39  Deleted:      3177
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    65252
% 97.02/97.39  Kept:         25402
% 97.02/97.39  Inuse:        643
% 97.02/97.39  Deleted:      3177
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    72164
% 97.02/97.39  Kept:         27430
% 97.02/97.39  Inuse:        686
% 97.02/97.39  Deleted:      3177
% 97.02/97.39  Deletedinuse: 79
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  Resimplifying inuse:
% 97.02/97.39  Done
% 97.02/97.39  
% 97.02/97.39  
% 97.02/97.39  Intermediate Status:
% 97.02/97.39  Generated:    85419
% 97.02/97.39  Kept:         30856
% 97.02/97.39  Inuse:        709
% 281.91/282.32  Deleted:      3187
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    90160
% 281.91/282.32  Kept:         33030
% 281.91/282.32  Inuse:        714
% 281.91/282.32  Deleted:      3187
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    95021
% 281.91/282.32  Kept:         35885
% 281.91/282.32  Inuse:        719
% 281.91/282.32  Deleted:      3187
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    99870
% 281.91/282.32  Kept:         38711
% 281.91/282.32  Inuse:        724
% 281.91/282.32  Deleted:      3187
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    104624
% 281.91/282.32  Kept:         40814
% 281.91/282.32  Inuse:        729
% 281.91/282.32  Deleted:      3187
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying clauses:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    109491
% 281.91/282.32  Kept:         42952
% 281.91/282.32  Inuse:        734
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    114569
% 281.91/282.32  Kept:         45424
% 281.91/282.32  Inuse:        739
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    119700
% 281.91/282.32  Kept:         47914
% 281.91/282.32  Inuse:        744
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    127228
% 281.91/282.32  Kept:         49914
% 281.91/282.32  Inuse:        757
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    147531
% 281.91/282.32  Kept:         51933
% 281.91/282.32  Inuse:        766
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    188755
% 281.91/282.32  Kept:         53939
% 281.91/282.32  Inuse:        785
% 281.91/282.32  Deleted:      3742
% 281.91/282.32  Deletedinuse: 83
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    203637
% 281.91/282.32  Kept:         55990
% 281.91/282.32  Inuse:        803
% 281.91/282.32  Deleted:      3780
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    212961
% 281.91/282.32  Kept:         58605
% 281.91/282.32  Inuse:        809
% 281.91/282.32  Deleted:      3780
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    222857
% 281.91/282.32  Kept:         61321
% 281.91/282.32  Inuse:        819
% 281.91/282.32  Deleted:      3780
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying clauses:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    233288
% 281.91/282.32  Kept:         63797
% 281.91/282.32  Inuse:        829
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    243796
% 281.91/282.32  Kept:         66212
% 281.91/282.32  Inuse:        839
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    256025
% 281.91/282.32  Kept:         68290
% 281.91/282.32  Inuse:        846
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    265613
% 281.91/282.32  Kept:         71328
% 281.91/282.32  Inuse:        854
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    276272
% 281.91/282.32  Kept:         74628
% 281.91/282.32  Inuse:        864
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    287787
% 281.91/282.32  Kept:         77736
% 281.91/282.32  Inuse:        874
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    299590
% 281.91/282.32  Kept:         80638
% 281.91/282.32  Inuse:        884
% 281.91/282.32  Deleted:      8932
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying clauses:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    311456
% 281.91/282.32  Kept:         83840
% 281.91/282.32  Inuse:        894
% 281.91/282.32  Deleted:      9878
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    323917
% 281.91/282.32  Kept:         87216
% 281.91/282.32  Inuse:        904
% 281.91/282.32  Deleted:      9878
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    336503
% 281.91/282.32  Kept:         90308
% 281.91/282.32  Inuse:        914
% 281.91/282.32  Deleted:      9878
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated:    349099
% 281.91/282.32  Kept:         93702
% 281.91/282.32  Inuse:        924
% 281.91/282.32  Deleted:      9878
% 281.91/282.32  Deletedinuse: 121
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  Resimplifying inuse:
% 281.91/282.32  Done
% 281.91/282.32  
% 281.91/282.32  
% 281.91/282.32  Intermediate Status:
% 281.91/282.32  Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------