TSTP Solution File: SET070-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET070-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:46:31 EDT 2022

% Result   : Timeout 300.01s 300.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET070-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Sun Jul 10 08:26:36 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.77/1.15  *** allocated 10000 integers for termspace/termends
% 0.77/1.15  *** allocated 10000 integers for clauses
% 0.77/1.15  *** allocated 10000 integers for justifications
% 0.77/1.15  Bliksem 1.12
% 0.77/1.15  
% 0.77/1.15  
% 0.77/1.15  Automatic Strategy Selection
% 0.77/1.15  
% 0.77/1.15  Clauses:
% 0.77/1.15  [
% 0.77/1.15     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.77/1.15     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.77/1.15     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ subclass( X, 'universal_class' ) ],
% 0.77/1.15     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.77/1.15     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.77/1.15     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.77/1.15     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.77/1.15     ) ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.77/1.15     ) ) ],
% 0.77/1.15     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.77/1.15     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.77/1.15     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.77/1.15     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.77/1.15    X, Z ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.77/1.15    Y, T ) ],
% 0.77/1.15     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.77/1.15     ), 'cross_product'( Y, T ) ) ],
% 0.77/1.15     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.77/1.15     ), second( X ) ), X ) ],
% 0.77/1.15     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.77/1.15    'universal_class' ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.77/1.15    Y ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.77/1.15    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.77/1.15    , Y ), 'element_relation' ) ],
% 0.77/1.15     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.77/1.15     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.77/1.15     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.77/1.15    Z ) ) ],
% 0.77/1.15     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.77/1.15    member( X, Y ) ],
% 0.77/1.15     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.77/1.15    union( X, Y ) ) ],
% 0.77/1.15     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.77/1.15    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.77/1.15    'symmetric_difference'( X, Y ) ) ],
% 0.77/1.15     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.77/1.15     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.77/1.15    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.77/1.15     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.77/1.15    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.77/1.15     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.77/1.15    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.77/1.15    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.77/1.15    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.77/1.15    Y ), rotate( T ) ) ],
% 0.77/1.15     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.77/1.15    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.77/1.15    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.77/1.15    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.77/1.15    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.77/1.15    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.77/1.15    Z ), flip( T ) ) ],
% 0.77/1.15     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.77/1.15    inverse( X ) ) ],
% 0.77/1.15     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.77/1.15     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.77/1.15    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.77/1.15     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.77/1.15    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.77/1.15     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.77/1.15     ],
% 0.77/1.15     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.77/1.15     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.77/1.15    'universal_class' ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.77/1.15    successor( X ), Y ) ],
% 0.77/1.15     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.77/1.15    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.77/1.15    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.77/1.15     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.77/1.15     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.77/1.15    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.77/1.15     [ inductive( omega ) ],
% 0.77/1.15     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.77/1.15     [ member( omega, 'universal_class' ) ],
% 0.77/1.15     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.77/1.15    , 'sum_class'( X ) ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.77/1.15    'universal_class' ) ],
% 0.77/1.15     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.77/1.15    'power_class'( X ) ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.77/1.15    'universal_class' ) ],
% 0.77/1.15     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.77/1.15    'universal_class' ) ) ],
% 0.77/1.15     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.77/1.15    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.77/1.15     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.77/1.15    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.77/1.15    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.77/1.15     ) ],
% 0.77/1.15     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.77/1.15    , 'identity_relation' ) ],
% 0.77/1.15     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.77/1.15    'single_valued_class'( X ) ],
% 0.77/1.15     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.77/1.15    'universal_class' ) ) ],
% 0.77/1.15     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.77/1.15    'identity_relation' ) ],
% 0.77/1.15     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.77/1.15     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.77/1.15    , function( X ) ],
% 0.77/1.15     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.77/1.15    X, Y ), 'universal_class' ) ],
% 0.77/1.15     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.77/1.15     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.77/1.15     ) ],
% 0.77/1.15     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.77/1.15     [ function( choice ) ],
% 0.77/1.15     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.77/1.15    apply( choice, X ), X ) ],
% 0.77/1.15     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.77/1.15     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.77/1.15     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.77/1.15    ,
% 0.77/1.15     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.77/1.15     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.77/1.15    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.77/1.15    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.77/1.15     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.77/1.15    'identity_relation' ) ],
% 0.77/1.15     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.77/1.15    , diagonalise( X ) ) ],
% 0.77/1.15     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.77/1.15    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.77/1.15     [ ~( operation( X ) ), function( X ) ],
% 0.77/1.15     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.77/1.15     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.77/1.15     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.86/5.24    'domain_of'( X ) ) ) ],
% 4.86/5.24     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.86/5.24     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.86/5.24    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.86/5.24    X ) ],
% 4.86/5.24     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.86/5.24     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.86/5.24    'domain_of'( X ) ) ],
% 4.86/5.24     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.86/5.24    'domain_of'( Z ) ) ) ],
% 4.86/5.24     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.86/5.24    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.86/5.24     ), compatible( X, Y, Z ) ],
% 4.86/5.24     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.86/5.24     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.86/5.24     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.86/5.24     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.86/5.24    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.86/5.24    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.86/5.24     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.86/5.24    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.86/5.24    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.86/5.24    , Y ) ],
% 4.86/5.24     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.86/5.24    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.86/5.24     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.86/5.24    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.86/5.24    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.86/5.24     [ ~( member( x, 'universal_class' ) ) ],
% 4.86/5.24     [ ~( =( 'unordered_pair'( x, y ), singleton( y ) ) ) ]
% 4.86/5.24  ] .
% 4.86/5.24  
% 4.86/5.24  
% 4.86/5.24  percentage equality = 0.218579, percentage horn = 0.913978
% 4.86/5.24  This is a problem with some equality
% 4.86/5.24  
% 4.86/5.24  
% 4.86/5.24  
% 4.86/5.24  Options Used:
% 4.86/5.24  
% 4.86/5.24  useres =            1
% 4.86/5.24  useparamod =        1
% 4.86/5.24  useeqrefl =         1
% 4.86/5.24  useeqfact =         1
% 4.86/5.24  usefactor =         1
% 4.86/5.24  usesimpsplitting =  0
% 4.86/5.24  usesimpdemod =      5
% 4.86/5.24  usesimpres =        3
% 4.86/5.24  
% 4.86/5.24  resimpinuse      =  1000
% 4.86/5.24  resimpclauses =     20000
% 4.86/5.24  substype =          eqrewr
% 4.86/5.24  backwardsubs =      1
% 4.86/5.24  selectoldest =      5
% 4.86/5.24  
% 4.86/5.24  litorderings [0] =  split
% 4.86/5.24  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.86/5.24  
% 4.86/5.24  termordering =      kbo
% 4.86/5.24  
% 4.86/5.24  litapriori =        0
% 4.86/5.24  termapriori =       1
% 4.86/5.24  litaposteriori =    0
% 4.86/5.24  termaposteriori =   0
% 4.86/5.24  demodaposteriori =  0
% 4.86/5.24  ordereqreflfact =   0
% 4.86/5.24  
% 4.86/5.24  litselect =         negord
% 4.86/5.24  
% 4.86/5.24  maxweight =         15
% 4.86/5.24  maxdepth =          30000
% 4.86/5.24  maxlength =         115
% 4.86/5.24  maxnrvars =         195
% 4.86/5.24  excuselevel =       1
% 4.86/5.24  increasemaxweight = 1
% 4.86/5.24  
% 4.86/5.24  maxselected =       10000000
% 4.86/5.24  maxnrclauses =      10000000
% 4.86/5.24  
% 4.86/5.24  showgenerated =    0
% 4.86/5.24  showkept =         0
% 4.86/5.24  showselected =     0
% 4.86/5.24  showdeleted =      0
% 4.86/5.24  showresimp =       1
% 4.86/5.24  showstatus =       2000
% 4.86/5.24  
% 4.86/5.24  prologoutput =     1
% 4.86/5.24  nrgoals =          5000000
% 4.86/5.24  totalproof =       1
% 4.86/5.24  
% 4.86/5.24  Symbols occurring in the translation:
% 4.86/5.24  
% 4.86/5.24  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.86/5.24  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 4.86/5.24  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 4.86/5.24  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.86/5.24  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.86/5.24  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.86/5.24  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.86/5.24  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.86/5.24  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.86/5.24  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.86/5.24  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.86/5.24  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.86/5.24  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.86/5.24  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.86/5.24  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.86/5.24  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.86/5.24  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.86/5.24  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.86/5.24  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.86/5.24  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.86/5.24  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 4.86/5.24  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 4.86/5.24  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 95.51/95.87  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 95.51/95.87  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 95.51/95.87  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 95.51/95.87  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 95.51/95.87  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 95.51/95.87  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 95.51/95.87  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 95.51/95.87  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 95.51/95.87  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 95.51/95.87  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 95.51/95.87  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 95.51/95.87  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 95.51/95.87  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 95.51/95.87  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 95.51/95.87  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 95.51/95.87  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 95.51/95.87  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 95.51/95.87  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 95.51/95.87  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 95.51/95.87  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 95.51/95.87  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 95.51/95.87  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 95.51/95.87  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 95.51/95.87  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 95.51/95.87  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 95.51/95.87  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 95.51/95.87  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 95.51/95.87  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 95.51/95.87  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 95.51/95.87  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 95.51/95.87  y  [99, 0]      (w:1, o:30, a:1, s:1, b:0).
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Starting Search:
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    4804
% 95.51/95.87  Kept:         2010
% 95.51/95.87  Inuse:        119
% 95.51/95.87  Deleted:      7
% 95.51/95.87  Deletedinuse: 3
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    10152
% 95.51/95.87  Kept:         4274
% 95.51/95.87  Inuse:        194
% 95.51/95.87  Deleted:      12
% 95.51/95.87  Deletedinuse: 5
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    14131
% 95.51/95.87  Kept:         6317
% 95.51/95.87  Inuse:        265
% 95.51/95.87  Deleted:      20
% 95.51/95.87  Deletedinuse: 9
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    19537
% 95.51/95.87  Kept:         8329
% 95.51/95.87  Inuse:        317
% 95.51/95.87  Deleted:      68
% 95.51/95.87  Deletedinuse: 55
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    24723
% 95.51/95.87  Kept:         10787
% 95.51/95.87  Inuse:        367
% 95.51/95.87  Deleted:      76
% 95.51/95.87  Deletedinuse: 62
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    31084
% 95.51/95.87  Kept:         12903
% 95.51/95.87  Inuse:        377
% 95.51/95.87  Deleted:      82
% 95.51/95.87  Deletedinuse: 68
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    36567
% 95.51/95.87  Kept:         14910
% 95.51/95.87  Inuse:        438
% 95.51/95.87  Deleted:      90
% 95.51/95.87  Deletedinuse: 73
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    42210
% 95.51/95.87  Kept:         16953
% 95.51/95.87  Inuse:        484
% 95.51/95.87  Deleted:      92
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    48348
% 95.51/95.87  Kept:         18978
% 95.51/95.87  Inuse:        513
% 95.51/95.87  Deleted:      92
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying clauses:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    54103
% 95.51/95.87  Kept:         20991
% 95.51/95.87  Inuse:        555
% 95.51/95.87  Deleted:      3231
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    59492
% 95.51/95.87  Kept:         23003
% 95.51/95.87  Inuse:        604
% 95.51/95.87  Deleted:      3231
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    65998
% 95.51/95.87  Kept:         25049
% 95.51/95.87  Inuse:        648
% 95.51/95.87  Deleted:      3231
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    73046
% 95.51/95.87  Kept:         28489
% 95.51/95.87  Inuse:        674
% 95.51/95.87  Deleted:      3231
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    77345
% 95.51/95.87  Kept:         31009
% 95.51/95.87  Inuse:        679
% 95.51/95.87  Deleted:      3231
% 95.51/95.87  Deletedinuse: 75
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  Resimplifying inuse:
% 95.51/95.87  Done
% 95.51/95.87  
% 95.51/95.87  
% 95.51/95.87  Intermediate Status:
% 95.51/95.87  Generated:    81942
% 234.42/234.79  Kept:         33010
% 234.42/234.79  Inuse:        686
% 234.42/234.79  Deleted:      3231
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    86601
% 234.42/234.79  Kept:         35011
% 234.42/234.79  Inuse:        693
% 234.42/234.79  Deleted:      3231
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    90839
% 234.42/234.79  Kept:         37062
% 234.42/234.79  Inuse:        696
% 234.42/234.79  Deleted:      3231
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    95116
% 234.42/234.79  Kept:         39147
% 234.42/234.79  Inuse:        699
% 234.42/234.79  Deleted:      3231
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying clauses:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    110079
% 234.42/234.79  Kept:         42093
% 234.42/234.79  Inuse:        714
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    157898
% 234.42/234.79  Kept:         44910
% 234.42/234.79  Inuse:        739
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    168197
% 234.42/234.79  Kept:         47821
% 234.42/234.79  Inuse:        749
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    179128
% 234.42/234.79  Kept:         50394
% 234.42/234.79  Inuse:        759
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    189532
% 234.42/234.79  Kept:         52578
% 234.42/234.79  Inuse:        769
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    206625
% 234.42/234.79  Kept:         55354
% 234.42/234.79  Inuse:        779
% 234.42/234.79  Deleted:      4084
% 234.42/234.79  Deletedinuse: 75
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    217933
% 234.42/234.79  Kept:         57817
% 234.42/234.79  Inuse:        789
% 234.42/234.79  Deleted:      4088
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    226794
% 234.42/234.79  Kept:         60158
% 234.42/234.79  Inuse:        797
% 234.42/234.79  Deleted:      4090
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying clauses:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    235940
% 234.42/234.79  Kept:         62295
% 234.42/234.79  Inuse:        803
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    246878
% 234.42/234.79  Kept:         64905
% 234.42/234.79  Inuse:        813
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    257459
% 234.42/234.79  Kept:         67533
% 234.42/234.79  Inuse:        823
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    268391
% 234.42/234.79  Kept:         70164
% 234.42/234.79  Inuse:        833
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    280085
% 234.42/234.79  Kept:         72901
% 234.42/234.79  Inuse:        843
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    291682
% 234.42/234.79  Kept:         75679
% 234.42/234.79  Inuse:        853
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    303753
% 234.42/234.79  Kept:         78357
% 234.42/234.79  Inuse:        863
% 234.42/234.79  Deleted:      5049
% 234.42/234.79  Deletedinuse: 79
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    313944
% 234.42/234.79  Kept:         80702
% 234.42/234.79  Inuse:        873
% 234.42/234.79  Deleted:      5076
% 234.42/234.79  Deletedinuse: 106
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying clauses:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    324706
% 234.42/234.79  Kept:         83620
% 234.42/234.79  Inuse:        883
% 234.42/234.79  Deleted:      10882
% 234.42/234.79  Deletedinuse: 115
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    335858
% 234.42/234.79  Kept:         86400
% 234.42/234.79  Inuse:        893
% 234.42/234.79  Deleted:      10882
% 234.42/234.79  Deletedinuse: 115
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    347263
% 234.42/234.79  Kept:         89066
% 234.42/234.79  Inuse:        903
% 234.42/234.79  Deleted:      10882
% 234.42/234.79  Deletedinuse: 115
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    358678
% 234.42/234.79  Kept:         92054
% 234.42/234.79  Inuse:        913
% 234.42/234.79  Deleted:      10882
% 234.42/234.79  Deletedinuse: 115
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  Resimplifying inuse:
% 234.42/234.79  Done
% 234.42/234.79  
% 234.42/234.79  
% 234.42/234.79  Intermediate Status:
% 234.42/234.79  Generated:    372014
% 234.42/234.79  Kept:         94195
% 234.42/234.79  Inuse:        927
% 234.42/234.79  Deleted:      10882
% 234.42/234.79  Deletedinuse: 11Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------