TSTP Solution File: SET099-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET099-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:47:04 EDT 2022

% Result   : Timeout 300.04s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET099-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n021.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Sat Jul  9 21:25:21 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.75/1.09  *** allocated 10000 integers for termspace/termends
% 0.75/1.09  *** allocated 10000 integers for clauses
% 0.75/1.09  *** allocated 10000 integers for justifications
% 0.75/1.09  Bliksem 1.12
% 0.75/1.09  
% 0.75/1.09  
% 0.75/1.09  Automatic Strategy Selection
% 0.75/1.09  
% 0.75/1.09  Clauses:
% 0.75/1.09  [
% 0.75/1.09     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.75/1.09     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.75/1.09     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ subclass( X, 'universal_class' ) ],
% 0.75/1.09     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.75/1.09     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.75/1.09     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.75/1.09     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.75/1.09     ) ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.75/1.09     ) ) ],
% 0.75/1.09     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.75/1.09     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.75/1.09     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.75/1.09     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.75/1.09    X, Z ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.75/1.09    Y, T ) ],
% 0.75/1.09     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.75/1.09     ), 'cross_product'( Y, T ) ) ],
% 0.75/1.09     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.75/1.09     ), second( X ) ), X ) ],
% 0.75/1.09     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.75/1.09    'universal_class' ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.75/1.09    Y ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.75/1.09    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.75/1.09    , Y ), 'element_relation' ) ],
% 0.75/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.75/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.75/1.09     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.75/1.09    Z ) ) ],
% 0.75/1.09     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.75/1.09    member( X, Y ) ],
% 0.75/1.09     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.75/1.09    union( X, Y ) ) ],
% 0.75/1.09     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.75/1.09    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.75/1.09    'symmetric_difference'( X, Y ) ) ],
% 0.75/1.09     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.75/1.09     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.75/1.09    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.75/1.09     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.75/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.75/1.09     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.75/1.09    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.75/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.75/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.75/1.09    Y ), rotate( T ) ) ],
% 0.75/1.09     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.75/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.75/1.09    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.75/1.09    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.75/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.75/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.75/1.09    Z ), flip( T ) ) ],
% 0.75/1.09     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.75/1.09    inverse( X ) ) ],
% 0.75/1.09     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.75/1.09     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.75/1.09    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.75/1.09     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.75/1.09    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.75/1.09     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.75/1.09     ],
% 0.75/1.09     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.75/1.09     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.75/1.09    'universal_class' ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.75/1.09    successor( X ), Y ) ],
% 0.75/1.09     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.75/1.09    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.75/1.09    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.75/1.09     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.75/1.09     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.75/1.09    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.75/1.09     [ inductive( omega ) ],
% 0.75/1.09     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.75/1.09     [ member( omega, 'universal_class' ) ],
% 0.75/1.09     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.75/1.09    , 'sum_class'( X ) ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.75/1.09    'universal_class' ) ],
% 0.75/1.09     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.75/1.09    'power_class'( X ) ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.75/1.09    'universal_class' ) ],
% 0.75/1.09     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.75/1.09    'universal_class' ) ) ],
% 0.75/1.09     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.75/1.09    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.75/1.09     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.75/1.09    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.75/1.09    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.75/1.09     ) ],
% 0.75/1.09     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.75/1.09    , 'identity_relation' ) ],
% 0.75/1.09     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.75/1.09    'single_valued_class'( X ) ],
% 0.75/1.09     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.75/1.09    'universal_class' ) ) ],
% 0.75/1.09     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.75/1.09    'identity_relation' ) ],
% 0.75/1.09     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.75/1.09     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.75/1.09    , function( X ) ],
% 0.75/1.09     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.75/1.09    X, Y ), 'universal_class' ) ],
% 0.75/1.09     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.75/1.09     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.75/1.09     ) ],
% 0.75/1.09     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.75/1.09     [ function( choice ) ],
% 0.75/1.09     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.75/1.09    apply( choice, X ), X ) ],
% 0.75/1.09     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.75/1.09     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.75/1.09     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.75/1.09    ,
% 0.75/1.09     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.75/1.09     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.75/1.09    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.75/1.09    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.75/1.09     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.75/1.09    'identity_relation' ) ],
% 0.75/1.09     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.75/1.09    , diagonalise( X ) ) ],
% 0.75/1.09     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.75/1.09    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.75/1.09     [ ~( operation( X ) ), function( X ) ],
% 0.75/1.09     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.75/1.09     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.75/1.09     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.46/4.82    'domain_of'( X ) ) ) ],
% 4.46/4.82     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.46/4.82     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.46/4.82    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.46/4.82    X ) ],
% 4.46/4.82     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.46/4.82     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.46/4.82    'domain_of'( X ) ) ],
% 4.46/4.82     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.46/4.82    'domain_of'( Z ) ) ) ],
% 4.46/4.82     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.46/4.82    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.46/4.82     ), compatible( X, Y, Z ) ],
% 4.46/4.82     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.46/4.82     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.46/4.82     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.46/4.82     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.46/4.82    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.46/4.82    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.46/4.82     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.46/4.82    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.46/4.82    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.46/4.82    , Y ) ],
% 4.46/4.82     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.46/4.82    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.46/4.82     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.46/4.82    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.46/4.82    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.46/4.82     [ =( 'not_subclass_element'( intersection( complement( singleton( 
% 4.46/4.82    'not_subclass_element'( x, 'null_class' ) ) ), x ), 'null_class' ), 
% 4.46/4.82    'not_subclass_element'( x, 'null_class' ) ) ],
% 4.46/4.82     [ ~( =( singleton( 'not_subclass_element'( x, 'null_class' ) ), x ) ) ]
% 4.46/4.82    ,
% 4.46/4.82     [ ~( =( x, 'null_class' ) ) ]
% 4.46/4.82  ] .
% 4.46/4.82  
% 4.46/4.82  
% 4.46/4.82  percentage equality = 0.228261, percentage horn = 0.914894
% 4.46/4.82  This is a problem with some equality
% 4.46/4.82  
% 4.46/4.82  
% 4.46/4.82  
% 4.46/4.82  Options Used:
% 4.46/4.82  
% 4.46/4.82  useres =            1
% 4.46/4.82  useparamod =        1
% 4.46/4.82  useeqrefl =         1
% 4.46/4.82  useeqfact =         1
% 4.46/4.82  usefactor =         1
% 4.46/4.82  usesimpsplitting =  0
% 4.46/4.82  usesimpdemod =      5
% 4.46/4.82  usesimpres =        3
% 4.46/4.82  
% 4.46/4.82  resimpinuse      =  1000
% 4.46/4.82  resimpclauses =     20000
% 4.46/4.82  substype =          eqrewr
% 4.46/4.82  backwardsubs =      1
% 4.46/4.82  selectoldest =      5
% 4.46/4.82  
% 4.46/4.82  litorderings [0] =  split
% 4.46/4.82  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.46/4.82  
% 4.46/4.82  termordering =      kbo
% 4.46/4.82  
% 4.46/4.82  litapriori =        0
% 4.46/4.82  termapriori =       1
% 4.46/4.82  litaposteriori =    0
% 4.46/4.82  termaposteriori =   0
% 4.46/4.82  demodaposteriori =  0
% 4.46/4.82  ordereqreflfact =   0
% 4.46/4.82  
% 4.46/4.82  litselect =         negord
% 4.46/4.82  
% 4.46/4.82  maxweight =         15
% 4.46/4.82  maxdepth =          30000
% 4.46/4.82  maxlength =         115
% 4.46/4.82  maxnrvars =         195
% 4.46/4.82  excuselevel =       1
% 4.46/4.82  increasemaxweight = 1
% 4.46/4.82  
% 4.46/4.82  maxselected =       10000000
% 4.46/4.82  maxnrclauses =      10000000
% 4.46/4.82  
% 4.46/4.82  showgenerated =    0
% 4.46/4.82  showkept =         0
% 4.46/4.82  showselected =     0
% 4.46/4.82  showdeleted =      0
% 4.46/4.82  showresimp =       1
% 4.46/4.82  showstatus =       2000
% 4.46/4.82  
% 4.46/4.82  prologoutput =     1
% 4.46/4.82  nrgoals =          5000000
% 4.46/4.82  totalproof =       1
% 4.46/4.82  
% 4.46/4.82  Symbols occurring in the translation:
% 4.46/4.82  
% 4.46/4.82  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.46/4.82  .  [1, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 4.46/4.82  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 4.46/4.82  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.46/4.82  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.46/4.82  subclass  [41, 2]      (w:1, o:80, a:1, s:1, b:0), 
% 4.46/4.82  member  [43, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.46/4.82  'not_subclass_element'  [44, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.46/4.82  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.46/4.82  'unordered_pair'  [46, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.46/4.82  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 4.46/4.82  'ordered_pair'  [48, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.46/4.82  'cross_product'  [50, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.46/4.82  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.46/4.82  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.46/4.82  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.46/4.82  intersection  [55, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 4.46/4.82  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.46/4.82  union  [57, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.46/4.82  'symmetric_difference'  [58, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 90.64/91.06  restrict  [60, 3]      (w:1, o:92, a:1, s:1, b:0), 
% 90.64/91.06  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 90.64/91.06  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 90.64/91.06  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 90.64/91.06  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 90.64/91.06  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 90.64/91.06  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 90.64/91.06  domain  [68, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 90.64/91.06  range  [69, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 90.64/91.06  image  [70, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 90.64/91.06  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 90.64/91.06  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 90.64/91.06  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 90.64/91.06  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 90.64/91.06  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 90.64/91.06  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 90.64/91.06  compose  [78, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 90.64/91.06  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 90.64/91.06  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 90.64/91.06  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 90.64/91.06  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 90.64/91.06  apply  [84, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 90.64/91.06  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 90.64/91.06  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 90.64/91.06  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 90.64/91.06  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 90.64/91.06  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 90.64/91.06  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 90.64/91.06  compatible  [94, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 90.64/91.06  homomorphism  [95, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 90.64/91.06  'not_homomorphism1'  [96, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 90.64/91.06  'not_homomorphism2'  [97, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 90.64/91.06  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0).
% 90.64/91.06  
% 90.64/91.06  
% 90.64/91.06  Starting Search:
% 90.64/91.06  
% 90.64/91.06  Resimplifying inuse:
% 90.64/91.06  Done
% 90.64/91.06  
% 90.64/91.06  
% 90.64/91.06  Intermediate Status:
% 90.64/91.06  Generated:    5189
% 90.64/91.06  Kept:         2012
% 90.64/91.06  Inuse:        110
% 90.64/91.06  Deleted:      6
% 90.64/91.06  Deletedinuse: 2
% 90.64/91.06  
% 90.64/91.06  Resimplifying inuse:
% 90.64/91.06  Done
% 90.64/91.06  
% 90.64/91.06  Resimplifying inuse:
% 90.64/91.06  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    9807
% 90.64/91.07  Kept:         4021
% 90.64/91.07  Inuse:        184
% 90.64/91.07  Deleted:      16
% 90.64/91.07  Deletedinuse: 7
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    13620
% 90.64/91.07  Kept:         6021
% 90.64/91.07  Inuse:        237
% 90.64/91.07  Deleted:      23
% 90.64/91.07  Deletedinuse: 11
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    18600
% 90.64/91.07  Kept:         8127
% 90.64/91.07  Inuse:        288
% 90.64/91.07  Deleted:      92
% 90.64/91.07  Deletedinuse: 79
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    23852
% 90.64/91.07  Kept:         10131
% 90.64/91.07  Inuse:        369
% 90.64/91.07  Deleted:      101
% 90.64/91.07  Deletedinuse: 85
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    28767
% 90.64/91.07  Kept:         12322
% 90.64/91.07  Inuse:        380
% 90.64/91.07  Deleted:      106
% 90.64/91.07  Deletedinuse: 90
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    34741
% 90.64/91.07  Kept:         14342
% 90.64/91.07  Inuse:        417
% 90.64/91.07  Deleted:      107
% 90.64/91.07  Deletedinuse: 91
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    39451
% 90.64/91.07  Kept:         16448
% 90.64/91.07  Inuse:        470
% 90.64/91.07  Deleted:      107
% 90.64/91.07  Deletedinuse: 91
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    47467
% 90.64/91.07  Kept:         19084
% 90.64/91.07  Inuse:        510
% 90.64/91.07  Deleted:      109
% 90.64/91.07  Deletedinuse: 93
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying clauses:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    53984
% 90.64/91.07  Kept:         21105
% 90.64/91.07  Inuse:        551
% 90.64/91.07  Deleted:      3639
% 90.64/91.07  Deletedinuse: 94
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    59956
% 90.64/91.07  Kept:         23109
% 90.64/91.07  Inuse:        601
% 90.64/91.07  Deleted:      3639
% 90.64/91.07  Deletedinuse: 94
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    65765
% 90.64/91.07  Kept:         25127
% 90.64/91.07  Inuse:        646
% 90.64/91.07  Deleted:      3639
% 90.64/91.07  Deletedinuse: 94
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    74903
% 90.64/91.07  Kept:         28987
% 90.64/91.07  Inuse:        680
% 90.64/91.07  Deleted:      3639
% 90.64/91.07  Deletedinuse: 94
% 90.64/91.07  
% 90.64/91.07  Resimplifying inuse:
% 90.64/91.07  Done
% 90.64/91.07  
% 90.64/91.07  
% 90.64/91.07  Intermediate Status:
% 90.64/91.07  Generated:    79179
% 261.98/262.36  Kept:         31503
% 261.98/262.36  Inuse:        685
% 261.98/262.36  Deleted:      3639
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    83755
% 261.98/262.36  Kept:         33568
% 261.98/262.36  Inuse:        692
% 261.98/262.36  Deleted:      3639
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    88271
% 261.98/262.36  Kept:         35568
% 261.98/262.36  Inuse:        698
% 261.98/262.36  Deleted:      3639
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    92500
% 261.98/262.36  Kept:         37604
% 261.98/262.36  Inuse:        701
% 261.98/262.36  Deleted:      3639
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    96928
% 261.98/262.36  Kept:         39767
% 261.98/262.36  Inuse:        705
% 261.98/262.36  Deleted:      3639
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying clauses:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    111763
% 261.98/262.36  Kept:         42874
% 261.98/262.36  Inuse:        720
% 261.98/262.36  Deleted:      4082
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    156513
% 261.98/262.36  Kept:         44928
% 261.98/262.36  Inuse:        744
% 261.98/262.36  Deleted:      4082
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    165509
% 261.98/262.36  Kept:         47537
% 261.98/262.36  Inuse:        750
% 261.98/262.36  Deleted:      4082
% 261.98/262.36  Deletedinuse: 94
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    175511
% 261.98/262.36  Kept:         50115
% 261.98/262.36  Inuse:        760
% 261.98/262.36  Deleted:      4086
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    187901
% 261.98/262.36  Kept:         52238
% 261.98/262.36  Inuse:        770
% 261.98/262.36  Deleted:      4086
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    197007
% 261.98/262.36  Kept:         54257
% 261.98/262.36  Inuse:        776
% 261.98/262.36  Deleted:      4092
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    211093
% 261.98/262.36  Kept:         56446
% 261.98/262.36  Inuse:        784
% 261.98/262.36  Deleted:      4092
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    221148
% 261.98/262.36  Kept:         59280
% 261.98/262.36  Inuse:        794
% 261.98/262.36  Deleted:      4092
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying clauses:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    230872
% 261.98/262.36  Kept:         61399
% 261.98/262.36  Inuse:        806
% 261.98/262.36  Deleted:      5080
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    237147
% 261.98/262.36  Kept:         63405
% 261.98/262.36  Inuse:        811
% 261.98/262.36  Deleted:      5080
% 261.98/262.36  Deletedinuse: 98
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    251795
% 261.98/262.36  Kept:         65505
% 261.98/262.36  Inuse:        824
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    266190
% 261.98/262.36  Kept:         69181
% 261.98/262.36  Inuse:        839
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    275858
% 261.98/262.36  Kept:         72337
% 261.98/262.36  Inuse:        849
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    285783
% 261.98/262.36  Kept:         74836
% 261.98/262.36  Inuse:        859
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    296322
% 261.98/262.36  Kept:         77331
% 261.98/262.36  Inuse:        869
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    306715
% 261.98/262.36  Kept:         79625
% 261.98/262.36  Inuse:        879
% 261.98/262.36  Deleted:      5116
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying clauses:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    318329
% 261.98/262.36  Kept:         82822
% 261.98/262.36  Inuse:        889
% 261.98/262.36  Deleted:      10549
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    330708
% 261.98/262.36  Kept:         85967
% 261.98/262.36  Inuse:        899
% 261.98/262.36  Deleted:      10549
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    343008
% 261.98/262.36  Kept:         88740
% 261.98/262.36  Inuse:        909
% 261.98/262.36  Deleted:      10549
% 261.98/262.36  Deletedinuse: 134
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  Resimplifying inuse:
% 261.98/262.36  Done
% 261.98/262.36  
% 261.98/262.36  
% 261.98/262.36  Intermediate Status:
% 261.98/262.36  Generated:    356884
% 261.98/262.36  KeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------