TSTP Solution File: SET072-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET072-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 22:46:33 EDT 2022

% Result   : Timeout 300.02s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET072-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul 11 06:19:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.40/1.05  *** allocated 10000 integers for termspace/termends
% 0.40/1.05  *** allocated 10000 integers for clauses
% 0.40/1.05  *** allocated 10000 integers for justifications
% 0.40/1.05  Bliksem 1.12
% 0.40/1.05  
% 0.40/1.05  
% 0.40/1.05  Automatic Strategy Selection
% 0.40/1.05  
% 0.40/1.05  Clauses:
% 0.40/1.05  [
% 0.40/1.05     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.40/1.05     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.40/1.05     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ subclass( X, 'universal_class' ) ],
% 0.40/1.05     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.40/1.05     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.40/1.05     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.40/1.05     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.40/1.05     ) ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.40/1.05     ) ) ],
% 0.40/1.05     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.40/1.05     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.40/1.05     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.40/1.05     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.40/1.05    X, Z ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.40/1.05    Y, T ) ],
% 0.40/1.05     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.40/1.05     ), 'cross_product'( Y, T ) ) ],
% 0.40/1.05     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.40/1.05     ), second( X ) ), X ) ],
% 0.40/1.05     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.40/1.05    'universal_class' ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.40/1.05    Y ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.40/1.05    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.40/1.05    , Y ), 'element_relation' ) ],
% 0.40/1.05     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.40/1.05     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.40/1.05     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.40/1.05    Z ) ) ],
% 0.40/1.05     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.40/1.05    member( X, Y ) ],
% 0.40/1.05     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.40/1.05    union( X, Y ) ) ],
% 0.40/1.05     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.40/1.05    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.40/1.05    'symmetric_difference'( X, Y ) ) ],
% 0.40/1.05     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.40/1.05     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.40/1.05    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.40/1.05     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.40/1.05    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.40/1.05     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.40/1.05    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.40/1.05    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.40/1.05    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.40/1.05    Y ), rotate( T ) ) ],
% 0.40/1.05     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.40/1.05    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.40/1.05    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.40/1.05    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.40/1.05    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.40/1.05    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.40/1.05    Z ), flip( T ) ) ],
% 0.40/1.05     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.40/1.05    inverse( X ) ) ],
% 0.40/1.05     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.40/1.05     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.40/1.05    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.40/1.05     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.40/1.05    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.40/1.05     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.40/1.05     ],
% 0.40/1.05     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.40/1.05     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.40/1.05    'universal_class' ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.40/1.05    successor( X ), Y ) ],
% 0.40/1.05     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.40/1.05    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.40/1.05    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.40/1.05     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.40/1.05     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.40/1.05    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.40/1.05     [ inductive( omega ) ],
% 0.40/1.05     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.40/1.05     [ member( omega, 'universal_class' ) ],
% 0.40/1.05     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.40/1.05    , 'sum_class'( X ) ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.40/1.05    'universal_class' ) ],
% 0.40/1.05     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.40/1.05    'power_class'( X ) ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.40/1.05    'universal_class' ) ],
% 0.40/1.05     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.40/1.05    'universal_class' ) ) ],
% 0.40/1.05     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.40/1.05    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.40/1.05     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.40/1.05    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.40/1.05    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.40/1.05     ) ],
% 0.40/1.05     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.40/1.05    , 'identity_relation' ) ],
% 0.40/1.05     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.40/1.05    'single_valued_class'( X ) ],
% 0.40/1.05     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.40/1.05    'universal_class' ) ) ],
% 0.40/1.05     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.40/1.05    'identity_relation' ) ],
% 0.40/1.05     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.40/1.05     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.40/1.05    , function( X ) ],
% 0.40/1.05     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.40/1.05    X, Y ), 'universal_class' ) ],
% 0.40/1.05     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.40/1.05     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.40/1.05     ) ],
% 0.40/1.05     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.40/1.05     [ function( choice ) ],
% 0.40/1.05     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.40/1.05    apply( choice, X ), X ) ],
% 0.40/1.05     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.40/1.05     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.40/1.05     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.40/1.05    ,
% 0.40/1.05     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.40/1.05     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.40/1.05    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.40/1.05    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.40/1.05     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.40/1.05    'identity_relation' ) ],
% 0.40/1.05     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.40/1.05    , diagonalise( X ) ) ],
% 0.40/1.05     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.40/1.05    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.40/1.05     [ ~( operation( X ) ), function( X ) ],
% 0.40/1.05     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.40/1.05     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.40/1.05     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.65/5.04    'domain_of'( X ) ) ) ],
% 4.65/5.04     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.65/5.04     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.65/5.04    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.65/5.04    X ) ],
% 4.65/5.04     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.65/5.04     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.65/5.04    'domain_of'( X ) ) ],
% 4.65/5.04     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.65/5.04    'domain_of'( Z ) ) ) ],
% 4.65/5.04     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.65/5.04    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.65/5.04     ), compatible( X, Y, Z ) ],
% 4.65/5.04     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.65/5.04     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.65/5.04     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.65/5.04     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.65/5.04    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.65/5.04    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.65/5.04     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.65/5.04    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.65/5.04    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.65/5.04    , Y ) ],
% 4.65/5.04     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.65/5.04    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.65/5.04     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.65/5.04    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.65/5.04    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.65/5.04     [ =( 'unordered_pair'( x, z ), 'unordered_pair'( y, z ) ) ],
% 4.65/5.04     [ member( 'ordered_pair'( x, y ), 'cross_product'( 'universal_class', 
% 4.65/5.04    'universal_class' ) ) ],
% 4.65/5.04     [ ~( =( x, y ) ) ]
% 4.65/5.04  ] .
% 4.65/5.04  
% 4.65/5.04  
% 4.65/5.04  percentage equality = 0.222826, percentage horn = 0.914894
% 4.65/5.04  This is a problem with some equality
% 4.65/5.04  
% 4.65/5.04  
% 4.65/5.04  
% 4.65/5.04  Options Used:
% 4.65/5.04  
% 4.65/5.04  useres =            1
% 4.65/5.04  useparamod =        1
% 4.65/5.04  useeqrefl =         1
% 4.65/5.04  useeqfact =         1
% 4.65/5.04  usefactor =         1
% 4.65/5.04  usesimpsplitting =  0
% 4.65/5.04  usesimpdemod =      5
% 4.65/5.04  usesimpres =        3
% 4.65/5.04  
% 4.65/5.04  resimpinuse      =  1000
% 4.65/5.04  resimpclauses =     20000
% 4.65/5.04  substype =          eqrewr
% 4.65/5.04  backwardsubs =      1
% 4.65/5.04  selectoldest =      5
% 4.65/5.04  
% 4.65/5.04  litorderings [0] =  split
% 4.65/5.04  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.65/5.04  
% 4.65/5.04  termordering =      kbo
% 4.65/5.04  
% 4.65/5.04  litapriori =        0
% 4.65/5.04  termapriori =       1
% 4.65/5.04  litaposteriori =    0
% 4.65/5.04  termaposteriori =   0
% 4.65/5.04  demodaposteriori =  0
% 4.65/5.04  ordereqreflfact =   0
% 4.65/5.04  
% 4.65/5.04  litselect =         negord
% 4.65/5.04  
% 4.65/5.04  maxweight =         15
% 4.65/5.04  maxdepth =          30000
% 4.65/5.04  maxlength =         115
% 4.65/5.04  maxnrvars =         195
% 4.65/5.04  excuselevel =       1
% 4.65/5.04  increasemaxweight = 1
% 4.65/5.04  
% 4.65/5.04  maxselected =       10000000
% 4.65/5.04  maxnrclauses =      10000000
% 4.65/5.04  
% 4.65/5.04  showgenerated =    0
% 4.65/5.04  showkept =         0
% 4.65/5.04  showselected =     0
% 4.65/5.04  showdeleted =      0
% 4.65/5.04  showresimp =       1
% 4.65/5.04  showstatus =       2000
% 4.65/5.04  
% 4.65/5.04  prologoutput =     1
% 4.65/5.04  nrgoals =          5000000
% 4.65/5.04  totalproof =       1
% 4.65/5.04  
% 4.65/5.04  Symbols occurring in the translation:
% 4.65/5.04  
% 4.65/5.04  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.65/5.04  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 4.65/5.04  !  [4, 1]      (w:0, o:32, a:1, s:1, b:0), 
% 4.65/5.04  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.65/5.04  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.65/5.04  subclass  [41, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.65/5.04  member  [43, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.65/5.04  'not_subclass_element'  [44, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.65/5.04  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.65/5.04  'unordered_pair'  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.65/5.04  singleton  [47, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.65/5.04  'ordered_pair'  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.65/5.04  'cross_product'  [50, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 4.65/5.04  first  [52, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.65/5.04  second  [53, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.65/5.04  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.65/5.04  intersection  [55, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.65/5.04  complement  [56, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 4.65/5.04  union  [57, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.65/5.04  'symmetric_difference'  [58, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 4.65/5.04  restrict  [60, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 4.65/5.04  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 93.91/94.31  'domain_of'  [62, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 93.91/94.31  rotate  [63, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 93.91/94.31  flip  [65, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 93.91/94.31  inverse  [66, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 93.91/94.31  'range_of'  [67, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 93.91/94.31  domain  [68, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 93.91/94.31  range  [69, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 93.91/94.31  image  [70, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 93.91/94.31  successor  [71, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 93.91/94.31  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 93.91/94.31  inductive  [73, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 93.91/94.31  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 93.91/94.31  'sum_class'  [75, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 93.91/94.31  'power_class'  [76, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 93.91/94.31  compose  [78, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 93.91/94.31  'single_valued_class'  [79, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 93.91/94.31  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 93.91/94.31  function  [82, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 93.91/94.31  regular  [83, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 93.91/94.31  apply  [84, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 93.91/94.31  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 93.91/94.31  'one_to_one'  [86, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 93.91/94.31  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 93.91/94.31  diagonalise  [88, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 93.91/94.31  cantor  [89, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 93.91/94.31  operation  [90, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 93.91/94.31  compatible  [94, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 93.91/94.31  homomorphism  [95, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 93.91/94.31  'not_homomorphism1'  [96, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 93.91/94.31  'not_homomorphism2'  [97, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 93.91/94.31  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 93.91/94.31  z  [99, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 93.91/94.31  y  [100, 0]      (w:1, o:30, a:1, s:1, b:0).
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Starting Search:
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    5189
% 93.91/94.31  Kept:         2012
% 93.91/94.31  Inuse:        110
% 93.91/94.31  Deleted:      6
% 93.91/94.31  Deletedinuse: 2
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    9678
% 93.91/94.31  Kept:         4026
% 93.91/94.31  Inuse:        181
% 93.91/94.31  Deleted:      16
% 93.91/94.31  Deletedinuse: 7
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    13528
% 93.91/94.31  Kept:         6042
% 93.91/94.31  Inuse:        235
% 93.91/94.31  Deleted:      23
% 93.91/94.31  Deletedinuse: 12
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    18649
% 93.91/94.31  Kept:         8253
% 93.91/94.31  Inuse:        288
% 93.91/94.31  Deleted:      78
% 93.91/94.31  Deletedinuse: 65
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    25675
% 93.91/94.31  Kept:         11370
% 93.91/94.31  Inuse:        375
% 93.91/94.31  Deleted:      89
% 93.91/94.31  Deletedinuse: 73
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    32110
% 93.91/94.31  Kept:         13625
% 93.91/94.31  Inuse:        385
% 93.91/94.31  Deleted:      93
% 93.91/94.31  Deletedinuse: 77
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    37502
% 93.91/94.31  Kept:         15641
% 93.91/94.31  Inuse:        438
% 93.91/94.31  Deleted:      93
% 93.91/94.31  Deletedinuse: 77
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    42018
% 93.91/94.31  Kept:         17648
% 93.91/94.31  Inuse:        492
% 93.91/94.31  Deleted:      95
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    48365
% 93.91/94.31  Kept:         19662
% 93.91/94.31  Inuse:        510
% 93.91/94.31  Deleted:      95
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying clauses:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    54978
% 93.91/94.31  Kept:         21664
% 93.91/94.31  Inuse:        551
% 93.91/94.31  Deleted:      3335
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    61164
% 93.91/94.31  Kept:         23714
% 93.91/94.31  Inuse:        603
% 93.91/94.31  Deleted:      3335
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    67379
% 93.91/94.31  Kept:         25723
% 93.91/94.31  Inuse:        648
% 93.91/94.31  Deleted:      3335
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    79138
% 93.91/94.31  Kept:         29906
% 93.91/94.31  Inuse:        685
% 93.91/94.31  Deleted:      3335
% 93.91/94.31  Deletedinuse: 79
% 93.91/94.31  
% 93.91/94.31  Resimplifying inuse:
% 93.91/94.31  Done
% 93.91/94.31  
% 93.91/94.31  
% 93.91/94.31  Intermediate Status:
% 93.91/94.31  Generated:    83627
% 252.62/253.08  Kept:         32512
% 252.62/253.08  Inuse:        690
% 252.62/253.08  Deleted:      3339
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    88361
% 252.62/253.08  Kept:         34589
% 252.62/253.08  Inuse:        697
% 252.62/253.08  Deleted:      3339
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    93026
% 252.62/253.08  Kept:         36616
% 252.62/253.08  Inuse:        703
% 252.62/253.08  Deleted:      3339
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    97265
% 252.62/253.08  Kept:         38653
% 252.62/253.08  Inuse:        705
% 252.62/253.08  Deleted:      3339
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    102058
% 252.62/253.08  Kept:         40977
% 252.62/253.08  Inuse:        710
% 252.62/253.08  Deleted:      3339
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying clauses:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    117488
% 252.62/253.08  Kept:         44139
% 252.62/253.08  Inuse:        725
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    166339
% 252.62/253.08  Kept:         46905
% 252.62/253.08  Inuse:        750
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    176223
% 252.62/253.08  Kept:         49699
% 252.62/253.08  Inuse:        760
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    186909
% 252.62/253.08  Kept:         52497
% 252.62/253.08  Inuse:        770
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    197715
% 252.62/253.08  Kept:         54970
% 252.62/253.08  Inuse:        780
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    215615
% 252.62/253.08  Kept:         57494
% 252.62/253.08  Inuse:        790
% 252.62/253.08  Deleted:      3774
% 252.62/253.08  Deletedinuse: 83
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    229189
% 252.62/253.08  Kept:         60456
% 252.62/253.08  Inuse:        805
% 252.62/253.08  Deleted:      3806
% 252.62/253.08  Deletedinuse: 115
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying clauses:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    237833
% 252.62/253.08  Kept:         62519
% 252.62/253.08  Inuse:        819
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    246979
% 252.62/253.08  Kept:         64734
% 252.62/253.08  Inuse:        825
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    262971
% 252.62/253.08  Kept:         67027
% 252.62/253.08  Inuse:        840
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    272292
% 252.62/253.08  Kept:         69890
% 252.62/253.08  Inuse:        850
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    281749
% 252.62/253.08  Kept:         72789
% 252.62/253.08  Inuse:        860
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    293126
% 252.62/253.08  Kept:         75644
% 252.62/253.08  Inuse:        870
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    304951
% 252.62/253.08  Kept:         78511
% 252.62/253.08  Inuse:        880
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    316759
% 252.62/253.08  Kept:         81059
% 252.62/253.08  Inuse:        890
% 252.62/253.08  Deleted:      9253
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying clauses:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    329196
% 252.62/253.08  Kept:         84131
% 252.62/253.08  Inuse:        900
% 252.62/253.08  Deleted:      10323
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    341804
% 252.62/253.08  Kept:         87181
% 252.62/253.08  Inuse:        910
% 252.62/253.08  Deleted:      10323
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    354381
% 252.62/253.08  Kept:         89891
% 252.62/253.08  Inuse:        920
% 252.62/253.08  Deleted:      10323
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    368360
% 252.62/253.08  Kept:         91995
% 252.62/253.08  Inuse:        932
% 252.62/253.08  Deleted:      10323
% 252.62/253.08  Deletedinuse: 124
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  Resimplifying inuse:
% 252.62/253.08  Done
% 252.62/253.08  
% 252.62/253.08  
% 252.62/253.08  Intermediate Status:
% 252.62/253.08  Generated:    3859Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------