TSTP Solution File: SET104-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET104-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n004.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 22:47:09 EDT 2022

% Result   : Timeout 300.03s 300.47s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET104-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Sat Jul  9 21:51:22 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.68/1.07  *** allocated 10000 integers for termspace/termends
% 0.68/1.07  *** allocated 10000 integers for clauses
% 0.68/1.07  *** allocated 10000 integers for justifications
% 0.68/1.07  Bliksem 1.12
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Automatic Strategy Selection
% 0.68/1.07  
% 0.68/1.07  Clauses:
% 0.68/1.07  [
% 0.68/1.07     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.68/1.07     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.68/1.07     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ subclass( X, 'universal_class' ) ],
% 0.68/1.07     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.68/1.07     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.68/1.07     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.68/1.07     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.68/1.07     ) ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.68/1.07     ) ) ],
% 0.68/1.07     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.68/1.07     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.68/1.07     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.68/1.07     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.68/1.07    X, Z ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.68/1.07    Y, T ) ],
% 0.68/1.07     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.68/1.07     ), 'cross_product'( Y, T ) ) ],
% 0.68/1.07     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.68/1.07     ), second( X ) ), X ) ],
% 0.68/1.07     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.68/1.07    'universal_class' ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.68/1.07    Y ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.68/1.07    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.68/1.07    , Y ), 'element_relation' ) ],
% 0.68/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.68/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.68/1.07     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.68/1.07    Z ) ) ],
% 0.68/1.07     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.68/1.07    member( X, Y ) ],
% 0.68/1.07     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.68/1.07    union( X, Y ) ) ],
% 0.68/1.07     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.68/1.07    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.68/1.07    'symmetric_difference'( X, Y ) ) ],
% 0.68/1.07     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.68/1.07     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.68/1.07    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.68/1.07     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.68/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.68/1.07     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.68/1.07    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.68/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.68/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.68/1.07    Y ), rotate( T ) ) ],
% 0.68/1.07     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.68/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.68/1.07    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.68/1.07    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.68/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.68/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.68/1.07    Z ), flip( T ) ) ],
% 0.68/1.07     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.68/1.07    inverse( X ) ) ],
% 0.68/1.07     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.68/1.07     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.68/1.07    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.68/1.07     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.68/1.07    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.68/1.07     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.68/1.07     ],
% 0.68/1.07     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.68/1.07     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.68/1.07    'universal_class' ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.68/1.07    successor( X ), Y ) ],
% 0.68/1.07     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.68/1.07    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.68/1.07    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.68/1.07     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.68/1.07     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.68/1.07    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.68/1.07     [ inductive( omega ) ],
% 0.68/1.07     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.68/1.07     [ member( omega, 'universal_class' ) ],
% 0.68/1.07     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.68/1.07    , 'sum_class'( X ) ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.68/1.07    'universal_class' ) ],
% 0.68/1.07     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.68/1.07    'power_class'( X ) ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.68/1.07    'universal_class' ) ],
% 0.68/1.07     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.68/1.07    'universal_class' ) ) ],
% 0.68/1.07     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.68/1.07    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.68/1.07     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.68/1.07    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.68/1.07    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.68/1.07     ) ],
% 0.68/1.07     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.68/1.07    , 'identity_relation' ) ],
% 0.68/1.07     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.68/1.07    'single_valued_class'( X ) ],
% 0.68/1.07     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.68/1.07    'universal_class' ) ) ],
% 0.68/1.07     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.68/1.07    'identity_relation' ) ],
% 0.68/1.07     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.07     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.68/1.07    , function( X ) ],
% 0.68/1.07     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.68/1.07    X, Y ), 'universal_class' ) ],
% 0.68/1.07     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.68/1.07     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.68/1.07     ) ],
% 0.68/1.07     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.68/1.07     [ function( choice ) ],
% 0.68/1.07     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.68/1.07    apply( choice, X ), X ) ],
% 0.68/1.07     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.68/1.07     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.68/1.07     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.68/1.07    ,
% 0.68/1.07     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.07     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.68/1.07    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.68/1.07    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.68/1.07     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.68/1.07    'identity_relation' ) ],
% 0.68/1.07     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.68/1.07    , diagonalise( X ) ) ],
% 0.68/1.07     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.68/1.07    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.68/1.07     [ ~( operation( X ) ), function( X ) ],
% 0.68/1.07     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.68/1.07     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.68/1.07     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.74/5.13    'domain_of'( X ) ) ) ],
% 4.74/5.13     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.74/5.13     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.74/5.13    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.74/5.13    X ) ],
% 4.74/5.13     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.74/5.13     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.74/5.13    'domain_of'( X ) ) ],
% 4.74/5.13     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.74/5.13    'domain_of'( Z ) ) ) ],
% 4.74/5.13     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.74/5.13    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.74/5.13     ), compatible( X, Y, Z ) ],
% 4.74/5.13     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.74/5.13     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.74/5.13     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.74/5.13     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.74/5.13    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.74/5.13    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.74/5.13     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.74/5.13    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.74/5.13    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.74/5.13    , Y ) ],
% 4.74/5.13     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.74/5.13    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.74/5.13     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.74/5.13    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.74/5.13    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.74/5.13     [ ~( =( 'unordered_pair'( 'null_class', singleton( singleton( y ) ) ), 
% 4.74/5.13    'ordered_pair'( x, y ) ) ) ],
% 4.74/5.13     [ ~( member( x, 'universal_class' ) ) ]
% 4.74/5.13  ] .
% 4.74/5.13  
% 4.74/5.13  
% 4.74/5.13  percentage equality = 0.218579, percentage horn = 0.913978
% 4.74/5.13  This is a problem with some equality
% 4.74/5.13  
% 4.74/5.13  
% 4.74/5.13  
% 4.74/5.13  Options Used:
% 4.74/5.13  
% 4.74/5.13  useres =            1
% 4.74/5.13  useparamod =        1
% 4.74/5.13  useeqrefl =         1
% 4.74/5.13  useeqfact =         1
% 4.74/5.13  usefactor =         1
% 4.74/5.13  usesimpsplitting =  0
% 4.74/5.13  usesimpdemod =      5
% 4.74/5.13  usesimpres =        3
% 4.74/5.13  
% 4.74/5.13  resimpinuse      =  1000
% 4.74/5.13  resimpclauses =     20000
% 4.74/5.13  substype =          eqrewr
% 4.74/5.13  backwardsubs =      1
% 4.74/5.13  selectoldest =      5
% 4.74/5.13  
% 4.74/5.13  litorderings [0] =  split
% 4.74/5.13  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.74/5.13  
% 4.74/5.13  termordering =      kbo
% 4.74/5.13  
% 4.74/5.13  litapriori =        0
% 4.74/5.13  termapriori =       1
% 4.74/5.13  litaposteriori =    0
% 4.74/5.13  termaposteriori =   0
% 4.74/5.13  demodaposteriori =  0
% 4.74/5.13  ordereqreflfact =   0
% 4.74/5.13  
% 4.74/5.13  litselect =         negord
% 4.74/5.13  
% 4.74/5.13  maxweight =         15
% 4.74/5.13  maxdepth =          30000
% 4.74/5.13  maxlength =         115
% 4.74/5.13  maxnrvars =         195
% 4.74/5.13  excuselevel =       1
% 4.74/5.13  increasemaxweight = 1
% 4.74/5.13  
% 4.74/5.13  maxselected =       10000000
% 4.74/5.13  maxnrclauses =      10000000
% 4.74/5.13  
% 4.74/5.13  showgenerated =    0
% 4.74/5.13  showkept =         0
% 4.74/5.13  showselected =     0
% 4.74/5.13  showdeleted =      0
% 4.74/5.13  showresimp =       1
% 4.74/5.13  showstatus =       2000
% 4.74/5.13  
% 4.74/5.13  prologoutput =     1
% 4.74/5.13  nrgoals =          5000000
% 4.74/5.13  totalproof =       1
% 4.74/5.13  
% 4.74/5.13  Symbols occurring in the translation:
% 4.74/5.13  
% 4.74/5.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.74/5.13  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 4.74/5.13  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 4.74/5.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.74/5.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.74/5.13  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.74/5.13  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.74/5.13  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.74/5.13  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.74/5.13  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.74/5.13  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.74/5.13  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.74/5.13  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.74/5.13  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.74/5.13  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.74/5.13  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.74/5.13  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.74/5.13  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.74/5.13  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.74/5.13  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.74/5.13  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 4.74/5.13  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 94.64/95.01  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 94.64/95.01  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 94.64/95.01  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 94.64/95.01  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 94.64/95.01  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 94.64/95.01  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 94.64/95.01  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 94.64/95.01  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 94.64/95.01  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 94.64/95.01  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 94.64/95.01  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 94.64/95.01  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 94.64/95.01  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 94.64/95.01  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 94.64/95.01  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 94.64/95.01  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 94.64/95.01  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 94.64/95.01  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 94.64/95.01  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 94.64/95.01  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 94.64/95.01  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 94.64/95.01  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 94.64/95.01  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 94.64/95.01  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 94.64/95.01  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 94.64/95.01  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 94.64/95.01  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 94.64/95.01  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 94.64/95.01  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 94.64/95.01  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 94.64/95.01  y  [98, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 94.64/95.01  x  [99, 0]      (w:1, o:29, a:1, s:1, b:0).
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Starting Search:
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    4804
% 94.64/95.01  Kept:         2010
% 94.64/95.01  Inuse:        119
% 94.64/95.01  Deleted:      7
% 94.64/95.01  Deletedinuse: 3
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    10164
% 94.64/95.01  Kept:         4270
% 94.64/95.01  Inuse:        194
% 94.64/95.01  Deleted:      12
% 94.64/95.01  Deletedinuse: 5
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    14049
% 94.64/95.01  Kept:         6270
% 94.64/95.01  Inuse:        262
% 94.64/95.01  Deleted:      20
% 94.64/95.01  Deletedinuse: 9
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    19475
% 94.64/95.01  Kept:         8293
% 94.64/95.01  Inuse:        315
% 94.64/95.01  Deleted:      69
% 94.64/95.01  Deletedinuse: 56
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    25034
% 94.64/95.01  Kept:         10899
% 94.64/95.01  Inuse:        372
% 94.64/95.01  Deleted:      77
% 94.64/95.01  Deletedinuse: 63
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    31467
% 94.64/95.01  Kept:         13031
% 94.64/95.01  Inuse:        382
% 94.64/95.01  Deleted:      83
% 94.64/95.01  Deletedinuse: 69
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    36892
% 94.64/95.01  Kept:         15069
% 94.64/95.01  Inuse:        441
% 94.64/95.01  Deleted:      91
% 94.64/95.01  Deletedinuse: 74
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    42670
% 94.64/95.01  Kept:         17164
% 94.64/95.01  Inuse:        488
% 94.64/95.01  Deleted:      94
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    48851
% 94.64/95.01  Kept:         19200
% 94.64/95.01  Inuse:        517
% 94.64/95.01  Deleted:      94
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying clauses:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    54590
% 94.64/95.01  Kept:         21200
% 94.64/95.01  Inuse:        560
% 94.64/95.01  Deleted:      3251
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    60449
% 94.64/95.01  Kept:         23230
% 94.64/95.01  Inuse:        612
% 94.64/95.01  Deleted:      3251
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    66529
% 94.64/95.01  Kept:         25249
% 94.64/95.01  Inuse:        653
% 94.64/95.01  Deleted:      3251
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    73801
% 94.64/95.01  Kept:         28649
% 94.64/95.01  Inuse:        678
% 94.64/95.01  Deleted:      3251
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  
% 94.64/95.01  Intermediate Status:
% 94.64/95.01  Generated:    78161
% 94.64/95.01  Kept:         31180
% 94.64/95.01  Inuse:        683
% 94.64/95.01  Deleted:      3251
% 94.64/95.01  Deletedinuse: 76
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 94.64/95.01  Done
% 94.64/95.01  
% 94.64/95.01  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    82946
% 249.69/250.20  Kept:         33262
% 249.69/250.20  Inuse:        691
% 249.69/250.20  Deleted:      3251
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    91459
% 249.69/250.20  Kept:         37080
% 249.69/250.20  Inuse:        698
% 249.69/250.20  Deleted:      3251
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    96112
% 249.69/250.20  Kept:         39338
% 249.69/250.20  Inuse:        703
% 249.69/250.20  Deleted:      3251
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying clauses:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    111155
% 249.69/250.20  Kept:         42290
% 249.69/250.20  Inuse:        718
% 249.69/250.20  Deleted:      4123
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    159236
% 249.69/250.20  Kept:         45107
% 249.69/250.20  Inuse:        743
% 249.69/250.20  Deleted:      4123
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    169574
% 249.69/250.20  Kept:         48019
% 249.69/250.20  Inuse:        753
% 249.69/250.20  Deleted:      4123
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    180263
% 249.69/250.20  Kept:         50566
% 249.69/250.20  Inuse:        763
% 249.69/250.20  Deleted:      4123
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    190568
% 249.69/250.20  Kept:         52973
% 249.69/250.20  Inuse:        773
% 249.69/250.20  Deleted:      4123
% 249.69/250.20  Deletedinuse: 76
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    207714
% 249.69/250.20  Kept:         55501
% 249.69/250.20  Inuse:        783
% 249.69/250.20  Deleted:      4125
% 249.69/250.20  Deletedinuse: 78
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    219207
% 249.69/250.20  Kept:         57983
% 249.69/250.20  Inuse:        793
% 249.69/250.20  Deleted:      4127
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    226990
% 249.69/250.20  Kept:         60155
% 249.69/250.20  Inuse:        798
% 249.69/250.20  Deleted:      4132
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying clauses:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    237088
% 249.69/250.20  Kept:         62627
% 249.69/250.20  Inuse:        807
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    248056
% 249.69/250.20  Kept:         65237
% 249.69/250.20  Inuse:        817
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    258666
% 249.69/250.20  Kept:         67865
% 249.69/250.20  Inuse:        827
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    269841
% 249.69/250.20  Kept:         70548
% 249.69/250.20  Inuse:        837
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    281571
% 249.69/250.20  Kept:         73285
% 249.69/250.20  Inuse:        847
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    293382
% 249.69/250.20  Kept:         76100
% 249.69/250.20  Inuse:        857
% 249.69/250.20  Deleted:      5043
% 249.69/250.20  Deletedinuse: 80
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    304350
% 249.69/250.20  Kept:         78574
% 249.69/250.20  Inuse:        867
% 249.69/250.20  Deleted:      5079
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    314544
% 249.69/250.20  Kept:         80959
% 249.69/250.20  Inuse:        877
% 249.69/250.20  Deleted:      5079
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying clauses:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    325909
% 249.69/250.20  Kept:         84137
% 249.69/250.20  Inuse:        887
% 249.69/250.20  Deleted:      10848
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    336658
% 249.69/250.20  Kept:         86689
% 249.69/250.20  Inuse:        897
% 249.69/250.20  Deleted:      10848
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    348237
% 249.69/250.20  Kept:         89435
% 249.69/250.20  Inuse:        907
% 249.69/250.20  Deleted:      10848
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    359681
% 249.69/250.20  Kept:         92397
% 249.69/250.20  Inuse:        917
% 249.69/250.20  Deleted:      10848
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  
% 249.69/250.20  Intermediate Status:
% 249.69/250.20  Generated:    373005
% 249.69/250.20  Kept:         94561
% 249.69/250.20  Inuse:        930
% 249.69/250.20  Deleted:      10848
% 249.69/250.20  Deletedinuse: 116
% 249.69/250.20  
% 249.69/250.20  Resimplifying inuse:
% 249.69/250.20  Done
% 249.69/250.20  
% 249.69/250.20  ResimplifyiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------