TSTP Solution File: SET125-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET125-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 22:47:26 EDT 2022

% Result   : Timeout 288.95s 289.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET125-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.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 : Sun Jul 10 23:19:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.07  *** allocated 10000 integers for termspace/termends
% 0.41/1.07  *** allocated 10000 integers for clauses
% 0.41/1.07  *** allocated 10000 integers for justifications
% 0.41/1.07  Bliksem 1.12
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  Automatic Strategy Selection
% 0.41/1.07  
% 0.41/1.07  Clauses:
% 0.41/1.07  [
% 0.41/1.07     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.41/1.07     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.41/1.07     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ subclass( X, 'universal_class' ) ],
% 0.41/1.07     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.41/1.07     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.41/1.07     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.41/1.07     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.41/1.07     ) ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.41/1.07     ) ) ],
% 0.41/1.07     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.41/1.07     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.41/1.07     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.41/1.07     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.41/1.07    X, Z ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.41/1.07    Y, T ) ],
% 0.41/1.07     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.41/1.07     ), 'cross_product'( Y, T ) ) ],
% 0.41/1.07     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.41/1.07     ), second( X ) ), X ) ],
% 0.41/1.07     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.41/1.07    'universal_class' ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.41/1.07    Y ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.41/1.07    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.41/1.07    , Y ), 'element_relation' ) ],
% 0.41/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.41/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.41/1.07     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.41/1.07    Z ) ) ],
% 0.41/1.07     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.41/1.07    member( X, Y ) ],
% 0.41/1.07     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.41/1.07    union( X, Y ) ) ],
% 0.41/1.07     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.41/1.07    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.41/1.07    'symmetric_difference'( X, Y ) ) ],
% 0.41/1.07     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.41/1.07     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.41/1.07    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.41/1.07     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.41/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.41/1.07     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.41/1.07    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.41/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.41/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.41/1.07    Y ), rotate( T ) ) ],
% 0.41/1.07     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.41/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.41/1.07    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.41/1.07    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.41/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.41/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.41/1.07    Z ), flip( T ) ) ],
% 0.41/1.07     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.41/1.07    inverse( X ) ) ],
% 0.41/1.07     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.41/1.07     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.41/1.07    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.41/1.07     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.41/1.07    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.41/1.07     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.41/1.07     ],
% 0.41/1.07     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.41/1.07     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.41/1.07    'universal_class' ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.41/1.07    successor( X ), Y ) ],
% 0.41/1.07     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.41/1.07    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.41/1.07    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.41/1.07     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.41/1.07     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.41/1.07    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.41/1.07     [ inductive( omega ) ],
% 0.41/1.07     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.41/1.07     [ member( omega, 'universal_class' ) ],
% 0.41/1.07     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.41/1.07    , 'sum_class'( X ) ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.41/1.07    'universal_class' ) ],
% 0.41/1.07     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.41/1.07    'power_class'( X ) ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.41/1.07    'universal_class' ) ],
% 0.41/1.07     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.41/1.07    'universal_class' ) ) ],
% 0.41/1.07     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.41/1.07    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.41/1.07     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.41/1.07    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.41/1.07    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.41/1.07     ) ],
% 0.41/1.07     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.41/1.07    , 'identity_relation' ) ],
% 0.41/1.07     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.41/1.07    'single_valued_class'( X ) ],
% 0.41/1.07     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.41/1.07    'universal_class' ) ) ],
% 0.41/1.07     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.41/1.07    'identity_relation' ) ],
% 0.41/1.07     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.41/1.07     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.41/1.07    , function( X ) ],
% 0.41/1.07     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.41/1.07    X, Y ), 'universal_class' ) ],
% 0.41/1.07     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.41/1.07     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.41/1.07     ) ],
% 0.41/1.07     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.41/1.07     [ function( choice ) ],
% 0.41/1.07     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.41/1.07    apply( choice, X ), X ) ],
% 0.41/1.07     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.41/1.07     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.41/1.07     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.41/1.07    ,
% 0.41/1.07     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.41/1.07     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.41/1.07    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.41/1.07    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.41/1.07     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.41/1.07    'identity_relation' ) ],
% 0.41/1.07     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.41/1.07    , diagonalise( X ) ) ],
% 0.41/1.07     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.41/1.07    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.41/1.07     [ ~( operation( X ) ), function( X ) ],
% 0.41/1.07     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.41/1.07     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.41/1.07     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.85/6.28    'domain_of'( X ) ) ) ],
% 5.85/6.28     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.85/6.28     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.85/6.28    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.85/6.28    X ) ],
% 5.85/6.28     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.85/6.28     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.85/6.28    'domain_of'( X ) ) ],
% 5.85/6.28     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.85/6.28    'domain_of'( Z ) ) ) ],
% 5.85/6.28     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.85/6.28    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.85/6.28     ), compatible( X, Y, Z ) ],
% 5.85/6.28     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.85/6.28     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.85/6.28     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.85/6.28     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.85/6.28    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.85/6.28    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.85/6.28     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.85/6.28    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.85/6.28    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.85/6.28    , Y ) ],
% 5.85/6.28     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.85/6.28    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.85/6.28     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.85/6.28    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.85/6.28    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.85/6.28     [ =( union( singleton( X ), Y ), 'set_builder'( X, Y ) ) ],
% 5.85/6.28     [ member( x, z ) ],
% 5.85/6.28     [ ~( member( x, 'set_builder'( y, z ) ) ) ]
% 5.85/6.28  ] .
% 5.85/6.28  
% 5.85/6.28  
% 5.85/6.28  percentage equality = 0.217391, percentage horn = 0.914894
% 5.85/6.28  This is a problem with some equality
% 5.85/6.28  
% 5.85/6.28  
% 5.85/6.28  
% 5.85/6.28  Options Used:
% 5.85/6.28  
% 5.85/6.28  useres =            1
% 5.85/6.28  useparamod =        1
% 5.85/6.28  useeqrefl =         1
% 5.85/6.28  useeqfact =         1
% 5.85/6.28  usefactor =         1
% 5.85/6.28  usesimpsplitting =  0
% 5.85/6.28  usesimpdemod =      5
% 5.85/6.28  usesimpres =        3
% 5.85/6.28  
% 5.85/6.28  resimpinuse      =  1000
% 5.85/6.28  resimpclauses =     20000
% 5.85/6.28  substype =          eqrewr
% 5.85/6.28  backwardsubs =      1
% 5.85/6.28  selectoldest =      5
% 5.85/6.28  
% 5.85/6.28  litorderings [0] =  split
% 5.85/6.28  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.85/6.28  
% 5.85/6.28  termordering =      kbo
% 5.85/6.28  
% 5.85/6.28  litapriori =        0
% 5.85/6.28  termapriori =       1
% 5.85/6.28  litaposteriori =    0
% 5.85/6.28  termaposteriori =   0
% 5.85/6.28  demodaposteriori =  0
% 5.85/6.28  ordereqreflfact =   0
% 5.85/6.28  
% 5.85/6.28  litselect =         negord
% 5.85/6.28  
% 5.85/6.28  maxweight =         15
% 5.85/6.28  maxdepth =          30000
% 5.85/6.28  maxlength =         115
% 5.85/6.28  maxnrvars =         195
% 5.85/6.28  excuselevel =       1
% 5.85/6.28  increasemaxweight = 1
% 5.85/6.28  
% 5.85/6.28  maxselected =       10000000
% 5.85/6.28  maxnrclauses =      10000000
% 5.85/6.28  
% 5.85/6.28  showgenerated =    0
% 5.85/6.28  showkept =         0
% 5.85/6.28  showselected =     0
% 5.85/6.28  showdeleted =      0
% 5.85/6.28  showresimp =       1
% 5.85/6.28  showstatus =       2000
% 5.85/6.28  
% 5.85/6.28  prologoutput =     1
% 5.85/6.28  nrgoals =          5000000
% 5.85/6.28  totalproof =       1
% 5.85/6.28  
% 5.85/6.28  Symbols occurring in the translation:
% 5.85/6.28  
% 5.85/6.28  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.85/6.28  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 5.85/6.28  !  [4, 1]      (w:0, o:32, a:1, s:1, b:0), 
% 5.85/6.28  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.85/6.28  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.85/6.28  subclass  [41, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.85/6.28  member  [43, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.85/6.28  'not_subclass_element'  [44, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.85/6.28  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.85/6.28  'unordered_pair'  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.85/6.28  singleton  [47, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.85/6.28  'ordered_pair'  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.85/6.28  'cross_product'  [50, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 5.85/6.28  first  [52, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.85/6.28  second  [53, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.85/6.28  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.85/6.28  intersection  [55, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.85/6.28  complement  [56, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 5.85/6.28  union  [57, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.85/6.28  'symmetric_difference'  [58, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 5.85/6.28  restrict  [60, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 5.85/6.28  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 5.85/6.28  'domain_of'  [62, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 103.62/104.05  rotate  [63, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 103.62/104.05  flip  [65, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 103.62/104.05  inverse  [66, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 103.62/104.05  'range_of'  [67, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 103.62/104.05  domain  [68, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 103.62/104.05  range  [69, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 103.62/104.05  image  [70, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 103.62/104.05  successor  [71, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 103.62/104.05  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 103.62/104.05  inductive  [73, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 103.62/104.05  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 103.62/104.05  'sum_class'  [75, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 103.62/104.05  'power_class'  [76, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 103.62/104.05  compose  [78, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 103.62/104.05  'single_valued_class'  [79, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 103.62/104.05  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 103.62/104.05  function  [82, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 103.62/104.05  regular  [83, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 103.62/104.05  apply  [84, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 103.62/104.05  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 103.62/104.05  'one_to_one'  [86, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 103.62/104.05  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 103.62/104.05  diagonalise  [88, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 103.62/104.05  cantor  [89, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 103.62/104.05  operation  [90, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 103.62/104.05  compatible  [94, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 103.62/104.05  homomorphism  [95, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 103.62/104.05  'not_homomorphism1'  [96, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 103.62/104.05  'not_homomorphism2'  [97, 3]      (w:1, o:101, a:1, s:1, b:0), 
% 103.62/104.05  'set_builder'  [98, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 103.62/104.05  x  [99, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 103.62/104.05  z  [100, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 103.62/104.05  y  [101, 0]      (w:1, o:30, a:1, s:1, b:0).
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Starting Search:
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    4506
% 103.62/104.05  Kept:         2002
% 103.62/104.05  Inuse:        107
% 103.62/104.05  Deleted:      4
% 103.62/104.05  Deletedinuse: 2
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    9181
% 103.62/104.05  Kept:         4013
% 103.62/104.05  Inuse:        184
% 103.62/104.05  Deleted:      14
% 103.62/104.05  Deletedinuse: 5
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    13096
% 103.62/104.05  Kept:         6062
% 103.62/104.05  Inuse:        235
% 103.62/104.05  Deleted:      16
% 103.62/104.05  Deletedinuse: 5
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    18270
% 103.62/104.05  Kept:         8246
% 103.62/104.05  Inuse:        288
% 103.62/104.05  Deleted:      53
% 103.62/104.05  Deletedinuse: 40
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    25394
% 103.62/104.05  Kept:         11462
% 103.62/104.05  Inuse:        371
% 103.62/104.05  Deleted:      73
% 103.62/104.05  Deletedinuse: 58
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    31786
% 103.62/104.05  Kept:         13696
% 103.62/104.05  Inuse:        381
% 103.62/104.05  Deleted:      79
% 103.62/104.05  Deletedinuse: 64
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    37224
% 103.62/104.05  Kept:         15772
% 103.62/104.05  Inuse:        436
% 103.62/104.05  Deleted:      79
% 103.62/104.05  Deletedinuse: 64
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    41862
% 103.62/104.05  Kept:         17795
% 103.62/104.05  Inuse:        492
% 103.62/104.05  Deleted:      81
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    49030
% 103.62/104.05  Kept:         19902
% 103.62/104.05  Inuse:        506
% 103.62/104.05  Deleted:      81
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying clauses:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    54457
% 103.62/104.05  Kept:         21944
% 103.62/104.05  Inuse:        549
% 103.62/104.05  Deleted:      2980
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    60121
% 103.62/104.05  Kept:         23980
% 103.62/104.05  Inuse:        594
% 103.62/104.05  Deleted:      2980
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    66288
% 103.62/104.05  Kept:         25992
% 103.62/104.05  Inuse:        645
% 103.62/104.05  Deleted:      2980
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    72967
% 103.62/104.05  Kept:         28006
% 103.62/104.05  Inuse:        688
% 103.62/104.05  Deleted:      2980
% 103.62/104.05  Deletedinuse: 66
% 103.62/104.05  
% 103.62/104.05  Resimplifying inuse:
% 103.62/104.05  Done
% 103.62/104.05  
% 103.62/104.05  
% 103.62/104.05  Intermediate Status:
% 103.62/104.05  Generated:    88316
% 288.95/289.42  Kept:         31820
% 288.95/289.42  Inuse:        720
% 288.95/289.42  Deleted:      2990
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    93186
% 288.95/289.42  Kept:         34038
% 288.95/289.42  Inuse:        725
% 288.95/289.42  Deleted:      2990
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    98154
% 288.95/289.42  Kept:         36946
% 288.95/289.42  Inuse:        730
% 288.95/289.42  Deleted:      2990
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    103199
% 288.95/289.42  Kept:         39884
% 288.95/289.42  Inuse:        735
% 288.95/289.42  Deleted:      2990
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying clauses:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    108218
% 288.95/289.42  Kept:         42108
% 288.95/289.42  Inuse:        740
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    113208
% 288.95/289.42  Kept:         44387
% 288.95/289.42  Inuse:        745
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    118435
% 288.95/289.42  Kept:         46972
% 288.95/289.42  Inuse:        750
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    123758
% 288.95/289.42  Kept:         49615
% 288.95/289.42  Inuse:        755
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    131629
% 288.95/289.42  Kept:         51680
% 288.95/289.42  Inuse:        769
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    152511
% 288.95/289.42  Kept:         53680
% 288.95/289.42  Inuse:        777
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    194860
% 288.95/289.42  Kept:         55702
% 288.95/289.42  Inuse:        796
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    206416
% 288.95/289.42  Kept:         57737
% 288.95/289.42  Inuse:        809
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    216104
% 288.95/289.42  Kept:         59872
% 288.95/289.42  Inuse:        815
% 288.95/289.42  Deleted:      3446
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying clauses:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    224003
% 288.95/289.42  Kept:         61947
% 288.95/289.42  Inuse:        821
% 288.95/289.42  Deleted:      4229
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    235660
% 288.95/289.42  Kept:         65245
% 288.95/289.42  Inuse:        830
% 288.95/289.42  Deleted:      4229
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    247498
% 288.95/289.42  Kept:         68049
% 288.95/289.42  Inuse:        840
% 288.95/289.42  Deleted:      4229
% 288.95/289.42  Deletedinuse: 70
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    258115
% 288.95/289.42  Kept:         70421
% 288.95/289.42  Inuse:        850
% 288.95/289.42  Deleted:      4267
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    270543
% 288.95/289.42  Kept:         72452
% 288.95/289.42  Inuse:        857
% 288.95/289.42  Deleted:      4267
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    279999
% 288.95/289.42  Kept:         75541
% 288.95/289.42  Inuse:        865
% 288.95/289.42  Deleted:      4267
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    289452
% 288.95/289.42  Kept:         78474
% 288.95/289.42  Inuse:        875
% 288.95/289.42  Deleted:      4267
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    300162
% 288.95/289.42  Kept:         81368
% 288.95/289.42  Inuse:        885
% 288.95/289.42  Deleted:      4267
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying clauses:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    311078
% 288.95/289.42  Kept:         83955
% 288.95/289.42  Inuse:        895
% 288.95/289.42  Deleted:      9694
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    322171
% 288.95/289.42  Kept:         86879
% 288.95/289.42  Inuse:        905
% 288.95/289.42  Deleted:      9694
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    334651
% 288.95/289.42  Kept:         90388
% 288.95/289.42  Inuse:        915
% 288.95/289.42  Deleted:      9694
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    347457
% 288.95/289.42  Kept:         93585
% 288.95/289.42  Inuse:        925
% 288.95/289.42  Deleted:      9694
% 288.95/289.42  Deletedinuse: 108
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  Resimplifying inuse:
% 288.95/289.42  Done
% 288.95/289.42  
% 288.95/289.42  
% 288.95/289.42  Intermediate Status:
% 288.95/289.42  Generated:    360234
% 288.95/289.42  Kept:         970Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------