TSTP Solution File: SET086-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET086-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 22:46:49 EDT 2022

% Result   : Timeout 300.04s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET086-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Sun Jul 10 20:41:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.76/1.16  *** allocated 10000 integers for termspace/termends
% 0.76/1.16  *** allocated 10000 integers for clauses
% 0.76/1.16  *** allocated 10000 integers for justifications
% 0.76/1.16  Bliksem 1.12
% 0.76/1.16  
% 0.76/1.16  
% 0.76/1.16  Automatic Strategy Selection
% 0.76/1.16  
% 0.76/1.16  Clauses:
% 0.76/1.16  [
% 0.76/1.16     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.76/1.16     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.76/1.16     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ subclass( X, 'universal_class' ) ],
% 0.76/1.16     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.76/1.16     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.76/1.16     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.76/1.16     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.76/1.16     ) ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.76/1.16     ) ) ],
% 0.76/1.16     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.76/1.16     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.76/1.16     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.76/1.16     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.76/1.16    X, Z ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.76/1.16    Y, T ) ],
% 0.76/1.16     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.76/1.16     ), 'cross_product'( Y, T ) ) ],
% 0.76/1.16     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.76/1.16     ), second( X ) ), X ) ],
% 0.76/1.16     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.76/1.16    'universal_class' ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.76/1.16    Y ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.76/1.16    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.76/1.16    , Y ), 'element_relation' ) ],
% 0.76/1.16     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.76/1.16     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.76/1.16     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.76/1.16    Z ) ) ],
% 0.76/1.16     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.76/1.16    member( X, Y ) ],
% 0.76/1.16     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.76/1.16    union( X, Y ) ) ],
% 0.76/1.16     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.76/1.16    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.76/1.16    'symmetric_difference'( X, Y ) ) ],
% 0.76/1.16     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.76/1.16     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.76/1.16    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.76/1.16     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.76/1.16    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.76/1.16     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.76/1.16    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.76/1.16    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.76/1.16    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.76/1.16    Y ), rotate( T ) ) ],
% 0.76/1.16     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.76/1.16    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.76/1.16    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.76/1.16    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.76/1.16    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.76/1.16    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.76/1.16    Z ), flip( T ) ) ],
% 0.76/1.16     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.76/1.16    inverse( X ) ) ],
% 0.76/1.16     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.76/1.16     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.76/1.16    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.76/1.16     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.76/1.16    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.76/1.16     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.76/1.16     ],
% 0.76/1.16     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.76/1.16     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.76/1.16    'universal_class' ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.76/1.16    successor( X ), Y ) ],
% 0.76/1.16     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.76/1.16    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.76/1.16    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.76/1.16     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.76/1.16     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.76/1.16    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.76/1.16     [ inductive( omega ) ],
% 0.76/1.16     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.76/1.16     [ member( omega, 'universal_class' ) ],
% 0.76/1.16     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.76/1.16    , 'sum_class'( X ) ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.76/1.16    'universal_class' ) ],
% 0.76/1.16     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.76/1.16    'power_class'( X ) ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.76/1.16    'universal_class' ) ],
% 0.76/1.16     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.76/1.16    'universal_class' ) ) ],
% 0.76/1.16     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.76/1.16    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.76/1.16     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.76/1.16    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.76/1.16    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.76/1.16     ) ],
% 0.76/1.16     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.76/1.16    , 'identity_relation' ) ],
% 0.76/1.16     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.76/1.16    'single_valued_class'( X ) ],
% 0.76/1.16     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.76/1.16    'universal_class' ) ) ],
% 0.76/1.16     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.76/1.16    'identity_relation' ) ],
% 0.76/1.16     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.76/1.16     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.76/1.16    , function( X ) ],
% 0.76/1.16     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.76/1.16    X, Y ), 'universal_class' ) ],
% 0.76/1.16     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.76/1.16     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.76/1.16     ) ],
% 0.76/1.16     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.76/1.16     [ function( choice ) ],
% 0.76/1.16     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.76/1.16    apply( choice, X ), X ) ],
% 0.76/1.16     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.76/1.16     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.76/1.16     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.76/1.16    ,
% 0.76/1.16     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.76/1.16     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.76/1.16    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.76/1.16    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.76/1.16     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.76/1.16    'identity_relation' ) ],
% 0.76/1.16     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.76/1.16    , diagonalise( X ) ) ],
% 0.76/1.16     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.76/1.16    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.76/1.16     [ ~( operation( X ) ), function( X ) ],
% 0.76/1.16     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.76/1.16     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.76/1.16     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.38/5.74    'domain_of'( X ) ) ) ],
% 5.38/5.74     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.38/5.74     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.38/5.74    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.38/5.74    X ) ],
% 5.38/5.74     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.38/5.74     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.38/5.74    'domain_of'( X ) ) ],
% 5.38/5.74     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.38/5.74    'domain_of'( Z ) ) ) ],
% 5.38/5.74     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.38/5.74    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.38/5.74     ), compatible( X, Y, Z ) ],
% 5.38/5.74     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.38/5.74     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.38/5.74     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.38/5.74     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.38/5.74    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.38/5.74    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.38/5.74     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.38/5.74    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.38/5.74    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.38/5.74    , Y ) ],
% 5.38/5.74     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.38/5.74    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.38/5.74     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.38/5.74    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.38/5.74    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.38/5.74     [ member( y, 'universal_class' ) ],
% 5.38/5.74     [ ~( member( 'member_of'( singleton( y ) ), 'universal_class' ) ) ]
% 5.38/5.74  ] .
% 5.38/5.74  
% 5.38/5.74  
% 5.38/5.74  percentage equality = 0.213115, percentage horn = 0.913978
% 5.38/5.74  This is a problem with some equality
% 5.38/5.74  
% 5.38/5.74  
% 5.38/5.74  
% 5.38/5.74  Options Used:
% 5.38/5.74  
% 5.38/5.74  useres =            1
% 5.38/5.74  useparamod =        1
% 5.38/5.74  useeqrefl =         1
% 5.38/5.74  useeqfact =         1
% 5.38/5.74  usefactor =         1
% 5.38/5.74  usesimpsplitting =  0
% 5.38/5.74  usesimpdemod =      5
% 5.38/5.74  usesimpres =        3
% 5.38/5.74  
% 5.38/5.74  resimpinuse      =  1000
% 5.38/5.74  resimpclauses =     20000
% 5.38/5.74  substype =          eqrewr
% 5.38/5.74  backwardsubs =      1
% 5.38/5.74  selectoldest =      5
% 5.38/5.74  
% 5.38/5.74  litorderings [0] =  split
% 5.38/5.74  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.38/5.74  
% 5.38/5.74  termordering =      kbo
% 5.38/5.74  
% 5.38/5.74  litapriori =        0
% 5.38/5.74  termapriori =       1
% 5.38/5.74  litaposteriori =    0
% 5.38/5.74  termaposteriori =   0
% 5.38/5.74  demodaposteriori =  0
% 5.38/5.74  ordereqreflfact =   0
% 5.38/5.74  
% 5.38/5.74  litselect =         negord
% 5.38/5.74  
% 5.38/5.74  maxweight =         15
% 5.38/5.74  maxdepth =          30000
% 5.38/5.74  maxlength =         115
% 5.38/5.74  maxnrvars =         195
% 5.38/5.74  excuselevel =       1
% 5.38/5.74  increasemaxweight = 1
% 5.38/5.74  
% 5.38/5.74  maxselected =       10000000
% 5.38/5.74  maxnrclauses =      10000000
% 5.38/5.74  
% 5.38/5.74  showgenerated =    0
% 5.38/5.74  showkept =         0
% 5.38/5.74  showselected =     0
% 5.38/5.74  showdeleted =      0
% 5.38/5.74  showresimp =       1
% 5.38/5.74  showstatus =       2000
% 5.38/5.74  
% 5.38/5.74  prologoutput =     1
% 5.38/5.74  nrgoals =          5000000
% 5.38/5.74  totalproof =       1
% 5.38/5.74  
% 5.38/5.74  Symbols occurring in the translation:
% 5.38/5.74  
% 5.38/5.74  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.38/5.74  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.38/5.74  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 5.38/5.74  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.38/5.74  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.38/5.74  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.38/5.74  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.38/5.74  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.38/5.74  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.38/5.74  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.38/5.74  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 5.38/5.74  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.38/5.74  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.38/5.74  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.38/5.74  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.38/5.74  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.38/5.74  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.38/5.74  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.38/5.74  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.38/5.74  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.38/5.74  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 5.38/5.74  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 5.38/5.74  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 87.54/87.89  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 87.54/87.89  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 87.54/87.89  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 87.54/87.89  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 87.54/87.89  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 87.54/87.89  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 87.54/87.89  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 87.54/87.89  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 87.54/87.89  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 87.54/87.89  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 87.54/87.89  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 87.54/87.89  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 87.54/87.89  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 87.54/87.89  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 87.54/87.89  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 87.54/87.89  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 87.54/87.89  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 87.54/87.89  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 87.54/87.89  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 87.54/87.89  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 87.54/87.89  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 87.54/87.89  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 87.54/87.89  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 87.54/87.89  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 87.54/87.89  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 87.54/87.89  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 87.54/87.89  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 87.54/87.89  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 87.54/87.89  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 87.54/87.89  y  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 87.54/87.89  'member_of'  [99, 1]      (w:1, o:55, a:1, s:1, b:0).
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Starting Search:
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    4664
% 87.54/87.89  Kept:         2005
% 87.54/87.89  Inuse:        110
% 87.54/87.89  Deleted:      5
% 87.54/87.89  Deletedinuse: 3
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    9214
% 87.54/87.89  Kept:         4015
% 87.54/87.89  Inuse:        183
% 87.54/87.89  Deleted:      14
% 87.54/87.89  Deletedinuse: 6
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    13155
% 87.54/87.89  Kept:         6043
% 87.54/87.89  Inuse:        237
% 87.54/87.89  Deleted:      17
% 87.54/87.89  Deletedinuse: 6
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    18041
% 87.54/87.89  Kept:         8145
% 87.54/87.89  Inuse:        288
% 87.54/87.89  Deleted:      76
% 87.54/87.89  Deletedinuse: 63
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    24659
% 87.54/87.89  Kept:         11063
% 87.54/87.89  Inuse:        366
% 87.54/87.89  Deleted:      87
% 87.54/87.89  Deletedinuse: 72
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    30569
% 87.54/87.89  Kept:         13099
% 87.54/87.89  Inuse:        376
% 87.54/87.89  Deleted:      93
% 87.54/87.89  Deletedinuse: 78
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    35922
% 87.54/87.89  Kept:         15108
% 87.54/87.89  Inuse:        429
% 87.54/87.89  Deleted:      93
% 87.54/87.89  Deletedinuse: 78
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    42252
% 87.54/87.89  Kept:         17560
% 87.54/87.89  Inuse:        481
% 87.54/87.89  Deleted:      95
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    48716
% 87.54/87.89  Kept:         19565
% 87.54/87.89  Inuse:        512
% 87.54/87.89  Deleted:      95
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying clauses:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    54602
% 87.54/87.89  Kept:         21607
% 87.54/87.89  Inuse:        557
% 87.54/87.89  Deleted:      3196
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    60500
% 87.54/87.89  Kept:         23622
% 87.54/87.89  Inuse:        605
% 87.54/87.89  Deleted:      3196
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    66118
% 87.54/87.89  Kept:         25655
% 87.54/87.89  Inuse:        649
% 87.54/87.89  Deleted:      3196
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    76848
% 87.54/87.89  Kept:         29844
% 87.54/87.89  Inuse:        691
% 87.54/87.89  Deleted:      3196
% 87.54/87.89  Deletedinuse: 80
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  
% 87.54/87.89  Intermediate Status:
% 87.54/87.89  Generated:    81362
% 87.54/87.89  Kept:         32448
% 87.54/87.89  Inuse:        696
% 87.54/87.89  Deleted:      3200
% 87.54/87.89  Deletedinuse: 84
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 87.54/87.89  Done
% 87.54/87.89  
% 87.54/87.89  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    85953
% 282.41/282.87  Kept:         34464
% 282.41/282.87  Inuse:        702
% 282.41/282.87  Deleted:      3200
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    90618
% 282.41/282.87  Kept:         36502
% 282.41/282.87  Inuse:        708
% 282.41/282.87  Deleted:      3200
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    95038
% 282.41/282.87  Kept:         38614
% 282.41/282.87  Inuse:        711
% 282.41/282.87  Deleted:      3200
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    99831
% 282.41/282.87  Kept:         40930
% 282.41/282.87  Inuse:        716
% 282.41/282.87  Deleted:      3200
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying clauses:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    115479
% 282.41/282.87  Kept:         44120
% 282.41/282.87  Inuse:        731
% 282.41/282.87  Deleted:      3676
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    163924
% 282.41/282.87  Kept:         46133
% 282.41/282.87  Inuse:        755
% 282.41/282.87  Deleted:      3676
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    173109
% 282.41/282.87  Kept:         48758
% 282.41/282.87  Inuse:        761
% 282.41/282.87  Deleted:      3676
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    183496
% 282.41/282.87  Kept:         51826
% 282.41/282.87  Inuse:        771
% 282.41/282.87  Deleted:      3676
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    194320
% 282.41/282.87  Kept:         54386
% 282.41/282.87  Inuse:        781
% 282.41/282.87  Deleted:      3676
% 282.41/282.87  Deletedinuse: 84
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    204148
% 282.41/282.87  Kept:         56516
% 282.41/282.87  Inuse:        791
% 282.41/282.87  Deleted:      3705
% 282.41/282.87  Deletedinuse: 113
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    218028
% 282.41/282.87  Kept:         58639
% 282.41/282.87  Inuse:        801
% 282.41/282.87  Deleted:      3714
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    223733
% 282.41/282.87  Kept:         61000
% 282.41/282.87  Inuse:        806
% 282.41/282.87  Deleted:      3714
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying clauses:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    232983
% 282.41/282.87  Kept:         64632
% 282.41/282.87  Inuse:        816
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    242297
% 282.41/282.87  Kept:         67622
% 282.41/282.87  Inuse:        826
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    251842
% 282.41/282.87  Kept:         71490
% 282.41/282.87  Inuse:        836
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    260988
% 282.41/282.87  Kept:         74520
% 282.41/282.87  Inuse:        846
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    271468
% 282.41/282.87  Kept:         77887
% 282.41/282.87  Inuse:        856
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    282878
% 282.41/282.87  Kept:         81167
% 282.41/282.87  Inuse:        866
% 282.41/282.87  Deleted:      8653
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying clauses:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    294617
% 282.41/282.87  Kept:         84309
% 282.41/282.87  Inuse:        876
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    306352
% 282.41/282.87  Kept:         87644
% 282.41/282.87  Inuse:        886
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    313593
% 282.41/282.87  Kept:         89670
% 282.41/282.87  Inuse:        895
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    320404
% 282.41/282.87  Kept:         91833
% 282.41/282.87  Inuse:        899
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    331400
% 282.41/282.87  Kept:         94528
% 282.41/282.87  Inuse:        906
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    338713
% 282.41/282.87  Kept:         96532
% 282.41/282.87  Inuse:        915
% 282.41/282.87  Deleted:      9175
% 282.41/282.87  Deletedinuse: 122
% 282.41/282.87  
% 282.41/282.87  Resimplifying inuse:
% 282.41/282.87  Done
% 282.41/282.87  
% 282.41/282.87  
% 282.41/282.87  Intermediate Status:
% 282.41/282.87  Generated:    345409
% 282.41/282.87  Kept:         98706
% 282.41/282.87  Inuse:        919
% 282.41/282.87  Deleted:     Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------