TSTP Solution File: SET088-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET088-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 22:46:51 EDT 2022

% Result   : Timeout 300.05s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET088-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n005.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 02:51:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/1.08  *** allocated 10000 integers for termspace/termends
% 0.68/1.08  *** allocated 10000 integers for clauses
% 0.68/1.08  *** allocated 10000 integers for justifications
% 0.68/1.08  Bliksem 1.12
% 0.68/1.08  
% 0.68/1.08  
% 0.68/1.08  Automatic Strategy Selection
% 0.68/1.08  
% 0.68/1.08  Clauses:
% 0.68/1.08  [
% 0.68/1.08     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.68/1.08     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.68/1.08     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ subclass( X, 'universal_class' ) ],
% 0.68/1.08     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.68/1.08     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.68/1.08     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.68/1.08     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.68/1.08     ) ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.68/1.08     ) ) ],
% 0.68/1.08     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.68/1.08     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.68/1.08     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.68/1.08     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.68/1.08    X, Z ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.68/1.08    Y, T ) ],
% 0.68/1.08     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.68/1.08     ), 'cross_product'( Y, T ) ) ],
% 0.68/1.08     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.68/1.08     ), second( X ) ), X ) ],
% 0.68/1.08     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.68/1.08    'universal_class' ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.68/1.08    Y ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.68/1.08    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.68/1.08    , Y ), 'element_relation' ) ],
% 0.68/1.08     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.68/1.08     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.68/1.08     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.68/1.08    Z ) ) ],
% 0.68/1.08     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.68/1.08    member( X, Y ) ],
% 0.68/1.08     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.68/1.08    union( X, Y ) ) ],
% 0.68/1.08     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.68/1.08    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.68/1.08    'symmetric_difference'( X, Y ) ) ],
% 0.68/1.08     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.68/1.08     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.68/1.08    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.68/1.08     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.68/1.08    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.68/1.08     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.68/1.08    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.68/1.08    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.68/1.08    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.68/1.08    Y ), rotate( T ) ) ],
% 0.68/1.08     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.68/1.08    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.68/1.08    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.68/1.08    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.68/1.08    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.68/1.08    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.68/1.08    Z ), flip( T ) ) ],
% 0.68/1.08     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.68/1.08    inverse( X ) ) ],
% 0.68/1.08     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.68/1.08     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.68/1.08    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.68/1.08     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.68/1.08    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.68/1.08     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.68/1.08     ],
% 0.68/1.08     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.68/1.08     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.68/1.08    'universal_class' ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.68/1.08    successor( X ), Y ) ],
% 0.68/1.08     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.68/1.08    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.68/1.08    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.68/1.08     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.68/1.08     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.68/1.08    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.68/1.08     [ inductive( omega ) ],
% 0.68/1.08     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.68/1.08     [ member( omega, 'universal_class' ) ],
% 0.68/1.08     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.68/1.08    , 'sum_class'( X ) ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.68/1.08    'universal_class' ) ],
% 0.68/1.08     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.68/1.08    'power_class'( X ) ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.68/1.08    'universal_class' ) ],
% 0.68/1.08     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.68/1.08    'universal_class' ) ) ],
% 0.68/1.08     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.68/1.08    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.68/1.08     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.68/1.08    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.68/1.08    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.68/1.08     ) ],
% 0.68/1.08     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.68/1.08    , 'identity_relation' ) ],
% 0.68/1.08     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.68/1.08    'single_valued_class'( X ) ],
% 0.68/1.08     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.68/1.08    'universal_class' ) ) ],
% 0.68/1.08     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.68/1.08    'identity_relation' ) ],
% 0.68/1.08     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.08     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.68/1.08    , function( X ) ],
% 0.68/1.08     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.68/1.08    X, Y ), 'universal_class' ) ],
% 0.68/1.08     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.68/1.08     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.68/1.08     ) ],
% 0.68/1.08     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.68/1.08     [ function( choice ) ],
% 0.68/1.08     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.68/1.08    apply( choice, X ), X ) ],
% 0.68/1.08     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.68/1.08     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.68/1.08     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.68/1.08    ,
% 0.68/1.08     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.68/1.08     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.68/1.08    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.68/1.08    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.68/1.08     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.68/1.08    'identity_relation' ) ],
% 0.68/1.08     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.68/1.08    , diagonalise( X ) ) ],
% 0.68/1.08     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.68/1.08    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.68/1.08     [ ~( operation( X ) ), function( X ) ],
% 0.68/1.08     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.68/1.08     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.68/1.08     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.94/5.36    'domain_of'( X ) ) ) ],
% 4.94/5.36     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.94/5.36     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.94/5.36    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.94/5.36    X ) ],
% 4.94/5.36     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.94/5.36     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.94/5.36    'domain_of'( X ) ) ],
% 4.94/5.36     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.94/5.36    'domain_of'( Z ) ) ) ],
% 4.94/5.36     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.94/5.36    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.94/5.36     ), compatible( X, Y, Z ) ],
% 4.94/5.36     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.94/5.36     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.94/5.36     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.94/5.36     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.94/5.36    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.94/5.36    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.94/5.36     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.94/5.36    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.94/5.36    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.94/5.36    , Y ) ],
% 4.94/5.36     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.94/5.36    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.94/5.36     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.94/5.36    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.94/5.36    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.94/5.36     [ ~( member( 'member_of'( x ), 'universal_class' ) ) ],
% 4.94/5.36     [ ~( =( 'member_of'( x ), x ) ) ]
% 4.94/5.36  ] .
% 4.94/5.36  
% 4.94/5.36  
% 4.94/5.36  percentage equality = 0.218579, percentage horn = 0.913978
% 4.94/5.36  This is a problem with some equality
% 4.94/5.36  
% 4.94/5.36  
% 4.94/5.36  
% 4.94/5.36  Options Used:
% 4.94/5.36  
% 4.94/5.36  useres =            1
% 4.94/5.36  useparamod =        1
% 4.94/5.36  useeqrefl =         1
% 4.94/5.36  useeqfact =         1
% 4.94/5.36  usefactor =         1
% 4.94/5.36  usesimpsplitting =  0
% 4.94/5.36  usesimpdemod =      5
% 4.94/5.36  usesimpres =        3
% 4.94/5.36  
% 4.94/5.36  resimpinuse      =  1000
% 4.94/5.36  resimpclauses =     20000
% 4.94/5.36  substype =          eqrewr
% 4.94/5.36  backwardsubs =      1
% 4.94/5.36  selectoldest =      5
% 4.94/5.36  
% 4.94/5.36  litorderings [0] =  split
% 4.94/5.36  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.94/5.36  
% 4.94/5.36  termordering =      kbo
% 4.94/5.36  
% 4.94/5.36  litapriori =        0
% 4.94/5.36  termapriori =       1
% 4.94/5.36  litaposteriori =    0
% 4.94/5.36  termaposteriori =   0
% 4.94/5.36  demodaposteriori =  0
% 4.94/5.36  ordereqreflfact =   0
% 4.94/5.36  
% 4.94/5.36  litselect =         negord
% 4.94/5.36  
% 4.94/5.36  maxweight =         15
% 4.94/5.36  maxdepth =          30000
% 4.94/5.36  maxlength =         115
% 4.94/5.36  maxnrvars =         195
% 4.94/5.36  excuselevel =       1
% 4.94/5.36  increasemaxweight = 1
% 4.94/5.36  
% 4.94/5.36  maxselected =       10000000
% 4.94/5.36  maxnrclauses =      10000000
% 4.94/5.36  
% 4.94/5.36  showgenerated =    0
% 4.94/5.36  showkept =         0
% 4.94/5.36  showselected =     0
% 4.94/5.36  showdeleted =      0
% 4.94/5.36  showresimp =       1
% 4.94/5.36  showstatus =       2000
% 4.94/5.36  
% 4.94/5.36  prologoutput =     1
% 4.94/5.36  nrgoals =          5000000
% 4.94/5.36  totalproof =       1
% 4.94/5.36  
% 4.94/5.36  Symbols occurring in the translation:
% 4.94/5.36  
% 4.94/5.36  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.94/5.36  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 4.94/5.36  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 4.94/5.36  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.94/5.36  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.94/5.36  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.94/5.36  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.94/5.36  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.94/5.36  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.94/5.36  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.94/5.36  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 4.94/5.36  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.94/5.36  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.94/5.36  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.94/5.36  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.94/5.36  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.94/5.36  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.94/5.36  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.94/5.36  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.94/5.36  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.94/5.36  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 4.94/5.36  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 4.94/5.36  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 85.83/86.20  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 85.83/86.20  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 85.83/86.20  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 85.83/86.20  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 85.83/86.20  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 85.83/86.20  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 85.83/86.20  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 85.83/86.20  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 85.83/86.20  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 85.83/86.20  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 85.83/86.20  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 85.83/86.20  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 85.83/86.20  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 85.83/86.20  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 85.83/86.20  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 85.83/86.20  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 85.83/86.20  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 85.83/86.20  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 85.83/86.20  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 85.83/86.20  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 85.83/86.20  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 85.83/86.20  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 85.83/86.20  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 85.83/86.20  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 85.83/86.20  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 85.83/86.20  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 85.83/86.20  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 85.83/86.20  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 85.83/86.20  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 85.83/86.20  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 85.83/86.20  'member_of'  [99, 1]      (w:1, o:55, a:1, s:1, b:0).
% 85.83/86.20  
% 85.83/86.20  
% 85.83/86.20  Starting Search:
% 85.83/86.20  
% 85.83/86.20  Resimplifying inuse:
% 85.83/86.20  Done
% 85.83/86.20  
% 85.83/86.20  
% 85.83/86.20  Intermediate Status:
% 85.83/86.20  Generated:    4536
% 85.83/86.20  Kept:         2019
% 85.83/86.20  Inuse:        104
% 85.83/86.20  Deleted:      5
% 85.83/86.20  Deletedinuse: 3
% 85.83/86.20  
% 85.83/86.20  Resimplifying inuse:
% 85.83/86.20  Done
% 85.83/86.20  
% 85.83/86.20  Resimplifying inuse:
% 85.83/86.20  Done
% 85.83/86.20  
% 85.83/86.20  
% 85.83/86.20  Intermediate Status:
% 85.83/86.20  Generated:    9158
% 85.83/86.20  Kept:         4034
% 85.83/86.20  Inuse:        185
% 85.83/86.20  Deleted:      14
% 85.83/86.20  Deletedinuse: 6
% 85.83/86.20  
% 85.83/86.20  Resimplifying inuse:
% 85.83/86.20  Done
% 85.83/86.20  
% 85.83/86.20  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    13024
% 85.83/86.21  Kept:         6059
% 85.83/86.21  Inuse:        238
% 85.83/86.21  Deleted:      16
% 85.83/86.21  Deletedinuse: 6
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    17833
% 85.83/86.21  Kept:         8172
% 85.83/86.21  Inuse:        289
% 85.83/86.21  Deleted:      77
% 85.83/86.21  Deletedinuse: 65
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    24339
% 85.83/86.21  Kept:         11069
% 85.83/86.21  Inuse:        367
% 85.83/86.21  Deleted:      88
% 85.83/86.21  Deletedinuse: 74
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    30313
% 85.83/86.21  Kept:         13158
% 85.83/86.21  Inuse:        377
% 85.83/86.21  Deleted:      94
% 85.83/86.21  Deletedinuse: 80
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    35864
% 85.83/86.21  Kept:         15247
% 85.83/86.21  Inuse:        432
% 85.83/86.21  Deleted:      94
% 85.83/86.21  Deletedinuse: 80
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    42385
% 85.83/86.21  Kept:         17558
% 85.83/86.21  Inuse:        487
% 85.83/86.21  Deleted:      99
% 85.83/86.21  Deletedinuse: 85
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    48684
% 85.83/86.21  Kept:         19582
% 85.83/86.21  Inuse:        518
% 85.83/86.21  Deleted:      99
% 85.83/86.21  Deletedinuse: 85
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying clauses:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    54471
% 85.83/86.21  Kept:         21602
% 85.83/86.21  Inuse:        558
% 85.83/86.21  Deleted:      3404
% 85.83/86.21  Deletedinuse: 85
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    61084
% 85.83/86.21  Kept:         23623
% 85.83/86.21  Inuse:        614
% 85.83/86.21  Deleted:      3404
% 85.83/86.21  Deletedinuse: 85
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    67366
% 85.83/86.21  Kept:         25631
% 85.83/86.21  Inuse:        657
% 85.83/86.21  Deleted:      3404
% 85.83/86.21  Deletedinuse: 85
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    78558
% 85.83/86.21  Kept:         29802
% 85.83/86.21  Inuse:        696
% 85.83/86.21  Deleted:      3414
% 85.83/86.21  Deletedinuse: 89
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  
% 85.83/86.21  Intermediate Status:
% 85.83/86.21  Generated:    83053
% 85.83/86.21  Kept:         32364
% 85.83/86.21  Inuse:        701
% 85.83/86.21  Deleted:      3414
% 85.83/86.21  Deletedinuse: 89
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 85.83/86.21  
% 85.83/86.21  Resimplifying inuse:
% 85.83/86.21  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    87783
% 263.70/264.08  Kept:         34404
% 263.70/264.08  Inuse:        708
% 263.70/264.08  Deleted:      3414
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    92570
% 263.70/264.08  Kept:         36458
% 263.70/264.08  Inuse:        715
% 263.70/264.08  Deleted:      3414
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    96870
% 263.70/264.08  Kept:         38479
% 263.70/264.08  Inuse:        717
% 263.70/264.08  Deleted:      3414
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    101499
% 263.70/264.08  Kept:         40694
% 263.70/264.08  Inuse:        721
% 263.70/264.08  Deleted:      3414
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying clauses:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    116940
% 263.70/264.08  Kept:         43841
% 263.70/264.08  Inuse:        736
% 263.70/264.08  Deleted:      3891
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    162739
% 263.70/264.08  Kept:         45903
% 263.70/264.08  Inuse:        759
% 263.70/264.08  Deleted:      3891
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    172154
% 263.70/264.08  Kept:         48412
% 263.70/264.08  Inuse:        766
% 263.70/264.08  Deleted:      3891
% 263.70/264.08  Deletedinuse: 89
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    181565
% 263.70/264.08  Kept:         50862
% 263.70/264.08  Inuse:        776
% 263.70/264.08  Deleted:      3919
% 263.70/264.08  Deletedinuse: 117
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    190656
% 263.70/264.08  Kept:         52933
% 263.70/264.08  Inuse:        787
% 263.70/264.08  Deleted:      3928
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    200242
% 263.70/264.08  Kept:         55117
% 263.70/264.08  Inuse:        796
% 263.70/264.08  Deleted:      3928
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    213809
% 263.70/264.08  Kept:         57142
% 263.70/264.08  Inuse:        806
% 263.70/264.08  Deleted:      3928
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    219061
% 263.70/264.08  Kept:         59281
% 263.70/264.08  Inuse:        811
% 263.70/264.08  Deleted:      3928
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    227722
% 263.70/264.08  Kept:         62037
% 263.70/264.08  Inuse:        821
% 263.70/264.08  Deleted:      3928
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying clauses:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    237200
% 263.70/264.08  Kept:         64495
% 263.70/264.08  Inuse:        831
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    247815
% 263.70/264.08  Kept:         67129
% 263.70/264.08  Inuse:        841
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    258545
% 263.70/264.08  Kept:         69953
% 263.70/264.08  Inuse:        851
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    269865
% 263.70/264.08  Kept:         72825
% 263.70/264.08  Inuse:        861
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    281369
% 263.70/264.08  Kept:         75688
% 263.70/264.08  Inuse:        871
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    292866
% 263.70/264.08  Kept:         78695
% 263.70/264.08  Inuse:        881
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    304769
% 263.70/264.08  Kept:         81938
% 263.70/264.08  Inuse:        891
% 263.70/264.08  Deleted:      8636
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying clauses:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    317041
% 263.70/264.08  Kept:         85035
% 263.70/264.08  Inuse:        901
% 263.70/264.08  Deleted:      9663
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    329482
% 263.70/264.08  Kept:         88385
% 263.70/264.08  Inuse:        911
% 263.70/264.08  Deleted:      9663
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    342335
% 263.70/264.08  Kept:         91853
% 263.70/264.08  Inuse:        921
% 263.70/264.08  Deleted:      9663
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    355387
% 263.70/264.08  Kept:         95142
% 263.70/264.08  Inuse:        931
% 263.70/264.08  Deleted:      9663
% 263.70/264.08  Deletedinuse: 126
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  Resimplifying inuse:
% 263.70/264.08  Done
% 263.70/264.08  
% 263.70/264.08  
% 263.70/264.08  Intermediate Status:
% 263.70/264.08  Generated:    368401
% 263.70/264.08  Kept:   Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------