TSTP Solution File: SET113-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET113-6 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 22:47:16 EDT 2022

% Result   : Timeout 300.07s 300.45s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET113-6 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Mon Jul 11 06:52:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/1.10  *** allocated 10000 integers for termspace/termends
% 0.43/1.10  *** allocated 10000 integers for clauses
% 0.43/1.10  *** allocated 10000 integers for justifications
% 0.43/1.10  Bliksem 1.12
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  Automatic Strategy Selection
% 0.43/1.10  
% 0.43/1.10  Clauses:
% 0.43/1.10  [
% 0.43/1.10     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.43/1.10     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.43/1.10     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ subclass( X, 'universal_class' ) ],
% 0.43/1.10     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.43/1.10     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.43/1.10     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.43/1.10     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.43/1.10     ) ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.43/1.10     ) ) ],
% 0.43/1.10     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.43/1.10     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.43/1.10     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.43/1.10     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.43/1.10    X, Z ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.43/1.10    Y, T ) ],
% 0.43/1.10     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.43/1.10     ), 'cross_product'( Y, T ) ) ],
% 0.43/1.10     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.43/1.10     ), second( X ) ), X ) ],
% 0.43/1.10     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.43/1.10    'universal_class' ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.43/1.10    Y ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.43/1.10    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.43/1.10    , Y ), 'element_relation' ) ],
% 0.43/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.43/1.10     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.43/1.10     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.43/1.10    Z ) ) ],
% 0.43/1.10     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.43/1.10    member( X, Y ) ],
% 0.43/1.10     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.43/1.10    union( X, Y ) ) ],
% 0.43/1.10     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.43/1.10    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.43/1.10    'symmetric_difference'( X, Y ) ) ],
% 0.43/1.10     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.43/1.10     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.43/1.10    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.43/1.10     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.43/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.43/1.10     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.43/1.10    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.43/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.43/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.43/1.10    Y ), rotate( T ) ) ],
% 0.43/1.10     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.43/1.10    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.43/1.10    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.43/1.10    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.43/1.10    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.43/1.10    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.43/1.10    Z ), flip( T ) ) ],
% 0.43/1.10     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.43/1.10    inverse( X ) ) ],
% 0.43/1.10     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.43/1.10     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.43/1.10    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.43/1.10     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.43/1.10    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.43/1.10     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.43/1.10     ],
% 0.43/1.10     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.43/1.10     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.43/1.10    'universal_class' ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.43/1.10    successor( X ), Y ) ],
% 0.43/1.10     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.43/1.10    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.43/1.10    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.43/1.10     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.43/1.10     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.43/1.10    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.43/1.10     [ inductive( omega ) ],
% 0.43/1.10     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.43/1.10     [ member( omega, 'universal_class' ) ],
% 0.43/1.10     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.43/1.10    , 'sum_class'( X ) ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.43/1.10    'universal_class' ) ],
% 0.43/1.10     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.43/1.10    'power_class'( X ) ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.43/1.10    'universal_class' ) ],
% 0.43/1.10     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.43/1.10    'universal_class' ) ) ],
% 0.43/1.10     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.43/1.10    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.43/1.10     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.43/1.10    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.43/1.10    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.43/1.10     ) ],
% 0.43/1.10     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.43/1.10    , 'identity_relation' ) ],
% 0.43/1.10     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.43/1.10    'single_valued_class'( X ) ],
% 0.43/1.10     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.43/1.10    'universal_class' ) ) ],
% 0.43/1.10     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.43/1.10    'identity_relation' ) ],
% 0.43/1.10     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.43/1.10     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.43/1.10    , function( X ) ],
% 0.43/1.10     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.43/1.10    X, Y ), 'universal_class' ) ],
% 0.43/1.10     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.43/1.10     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.43/1.10     ) ],
% 0.43/1.10     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.43/1.10     [ function( choice ) ],
% 0.43/1.10     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.43/1.10    apply( choice, X ), X ) ],
% 0.43/1.10     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.43/1.10     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.43/1.10     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.43/1.10    ,
% 0.43/1.10     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.43/1.10     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.43/1.10    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.43/1.10    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.43/1.10     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.43/1.10    'identity_relation' ) ],
% 0.43/1.10     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.43/1.10    , diagonalise( X ) ) ],
% 0.43/1.10     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.43/1.10    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.43/1.10     [ ~( operation( X ) ), function( X ) ],
% 0.43/1.10     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.43/1.10     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.43/1.10     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.81/5.17    'domain_of'( X ) ) ) ],
% 4.81/5.17     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.81/5.17     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.81/5.17    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.81/5.17    X ) ],
% 4.81/5.17     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.81/5.17     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.81/5.17    'domain_of'( X ) ) ],
% 4.81/5.17     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.81/5.17    'domain_of'( Z ) ) ) ],
% 4.81/5.17     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.81/5.17    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.81/5.17     ), compatible( X, Y, Z ) ],
% 4.81/5.17     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.81/5.17     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.81/5.17     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.81/5.17     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.81/5.17    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.81/5.17    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.81/5.17     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.81/5.17    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.81/5.17    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.81/5.17    , Y ) ],
% 4.81/5.17     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.81/5.17    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.81/5.17     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.81/5.17    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.81/5.17    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.81/5.17     [ ~( member( 'ordered_pair'( first( x ), second( x ) ), 'cross_product'( 
% 4.81/5.17    'universal_class', 'universal_class' ) ) ) ],
% 4.81/5.17     [ ~( =( first( x ), x ) ) ]
% 4.81/5.17  ] .
% 4.81/5.17  
% 4.81/5.17  
% 4.81/5.17  percentage equality = 0.218579, percentage horn = 0.913978
% 4.81/5.17  This is a problem with some equality
% 4.81/5.17  
% 4.81/5.17  
% 4.81/5.17  
% 4.81/5.17  Options Used:
% 4.81/5.17  
% 4.81/5.17  useres =            1
% 4.81/5.17  useparamod =        1
% 4.81/5.17  useeqrefl =         1
% 4.81/5.17  useeqfact =         1
% 4.81/5.17  usefactor =         1
% 4.81/5.17  usesimpsplitting =  0
% 4.81/5.17  usesimpdemod =      5
% 4.81/5.17  usesimpres =        3
% 4.81/5.17  
% 4.81/5.17  resimpinuse      =  1000
% 4.81/5.17  resimpclauses =     20000
% 4.81/5.17  substype =          eqrewr
% 4.81/5.17  backwardsubs =      1
% 4.81/5.17  selectoldest =      5
% 4.81/5.17  
% 4.81/5.17  litorderings [0] =  split
% 4.81/5.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.81/5.17  
% 4.81/5.17  termordering =      kbo
% 4.81/5.17  
% 4.81/5.17  litapriori =        0
% 4.81/5.17  termapriori =       1
% 4.81/5.17  litaposteriori =    0
% 4.81/5.17  termaposteriori =   0
% 4.81/5.17  demodaposteriori =  0
% 4.81/5.17  ordereqreflfact =   0
% 4.81/5.17  
% 4.81/5.17  litselect =         negord
% 4.81/5.17  
% 4.81/5.17  maxweight =         15
% 4.81/5.17  maxdepth =          30000
% 4.81/5.17  maxlength =         115
% 4.81/5.17  maxnrvars =         195
% 4.81/5.17  excuselevel =       1
% 4.81/5.17  increasemaxweight = 1
% 4.81/5.17  
% 4.81/5.17  maxselected =       10000000
% 4.81/5.17  maxnrclauses =      10000000
% 4.81/5.17  
% 4.81/5.17  showgenerated =    0
% 4.81/5.17  showkept =         0
% 4.81/5.17  showselected =     0
% 4.81/5.17  showdeleted =      0
% 4.81/5.17  showresimp =       1
% 4.81/5.17  showstatus =       2000
% 4.81/5.17  
% 4.81/5.17  prologoutput =     1
% 4.81/5.17  nrgoals =          5000000
% 4.81/5.17  totalproof =       1
% 4.81/5.17  
% 4.81/5.17  Symbols occurring in the translation:
% 4.81/5.17  
% 4.81/5.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.81/5.17  .  [1, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 4.81/5.17  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 4.81/5.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.81/5.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.81/5.17  subclass  [41, 2]      (w:1, o:80, a:1, s:1, b:0), 
% 4.81/5.17  member  [43, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.81/5.17  'not_subclass_element'  [44, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.81/5.17  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.81/5.17  'unordered_pair'  [46, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.81/5.17  singleton  [47, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 4.81/5.17  'ordered_pair'  [48, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.81/5.17  'cross_product'  [50, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.81/5.17  first  [52, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.81/5.17  second  [53, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.81/5.17  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.81/5.17  intersection  [55, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 4.81/5.17  complement  [56, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.81/5.17  union  [57, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.81/5.17  'symmetric_difference'  [58, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.81/5.17  restrict  [60, 3]      (w:1, o:92, a:1, s:1, b:0), 
% 4.81/5.17  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 92.01/92.40  'domain_of'  [62, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 92.01/92.40  rotate  [63, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 92.01/92.40  flip  [65, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 92.01/92.40  inverse  [66, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 92.01/92.40  'range_of'  [67, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 92.01/92.40  domain  [68, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 92.01/92.40  range  [69, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 92.01/92.40  image  [70, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 92.01/92.40  successor  [71, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 92.01/92.40  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 92.01/92.40  inductive  [73, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 92.01/92.40  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 92.01/92.40  'sum_class'  [75, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 92.01/92.40  'power_class'  [76, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 92.01/92.40  compose  [78, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 92.01/92.40  'single_valued_class'  [79, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 92.01/92.40  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 92.01/92.40  function  [82, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 92.01/92.40  regular  [83, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 92.01/92.40  apply  [84, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 92.01/92.40  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 92.01/92.40  'one_to_one'  [86, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 92.01/92.40  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 92.01/92.40  diagonalise  [88, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 92.01/92.40  cantor  [89, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 92.01/92.40  operation  [90, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 92.01/92.40  compatible  [94, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 92.01/92.40  homomorphism  [95, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 92.01/92.40  'not_homomorphism1'  [96, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 92.01/92.40  'not_homomorphism2'  [97, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 92.01/92.40  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0).
% 92.01/92.40  
% 92.01/92.40  
% 92.01/92.40  Starting Search:
% 92.01/92.40  
% 92.01/92.40  Resimplifying inuse:
% 92.01/92.40  Done
% 92.01/92.40  
% 92.01/92.40  
% 92.01/92.40  Intermediate Status:
% 92.01/92.40  Generated:    4921
% 92.01/92.40  Kept:         2000
% 92.01/92.40  Inuse:        100
% 92.01/92.40  Deleted:      8
% 92.01/92.40  Deletedinuse: 2
% 92.01/92.40  
% 92.01/92.40  Resimplifying inuse:
% 92.01/92.40  Done
% 92.01/92.40  
% 92.01/92.40  Resimplifying inuse:
% 92.01/92.40  Done
% 92.01/92.40  
% 92.01/92.40  
% 92.01/92.40  Intermediate Status:
% 92.01/92.40  Generated:    9545
% 92.01/92.40  Kept:         4011
% 92.01/92.40  Inuse:        181
% 92.01/92.40  Deleted:      19
% 92.01/92.40  Deletedinuse: 7
% 92.01/92.40  
% 92.01/92.40  Resimplifying inuse:
% 92.01/92.40  Done
% 92.01/92.40  
% 92.01/92.40  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    13399
% 92.01/92.41  Kept:         6035
% 92.01/92.41  Inuse:        234
% 92.01/92.41  Deleted:      22
% 92.01/92.41  Deletedinuse: 8
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    18200
% 92.01/92.41  Kept:         8120
% 92.01/92.41  Inuse:        285
% 92.01/92.41  Deleted:      80
% 92.01/92.41  Deletedinuse: 64
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    24957
% 92.01/92.41  Kept:         11107
% 92.01/92.41  Inuse:        368
% 92.01/92.41  Deleted:      91
% 92.01/92.41  Deletedinuse: 73
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    31061
% 92.01/92.41  Kept:         13240
% 92.01/92.41  Inuse:        378
% 92.01/92.41  Deleted:      97
% 92.01/92.41  Deletedinuse: 79
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    36512
% 92.01/92.41  Kept:         15263
% 92.01/92.41  Inuse:        432
% 92.01/92.41  Deleted:      97
% 92.01/92.41  Deletedinuse: 79
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    40938
% 92.01/92.41  Kept:         17285
% 92.01/92.41  Inuse:        484
% 92.01/92.41  Deleted:      99
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    47301
% 92.01/92.41  Kept:         19307
% 92.01/92.41  Inuse:        505
% 92.01/92.41  Deleted:      99
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying clauses:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    53919
% 92.01/92.41  Kept:         21355
% 92.01/92.41  Inuse:        546
% 92.01/92.41  Deleted:      3287
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    60277
% 92.01/92.41  Kept:         23409
% 92.01/92.41  Inuse:        599
% 92.01/92.41  Deleted:      3287
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    66609
% 92.01/92.41  Kept:         25442
% 92.01/92.41  Inuse:        645
% 92.01/92.41  Deleted:      3287
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    75369
% 92.01/92.41  Kept:         27463
% 92.01/92.41  Inuse:        687
% 92.01/92.41  Deleted:      3293
% 92.01/92.41  Deletedinuse: 81
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 92.01/92.41  Generated:    79838
% 92.01/92.41  Kept:         30028
% 92.01/92.41  Inuse:        692
% 92.01/92.41  Deleted:      3297
% 92.01/92.41  Deletedinuse: 85
% 92.01/92.41  
% 92.01/92.41  Resimplifying inuse:
% 92.01/92.41  Done
% 92.01/92.41  
% 92.01/92.41  
% 92.01/92.41  Intermediate Status:
% 258.36/258.75  Generated:    84381
% 258.36/258.75  Kept:         32623
% 258.36/258.75  Inuse:        697
% 258.36/258.75  Deleted:      3297
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    89007
% 258.36/258.75  Kept:         34633
% 258.36/258.75  Inuse:        703
% 258.36/258.75  Deleted:      3297
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    93705
% 258.36/258.75  Kept:         36669
% 258.36/258.75  Inuse:        709
% 258.36/258.75  Deleted:      3297
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    98155
% 258.36/258.75  Kept:         38781
% 258.36/258.75  Inuse:        712
% 258.36/258.75  Deleted:      3297
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    102984
% 258.36/258.75  Kept:         41096
% 258.36/258.75  Inuse:        717
% 258.36/258.75  Deleted:      3297
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying clauses:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    118481
% 258.36/258.75  Kept:         44211
% 258.36/258.75  Inuse:        732
% 258.36/258.75  Deleted:      3774
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    164617
% 258.36/258.75  Kept:         46329
% 258.36/258.75  Inuse:        756
% 258.36/258.75  Deleted:      3774
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    173717
% 258.36/258.75  Kept:         48790
% 258.36/258.75  Inuse:        762
% 258.36/258.75  Deleted:      3774
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    184295
% 258.36/258.75  Kept:         51751
% 258.36/258.75  Inuse:        772
% 258.36/258.75  Deleted:      3774
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    194824
% 258.36/258.75  Kept:         53949
% 258.36/258.75  Inuse:        782
% 258.36/258.75  Deleted:      3774
% 258.36/258.75  Deletedinuse: 85
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    204002
% 258.36/258.75  Kept:         56013
% 258.36/258.75  Inuse:        793
% 258.36/258.75  Deleted:      3811
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    217919
% 258.36/258.75  Kept:         58240
% 258.36/258.75  Inuse:        802
% 258.36/258.75  Deleted:      3811
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    227307
% 258.36/258.75  Kept:         60796
% 258.36/258.75  Inuse:        812
% 258.36/258.75  Deleted:      3811
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying clauses:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    236165
% 258.36/258.75  Kept:         62817
% 258.36/258.75  Inuse:        826
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    245074
% 258.36/258.75  Kept:         64940
% 258.36/258.75  Inuse:        832
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    257008
% 258.36/258.75  Kept:         67014
% 258.36/258.75  Inuse:        846
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    272363
% 258.36/258.75  Kept:         70647
% 258.36/258.75  Inuse:        857
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    283292
% 258.36/258.75  Kept:         73954
% 258.36/258.75  Inuse:        867
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    294966
% 258.36/258.75  Kept:         76983
% 258.36/258.75  Inuse:        877
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    306923
% 258.36/258.75  Kept:         79888
% 258.36/258.75  Inuse:        887
% 258.36/258.75  Deleted:      8738
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying clauses:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    318889
% 258.36/258.75  Kept:         82540
% 258.36/258.75  Inuse:        897
% 258.36/258.75  Deleted:      9757
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    331620
% 258.36/258.75  Kept:         85556
% 258.36/258.75  Inuse:        907
% 258.36/258.75  Deleted:      9757
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    344361
% 258.36/258.75  Kept:         88636
% 258.36/258.75  Inuse:        917
% 258.36/258.75  Deleted:      9757
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  Generated:    357069
% 258.36/258.75  Kept:         91430
% 258.36/258.75  Inuse:        927
% 258.36/258.75  Deleted:      9757
% 258.36/258.75  Deletedinuse: 122
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  Resimplifying inuse:
% 258.36/258.75  Done
% 258.36/258.75  
% 258.36/258.75  
% 258.36/258.75  Intermediate Status:
% 258.36/258.75  GCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------