TSTP Solution File: SET135-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET135-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 22:47:30 EDT 2022

% Result   : Timeout 300.05s 300.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET135-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.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 : Mon Jul 11 07:12:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.07  *** allocated 10000 integers for termspace/termends
% 0.42/1.07  *** allocated 10000 integers for clauses
% 0.42/1.07  *** allocated 10000 integers for justifications
% 0.42/1.07  Bliksem 1.12
% 0.42/1.07  
% 0.42/1.07  
% 0.42/1.07  Automatic Strategy Selection
% 0.42/1.07  
% 0.42/1.07  Clauses:
% 0.42/1.07  [
% 0.42/1.07     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.42/1.07     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.42/1.07     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ subclass( X, 'universal_class' ) ],
% 0.42/1.07     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.42/1.07     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.42/1.07     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.42/1.07     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.42/1.07     ) ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.42/1.07     ) ) ],
% 0.42/1.07     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.42/1.07     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.42/1.07     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.42/1.07     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.42/1.07    X, Z ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.42/1.07    Y, T ) ],
% 0.42/1.07     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.42/1.07     ), 'cross_product'( Y, T ) ) ],
% 0.42/1.07     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.42/1.07     ), second( X ) ), X ) ],
% 0.42/1.07     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.42/1.07    'universal_class' ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.42/1.07    Y ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.42/1.07    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.42/1.07    , Y ), 'element_relation' ) ],
% 0.42/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.42/1.07     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.42/1.07     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.42/1.07    Z ) ) ],
% 0.42/1.07     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.42/1.07    member( X, Y ) ],
% 0.42/1.07     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.42/1.07    union( X, Y ) ) ],
% 0.42/1.07     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.42/1.07    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.42/1.07    'symmetric_difference'( X, Y ) ) ],
% 0.42/1.07     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.42/1.07     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.42/1.07    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.42/1.07     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.42/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.42/1.07     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.42/1.07    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.42/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.42/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.42/1.07    Y ), rotate( T ) ) ],
% 0.42/1.07     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.42/1.07    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.42/1.07    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.42/1.07    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.42/1.07    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.42/1.07    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.42/1.07    Z ), flip( T ) ) ],
% 0.42/1.07     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.42/1.07    inverse( X ) ) ],
% 0.42/1.07     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.42/1.07     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.42/1.07    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.42/1.07     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.42/1.07    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.42/1.07     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.42/1.07     ],
% 0.42/1.07     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.42/1.07     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.42/1.07    'universal_class' ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.42/1.07    successor( X ), Y ) ],
% 0.42/1.07     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.42/1.07    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.42/1.07    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.42/1.07     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.42/1.07     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.42/1.07    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.42/1.07     [ inductive( omega ) ],
% 0.42/1.07     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.42/1.07     [ member( omega, 'universal_class' ) ],
% 0.42/1.07     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.42/1.07    , 'sum_class'( X ) ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.42/1.07    'universal_class' ) ],
% 0.42/1.07     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.42/1.07    'power_class'( X ) ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.42/1.07    'universal_class' ) ],
% 0.42/1.07     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.42/1.07    'universal_class' ) ) ],
% 0.42/1.07     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.42/1.07    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.42/1.07     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.42/1.07    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.42/1.07    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.42/1.07     ) ],
% 0.42/1.07     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.42/1.07    , 'identity_relation' ) ],
% 0.42/1.07     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.42/1.07    'single_valued_class'( X ) ],
% 0.42/1.07     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.42/1.07    'universal_class' ) ) ],
% 0.42/1.07     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.42/1.07    'identity_relation' ) ],
% 0.42/1.07     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.07     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.42/1.07    , function( X ) ],
% 0.42/1.07     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.42/1.07    X, Y ), 'universal_class' ) ],
% 0.42/1.07     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.42/1.07     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.42/1.07     ) ],
% 0.42/1.07     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.42/1.07     [ function( choice ) ],
% 0.42/1.07     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.42/1.07    apply( choice, X ), X ) ],
% 0.42/1.07     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.42/1.07     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.42/1.07     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.42/1.07    ,
% 0.42/1.07     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.42/1.07     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.42/1.07    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.42/1.07    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.42/1.07     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.42/1.07    'identity_relation' ) ],
% 0.42/1.07     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.42/1.07    , diagonalise( X ) ) ],
% 0.42/1.07     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.42/1.07    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.42/1.07     [ ~( operation( X ) ), function( X ) ],
% 0.42/1.07     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.42/1.07     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.42/1.07     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.47/4.85    'domain_of'( X ) ) ) ],
% 4.47/4.85     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.47/4.85     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.47/4.85    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.47/4.85    X ) ],
% 4.47/4.85     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.47/4.85     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.47/4.85    'domain_of'( X ) ) ],
% 4.47/4.85     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.47/4.85    'domain_of'( Z ) ) ) ],
% 4.47/4.85     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.47/4.85    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.47/4.85     ), compatible( X, Y, Z ) ],
% 4.47/4.85     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.47/4.85     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.47/4.85     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.47/4.85     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.47/4.85    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.47/4.85    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.47/4.85     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.47/4.85    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.47/4.85    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.47/4.85    , Y ) ],
% 4.47/4.85     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.47/4.85    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.47/4.85     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.47/4.85    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.47/4.85    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.47/4.85     [ =( union( singleton( X ), Y ), 'set_builder'( X, Y ) ) ],
% 4.47/4.85     [ member( u, 'universal_class' ) ],
% 4.47/4.85     [ =( 'set_builder'( x, 'set_builder'( u, 'set_builder'( z, 'null_class'
% 4.47/4.85     ) ) ), 'null_class' ) ]
% 4.47/4.85  ] .
% 4.47/4.85  
% 4.47/4.85  
% 4.47/4.85  percentage equality = 0.222826, percentage horn = 0.914894
% 4.47/4.85  This is a problem with some equality
% 4.47/4.85  
% 4.47/4.85  
% 4.47/4.85  
% 4.47/4.85  Options Used:
% 4.47/4.85  
% 4.47/4.85  useres =            1
% 4.47/4.85  useparamod =        1
% 4.47/4.85  useeqrefl =         1
% 4.47/4.85  useeqfact =         1
% 4.47/4.85  usefactor =         1
% 4.47/4.85  usesimpsplitting =  0
% 4.47/4.85  usesimpdemod =      5
% 4.47/4.85  usesimpres =        3
% 4.47/4.85  
% 4.47/4.85  resimpinuse      =  1000
% 4.47/4.85  resimpclauses =     20000
% 4.47/4.85  substype =          eqrewr
% 4.47/4.85  backwardsubs =      1
% 4.47/4.85  selectoldest =      5
% 4.47/4.85  
% 4.47/4.85  litorderings [0] =  split
% 4.47/4.85  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.47/4.85  
% 4.47/4.85  termordering =      kbo
% 4.47/4.85  
% 4.47/4.85  litapriori =        0
% 4.47/4.85  termapriori =       1
% 4.47/4.85  litaposteriori =    0
% 4.47/4.85  termaposteriori =   0
% 4.47/4.85  demodaposteriori =  0
% 4.47/4.85  ordereqreflfact =   0
% 4.47/4.85  
% 4.47/4.85  litselect =         negord
% 4.47/4.85  
% 4.47/4.85  maxweight =         15
% 4.47/4.85  maxdepth =          30000
% 4.47/4.85  maxlength =         115
% 4.47/4.85  maxnrvars =         195
% 4.47/4.85  excuselevel =       1
% 4.47/4.85  increasemaxweight = 1
% 4.47/4.85  
% 4.47/4.85  maxselected =       10000000
% 4.47/4.85  maxnrclauses =      10000000
% 4.47/4.85  
% 4.47/4.85  showgenerated =    0
% 4.47/4.85  showkept =         0
% 4.47/4.85  showselected =     0
% 4.47/4.85  showdeleted =      0
% 4.47/4.85  showresimp =       1
% 4.47/4.85  showstatus =       2000
% 4.47/4.85  
% 4.47/4.85  prologoutput =     1
% 4.47/4.85  nrgoals =          5000000
% 4.47/4.85  totalproof =       1
% 4.47/4.85  
% 4.47/4.85  Symbols occurring in the translation:
% 4.47/4.85  
% 4.47/4.85  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.47/4.85  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 4.47/4.85  !  [4, 1]      (w:0, o:32, a:1, s:1, b:0), 
% 4.47/4.85  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.47/4.85  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.47/4.85  subclass  [41, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.47/4.85  member  [43, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.47/4.85  'not_subclass_element'  [44, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.47/4.85  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.47/4.85  'unordered_pair'  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.47/4.85  singleton  [47, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.47/4.85  'ordered_pair'  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.47/4.85  'cross_product'  [50, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 4.47/4.85  first  [52, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.47/4.85  second  [53, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.47/4.85  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.47/4.85  intersection  [55, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.47/4.85  complement  [56, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 4.47/4.85  union  [57, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.47/4.85  'symmetric_difference'  [58, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 4.47/4.85  restrict  [60, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 87.40/87.84  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 87.40/87.84  'domain_of'  [62, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 87.40/87.84  rotate  [63, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 87.40/87.84  flip  [65, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 87.40/87.84  inverse  [66, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 87.40/87.84  'range_of'  [67, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 87.40/87.84  domain  [68, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 87.40/87.84  range  [69, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 87.40/87.84  image  [70, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 87.40/87.84  successor  [71, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 87.40/87.84  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 87.40/87.84  inductive  [73, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 87.40/87.84  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 87.40/87.84  'sum_class'  [75, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 87.40/87.84  'power_class'  [76, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 87.40/87.84  compose  [78, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 87.40/87.84  'single_valued_class'  [79, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 87.40/87.84  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 87.40/87.84  function  [82, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 87.40/87.84  regular  [83, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 87.40/87.84  apply  [84, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 87.40/87.84  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 87.40/87.84  'one_to_one'  [86, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 87.40/87.84  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 87.40/87.84  diagonalise  [88, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 87.40/87.84  cantor  [89, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 87.40/87.84  operation  [90, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 87.40/87.84  compatible  [94, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 87.40/87.84  homomorphism  [95, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 87.40/87.84  'not_homomorphism1'  [96, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 87.40/87.84  'not_homomorphism2'  [97, 3]      (w:1, o:101, a:1, s:1, b:0), 
% 87.40/87.84  'set_builder'  [98, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 87.40/87.84  u  [99, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 87.40/87.84  x  [100, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 87.40/87.84  z  [101, 0]      (w:1, o:31, a:1, s:1, b:0).
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Starting Search:
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    5574
% 87.40/87.84  Kept:         2004
% 87.40/87.84  Inuse:        105
% 87.40/87.84  Deleted:      2
% 87.40/87.84  Deletedinuse: 2
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    10275
% 87.40/87.84  Kept:         4015
% 87.40/87.84  Inuse:        186
% 87.40/87.84  Deleted:      21
% 87.40/87.84  Deletedinuse: 14
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    14178
% 87.40/87.84  Kept:         6018
% 87.40/87.84  Inuse:        240
% 87.40/87.84  Deleted:      25
% 87.40/87.84  Deletedinuse: 15
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    18905
% 87.40/87.84  Kept:         8027
% 87.40/87.84  Inuse:        290
% 87.40/87.84  Deleted:      83
% 87.40/87.84  Deletedinuse: 71
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    25823
% 87.40/87.84  Kept:         10990
% 87.40/87.84  Inuse:        377
% 87.40/87.84  Deleted:      94
% 87.40/87.84  Deletedinuse: 80
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    31885
% 87.40/87.84  Kept:         13075
% 87.40/87.84  Inuse:        387
% 87.40/87.84  Deleted:      100
% 87.40/87.84  Deletedinuse: 86
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    37192
% 87.40/87.84  Kept:         15095
% 87.40/87.84  Inuse:        438
% 87.40/87.84  Deleted:      100
% 87.40/87.84  Deletedinuse: 86
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    41771
% 87.40/87.84  Kept:         17122
% 87.40/87.84  Inuse:        492
% 87.40/87.84  Deleted:      102
% 87.40/87.84  Deletedinuse: 88
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    48087
% 87.40/87.84  Kept:         19147
% 87.40/87.84  Inuse:        512
% 87.40/87.84  Deleted:      102
% 87.40/87.84  Deletedinuse: 88
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying clauses:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    54765
% 87.40/87.84  Kept:         21181
% 87.40/87.84  Inuse:        554
% 87.40/87.84  Deleted:      3252
% 87.40/87.84  Deletedinuse: 88
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    61448
% 87.40/87.84  Kept:         23187
% 87.40/87.84  Inuse:        608
% 87.40/87.84  Deleted:      3252
% 87.40/87.84  Deletedinuse: 88
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    67850
% 87.40/87.84  Kept:         25212
% 87.40/87.84  Inuse:        654
% 87.40/87.84  Deleted:      3252
% 87.40/87.84  Deletedinuse: 88
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  Resimplifying inuse:
% 87.40/87.84  Done
% 87.40/87.84  
% 87.40/87.84  
% 87.40/87.84  Intermediate Status:
% 87.40/87.84  Generated:    77830
% 87.40/87.84  Kept:         28759
% 87.40/87.84  Inuse:        681
% 87.40/87.84  Deleted:      3262
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    82195
% 257.24/257.66  Kept:         31230
% 257.24/257.66  Inuse:        686
% 257.24/257.66  Deleted:      3262
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    86962
% 257.24/257.66  Kept:         33281
% 257.24/257.66  Inuse:        694
% 257.24/257.66  Deleted:      3262
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    95422
% 257.24/257.66  Kept:         37036
% 257.24/257.66  Inuse:        701
% 257.24/257.66  Deleted:      3262
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    100074
% 257.24/257.66  Kept:         39241
% 257.24/257.66  Inuse:        706
% 257.24/257.66  Deleted:      3262
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying clauses:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    115341
% 257.24/257.66  Kept:         42332
% 257.24/257.66  Inuse:        721
% 257.24/257.66  Deleted:      3802
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    159752
% 257.24/257.66  Kept:         44334
% 257.24/257.66  Inuse:        744
% 257.24/257.66  Deleted:      3802
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    168945
% 257.24/257.66  Kept:         46879
% 257.24/257.66  Inuse:        751
% 257.24/257.66  Deleted:      3802
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    179352
% 257.24/257.66  Kept:         49735
% 257.24/257.66  Inuse:        761
% 257.24/257.66  Deleted:      3802
% 257.24/257.66  Deletedinuse: 92
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    188715
% 257.24/257.66  Kept:         51809
% 257.24/257.66  Inuse:        773
% 257.24/257.66  Deleted:      3840
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    197843
% 257.24/257.66  Kept:         53909
% 257.24/257.66  Inuse:        783
% 257.24/257.66  Deleted:      3840
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    211617
% 257.24/257.66  Kept:         56177
% 257.24/257.66  Inuse:        791
% 257.24/257.66  Deleted:      3840
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    220511
% 257.24/257.66  Kept:         58483
% 257.24/257.66  Inuse:        801
% 257.24/257.66  Deleted:      3840
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying clauses:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    229300
% 257.24/257.66  Kept:         60500
% 257.24/257.66  Inuse:        815
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    238159
% 257.24/257.66  Kept:         62583
% 257.24/257.66  Inuse:        822
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    249758
% 257.24/257.66  Kept:         64606
% 257.24/257.66  Inuse:        834
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    265298
% 257.24/257.66  Kept:         68340
% 257.24/257.66  Inuse:        846
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    275925
% 257.24/257.66  Kept:         71640
% 257.24/257.66  Inuse:        856
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    287424
% 257.24/257.66  Kept:         74582
% 257.24/257.66  Inuse:        866
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    299155
% 257.24/257.66  Kept:         77485
% 257.24/257.66  Inuse:        876
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    310891
% 257.24/257.66  Kept:         80130
% 257.24/257.66  Inuse:        886
% 257.24/257.66  Deleted:      8912
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying clauses:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    322829
% 257.24/257.66  Kept:         82761
% 257.24/257.66  Inuse:        896
% 257.24/257.66  Deleted:      9792
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    335334
% 257.24/257.66  Kept:         85838
% 257.24/257.66  Inuse:        906
% 257.24/257.66  Deleted:      9792
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    347818
% 257.24/257.66  Kept:         88625
% 257.24/257.66  Inuse:        916
% 257.24/257.66  Deleted:      9792
% 257.24/257.66  Deletedinuse: 130
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  Resimplifying inuse:
% 257.24/257.66  Done
% 257.24/257.66  
% 257.24/257.66  
% 257.24/257.66  Intermediate Status:
% 257.24/257.66  Generated:    361439
% 257.24/257.66  Kept:         90625
% 257.24/257.66  Inuse:        930
% 257.24/257.66  Deleted:      9792
% 257.24/257.66  DeleCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------