TSTP Solution File: SET105-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET105-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 22:47:10 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET105-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n020.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 : Sun Jul 10 13:26:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.12  *** allocated 10000 integers for termspace/termends
% 0.72/1.12  *** allocated 10000 integers for clauses
% 0.72/1.12  *** allocated 10000 integers for justifications
% 0.72/1.12  Bliksem 1.12
% 0.72/1.12  
% 0.72/1.12  
% 0.72/1.12  Automatic Strategy Selection
% 0.72/1.12  
% 0.72/1.12  Clauses:
% 0.72/1.12  [
% 0.72/1.12     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.12     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.12     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ subclass( X, 'universal_class' ) ],
% 0.72/1.12     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.12     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.12     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.12     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.12     ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.12     ) ) ],
% 0.72/1.12     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.12     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.12     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.12     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.12    X, Z ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.12    Y, T ) ],
% 0.72/1.12     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.12     ), 'cross_product'( Y, T ) ) ],
% 0.72/1.12     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.12     ), second( X ) ), X ) ],
% 0.72/1.12     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.72/1.12    Y ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.12    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.12    , Y ), 'element_relation' ) ],
% 0.72/1.12     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.12     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.12     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.72/1.12    Z ) ) ],
% 0.72/1.12     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.72/1.12    member( X, Y ) ],
% 0.72/1.12     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.72/1.12    union( X, Y ) ) ],
% 0.72/1.12     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.72/1.12    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.72/1.12    'symmetric_difference'( X, Y ) ) ],
% 0.72/1.12     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.12     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.72/1.12    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.12     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.12    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.12     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.12    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.72/1.12    Y ), rotate( T ) ) ],
% 0.72/1.12     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.12    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.12    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.12    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.72/1.12    Z ), flip( T ) ) ],
% 0.72/1.12     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.72/1.12    inverse( X ) ) ],
% 0.72/1.12     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.12     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.72/1.12    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.12     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.72/1.12    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.12     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.12     ],
% 0.72/1.12     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.12     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.72/1.12    successor( X ), Y ) ],
% 0.72/1.12     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.72/1.12    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.72/1.12    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.12     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.12     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.72/1.12    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.12     [ inductive( omega ) ],
% 0.72/1.12     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.12     [ member( omega, 'universal_class' ) ],
% 0.72/1.12     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.12    , 'sum_class'( X ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.72/1.12    'universal_class' ) ],
% 0.72/1.12     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.72/1.12    'power_class'( X ) ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.72/1.12    'universal_class' ) ],
% 0.72/1.12     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.72/1.12    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.12     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.72/1.12    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.12     ) ],
% 0.72/1.12     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.12    , 'identity_relation' ) ],
% 0.72/1.12     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.72/1.12    'single_valued_class'( X ) ],
% 0.72/1.12     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.72/1.12    'universal_class' ) ) ],
% 0.72/1.12     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.72/1.12    'identity_relation' ) ],
% 0.72/1.12     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.12     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.12    , function( X ) ],
% 0.72/1.12     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.72/1.12    X, Y ), 'universal_class' ) ],
% 0.72/1.12     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.12     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.12     ) ],
% 0.72/1.12     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.12     [ function( choice ) ],
% 0.72/1.12     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.72/1.12    apply( choice, X ), X ) ],
% 0.72/1.12     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.12     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.12     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.12    ,
% 0.72/1.12     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.12     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.12    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.72/1.12    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.12     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.72/1.12    'identity_relation' ) ],
% 0.72/1.12     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.12    , diagonalise( X ) ) ],
% 0.72/1.12     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.72/1.12    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.12     [ ~( operation( X ) ), function( X ) ],
% 0.72/1.12     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.12     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.12     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.95/5.31    'domain_of'( X ) ) ) ],
% 4.95/5.31     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.95/5.31     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.95/5.31    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.95/5.31    X ) ],
% 4.95/5.31     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.95/5.31     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.95/5.31    'domain_of'( X ) ) ],
% 4.95/5.31     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.95/5.31    'domain_of'( Z ) ) ) ],
% 4.95/5.31     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.95/5.31    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.95/5.31     ), compatible( X, Y, Z ) ],
% 4.95/5.31     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.95/5.31     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.95/5.31     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.95/5.31     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.95/5.31    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.95/5.31    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.95/5.31     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.95/5.31    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.95/5.31    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.95/5.31    , Y ) ],
% 4.95/5.31     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.95/5.31    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.95/5.31     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.95/5.31    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.95/5.31    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.95/5.31     [ ~( =( 'unordered_pair'( 'null_class', singleton( 'null_class' ) ), 
% 4.95/5.31    'ordered_pair'( x, y ) ) ) ],
% 4.95/5.31     [ ~( member( x, 'universal_class' ) ) ],
% 4.95/5.31     [ ~( member( y, 'universal_class' ) ) ]
% 4.95/5.31  ] .
% 4.95/5.31  
% 4.95/5.31  
% 4.95/5.31  percentage equality = 0.217391, percentage horn = 0.914894
% 4.95/5.31  This is a problem with some equality
% 4.95/5.31  
% 4.95/5.31  
% 4.95/5.31  
% 4.95/5.31  Options Used:
% 4.95/5.31  
% 4.95/5.31  useres =            1
% 4.95/5.31  useparamod =        1
% 4.95/5.31  useeqrefl =         1
% 4.95/5.31  useeqfact =         1
% 4.95/5.31  usefactor =         1
% 4.95/5.31  usesimpsplitting =  0
% 4.95/5.31  usesimpdemod =      5
% 4.95/5.31  usesimpres =        3
% 4.95/5.31  
% 4.95/5.31  resimpinuse      =  1000
% 4.95/5.31  resimpclauses =     20000
% 4.95/5.31  substype =          eqrewr
% 4.95/5.31  backwardsubs =      1
% 4.95/5.31  selectoldest =      5
% 4.95/5.31  
% 4.95/5.31  litorderings [0] =  split
% 4.95/5.31  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.95/5.31  
% 4.95/5.31  termordering =      kbo
% 4.95/5.31  
% 4.95/5.31  litapriori =        0
% 4.95/5.31  termapriori =       1
% 4.95/5.31  litaposteriori =    0
% 4.95/5.31  termaposteriori =   0
% 4.95/5.31  demodaposteriori =  0
% 4.95/5.31  ordereqreflfact =   0
% 4.95/5.31  
% 4.95/5.31  litselect =         negord
% 4.95/5.31  
% 4.95/5.31  maxweight =         15
% 4.95/5.31  maxdepth =          30000
% 4.95/5.31  maxlength =         115
% 4.95/5.31  maxnrvars =         195
% 4.95/5.31  excuselevel =       1
% 4.95/5.31  increasemaxweight = 1
% 4.95/5.31  
% 4.95/5.31  maxselected =       10000000
% 4.95/5.31  maxnrclauses =      10000000
% 4.95/5.31  
% 4.95/5.31  showgenerated =    0
% 4.95/5.31  showkept =         0
% 4.95/5.31  showselected =     0
% 4.95/5.31  showdeleted =      0
% 4.95/5.31  showresimp =       1
% 4.95/5.31  showstatus =       2000
% 4.95/5.31  
% 4.95/5.31  prologoutput =     1
% 4.95/5.31  nrgoals =          5000000
% 4.95/5.31  totalproof =       1
% 4.95/5.31  
% 4.95/5.31  Symbols occurring in the translation:
% 4.95/5.31  
% 4.95/5.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.95/5.31  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 4.95/5.31  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 4.95/5.31  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.95/5.31  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.95/5.31  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 4.95/5.31  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.95/5.31  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.95/5.31  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.95/5.31  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.95/5.31  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 4.95/5.31  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.95/5.31  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.95/5.31  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.95/5.31  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.95/5.31  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.95/5.31  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 4.95/5.31  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.95/5.31  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.95/5.31  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.95/5.31  restrict  [60, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 103.64/104.02  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 103.64/104.02  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 103.64/104.02  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 103.64/104.02  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 103.64/104.02  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 103.64/104.02  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 103.64/104.02  domain  [68, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 103.64/104.02  range  [69, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 103.64/104.02  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 103.64/104.02  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 103.64/104.02  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 103.64/104.02  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 103.64/104.02  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 103.64/104.02  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 103.64/104.02  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 103.64/104.02  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 103.64/104.02  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 103.64/104.02  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 103.64/104.02  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 103.64/104.02  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 103.64/104.02  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 103.64/104.02  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 103.64/104.02  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 103.64/104.02  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 103.64/104.02  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 103.64/104.02  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 103.64/104.02  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 103.64/104.02  compatible  [94, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 103.64/104.02  homomorphism  [95, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 103.64/104.02  'not_homomorphism1'  [96, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 103.64/104.02  'not_homomorphism2'  [97, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 103.64/104.02  x  [98, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 103.64/104.02  y  [99, 0]      (w:1, o:30, a:1, s:1, b:0).
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Starting Search:
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    4820
% 103.64/104.02  Kept:         2009
% 103.64/104.02  Inuse:        124
% 103.64/104.02  Deleted:      7
% 103.64/104.02  Deletedinuse: 4
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    10188
% 103.64/104.02  Kept:         4032
% 103.64/104.02  Inuse:        206
% 103.64/104.02  Deleted:      12
% 103.64/104.02  Deletedinuse: 6
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    14442
% 103.64/104.02  Kept:         6179
% 103.64/104.02  Inuse:        279
% 103.64/104.02  Deleted:      16
% 103.64/104.02  Deletedinuse: 9
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    20506
% 103.64/104.02  Kept:         8181
% 103.64/104.02  Inuse:        349
% 103.64/104.02  Deleted:      53
% 103.64/104.02  Deletedinuse: 44
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    27838
% 103.64/104.02  Kept:         11151
% 103.64/104.02  Inuse:        382
% 103.64/104.02  Deleted:      53
% 103.64/104.02  Deletedinuse: 44
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    33919
% 103.64/104.02  Kept:         13180
% 103.64/104.02  Inuse:        420
% 103.64/104.02  Deleted:      62
% 103.64/104.02  Deletedinuse: 48
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    38359
% 103.64/104.02  Kept:         15197
% 103.64/104.02  Inuse:        481
% 103.64/104.02  Deleted:      72
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    46123
% 103.64/104.02  Kept:         17589
% 103.64/104.02  Inuse:        502
% 103.64/104.02  Deleted:      72
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    51208
% 103.64/104.02  Kept:         19622
% 103.64/104.02  Inuse:        553
% 103.64/104.02  Deleted:      75
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying clauses:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    56959
% 103.64/104.02  Kept:         21623
% 103.64/104.02  Inuse:        595
% 103.64/104.02  Deleted:      2249
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    62123
% 103.64/104.02  Kept:         23718
% 103.64/104.02  Inuse:        638
% 103.64/104.02  Deleted:      2249
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    69754
% 103.64/104.02  Kept:         26278
% 103.64/104.02  Inuse:        668
% 103.64/104.02  Deleted:      2249
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    78258
% 103.64/104.02  Kept:         29965
% 103.64/104.02  Inuse:        678
% 103.64/104.02  Deleted:      2249
% 103.64/104.02  Deletedinuse: 58
% 103.64/104.02  
% 103.64/104.02  Resimplifying inuse:
% 103.64/104.02  Done
% 103.64/104.02  
% 103.64/104.02  
% 103.64/104.02  Intermediate Status:
% 103.64/104.02  Generated:    82728
% 103.64/104.02  Kept:         32080
% 103.64/104.02  Inuse:        683
% 103.64/104.02  Deleted:      2249
% 103.64/104.02  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    97214
% 264.33/264.76  Kept:         34776
% 264.33/264.76  Inuse:        698
% 264.33/264.76  Deleted:      2249
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    144370
% 264.33/264.76  Kept:         36989
% 264.33/264.76  Inuse:        723
% 264.33/264.76  Deleted:      2249
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    154085
% 264.33/264.76  Kept:         39090
% 264.33/264.76  Inuse:        733
% 264.33/264.76  Deleted:      2249
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying clauses:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    170530
% 264.33/264.76  Kept:         41444
% 264.33/264.76  Inuse:        743
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    178710
% 264.33/264.76  Kept:         43965
% 264.33/264.76  Inuse:        753
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    187570
% 264.33/264.76  Kept:         46639
% 264.33/264.76  Inuse:        763
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    197391
% 264.33/264.76  Kept:         48853
% 264.33/264.76  Inuse:        773
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    207538
% 264.33/264.76  Kept:         51230
% 264.33/264.76  Inuse:        783
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    217836
% 264.33/264.76  Kept:         53815
% 264.33/264.76  Inuse:        793
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    228314
% 264.33/264.76  Kept:         56168
% 264.33/264.76  Inuse:        803
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    239238
% 264.33/264.76  Kept:         58700
% 264.33/264.76  Inuse:        813
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    250299
% 264.33/264.76  Kept:         61448
% 264.33/264.76  Inuse:        823
% 264.33/264.76  Deleted:      3122
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying clauses:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    261463
% 264.33/264.76  Kept:         63900
% 264.33/264.76  Inuse:        833
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    273162
% 264.33/264.76  Kept:         66601
% 264.33/264.76  Inuse:        843
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    284835
% 264.33/264.76  Kept:         69407
% 264.33/264.76  Inuse:        853
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    296388
% 264.33/264.76  Kept:         72421
% 264.33/264.76  Inuse:        863
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    308856
% 264.33/264.76  Kept:         75315
% 264.33/264.76  Inuse:        873
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    321277
% 264.33/264.76  Kept:         78332
% 264.33/264.76  Inuse:        883
% 264.33/264.76  Deleted:      4022
% 264.33/264.76  Deletedinuse: 58
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    338343
% 264.33/264.76  Kept:         81514
% 264.33/264.76  Inuse:        898
% 264.33/264.76  Deleted:      4026
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying clauses:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    350811
% 264.33/264.76  Kept:         83556
% 264.33/264.76  Inuse:        912
% 264.33/264.76  Deleted:      5533
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    357878
% 264.33/264.76  Kept:         85625
% 264.33/264.76  Inuse:        916
% 264.33/264.76  Deleted:      5533
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    369558
% 264.33/264.76  Kept:         89197
% 264.33/264.76  Inuse:        923
% 264.33/264.76  Deleted:      5533
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    383217
% 264.33/264.76  Kept:         91221
% 264.33/264.76  Inuse:        935
% 264.33/264.76  Deleted:      5533
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  Intermediate Status:
% 264.33/264.76  Generated:    398411
% 264.33/264.76  Kept:         95017
% 264.33/264.76  Inuse:        943
% 264.33/264.76  Deleted:      5533
% 264.33/264.76  Deletedinuse: 62
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  Resimplifying inuse:
% 264.33/264.76  Done
% 264.33/264.76  
% 264.33/264.76  
% 264.33/264.76  InterCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------