TSTP Solution File: SET141-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET141-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 22:47:32 EDT 2022

% Result   : Timeout 300.06s 300.48s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET141-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Sun Jul 10 04:50:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.72/1.11  *** allocated 10000 integers for termspace/termends
% 0.72/1.11  *** allocated 10000 integers for clauses
% 0.72/1.11  *** allocated 10000 integers for justifications
% 0.72/1.11  Bliksem 1.12
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Automatic Strategy Selection
% 0.72/1.11  
% 0.72/1.11  Clauses:
% 0.72/1.11  [
% 0.72/1.11     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.11     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.72/1.11     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ subclass( X, 'universal_class' ) ],
% 0.72/1.11     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.72/1.11     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.72/1.11     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.72/1.11     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.72/1.11     ) ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.72/1.11     ) ) ],
% 0.72/1.11     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.72/1.11     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.72/1.11     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.72/1.11     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.11    X, Z ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.72/1.11    Y, T ) ],
% 0.72/1.11     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.72/1.11     ), 'cross_product'( Y, T ) ) ],
% 0.72/1.11     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.72/1.11     ), second( X ) ), X ) ],
% 0.72/1.11     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.72/1.11    'universal_class' ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.72/1.11    Y ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.72/1.11    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.72/1.11    , Y ), 'element_relation' ) ],
% 0.72/1.11     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.11     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.11     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.72/1.11    Z ) ) ],
% 0.72/1.11     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.72/1.11    member( X, Y ) ],
% 0.72/1.11     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.72/1.11    union( X, Y ) ) ],
% 0.72/1.11     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.72/1.11    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.72/1.11    'symmetric_difference'( X, Y ) ) ],
% 0.72/1.11     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.72/1.11     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.72/1.11    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.72/1.11     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.11    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.72/1.11     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.11    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.72/1.11    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.11    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.72/1.11    Y ), rotate( T ) ) ],
% 0.72/1.11     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.72/1.11    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.72/1.11    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.72/1.11    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.72/1.11    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.72/1.11    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.72/1.11    Z ), flip( T ) ) ],
% 0.72/1.11     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.72/1.11    inverse( X ) ) ],
% 0.72/1.11     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.72/1.11     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.72/1.11    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.72/1.11     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.72/1.11    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.72/1.11     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.72/1.11     ],
% 0.72/1.11     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.72/1.11     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.72/1.11    'universal_class' ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.72/1.11    successor( X ), Y ) ],
% 0.72/1.11     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.72/1.11    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.72/1.11    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.72/1.11     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.72/1.11     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.72/1.11    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.72/1.11     [ inductive( omega ) ],
% 0.72/1.11     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.72/1.11     [ member( omega, 'universal_class' ) ],
% 0.72/1.11     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.72/1.11    , 'sum_class'( X ) ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.72/1.11    'universal_class' ) ],
% 0.72/1.11     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.72/1.11    'power_class'( X ) ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.72/1.11    'universal_class' ) ],
% 0.72/1.11     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.72/1.11    'universal_class' ) ) ],
% 0.72/1.11     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.72/1.11    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.72/1.11     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.72/1.11    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.72/1.11    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.11     ) ],
% 0.72/1.11     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.11    , 'identity_relation' ) ],
% 0.72/1.11     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.72/1.11    'single_valued_class'( X ) ],
% 0.72/1.11     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.72/1.11    'universal_class' ) ) ],
% 0.72/1.11     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.72/1.11    'identity_relation' ) ],
% 0.72/1.11     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.11     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.72/1.11    , function( X ) ],
% 0.72/1.11     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.72/1.11    X, Y ), 'universal_class' ) ],
% 0.72/1.11     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.72/1.11     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.72/1.11     ) ],
% 0.72/1.11     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.72/1.11     [ function( choice ) ],
% 0.72/1.11     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.72/1.11    apply( choice, X ), X ) ],
% 0.72/1.11     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.72/1.11     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.72/1.11     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.72/1.11    ,
% 0.72/1.11     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.72/1.11     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.11    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.72/1.11    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.72/1.11     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.72/1.11    'identity_relation' ) ],
% 0.72/1.11     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.72/1.11    , diagonalise( X ) ) ],
% 0.72/1.11     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.72/1.11    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.72/1.11     [ ~( operation( X ) ), function( X ) ],
% 0.72/1.11     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.72/1.11     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.72/1.11     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.24/5.62    'domain_of'( X ) ) ) ],
% 5.24/5.62     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 5.24/5.62     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 5.24/5.62    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 5.24/5.62    X ) ],
% 5.24/5.62     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 5.24/5.62     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 5.24/5.62    'domain_of'( X ) ) ],
% 5.24/5.62     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 5.24/5.62    'domain_of'( Z ) ) ) ],
% 5.24/5.62     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 5.24/5.62    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 5.24/5.62     ), compatible( X, Y, Z ) ],
% 5.24/5.62     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 5.24/5.62     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 5.24/5.62     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 5.24/5.62     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 5.24/5.62    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 5.24/5.62    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 5.24/5.62     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.24/5.62    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 5.24/5.62    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 5.24/5.62    , Y ) ],
% 5.24/5.62     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 5.24/5.62    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 5.24/5.62     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 5.24/5.62    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 5.24/5.62    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 5.24/5.62     [ =( union( singleton( X ), Y ), 'set_builder'( X, Y ) ) ],
% 5.24/5.62     [ ~( =( 'set_builder'( x, 'set_builder'( y, 'set_builder'( y, 
% 5.24/5.62    'null_class' ) ) ), 'unordered_pair'( x, y ) ) ) ]
% 5.24/5.62  ] .
% 5.24/5.62  
% 5.24/5.62  
% 5.24/5.62  percentage equality = 0.224044, percentage horn = 0.913978
% 5.24/5.62  This is a problem with some equality
% 5.24/5.62  
% 5.24/5.62  
% 5.24/5.62  
% 5.24/5.62  Options Used:
% 5.24/5.62  
% 5.24/5.62  useres =            1
% 5.24/5.62  useparamod =        1
% 5.24/5.62  useeqrefl =         1
% 5.24/5.62  useeqfact =         1
% 5.24/5.62  usefactor =         1
% 5.24/5.62  usesimpsplitting =  0
% 5.24/5.62  usesimpdemod =      5
% 5.24/5.62  usesimpres =        3
% 5.24/5.62  
% 5.24/5.62  resimpinuse      =  1000
% 5.24/5.62  resimpclauses =     20000
% 5.24/5.62  substype =          eqrewr
% 5.24/5.62  backwardsubs =      1
% 5.24/5.62  selectoldest =      5
% 5.24/5.62  
% 5.24/5.62  litorderings [0] =  split
% 5.24/5.62  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.24/5.62  
% 5.24/5.62  termordering =      kbo
% 5.24/5.62  
% 5.24/5.62  litapriori =        0
% 5.24/5.62  termapriori =       1
% 5.24/5.62  litaposteriori =    0
% 5.24/5.62  termaposteriori =   0
% 5.24/5.62  demodaposteriori =  0
% 5.24/5.62  ordereqreflfact =   0
% 5.24/5.62  
% 5.24/5.62  litselect =         negord
% 5.24/5.62  
% 5.24/5.62  maxweight =         15
% 5.24/5.62  maxdepth =          30000
% 5.24/5.62  maxlength =         115
% 5.24/5.62  maxnrvars =         195
% 5.24/5.62  excuselevel =       1
% 5.24/5.62  increasemaxweight = 1
% 5.24/5.62  
% 5.24/5.62  maxselected =       10000000
% 5.24/5.62  maxnrclauses =      10000000
% 5.24/5.62  
% 5.24/5.62  showgenerated =    0
% 5.24/5.62  showkept =         0
% 5.24/5.62  showselected =     0
% 5.24/5.62  showdeleted =      0
% 5.24/5.62  showresimp =       1
% 5.24/5.62  showstatus =       2000
% 5.24/5.62  
% 5.24/5.62  prologoutput =     1
% 5.24/5.62  nrgoals =          5000000
% 5.24/5.62  totalproof =       1
% 5.24/5.62  
% 5.24/5.62  Symbols occurring in the translation:
% 5.24/5.62  
% 5.24/5.62  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.24/5.62  .  [1, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 5.24/5.62  !  [4, 1]      (w:0, o:31, a:1, s:1, b:0), 
% 5.24/5.62  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.24/5.62  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.24/5.62  subclass  [41, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 5.24/5.62  member  [43, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 5.24/5.62  'not_subclass_element'  [44, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 5.24/5.62  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.24/5.62  'unordered_pair'  [46, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 5.24/5.62  singleton  [47, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 5.24/5.62  'ordered_pair'  [48, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 5.24/5.62  'cross_product'  [50, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 5.24/5.62  first  [52, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 5.24/5.62  second  [53, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 5.24/5.62  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 5.24/5.62  intersection  [55, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 5.24/5.62  complement  [56, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 5.24/5.62  union  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 5.24/5.62  'symmetric_difference'  [58, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 5.24/5.62  restrict  [60, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 5.24/5.62  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 96.98/97.37  'domain_of'  [62, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 96.98/97.37  rotate  [63, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 96.98/97.37  flip  [65, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 96.98/97.37  inverse  [66, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 96.98/97.37  'range_of'  [67, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 96.98/97.37  domain  [68, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 96.98/97.37  range  [69, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 96.98/97.37  image  [70, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 96.98/97.37  successor  [71, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 96.98/97.37  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 96.98/97.37  inductive  [73, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 96.98/97.37  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 96.98/97.37  'sum_class'  [75, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 96.98/97.37  'power_class'  [76, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 96.98/97.37  compose  [78, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 96.98/97.37  'single_valued_class'  [79, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 96.98/97.37  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 96.98/97.37  function  [82, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 96.98/97.37  regular  [83, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 96.98/97.37  apply  [84, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 96.98/97.37  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 96.98/97.37  'one_to_one'  [86, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 96.98/97.37  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 96.98/97.37  diagonalise  [88, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 96.98/97.37  cantor  [89, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 96.98/97.37  operation  [90, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 96.98/97.37  compatible  [94, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 96.98/97.37  homomorphism  [95, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 96.98/97.37  'not_homomorphism1'  [96, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 96.98/97.37  'not_homomorphism2'  [97, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 96.98/97.37  'set_builder'  [98, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 96.98/97.37  x  [99, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 96.98/97.37  y  [100, 0]      (w:1, o:30, a:1, s:1, b:0).
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Starting Search:
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    5497
% 96.98/97.37  Kept:         2041
% 96.98/97.37  Inuse:        103
% 96.98/97.37  Deleted:      5
% 96.98/97.37  Deletedinuse: 2
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    10253
% 96.98/97.37  Kept:         4049
% 96.98/97.37  Inuse:        188
% 96.98/97.37  Deleted:      23
% 96.98/97.37  Deletedinuse: 14
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    14126
% 96.98/97.37  Kept:         6081
% 96.98/97.37  Inuse:        239
% 96.98/97.37  Deleted:      27
% 96.98/97.37  Deletedinuse: 15
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    18824
% 96.98/97.37  Kept:         8090
% 96.98/97.37  Inuse:        291
% 96.98/97.37  Deleted:      84
% 96.98/97.37  Deletedinuse: 71
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    25584
% 96.98/97.37  Kept:         11070
% 96.98/97.37  Inuse:        376
% 96.98/97.37  Deleted:      95
% 96.98/97.37  Deletedinuse: 80
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    31641
% 96.98/97.37  Kept:         13176
% 96.98/97.37  Inuse:        386
% 96.98/97.37  Deleted:      101
% 96.98/97.37  Deletedinuse: 86
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    37158
% 96.98/97.37  Kept:         15220
% 96.98/97.37  Inuse:        438
% 96.98/97.37  Deleted:      101
% 96.98/97.37  Deletedinuse: 86
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    43921
% 96.98/97.37  Kept:         17803
% 96.98/97.37  Inuse:        496
% 96.98/97.37  Deleted:      103
% 96.98/97.37  Deletedinuse: 88
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    50178
% 96.98/97.37  Kept:         19860
% 96.98/97.37  Inuse:        524
% 96.98/97.37  Deleted:      104
% 96.98/97.37  Deletedinuse: 88
% 96.98/97.37  
% 96.98/97.37  Resimplifying clauses:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    56994
% 96.98/97.37  Kept:         21862
% 96.98/97.37  Inuse:        575
% 96.98/97.37  Deleted:      3320
% 96.98/97.37  Deletedinuse: 88
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    63952
% 96.98/97.37  Kept:         23878
% 96.98/97.37  Inuse:        624
% 96.98/97.37  Deleted:      3320
% 96.98/97.37  Deletedinuse: 88
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    71924
% 96.98/97.37  Kept:         25925
% 96.98/97.37  Inuse:        664
% 96.98/97.37  Deleted:      3330
% 96.98/97.37  Deletedinuse: 92
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  
% 96.98/97.37  Intermediate Status:
% 96.98/97.37  Generated:    83398
% 96.98/97.37  Kept:         29436
% 96.98/97.37  Inuse:        694
% 96.98/97.37  Deleted:      3330
% 96.98/97.37  Deletedinuse: 92
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 96.98/97.37  
% 96.98/97.37  Resimplifying inuse:
% 96.98/97.37  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    91353
% 266.51/266.93  Kept:         33311
% 266.51/266.93  Inuse:        704
% 266.51/266.93  Deleted:      3367
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    95472
% 266.51/266.93  Kept:         35586
% 266.51/266.93  Inuse:        709
% 266.51/266.93  Deleted:      3367
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    103621
% 266.51/266.93  Kept:         38807
% 266.51/266.93  Inuse:        719
% 266.51/266.93  Deleted:      3367
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying clauses:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    108029
% 266.51/266.93  Kept:         40825
% 266.51/266.93  Inuse:        725
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    112430
% 266.51/266.93  Kept:         42871
% 266.51/266.93  Inuse:        730
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    126487
% 266.51/266.93  Kept:         45734
% 266.51/266.93  Inuse:        744
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    169193
% 266.51/266.93  Kept:         47768
% 266.51/266.93  Inuse:        768
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    182676
% 266.51/266.93  Kept:         49901
% 266.51/266.93  Inuse:        783
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    192312
% 266.51/266.93  Kept:         52019
% 266.51/266.93  Inuse:        793
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    201400
% 266.51/266.93  Kept:         54386
% 266.51/266.93  Inuse:        799
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    209394
% 266.51/266.93  Kept:         56476
% 266.51/266.93  Inuse:        808
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    218812
% 266.51/266.93  Kept:         58496
% 266.51/266.93  Inuse:        814
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    229929
% 266.51/266.93  Kept:         61100
% 266.51/266.93  Inuse:        824
% 266.51/266.93  Deleted:      6385
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying clauses:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    242304
% 266.51/266.93  Kept:         63220
% 266.51/266.93  Inuse:        831
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    252293
% 266.51/266.93  Kept:         65295
% 266.51/266.93  Inuse:        843
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    261524
% 266.51/266.93  Kept:         67572
% 266.51/266.93  Inuse:        849
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    272870
% 266.51/266.93  Kept:         70314
% 266.51/266.93  Inuse:        859
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    286032
% 266.51/266.93  Kept:         72371
% 266.51/266.93  Inuse:        873
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    301712
% 266.51/266.93  Kept:         74379
% 266.51/266.93  Inuse:        887
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    306834
% 266.51/266.93  Kept:         76463
% 266.51/266.93  Inuse:        889
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    317765
% 266.51/266.93  Kept:         79408
% 266.51/266.93  Inuse:        899
% 266.51/266.93  Deleted:      7421
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying clauses:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    335709
% 266.51/266.93  Kept:         81443
% 266.51/266.93  Inuse:        918
% 266.51/266.93  Deleted:      10080
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    351885
% 266.51/266.93  Kept:         83963
% 266.51/266.93  Inuse:        929
% 266.51/266.93  Deleted:      10080
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    363356
% 266.51/266.93  Kept:         86259
% 266.51/266.93  Inuse:        937
% 266.51/266.93  Deleted:      10082
% 266.51/266.93  Deletedinuse: 129
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  
% 266.51/266.93  Intermediate Status:
% 266.51/266.93  Generated:    376257
% 266.51/266.93  Kept:         88979
% 266.51/266.93  Inuse:        947
% 266.51/266.93  Deleted:      10083
% 266.51/266.93  Deletedinuse: 130
% 266.51/266.93  
% 266.51/266.93  Resimplifying inuse:
% 266.51/266.93  Done
% 266.51/266.93  
% 266.51/266.93  ResCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------