TSTP Solution File: SET130-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET130-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 22:47:28 EDT 2022

% Result   : Timeout 300.03s 300.57s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET130-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n019.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 05:23:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.71/1.09     [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.71/1.09     [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ subclass( X, 'universal_class' ) ],
% 0.71/1.09     [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.71/1.09     [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.71/1.09     [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.71/1.09     [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.71/1.09     ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.71/1.09     ) ) ],
% 0.71/1.09     [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.71/1.09     [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.71/1.09     [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.71/1.09     ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.71/1.09    X, Z ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member( 
% 0.71/1.09    Y, T ) ],
% 0.71/1.09     [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.71/1.09     ), 'cross_product'( Y, T ) ) ],
% 0.71/1.09     [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.71/1.09     ), second( X ) ), X ) ],
% 0.71/1.09     [ subclass( 'element_relation', 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X, 
% 0.71/1.09    Y ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.71/1.09    , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.71/1.09    , Y ), 'element_relation' ) ],
% 0.71/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.71/1.09     [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.71/1.09     [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y, 
% 0.71/1.09    Z ) ) ],
% 0.71/1.09     [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ), 
% 0.71/1.09    member( X, Y ) ],
% 0.71/1.09     [ =( complement( intersection( complement( X ), complement( Y ) ) ), 
% 0.71/1.09    union( X, Y ) ) ],
% 0.71/1.09     [ =( intersection( complement( intersection( X, Y ) ), complement( 
% 0.71/1.09    intersection( complement( X ), complement( Y ) ) ) ), 
% 0.71/1.09    'symmetric_difference'( X, Y ) ) ],
% 0.71/1.09     [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.71/1.09     ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ), 
% 0.71/1.09    'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.71/1.09     [ subclass( rotate( X ), 'cross_product'( 'cross_product'( 
% 0.71/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.71/1.09     ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.71/1.09    member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'( 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ), 
% 0.71/1.09    Y ), rotate( T ) ) ],
% 0.71/1.09     [ subclass( flip( X ), 'cross_product'( 'cross_product'( 
% 0.71/1.09    'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.71/1.09    , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~( 
% 0.71/1.09    member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'( 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ), 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), 
% 0.71/1.09    Z ), flip( T ) ) ],
% 0.71/1.09     [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ), 
% 0.71/1.09    inverse( X ) ) ],
% 0.71/1.09     [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.71/1.09     [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ), 
% 0.71/1.09    'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.71/1.09     [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ), 
% 0.71/1.09    'null_class' ) ), range( X, Y, Z ) ) ],
% 0.71/1.09     [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.71/1.09     ],
% 0.71/1.09     [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.71/1.09     [ subclass( 'successor_relation', 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =( 
% 0.71/1.09    successor( X ), Y ) ],
% 0.71/1.09     [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ), 
% 0.71/1.09    'cross_product'( 'universal_class', 'universal_class' ) ) ), member( 
% 0.71/1.09    'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.71/1.09     [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.71/1.09     [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ ~( member( 'null_class', X ) ), ~( subclass( image( 
% 0.71/1.09    'successor_relation', X ), X ) ), inductive( X ) ],
% 0.71/1.09     [ inductive( omega ) ],
% 0.71/1.09     [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.71/1.09     [ member( omega, 'universal_class' ) ],
% 0.71/1.09     [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.71/1.09    , 'sum_class'( X ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ), 
% 0.71/1.09    'universal_class' ) ],
% 0.71/1.09     [ =( complement( image( 'element_relation', complement( X ) ) ), 
% 0.71/1.09    'power_class'( X ) ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ), 
% 0.71/1.09    'universal_class' ) ],
% 0.71/1.09     [ subclass( compose( X, Y ), 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y, 
% 0.71/1.09    image( Z, image( T, singleton( X ) ) ) ) ],
% 0.71/1.09     [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member( 
% 0.71/1.09    'ordered_pair'( T, X ), 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.71/1.09     ) ],
% 0.71/1.09     [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.71/1.09    , 'identity_relation' ) ],
% 0.71/1.09     [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ), 
% 0.71/1.09    'single_valued_class'( X ) ],
% 0.71/1.09     [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class', 
% 0.71/1.09    'universal_class' ) ) ],
% 0.71/1.09     [ ~( function( X ) ), subclass( compose( X, inverse( X ) ), 
% 0.71/1.09    'identity_relation' ) ],
% 0.71/1.09     [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.09     ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.71/1.09    , function( X ) ],
% 0.71/1.09     [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image( 
% 0.71/1.09    X, Y ), 'universal_class' ) ],
% 0.71/1.09     [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.71/1.09     [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.71/1.09     ) ],
% 0.71/1.09     [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.71/1.09     [ function( choice ) ],
% 0.71/1.09     [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member( 
% 0.71/1.09    apply( choice, X ), X ) ],
% 0.71/1.09     [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.71/1.09     [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.71/1.09     [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.71/1.09    ,
% 0.71/1.09     [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.71/1.09     ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.71/1.09    , complement( compose( complement( 'element_relation' ), inverse( 
% 0.71/1.09    'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.71/1.09     [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ), 
% 0.71/1.09    'identity_relation' ) ],
% 0.71/1.09     [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.71/1.09    , diagonalise( X ) ) ],
% 0.71/1.09     [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse( 
% 0.71/1.09    'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.71/1.09     [ ~( operation( X ) ), function( X ) ],
% 0.71/1.09     [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.71/1.09     ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.71/1.09     [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.40/4.81    'domain_of'( X ) ) ) ],
% 4.40/4.81     [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 4.40/4.81     ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~( 
% 4.40/4.81    subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation( 
% 4.40/4.81    X ) ],
% 4.40/4.81     [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 4.40/4.81     [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ), 
% 4.40/4.81    'domain_of'( X ) ) ],
% 4.40/4.81     [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'( 
% 4.40/4.81    'domain_of'( Z ) ) ) ],
% 4.40/4.81     [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'( 
% 4.40/4.81    X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 4.40/4.81     ), compatible( X, Y, Z ) ],
% 4.40/4.81     [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 4.40/4.81     [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 4.40/4.81     [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 4.40/4.81     [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ), 
% 4.40/4.81    'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply( 
% 4.40/4.81    X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 4.40/4.81     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.40/4.81    member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 
% 4.40/4.81    'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 4.40/4.81    , Y ) ],
% 4.40/4.81     [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ), 
% 4.40/4.81    ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 4.40/4.81     ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X, 
% 4.40/4.81    'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 4.40/4.81    , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 4.40/4.81     [ =( union( singleton( X ), Y ), 'set_builder'( X, Y ) ) ],
% 4.40/4.81     [ member( u, 'universal_class' ) ],
% 4.40/4.81     [ ~( member( u, 'set_builder'( u, 'set_builder'( y, 'set_builder'( z, 
% 4.40/4.81    'null_class' ) ) ) ) ) ]
% 4.40/4.81  ] .
% 4.40/4.81  
% 4.40/4.81  
% 4.40/4.81  percentage equality = 0.217391, percentage horn = 0.914894
% 4.40/4.81  This is a problem with some equality
% 4.40/4.81  
% 4.40/4.81  
% 4.40/4.81  
% 4.40/4.81  Options Used:
% 4.40/4.81  
% 4.40/4.81  useres =            1
% 4.40/4.81  useparamod =        1
% 4.40/4.81  useeqrefl =         1
% 4.40/4.81  useeqfact =         1
% 4.40/4.81  usefactor =         1
% 4.40/4.81  usesimpsplitting =  0
% 4.40/4.81  usesimpdemod =      5
% 4.40/4.81  usesimpres =        3
% 4.40/4.81  
% 4.40/4.81  resimpinuse      =  1000
% 4.40/4.81  resimpclauses =     20000
% 4.40/4.81  substype =          eqrewr
% 4.40/4.81  backwardsubs =      1
% 4.40/4.81  selectoldest =      5
% 4.40/4.81  
% 4.40/4.81  litorderings [0] =  split
% 4.40/4.81  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.40/4.81  
% 4.40/4.81  termordering =      kbo
% 4.40/4.81  
% 4.40/4.81  litapriori =        0
% 4.40/4.81  termapriori =       1
% 4.40/4.81  litaposteriori =    0
% 4.40/4.81  termaposteriori =   0
% 4.40/4.81  demodaposteriori =  0
% 4.40/4.81  ordereqreflfact =   0
% 4.40/4.81  
% 4.40/4.81  litselect =         negord
% 4.40/4.81  
% 4.40/4.81  maxweight =         15
% 4.40/4.81  maxdepth =          30000
% 4.40/4.81  maxlength =         115
% 4.40/4.81  maxnrvars =         195
% 4.40/4.81  excuselevel =       1
% 4.40/4.81  increasemaxweight = 1
% 4.40/4.81  
% 4.40/4.81  maxselected =       10000000
% 4.40/4.81  maxnrclauses =      10000000
% 4.40/4.81  
% 4.40/4.81  showgenerated =    0
% 4.40/4.81  showkept =         0
% 4.40/4.81  showselected =     0
% 4.40/4.81  showdeleted =      0
% 4.40/4.81  showresimp =       1
% 4.40/4.81  showstatus =       2000
% 4.40/4.81  
% 4.40/4.81  prologoutput =     1
% 4.40/4.81  nrgoals =          5000000
% 4.40/4.81  totalproof =       1
% 4.40/4.81  
% 4.40/4.81  Symbols occurring in the translation:
% 4.40/4.81  
% 4.40/4.81  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.40/4.81  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 4.40/4.81  !  [4, 1]      (w:0, o:32, a:1, s:1, b:0), 
% 4.40/4.81  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.40/4.81  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.40/4.81  subclass  [41, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 4.40/4.81  member  [43, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 4.40/4.81  'not_subclass_element'  [44, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 4.40/4.81  'universal_class'  [45, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 4.40/4.81  'unordered_pair'  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 4.40/4.81  singleton  [47, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 4.40/4.81  'ordered_pair'  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 4.40/4.81  'cross_product'  [50, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 4.40/4.81  first  [52, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 4.40/4.81  second  [53, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 4.40/4.81  'element_relation'  [54, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 4.40/4.81  intersection  [55, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 4.40/4.81  complement  [56, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 4.40/4.81  union  [57, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 4.40/4.81  'symmetric_difference'  [58, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 4.40/4.81  restrict  [60, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 87.72/88.11  'null_class'  [61, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 87.72/88.11  'domain_of'  [62, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 87.72/88.11  rotate  [63, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 87.72/88.11  flip  [65, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 87.72/88.11  inverse  [66, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 87.72/88.11  'range_of'  [67, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 87.72/88.11  domain  [68, 3]      (w:1, o:97, a:1, s:1, b:0), 
% 87.72/88.11  range  [69, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 87.72/88.11  image  [70, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 87.72/88.11  successor  [71, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 87.72/88.11  'successor_relation'  [72, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 87.72/88.11  inductive  [73, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 87.72/88.11  omega  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 87.72/88.11  'sum_class'  [75, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 87.72/88.11  'power_class'  [76, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 87.72/88.11  compose  [78, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 87.72/88.11  'single_valued_class'  [79, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 87.72/88.11  'identity_relation'  [80, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 87.72/88.11  function  [82, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 87.72/88.11  regular  [83, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 87.72/88.11  apply  [84, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 87.72/88.11  choice  [85, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 87.72/88.11  'one_to_one'  [86, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 87.72/88.11  'subset_relation'  [87, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 87.72/88.11  diagonalise  [88, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 87.72/88.11  cantor  [89, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 87.72/88.11  operation  [90, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 87.72/88.11  compatible  [94, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 87.72/88.11  homomorphism  [95, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 87.72/88.11  'not_homomorphism1'  [96, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 87.72/88.11  'not_homomorphism2'  [97, 3]      (w:1, o:101, a:1, s:1, b:0), 
% 87.72/88.11  'set_builder'  [98, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 87.72/88.11  u  [99, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 87.72/88.11  y  [100, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 87.72/88.11  z  [101, 0]      (w:1, o:31, a:1, s:1, b:0).
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Starting Search:
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    5574
% 87.72/88.11  Kept:         2004
% 87.72/88.11  Inuse:        105
% 87.72/88.11  Deleted:      2
% 87.72/88.11  Deletedinuse: 2
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    10275
% 87.72/88.11  Kept:         4015
% 87.72/88.11  Inuse:        186
% 87.72/88.11  Deleted:      21
% 87.72/88.11  Deletedinuse: 14
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    14178
% 87.72/88.11  Kept:         6018
% 87.72/88.11  Inuse:        240
% 87.72/88.11  Deleted:      25
% 87.72/88.11  Deletedinuse: 15
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    18905
% 87.72/88.11  Kept:         8027
% 87.72/88.11  Inuse:        290
% 87.72/88.11  Deleted:      83
% 87.72/88.11  Deletedinuse: 71
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    25797
% 87.72/88.11  Kept:         11006
% 87.72/88.11  Inuse:        377
% 87.72/88.11  Deleted:      94
% 87.72/88.11  Deletedinuse: 80
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    31863
% 87.72/88.11  Kept:         13091
% 87.72/88.11  Inuse:        387
% 87.72/88.11  Deleted:      100
% 87.72/88.11  Deletedinuse: 86
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    37173
% 87.72/88.11  Kept:         15113
% 87.72/88.11  Inuse:        438
% 87.72/88.11  Deleted:      100
% 87.72/88.11  Deletedinuse: 86
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    41756
% 87.72/88.11  Kept:         17141
% 87.72/88.11  Inuse:        492
% 87.72/88.11  Deleted:      102
% 87.72/88.11  Deletedinuse: 88
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    48076
% 87.72/88.11  Kept:         19166
% 87.72/88.11  Inuse:        512
% 87.72/88.11  Deleted:      102
% 87.72/88.11  Deletedinuse: 88
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying clauses:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    54755
% 87.72/88.11  Kept:         21200
% 87.72/88.11  Inuse:        554
% 87.72/88.11  Deleted:      3252
% 87.72/88.11  Deletedinuse: 88
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    61440
% 87.72/88.11  Kept:         23206
% 87.72/88.11  Inuse:        608
% 87.72/88.11  Deleted:      3252
% 87.72/88.11  Deletedinuse: 88
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    67843
% 87.72/88.11  Kept:         25232
% 87.72/88.11  Inuse:        654
% 87.72/88.11  Deleted:      3252
% 87.72/88.11  Deletedinuse: 88
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  Resimplifying inuse:
% 87.72/88.11  Done
% 87.72/88.11  
% 87.72/88.11  
% 87.72/88.11  Intermediate Status:
% 87.72/88.11  Generated:    77827
% 87.72/88.11  Kept:         28779
% 87.72/88.11  Inuse:        681
% 87.72/88.11  Deleted:      3262
% 87.72/88.11  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    82194
% 282.50/283.03  Kept:         31250
% 282.50/283.03  Inuse:        686
% 282.50/283.03  Deleted:      3262
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    86963
% 282.50/283.03  Kept:         33301
% 282.50/283.03  Inuse:        694
% 282.50/283.03  Deleted:      3262
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    95427
% 282.50/283.03  Kept:         37056
% 282.50/283.03  Inuse:        701
% 282.50/283.03  Deleted:      3262
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    100081
% 282.50/283.03  Kept:         39261
% 282.50/283.03  Inuse:        706
% 282.50/283.03  Deleted:      3262
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying clauses:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    115354
% 282.50/283.03  Kept:         42352
% 282.50/283.03  Inuse:        721
% 282.50/283.03  Deleted:      3802
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    159787
% 282.50/283.03  Kept:         44354
% 282.50/283.03  Inuse:        744
% 282.50/283.03  Deleted:      3802
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    168983
% 282.50/283.03  Kept:         46899
% 282.50/283.03  Inuse:        751
% 282.50/283.03  Deleted:      3802
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    179393
% 282.50/283.03  Kept:         49755
% 282.50/283.03  Inuse:        761
% 282.50/283.03  Deleted:      3802
% 282.50/283.03  Deletedinuse: 92
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    188759
% 282.50/283.03  Kept:         51829
% 282.50/283.03  Inuse:        773
% 282.50/283.03  Deleted:      3840
% 282.50/283.03  Deletedinuse: 130
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    197890
% 282.50/283.03  Kept:         53929
% 282.50/283.03  Inuse:        783
% 282.50/283.03  Deleted:      3840
% 282.50/283.03  Deletedinuse: 130
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    211669
% 282.50/283.03  Kept:         56197
% 282.50/283.03  Inuse:        791
% 282.50/283.03  Deleted:      3840
% 282.50/283.03  Deletedinuse: 130
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  
% 282.50/283.03  Intermediate Status:
% 282.50/283.03  Generated:    220566
% 282.50/283.03  Kept:         58504
% 282.50/283.03  Inuse:        801
% 282.50/283.03  Deleted:      3840
% 282.50/283.03  Deletedinuse: 130
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.03  Done
% 282.50/283.03  
% 282.50/283.03  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying clauses:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    229357
% 282.50/283.04  Kept:         60522
% 282.50/283.04  Inuse:        815
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    238220
% 282.50/283.04  Kept:         62605
% 282.50/283.04  Inuse:        822
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    249824
% 282.50/283.04  Kept:         64628
% 282.50/283.04  Inuse:        834
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    265370
% 282.50/283.04  Kept:         68362
% 282.50/283.04  Inuse:        846
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    276000
% 282.50/283.04  Kept:         71662
% 282.50/283.04  Inuse:        856
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    287502
% 282.50/283.04  Kept:         74604
% 282.50/283.04  Inuse:        866
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    299236
% 282.50/283.04  Kept:         77507
% 282.50/283.04  Inuse:        876
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    310975
% 282.50/283.04  Kept:         80152
% 282.50/283.04  Inuse:        886
% 282.50/283.04  Deleted:      8912
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying clauses:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    322916
% 282.50/283.04  Kept:         82783
% 282.50/283.04  Inuse:        896
% 282.50/283.04  Deleted:      9792
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    335424
% 282.50/283.04  Kept:         85860
% 282.50/283.04  Inuse:        906
% 282.50/283.04  Deleted:      9792
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    347911
% 282.50/283.04  Kept:         88647
% 282.50/283.04  Inuse:        916
% 282.50/283.04  Deleted:      9792
% 282.50/283.04  Deletedinuse: 130
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  Resimplifying inuse:
% 282.50/283.04  Done
% 282.50/283.04  
% 282.50/283.04  
% 282.50/283.04  Intermediate Status:
% 282.50/283.04  Generated:    361535
% 282.50/283.04  Kept:         90647
% 282.50/283.04  Inuse:        930
% 282.50/283.04  Deleted:      9792
% 282.50/283.04  DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------