%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET071-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 22:46:32 EDT 2022
% Result : Unsatisfiable 240.86s 241.28s
% Output : Refutation 240.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET071-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n009.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 : Mon Jul 11 10:21:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.11 *** allocated 10000 integers for termspace/termends
% 0.45/1.11 *** allocated 10000 integers for clauses
% 0.45/1.11 *** allocated 10000 integers for justifications
% 0.45/1.11 Bliksem 1.12
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Automatic Strategy Selection
% 0.45/1.11
% 0.45/1.11 Clauses:
% 0.45/1.11 [
% 0.45/1.11 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.45/1.11 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.45/1.11 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ subclass( X, 'universal_class' ) ],
% 0.45/1.11 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.45/1.11 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.45/1.11 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.45/1.11 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.45/1.11 ) ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.45/1.11 ) ) ],
% 0.45/1.11 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.45/1.11 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.45/1.11 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.45/1.11 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.45/1.11 X, Z ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.45/1.11 Y, T ) ],
% 0.45/1.11 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.45/1.11 ), 'cross_product'( Y, T ) ) ],
% 0.45/1.11 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.45/1.11 ), second( X ) ), X ) ],
% 0.45/1.11 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.45/1.11 'universal_class' ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.45/1.11 Y ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.45/1.11 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.45/1.11 , Y ), 'element_relation' ) ],
% 0.45/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.45/1.11 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.45/1.11 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.45/1.11 Z ) ) ],
% 0.45/1.11 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.45/1.11 member( X, Y ) ],
% 0.45/1.11 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.45/1.11 union( X, Y ) ) ],
% 0.45/1.11 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.45/1.11 intersection( complement( X ), complement( Y ) ) ) ),
% 0.45/1.11 'symmetric_difference'( X, Y ) ) ],
% 0.45/1.11 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.45/1.11 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.45/1.11 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.45/1.11 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.45/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.45/1.11 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.45/1.11 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.45/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.45/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.45/1.11 Y ), rotate( T ) ) ],
% 0.45/1.11 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.45/1.11 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.45/1.11 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.45/1.11 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.45/1.11 'cross_product'( 'universal_class', 'universal_class' ),
% 0.45/1.11 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.45/1.11 Z ), flip( T ) ) ],
% 0.45/1.11 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.45/1.11 inverse( X ) ) ],
% 0.45/1.11 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.45/1.11 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.45/1.11 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.45/1.11 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.45/1.11 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.45/1.11 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.45/1.11 ],
% 0.45/1.11 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.45/1.11 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.45/1.11 'universal_class' ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.45/1.11 successor( X ), Y ) ],
% 0.45/1.11 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.45/1.11 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.45/1.11 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.45/1.11 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.45/1.11 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.45/1.11 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.45/1.11 [ inductive( omega ) ],
% 0.45/1.11 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.45/1.11 [ member( omega, 'universal_class' ) ],
% 0.45/1.11 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.45/1.11 , 'sum_class'( X ) ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.45/1.11 'universal_class' ) ],
% 0.45/1.11 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.45/1.11 'power_class'( X ) ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.45/1.11 'universal_class' ) ],
% 0.45/1.11 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.45/1.11 'universal_class' ) ) ],
% 0.45/1.11 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.45/1.11 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.45/1.11 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.45/1.11 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.45/1.11 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.45/1.11 ) ],
% 0.45/1.11 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.45/1.11 , 'identity_relation' ) ],
% 0.45/1.11 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.45/1.11 'single_valued_class'( X ) ],
% 0.45/1.11 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.45/1.11 'universal_class' ) ) ],
% 0.45/1.11 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.45/1.11 'identity_relation' ) ],
% 0.45/1.11 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.45/1.11 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.45/1.11 , function( X ) ],
% 0.45/1.11 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.45/1.11 X, Y ), 'universal_class' ) ],
% 0.45/1.11 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.45/1.11 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.45/1.11 ) ],
% 0.45/1.11 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.45/1.11 [ function( choice ) ],
% 0.45/1.11 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.45/1.11 apply( choice, X ), X ) ],
% 0.45/1.11 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.45/1.11 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.45/1.11 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.45/1.11 ,
% 0.45/1.11 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.45/1.11 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.45/1.11 , complement( compose( complement( 'element_relation' ), inverse(
% 0.45/1.11 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.45/1.11 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.45/1.11 'identity_relation' ) ],
% 0.45/1.11 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.45/1.11 , diagonalise( X ) ) ],
% 0.45/1.11 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.45/1.11 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.45/1.11 [ ~( operation( X ) ), function( X ) ],
% 0.45/1.11 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.45/1.11 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.45/1.11 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 6.74/7.12 'domain_of'( X ) ) ) ],
% 6.74/7.12 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 6.74/7.12 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 6.74/7.12 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 6.74/7.12 X ) ],
% 6.74/7.12 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 6.74/7.12 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 6.74/7.12 'domain_of'( X ) ) ],
% 6.74/7.12 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 6.74/7.12 'domain_of'( Z ) ) ) ],
% 6.74/7.12 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 6.74/7.12 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 6.74/7.12 ), compatible( X, Y, Z ) ],
% 6.74/7.12 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 6.74/7.12 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 6.74/7.12 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 6.74/7.12 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 6.74/7.12 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 6.74/7.12 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 6.74/7.12 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 6.74/7.12 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 6.74/7.12 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 6.74/7.12 , Y ) ],
% 6.74/7.12 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 6.74/7.12 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 6.74/7.12 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 6.74/7.12 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 6.74/7.12 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 6.74/7.12 [ ~( =( 'unordered_pair'( x, y ), 'null_class' ) ) ],
% 6.74/7.12 [ ~( member( x, 'universal_class' ) ) ],
% 6.74/7.12 [ ~( member( y, 'universal_class' ) ) ]
% 6.74/7.12 ] .
% 6.74/7.12
% 6.74/7.12
% 6.74/7.12 percentage equality = 0.217391, percentage horn = 0.914894
% 6.74/7.12 This is a problem with some equality
% 6.74/7.12
% 6.74/7.12
% 6.74/7.12
% 6.74/7.12 Options Used:
% 6.74/7.12
% 6.74/7.12 useres = 1
% 6.74/7.12 useparamod = 1
% 6.74/7.12 useeqrefl = 1
% 6.74/7.12 useeqfact = 1
% 6.74/7.12 usefactor = 1
% 6.74/7.12 usesimpsplitting = 0
% 6.74/7.12 usesimpdemod = 5
% 6.74/7.12 usesimpres = 3
% 6.74/7.12
% 6.74/7.12 resimpinuse = 1000
% 6.74/7.12 resimpclauses = 20000
% 6.74/7.12 substype = eqrewr
% 6.74/7.12 backwardsubs = 1
% 6.74/7.12 selectoldest = 5
% 6.74/7.12
% 6.74/7.12 litorderings [0] = split
% 6.74/7.12 litorderings [1] = extend the termordering, first sorting on arguments
% 6.74/7.12
% 6.74/7.12 termordering = kbo
% 6.74/7.12
% 6.74/7.12 litapriori = 0
% 6.74/7.12 termapriori = 1
% 6.74/7.12 litaposteriori = 0
% 6.74/7.12 termaposteriori = 0
% 6.74/7.12 demodaposteriori = 0
% 6.74/7.12 ordereqreflfact = 0
% 6.74/7.12
% 6.74/7.12 litselect = negord
% 6.74/7.12
% 6.74/7.12 maxweight = 15
% 6.74/7.12 maxdepth = 30000
% 6.74/7.12 maxlength = 115
% 6.74/7.12 maxnrvars = 195
% 6.74/7.12 excuselevel = 1
% 6.74/7.12 increasemaxweight = 1
% 6.74/7.12
% 6.74/7.12 maxselected = 10000000
% 6.74/7.12 maxnrclauses = 10000000
% 6.74/7.12
% 6.74/7.12 showgenerated = 0
% 6.74/7.12 showkept = 0
% 6.74/7.12 showselected = 0
% 6.74/7.12 showdeleted = 0
% 6.74/7.12 showresimp = 1
% 6.74/7.12 showstatus = 2000
% 6.74/7.12
% 6.74/7.12 prologoutput = 1
% 6.74/7.12 nrgoals = 5000000
% 6.74/7.12 totalproof = 1
% 6.74/7.12
% 6.74/7.12 Symbols occurring in the translation:
% 6.74/7.12
% 6.74/7.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.74/7.12 . [1, 2] (w:1, o:56, a:1, s:1, b:0),
% 6.74/7.12 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 6.74/7.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.74/7.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.74/7.12 subclass [41, 2] (w:1, o:81, a:1, s:1, b:0),
% 6.74/7.12 member [43, 2] (w:1, o:82, a:1, s:1, b:0),
% 6.74/7.12 'not_subclass_element' [44, 2] (w:1, o:83, a:1, s:1, b:0),
% 6.74/7.12 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 6.74/7.12 'unordered_pair' [46, 2] (w:1, o:84, a:1, s:1, b:0),
% 6.74/7.12 singleton [47, 1] (w:1, o:39, a:1, s:1, b:0),
% 6.74/7.12 'ordered_pair' [48, 2] (w:1, o:85, a:1, s:1, b:0),
% 6.74/7.12 'cross_product' [50, 2] (w:1, o:86, a:1, s:1, b:0),
% 6.74/7.12 first [52, 1] (w:1, o:40, a:1, s:1, b:0),
% 6.74/7.12 second [53, 1] (w:1, o:41, a:1, s:1, b:0),
% 6.74/7.12 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 6.74/7.12 intersection [55, 2] (w:1, o:88, a:1, s:1, b:0),
% 6.74/7.12 complement [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 6.74/7.12 union [57, 2] (w:1, o:89, a:1, s:1, b:0),
% 6.74/7.12 'symmetric_difference' [58, 2] (w:1, o:90, a:1, s:1, b:0),
% 6.74/7.12 restrict [60, 3] (w:1, o:93, a:1, s:1, b:0),
% 6.74/7.12 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 99.43/99.83 'domain_of' [62, 1] (w:1, o:44, a:1, s:1, b:0),
% 99.43/99.83 rotate [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 99.43/99.83 flip [65, 1] (w:1, o:45, a:1, s:1, b:0),
% 99.43/99.83 inverse [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 99.43/99.83 'range_of' [67, 1] (w:1, o:37, a:1, s:1, b:0),
% 99.43/99.83 domain [68, 3] (w:1, o:95, a:1, s:1, b:0),
% 99.43/99.83 range [69, 3] (w:1, o:96, a:1, s:1, b:0),
% 99.43/99.83 image [70, 2] (w:1, o:87, a:1, s:1, b:0),
% 99.43/99.83 successor [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 99.43/99.83 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 99.43/99.83 inductive [73, 1] (w:1, o:48, a:1, s:1, b:0),
% 99.43/99.83 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 99.43/99.83 'sum_class' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 99.43/99.83 'power_class' [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 99.43/99.83 compose [78, 2] (w:1, o:91, a:1, s:1, b:0),
% 99.43/99.83 'single_valued_class' [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 99.43/99.83 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 99.43/99.83 function [82, 1] (w:1, o:54, a:1, s:1, b:0),
% 99.43/99.83 regular [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 99.43/99.83 apply [84, 2] (w:1, o:92, a:1, s:1, b:0),
% 99.43/99.83 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 99.43/99.83 'one_to_one' [86, 1] (w:1, o:50, a:1, s:1, b:0),
% 99.43/99.83 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 99.43/99.83 diagonalise [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 99.43/99.83 cantor [89, 1] (w:1, o:43, a:1, s:1, b:0),
% 99.43/99.83 operation [90, 1] (w:1, o:51, a:1, s:1, b:0),
% 99.43/99.83 compatible [94, 3] (w:1, o:94, a:1, s:1, b:0),
% 99.43/99.83 homomorphism [95, 3] (w:1, o:97, a:1, s:1, b:0),
% 99.43/99.83 'not_homomorphism1' [96, 3] (w:1, o:98, a:1, s:1, b:0),
% 99.43/99.83 'not_homomorphism2' [97, 3] (w:1, o:99, a:1, s:1, b:0),
% 99.43/99.83 x [98, 0] (w:1, o:29, a:1, s:1, b:0),
% 99.43/99.83 y [99, 0] (w:1, o:30, a:1, s:1, b:0).
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Starting Search:
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 4801
% 99.43/99.83 Kept: 2013
% 99.43/99.83 Inuse: 124
% 99.43/99.83 Deleted: 7
% 99.43/99.83 Deletedinuse: 4
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 10148
% 99.43/99.83 Kept: 4017
% 99.43/99.83 Inuse: 205
% 99.43/99.83 Deleted: 12
% 99.43/99.83 Deletedinuse: 6
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 14450
% 99.43/99.83 Kept: 6189
% 99.43/99.83 Inuse: 279
% 99.43/99.83 Deleted: 16
% 99.43/99.83 Deletedinuse: 9
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 20515
% 99.43/99.83 Kept: 8193
% 99.43/99.83 Inuse: 349
% 99.43/99.83 Deleted: 53
% 99.43/99.83 Deletedinuse: 44
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 27560
% 99.43/99.83 Kept: 11003
% 99.43/99.83 Inuse: 377
% 99.43/99.83 Deleted: 53
% 99.43/99.83 Deletedinuse: 44
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 33501
% 99.43/99.83 Kept: 13012
% 99.43/99.83 Inuse: 411
% 99.43/99.83 Deleted: 61
% 99.43/99.83 Deletedinuse: 47
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 38148
% 99.43/99.83 Kept: 15023
% 99.43/99.83 Inuse: 477
% 99.43/99.83 Deleted: 71
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 45827
% 99.43/99.83 Kept: 17481
% 99.43/99.83 Inuse: 497
% 99.43/99.83 Deleted: 71
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 50918
% 99.43/99.83 Kept: 19520
% 99.43/99.83 Inuse: 551
% 99.43/99.83 Deleted: 74
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying clauses:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 56946
% 99.43/99.83 Kept: 21552
% 99.43/99.83 Inuse: 594
% 99.43/99.83 Deleted: 2219
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 61881
% 99.43/99.83 Kept: 23553
% 99.43/99.83 Inuse: 638
% 99.43/99.83 Deleted: 2219
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 70866
% 99.43/99.83 Kept: 27047
% 99.43/99.83 Inuse: 678
% 99.43/99.83 Deleted: 2219
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 75226
% 99.43/99.83 Kept: 29080
% 99.43/99.83 Inuse: 683
% 99.43/99.83 Deleted: 2219
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 99.43/99.83 Done
% 99.43/99.83
% 99.43/99.83
% 99.43/99.83 Intermediate Status:
% 99.43/99.83 Generated: 89676
% 99.43/99.83 Kept: 31673
% 99.43/99.83 Inuse: 698
% 99.43/99.83 Deleted: 2219
% 99.43/99.83 Deletedinuse: 57
% 99.43/99.83
% 99.43/99.83 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 142382
% 240.86/241.27 Kept: 34022
% 240.86/241.27 Inuse: 723
% 240.86/241.27 Deleted: 2219
% 240.86/241.27 Deletedinuse: 57
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 150842
% 240.86/241.27 Kept: 36239
% 240.86/241.27 Inuse: 733
% 240.86/241.27 Deleted: 2219
% 240.86/241.27 Deletedinuse: 57
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 159109
% 240.86/241.27 Kept: 38658
% 240.86/241.27 Inuse: 743
% 240.86/241.27 Deleted: 2219
% 240.86/241.27 Deletedinuse: 57
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 168028
% 240.86/241.27 Kept: 40683
% 240.86/241.27 Inuse: 753
% 240.86/241.27 Deleted: 2219
% 240.86/241.27 Deletedinuse: 57
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying clauses:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 177546
% 240.86/241.27 Kept: 42795
% 240.86/241.27 Inuse: 763
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 187085
% 240.86/241.27 Kept: 45156
% 240.86/241.27 Inuse: 773
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 196714
% 240.86/241.27 Kept: 47266
% 240.86/241.27 Inuse: 783
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 206875
% 240.86/241.27 Kept: 49507
% 240.86/241.27 Inuse: 793
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 217170
% 240.86/241.27 Kept: 52044
% 240.86/241.27 Inuse: 803
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 227451
% 240.86/241.27 Kept: 54204
% 240.86/241.27 Inuse: 813
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 238375
% 240.86/241.27 Kept: 56647
% 240.86/241.27 Inuse: 823
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 249312
% 240.86/241.27 Kept: 59247
% 240.86/241.27 Inuse: 833
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 262555
% 240.86/241.27 Kept: 61432
% 240.86/241.27 Inuse: 843
% 240.86/241.27 Deleted: 3132
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying clauses:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 274302
% 240.86/241.27 Kept: 64028
% 240.86/241.27 Inuse: 853
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 286008
% 240.86/241.27 Kept: 66774
% 240.86/241.27 Inuse: 863
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 299279
% 240.86/241.27 Kept: 68791
% 240.86/241.27 Inuse: 877
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 315759
% 240.86/241.27 Kept: 70824
% 240.86/241.27 Inuse: 889
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 327861
% 240.86/241.27 Kept: 73382
% 240.86/241.27 Inuse: 898
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.27
% 240.86/241.27
% 240.86/241.27 Intermediate Status:
% 240.86/241.27 Generated: 339432
% 240.86/241.27 Kept: 75390
% 240.86/241.27 Inuse: 911
% 240.86/241.27 Deleted: 4078
% 240.86/241.27 Deletedinuse: 61
% 240.86/241.27
% 240.86/241.27 Resimplifying inuse:
% 240.86/241.27 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 346464
% 240.86/241.28 Kept: 77415
% 240.86/241.28 Inuse: 915
% 240.86/241.28 Deleted: 4078
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 358632
% 240.86/241.28 Kept: 81240
% 240.86/241.28 Inuse: 923
% 240.86/241.28 Deleted: 4078
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying clauses:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 371954
% 240.86/241.28 Kept: 84539
% 240.86/241.28 Inuse: 933
% 240.86/241.28 Deleted: 5671
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 385563
% 240.86/241.28 Kept: 88771
% 240.86/241.28 Inuse: 943
% 240.86/241.28 Deleted: 5671
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 399352
% 240.86/241.28 Kept: 92183
% 240.86/241.28 Inuse: 953
% 240.86/241.28 Deleted: 5671
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 419760
% 240.86/241.28 Kept: 94310
% 240.86/241.28 Inuse: 970
% 240.86/241.28 Deleted: 5671
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 441157
% 240.86/241.28 Kept: 97585
% 240.86/241.28 Inuse: 983
% 240.86/241.28 Deleted: 5671
% 240.86/241.28 Deletedinuse: 61
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 454025
% 240.86/241.28 Kept: 100619
% 240.86/241.28 Inuse: 993
% 240.86/241.28 Deleted: 5707
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying clauses:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 466519
% 240.86/241.28 Kept: 103525
% 240.86/241.28 Inuse: 1003
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 474000
% 240.86/241.28 Kept: 105599
% 240.86/241.28 Inuse: 1012
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 486420
% 240.86/241.28 Kept: 107620
% 240.86/241.28 Inuse: 1021
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 508135
% 240.86/241.28 Kept: 109718
% 240.86/241.28 Inuse: 1036
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 518802
% 240.86/241.28 Kept: 111855
% 240.86/241.28 Inuse: 1044
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 526645
% 240.86/241.28 Kept: 114451
% 240.86/241.28 Inuse: 1048
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 534712
% 240.86/241.28 Kept: 116537
% 240.86/241.28 Inuse: 1055
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 549502
% 240.86/241.28 Kept: 120477
% 240.86/241.28 Inuse: 1063
% 240.86/241.28 Deleted: 11248
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying clauses:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 557856
% 240.86/241.28 Kept: 122512
% 240.86/241.28 Inuse: 1070
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 566077
% 240.86/241.28 Kept: 125170
% 240.86/241.28 Inuse: 1073
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 574364
% 240.86/241.28 Kept: 127277
% 240.86/241.28 Inuse: 1080
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 582511
% 240.86/241.28 Kept: 129993
% 240.86/241.28 Inuse: 1083
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 590640
% 240.86/241.28 Kept: 132212
% 240.86/241.28 Inuse: 1090
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 599465
% 240.86/241.28 Kept: 134283
% 240.86/241.28 Inuse: 1094
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 607558
% 240.86/241.28 Kept: 136513
% 240.86/241.28 Inuse: 1101
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 616492
% 240.86/241.28 Kept: 138695
% 240.86/241.28 Inuse: 1105
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 623664
% 240.86/241.28 Kept: 140929
% 240.86/241.28 Inuse: 1111
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 631655
% 240.86/241.28 Kept: 145161
% 240.86/241.28 Inuse: 1113
% 240.86/241.28 Deleted: 12831
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying clauses:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 639311
% 240.86/241.28 Kept: 147285
% 240.86/241.28 Inuse: 1119
% 240.86/241.28 Deleted: 15089
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 648758
% 240.86/241.28 Kept: 152106
% 240.86/241.28 Inuse: 1123
% 240.86/241.28 Deleted: 15089
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Intermediate Status:
% 240.86/241.28 Generated: 659138
% 240.86/241.28 Kept: 157299
% 240.86/241.28 Inuse: 1128
% 240.86/241.28 Deleted: 15089
% 240.86/241.28 Deletedinuse: 97
% 240.86/241.28
% 240.86/241.28 Resimplifying inuse:
% 240.86/241.28 Done
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 Bliksems!, er is een bewijs:
% 240.86/241.28 % SZS status Unsatisfiable
% 240.86/241.28 % SZS output start Refutation
% 240.86/241.28
% 240.86/241.28 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 .
% 240.86/241.28 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 240.86/241.28 ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 4, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 5, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 240.86/241.28 ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 7, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( Y, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 9, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 11, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X,
% 240.86/241.28 singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 240.86/241.28 first( X ), second( X ) ), X ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 20, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 26, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y
% 240.86/241.28 , Z ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 27, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X
% 240.86/241.28 , Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 45, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 48, [ inductive( omega ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 72, [ =( restrict( restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class',
% 240.86/241.28 'universal_class' ), 'subset_relation' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 73, [ =( intersection( inverse( 'subset_relation' ),
% 240.86/241.28 'subset_relation' ), 'identity_relation' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 90, [ ~( =( 'unordered_pair'( x, y ), 'null_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 91, [ ~( member( x, 'universal_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 92, [ ~( member( y, 'universal_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 94, [ =( X, Y ), ~( member( X, singleton( Y ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 106, [ ~( member( y, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 107, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 108, [ ~( member( x, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 114, [ member( 'null_class', omega ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 117, [ ~( subclass( omega, X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 124, [ =( X, Y ), ~( =( Y, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 162, [ ~( =( 'unordered_pair'( X, y ), 'null_class' ) ), ~( =( X, x
% 240.86/241.28 ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 174, [ ~( member( X, Y ) ), ~( =( X, x ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 222, [ ~( =( X, 'null_class' ) ), ~( member( X, 'unordered_pair'( Y
% 240.86/241.28 , 'unordered_pair'( x, y ) ) ) ), =( X, Y ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 261, [ ~( member( X, Y ) ), ~( member( X, 'unordered_pair'( x, Z )
% 240.86/241.28 ) ), =( X, Z ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 264, [ ~( member( X, Y ) ), ~( member( X, 'unordered_pair'( Z, y )
% 240.86/241.28 ) ), =( X, Z ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 277, [ ~( member( X, 'unordered_pair'( Y, y ) ) ), =( X, Y ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 280, [ ~( member( X, 'unordered_pair'( x, Y ) ) ), =( X, Y ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 412, [ member( singleton( X ), 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 451, [ member( singleton( X ), 'ordered_pair'( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 538, [ member( 'null_class', 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 548, [ member( 'null_class', 'unordered_pair'( X, 'null_class' ) )
% 240.86/241.28 ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 1511, [ ~( member( X, complement( 'universal_class' ) ) ), ~(
% 240.86/241.28 member( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 1540, [ ~( member( X, complement( 'universal_class' ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 5712, [ =( complement( 'universal_class' ), 'null_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 6196, [ ~( member( X, 'null_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 6222, [ ~( subclass( X, 'null_class' ) ), ~( member( Y, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 7056, [ ~( member( X, 'identity_relation' ) ), member( X,
% 240.86/241.28 'subset_relation' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 8623, [ ~( subclass( 'ordered_pair'( X, Y ), 'null_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 8740, [ ~( member( X, singleton( x ) ) ), ~( member( X, Y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 9915, [ ~( member( X, singleton( x ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 9922, [ =( singleton( x ), 'null_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 9937, [ =( singleton( X ), 'null_class' ), ~( =( X, x ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 12842, [ ~( =( 'ordered_pair'( X, Y ), 'null_class' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 12872, [ ~( member( 'null_class', 'cross_product'( X, Y ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 12897, [ ~( member( 'null_class', restrict( X, Y, Z ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 23546, [ ~( =( y, x ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 23559, [ ~( =( X, x ) ), ~( =( X, y ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 36424, [ member( 'null_class', 'subset_relation' ), ~( subclass(
% 240.86/241.28 omega, 'identity_relation' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 97728, [ ~( member( 'null_class', 'subset_relation' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 97747, [ ~( subclass( omega, 'identity_relation' ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 100765, [ member( 'not_subclass_element'( omega,
% 240.86/241.28 'identity_relation' ), omega ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 132465, [ member( 'not_subclass_element'( omega,
% 240.86/241.28 'identity_relation' ), 'universal_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 153243, [ ~( member( X, 'unordered_pair'( x, y ) ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 157321, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 157324, [ ~( member( Y, X ) ) ] )
% 240.86/241.28 .
% 240.86/241.28 clause( 157325, [] )
% 240.86/241.28 .
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 % SZS output end Refutation
% 240.86/241.28 found a proof!
% 240.86/241.28
% 240.86/241.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 240.86/241.28
% 240.86/241.28 initialclauses(
% 240.86/241.28 [ clause( 157327, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z,
% 240.86/241.28 Y ) ] )
% 240.86/241.28 , clause( 157328, [ member( 'not_subclass_element'( X, Y ), X ), subclass(
% 240.86/241.28 X, Y ) ] )
% 240.86/241.28 , clause( 157329, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 240.86/241.28 subclass( X, Y ) ] )
% 240.86/241.28 , clause( 157330, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , clause( 157331, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 240.86/241.28 , clause( 157332, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 240.86/241.28 , clause( 157333, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157334, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 240.86/241.28 =( X, Z ) ] )
% 240.86/241.28 , clause( 157335, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , clause( 157336, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( Y, X ) ) ] )
% 240.86/241.28 , clause( 157337, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 157338, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 240.86/241.28 , clause( 157339, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'(
% 240.86/241.28 X, singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , clause( 157340, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z,
% 240.86/241.28 T ) ) ), member( X, Z ) ] )
% 240.86/241.28 , clause( 157341, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z,
% 240.86/241.28 T ) ) ), member( Y, T ) ] )
% 240.86/241.28 , clause( 157342, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 240.86/241.28 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 240.86/241.28 , clause( 157343, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 240.86/241.28 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 240.86/241.28 , clause( 157344, [ subclass( 'element_relation', 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157345, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 240.86/241.28 ), member( X, Y ) ] )
% 240.86/241.28 , clause( 157346, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 240.86/241.28 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 240.86/241.28 , clause( 157347, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157348, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157349, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 240.86/241.28 intersection( Y, Z ) ) ] )
% 240.86/241.28 , clause( 157350, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157351, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 complement( Y ) ), member( X, Y ) ] )
% 240.86/241.28 , clause( 157352, [ =( complement( intersection( complement( X ),
% 240.86/241.28 complement( Y ) ) ), union( X, Y ) ) ] )
% 240.86/241.28 , clause( 157353, [ =( intersection( complement( intersection( X, Y ) ),
% 240.86/241.28 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 240.86/241.28 'symmetric_difference'( X, Y ) ) ] )
% 240.86/241.28 , clause( 157354, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 240.86/241.28 X, Y, Z ) ) ] )
% 240.86/241.28 , clause( 157355, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 240.86/241.28 Z, X, Y ) ) ] )
% 240.86/241.28 , clause( 157356, [ ~( =( restrict( X, singleton( Y ), 'universal_class' )
% 240.86/241.28 , 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 240.86/241.28 , clause( 157357, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 240.86/241.28 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 240.86/241.28 'domain_of'( Y ) ) ] )
% 240.86/241.28 , clause( 157358, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157359, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z )
% 240.86/241.28 , rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T
% 240.86/241.28 ) ] )
% 240.86/241.28 , clause( 157360, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z )
% 240.86/241.28 , T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 240.86/241.28 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 240.86/241.28 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 240.86/241.28 , Y ), rotate( T ) ) ] )
% 240.86/241.28 , clause( 157361, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157362, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z )
% 240.86/241.28 , flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157363, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z )
% 240.86/241.28 , T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 240.86/241.28 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 240.86/241.28 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 240.86/241.28 , Z ), flip( T ) ) ] )
% 240.86/241.28 , clause( 157364, [ =( 'domain_of'( flip( 'cross_product'( X,
% 240.86/241.28 'universal_class' ) ) ), inverse( X ) ) ] )
% 240.86/241.28 , clause( 157365, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 240.86/241.28 , clause( 157366, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 240.86/241.28 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 240.86/241.28 , clause( 157367, [ =( second( 'not_subclass_element'( restrict( X,
% 240.86/241.28 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 240.86/241.28 , clause( 157368, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 240.86/241.28 image( X, Y ) ) ] )
% 240.86/241.28 , clause( 157369, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 240.86/241.28 , clause( 157370, [ subclass( 'successor_relation', 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157371, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 240.86/241.28 ) ), =( successor( X ), Y ) ] )
% 240.86/241.28 , clause( 157372, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 240.86/241.28 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 240.86/241.28 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 240.86/241.28 , clause( 157373, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , clause( 157374, [ ~( inductive( X ) ), subclass( image(
% 240.86/241.28 'successor_relation', X ), X ) ] )
% 240.86/241.28 , clause( 157375, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 240.86/241.28 'successor_relation', X ), X ) ), inductive( X ) ] )
% 240.86/241.28 , clause( 157376, [ inductive( omega ) ] )
% 240.86/241.28 , clause( 157377, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 240.86/241.28 , clause( 157378, [ member( omega, 'universal_class' ) ] )
% 240.86/241.28 , clause( 157379, [ =( 'domain_of'( restrict( 'element_relation',
% 240.86/241.28 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 240.86/241.28 , clause( 157380, [ ~( member( X, 'universal_class' ) ), member(
% 240.86/241.28 'sum_class'( X ), 'universal_class' ) ] )
% 240.86/241.28 , clause( 157381, [ =( complement( image( 'element_relation', complement( X
% 240.86/241.28 ) ) ), 'power_class'( X ) ) ] )
% 240.86/241.28 , clause( 157382, [ ~( member( X, 'universal_class' ) ), member(
% 240.86/241.28 'power_class'( X ), 'universal_class' ) ] )
% 240.86/241.28 , clause( 157383, [ subclass( compose( X, Y ), 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157384, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) )
% 240.86/241.28 , member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 240.86/241.28 , clause( 157385, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) )
% 240.86/241.28 ), ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class'
% 240.86/241.28 , 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z
% 240.86/241.28 ) ) ] )
% 240.86/241.28 , clause( 157386, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 240.86/241.28 inverse( X ) ), 'identity_relation' ) ] )
% 240.86/241.28 , clause( 157387, [ ~( subclass( compose( X, inverse( X ) ),
% 240.86/241.28 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 240.86/241.28 , clause( 157388, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 240.86/241.28 'universal_class', 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157389, [ ~( function( X ) ), subclass( compose( X, inverse( X )
% 240.86/241.28 ), 'identity_relation' ) ] )
% 240.86/241.28 , clause( 157390, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 240.86/241.28 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 240.86/241.28 'identity_relation' ) ), function( X ) ] )
% 240.86/241.28 , clause( 157391, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 240.86/241.28 , member( image( X, Y ), 'universal_class' ) ] )
% 240.86/241.28 , clause( 157392, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 240.86/241.28 , clause( 157393, [ =( X, 'null_class' ), =( intersection( X, regular( X )
% 240.86/241.28 ), 'null_class' ) ] )
% 240.86/241.28 , clause( 157394, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X
% 240.86/241.28 , Y ) ) ] )
% 240.86/241.28 , clause( 157395, [ function( choice ) ] )
% 240.86/241.28 , clause( 157396, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 240.86/241.28 ), member( apply( choice, X ), X ) ] )
% 240.86/241.28 , clause( 157397, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 240.86/241.28 , clause( 157398, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 240.86/241.28 , clause( 157399, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 240.86/241.28 'one_to_one'( X ) ] )
% 240.86/241.28 , clause( 157400, [ =( intersection( 'cross_product'( 'universal_class',
% 240.86/241.28 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 240.86/241.28 'universal_class' ), complement( compose( complement( 'element_relation'
% 240.86/241.28 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 240.86/241.28 , clause( 157401, [ =( intersection( inverse( 'subset_relation' ),
% 240.86/241.28 'subset_relation' ), 'identity_relation' ) ] )
% 240.86/241.28 , clause( 157402, [ =( complement( 'domain_of'( intersection( X,
% 240.86/241.28 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 240.86/241.28 , clause( 157403, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 240.86/241.28 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 240.86/241.28 , clause( 157404, [ ~( operation( X ) ), function( X ) ] )
% 240.86/241.28 , clause( 157405, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 240.86/241.28 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157406, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 240.86/241.28 'domain_of'( 'domain_of'( X ) ) ) ] )
% 240.86/241.28 , clause( 157407, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 240.86/241.28 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 240.86/241.28 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 240.86/241.28 operation( X ) ] )
% 240.86/241.28 , clause( 157408, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 240.86/241.28 , clause( 157409, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 240.86/241.28 Y ) ), 'domain_of'( X ) ) ] )
% 240.86/241.28 , clause( 157410, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 240.86/241.28 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 240.86/241.28 , clause( 157411, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 240.86/241.28 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 240.86/241.28 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 240.86/241.28 , clause( 157412, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 240.86/241.28 , clause( 157413, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 240.86/241.28 , clause( 157414, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 157415, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 240.86/241.28 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 240.86/241.28 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 157416, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 240.86/241.28 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 240.86/241.28 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 240.86/241.28 , Y ) ] )
% 240.86/241.28 , clause( 157417, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 240.86/241.28 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 240.86/241.28 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 240.86/241.28 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 240.86/241.28 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 157418, [ ~( =( 'unordered_pair'( x, y ), 'null_class' ) ) ] )
% 240.86/241.28 , clause( 157419, [ ~( member( x, 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157420, [ ~( member( y, 'universal_class' ) ) ] )
% 240.86/241.28 ] ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 157327, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z,
% 240.86/241.28 Y ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 240.86/241.28 ] )
% 240.86/241.28 , clause( 157328, [ member( 'not_subclass_element'( X, Y ), X ), subclass(
% 240.86/241.28 X, Y ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 3, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , clause( 157330, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 4, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 240.86/241.28 , clause( 157331, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 5, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ] )
% 240.86/241.28 , clause( 157333, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 240.86/241.28 ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 240.86/241.28 ) ] )
% 240.86/241.28 , clause( 157334, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 240.86/241.28 =( X, Z ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 7, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , clause( 157335, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( Y, X ) ) ] )
% 240.86/241.28 , clause( 157336, [ ~( member( X, 'universal_class' ) ), member( X,
% 240.86/241.28 'unordered_pair'( Y, X ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 9, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ] )
% 240.86/241.28 , clause( 157337, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 240.86/241.28 )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 240.86/241.28 , clause( 157338, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 11, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X,
% 240.86/241.28 singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , clause( 157339, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'(
% 240.86/241.28 X, singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 15, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'(
% 240.86/241.28 first( X ), second( X ) ), X ) ] )
% 240.86/241.28 , clause( 157343, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 240.86/241.28 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 20, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ] )
% 240.86/241.28 , clause( 157348, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z )
% 240.86/241.28 ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 240.86/241.28 , clause( 157350, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) )
% 240.86/241.28 ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 26, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y
% 240.86/241.28 , Z ) ) ] )
% 240.86/241.28 , clause( 157354, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 240.86/241.28 X, Y, Z ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 27, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X
% 240.86/241.28 , Y ) ) ] )
% 240.86/241.28 , clause( 157355, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 240.86/241.28 Z, X, Y ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 240.86/241.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 45, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , clause( 157373, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 240.86/241.28 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 48, [ inductive( omega ) ] )
% 240.86/241.28 , clause( 157376, [ inductive( omega ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 64, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 240.86/241.28 , clause( 157392, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 240.86/241.28 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 paramod(
% 240.86/241.28 clause( 157826, [ =( intersection( 'cross_product'( 'universal_class',
% 240.86/241.28 'universal_class' ), restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ) ), 'subset_relation' ) ] )
% 240.86/241.28 , clause( 27, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z
% 240.86/241.28 , X, Y ) ) ] )
% 240.86/241.28 , 0, clause( 157400, [ =( intersection( 'cross_product'( 'universal_class'
% 240.86/241.28 , 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 240.86/241.28 'universal_class' ), complement( compose( complement( 'element_relation'
% 240.86/241.28 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 240.86/241.28 , 0, 5, substitution( 0, [ :=( X, 'universal_class' ), :=( Y,
% 240.86/241.28 'universal_class' ), :=( Z, complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ) )] ),
% 240.86/241.28 substitution( 1, [] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 paramod(
% 240.86/241.28 clause( 157828, [ =( restrict( restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class',
% 240.86/241.28 'universal_class' ), 'subset_relation' ) ] )
% 240.86/241.28 , clause( 27, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z
% 240.86/241.28 , X, Y ) ) ] )
% 240.86/241.28 , 0, clause( 157826, [ =( intersection( 'cross_product'( 'universal_class'
% 240.86/241.28 , 'universal_class' ), restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ) ), 'subset_relation' ) ] )
% 240.86/241.28 , 0, 1, substitution( 0, [ :=( X, 'universal_class' ), :=( Y,
% 240.86/241.28 'universal_class' ), :=( Z, restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ) )] ), substitution( 1, [] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 72, [ =( restrict( restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class',
% 240.86/241.28 'universal_class' ), 'subset_relation' ) ] )
% 240.86/241.28 , clause( 157828, [ =( restrict( restrict( complement( compose( complement(
% 240.86/241.28 'element_relation' ), inverse( 'element_relation' ) ) ),
% 240.86/241.28 'universal_class', 'universal_class' ), 'universal_class',
% 240.86/241.28 'universal_class' ), 'subset_relation' ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 73, [ =( intersection( inverse( 'subset_relation' ),
% 240.86/241.28 'subset_relation' ), 'identity_relation' ) ] )
% 240.86/241.28 , clause( 157401, [ =( intersection( inverse( 'subset_relation' ),
% 240.86/241.28 'subset_relation' ), 'identity_relation' ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 90, [ ~( =( 'unordered_pair'( x, y ), 'null_class' ) ) ] )
% 240.86/241.28 , clause( 157418, [ ~( =( 'unordered_pair'( x, y ), 'null_class' ) ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 91, [ ~( member( x, 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157419, [ ~( member( x, 'universal_class' ) ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 92, [ ~( member( y, 'universal_class' ) ) ] )
% 240.86/241.28 , clause( 157420, [ ~( member( y, 'universal_class' ) ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 factor(
% 240.86/241.28 clause( 158028, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 , clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X
% 240.86/241.28 , Z ) ] )
% 240.86/241.28 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 paramod(
% 240.86/241.28 clause( 158029, [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ] )
% 240.86/241.28 , clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 240.86/241.28 , 0, clause( 158028, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y
% 240.86/241.28 ) ] )
% 240.86/241.28 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 240.86/241.28 :=( Y, Y )] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 94, [ =( X, Y ), ~( member( X, singleton( Y ) ) ) ] )
% 240.86/241.28 , clause( 158029, [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 240.86/241.28 ), ==>( 1, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158031, [ ~( subclass( X, 'universal_class' ) ), ~( member( y, X )
% 240.86/241.28 ) ] )
% 240.86/241.28 , clause( 92, [ ~( member( y, 'universal_class' ) ) ] )
% 240.86/241.28 , 0, clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 240.86/241.28 ) ] )
% 240.86/241.28 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 240.86/241.28 'universal_class' ), :=( Z, y )] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158032, [ ~( member( y, X ) ) ] )
% 240.86/241.28 , clause( 158031, [ ~( subclass( X, 'universal_class' ) ), ~( member( y, X
% 240.86/241.28 ) ) ] )
% 240.86/241.28 , 0, clause( 3, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 240.86/241.28 ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 106, [ ~( member( y, X ) ) ] )
% 240.86/241.28 , clause( 158032, [ ~( member( y, X ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158033, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ] )
% 240.86/241.28 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 , 0, clause( 3, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'universal_class' ), :=( Z, Y )] )
% 240.86/241.28 , substitution( 1, [ :=( X, X )] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 107, [ ~( member( X, Y ) ), member( X, 'universal_class' ) ] )
% 240.86/241.28 , clause( 158033, [ ~( member( Y, X ) ), member( Y, 'universal_class' ) ]
% 240.86/241.28 )
% 240.86/241.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 240.86/241.28 ), ==>( 1, 1 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158034, [ ~( subclass( X, 'universal_class' ) ), ~( member( x, X )
% 240.86/241.28 ) ] )
% 240.86/241.28 , clause( 91, [ ~( member( x, 'universal_class' ) ) ] )
% 240.86/241.28 , 0, clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 240.86/241.28 ) ] )
% 240.86/241.28 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 240.86/241.28 'universal_class' ), :=( Z, x )] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158035, [ ~( member( x, X ) ) ] )
% 240.86/241.28 , clause( 158034, [ ~( subclass( X, 'universal_class' ) ), ~( member( x, X
% 240.86/241.28 ) ) ] )
% 240.86/241.28 , 0, clause( 3, [ subclass( X, 'universal_class' ) ] )
% 240.86/241.28 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 240.86/241.28 ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 108, [ ~( member( x, X ) ) ] )
% 240.86/241.28 , clause( 158035, [ ~( member( x, X ) ) ] )
% 240.86/241.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158036, [ member( 'null_class', omega ) ] )
% 240.86/241.28 , clause( 45, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , 0, clause( 48, [ inductive( omega ) ] )
% 240.86/241.28 , 0, substitution( 0, [ :=( X, omega )] ), substitution( 1, [] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 114, [ member( 'null_class', omega ) ] )
% 240.86/241.28 , clause( 158036, [ member( 'null_class', omega ) ] )
% 240.86/241.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 resolution(
% 240.86/241.28 clause( 158037, [ ~( subclass( omega, X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , clause( 0, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ]
% 240.86/241.28 )
% 240.86/241.28 , 1, clause( 114, [ member( 'null_class', omega ) ] )
% 240.86/241.28 , 0, substitution( 0, [ :=( X, omega ), :=( Y, X ), :=( Z, 'null_class' )] )
% 240.86/241.28 , substitution( 1, [] )).
% 240.86/241.28
% 240.86/241.28
% 240.86/241.28 subsumption(
% 240.86/241.28 clause( 117, [ ~( subclass( omega, X ) ), member( 'null_class', X ) ] )
% 240.86/241.28 , clause( 158037, [ ~( subclass( omega, X ) ), mCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------