%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET095-6 : 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 22:46:59 EDT 2022
% Result : Unsatisfiable 1.83s 2.21s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET095-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % 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 01:22:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12 [
% 0.73/1.12 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.12 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.73/1.12 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ subclass( X, 'universal_class' ) ],
% 0.73/1.12 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.73/1.12 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.73/1.12 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.73/1.12 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.73/1.12 ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.73/1.12 ) ) ],
% 0.73/1.12 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.73/1.12 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.73/1.12 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.73/1.12 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.12 X, Z ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.12 Y, T ) ],
% 0.73/1.12 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.73/1.12 ), 'cross_product'( Y, T ) ) ],
% 0.73/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.73/1.12 ), second( X ) ), X ) ],
% 0.73/1.12 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.73/1.12 Y ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.12 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.73/1.12 , Y ), 'element_relation' ) ],
% 0.73/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.73/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.73/1.12 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.73/1.12 Z ) ) ],
% 0.73/1.12 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.73/1.12 member( X, Y ) ],
% 0.73/1.12 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.73/1.12 union( X, Y ) ) ],
% 0.73/1.12 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.73/1.12 intersection( complement( X ), complement( Y ) ) ) ),
% 0.73/1.12 'symmetric_difference'( X, Y ) ) ],
% 0.73/1.12 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.73/1.12 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.73/1.12 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.73/1.12 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.73/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.73/1.12 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.12 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.73/1.12 Y ), rotate( T ) ) ],
% 0.73/1.12 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.73/1.12 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.73/1.12 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.12 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.73/1.12 Z ), flip( T ) ) ],
% 0.73/1.12 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.73/1.12 inverse( X ) ) ],
% 0.73/1.12 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.73/1.12 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.73/1.12 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.73/1.12 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.73/1.12 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.73/1.12 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.73/1.12 ],
% 0.73/1.12 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.73/1.12 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.73/1.12 successor( X ), Y ) ],
% 0.73/1.12 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.73/1.12 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.73/1.12 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.73/1.12 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.73/1.12 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.73/1.12 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.73/1.12 [ inductive( omega ) ],
% 0.73/1.12 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.73/1.12 [ member( omega, 'universal_class' ) ],
% 0.73/1.12 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.73/1.12 , 'sum_class'( X ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.73/1.12 'universal_class' ) ],
% 0.73/1.12 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.73/1.12 'power_class'( X ) ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.73/1.12 'universal_class' ) ],
% 0.73/1.12 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.73/1.12 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.73/1.12 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.73/1.12 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.73/1.12 ) ],
% 0.73/1.12 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.73/1.12 , 'identity_relation' ) ],
% 0.73/1.12 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.73/1.12 'single_valued_class'( X ) ],
% 0.73/1.12 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.73/1.12 'universal_class' ) ) ],
% 0.73/1.12 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.73/1.12 'identity_relation' ) ],
% 0.73/1.12 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.12 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.73/1.12 , function( X ) ],
% 0.73/1.12 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.73/1.12 X, Y ), 'universal_class' ) ],
% 0.73/1.12 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.73/1.12 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.73/1.12 ) ],
% 0.73/1.12 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.73/1.12 [ function( choice ) ],
% 0.73/1.12 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.73/1.12 apply( choice, X ), X ) ],
% 0.73/1.12 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.73/1.12 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.73/1.12 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.73/1.12 ,
% 0.73/1.12 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.73/1.12 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.73/1.12 , complement( compose( complement( 'element_relation' ), inverse(
% 0.73/1.12 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.73/1.12 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.73/1.12 'identity_relation' ) ],
% 0.73/1.12 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.73/1.12 , diagonalise( X ) ) ],
% 0.73/1.12 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.73/1.12 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.73/1.12 [ ~( operation( X ) ), function( X ) ],
% 0.73/1.12 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.73/1.12 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.73/1.12 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 1.83/2.21 'domain_of'( X ) ) ) ],
% 1.83/2.21 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 1.83/2.21 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 1.83/2.21 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 1.83/2.21 X ) ],
% 1.83/2.21 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 1.83/2.21 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 1.83/2.21 'domain_of'( X ) ) ],
% 1.83/2.21 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 1.83/2.21 'domain_of'( Z ) ) ) ],
% 1.83/2.21 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 1.83/2.21 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 1.83/2.21 ), compatible( X, Y, Z ) ],
% 1.83/2.21 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 1.83/2.21 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 1.83/2.21 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 1.83/2.21 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 1.83/2.21 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 1.83/2.21 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 1.83/2.21 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 1.83/2.21 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 1.83/2.21 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 1.83/2.21 , Y ) ],
% 1.83/2.21 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 1.83/2.21 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 1.83/2.21 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 1.83/2.21 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 1.83/2.21 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 1.83/2.21 [ member( x, y ) ],
% 1.83/2.21 [ ~( subclass( singleton( x ), y ) ) ]
% 1.83/2.21 ] .
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 percentage equality = 0.213115, percentage horn = 0.913978
% 1.83/2.21 This is a problem with some equality
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Options Used:
% 1.83/2.21
% 1.83/2.21 useres = 1
% 1.83/2.21 useparamod = 1
% 1.83/2.21 useeqrefl = 1
% 1.83/2.21 useeqfact = 1
% 1.83/2.21 usefactor = 1
% 1.83/2.21 usesimpsplitting = 0
% 1.83/2.21 usesimpdemod = 5
% 1.83/2.21 usesimpres = 3
% 1.83/2.21
% 1.83/2.21 resimpinuse = 1000
% 1.83/2.21 resimpclauses = 20000
% 1.83/2.21 substype = eqrewr
% 1.83/2.21 backwardsubs = 1
% 1.83/2.21 selectoldest = 5
% 1.83/2.21
% 1.83/2.21 litorderings [0] = split
% 1.83/2.21 litorderings [1] = extend the termordering, first sorting on arguments
% 1.83/2.21
% 1.83/2.21 termordering = kbo
% 1.83/2.21
% 1.83/2.21 litapriori = 0
% 1.83/2.21 termapriori = 1
% 1.83/2.21 litaposteriori = 0
% 1.83/2.21 termaposteriori = 0
% 1.83/2.21 demodaposteriori = 0
% 1.83/2.21 ordereqreflfact = 0
% 1.83/2.21
% 1.83/2.21 litselect = negord
% 1.83/2.21
% 1.83/2.21 maxweight = 15
% 1.83/2.21 maxdepth = 30000
% 1.83/2.21 maxlength = 115
% 1.83/2.21 maxnrvars = 195
% 1.83/2.21 excuselevel = 1
% 1.83/2.21 increasemaxweight = 1
% 1.83/2.21
% 1.83/2.21 maxselected = 10000000
% 1.83/2.21 maxnrclauses = 10000000
% 1.83/2.21
% 1.83/2.21 showgenerated = 0
% 1.83/2.21 showkept = 0
% 1.83/2.21 showselected = 0
% 1.83/2.21 showdeleted = 0
% 1.83/2.21 showresimp = 1
% 1.83/2.21 showstatus = 2000
% 1.83/2.21
% 1.83/2.21 prologoutput = 1
% 1.83/2.21 nrgoals = 5000000
% 1.83/2.21 totalproof = 1
% 1.83/2.21
% 1.83/2.21 Symbols occurring in the translation:
% 1.83/2.21
% 1.83/2.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.83/2.21 . [1, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.83/2.21 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 1.83/2.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.83/2.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.83/2.21 subclass [41, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.83/2.21 member [43, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.83/2.21 'not_subclass_element' [44, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.83/2.21 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.83/2.21 'unordered_pair' [46, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.83/2.21 singleton [47, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.83/2.21 'ordered_pair' [48, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.83/2.21 'cross_product' [50, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.83/2.21 first [52, 1] (w:1, o:40, a:1, s:1, b:0),
% 1.83/2.21 second [53, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.83/2.21 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.83/2.21 intersection [55, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.83/2.21 complement [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.83/2.21 union [57, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.83/2.21 'symmetric_difference' [58, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.83/2.21 restrict [60, 3] (w:1, o:93, a:1, s:1, b:0),
% 1.83/2.21 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.83/2.21 'domain_of' [62, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.83/2.21 rotate [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.83/2.21 flip [65, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.83/2.21 inverse [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.83/2.21 'range_of' [67, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.83/2.21 domain [68, 3] (w:1, o:95, a:1, s:1, b:0),
% 1.83/2.21 range [69, 3] (w:1, o:96, a:1, s:1, b:0),
% 1.83/2.21 image [70, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.83/2.21 successor [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.83/2.21 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.83/2.21 inductive [73, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.83/2.21 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.83/2.21 'sum_class' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.83/2.21 'power_class' [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.83/2.21 compose [78, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.83/2.21 'single_valued_class' [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.83/2.21 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.83/2.21 function [82, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.83/2.21 regular [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.83/2.21 apply [84, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.83/2.21 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.83/2.21 'one_to_one' [86, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.83/2.21 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 1.83/2.21 diagonalise [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.83/2.21 cantor [89, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.83/2.21 operation [90, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.83/2.21 compatible [94, 3] (w:1, o:94, a:1, s:1, b:0),
% 1.83/2.21 homomorphism [95, 3] (w:1, o:97, a:1, s:1, b:0),
% 1.83/2.21 'not_homomorphism1' [96, 3] (w:1, o:98, a:1, s:1, b:0),
% 1.83/2.21 'not_homomorphism2' [97, 3] (w:1, o:99, a:1, s:1, b:0),
% 1.83/2.21 x [98, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.83/2.21 y [99, 0] (w:1, o:30, a:1, s:1, b:0).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Starting Search:
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 4584
% 1.83/2.21 Kept: 2009
% 1.83/2.21 Inuse: 111
% 1.83/2.21 Deleted: 3
% 1.83/2.21 Deletedinuse: 2
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 9313
% 1.83/2.21 Kept: 4027
% 1.83/2.21 Inuse: 188
% 1.83/2.21 Deleted: 14
% 1.83/2.21 Deletedinuse: 5
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 13211
% 1.83/2.21 Kept: 6034
% 1.83/2.21 Inuse: 239
% 1.83/2.21 Deleted: 17
% 1.83/2.21 Deletedinuse: 6
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 18199
% 1.83/2.21 Kept: 8167
% 1.83/2.21 Inuse: 288
% 1.83/2.21 Deleted: 47
% 1.83/2.21 Deletedinuse: 34
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 25146
% 1.83/2.21 Kept: 11343
% 1.83/2.21 Inuse: 366
% 1.83/2.21 Deleted: 69
% 1.83/2.21 Deletedinuse: 54
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 32006
% 1.83/2.21 Kept: 13793
% 1.83/2.21 Inuse: 376
% 1.83/2.21 Deleted: 71
% 1.83/2.21 Deletedinuse: 56
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Intermediate Status:
% 1.83/2.21 Generated: 37411
% 1.83/2.21 Kept: 15871
% 1.83/2.21 Inuse: 436
% 1.83/2.21 Deleted: 76
% 1.83/2.21 Deletedinuse: 61
% 1.83/2.21
% 1.83/2.21 Resimplifying inuse:
% 1.83/2.21 Done
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Bliksems!, er is een bewijs:
% 1.83/2.21 % SZS status Unsatisfiable
% 1.83/2.21 % SZS output start Refutation
% 1.83/2.21
% 1.83/2.21 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 1.83/2.21 ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 1.83/2.21 ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 90, [ member( x, y ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 91, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 93, [ =( X, Y ), ~( member( X, singleton( Y ) ) ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 108, [ member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 singleton( x ) ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 116, [ ~( member( 'not_subclass_element'( singleton( x ), y ), y )
% 1.83/2.21 ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 15248, [ =( 'not_subclass_element'( singleton( x ), y ), x ) ] )
% 1.83/2.21 .
% 1.83/2.21 clause( 16506, [] )
% 1.83/2.21 .
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 % SZS output end Refutation
% 1.83/2.21 found a proof!
% 1.83/2.21
% 1.83/2.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.83/2.21
% 1.83/2.21 initialclauses(
% 1.83/2.21 [ clause( 16508, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 1.83/2.21 ) ] )
% 1.83/2.21 , clause( 16509, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 , clause( 16510, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 1.83/2.21 subclass( X, Y ) ] )
% 1.83/2.21 , clause( 16511, [ subclass( X, 'universal_class' ) ] )
% 1.83/2.21 , clause( 16512, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 1.83/2.21 , clause( 16513, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 1.83/2.21 , clause( 16514, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y )
% 1.83/2.21 ] )
% 1.83/2.21 , clause( 16515, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 1.83/2.21 =( X, Z ) ] )
% 1.83/2.21 , clause( 16516, [ ~( member( X, 'universal_class' ) ), member( X,
% 1.83/2.21 'unordered_pair'( X, Y ) ) ] )
% 1.83/2.21 , clause( 16517, [ ~( member( X, 'universal_class' ) ), member( X,
% 1.83/2.21 'unordered_pair'( Y, X ) ) ] )
% 1.83/2.21 , clause( 16518, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16519, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 1.83/2.21 , clause( 16520, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 1.83/2.21 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 1.83/2.21 , clause( 16521, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 1.83/2.21 ) ) ), member( X, Z ) ] )
% 1.83/2.21 , clause( 16522, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 1.83/2.21 ) ) ), member( Y, T ) ] )
% 1.83/2.21 , clause( 16523, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 1.83/2.21 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 1.83/2.21 , clause( 16524, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 1.83/2.21 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 1.83/2.21 , clause( 16525, [ subclass( 'element_relation', 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16526, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 1.83/2.21 ), member( X, Y ) ] )
% 1.83/2.21 , clause( 16527, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 1.83/2.21 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 1.83/2.21 , clause( 16528, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16529, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16530, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 1.83/2.21 intersection( Y, Z ) ) ] )
% 1.83/2.21 , clause( 16531, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16532, [ ~( member( X, 'universal_class' ) ), member( X,
% 1.83/2.21 complement( Y ) ), member( X, Y ) ] )
% 1.83/2.21 , clause( 16533, [ =( complement( intersection( complement( X ), complement(
% 1.83/2.21 Y ) ) ), union( X, Y ) ) ] )
% 1.83/2.21 , clause( 16534, [ =( intersection( complement( intersection( X, Y ) ),
% 1.83/2.21 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 1.83/2.21 'symmetric_difference'( X, Y ) ) ] )
% 1.83/2.21 , clause( 16535, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 1.83/2.21 X, Y, Z ) ) ] )
% 1.83/2.21 , clause( 16536, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 1.83/2.21 Z, X, Y ) ) ] )
% 1.83/2.21 , clause( 16537, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 1.83/2.21 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 1.83/2.21 , clause( 16538, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 1.83/2.21 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 1.83/2.21 'domain_of'( Y ) ) ] )
% 1.83/2.21 , clause( 16539, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16540, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 1.83/2.21 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 1.83/2.21 ] )
% 1.83/2.21 , clause( 16541, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 1.83/2.21 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 1.83/2.21 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 1.83/2.21 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 1.83/2.21 , Y ), rotate( T ) ) ] )
% 1.83/2.21 , clause( 16542, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16543, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 1.83/2.21 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16544, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 1.83/2.21 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 1.83/2.21 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 1.83/2.21 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 1.83/2.21 , Z ), flip( T ) ) ] )
% 1.83/2.21 , clause( 16545, [ =( 'domain_of'( flip( 'cross_product'( X,
% 1.83/2.21 'universal_class' ) ) ), inverse( X ) ) ] )
% 1.83/2.21 , clause( 16546, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 1.83/2.21 , clause( 16547, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 1.83/2.21 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 1.83/2.21 , clause( 16548, [ =( second( 'not_subclass_element'( restrict( X,
% 1.83/2.21 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 1.83/2.21 , clause( 16549, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 1.83/2.21 image( X, Y ) ) ] )
% 1.83/2.21 , clause( 16550, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 1.83/2.21 , clause( 16551, [ subclass( 'successor_relation', 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16552, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 1.83/2.21 ) ), =( successor( X ), Y ) ] )
% 1.83/2.21 , clause( 16553, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'(
% 1.83/2.21 X, Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 1.83/2.21 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 1.83/2.21 , clause( 16554, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 1.83/2.21 , clause( 16555, [ ~( inductive( X ) ), subclass( image(
% 1.83/2.21 'successor_relation', X ), X ) ] )
% 1.83/2.21 , clause( 16556, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 1.83/2.21 'successor_relation', X ), X ) ), inductive( X ) ] )
% 1.83/2.21 , clause( 16557, [ inductive( omega ) ] )
% 1.83/2.21 , clause( 16558, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 1.83/2.21 , clause( 16559, [ member( omega, 'universal_class' ) ] )
% 1.83/2.21 , clause( 16560, [ =( 'domain_of'( restrict( 'element_relation',
% 1.83/2.21 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 1.83/2.21 , clause( 16561, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 1.83/2.21 X ), 'universal_class' ) ] )
% 1.83/2.21 , clause( 16562, [ =( complement( image( 'element_relation', complement( X
% 1.83/2.21 ) ) ), 'power_class'( X ) ) ] )
% 1.83/2.21 , clause( 16563, [ ~( member( X, 'universal_class' ) ), member(
% 1.83/2.21 'power_class'( X ), 'universal_class' ) ] )
% 1.83/2.21 , clause( 16564, [ subclass( compose( X, Y ), 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16565, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 1.83/2.21 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 1.83/2.21 , clause( 16566, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 1.83/2.21 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 1.83/2.21 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 1.83/2.21 ) ] )
% 1.83/2.21 , clause( 16567, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 1.83/2.21 inverse( X ) ), 'identity_relation' ) ] )
% 1.83/2.21 , clause( 16568, [ ~( subclass( compose( X, inverse( X ) ),
% 1.83/2.21 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 1.83/2.21 , clause( 16569, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 1.83/2.21 'universal_class', 'universal_class' ) ) ] )
% 1.83/2.21 , clause( 16570, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 1.83/2.21 , 'identity_relation' ) ] )
% 1.83/2.21 , clause( 16571, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 1.83/2.21 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 1.83/2.21 'identity_relation' ) ), function( X ) ] )
% 1.83/2.21 , clause( 16572, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 1.83/2.21 , member( image( X, Y ), 'universal_class' ) ] )
% 1.83/2.21 , clause( 16573, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 1.83/2.21 , clause( 16574, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 1.83/2.21 , 'null_class' ) ] )
% 1.83/2.21 , clause( 16575, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X,
% 1.83/2.21 Y ) ) ] )
% 1.83/2.21 , clause( 16576, [ function( choice ) ] )
% 1.83/2.21 , clause( 16577, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class'
% 1.83/2.21 ), member( apply( choice, X ), X ) ] )
% 1.83/2.21 , clause( 16578, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 1.83/2.21 , clause( 16579, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 1.83/2.21 , clause( 16580, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 1.83/2.21 'one_to_one'( X ) ] )
% 1.83/2.21 , clause( 16581, [ =( intersection( 'cross_product'( 'universal_class',
% 1.83/2.21 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 1.83/2.21 'universal_class' ), complement( compose( complement( 'element_relation'
% 1.83/2.21 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 1.83/2.21 , clause( 16582, [ =( intersection( inverse( 'subset_relation' ),
% 1.83/2.21 'subset_relation' ), 'identity_relation' ) ] )
% 1.83/2.21 , clause( 16583, [ =( complement( 'domain_of'( intersection( X,
% 1.83/2.21 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 1.83/2.21 , clause( 16584, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 1.83/2.21 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 1.83/2.21 , clause( 16585, [ ~( operation( X ) ), function( X ) ] )
% 1.83/2.21 , clause( 16586, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 1.83/2.21 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 1.83/2.21 ] )
% 1.83/2.21 , clause( 16587, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 1.83/2.21 'domain_of'( 'domain_of'( X ) ) ) ] )
% 1.83/2.21 , clause( 16588, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 1.83/2.21 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 1.83/2.21 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 1.83/2.21 operation( X ) ] )
% 1.83/2.21 , clause( 16589, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 1.83/2.21 , clause( 16590, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 1.83/2.21 Y ) ), 'domain_of'( X ) ) ] )
% 1.83/2.21 , clause( 16591, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 1.83/2.21 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 1.83/2.21 , clause( 16592, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y )
% 1.83/2.21 ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 1.83/2.21 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 1.83/2.21 , clause( 16593, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 1.83/2.21 , clause( 16594, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 1.83/2.21 , clause( 16595, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 1.83/2.21 , clause( 16596, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 1.83/2.21 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 1.83/2.21 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16597, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 1.83/2.21 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 1.83/2.21 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 , clause( 16598, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 1.83/2.21 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 1.83/2.21 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 1.83/2.21 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 1.83/2.21 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 1.83/2.21 )
% 1.83/2.21 , clause( 16599, [ member( x, y ) ] )
% 1.83/2.21 , clause( 16600, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 ] ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 1.83/2.21 ] )
% 1.83/2.21 , clause( 16509, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.83/2.21 ), ==>( 1, 1 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 , clause( 16510, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 1.83/2.21 subclass( X, Y ) ] )
% 1.83/2.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.83/2.21 ), ==>( 1, 1 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z
% 1.83/2.21 ) ] )
% 1.83/2.21 , clause( 16515, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 1.83/2.21 =( X, Z ) ] )
% 1.83/2.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.83/2.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 1.83/2.21 , clause( 16519, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 1.83/2.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 90, [ member( x, y ) ] )
% 1.83/2.21 , clause( 16599, [ member( x, y ) ] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 91, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 , clause( 16600, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 factor(
% 1.83/2.21 clause( 16724, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y ) ] )
% 1.83/2.21 , clause( 6, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X
% 1.83/2.21 , Z ) ] )
% 1.83/2.21 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 paramod(
% 1.83/2.21 clause( 16725, [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ] )
% 1.83/2.21 , clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 1.83/2.21 , 0, clause( 16724, [ ~( member( X, 'unordered_pair'( Y, Y ) ) ), =( X, Y )
% 1.83/2.21 ] )
% 1.83/2.21 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.83/2.21 :=( Y, Y )] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 93, [ =( X, Y ), ~( member( X, singleton( Y ) ) ) ] )
% 1.83/2.21 , clause( 16725, [ ~( member( X, singleton( Y ) ) ), =( X, Y ) ] )
% 1.83/2.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.83/2.21 ), ==>( 1, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 resolution(
% 1.83/2.21 clause( 16727, [ member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 singleton( x ) ) ] )
% 1.83/2.21 , clause( 91, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 , 0, clause( 1, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 1.83/2.21 , Y ) ] )
% 1.83/2.21 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, singleton( x ) ),
% 1.83/2.21 :=( Y, y )] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 108, [ member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 singleton( x ) ) ] )
% 1.83/2.21 , clause( 16727, [ member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 singleton( x ) ) ] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 resolution(
% 1.83/2.21 clause( 16728, [ ~( member( 'not_subclass_element'( singleton( x ), y ), y
% 1.83/2.21 ) ) ] )
% 1.83/2.21 , clause( 91, [ ~( subclass( singleton( x ), y ) ) ] )
% 1.83/2.21 , 0, clause( 2, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 1.83/2.21 subclass( X, Y ) ] )
% 1.83/2.21 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, singleton( x ) ),
% 1.83/2.21 :=( Y, y )] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 116, [ ~( member( 'not_subclass_element'( singleton( x ), y ), y )
% 1.83/2.21 ) ] )
% 1.83/2.21 , clause( 16728, [ ~( member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 y ) ) ] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 eqswap(
% 1.83/2.21 clause( 16729, [ =( Y, X ), ~( member( X, singleton( Y ) ) ) ] )
% 1.83/2.21 , clause( 93, [ =( X, Y ), ~( member( X, singleton( Y ) ) ) ] )
% 1.83/2.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 resolution(
% 1.83/2.21 clause( 16730, [ =( x, 'not_subclass_element'( singleton( x ), y ) ) ] )
% 1.83/2.21 , clause( 16729, [ =( Y, X ), ~( member( X, singleton( Y ) ) ) ] )
% 1.83/2.21 , 1, clause( 108, [ member( 'not_subclass_element'( singleton( x ), y ),
% 1.83/2.21 singleton( x ) ) ] )
% 1.83/2.21 , 0, substitution( 0, [ :=( X, 'not_subclass_element'( singleton( x ), y )
% 1.83/2.21 ), :=( Y, x )] ), substitution( 1, [] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 eqswap(
% 1.83/2.21 clause( 16731, [ =( 'not_subclass_element'( singleton( x ), y ), x ) ] )
% 1.83/2.21 , clause( 16730, [ =( x, 'not_subclass_element'( singleton( x ), y ) ) ] )
% 1.83/2.21 , 0, substitution( 0, [] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 15248, [ =( 'not_subclass_element'( singleton( x ), y ), x ) ] )
% 1.83/2.21 , clause( 16731, [ =( 'not_subclass_element'( singleton( x ), y ), x ) ] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 paramod(
% 1.83/2.21 clause( 16733, [ ~( member( x, y ) ) ] )
% 1.83/2.21 , clause( 15248, [ =( 'not_subclass_element'( singleton( x ), y ), x ) ] )
% 1.83/2.21 , 0, clause( 116, [ ~( member( 'not_subclass_element'( singleton( x ), y )
% 1.83/2.21 , y ) ) ] )
% 1.83/2.21 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 resolution(
% 1.83/2.21 clause( 16734, [] )
% 1.83/2.21 , clause( 16733, [ ~( member( x, y ) ) ] )
% 1.83/2.21 , 0, clause( 90, [ member( x, y ) ] )
% 1.83/2.21 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 subsumption(
% 1.83/2.21 clause( 16506, [] )
% 1.83/2.21 , clause( 16734, [] )
% 1.83/2.21 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 end.
% 1.83/2.21
% 1.83/2.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.83/2.21
% 1.83/2.21 Memory use:
% 1.83/2.21
% 1.83/2.21 space for terms: 238265
% 1.83/2.21 space for clauses: 756471
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 clauses generated: 38826
% 1.83/2.21 clauses kept: 16507
% 1.83/2.21 clauses selected: 455
% 1.83/2.21 clauses deleted: 78
% 1.83/2.21 clauses inuse deleted: 62
% 1.83/2.21
% 1.83/2.21 subsentry: 85813
% 1.83/2.21 literals s-matched: 65133
% 1.83/2.21 literals matched: 64058
% 1.83/2.21 full subsumption: 26695
% 1.83/2.21
% 1.83/2.21 checksum: 1388670283
% 1.83/2.21
% 1.83/2.21
% 1.83/2.21 Bliksem ended
%------------------------------------------------------------------------------