%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET073-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:46:35 EDT 2022
% Result : Unsatisfiable 0.72s 1.42s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET073-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n022.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Sun Jul 10 10:58:25 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.69/1.09 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.69/1.09 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ subclass( X, 'universal_class' ) ],
% 0.69/1.09 [ ~( =( X, Y ) ), subclass( X, Y ) ],
% 0.69/1.09 [ ~( =( X, Y ) ), subclass( Y, X ) ],
% 0.69/1.09 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ],
% 0.69/1.09 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.69/1.09 ) ) ],
% 0.69/1.09 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.69/1.09 [ =( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.69/1.09 [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X, singleton( Y
% 0.69/1.09 ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.69/1.09 X, Z ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.69/1.09 Y, T ) ],
% 0.69/1.09 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.69/1.09 ), 'cross_product'( Y, T ) ) ],
% 0.69/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), =( 'ordered_pair'( first( X
% 0.69/1.09 ), second( X ) ), X ) ],
% 0.69/1.09 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.69/1.09 'universal_class' ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.69/1.09 Y ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.69/1.09 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.69/1.09 , Y ), 'element_relation' ) ],
% 0.69/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.69/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.69/1.09 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.69/1.09 Z ) ) ],
% 0.69/1.09 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.69/1.09 member( X, Y ) ],
% 0.69/1.09 [ =( complement( intersection( complement( X ), complement( Y ) ) ),
% 0.69/1.09 union( X, Y ) ) ],
% 0.69/1.09 [ =( intersection( complement( intersection( X, Y ) ), complement(
% 0.69/1.09 intersection( complement( X ), complement( Y ) ) ) ),
% 0.69/1.09 'symmetric_difference'( X, Y ) ) ],
% 0.69/1.09 [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y, Z ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ =( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X, Y ) ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( =( restrict( X, singleton( Y ), 'universal_class' ), 'null_class' )
% 0.69/1.09 ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), =( restrict( Y, singleton( X ),
% 0.69/1.09 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ],
% 0.69/1.09 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.69/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.69/1.09 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.69/1.09 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.69/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.69/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.69/1.09 Y ), rotate( T ) ) ],
% 0.69/1.09 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.69/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.69/1.09 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.69/1.09 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.69/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.69/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.69/1.09 Z ), flip( T ) ) ],
% 0.69/1.09 [ =( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) ) ),
% 0.69/1.09 inverse( X ) ) ],
% 0.69/1.09 [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.69/1.09 [ =( first( 'not_subclass_element'( restrict( X, Y, singleton( Z ) ),
% 0.69/1.09 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.69/1.09 [ =( second( 'not_subclass_element'( restrict( X, singleton( Y ), Z ),
% 0.69/1.09 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.69/1.09 [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X, Y ) )
% 0.69/1.09 ],
% 0.69/1.09 [ =( union( X, singleton( X ) ), successor( X ) ) ],
% 0.69/1.09 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.69/1.09 'universal_class' ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), =(
% 0.69/1.09 successor( X ), Y ) ],
% 0.69/1.09 [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y ),
% 0.69/1.09 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.69/1.09 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.69/1.09 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.69/1.09 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.69/1.09 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.69/1.09 [ inductive( omega ) ],
% 0.69/1.09 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.69/1.09 [ member( omega, 'universal_class' ) ],
% 0.69/1.09 [ =( 'domain_of'( restrict( 'element_relation', 'universal_class', X ) )
% 0.69/1.09 , 'sum_class'( X ) ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.69/1.09 'universal_class' ) ],
% 0.69/1.09 [ =( complement( image( 'element_relation', complement( X ) ) ),
% 0.69/1.09 'power_class'( X ) ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.69/1.09 'universal_class' ) ],
% 0.69/1.09 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.69/1.09 'universal_class' ) ) ],
% 0.69/1.09 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.69/1.09 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.69/1.09 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.69/1.09 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.69/1.09 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.69/1.09 ) ],
% 0.69/1.09 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.69/1.09 , 'identity_relation' ) ],
% 0.69/1.09 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.69/1.09 'single_valued_class'( X ) ],
% 0.69/1.09 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.69/1.09 'universal_class' ) ) ],
% 0.69/1.09 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.69/1.09 'identity_relation' ) ],
% 0.69/1.09 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.69/1.09 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.69/1.09 , function( X ) ],
% 0.69/1.09 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.69/1.09 X, Y ), 'universal_class' ) ],
% 0.69/1.09 [ =( X, 'null_class' ), member( regular( X ), X ) ],
% 0.69/1.09 [ =( X, 'null_class' ), =( intersection( X, regular( X ) ), 'null_class'
% 0.69/1.09 ) ],
% 0.69/1.09 [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ],
% 0.69/1.09 [ function( choice ) ],
% 0.69/1.09 [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' ), member(
% 0.69/1.09 apply( choice, X ), X ) ],
% 0.69/1.09 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.69/1.09 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.69/1.09 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.69/1.09 ,
% 0.69/1.09 [ =( intersection( 'cross_product'( 'universal_class', 'universal_class'
% 0.69/1.09 ), intersection( 'cross_product'( 'universal_class', 'universal_class' )
% 0.69/1.09 , complement( compose( complement( 'element_relation' ), inverse(
% 0.69/1.09 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.69/1.09 [ =( intersection( inverse( 'subset_relation' ), 'subset_relation' ),
% 0.69/1.09 'identity_relation' ) ],
% 0.69/1.09 [ =( complement( 'domain_of'( intersection( X, 'identity_relation' ) ) )
% 0.69/1.09 , diagonalise( X ) ) ],
% 0.69/1.09 [ =( intersection( 'domain_of'( X ), diagonalise( compose( inverse(
% 0.69/1.09 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.69/1.09 [ ~( operation( X ) ), function( X ) ],
% 0.69/1.09 [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'( 'domain_of'( X )
% 0.69/1.09 ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ],
% 0.69/1.09 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.42 'domain_of'( X ) ) ) ],
% 0.72/1.42 [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'( 'domain_of'( X
% 0.72/1.42 ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) ) ), ~(
% 0.72/1.42 subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ), operation(
% 0.72/1.42 X ) ],
% 0.72/1.42 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.72/1.42 [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'( Y ) ),
% 0.72/1.42 'domain_of'( X ) ) ],
% 0.72/1.42 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.42 'domain_of'( Z ) ) ) ],
% 0.72/1.42 [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) ), 'domain_of'(
% 0.72/1.42 X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( Z ) ) )
% 0.72/1.42 ), compatible( X, Y, Z ) ],
% 0.72/1.42 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.72/1.42 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.72/1.42 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.72/1.42 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.72/1.42 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T ), apply(
% 0.72/1.42 X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ],
% 0.72/1.42 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.42 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.42 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.42 , Y ) ],
% 0.72/1.42 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.72/1.42 ~( =( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z, X, Y )
% 0.72/1.42 ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply( X,
% 0.72/1.42 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z, X
% 0.72/1.42 , Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.72/1.42 [ member( x, 'universal_class' ) ],
% 0.72/1.42 [ =( 'unordered_pair'( x, y ), 'null_class' ) ]
% 0.72/1.42 ] .
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 percentage equality = 0.218579, percentage horn = 0.913978
% 0.72/1.42 This is a problem with some equality
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Options Used:
% 0.72/1.42
% 0.72/1.42 useres = 1
% 0.72/1.42 useparamod = 1
% 0.72/1.42 useeqrefl = 1
% 0.72/1.42 useeqfact = 1
% 0.72/1.42 usefactor = 1
% 0.72/1.42 usesimpsplitting = 0
% 0.72/1.42 usesimpdemod = 5
% 0.72/1.42 usesimpres = 3
% 0.72/1.42
% 0.72/1.42 resimpinuse = 1000
% 0.72/1.42 resimpclauses = 20000
% 0.72/1.42 substype = eqrewr
% 0.72/1.42 backwardsubs = 1
% 0.72/1.42 selectoldest = 5
% 0.72/1.42
% 0.72/1.42 litorderings [0] = split
% 0.72/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.42
% 0.72/1.42 termordering = kbo
% 0.72/1.42
% 0.72/1.42 litapriori = 0
% 0.72/1.42 termapriori = 1
% 0.72/1.42 litaposteriori = 0
% 0.72/1.42 termaposteriori = 0
% 0.72/1.42 demodaposteriori = 0
% 0.72/1.42 ordereqreflfact = 0
% 0.72/1.42
% 0.72/1.42 litselect = negord
% 0.72/1.42
% 0.72/1.42 maxweight = 15
% 0.72/1.42 maxdepth = 30000
% 0.72/1.42 maxlength = 115
% 0.72/1.42 maxnrvars = 195
% 0.72/1.42 excuselevel = 1
% 0.72/1.42 increasemaxweight = 1
% 0.72/1.42
% 0.72/1.42 maxselected = 10000000
% 0.72/1.42 maxnrclauses = 10000000
% 0.72/1.42
% 0.72/1.42 showgenerated = 0
% 0.72/1.42 showkept = 0
% 0.72/1.42 showselected = 0
% 0.72/1.42 showdeleted = 0
% 0.72/1.42 showresimp = 1
% 0.72/1.42 showstatus = 2000
% 0.72/1.42
% 0.72/1.42 prologoutput = 1
% 0.72/1.42 nrgoals = 5000000
% 0.72/1.42 totalproof = 1
% 0.72/1.42
% 0.72/1.42 Symbols occurring in the translation:
% 0.72/1.42
% 0.72/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.42 . [1, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.42 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 0.72/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.42 subclass [41, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.42 member [43, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.42 'not_subclass_element' [44, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.42 'universal_class' [45, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.42 'unordered_pair' [46, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.42 singleton [47, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.72/1.42 'ordered_pair' [48, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.42 'cross_product' [50, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.42 first [52, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.72/1.42 second [53, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.72/1.42 'element_relation' [54, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.42 intersection [55, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.72/1.42 complement [56, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.72/1.42 union [57, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.72/1.42 'symmetric_difference' [58, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.72/1.42 restrict [60, 3] (w:1, o:93, a:1, s:1, b:0),
% 0.72/1.42 'null_class' [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.42 'domain_of' [62, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.42 rotate [63, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.42 flip [65, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.42 inverse [66, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.42 'range_of' [67, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.72/1.42 domain [68, 3] (w:1, o:95, a:1, s:1, b:0),
% 0.72/1.42 range [69, 3] (w:1, o:96, a:1, s:1, b:0),
% 0.72/1.42 image [70, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.72/1.42 successor [71, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.42 'successor_relation' [72, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.72/1.42 inductive [73, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.42 omega [74, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.42 'sum_class' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.42 'power_class' [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.42 compose [78, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.72/1.42 'single_valued_class' [79, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.42 'identity_relation' [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.42 function [82, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.42 regular [83, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.72/1.42 apply [84, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.72/1.42 choice [85, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.42 'one_to_one' [86, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.42 'subset_relation' [87, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.42 diagonalise [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.42 cantor [89, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.42 operation [90, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.42 compatible [94, 3] (w:1, o:94, a:1, s:1, b:0),
% 0.72/1.42 homomorphism [95, 3] (w:1, o:97, a:1, s:1, b:0),
% 0.72/1.42 'not_homomorphism1' [96, 3] (w:1, o:98, a:1, s:1, b:0),
% 0.72/1.42 'not_homomorphism2' [97, 3] (w:1, o:99, a:1, s:1, b:0),
% 0.72/1.42 x [98, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.72/1.42 y [99, 0] (w:1, o:30, a:1, s:1, b:0).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Starting Search:
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Intermediate Status:
% 0.72/1.42 Generated: 5638
% 0.72/1.42 Kept: 2003
% 0.72/1.42 Inuse: 109
% 0.72/1.42 Deleted: 2
% 0.72/1.42 Deletedinuse: 2
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Intermediate Status:
% 0.72/1.42 Generated: 10552
% 0.72/1.42 Kept: 4013
% 0.72/1.42 Inuse: 192
% 0.72/1.42 Deleted: 22
% 0.72/1.42 Deletedinuse: 15
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Intermediate Status:
% 0.72/1.42 Generated: 14556
% 0.72/1.42 Kept: 6034
% 0.72/1.42 Inuse: 246
% 0.72/1.42 Deleted: 28
% 0.72/1.42 Deletedinuse: 18
% 0.72/1.42
% 0.72/1.42 Resimplifying inuse:
% 0.72/1.42 Done
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 Bliksems!, er is een bewijs:
% 0.72/1.42 % SZS status Unsatisfiable
% 0.72/1.42 % SZS output start Refutation
% 0.72/1.42
% 0.72/1.42 clause( 4, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 5, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 7, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( X, Y ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( Y, X ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 65, [ =( X, 'null_class' ), =( intersection( X, regular( X ) ),
% 0.72/1.42 'null_class' ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 90, [ member( x, 'universal_class' ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 91, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 124, [ =( X, Y ), ~( =( Y, X ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 398, [ member( x, 'null_class' ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 409, [ member( x, X ), ~( =( X, 'null_class' ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 447, [ member( x, 'unordered_pair'( X, x ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 502, [ member( x, singleton( x ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 1355, [ member( x, X ), ~( =( intersection( X, Y ), 'null_class' )
% 0.72/1.42 ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 1811, [ ~( member( x, complement( singleton( x ) ) ) ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 7093, [ member( x, X ) ] )
% 0.72/1.42 .
% 0.72/1.42 clause( 7310, [] )
% 0.72/1.42 .
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 % SZS output end Refutation
% 0.72/1.42 found a proof!
% 0.72/1.42
% 0.72/1.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.42
% 0.72/1.42 initialclauses(
% 0.72/1.42 [ clause( 7312, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 0.72/1.42 ) ] )
% 0.72/1.42 , clause( 7313, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 0.72/1.42 , Y ) ] )
% 0.72/1.42 , clause( 7314, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 0.72/1.42 subclass( X, Y ) ] )
% 0.72/1.42 , clause( 7315, [ subclass( X, 'universal_class' ) ] )
% 0.72/1.42 , clause( 7316, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.72/1.42 , clause( 7317, [ ~( =( X, Y ) ), subclass( Y, X ) ] )
% 0.72/1.42 , clause( 7318, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7319, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), =( X, Y ),
% 0.72/1.42 =( X, Z ) ] )
% 0.72/1.42 , clause( 7320, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( X, Y ) ) ] )
% 0.72/1.42 , clause( 7321, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( Y, X ) ) ] )
% 0.72/1.42 , clause( 7322, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7323, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.72/1.42 , clause( 7324, [ =( 'unordered_pair'( singleton( X ), 'unordered_pair'( X
% 0.72/1.42 , singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.72/1.42 , clause( 7325, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.72/1.42 ) ) ), member( X, Z ) ] )
% 0.72/1.42 , clause( 7326, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 0.72/1.42 ) ) ), member( Y, T ) ] )
% 0.72/1.42 , clause( 7327, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.72/1.42 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.72/1.42 , clause( 7328, [ ~( member( X, 'cross_product'( Y, Z ) ) ), =(
% 0.72/1.42 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.72/1.42 , clause( 7329, [ subclass( 'element_relation', 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7330, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.72/1.42 , member( X, Y ) ] )
% 0.72/1.42 , clause( 7331, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.72/1.42 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.72/1.42 , clause( 7332, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7333, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7334, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.72/1.42 intersection( Y, Z ) ) ] )
% 0.72/1.42 , clause( 7335, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7336, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 complement( Y ) ), member( X, Y ) ] )
% 0.72/1.42 , clause( 7337, [ =( complement( intersection( complement( X ), complement(
% 0.72/1.42 Y ) ) ), union( X, Y ) ) ] )
% 0.72/1.42 , clause( 7338, [ =( intersection( complement( intersection( X, Y ) ),
% 0.72/1.42 complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.72/1.42 'symmetric_difference'( X, Y ) ) ] )
% 0.72/1.42 , clause( 7339, [ =( intersection( X, 'cross_product'( Y, Z ) ), restrict(
% 0.72/1.42 X, Y, Z ) ) ] )
% 0.72/1.42 , clause( 7340, [ =( intersection( 'cross_product'( X, Y ), Z ), restrict(
% 0.72/1.42 Z, X, Y ) ) ] )
% 0.72/1.42 , clause( 7341, [ ~( =( restrict( X, singleton( Y ), 'universal_class' ),
% 0.72/1.42 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ] )
% 0.72/1.42 , clause( 7342, [ ~( member( X, 'universal_class' ) ), =( restrict( Y,
% 0.72/1.42 singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.72/1.42 'domain_of'( Y ) ) ] )
% 0.72/1.42 , clause( 7343, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7344, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.72/1.42 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.72/1.42 ] )
% 0.72/1.42 , clause( 7345, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.72/1.42 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.72/1.42 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.42 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.72/1.42 , Y ), rotate( T ) ) ] )
% 0.72/1.42 , clause( 7346, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7347, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.72/1.42 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7348, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.72/1.42 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.72/1.42 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.72/1.42 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.72/1.42 , Z ), flip( T ) ) ] )
% 0.72/1.42 , clause( 7349, [ =( 'domain_of'( flip( 'cross_product'( X,
% 0.72/1.42 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.72/1.42 , clause( 7350, [ =( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ] )
% 0.72/1.42 , clause( 7351, [ =( first( 'not_subclass_element'( restrict( X, Y,
% 0.72/1.42 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.72/1.42 , clause( 7352, [ =( second( 'not_subclass_element'( restrict( X, singleton(
% 0.72/1.42 Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.72/1.42 , clause( 7353, [ =( 'range_of'( restrict( X, Y, 'universal_class' ) ),
% 0.72/1.42 image( X, Y ) ) ] )
% 0.72/1.42 , clause( 7354, [ =( union( X, singleton( X ) ), successor( X ) ) ] )
% 0.72/1.42 , clause( 7355, [ subclass( 'successor_relation', 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7356, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.72/1.42 ), =( successor( X ), Y ) ] )
% 0.72/1.42 , clause( 7357, [ ~( =( successor( X ), Y ) ), ~( member( 'ordered_pair'( X
% 0.72/1.42 , Y ), 'cross_product'( 'universal_class', 'universal_class' ) ) ),
% 0.72/1.42 member( 'ordered_pair'( X, Y ), 'successor_relation' ) ] )
% 0.72/1.42 , clause( 7358, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.72/1.42 , clause( 7359, [ ~( inductive( X ) ), subclass( image(
% 0.72/1.42 'successor_relation', X ), X ) ] )
% 0.72/1.42 , clause( 7360, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.72/1.42 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.72/1.42 , clause( 7361, [ inductive( omega ) ] )
% 0.72/1.42 , clause( 7362, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.72/1.42 , clause( 7363, [ member( omega, 'universal_class' ) ] )
% 0.72/1.42 , clause( 7364, [ =( 'domain_of'( restrict( 'element_relation',
% 0.72/1.42 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.72/1.42 , clause( 7365, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.72/1.42 X ), 'universal_class' ) ] )
% 0.72/1.42 , clause( 7366, [ =( complement( image( 'element_relation', complement( X )
% 0.72/1.42 ) ), 'power_class'( X ) ) ] )
% 0.72/1.42 , clause( 7367, [ ~( member( X, 'universal_class' ) ), member(
% 0.72/1.42 'power_class'( X ), 'universal_class' ) ] )
% 0.72/1.42 , clause( 7368, [ subclass( compose( X, Y ), 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7369, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.72/1.42 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.72/1.42 , clause( 7370, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 0.72/1.42 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.72/1.42 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.72/1.42 ) ] )
% 0.72/1.42 , clause( 7371, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.72/1.42 inverse( X ) ), 'identity_relation' ) ] )
% 0.72/1.42 , clause( 7372, [ ~( subclass( compose( X, inverse( X ) ),
% 0.72/1.42 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.72/1.42 , clause( 7373, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.72/1.42 'universal_class', 'universal_class' ) ) ] )
% 0.72/1.42 , clause( 7374, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 0.72/1.42 , 'identity_relation' ) ] )
% 0.72/1.42 , clause( 7375, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.72/1.42 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.72/1.42 'identity_relation' ) ), function( X ) ] )
% 0.72/1.42 , clause( 7376, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.72/1.42 member( image( X, Y ), 'universal_class' ) ] )
% 0.72/1.42 , clause( 7377, [ =( X, 'null_class' ), member( regular( X ), X ) ] )
% 0.72/1.42 , clause( 7378, [ =( X, 'null_class' ), =( intersection( X, regular( X ) )
% 0.72/1.42 , 'null_class' ) ] )
% 0.72/1.42 , clause( 7379, [ =( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y
% 0.72/1.42 ) ) ] )
% 0.72/1.42 , clause( 7380, [ function( choice ) ] )
% 0.72/1.42 , clause( 7381, [ ~( member( X, 'universal_class' ) ), =( X, 'null_class' )
% 0.72/1.42 , member( apply( choice, X ), X ) ] )
% 0.72/1.42 , clause( 7382, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.72/1.42 , clause( 7383, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.72/1.42 , clause( 7384, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.72/1.42 'one_to_one'( X ) ] )
% 0.72/1.42 , clause( 7385, [ =( intersection( 'cross_product'( 'universal_class',
% 0.72/1.42 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.72/1.42 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.72/1.42 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.72/1.42 , clause( 7386, [ =( intersection( inverse( 'subset_relation' ),
% 0.72/1.42 'subset_relation' ), 'identity_relation' ) ] )
% 0.72/1.42 , clause( 7387, [ =( complement( 'domain_of'( intersection( X,
% 0.72/1.42 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.72/1.42 , clause( 7388, [ =( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.72/1.42 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.72/1.42 , clause( 7389, [ ~( operation( X ) ), function( X ) ] )
% 0.72/1.42 , clause( 7390, [ ~( operation( X ) ), =( 'cross_product'( 'domain_of'(
% 0.72/1.42 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.72/1.42 ] )
% 0.72/1.42 , clause( 7391, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.72/1.42 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.72/1.42 , clause( 7392, [ ~( function( X ) ), ~( =( 'cross_product'( 'domain_of'(
% 0.72/1.42 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.72/1.42 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.72/1.42 operation( X ) ] )
% 0.72/1.42 , clause( 7393, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.72/1.42 , clause( 7394, [ ~( compatible( X, Y, Z ) ), =( 'domain_of'( 'domain_of'(
% 0.72/1.42 Y ) ), 'domain_of'( X ) ) ] )
% 0.72/1.42 , clause( 7395, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.72/1.42 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.72/1.42 , clause( 7396, [ ~( function( X ) ), ~( =( 'domain_of'( 'domain_of'( Y ) )
% 0.72/1.42 , 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.72/1.42 'domain_of'( Z ) ) ) ), compatible( X, Y, Z ) ] )
% 0.72/1.42 , clause( 7397, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.72/1.42 , clause( 7398, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.72/1.42 , clause( 7399, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.72/1.42 , clause( 7400, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 0.72/1.42 T, U ), 'domain_of'( Y ) ) ), =( apply( Z, 'ordered_pair'( apply( X, T )
% 0.72/1.42 , apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7401, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.72/1.42 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.72/1.42 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.72/1.42 , Y ) ] )
% 0.72/1.42 , clause( 7402, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 0.72/1.42 Z, X, Y ) ), ~( =( apply( Y, 'ordered_pair'( apply( Z,
% 0.72/1.42 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 0.72/1.42 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 0.72/1.42 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 0.72/1.42 )
% 0.72/1.42 , clause( 7403, [ member( x, 'universal_class' ) ] )
% 0.72/1.42 , clause( 7404, [ =( 'unordered_pair'( x, y ), 'null_class' ) ] )
% 0.72/1.42 ] ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 4, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.72/1.42 , clause( 7316, [ ~( =( X, Y ) ), subclass( X, Y ) ] )
% 0.72/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.42 ), ==>( 1, 1 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 5, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ] )
% 0.72/1.42 , clause( 7318, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), =( X, Y ) ]
% 0.72/1.42 )
% 0.72/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.42 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 7, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( X, Y ) ) ] )
% 0.72/1.42 , clause( 7320, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( X, Y ) ) ] )
% 0.72/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.42 ), ==>( 1, 1 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 8, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( Y, X ) ) ] )
% 0.72/1.42 , clause( 7321, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.72/1.42 'unordered_pair'( Y, X ) ) ] )
% 0.72/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.42 ), ==>( 1, 1 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 10, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.72/1.42 , clause( 7323, [ =( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.72/1.42 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 19, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ] )
% 0.72/1.42 , clause( 7332, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.72/1.42 )
% 0.72/1.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.42
% 0.72/1.42
% 0.72/1.42 subsumption(
% 0.72/1.42 clause( 22, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 0.72/1.42 ,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------