TSTP Solution File: SET055-7 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 22:46:12 EDT 2022
% Result : Unsatisfiable 0.44s 1.10s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Sat Jul 9 20:06:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.44/1.10 *** allocated 10000 integers for termspace/termends
% 0.44/1.10 *** allocated 10000 integers for clauses
% 0.44/1.10 *** allocated 10000 integers for justifications
% 0.44/1.10 Bliksem 1.12
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Automatic Strategy Selection
% 0.44/1.10
% 0.44/1.10 Clauses:
% 0.44/1.10 [
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( apply( X, Z ), apply( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( apply( Z, X ), apply( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( cantor( X ), cantor( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( complement( X ), complement( Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( compose( X, Z ), compose( Y, Z ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( compose( Z, X ), compose( Z, Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'cross_product'( X, Z ),
% 0.44/1.10 'cross_product'( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'cross_product'( Z, X ),
% 0.44/1.10 'cross_product'( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( diagonalise( X ), diagonalise( Y ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( X, Z ),
% 0.44/1.10 'symmetric_difference'( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( Z, X ),
% 0.44/1.10 'symmetric_difference'( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( domain( X, Z, T ), domain( Y, Z, T )
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( domain( Z, X, T ), domain( Z, Y, T )
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( domain( Z, T, X ), domain( Z, T, Y )
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'domain_of'( X ), 'domain_of'( Y ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( first( X ), first( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( flip( X ), flip( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( image( X, Z ), image( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( image( Z, X ), image( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( intersection( X, Z ), intersection( Y
% 0.44/1.10 , Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( intersection( Z, X ), intersection( Z
% 0.44/1.10 , Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( X, Z, T ),
% 0.44/1.10 'not_homomorphism1'( Y, Z, T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, X, T ),
% 0.44/1.10 'not_homomorphism1'( Z, Y, T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, T, X ),
% 0.44/1.10 'not_homomorphism1'( Z, T, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( X, Z, T ),
% 0.44/1.10 'not_homomorphism2'( Y, Z, T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, X, T ),
% 0.44/1.10 'not_homomorphism2'( Z, Y, T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, T, X ),
% 0.44/1.10 'not_homomorphism2'( Z, T, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( X, Z ),
% 0.44/1.10 'not_subclass_element'( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( Z, X ),
% 0.44/1.10 'not_subclass_element'( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( X, Z ),
% 0.44/1.10 'ordered_pair'( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( Z, X ),
% 0.44/1.10 'ordered_pair'( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'power_class'( X ), 'power_class'( Y
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( range( X, Z, T ), range( Y, Z, T ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( range( Z, X, T ), range( Z, Y, T ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( range( Z, T, X ), range( Z, T, Y ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'range_of'( X ), 'range_of'( Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( regular( X ), regular( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( restrict( X, Z, T ), restrict( Y, Z,
% 0.44/1.10 T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( restrict( Z, X, T ), restrict( Z, Y,
% 0.44/1.10 T ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( restrict( Z, T, X ), restrict( Z, T,
% 0.44/1.10 Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( rotate( X ), rotate( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( second( X ), second( Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( singleton( X ), singleton( Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( successor( X ), successor( Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'sum_class'( X ), 'sum_class'( Y ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( union( X, Z ), union( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( union( Z, X ), union( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( X, Z ),
% 0.44/1.10 'unordered_pair'( Y, Z ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( Z, X ),
% 0.44/1.10 'unordered_pair'( Z, Y ) ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( compatible( X, Z, T ) ), compatible( Y, Z, T
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( compatible( Z, X, T ) ), compatible( Z, Y, T
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( compatible( Z, T, X ) ), compatible( Z, T, Y
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( function( X ) ), function( Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( homomorphism( X, Z, T ) ), homomorphism( Y,
% 0.44/1.10 Z, T ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( homomorphism( Z, X, T ) ), homomorphism( Z,
% 0.44/1.10 Y, T ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( homomorphism( Z, T, X ) ), homomorphism( Z,
% 0.44/1.10 T, Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( inductive( X ) ), inductive( Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( member( X, Z ) ), member( Y, Z ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( 'one_to_one'( X ) ), 'one_to_one'( Y ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( operation( X ) ), operation( Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( 'single_valued_class'( X ) ),
% 0.44/1.10 'single_valued_class'( Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( subclass( X, Z ) ), subclass( Y, Z ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( subclass( Z, X ) ), subclass( Z, Y ) ],
% 0.44/1.10 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.44/1.10 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.44/1.10 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ subclass( X, 'universal_class' ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), subclass( X, Y ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), subclass( Y, X ) ],
% 0.44/1.10 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish( X, Y ) ],
% 0.44/1.10 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), equalish( X, Y ), equalish(
% 0.44/1.10 X, Z ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.44/1.10 ) ) ],
% 0.44/1.10 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.44/1.10 [ equalish( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.44/1.10 [ equalish( 'unordered_pair'( singleton( X ), 'unordered_pair'( X,
% 0.44/1.10 singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 X, Z ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 Y, T ) ],
% 0.44/1.10 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.44/1.10 ), 'cross_product'( Y, T ) ) ],
% 0.44/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), equalish( 'ordered_pair'(
% 0.44/1.10 first( X ), second( X ) ), X ) ],
% 0.44/1.10 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.44/1.10 Y ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.44/1.10 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.44/1.10 , Y ), 'element_relation' ) ],
% 0.44/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.44/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.44/1.10 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.44/1.10 Z ) ) ],
% 0.44/1.10 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.44/1.10 member( X, Y ) ],
% 0.44/1.10 [ equalish( complement( intersection( complement( X ), complement( Y ) )
% 0.44/1.10 ), union( X, Y ) ) ],
% 0.44/1.10 [ equalish( intersection( complement( intersection( X, Y ) ), complement(
% 0.44/1.10 intersection( complement( X ), complement( Y ) ) ) ),
% 0.44/1.10 'symmetric_difference'( X, Y ) ) ],
% 0.44/1.10 [ equalish( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y,
% 0.44/1.10 Z ) ) ],
% 0.44/1.10 [ equalish( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X,
% 0.44/1.10 Y ) ) ],
% 0.44/1.10 [ ~( equalish( restrict( X, singleton( Y ), 'universal_class' ),
% 0.44/1.10 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), equalish( restrict( Y, singleton(
% 0.44/1.10 X ), 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.44/1.10 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.44/1.10 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.44/1.10 'cross_product'( 'universal_class', 'universal_class' ),
% 0.44/1.10 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.44/1.10 Y ), rotate( T ) ) ],
% 0.44/1.10 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.44/1.10 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.44/1.10 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.44/1.10 'cross_product'( 'universal_class', 'universal_class' ),
% 0.44/1.10 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.44/1.10 Z ), flip( T ) ) ],
% 0.44/1.10 [ equalish( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) )
% 0.44/1.10 ), inverse( X ) ) ],
% 0.44/1.10 [ equalish( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.44/1.10 [ equalish( first( 'not_subclass_element'( restrict( X, Y, singleton( Z
% 0.44/1.10 ) ), 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.44/1.10 [ equalish( second( 'not_subclass_element'( restrict( X, singleton( Y )
% 0.44/1.10 , Z ), 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.44/1.10 [ equalish( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X
% 0.44/1.10 , Y ) ) ],
% 0.44/1.10 [ equalish( union( X, singleton( X ) ), successor( X ) ) ],
% 0.44/1.10 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), equalish(
% 0.44/1.10 successor( X ), Y ) ],
% 0.44/1.10 [ ~( equalish( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y )
% 0.44/1.10 , 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.44/1.10 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.44/1.10 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.44/1.10 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.44/1.10 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.44/1.10 [ inductive( omega ) ],
% 0.44/1.10 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.44/1.10 [ member( omega, 'universal_class' ) ],
% 0.44/1.10 [ equalish( 'domain_of'( restrict( 'element_relation', 'universal_class'
% 0.44/1.10 , X ) ), 'sum_class'( X ) ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.44/1.10 'universal_class' ) ],
% 0.44/1.10 [ equalish( complement( image( 'element_relation', complement( X ) ) ),
% 0.44/1.10 'power_class'( X ) ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.44/1.10 'universal_class' ) ],
% 0.44/1.10 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.44/1.10 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.44/1.10 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.44/1.10 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.44/1.10 ) ],
% 0.44/1.10 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.44/1.10 , 'identity_relation' ) ],
% 0.44/1.10 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.44/1.10 'single_valued_class'( X ) ],
% 0.44/1.10 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ],
% 0.44/1.10 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.44/1.10 'identity_relation' ) ],
% 0.44/1.10 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.44/1.10 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.44/1.10 , function( X ) ],
% 0.44/1.10 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.44/1.10 X, Y ), 'universal_class' ) ],
% 0.44/1.10 [ equalish( X, 'null_class' ), member( regular( X ), X ) ],
% 0.44/1.10 [ equalish( X, 'null_class' ), equalish( intersection( X, regular( X ) )
% 0.44/1.10 , 'null_class' ) ],
% 0.44/1.10 [ equalish( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ function( choice ) ],
% 0.44/1.10 [ ~( member( X, 'universal_class' ) ), equalish( X, 'null_class' ),
% 0.44/1.10 member( apply( choice, X ), X ) ],
% 0.44/1.10 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.44/1.10 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.44/1.10 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ equalish( intersection( 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.44/1.10 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.44/1.10 [ equalish( intersection( inverse( 'subset_relation' ),
% 0.44/1.10 'subset_relation' ), 'identity_relation' ) ],
% 0.44/1.10 [ equalish( complement( 'domain_of'( intersection( X,
% 0.44/1.10 'identity_relation' ) ) ), diagonalise( X ) ) ],
% 0.44/1.10 [ equalish( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.44/1.10 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.44/1.10 [ ~( operation( X ) ), function( X ) ],
% 0.44/1.10 [ ~( operation( X ) ), equalish( 'cross_product'( 'domain_of'(
% 0.44/1.10 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.44/1.10 ],
% 0.44/1.10 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.44/1.10 'domain_of'( X ) ) ) ],
% 0.44/1.10 [ ~( function( X ) ), ~( equalish( 'cross_product'( 'domain_of'(
% 0.44/1.10 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.44/1.10 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.44/1.10 operation( X ) ],
% 0.44/1.10 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.44/1.10 [ ~( compatible( X, Y, Z ) ), equalish( 'domain_of'( 'domain_of'( Y ) )
% 0.44/1.10 , 'domain_of'( X ) ) ],
% 0.44/1.10 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.44/1.10 'domain_of'( Z ) ) ) ],
% 0.44/1.10 [ ~( function( X ) ), ~( equalish( 'domain_of'( 'domain_of'( Y ) ),
% 0.44/1.10 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.44/1.10 'domain_of'( Z ) ) ) ), compatible( T, Y, Z ) ],
% 0.44/1.10 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.44/1.10 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.44/1.10 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.44/1.10 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.44/1.10 'domain_of'( Y ) ) ), equalish( apply( Z, 'ordered_pair'( apply( X, T ),
% 0.44/1.10 apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.44/1.10 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.44/1.10 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.44/1.10 , Y ) ],
% 0.44/1.10 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.44/1.10 ~( equalish( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z,
% 0.44/1.10 X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply(
% 0.44/1.10 X, 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z
% 0.44/1.10 , X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 X, 'unordered_pair'( X, Y ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 Y, 'unordered_pair'( X, Y ) ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 X, 'universal_class' ) ],
% 0.44/1.10 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.44/1.10 Y, 'universal_class' ) ],
% 0.44/1.10 [ subclass( X, X ) ],
% 0.44/1.10 [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X, Z ) ],
% 0.44/1.10 [ ~( equalish( x, x ) ) ]
% 0.44/1.10 ] .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 percentage equality = 0.000000, percentage horn = 0.951515
% 0.44/1.10 This is a near-Horn, non-equality problem
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Options Used:
% 0.44/1.10
% 0.44/1.10 useres = 1
% 0.44/1.10 useparamod = 0
% 0.44/1.10 useeqrefl = 0
% 0.44/1.10 useeqfact = 0
% 0.44/1.10 usefactor = 1
% 0.44/1.10 usesimpsplitting = 0
% 0.44/1.10 usesimpdemod = 0
% 0.44/1.10 usesimpres = 4
% 0.44/1.10
% 0.44/1.10 resimpinuse = 1000
% 0.44/1.10 resimpclauses = 20000
% 0.44/1.10 substype = standard
% 0.44/1.10 backwardsubs = 1
% 0.44/1.10 selectoldest = 5
% 0.44/1.10
% 0.44/1.10 litorderings [0] = split
% 0.44/1.10 litorderings [1] = liftord
% 0.44/1.10
% 0.44/1.10 termordering = none
% 0.44/1.10
% 0.44/1.10 litapriori = 1
% 0.44/1.10 termapriori = 0
% 0.44/1.10 litaposteriori = 0
% 0.44/1.10 termaposteriori = 0
% 0.44/1.10 demodaposteriori = 0
% 0.44/1.10 ordereqreflfact = 0
% 0.44/1.10
% 0.44/1.10 litselect = negative
% 0.44/1.10
% 0.44/1.10 maxweight = 30000
% 0.44/1.10 maxdepth = 30000
% 0.44/1.10 maxlength = 115
% 0.44/1.10 maxnrvars = 195
% 0.44/1.10 excuselevel = 0
% 0.44/1.10 increasemaxweight = 0
% 0.44/1.10
% 0.44/1.10 maxselected = 10000000
% 0.44/1.10 maxnrclauses = 10000000
% 0.44/1.10
% 0.44/1.10 showgenerated = 0
% 0.44/1.10 showkept = 0
% 0.44/1.10 showselected = 0
% 0.44/1.10 showdeleted = 0
% 0.44/1.10 showresimp = 1
% 0.44/1.10 showstatus = 2000
% 0.44/1.10
% 0.44/1.10 prologoutput = 1
% 0.44/1.10 nrgoals = 5000000
% 0.44/1.10 totalproof = 1
% 0.44/1.10
% 0.44/1.10 Symbols occurring in the translation:
% 0.44/1.10
% 0.44/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.10 . [1, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.44/1.10 ! [4, 1] (w:1, o:221, a:1, s:1, b:0),
% 0.44/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 equalish [41, 2] (w:1, o:271, a:1, s:1, b:0),
% 0.44/1.10 apply [46, 2] (w:1, o:272, a:1, s:1, b:0),
% 0.44/1.10 cantor [52, 1] (w:1, o:226, a:1, s:1, b:0),
% 0.44/1.10 complement [55, 1] (w:1, o:227, a:1, s:1, b:0),
% 0.44/1.10 compose [59, 2] (w:1, o:273, a:1, s:1, b:0),
% 0.44/1.10 'cross_product' [66, 2] (w:1, o:274, a:1, s:1, b:0),
% 0.44/1.10 diagonalise [69, 1] (w:1, o:228, a:1, s:1, b:0),
% 0.44/1.10 'symmetric_difference' [73, 2] (w:1, o:275, a:1, s:1, b:0),
% 0.44/1.10 domain [81, 3] (w:1, o:285, a:1, s:1, b:0),
% 0.44/1.10 'domain_of' [92, 1] (w:1, o:229, a:1, s:1, b:0),
% 0.44/1.10 first [95, 1] (w:1, o:230, a:1, s:1, b:0),
% 0.44/1.10 flip [98, 1] (w:1, o:231, a:1, s:1, b:0),
% 0.44/1.10 image [102, 2] (w:1, o:276, a:1, s:1, b:0),
% 0.44/1.10 intersection [109, 2] (w:1, o:277, a:1, s:1, b:0),
% 0.44/1.10 inverse [115, 1] (w:1, o:232, a:1, s:1, b:0),
% 0.44/1.10 'not_homomorphism1' [120, 3] (w:1, o:286, a:1, s:1, b:0),
% 0.44/1.10 'not_homomorphism2' [133, 3] (w:1, o:287, a:1, s:1, b:0),
% 0.44/1.10 'not_subclass_element' [145, 2] (w:1, o:279, a:1, s:1, b:0),
% 0.44/1.10 'ordered_pair' [152, 2] (w:1, o:280, a:1, s:1, b:0),
% 0.44/1.10 'power_class' [158, 1] (w:1, o:235, a:1, s:1, b:0),
% 0.44/1.10 range [163, 3] (w:1, o:288, a:1, s:1, b:0),
% 0.44/1.10 'range_of' [174, 1] (w:1, o:236, a:1, s:1, b:0),
% 0.44/1.10 regular [177, 1] (w:1, o:237, a:1, s:1, b:0),
% 0.44/1.10 restrict [182, 3] (w:1, o:289, a:1, s:1, b:0),
% 0.44/1.10 rotate [193, 1] (w:1, o:238, a:1, s:1, b:0),
% 0.44/1.10 second [196, 1] (w:1, o:239, a:1, s:1, b:0),
% 0.44/1.10 singleton [199, 1] (w:1, o:240, a:1, s:1, b:0),
% 0.44/1.10 successor [202, 1] (w:1, o:241, a:1, s:1, b:0),
% 0.44/1.10 'sum_class' [205, 1] (w:1, o:242, a:1, s:1, b:0),
% 0.44/1.10 union [209, 2] (w:1, o:281, a:1, s:1, b:0),
% 0.44/1.10 'unordered_pair' [216, 2] (w:1, o:282, a:1, s:1, b:0),
% 0.44/1.10 compatible [224, 3] (w:1, o:284, a:1, s:1, b:0),
% 0.44/1.10 function [235, 1] (w:1, o:243, a:1, s:1, b:0),
% 0.44/1.10 homomorphism [240, 3] (w:1, o:290, a:1, s:1, b:0),
% 0.44/1.10 inductive [251, 1] (w:1, o:244, a:1, s:1, b:0),
% 0.44/1.10 member [255, 2] (w:1, o:278, a:1, s:1, b:0),
% 0.44/1.10 'one_to_one' [261, 1] (w:1, o:233, a:1, s:1, b:0),
% 0.44/1.10 operation [264, 1] (w:1, o:234, a:1, s:1, b:0),
% 0.44/1.10 'single_valued_class' [267, 1] (w:1, o:245, a:1, s:1, b:0),
% 0.44/1.10 subclass [271, 2] (w:1, o:283, a:1, s:1, b:0),
% 0.44/1.10 'universal_class' [275, 0] (w:1, o:215, a:1, s:1, b:0),
% 0.44/1.10 'element_relation' [276, 0] (w:1, o:216, a:1, s:1, b:0),
% 0.44/1.10 'null_class' [278, 0] (w:1, o:217, a:1, s:1, b:0),
% 0.44/1.10 'successor_relation' [279, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.44/1.10 omega [280, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/1.10 'identity_relation' [282, 0] (w:1, o:218, a:1, s:1, b:0),
% 0.44/1.10 choice [284, 0] (w:1, o:219, a:1, s:1, b:0),
% 0.44/1.10 'subset_relation' [285, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.44/1.10 x [290, 0] (w:1, o:220, a:1, s:1, b:0).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Starting Search:
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksems!, er is een bewijs:
% 0.44/1.10 % SZS status Unsatisfiable
% 0.44/1.10 % SZS output start Refutation
% 0.44/1.10
% 0.44/1.10 clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X )
% 0.44/1.10 ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 162, [ subclass( X, X ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 164, [ ~( equalish( x, x ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 165, [ equalish( X, X ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 173, [] )
% 0.44/1.10 .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 % SZS output end Refutation
% 0.44/1.10 found a proof!
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 initialclauses(
% 0.44/1.10 [ clause( 175, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 0.44/1.10 , clause( 176, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.44/1.10 , Z ) ] )
% 0.44/1.10 , clause( 177, [ ~( equalish( X, Y ) ), equalish( apply( X, Z ), apply( Y,
% 0.44/1.10 Z ) ) ] )
% 0.44/1.10 , clause( 178, [ ~( equalish( X, Y ) ), equalish( apply( Z, X ), apply( Z,
% 0.44/1.10 Y ) ) ] )
% 0.44/1.10 , clause( 179, [ ~( equalish( X, Y ) ), equalish( cantor( X ), cantor( Y )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 180, [ ~( equalish( X, Y ) ), equalish( complement( X ),
% 0.44/1.10 complement( Y ) ) ] )
% 0.44/1.10 , clause( 181, [ ~( equalish( X, Y ) ), equalish( compose( X, Z ), compose(
% 0.44/1.10 Y, Z ) ) ] )
% 0.44/1.10 , clause( 182, [ ~( equalish( X, Y ) ), equalish( compose( Z, X ), compose(
% 0.44/1.10 Z, Y ) ) ] )
% 0.44/1.10 , clause( 183, [ ~( equalish( X, Y ) ), equalish( 'cross_product'( X, Z ),
% 0.44/1.10 'cross_product'( Y, Z ) ) ] )
% 0.44/1.10 , clause( 184, [ ~( equalish( X, Y ) ), equalish( 'cross_product'( Z, X ),
% 0.44/1.10 'cross_product'( Z, Y ) ) ] )
% 0.44/1.10 , clause( 185, [ ~( equalish( X, Y ) ), equalish( diagonalise( X ),
% 0.44/1.10 diagonalise( Y ) ) ] )
% 0.44/1.10 , clause( 186, [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( X
% 0.44/1.10 , Z ), 'symmetric_difference'( Y, Z ) ) ] )
% 0.44/1.10 , clause( 187, [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( Z
% 0.44/1.10 , X ), 'symmetric_difference'( Z, Y ) ) ] )
% 0.44/1.10 , clause( 188, [ ~( equalish( X, Y ) ), equalish( domain( X, Z, T ), domain(
% 0.44/1.10 Y, Z, T ) ) ] )
% 0.44/1.10 , clause( 189, [ ~( equalish( X, Y ) ), equalish( domain( Z, X, T ), domain(
% 0.44/1.10 Z, Y, T ) ) ] )
% 0.44/1.10 , clause( 190, [ ~( equalish( X, Y ) ), equalish( domain( Z, T, X ), domain(
% 0.44/1.10 Z, T, Y ) ) ] )
% 0.44/1.10 , clause( 191, [ ~( equalish( X, Y ) ), equalish( 'domain_of'( X ),
% 0.44/1.10 'domain_of'( Y ) ) ] )
% 0.44/1.10 , clause( 192, [ ~( equalish( X, Y ) ), equalish( first( X ), first( Y ) )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 193, [ ~( equalish( X, Y ) ), equalish( flip( X ), flip( Y ) ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 194, [ ~( equalish( X, Y ) ), equalish( image( X, Z ), image( Y,
% 0.44/1.10 Z ) ) ] )
% 0.44/1.10 , clause( 195, [ ~( equalish( X, Y ) ), equalish( image( Z, X ), image( Z,
% 0.44/1.10 Y ) ) ] )
% 0.44/1.10 , clause( 196, [ ~( equalish( X, Y ) ), equalish( intersection( X, Z ),
% 0.44/1.10 intersection( Y, Z ) ) ] )
% 0.44/1.10 , clause( 197, [ ~( equalish( X, Y ) ), equalish( intersection( Z, X ),
% 0.44/1.10 intersection( Z, Y ) ) ] )
% 0.44/1.10 , clause( 198, [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , clause( 199, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( X, Z
% 0.44/1.10 , T ), 'not_homomorphism1'( Y, Z, T ) ) ] )
% 0.44/1.10 , clause( 200, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, X
% 0.44/1.10 , T ), 'not_homomorphism1'( Z, Y, T ) ) ] )
% 0.44/1.10 , clause( 201, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, T
% 0.44/1.10 , X ), 'not_homomorphism1'( Z, T, Y ) ) ] )
% 0.44/1.10 , clause( 202, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( X, Z
% 0.44/1.10 , T ), 'not_homomorphism2'( Y, Z, T ) ) ] )
% 0.44/1.10 , clause( 203, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, X
% 0.44/1.10 , T ), 'not_homomorphism2'( Z, Y, T ) ) ] )
% 0.44/1.10 , clause( 204, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, T
% 0.44/1.10 , X ), 'not_homomorphism2'( Z, T, Y ) ) ] )
% 0.44/1.10 , clause( 205, [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( X
% 0.44/1.10 , Z ), 'not_subclass_element'( Y, Z ) ) ] )
% 0.44/1.10 , clause( 206, [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( Z
% 0.44/1.10 , X ), 'not_subclass_element'( Z, Y ) ) ] )
% 0.44/1.10 , clause( 207, [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( X, Z ),
% 0.44/1.10 'ordered_pair'( Y, Z ) ) ] )
% 0.44/1.10 , clause( 208, [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( Z, X ),
% 0.44/1.10 'ordered_pair'( Z, Y ) ) ] )
% 0.44/1.10 , clause( 209, [ ~( equalish( X, Y ) ), equalish( 'power_class'( X ),
% 0.44/1.10 'power_class'( Y ) ) ] )
% 0.44/1.10 , clause( 210, [ ~( equalish( X, Y ) ), equalish( range( X, Z, T ), range(
% 0.44/1.10 Y, Z, T ) ) ] )
% 0.44/1.10 , clause( 211, [ ~( equalish( X, Y ) ), equalish( range( Z, X, T ), range(
% 0.44/1.10 Z, Y, T ) ) ] )
% 0.44/1.10 , clause( 212, [ ~( equalish( X, Y ) ), equalish( range( Z, T, X ), range(
% 0.44/1.10 Z, T, Y ) ) ] )
% 0.44/1.10 , clause( 213, [ ~( equalish( X, Y ) ), equalish( 'range_of'( X ),
% 0.44/1.10 'range_of'( Y ) ) ] )
% 0.44/1.10 , clause( 214, [ ~( equalish( X, Y ) ), equalish( regular( X ), regular( Y
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , clause( 215, [ ~( equalish( X, Y ) ), equalish( restrict( X, Z, T ),
% 0.44/1.10 restrict( Y, Z, T ) ) ] )
% 0.44/1.10 , clause( 216, [ ~( equalish( X, Y ) ), equalish( restrict( Z, X, T ),
% 0.44/1.10 restrict( Z, Y, T ) ) ] )
% 0.44/1.10 , clause( 217, [ ~( equalish( X, Y ) ), equalish( restrict( Z, T, X ),
% 0.44/1.10 restrict( Z, T, Y ) ) ] )
% 0.44/1.10 , clause( 218, [ ~( equalish( X, Y ) ), equalish( rotate( X ), rotate( Y )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 219, [ ~( equalish( X, Y ) ), equalish( second( X ), second( Y )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 220, [ ~( equalish( X, Y ) ), equalish( singleton( X ), singleton(
% 0.44/1.10 Y ) ) ] )
% 0.44/1.10 , clause( 221, [ ~( equalish( X, Y ) ), equalish( successor( X ), successor(
% 0.44/1.10 Y ) ) ] )
% 0.44/1.10 , clause( 222, [ ~( equalish( X, Y ) ), equalish( 'sum_class'( X ),
% 0.44/1.10 'sum_class'( Y ) ) ] )
% 0.44/1.10 , clause( 223, [ ~( equalish( X, Y ) ), equalish( union( X, Z ), union( Y,
% 0.44/1.10 Z ) ) ] )
% 0.44/1.10 , clause( 224, [ ~( equalish( X, Y ) ), equalish( union( Z, X ), union( Z,
% 0.44/1.10 Y ) ) ] )
% 0.44/1.10 , clause( 225, [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( X, Z )
% 0.44/1.10 , 'unordered_pair'( Y, Z ) ) ] )
% 0.44/1.10 , clause( 226, [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( Z, X )
% 0.44/1.10 , 'unordered_pair'( Z, Y ) ) ] )
% 0.44/1.10 , clause( 227, [ ~( equalish( X, Y ) ), ~( compatible( X, Z, T ) ),
% 0.44/1.10 compatible( Y, Z, T ) ] )
% 0.44/1.10 , clause( 228, [ ~( equalish( X, Y ) ), ~( compatible( Z, X, T ) ),
% 0.44/1.10 compatible( Z, Y, T ) ] )
% 0.44/1.10 , clause( 229, [ ~( equalish( X, Y ) ), ~( compatible( Z, T, X ) ),
% 0.44/1.10 compatible( Z, T, Y ) ] )
% 0.44/1.10 , clause( 230, [ ~( equalish( X, Y ) ), ~( function( X ) ), function( Y ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 231, [ ~( equalish( X, Y ) ), ~( homomorphism( X, Z, T ) ),
% 0.44/1.10 homomorphism( Y, Z, T ) ] )
% 0.44/1.10 , clause( 232, [ ~( equalish( X, Y ) ), ~( homomorphism( Z, X, T ) ),
% 0.44/1.10 homomorphism( Z, Y, T ) ] )
% 0.44/1.10 , clause( 233, [ ~( equalish( X, Y ) ), ~( homomorphism( Z, T, X ) ),
% 0.44/1.10 homomorphism( Z, T, Y ) ] )
% 0.44/1.10 , clause( 234, [ ~( equalish( X, Y ) ), ~( inductive( X ) ), inductive( Y )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 235, [ ~( equalish( X, Y ) ), ~( member( X, Z ) ), member( Y, Z )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 236, [ ~( equalish( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 237, [ ~( equalish( X, Y ) ), ~( 'one_to_one'( X ) ),
% 0.44/1.10 'one_to_one'( Y ) ] )
% 0.44/1.10 , clause( 238, [ ~( equalish( X, Y ) ), ~( operation( X ) ), operation( Y )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 239, [ ~( equalish( X, Y ) ), ~( 'single_valued_class'( X ) ),
% 0.44/1.10 'single_valued_class'( Y ) ] )
% 0.44/1.10 , clause( 240, [ ~( equalish( X, Y ) ), ~( subclass( X, Z ) ), subclass( Y
% 0.44/1.10 , Z ) ] )
% 0.44/1.10 , clause( 241, [ ~( equalish( X, Y ) ), ~( subclass( Z, X ) ), subclass( Z
% 0.44/1.10 , Y ) ] )
% 0.44/1.10 , clause( 242, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 243, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X,
% 0.44/1.10 Y ) ] )
% 0.44/1.10 , clause( 244, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass(
% 0.44/1.10 X, Y ) ] )
% 0.44/1.10 , clause( 245, [ subclass( X, 'universal_class' ) ] )
% 0.44/1.10 , clause( 246, [ ~( equalish( X, Y ) ), subclass( X, Y ) ] )
% 0.44/1.10 , clause( 247, [ ~( equalish( X, Y ) ), subclass( Y, X ) ] )
% 0.44/1.10 , clause( 248, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish( X
% 0.44/1.10 , Y ) ] )
% 0.44/1.10 , clause( 249, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), equalish( X, Y
% 0.44/1.10 ), equalish( X, Z ) ] )
% 0.44/1.10 , clause( 250, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.44/1.10 'unordered_pair'( X, Y ) ) ] )
% 0.44/1.10 , clause( 251, [ ~( member( X, 'universal_class' ) ), member( X,
% 0.44/1.10 'unordered_pair'( Y, X ) ) ] )
% 0.44/1.10 , clause( 252, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ] )
% 0.44/1.10 , clause( 253, [ equalish( 'unordered_pair'( X, X ), singleton( X ) ) ] )
% 0.44/1.10 , clause( 254, [ equalish( 'unordered_pair'( singleton( X ),
% 0.44/1.10 'unordered_pair'( X, singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 0.44/1.10 , clause( 255, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( X, Z ) ] )
% 0.44/1.10 , clause( 256, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( Y, T ) ] )
% 0.44/1.10 , clause( 257, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 0.44/1.10 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 0.44/1.10 , clause( 258, [ ~( member( X, 'cross_product'( Y, Z ) ) ), equalish(
% 0.44/1.10 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 0.44/1.10 , clause( 259, [ subclass( 'element_relation', 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 260, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) )
% 0.44/1.10 , member( X, Y ) ] )
% 0.44/1.10 , clause( 261, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 0.44/1.10 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 0.44/1.10 , clause( 262, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 263, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 264, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 0.44/1.10 intersection( Y, Z ) ) ] )
% 0.44/1.10 , clause( 265, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 266, [ ~( member( X, 'universal_class' ) ), member( X, complement(
% 0.44/1.10 Y ) ), member( X, Y ) ] )
% 0.44/1.10 , clause( 267, [ equalish( complement( intersection( complement( X ),
% 0.44/1.10 complement( Y ) ) ), union( X, Y ) ) ] )
% 0.44/1.10 , clause( 268, [ equalish( intersection( complement( intersection( X, Y ) )
% 0.44/1.10 , complement( intersection( complement( X ), complement( Y ) ) ) ),
% 0.44/1.10 'symmetric_difference'( X, Y ) ) ] )
% 0.44/1.10 , clause( 269, [ equalish( intersection( X, 'cross_product'( Y, Z ) ),
% 0.44/1.10 restrict( X, Y, Z ) ) ] )
% 0.44/1.10 , clause( 270, [ equalish( intersection( 'cross_product'( X, Y ), Z ),
% 0.44/1.10 restrict( Z, X, Y ) ) ] )
% 0.44/1.10 , clause( 271, [ ~( equalish( restrict( X, singleton( Y ),
% 0.44/1.10 'universal_class' ), 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 272, [ ~( member( X, 'universal_class' ) ), equalish( restrict( Y
% 0.44/1.10 , singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 0.44/1.10 'domain_of'( Y ) ) ] )
% 0.44/1.10 , clause( 273, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 274, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.44/1.10 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 275, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.44/1.10 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 0.44/1.10 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.44/1.10 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 0.44/1.10 , Y ), rotate( T ) ) ] )
% 0.44/1.10 , clause( 276, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 277, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 0.44/1.10 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 278, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T
% 0.44/1.10 ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 0.44/1.10 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 0.44/1.10 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 0.44/1.10 , Z ), flip( T ) ) ] )
% 0.44/1.10 , clause( 279, [ equalish( 'domain_of'( flip( 'cross_product'( X,
% 0.44/1.10 'universal_class' ) ) ), inverse( X ) ) ] )
% 0.44/1.10 , clause( 280, [ equalish( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 281, [ equalish( first( 'not_subclass_element'( restrict( X, Y,
% 0.44/1.10 singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 0.44/1.10 , clause( 282, [ equalish( second( 'not_subclass_element'( restrict( X,
% 0.44/1.10 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 0.44/1.10 , clause( 283, [ equalish( 'range_of'( restrict( X, Y, 'universal_class' )
% 0.44/1.10 ), image( X, Y ) ) ] )
% 0.44/1.10 , clause( 284, [ equalish( union( X, singleton( X ) ), successor( X ) ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 285, [ subclass( 'successor_relation', 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 286, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' )
% 0.44/1.10 ), equalish( successor( X ), Y ) ] )
% 0.44/1.10 , clause( 287, [ ~( equalish( successor( X ), Y ) ), ~( member(
% 0.44/1.10 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ), member( 'ordered_pair'( X, Y ),
% 0.44/1.10 'successor_relation' ) ] )
% 0.44/1.10 , clause( 288, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 0.44/1.10 , clause( 289, [ ~( inductive( X ) ), subclass( image( 'successor_relation'
% 0.44/1.10 , X ), X ) ] )
% 0.44/1.10 , clause( 290, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.44/1.10 'successor_relation', X ), X ) ), inductive( X ) ] )
% 0.44/1.10 , clause( 291, [ inductive( omega ) ] )
% 0.44/1.10 , clause( 292, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 0.44/1.10 , clause( 293, [ member( omega, 'universal_class' ) ] )
% 0.44/1.10 , clause( 294, [ equalish( 'domain_of'( restrict( 'element_relation',
% 0.44/1.10 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 0.44/1.10 , clause( 295, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 0.44/1.10 X ), 'universal_class' ) ] )
% 0.44/1.10 , clause( 296, [ equalish( complement( image( 'element_relation',
% 0.44/1.10 complement( X ) ) ), 'power_class'( X ) ) ] )
% 0.44/1.10 , clause( 297, [ ~( member( X, 'universal_class' ) ), member( 'power_class'(
% 0.44/1.10 X ), 'universal_class' ) ] )
% 0.44/1.10 , clause( 298, [ subclass( compose( X, Y ), 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 299, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 0.44/1.10 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 0.44/1.10 , clause( 300, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ),
% 0.44/1.10 ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 301, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 0.44/1.10 inverse( X ) ), 'identity_relation' ) ] )
% 0.44/1.10 , clause( 302, [ ~( subclass( compose( X, inverse( X ) ),
% 0.44/1.10 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 0.44/1.10 , clause( 303, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 0.44/1.10 'universal_class', 'universal_class' ) ) ] )
% 0.44/1.10 , clause( 304, [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.44/1.10 'identity_relation' ) ] )
% 0.44/1.10 , clause( 305, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 0.44/1.10 'identity_relation' ) ), function( X ) ] )
% 0.44/1.10 , clause( 306, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ),
% 0.44/1.10 member( image( X, Y ), 'universal_class' ) ] )
% 0.44/1.10 , clause( 307, [ equalish( X, 'null_class' ), member( regular( X ), X ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 308, [ equalish( X, 'null_class' ), equalish( intersection( X,
% 0.44/1.10 regular( X ) ), 'null_class' ) ] )
% 0.44/1.10 , clause( 309, [ equalish( 'sum_class'( image( X, singleton( Y ) ) ), apply(
% 0.44/1.10 X, Y ) ) ] )
% 0.44/1.10 , clause( 310, [ function( choice ) ] )
% 0.44/1.10 , clause( 311, [ ~( member( X, 'universal_class' ) ), equalish( X,
% 0.44/1.10 'null_class' ), member( apply( choice, X ), X ) ] )
% 0.44/1.10 , clause( 312, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 0.44/1.10 , clause( 313, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 0.44/1.10 , clause( 314, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 0.44/1.10 'one_to_one'( X ) ] )
% 0.44/1.10 , clause( 315, [ equalish( intersection( 'cross_product'( 'universal_class'
% 0.44/1.10 , 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.44/1.10 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.44/1.10 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ] )
% 0.44/1.10 , clause( 316, [ equalish( intersection( inverse( 'subset_relation' ),
% 0.44/1.10 'subset_relation' ), 'identity_relation' ) ] )
% 0.44/1.10 , clause( 317, [ equalish( complement( 'domain_of'( intersection( X,
% 0.44/1.10 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 0.44/1.10 , clause( 318, [ equalish( intersection( 'domain_of'( X ), diagonalise(
% 0.44/1.10 compose( inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 0.44/1.10 , clause( 319, [ ~( operation( X ) ), function( X ) ] )
% 0.44/1.10 , clause( 320, [ ~( operation( X ) ), equalish( 'cross_product'(
% 0.44/1.10 'domain_of'( 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ),
% 0.44/1.10 'domain_of'( X ) ) ] )
% 0.44/1.10 , clause( 321, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 0.44/1.10 'domain_of'( 'domain_of'( X ) ) ) ] )
% 0.44/1.10 , clause( 322, [ ~( function( X ) ), ~( equalish( 'cross_product'(
% 0.44/1.10 'domain_of'( 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ),
% 0.44/1.10 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.44/1.10 'domain_of'( X ) ) ) ), operation( X ) ] )
% 0.44/1.10 , clause( 323, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 0.44/1.10 , clause( 324, [ ~( compatible( X, Y, Z ) ), equalish( 'domain_of'(
% 0.44/1.10 'domain_of'( Y ) ), 'domain_of'( X ) ) ] )
% 0.44/1.10 , clause( 325, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 0.44/1.10 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 0.44/1.10 , clause( 326, [ ~( function( X ) ), ~( equalish( 'domain_of'( 'domain_of'(
% 0.44/1.10 Y ) ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.44/1.10 'domain_of'( Z ) ) ) ), compatible( T, Y, Z ) ] )
% 0.44/1.10 , clause( 327, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 0.44/1.10 , clause( 328, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 0.44/1.10 , clause( 329, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 0.44/1.10 , clause( 330, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T
% 0.44/1.10 , U ), 'domain_of'( Y ) ) ), equalish( apply( Z, 'ordered_pair'( apply( X
% 0.44/1.10 , T ), apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 331, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z
% 0.44/1.10 , X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.44/1.10 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.44/1.10 , Y ) ] )
% 0.44/1.10 , clause( 332, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z
% 0.44/1.10 , X, Y ) ), ~( equalish( apply( Y, 'ordered_pair'( apply( Z,
% 0.44/1.10 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 0.44/1.10 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 0.44/1.10 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 0.44/1.10 )
% 0.44/1.10 , clause( 333, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( X, 'unordered_pair'( X, Y ) ) ] )
% 0.44/1.10 , clause( 334, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( Y, 'unordered_pair'( X, Y ) ) ] )
% 0.44/1.10 , clause( 335, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( X, 'universal_class' ) ] )
% 0.44/1.10 , clause( 336, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T )
% 0.44/1.10 ) ), member( Y, 'universal_class' ) ] )
% 0.44/1.10 , clause( 337, [ subclass( X, X ) ] )
% 0.44/1.10 , clause( 338, [ ~( subclass( X, Y ) ), ~( subclass( Y, Z ) ), subclass( X
% 0.44/1.10 , Z ) ] )
% 0.44/1.10 , clause( 339, [ ~( equalish( x, x ) ) ] )
% 0.44/1.10 ] ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X )
% 0.44/1.10 ) ] )
% 0.44/1.10 , clause( 248, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish( X
% 0.44/1.10 , Y ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.10 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 162, [ subclass( X, X ) ] )
% 0.44/1.10 , clause( 337, [ subclass( X, X ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 164, [ ~( equalish( x, x ) ) ] )
% 0.44/1.10 , clause( 339, [ ~( equalish( x, x ) ) ] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 factor(
% 0.44/1.10 clause( 361, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 0.44/1.10 , clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X
% 0.44/1.10 ) ) ] )
% 0.44/1.10 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 362, [ equalish( X, X ) ] )
% 0.44/1.10 , clause( 361, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 0.44/1.10 , 1, clause( 162, [ subclass( X, X ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.10 ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 165, [ equalish( X, X ) ] )
% 0.44/1.10 , clause( 362, [ equalish( X, X ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 resolution(
% 0.44/1.10 clause( 363, [] )
% 0.44/1.10 , clause( 164, [ ~( equalish( x, x ) ) ] )
% 0.44/1.10 , 0, clause( 165, [ equalish( X, X ) ] )
% 0.44/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 173, [] )
% 0.44/1.10 , clause( 363, [] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 end.
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 Memory use:
% 0.44/1.10
% 0.44/1.10 space for terms: 6598
% 0.44/1.10 space for clauses: 12335
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 clauses generated: 177
% 0.44/1.10 clauses kept: 174
% 0.44/1.10 clauses selected: 7
% 0.44/1.10 clauses deleted: 1
% 0.44/1.10 clauses inuse deleted: 0
% 0.44/1.10
% 0.44/1.10 subsentry: 158
% 0.44/1.10 literals s-matched: 92
% 0.44/1.10 literals matched: 91
% 0.44/1.10 full subsumption: 2
% 0.44/1.10
% 0.44/1.10 checksum: -339037921
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksem ended
%------------------------------------------------------------------------------