TSTP Solution File: SET055-6 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 22:46:11 EDT 2022
% Result : Unsatisfiable 2.54s 2.96s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 05:07:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( apply( X, Z ), apply( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( apply( Z, X ), apply( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( cantor( X ), cantor( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( complement( X ), complement( Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( compose( X, Z ), compose( Y, Z ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( compose( Z, X ), compose( Z, Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'cross_product'( X, Z ),
% 0.73/1.09 'cross_product'( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'cross_product'( Z, X ),
% 0.73/1.09 'cross_product'( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( diagonalise( X ), diagonalise( Y ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( X, Z ),
% 0.73/1.09 'symmetric_difference'( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'( Z, X ),
% 0.73/1.09 'symmetric_difference'( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( domain( X, Z, T ), domain( Y, Z, T )
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( domain( Z, X, T ), domain( Z, Y, T )
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( domain( Z, T, X ), domain( Z, T, Y )
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'domain_of'( X ), 'domain_of'( Y ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( first( X ), first( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( flip( X ), flip( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( image( X, Z ), image( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( image( Z, X ), image( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( intersection( X, Z ), intersection( Y
% 0.73/1.09 , Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( intersection( Z, X ), intersection( Z
% 0.73/1.09 , Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( X, Z, T ),
% 0.73/1.09 'not_homomorphism1'( Y, Z, T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, X, T ),
% 0.73/1.09 'not_homomorphism1'( Z, Y, T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z, T, X ),
% 0.73/1.09 'not_homomorphism1'( Z, T, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( X, Z, T ),
% 0.73/1.09 'not_homomorphism2'( Y, Z, T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, X, T ),
% 0.73/1.09 'not_homomorphism2'( Z, Y, T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z, T, X ),
% 0.73/1.09 'not_homomorphism2'( Z, T, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( X, Z ),
% 0.73/1.09 'not_subclass_element'( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'( Z, X ),
% 0.73/1.09 'not_subclass_element'( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( X, Z ),
% 0.73/1.09 'ordered_pair'( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( Z, X ),
% 0.73/1.09 'ordered_pair'( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'power_class'( X ), 'power_class'( Y
% 0.73/1.09 ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( range( X, Z, T ), range( Y, Z, T ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( range( Z, X, T ), range( Z, Y, T ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( range( Z, T, X ), range( Z, T, Y ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'range_of'( X ), 'range_of'( Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( regular( X ), regular( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( restrict( X, Z, T ), restrict( Y, Z,
% 0.73/1.09 T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( restrict( Z, X, T ), restrict( Z, Y,
% 0.73/1.09 T ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( restrict( Z, T, X ), restrict( Z, T,
% 0.73/1.09 Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( rotate( X ), rotate( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( second( X ), second( Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( singleton( X ), singleton( Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( successor( X ), successor( Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'sum_class'( X ), 'sum_class'( Y ) )
% 0.73/1.09 ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( union( X, Z ), union( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( union( Z, X ), union( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( X, Z ),
% 0.73/1.09 'unordered_pair'( Y, Z ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( Z, X ),
% 0.73/1.09 'unordered_pair'( Z, Y ) ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( compatible( X, Z, T ) ), compatible( Y, Z, T
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( compatible( Z, X, T ) ), compatible( Z, Y, T
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( compatible( Z, T, X ) ), compatible( Z, T, Y
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( function( X ) ), function( Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( homomorphism( X, Z, T ) ), homomorphism( Y,
% 0.73/1.09 Z, T ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( homomorphism( Z, X, T ) ), homomorphism( Z,
% 0.73/1.09 Y, T ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( homomorphism( Z, T, X ) ), homomorphism( Z,
% 0.73/1.09 T, Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( inductive( X ) ), inductive( Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( member( X, Z ) ), member( Y, Z ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( 'one_to_one'( X ) ), 'one_to_one'( Y ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( operation( X ) ), operation( Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( 'single_valued_class'( X ) ),
% 0.73/1.09 'single_valued_class'( Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( subclass( X, Z ) ), subclass( Y, Z ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), ~( subclass( Z, X ) ), subclass( Z, Y ) ],
% 0.73/1.09 [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.73/1.09 [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y ) ],
% 0.73/1.09 [ ~( member( 'not_subclass_element'( X, Y ), Y ) ), subclass( X, Y ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ subclass( X, 'universal_class' ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), subclass( X, Y ) ],
% 0.73/1.09 [ ~( equalish( X, Y ) ), subclass( Y, X ) ],
% 0.73/1.09 [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish( X, Y ) ],
% 0.73/1.09 [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), equalish( X, Y ), equalish(
% 0.73/1.09 X, Z ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( X, Y
% 0.73/1.09 ) ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), member( X, 'unordered_pair'( Y, X
% 0.73/1.09 ) ) ],
% 0.73/1.09 [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ],
% 0.73/1.09 [ equalish( 'unordered_pair'( X, X ), singleton( X ) ) ],
% 0.73/1.09 [ equalish( 'unordered_pair'( singleton( X ), 'unordered_pair'( X,
% 0.73/1.09 singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.09 X, Z ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T ) ) ), member(
% 0.73/1.09 Y, T ) ],
% 0.73/1.09 [ ~( member( X, Y ) ), ~( member( Z, T ) ), member( 'ordered_pair'( X, Z
% 0.73/1.09 ), 'cross_product'( Y, T ) ) ],
% 0.73/1.09 [ ~( member( X, 'cross_product'( Y, Z ) ) ), equalish( 'ordered_pair'(
% 0.73/1.09 first( X ), second( X ) ), X ) ],
% 0.73/1.09 [ subclass( 'element_relation', 'cross_product'( 'universal_class',
% 0.73/1.09 'universal_class' ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' ) ), member( X,
% 0.73/1.09 Y ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class'
% 0.73/1.09 , 'universal_class' ) ) ), ~( member( X, Y ) ), member( 'ordered_pair'( X
% 0.73/1.09 , Y ), 'element_relation' ) ],
% 0.73/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.73/1.09 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.73/1.09 [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X, intersection( Y,
% 0.73/1.09 Z ) ) ],
% 0.73/1.09 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), member( X, complement( Y ) ),
% 0.73/1.09 member( X, Y ) ],
% 0.73/1.09 [ equalish( complement( intersection( complement( X ), complement( Y ) )
% 0.73/1.09 ), union( X, Y ) ) ],
% 0.73/1.09 [ equalish( intersection( complement( intersection( X, Y ) ), complement(
% 0.73/1.09 intersection( complement( X ), complement( Y ) ) ) ),
% 0.73/1.09 'symmetric_difference'( X, Y ) ) ],
% 0.73/1.09 [ equalish( intersection( X, 'cross_product'( Y, Z ) ), restrict( X, Y,
% 0.73/1.09 Z ) ) ],
% 0.73/1.09 [ equalish( intersection( 'cross_product'( X, Y ), Z ), restrict( Z, X,
% 0.73/1.09 Y ) ) ],
% 0.73/1.09 [ ~( equalish( restrict( X, singleton( Y ), 'universal_class' ),
% 0.73/1.09 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), equalish( restrict( Y, singleton(
% 0.73/1.09 X ), 'universal_class' ), 'null_class' ), member( X, 'domain_of'( Y ) ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 0.73/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), rotate( T ) )
% 0.73/1.09 ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.09 member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ), 'cross_product'(
% 0.73/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X ),
% 0.73/1.09 Y ), rotate( T ) ) ],
% 0.73/1.09 [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 0.73/1.09 'universal_class', 'universal_class' ), 'universal_class' ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), flip( T ) ) )
% 0.73/1.09 , member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ), T ) ), ~(
% 0.73/1.09 member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), 'cross_product'(
% 0.73/1.09 'cross_product'( 'universal_class', 'universal_class' ),
% 0.73/1.09 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ),
% 0.73/1.09 Z ), flip( T ) ) ],
% 0.73/1.09 [ equalish( 'domain_of'( flip( 'cross_product'( X, 'universal_class' ) )
% 0.73/1.09 ), inverse( X ) ) ],
% 0.73/1.09 [ equalish( 'domain_of'( inverse( X ) ), 'range_of'( X ) ) ],
% 0.73/1.09 [ equalish( first( 'not_subclass_element'( restrict( X, Y, singleton( Z
% 0.73/1.09 ) ), 'null_class' ) ), domain( X, Y, Z ) ) ],
% 0.73/1.09 [ equalish( second( 'not_subclass_element'( restrict( X, singleton( Y )
% 0.73/1.09 , Z ), 'null_class' ) ), range( X, Y, Z ) ) ],
% 0.73/1.09 [ equalish( 'range_of'( restrict( X, Y, 'universal_class' ) ), image( X
% 0.73/1.09 , Y ) ) ],
% 0.73/1.09 [ equalish( union( X, singleton( X ) ), successor( X ) ) ],
% 0.73/1.09 [ subclass( 'successor_relation', 'cross_product'( 'universal_class',
% 0.73/1.09 'universal_class' ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation' ) ), equalish(
% 0.73/1.09 successor( X ), Y ) ],
% 0.73/1.09 [ ~( equalish( successor( X ), Y ) ), ~( member( 'ordered_pair'( X, Y )
% 0.73/1.09 , 'cross_product'( 'universal_class', 'universal_class' ) ) ), member(
% 0.73/1.09 'ordered_pair'( X, Y ), 'successor_relation' ) ],
% 0.73/1.09 [ ~( inductive( X ) ), member( 'null_class', X ) ],
% 0.73/1.09 [ ~( inductive( X ) ), subclass( image( 'successor_relation', X ), X ) ]
% 0.73/1.09 ,
% 0.73/1.09 [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 0.73/1.09 'successor_relation', X ), X ) ), inductive( X ) ],
% 0.73/1.09 [ inductive( omega ) ],
% 0.73/1.09 [ ~( inductive( X ) ), subclass( omega, X ) ],
% 0.73/1.09 [ member( omega, 'universal_class' ) ],
% 0.73/1.09 [ equalish( 'domain_of'( restrict( 'element_relation', 'universal_class'
% 0.73/1.09 , X ) ), 'sum_class'( X ) ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), member( 'sum_class'( X ),
% 0.73/1.09 'universal_class' ) ],
% 0.73/1.09 [ equalish( complement( image( 'element_relation', complement( X ) ) ),
% 0.73/1.09 'power_class'( X ) ) ],
% 0.73/1.09 [ ~( member( X, 'universal_class' ) ), member( 'power_class'( X ),
% 0.73/1.09 'universal_class' ) ],
% 0.73/1.09 [ subclass( compose( X, Y ), 'cross_product'( 'universal_class',
% 0.73/1.09 'universal_class' ) ) ],
% 0.73/1.09 [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ), member( Y,
% 0.73/1.09 image( Z, image( T, singleton( X ) ) ) ) ],
% 0.73/1.09 [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) ), ~( member(
% 0.73/1.09 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 0.73/1.09 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 0.73/1.09 ) ],
% 0.73/1.09 [ ~( 'single_valued_class'( X ) ), subclass( compose( X, inverse( X ) )
% 0.73/1.09 , 'identity_relation' ) ],
% 0.73/1.09 [ ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) ),
% 0.73/1.09 'single_valued_class'( X ) ],
% 0.73/1.09 [ ~( function( X ) ), subclass( X, 'cross_product'( 'universal_class',
% 0.73/1.09 'universal_class' ) ) ],
% 0.73/1.09 [ ~( function( X ) ), subclass( compose( X, inverse( X ) ),
% 0.73/1.09 'identity_relation' ) ],
% 0.81/1.18 [ ~( subclass( X, 'cross_product'( 'universal_class', 'universal_class'
% 0.81/1.18 ) ) ), ~( subclass( compose( X, inverse( X ) ), 'identity_relation' ) )
% 0.81/1.18 , function( X ) ],
% 0.81/1.18 [ ~( function( X ) ), ~( member( Y, 'universal_class' ) ), member( image(
% 0.81/1.18 X, Y ), 'universal_class' ) ],
% 0.81/1.18 [ equalish( X, 'null_class' ), member( regular( X ), X ) ],
% 0.81/1.18 [ equalish( X, 'null_class' ), equalish( intersection( X, regular( X ) )
% 0.81/1.18 , 'null_class' ) ],
% 0.81/1.18 [ equalish( 'sum_class'( image( X, singleton( Y ) ) ), apply( X, Y ) ) ]
% 0.81/1.18 ,
% 0.81/1.18 [ function( choice ) ],
% 0.81/1.18 [ ~( member( X, 'universal_class' ) ), equalish( X, 'null_class' ),
% 0.81/1.18 member( apply( choice, X ), X ) ],
% 0.81/1.18 [ ~( 'one_to_one'( X ) ), function( X ) ],
% 0.81/1.18 [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ],
% 0.81/1.18 [ ~( function( inverse( X ) ) ), ~( function( X ) ), 'one_to_one'( X ) ]
% 0.81/1.18 ,
% 0.81/1.18 [ equalish( intersection( 'cross_product'( 'universal_class',
% 0.81/1.18 'universal_class' ), intersection( 'cross_product'( 'universal_class',
% 0.81/1.18 'universal_class' ), complement( compose( complement( 'element_relation'
% 0.81/1.18 ), inverse( 'element_relation' ) ) ) ) ), 'subset_relation' ) ],
% 0.81/1.18 [ equalish( intersection( inverse( 'subset_relation' ),
% 0.81/1.18 'subset_relation' ), 'identity_relation' ) ],
% 0.81/1.18 [ equalish( complement( 'domain_of'( intersection( X,
% 0.81/1.18 'identity_relation' ) ) ), diagonalise( X ) ) ],
% 0.81/1.18 [ equalish( intersection( 'domain_of'( X ), diagonalise( compose(
% 0.81/1.18 inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ],
% 0.81/1.18 [ ~( operation( X ) ), function( X ) ],
% 0.81/1.18 [ ~( operation( X ) ), equalish( 'cross_product'( 'domain_of'(
% 0.81/1.18 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.81/1.18 ],
% 0.81/1.18 [ ~( operation( X ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.81/1.18 'domain_of'( X ) ) ) ],
% 0.81/1.18 [ ~( function( X ) ), ~( equalish( 'cross_product'( 'domain_of'(
% 0.81/1.18 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ), 'domain_of'( X ) )
% 0.81/1.18 ), ~( subclass( 'range_of'( X ), 'domain_of'( 'domain_of'( X ) ) ) ),
% 0.81/1.18 operation( X ) ],
% 0.81/1.18 [ ~( compatible( X, Y, Z ) ), function( X ) ],
% 0.81/1.18 [ ~( compatible( X, Y, Z ) ), equalish( 'domain_of'( 'domain_of'( Y ) )
% 0.81/1.18 , 'domain_of'( X ) ) ],
% 0.81/1.18 [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ), 'domain_of'(
% 0.81/1.18 'domain_of'( Z ) ) ) ],
% 0.81/1.18 [ ~( function( X ) ), ~( equalish( 'domain_of'( 'domain_of'( Y ) ),
% 0.81/1.18 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 0.81/1.18 'domain_of'( Z ) ) ) ), compatible( T, Y, Z ) ],
% 0.81/1.18 [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ],
% 0.81/1.18 [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ],
% 0.81/1.18 [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ],
% 0.81/1.18 [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'( T, U ),
% 0.81/1.18 'domain_of'( Y ) ) ), equalish( apply( Z, 'ordered_pair'( apply( X, T ),
% 0.81/1.18 apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) ) ) ]
% 0.81/1.18 ,
% 0.81/1.18 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.81/1.18 member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 0.81/1.18 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 0.81/1.18 , Y ) ],
% 0.81/1.18 [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible( Z, X, Y ) ),
% 0.81/1.18 ~( equalish( apply( Y, 'ordered_pair'( apply( Z, 'not_homomorphism1'( Z,
% 0.81/1.18 X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y ) ) ) ), apply( Z, apply(
% 0.81/1.18 X, 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ), 'not_homomorphism2'( Z
% 0.81/1.18 , X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ],
% 0.81/1.18 [ ~( equalish( x, x ) ) ]
% 0.81/1.18 ] .
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 percentage equality = 0.000000, percentage horn = 0.949686
% 0.81/1.18 This is a near-Horn, non-equality problem
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Options Used:
% 0.81/1.18
% 0.81/1.18 useres = 1
% 0.81/1.18 useparamod = 0
% 0.81/1.18 useeqrefl = 0
% 0.81/1.18 useeqfact = 0
% 0.81/1.18 usefactor = 1
% 0.81/1.18 usesimpsplitting = 0
% 0.81/1.18 usesimpdemod = 0
% 0.81/1.18 usesimpres = 4
% 0.81/1.18
% 0.81/1.18 resimpinuse = 1000
% 0.81/1.18 resimpclauses = 20000
% 0.81/1.18 substype = standard
% 0.81/1.18 backwardsubs = 1
% 0.81/1.18 selectoldest = 5
% 0.81/1.18
% 0.81/1.18 litorderings [0] = split
% 0.81/1.18 litorderings [1] = liftord
% 0.81/1.18
% 0.81/1.18 termordering = none
% 0.81/1.18
% 0.81/1.18 litapriori = 1
% 0.81/1.18 termapriori = 0
% 0.81/1.18 litaposteriori = 0
% 0.81/1.18 termaposteriori = 0
% 0.81/1.18 demodaposteriori = 0
% 0.81/1.18 ordereqreflfact = 0
% 0.81/1.18
% 0.81/1.18 litselect = negative
% 2.13/2.54
% 2.13/2.54 maxweight = 30000
% 2.13/2.54 maxdepth = 30000
% 2.13/2.54 maxlength = 115
% 2.13/2.54 maxnrvars = 195
% 2.13/2.54 excuselevel = 0
% 2.13/2.54 increasemaxweight = 0
% 2.13/2.54
% 2.13/2.54 maxselected = 10000000
% 2.13/2.54 maxnrclauses = 10000000
% 2.13/2.54
% 2.13/2.54 showgenerated = 0
% 2.13/2.54 showkept = 0
% 2.13/2.54 showselected = 0
% 2.13/2.54 showdeleted = 0
% 2.13/2.54 showresimp = 1
% 2.13/2.54 showstatus = 2000
% 2.13/2.54
% 2.13/2.54 prologoutput = 1
% 2.13/2.54 nrgoals = 5000000
% 2.13/2.54 totalproof = 1
% 2.13/2.54
% 2.13/2.54 Symbols occurring in the translation:
% 2.13/2.54
% 2.13/2.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.13/2.54 . [1, 2] (w:1, o:246, a:1, s:1, b:0),
% 2.13/2.54 ! [4, 1] (w:1, o:221, a:1, s:1, b:0),
% 2.13/2.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.13/2.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.13/2.54 equalish [41, 2] (w:1, o:271, a:1, s:1, b:0),
% 2.13/2.54 apply [46, 2] (w:1, o:272, a:1, s:1, b:0),
% 2.13/2.54 cantor [52, 1] (w:1, o:226, a:1, s:1, b:0),
% 2.13/2.54 complement [55, 1] (w:1, o:227, a:1, s:1, b:0),
% 2.13/2.54 compose [59, 2] (w:1, o:273, a:1, s:1, b:0),
% 2.13/2.54 'cross_product' [66, 2] (w:1, o:274, a:1, s:1, b:0),
% 2.13/2.54 diagonalise [69, 1] (w:1, o:228, a:1, s:1, b:0),
% 2.13/2.54 'symmetric_difference' [73, 2] (w:1, o:275, a:1, s:1, b:0),
% 2.13/2.54 domain [81, 3] (w:1, o:285, a:1, s:1, b:0),
% 2.13/2.54 'domain_of' [92, 1] (w:1, o:229, a:1, s:1, b:0),
% 2.13/2.54 first [95, 1] (w:1, o:230, a:1, s:1, b:0),
% 2.13/2.54 flip [98, 1] (w:1, o:231, a:1, s:1, b:0),
% 2.13/2.54 image [102, 2] (w:1, o:276, a:1, s:1, b:0),
% 2.13/2.54 intersection [109, 2] (w:1, o:277, a:1, s:1, b:0),
% 2.13/2.54 inverse [115, 1] (w:1, o:232, a:1, s:1, b:0),
% 2.13/2.54 'not_homomorphism1' [120, 3] (w:1, o:286, a:1, s:1, b:0),
% 2.13/2.54 'not_homomorphism2' [133, 3] (w:1, o:287, a:1, s:1, b:0),
% 2.13/2.54 'not_subclass_element' [145, 2] (w:1, o:279, a:1, s:1, b:0),
% 2.13/2.54 'ordered_pair' [152, 2] (w:1, o:280, a:1, s:1, b:0),
% 2.13/2.54 'power_class' [158, 1] (w:1, o:235, a:1, s:1, b:0),
% 2.13/2.54 range [163, 3] (w:1, o:288, a:1, s:1, b:0),
% 2.13/2.54 'range_of' [174, 1] (w:1, o:236, a:1, s:1, b:0),
% 2.13/2.54 regular [177, 1] (w:1, o:237, a:1, s:1, b:0),
% 2.13/2.54 restrict [182, 3] (w:1, o:289, a:1, s:1, b:0),
% 2.13/2.54 rotate [193, 1] (w:1, o:238, a:1, s:1, b:0),
% 2.13/2.54 second [196, 1] (w:1, o:239, a:1, s:1, b:0),
% 2.13/2.54 singleton [199, 1] (w:1, o:240, a:1, s:1, b:0),
% 2.13/2.54 successor [202, 1] (w:1, o:241, a:1, s:1, b:0),
% 2.13/2.54 'sum_class' [205, 1] (w:1, o:242, a:1, s:1, b:0),
% 2.13/2.54 union [209, 2] (w:1, o:281, a:1, s:1, b:0),
% 2.13/2.54 'unordered_pair' [216, 2] (w:1, o:282, a:1, s:1, b:0),
% 2.13/2.54 compatible [224, 3] (w:1, o:284, a:1, s:1, b:0),
% 2.13/2.54 function [235, 1] (w:1, o:243, a:1, s:1, b:0),
% 2.13/2.54 homomorphism [240, 3] (w:1, o:290, a:1, s:1, b:0),
% 2.13/2.54 inductive [251, 1] (w:1, o:244, a:1, s:1, b:0),
% 2.13/2.54 member [255, 2] (w:1, o:278, a:1, s:1, b:0),
% 2.13/2.54 'one_to_one' [261, 1] (w:1, o:233, a:1, s:1, b:0),
% 2.13/2.54 operation [264, 1] (w:1, o:234, a:1, s:1, b:0),
% 2.13/2.54 'single_valued_class' [267, 1] (w:1, o:245, a:1, s:1, b:0),
% 2.13/2.54 subclass [271, 2] (w:1, o:283, a:1, s:1, b:0),
% 2.13/2.54 'universal_class' [275, 0] (w:1, o:215, a:1, s:1, b:0),
% 2.13/2.54 'element_relation' [276, 0] (w:1, o:216, a:1, s:1, b:0),
% 2.13/2.54 'null_class' [278, 0] (w:1, o:217, a:1, s:1, b:0),
% 2.13/2.54 'successor_relation' [279, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.13/2.54 omega [280, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.13/2.54 'identity_relation' [282, 0] (w:1, o:218, a:1, s:1, b:0),
% 2.13/2.54 choice [284, 0] (w:1, o:219, a:1, s:1, b:0),
% 2.13/2.54 'subset_relation' [285, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.13/2.54 x [290, 0] (w:1, o:220, a:1, s:1, b:0).
% 2.13/2.54
% 2.13/2.54
% 2.13/2.54 Starting Search:
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54
% 2.13/2.54 Intermediate Status:
% 2.13/2.54 Generated: 2213
% 2.13/2.54 Kept: 2005
% 2.13/2.54 Inuse: 167
% 2.13/2.54 Deleted: 0
% 2.13/2.54 Deletedinuse: 0
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54
% 2.13/2.54 Intermediate Status:
% 2.13/2.54 Generated: 4362
% 2.13/2.54 Kept: 4045
% 2.13/2.54 Inuse: 236
% 2.13/2.54 Deleted: 0
% 2.13/2.54 Deletedinuse: 0
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54
% 2.13/2.54 Intermediate Status:
% 2.13/2.54 Generated: 7457
% 2.13/2.54 Kept: 6067
% 2.13/2.54 Inuse: 309
% 2.13/2.54 Deleted: 0
% 2.13/2.54 Deletedinuse: 0
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.13/2.54 Done
% 2.13/2.54
% 2.13/2.54
% 2.13/2.54 Intermediate Status:
% 2.13/2.54 Generated: 10934
% 2.13/2.54 Kept: 8071
% 2.13/2.54 Inuse: 409
% 2.13/2.54 Deleted: 0
% 2.13/2.54 Deletedinuse: 0
% 2.13/2.54
% 2.13/2.54 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 13579
% 2.54/2.96 Kept: 10099
% 2.54/2.96 Inuse: 501
% 2.54/2.96 Deleted: 1
% 2.54/2.96 Deletedinuse: 0
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 16021
% 2.54/2.96 Kept: 12137
% 2.54/2.96 Inuse: 620
% 2.54/2.96 Deleted: 1
% 2.54/2.96 Deletedinuse: 0
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 18744
% 2.54/2.96 Kept: 14171
% 2.54/2.96 Inuse: 725
% 2.54/2.96 Deleted: 1
% 2.54/2.96 Deletedinuse: 0
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 21443
% 2.54/2.96 Kept: 16231
% 2.54/2.96 Inuse: 795
% 2.54/2.96 Deleted: 45
% 2.54/2.96 Deletedinuse: 44
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 24050
% 2.54/2.96 Kept: 18243
% 2.54/2.96 Inuse: 858
% 2.54/2.96 Deleted: 47
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying clauses:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 26655
% 2.54/2.96 Kept: 20290
% 2.54/2.96 Inuse: 920
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 29402
% 2.54/2.96 Kept: 22309
% 2.54/2.96 Inuse: 986
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 32296
% 2.54/2.96 Kept: 24319
% 2.54/2.96 Inuse: 1058
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 35041
% 2.54/2.96 Kept: 26338
% 2.54/2.96 Inuse: 1123
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 37932
% 2.54/2.96 Kept: 28347
% 2.54/2.96 Inuse: 1194
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 40683
% 2.54/2.96 Kept: 30366
% 2.54/2.96 Inuse: 1262
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 43578
% 2.54/2.96 Kept: 32375
% 2.54/2.96 Inuse: 1335
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 46323
% 2.54/2.96 Kept: 34394
% 2.54/2.96 Inuse: 1400
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 49208
% 2.54/2.96 Kept: 36403
% 2.54/2.96 Inuse: 1468
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 52093
% 2.54/2.96 Kept: 38412
% 2.54/2.96 Inuse: 1536
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying clauses:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 54838
% 2.54/2.96 Kept: 40431
% 2.54/2.96 Inuse: 1601
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 57724
% 2.54/2.96 Kept: 42440
% 2.54/2.96 Inuse: 1670
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 60616
% 2.54/2.96 Kept: 44454
% 2.54/2.96 Inuse: 1739
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 63375
% 2.54/2.96 Kept: 46488
% 2.54/2.96 Inuse: 1804
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 66258
% 2.54/2.96 Kept: 48496
% 2.54/2.96 Inuse: 1872
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 69141
% 2.54/2.96 Kept: 50503
% 2.54/2.96 Inuse: 1940
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 71884
% 2.54/2.96 Kept: 52521
% 2.54/2.96 Inuse: 2005
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 74769
% 2.54/2.96 Kept: 54529
% 2.54/2.96 Inuse: 2074
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 77652
% 2.54/2.96 Kept: 56534
% 2.54/2.96 Inuse: 2142
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 80535
% 2.54/2.96 Kept: 58534
% 2.54/2.96 Inuse: 2210
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying clauses:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 83279
% 2.54/2.96 Kept: 60554
% 2.54/2.96 Inuse: 2275
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Intermediate Status:
% 2.54/2.96 Generated: 85901
% 2.54/2.96 Kept: 62565
% 2.54/2.96 Inuse: 2370
% 2.54/2.96 Deleted: 1595
% 2.54/2.96 Deletedinuse: 46
% 2.54/2.96
% 2.54/2.96 Resimplifying inuse:
% 2.54/2.96 Done
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 Bliksems!, er is een bewijs:
% 2.54/2.96 % SZS status Unsatisfiable
% 2.54/2.96 % SZS output start Refutation
% 2.54/2.96
% 2.54/2.96 clause( 68, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.54/2.96 ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 69, [ subclass( X, Y ), ~( member( 'not_subclass_element'( X, Y ),
% 2.54/2.96 Y ) ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 71, [ subclass( X, Y ), ~( equalish( X, Y ) ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X )
% 2.54/2.96 ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 158, [ ~( equalish( x, x ) ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 159, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 6736, [ equalish( X, X ), member( 'not_subclass_element'( X, X ), X
% 2.54/2.96 ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 62929, [ subclass( X, X ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 62931, [ equalish( X, X ) ] )
% 2.54/2.96 .
% 2.54/2.96 clause( 62934, [] )
% 2.54/2.96 .
% 2.54/2.96
% 2.54/2.96
% 2.54/2.96 % SZS output end Refutation
% 2.54/2.96 found a proof!
% 2.54/2.96
% 2.54/2.96 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.54/2.96
% 2.54/2.96 initialclauses(
% 2.54/2.96 [ clause( 62936, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 2.54/2.96 , clause( 62937, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish(
% 2.54/2.96 X, Z ) ] )
% 2.54/2.96 , clause( 62938, [ ~( equalish( X, Y ) ), equalish( apply( X, Z ), apply( Y
% 2.54/2.96 , Z ) ) ] )
% 2.54/2.96 , clause( 62939, [ ~( equalish( X, Y ) ), equalish( apply( Z, X ), apply( Z
% 2.54/2.96 , Y ) ) ] )
% 2.54/2.96 , clause( 62940, [ ~( equalish( X, Y ) ), equalish( cantor( X ), cantor( Y
% 2.54/2.96 ) ) ] )
% 2.54/2.96 , clause( 62941, [ ~( equalish( X, Y ) ), equalish( complement( X ),
% 2.54/2.96 complement( Y ) ) ] )
% 2.54/2.96 , clause( 62942, [ ~( equalish( X, Y ) ), equalish( compose( X, Z ),
% 2.54/2.96 compose( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62943, [ ~( equalish( X, Y ) ), equalish( compose( Z, X ),
% 2.54/2.96 compose( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62944, [ ~( equalish( X, Y ) ), equalish( 'cross_product'( X, Z )
% 2.54/2.96 , 'cross_product'( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62945, [ ~( equalish( X, Y ) ), equalish( 'cross_product'( Z, X )
% 2.54/2.96 , 'cross_product'( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62946, [ ~( equalish( X, Y ) ), equalish( diagonalise( X ),
% 2.54/2.96 diagonalise( Y ) ) ] )
% 2.54/2.96 , clause( 62947, [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'(
% 2.54/2.96 X, Z ), 'symmetric_difference'( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62948, [ ~( equalish( X, Y ) ), equalish( 'symmetric_difference'(
% 2.54/2.96 Z, X ), 'symmetric_difference'( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62949, [ ~( equalish( X, Y ) ), equalish( domain( X, Z, T ),
% 2.54/2.96 domain( Y, Z, T ) ) ] )
% 2.54/2.96 , clause( 62950, [ ~( equalish( X, Y ) ), equalish( domain( Z, X, T ),
% 2.54/2.96 domain( Z, Y, T ) ) ] )
% 2.54/2.96 , clause( 62951, [ ~( equalish( X, Y ) ), equalish( domain( Z, T, X ),
% 2.54/2.96 domain( Z, T, Y ) ) ] )
% 2.54/2.96 , clause( 62952, [ ~( equalish( X, Y ) ), equalish( 'domain_of'( X ),
% 2.54/2.96 'domain_of'( Y ) ) ] )
% 2.54/2.96 , clause( 62953, [ ~( equalish( X, Y ) ), equalish( first( X ), first( Y )
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 62954, [ ~( equalish( X, Y ) ), equalish( flip( X ), flip( Y ) )
% 2.54/2.96 ] )
% 2.54/2.96 , clause( 62955, [ ~( equalish( X, Y ) ), equalish( image( X, Z ), image( Y
% 2.54/2.96 , Z ) ) ] )
% 2.54/2.96 , clause( 62956, [ ~( equalish( X, Y ) ), equalish( image( Z, X ), image( Z
% 2.54/2.96 , Y ) ) ] )
% 2.54/2.96 , clause( 62957, [ ~( equalish( X, Y ) ), equalish( intersection( X, Z ),
% 2.54/2.96 intersection( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62958, [ ~( equalish( X, Y ) ), equalish( intersection( Z, X ),
% 2.54/2.96 intersection( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62959, [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse(
% 2.54/2.96 Y ) ) ] )
% 2.54/2.96 , clause( 62960, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( X
% 2.54/2.96 , Z, T ), 'not_homomorphism1'( Y, Z, T ) ) ] )
% 2.54/2.96 , clause( 62961, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z
% 2.54/2.96 , X, T ), 'not_homomorphism1'( Z, Y, T ) ) ] )
% 2.54/2.96 , clause( 62962, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism1'( Z
% 2.54/2.96 , T, X ), 'not_homomorphism1'( Z, T, Y ) ) ] )
% 2.54/2.96 , clause( 62963, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( X
% 2.54/2.96 , Z, T ), 'not_homomorphism2'( Y, Z, T ) ) ] )
% 2.54/2.96 , clause( 62964, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z
% 2.54/2.96 , X, T ), 'not_homomorphism2'( Z, Y, T ) ) ] )
% 2.54/2.96 , clause( 62965, [ ~( equalish( X, Y ) ), equalish( 'not_homomorphism2'( Z
% 2.54/2.96 , T, X ), 'not_homomorphism2'( Z, T, Y ) ) ] )
% 2.54/2.96 , clause( 62966, [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'(
% 2.54/2.96 X, Z ), 'not_subclass_element'( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62967, [ ~( equalish( X, Y ) ), equalish( 'not_subclass_element'(
% 2.54/2.96 Z, X ), 'not_subclass_element'( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62968, [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( X, Z )
% 2.54/2.96 , 'ordered_pair'( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62969, [ ~( equalish( X, Y ) ), equalish( 'ordered_pair'( Z, X )
% 2.54/2.96 , 'ordered_pair'( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62970, [ ~( equalish( X, Y ) ), equalish( 'power_class'( X ),
% 2.54/2.96 'power_class'( Y ) ) ] )
% 2.54/2.96 , clause( 62971, [ ~( equalish( X, Y ) ), equalish( range( X, Z, T ), range(
% 2.54/2.96 Y, Z, T ) ) ] )
% 2.54/2.96 , clause( 62972, [ ~( equalish( X, Y ) ), equalish( range( Z, X, T ), range(
% 2.54/2.96 Z, Y, T ) ) ] )
% 2.54/2.96 , clause( 62973, [ ~( equalish( X, Y ) ), equalish( range( Z, T, X ), range(
% 2.54/2.96 Z, T, Y ) ) ] )
% 2.54/2.96 , clause( 62974, [ ~( equalish( X, Y ) ), equalish( 'range_of'( X ),
% 2.54/2.96 'range_of'( Y ) ) ] )
% 2.54/2.96 , clause( 62975, [ ~( equalish( X, Y ) ), equalish( regular( X ), regular(
% 2.54/2.96 Y ) ) ] )
% 2.54/2.96 , clause( 62976, [ ~( equalish( X, Y ) ), equalish( restrict( X, Z, T ),
% 2.54/2.96 restrict( Y, Z, T ) ) ] )
% 2.54/2.96 , clause( 62977, [ ~( equalish( X, Y ) ), equalish( restrict( Z, X, T ),
% 2.54/2.96 restrict( Z, Y, T ) ) ] )
% 2.54/2.96 , clause( 62978, [ ~( equalish( X, Y ) ), equalish( restrict( Z, T, X ),
% 2.54/2.96 restrict( Z, T, Y ) ) ] )
% 2.54/2.96 , clause( 62979, [ ~( equalish( X, Y ) ), equalish( rotate( X ), rotate( Y
% 2.54/2.96 ) ) ] )
% 2.54/2.96 , clause( 62980, [ ~( equalish( X, Y ) ), equalish( second( X ), second( Y
% 2.54/2.96 ) ) ] )
% 2.54/2.96 , clause( 62981, [ ~( equalish( X, Y ) ), equalish( singleton( X ),
% 2.54/2.96 singleton( Y ) ) ] )
% 2.54/2.96 , clause( 62982, [ ~( equalish( X, Y ) ), equalish( successor( X ),
% 2.54/2.96 successor( Y ) ) ] )
% 2.54/2.96 , clause( 62983, [ ~( equalish( X, Y ) ), equalish( 'sum_class'( X ),
% 2.54/2.96 'sum_class'( Y ) ) ] )
% 2.54/2.96 , clause( 62984, [ ~( equalish( X, Y ) ), equalish( union( X, Z ), union( Y
% 2.54/2.96 , Z ) ) ] )
% 2.54/2.96 , clause( 62985, [ ~( equalish( X, Y ) ), equalish( union( Z, X ), union( Z
% 2.54/2.96 , Y ) ) ] )
% 2.54/2.96 , clause( 62986, [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( X, Z
% 2.54/2.96 ), 'unordered_pair'( Y, Z ) ) ] )
% 2.54/2.96 , clause( 62987, [ ~( equalish( X, Y ) ), equalish( 'unordered_pair'( Z, X
% 2.54/2.96 ), 'unordered_pair'( Z, Y ) ) ] )
% 2.54/2.96 , clause( 62988, [ ~( equalish( X, Y ) ), ~( compatible( X, Z, T ) ),
% 2.54/2.96 compatible( Y, Z, T ) ] )
% 2.54/2.96 , clause( 62989, [ ~( equalish( X, Y ) ), ~( compatible( Z, X, T ) ),
% 2.54/2.96 compatible( Z, Y, T ) ] )
% 2.54/2.96 , clause( 62990, [ ~( equalish( X, Y ) ), ~( compatible( Z, T, X ) ),
% 2.54/2.96 compatible( Z, T, Y ) ] )
% 2.54/2.96 , clause( 62991, [ ~( equalish( X, Y ) ), ~( function( X ) ), function( Y )
% 2.54/2.96 ] )
% 2.54/2.96 , clause( 62992, [ ~( equalish( X, Y ) ), ~( homomorphism( X, Z, T ) ),
% 2.54/2.96 homomorphism( Y, Z, T ) ] )
% 2.54/2.96 , clause( 62993, [ ~( equalish( X, Y ) ), ~( homomorphism( Z, X, T ) ),
% 2.54/2.96 homomorphism( Z, Y, T ) ] )
% 2.54/2.96 , clause( 62994, [ ~( equalish( X, Y ) ), ~( homomorphism( Z, T, X ) ),
% 2.54/2.96 homomorphism( Z, T, Y ) ] )
% 2.54/2.96 , clause( 62995, [ ~( equalish( X, Y ) ), ~( inductive( X ) ), inductive( Y
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 62996, [ ~( equalish( X, Y ) ), ~( member( X, Z ) ), member( Y, Z
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 62997, [ ~( equalish( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 62998, [ ~( equalish( X, Y ) ), ~( 'one_to_one'( X ) ),
% 2.54/2.96 'one_to_one'( Y ) ] )
% 2.54/2.96 , clause( 62999, [ ~( equalish( X, Y ) ), ~( operation( X ) ), operation( Y
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 63000, [ ~( equalish( X, Y ) ), ~( 'single_valued_class'( X ) ),
% 2.54/2.96 'single_valued_class'( Y ) ] )
% 2.54/2.96 , clause( 63001, [ ~( equalish( X, Y ) ), ~( subclass( X, Z ) ), subclass(
% 2.54/2.96 Y, Z ) ] )
% 2.54/2.96 , clause( 63002, [ ~( equalish( X, Y ) ), ~( subclass( Z, X ) ), subclass(
% 2.54/2.96 Z, Y ) ] )
% 2.54/2.96 , clause( 63003, [ ~( subclass( X, Y ) ), ~( member( Z, X ) ), member( Z, Y
% 2.54/2.96 ) ] )
% 2.54/2.96 , clause( 63004, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.54/2.96 , Y ) ] )
% 2.54/2.96 , clause( 63005, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.54/2.96 subclass( X, Y ) ] )
% 2.54/2.96 , clause( 63006, [ subclass( X, 'universal_class' ) ] )
% 2.54/2.96 , clause( 63007, [ ~( equalish( X, Y ) ), subclass( X, Y ) ] )
% 2.54/2.96 , clause( 63008, [ ~( equalish( X, Y ) ), subclass( Y, X ) ] )
% 2.54/2.96 , clause( 63009, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish(
% 2.54/2.96 X, Y ) ] )
% 2.54/2.96 , clause( 63010, [ ~( member( X, 'unordered_pair'( Y, Z ) ) ), equalish( X
% 2.54/2.96 , Y ), equalish( X, Z ) ] )
% 2.54/2.96 , clause( 63011, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.54/2.96 'unordered_pair'( X, Y ) ) ] )
% 2.54/2.96 , clause( 63012, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.54/2.96 'unordered_pair'( Y, X ) ) ] )
% 2.54/2.96 , clause( 63013, [ member( 'unordered_pair'( X, Y ), 'universal_class' ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63014, [ equalish( 'unordered_pair'( X, X ), singleton( X ) ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63015, [ equalish( 'unordered_pair'( singleton( X ),
% 2.54/2.96 'unordered_pair'( X, singleton( Y ) ) ), 'ordered_pair'( X, Y ) ) ] )
% 2.54/2.96 , clause( 63016, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.54/2.96 ) ) ), member( X, Z ) ] )
% 2.54/2.96 , clause( 63017, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'( Z, T
% 2.54/2.96 ) ) ), member( Y, T ) ] )
% 2.54/2.96 , clause( 63018, [ ~( member( X, Y ) ), ~( member( Z, T ) ), member(
% 2.54/2.96 'ordered_pair'( X, Z ), 'cross_product'( Y, T ) ) ] )
% 2.54/2.96 , clause( 63019, [ ~( member( X, 'cross_product'( Y, Z ) ) ), equalish(
% 2.54/2.96 'ordered_pair'( first( X ), second( X ) ), X ) ] )
% 2.54/2.96 , clause( 63020, [ subclass( 'element_relation', 'cross_product'(
% 2.54/2.96 'universal_class', 'universal_class' ) ) ] )
% 2.54/2.96 , clause( 63021, [ ~( member( 'ordered_pair'( X, Y ), 'element_relation' )
% 2.54/2.96 ), member( X, Y ) ] )
% 2.54/2.96 , clause( 63022, [ ~( member( 'ordered_pair'( X, Y ), 'cross_product'(
% 2.54/2.96 'universal_class', 'universal_class' ) ) ), ~( member( X, Y ) ), member(
% 2.54/2.96 'ordered_pair'( X, Y ), 'element_relation' ) ] )
% 2.54/2.96 , clause( 63023, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63024, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63025, [ ~( member( X, Y ) ), ~( member( X, Z ) ), member( X,
% 2.54/2.96 intersection( Y, Z ) ) ] )
% 2.54/2.96 , clause( 63026, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63027, [ ~( member( X, 'universal_class' ) ), member( X,
% 2.54/2.96 complement( Y ) ), member( X, Y ) ] )
% 2.54/2.96 , clause( 63028, [ equalish( complement( intersection( complement( X ),
% 2.54/2.96 complement( Y ) ) ), union( X, Y ) ) ] )
% 2.54/2.96 , clause( 63029, [ equalish( intersection( complement( intersection( X, Y )
% 2.54/2.96 ), complement( intersection( complement( X ), complement( Y ) ) ) ),
% 2.54/2.96 'symmetric_difference'( X, Y ) ) ] )
% 2.54/2.96 , clause( 63030, [ equalish( intersection( X, 'cross_product'( Y, Z ) ),
% 2.54/2.96 restrict( X, Y, Z ) ) ] )
% 2.54/2.96 , clause( 63031, [ equalish( intersection( 'cross_product'( X, Y ), Z ),
% 2.54/2.96 restrict( Z, X, Y ) ) ] )
% 2.54/2.96 , clause( 63032, [ ~( equalish( restrict( X, singleton( Y ),
% 2.54/2.96 'universal_class' ), 'null_class' ) ), ~( member( Y, 'domain_of'( X ) ) )
% 2.54/2.96 ] )
% 2.54/2.96 , clause( 63033, [ ~( member( X, 'universal_class' ) ), equalish( restrict(
% 2.54/2.96 Y, singleton( X ), 'universal_class' ), 'null_class' ), member( X,
% 2.54/2.96 'domain_of'( Y ) ) ] )
% 2.54/2.96 , clause( 63034, [ subclass( rotate( X ), 'cross_product'( 'cross_product'(
% 2.54/2.96 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.54/2.96 , clause( 63035, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.54/2.96 rotate( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, Z ), X ), T )
% 2.54/2.96 ] )
% 2.54/2.96 , clause( 63036, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.54/2.96 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Z, X ), Y ),
% 2.54/2.96 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.54/2.96 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Z, X )
% 2.54/2.96 , Y ), rotate( T ) ) ] )
% 2.54/2.96 , clause( 63037, [ subclass( flip( X ), 'cross_product'( 'cross_product'(
% 2.54/2.96 'universal_class', 'universal_class' ), 'universal_class' ) ) ] )
% 2.54/2.96 , clause( 63038, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.54/2.96 flip( T ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ), T ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63039, [ ~( member( 'ordered_pair'( 'ordered_pair'( X, Y ), Z ),
% 2.54/2.96 T ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, X ), Z ),
% 2.54/2.96 'cross_product'( 'cross_product'( 'universal_class', 'universal_class' )
% 2.54/2.96 , 'universal_class' ) ) ), member( 'ordered_pair'( 'ordered_pair'( Y, X )
% 2.54/2.96 , Z ), flip( T ) ) ] )
% 2.54/2.96 , clause( 63040, [ equalish( 'domain_of'( flip( 'cross_product'( X,
% 2.54/2.96 'universal_class' ) ) ), inverse( X ) ) ] )
% 2.54/2.96 , clause( 63041, [ equalish( 'domain_of'( inverse( X ) ), 'range_of'( X ) )
% 2.54/2.96 ] )
% 2.54/2.96 , clause( 63042, [ equalish( first( 'not_subclass_element'( restrict( X, Y
% 2.54/2.96 , singleton( Z ) ), 'null_class' ) ), domain( X, Y, Z ) ) ] )
% 2.54/2.96 , clause( 63043, [ equalish( second( 'not_subclass_element'( restrict( X,
% 2.54/2.96 singleton( Y ), Z ), 'null_class' ) ), range( X, Y, Z ) ) ] )
% 2.54/2.96 , clause( 63044, [ equalish( 'range_of'( restrict( X, Y, 'universal_class'
% 2.54/2.96 ) ), image( X, Y ) ) ] )
% 2.54/2.96 , clause( 63045, [ equalish( union( X, singleton( X ) ), successor( X ) ) ]
% 2.54/2.96 )
% 2.54/2.96 , clause( 63046, [ subclass( 'successor_relation', 'cross_product'(
% 2.54/2.96 'universal_class', 'universal_class' ) ) ] )
% 2.54/2.97 , clause( 63047, [ ~( member( 'ordered_pair'( X, Y ), 'successor_relation'
% 2.54/2.97 ) ), equalish( successor( X ), Y ) ] )
% 2.54/2.97 , clause( 63048, [ ~( equalish( successor( X ), Y ) ), ~( member(
% 2.54/2.97 'ordered_pair'( X, Y ), 'cross_product'( 'universal_class',
% 2.54/2.97 'universal_class' ) ) ), member( 'ordered_pair'( X, Y ),
% 2.54/2.97 'successor_relation' ) ] )
% 2.54/2.97 , clause( 63049, [ ~( inductive( X ) ), member( 'null_class', X ) ] )
% 2.54/2.97 , clause( 63050, [ ~( inductive( X ) ), subclass( image(
% 2.54/2.97 'successor_relation', X ), X ) ] )
% 2.54/2.97 , clause( 63051, [ ~( member( 'null_class', X ) ), ~( subclass( image(
% 2.54/2.97 'successor_relation', X ), X ) ), inductive( X ) ] )
% 2.54/2.97 , clause( 63052, [ inductive( omega ) ] )
% 2.54/2.97 , clause( 63053, [ ~( inductive( X ) ), subclass( omega, X ) ] )
% 2.54/2.97 , clause( 63054, [ member( omega, 'universal_class' ) ] )
% 2.54/2.97 , clause( 63055, [ equalish( 'domain_of'( restrict( 'element_relation',
% 2.54/2.97 'universal_class', X ) ), 'sum_class'( X ) ) ] )
% 2.54/2.97 , clause( 63056, [ ~( member( X, 'universal_class' ) ), member( 'sum_class'(
% 2.54/2.97 X ), 'universal_class' ) ] )
% 2.54/2.97 , clause( 63057, [ equalish( complement( image( 'element_relation',
% 2.54/2.97 complement( X ) ) ), 'power_class'( X ) ) ] )
% 2.54/2.97 , clause( 63058, [ ~( member( X, 'universal_class' ) ), member(
% 2.54/2.97 'power_class'( X ), 'universal_class' ) ] )
% 2.54/2.97 , clause( 63059, [ subclass( compose( X, Y ), 'cross_product'(
% 2.54/2.97 'universal_class', 'universal_class' ) ) ] )
% 2.54/2.97 , clause( 63060, [ ~( member( 'ordered_pair'( X, Y ), compose( Z, T ) ) ),
% 2.54/2.97 member( Y, image( Z, image( T, singleton( X ) ) ) ) ] )
% 2.54/2.97 , clause( 63061, [ ~( member( X, image( Y, image( Z, singleton( T ) ) ) ) )
% 2.54/2.97 , ~( member( 'ordered_pair'( T, X ), 'cross_product'( 'universal_class',
% 2.54/2.97 'universal_class' ) ) ), member( 'ordered_pair'( T, X ), compose( Y, Z )
% 2.54/2.97 ) ] )
% 2.54/2.97 , clause( 63062, [ ~( 'single_valued_class'( X ) ), subclass( compose( X,
% 2.54/2.97 inverse( X ) ), 'identity_relation' ) ] )
% 2.54/2.97 , clause( 63063, [ ~( subclass( compose( X, inverse( X ) ),
% 2.54/2.97 'identity_relation' ) ), 'single_valued_class'( X ) ] )
% 2.54/2.97 , clause( 63064, [ ~( function( X ) ), subclass( X, 'cross_product'(
% 2.54/2.97 'universal_class', 'universal_class' ) ) ] )
% 2.54/2.97 , clause( 63065, [ ~( function( X ) ), subclass( compose( X, inverse( X ) )
% 2.54/2.97 , 'identity_relation' ) ] )
% 2.54/2.97 , clause( 63066, [ ~( subclass( X, 'cross_product'( 'universal_class',
% 2.54/2.97 'universal_class' ) ) ), ~( subclass( compose( X, inverse( X ) ),
% 2.54/2.97 'identity_relation' ) ), function( X ) ] )
% 2.54/2.97 , clause( 63067, [ ~( function( X ) ), ~( member( Y, 'universal_class' ) )
% 2.54/2.97 , member( image( X, Y ), 'universal_class' ) ] )
% 2.54/2.97 , clause( 63068, [ equalish( X, 'null_class' ), member( regular( X ), X ) ]
% 2.54/2.97 )
% 2.54/2.97 , clause( 63069, [ equalish( X, 'null_class' ), equalish( intersection( X,
% 2.54/2.97 regular( X ) ), 'null_class' ) ] )
% 2.54/2.97 , clause( 63070, [ equalish( 'sum_class'( image( X, singleton( Y ) ) ),
% 2.54/2.97 apply( X, Y ) ) ] )
% 2.54/2.97 , clause( 63071, [ function( choice ) ] )
% 2.54/2.97 , clause( 63072, [ ~( member( X, 'universal_class' ) ), equalish( X,
% 2.54/2.97 'null_class' ), member( apply( choice, X ), X ) ] )
% 2.54/2.97 , clause( 63073, [ ~( 'one_to_one'( X ) ), function( X ) ] )
% 2.54/2.97 , clause( 63074, [ ~( 'one_to_one'( X ) ), function( inverse( X ) ) ] )
% 2.54/2.97 , clause( 63075, [ ~( function( inverse( X ) ) ), ~( function( X ) ),
% 2.54/2.97 'one_to_one'( X ) ] )
% 2.54/2.97 , clause( 63076, [ equalish( intersection( 'cross_product'(
% 2.54/2.97 'universal_class', 'universal_class' ), intersection( 'cross_product'(
% 2.54/2.97 'universal_class', 'universal_class' ), complement( compose( complement(
% 2.54/2.97 'element_relation' ), inverse( 'element_relation' ) ) ) ) ),
% 2.54/2.97 'subset_relation' ) ] )
% 2.54/2.97 , clause( 63077, [ equalish( intersection( inverse( 'subset_relation' ),
% 2.54/2.97 'subset_relation' ), 'identity_relation' ) ] )
% 2.54/2.97 , clause( 63078, [ equalish( complement( 'domain_of'( intersection( X,
% 2.54/2.97 'identity_relation' ) ) ), diagonalise( X ) ) ] )
% 2.54/2.97 , clause( 63079, [ equalish( intersection( 'domain_of'( X ), diagonalise(
% 2.54/2.97 compose( inverse( 'element_relation' ), X ) ) ), cantor( X ) ) ] )
% 2.54/2.97 , clause( 63080, [ ~( operation( X ) ), function( X ) ] )
% 2.54/2.97 , clause( 63081, [ ~( operation( X ) ), equalish( 'cross_product'(
% 2.54/2.97 'domain_of'( 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ),
% 2.54/2.97 'domain_of'( X ) ) ] )
% 2.54/2.97 , clause( 63082, [ ~( operation( X ) ), subclass( 'range_of'( X ),
% 2.54/2.97 'domain_of'( 'domain_of'( X ) ) ) ] )
% 2.54/2.97 , clause( 63083, [ ~( function( X ) ), ~( equalish( 'cross_product'(
% 2.54/2.97 'domain_of'( 'domain_of'( X ) ), 'domain_of'( 'domain_of'( X ) ) ),
% 2.54/2.97 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ), 'domain_of'(
% 2.54/2.97 'domain_of'( X ) ) ) ), operation( X ) ] )
% 2.54/2.97 , clause( 63084, [ ~( compatible( X, Y, Z ) ), function( X ) ] )
% 2.54/2.97 , clause( 63085, [ ~( compatible( X, Y, Z ) ), equalish( 'domain_of'(
% 2.54/2.97 'domain_of'( Y ) ), 'domain_of'( X ) ) ] )
% 2.54/2.97 , clause( 63086, [ ~( compatible( X, Y, Z ) ), subclass( 'range_of'( X ),
% 2.54/2.97 'domain_of'( 'domain_of'( Z ) ) ) ] )
% 2.54/2.97 , clause( 63087, [ ~( function( X ) ), ~( equalish( 'domain_of'(
% 2.54/2.97 'domain_of'( Y ) ), 'domain_of'( X ) ) ), ~( subclass( 'range_of'( X ),
% 2.54/2.97 'domain_of'( 'domain_of'( Z ) ) ) ), compatible( T, Y, Z ) ] )
% 2.54/2.97 , clause( 63088, [ ~( homomorphism( X, Y, Z ) ), operation( Y ) ] )
% 2.54/2.97 , clause( 63089, [ ~( homomorphism( X, Y, Z ) ), operation( Z ) ] )
% 2.54/2.97 , clause( 63090, [ ~( homomorphism( X, Y, Z ) ), compatible( X, Y, Z ) ] )
% 2.54/2.97 , clause( 63091, [ ~( homomorphism( X, Y, Z ) ), ~( member( 'ordered_pair'(
% 2.54/2.97 T, U ), 'domain_of'( Y ) ) ), equalish( apply( Z, 'ordered_pair'( apply(
% 2.54/2.97 X, T ), apply( X, U ) ) ), apply( X, apply( Y, 'ordered_pair'( T, U ) ) )
% 2.54/2.97 ) ] )
% 2.54/2.97 , clause( 63092, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.54/2.97 Z, X, Y ) ), member( 'ordered_pair'( 'not_homomorphism1'( Z, X, Y ),
% 2.54/2.97 'not_homomorphism2'( Z, X, Y ) ), 'domain_of'( X ) ), homomorphism( Z, X
% 2.54/2.97 , Y ) ] )
% 2.54/2.97 , clause( 63093, [ ~( operation( X ) ), ~( operation( Y ) ), ~( compatible(
% 2.54/2.97 Z, X, Y ) ), ~( equalish( apply( Y, 'ordered_pair'( apply( Z,
% 2.54/2.97 'not_homomorphism1'( Z, X, Y ) ), apply( Z, 'not_homomorphism2'( Z, X, Y
% 2.54/2.97 ) ) ) ), apply( Z, apply( X, 'ordered_pair'( 'not_homomorphism1'( Z, X,
% 2.54/2.97 Y ), 'not_homomorphism2'( Z, X, Y ) ) ) ) ) ), homomorphism( Z, X, Y ) ]
% 2.54/2.97 )
% 2.54/2.97 , clause( 63094, [ ~( equalish( x, x ) ) ] )
% 2.54/2.97 ] ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 68, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X, Y )
% 2.54/2.97 ] )
% 2.54/2.97 , clause( 63004, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.54/2.97 , Y ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.54/2.97 ), ==>( 1, 1 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 69, [ subclass( X, Y ), ~( member( 'not_subclass_element'( X, Y ),
% 2.54/2.97 Y ) ) ] )
% 2.54/2.97 , clause( 63005, [ ~( member( 'not_subclass_element'( X, Y ), Y ) ),
% 2.54/2.97 subclass( X, Y ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.54/2.97 ), ==>( 1, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 71, [ subclass( X, Y ), ~( equalish( X, Y ) ) ] )
% 2.54/2.97 , clause( 63007, [ ~( equalish( X, Y ) ), subclass( X, Y ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.54/2.97 ), ==>( 1, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X )
% 2.54/2.97 ) ] )
% 2.54/2.97 , clause( 63009, [ ~( subclass( X, Y ) ), ~( subclass( Y, X ) ), equalish(
% 2.54/2.97 X, Y ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.54/2.97 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 158, [ ~( equalish( x, x ) ) ] )
% 2.54/2.97 , clause( 63094, [ ~( equalish( x, x ) ) ] )
% 2.54/2.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 factor(
% 2.54/2.97 clause( 63109, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X
% 2.54/2.97 ) ) ] )
% 2.54/2.97 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 159, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , clause( 63109, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.54/2.97 1 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63110, [ equalish( X, X ), member( 'not_subclass_element'( X, X ),
% 2.54/2.97 X ) ] )
% 2.54/2.97 , clause( 159, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , 1, clause( 68, [ member( 'not_subclass_element'( X, Y ), X ), subclass( X
% 2.54/2.97 , Y ) ] )
% 2.54/2.97 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 2.54/2.97 , X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 6736, [ equalish( X, X ), member( 'not_subclass_element'( X, X ), X
% 2.54/2.97 ) ] )
% 2.54/2.97 , clause( 63110, [ equalish( X, X ), member( 'not_subclass_element'( X, X )
% 2.54/2.97 , X ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.54/2.97 1 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63111, [ subclass( X, X ), equalish( X, X ) ] )
% 2.54/2.97 , clause( 69, [ subclass( X, Y ), ~( member( 'not_subclass_element'( X, Y )
% 2.54/2.97 , Y ) ) ] )
% 2.54/2.97 , 1, clause( 6736, [ equalish( X, X ), member( 'not_subclass_element'( X, X
% 2.54/2.97 ), X ) ] )
% 2.54/2.97 , 1, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 2.54/2.97 , X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63112, [ subclass( X, X ), subclass( X, X ) ] )
% 2.54/2.97 , clause( 71, [ subclass( X, Y ), ~( equalish( X, Y ) ) ] )
% 2.54/2.97 , 1, clause( 63111, [ subclass( X, X ), equalish( X, X ) ] )
% 2.54/2.97 , 1, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 2.54/2.97 , X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 factor(
% 2.54/2.97 clause( 63113, [ subclass( X, X ) ] )
% 2.54/2.97 , clause( 63112, [ subclass( X, X ), subclass( X, X ) ] )
% 2.54/2.97 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 62929, [ subclass( X, X ) ] )
% 2.54/2.97 , clause( 63113, [ subclass( X, X ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63114, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , clause( 73, [ equalish( X, Y ), ~( subclass( X, Y ) ), ~( subclass( Y, X
% 2.54/2.97 ) ) ] )
% 2.54/2.97 , 1, clause( 62929, [ subclass( X, X ) ] )
% 2.54/2.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 2.54/2.97 , X )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63115, [ equalish( X, X ) ] )
% 2.54/2.97 , clause( 63114, [ equalish( X, X ), ~( subclass( X, X ) ) ] )
% 2.54/2.97 , 1, clause( 62929, [ subclass( X, X ) ] )
% 2.54/2.97 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.54/2.97 ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 62931, [ equalish( X, X ) ] )
% 2.54/2.97 , clause( 63115, [ equalish( X, X ) ] )
% 2.54/2.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 resolution(
% 2.54/2.97 clause( 63116, [] )
% 2.54/2.97 , clause( 158, [ ~( equalish( x, x ) ) ] )
% 2.54/2.97 , 0, clause( 62931, [ equalish( X, X ) ] )
% 2.54/2.97 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 subsumption(
% 2.54/2.97 clause( 62934, [] )
% 2.54/2.97 , clause( 63116, [] )
% 2.54/2.97 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 end.
% 2.54/2.97
% 2.54/2.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.54/2.97
% 2.54/2.97 Memory use:
% 2.54/2.97
% 2.54/2.97 space for terms: 751352
% 2.54/2.97 space for clauses: 6010118
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 clauses generated: 86456
% 2.54/2.97 clauses kept: 62935
% 2.54/2.97 clauses selected: 2388
% 2.54/2.97 clauses deleted: 1595
% 2.54/2.97 clauses inuse deleted: 46
% 2.54/2.97
% 2.54/2.97 subsentry: 23861
% 2.54/2.97 literals s-matched: 15847
% 2.54/2.97 literals matched: 15841
% 2.54/2.97 full subsumption: 274
% 2.54/2.97
% 2.54/2.97 checksum: 488638822
% 2.54/2.97
% 2.54/2.97
% 2.54/2.97 Bliksem ended
%------------------------------------------------------------------------------