TSTP Solution File: SET012-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET012-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:45:15 EDT 2022
% Result : Unsatisfiable 42.49s 42.86s
% Output : Refutation 42.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.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 : Sun Jul 10 16:30:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 0.71/1.10 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 0.71/1.10 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 0.71/1.10 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 0.71/1.10 ],
% 0.71/1.10 [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 =( X, Y ) ) ],
% 0.71/1.10 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 =( X, Z ) ) ],
% 0.71/1.10 [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ],
% 0.71/1.10 [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ],
% 0.71/1.10 [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'( 'singleton_set'( X ),
% 0.71/1.10 'non_ordered_pair'( X, Y ) ) ) ],
% 0.71/1.10 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X ) ) ],
% 0.71/1.10 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X ) ) ],
% 0.71/1.10 [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'( f2( X ), f3(
% 0.71/1.10 X ) ) ) ],
% 0.71/1.10 [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.71/1.10 Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ],
% 0.71/1.10 [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) ) ],
% 0.71/1.10 [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) ) ],
% 0.71/1.10 [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4( X, Y ), f5( X
% 0.71/1.10 , Y ) ) ) ],
% 0.71/1.10 [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ],
% 0.71/1.10 [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.71/1.10 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z ) ) ],
% 0.71/1.10 [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y ) ) ],
% 0.71/1.10 [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y ) ) ],
% 0.71/1.10 [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6( X, Y ), f7( X
% 0.71/1.10 , Y ) ) ) ],
% 0.71/1.10 [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ],
% 0.71/1.10 [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.71/1.10 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T ) ) ],
% 0.71/1.10 [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ],
% 0.71/1.10 [ ~( member( X, estin ) ), member( first( X ), second( X ) ) ],
% 0.71/1.10 [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.71/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.71/1.10 [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ), ~( member( X,
% 0.71/1.10 Z ) ) ],
% 0.71/1.10 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.71/1.10 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ =( union( X, Y ), complement( intersection( complement( X ),
% 0.71/1.10 complement( Y ) ) ) ) ],
% 0.71/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), 'ordered_pair_predicate'( f8( X, Y
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ), Y ) ],
% 0.71/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X, Y ) ) ) ],
% 0.71/1.10 [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first( Z )
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), 'ordered_pair_predicate'( X
% 0.71/1.10 ) ],
% 0.71/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first( X ), Y ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( second( X ), Z ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ), ~( member(
% 0.71/1.10 second( X ), Z ) ) ],
% 0.71/1.10 [ ~( member( X, converse( Y ) ) ), 'ordered_pair_predicate'( X ) ],
% 0.71/1.10 [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'( second( X ),
% 0.71/1.10 first( X ) ), Y ) ],
% 0.71/1.10 [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 0.71/1.10 first( X ) ), Y ) ) ],
% 0.71/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), =( X, 'ordered_pair'( f9( X, Y
% 0.71/1.10 ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) ) ) ],
% 0.71/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), member( 'ordered_pair'( f10( X
% 0.71/1.10 , Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) ), Y ) ],
% 0.71/1.10 [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.71/1.10 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.71/1.10 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ],
% 0.71/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f12( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f13( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f14( X, Y ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X, 'ordered_pair'( f12( X,
% 0.71/1.10 Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) ) ) ],
% 0.71/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), member( 'ordered_pair'( f12( X
% 0.71/1.10 , Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) ), Y ) ],
% 0.71/1.10 [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.71/1.10 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.71/1.10 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ],
% 0.71/1.10 [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ],
% 0.71/1.10 [ ~( member( X, 'empty_set' ) ) ],
% 0.71/1.10 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 0.71/1.10 [ 'little_set'( infinity ) ],
% 0.71/1.10 [ member( 'empty_set', infinity ) ],
% 0.71/1.10 [ ~( member( X, infinity ) ), member( successor( X ), infinity ) ],
% 0.71/1.10 [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ],
% 0.71/1.10 [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ],
% 0.71/1.10 [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member( X, Z ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ],
% 0.71/1.10 [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.71/1.10 [ subset( X, Y ), member( f17( X, Y ), X ) ],
% 0.71/1.10 [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ],
% 0.71/1.10 [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ],
% 0.71/1.10 [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ],
% 0.71/1.10 [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y ) ],
% 0.71/1.10 [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ],
% 0.71/1.10 [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~( subset( X, Y )
% 0.71/1.10 ) ],
% 0.71/1.10 [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ],
% 0.71/1.10 [ ~( relation( X ) ), ~( member( Y, X ) ), 'ordered_pair_predicate'( Y )
% 0.71/1.10 ],
% 0.71/1.10 [ relation( X ), member( f18( X ), X ) ],
% 0.71/1.10 [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) ) ],
% 0.71/1.10 [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.71/1.10 Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'( Y, Z ), X ) ),
% 0.71/1.10 ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f20( X ) )
% 0.71/1.10 , X ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f21( X ) )
% 0.71/1.10 , X ) ],
% 0.71/1.10 [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ],
% 0.71/1.10 [ ~( function( X ) ), relation( X ) ],
% 0.71/1.10 [ ~( function( X ) ), 'single_valued_set'( X ) ],
% 0.71/1.10 [ function( X ), ~( relation( X ) ), ~( 'single_valued_set'( X ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, image( Y, Z ) ) ), 'ordered_pair_predicate'( f22( X, Y,
% 0.71/1.10 Z ) ) ],
% 0.71/1.10 [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z ), Z ) ],
% 0.71/1.10 [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X, Y, Z ) ), Y )
% 0.71/1.10 ],
% 0.71/1.10 [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z ) ), X ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 0.71/1.10 ), Y ) ), ~( =( second( T ), X ) ) ],
% 0.71/1.10 [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'( image( X, Y
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z, Y ) ) ],
% 0.71/1.10 [ disjoint( X, Y ), member( f23( X, Y ), X ) ],
% 0.71/1.10 [ disjoint( X, Y ), member( f23( X, Y ), Y ) ],
% 0.71/1.10 [ =( X, 'empty_set' ), member( f24( X ), X ) ],
% 0.71/1.10 [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ],
% 0.71/1.10 [ function( f25 ) ],
% 0.71/1.10 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26( X ), X ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( 'ordered_pair'( X
% 0.71/1.10 , f26( X ) ), f25 ) ],
% 0.71/1.10 [ ~( member( X, 'range_of'( Y ) ) ), 'ordered_pair_predicate'( f27( X, Y
% 0.71/1.10 ) ) ],
% 0.71/1.10 [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ), Y ) ],
% 0.71/1.10 [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X, Y ) ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second( Z
% 0.71/1.10 ) ) ) ],
% 0.71/1.10 [ ~( member( X, 'identity_relation' ) ), 'ordered_pair_predicate'( X ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, 'identity_relation' ) ), =( first( X ), second( X ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ member( X, 'identity_relation' ), ~( 'little_set'( X ) ), ~(
% 0.71/1.10 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ],
% 0.71/1.10 [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y,
% 0.71/1.10 'universal_set' ) ) ) ],
% 0.71/1.10 [ ~( 'one_to_one_function'( X ) ), function( X ) ],
% 0.71/1.10 [ ~( 'one_to_one_function'( X ) ), function( converse( X ) ) ],
% 0.71/1.10 [ 'one_to_one_function'( X ), ~( function( X ) ), ~( function( converse(
% 0.71/1.10 X ) ) ) ],
% 0.71/1.10 [ ~( member( X, apply( Y, Z ) ) ), 'ordered_pair_predicate'( f28( X, Y,
% 0.71/1.10 Z ) ) ],
% 0.71/1.10 [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z ), Y ) ],
% 0.71/1.10 [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z ) ), Z ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28( X, Y, Z ) ) )
% 0.71/1.10 ],
% 0.71/1.10 [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'( T ) ), ~(
% 0.71/1.10 member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second( T ) ) )
% 0.71/1.10 ],
% 0.71/1.10 [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X, 'ordered_pair'( Y, Z
% 0.71/1.10 ) ) ) ],
% 0.71/1.10 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.71/1.10 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.71/1.10 [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ],
% 0.71/1.10 [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'( X ), Y ) ),
% 0.71/1.10 ~( subset( 'range_of'( X ), Z ) ) ],
% 0.71/1.10 [ ~( closed( X, Y ) ), 'little_set'( X ) ],
% 0.71/1.10 [ ~( closed( X, Y ) ), 'little_set'( Y ) ],
% 0.71/1.10 [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X ) ],
% 0.71/1.10 [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 0.71/1.10 maps( Y, 'cross_product'( X, X ), X ) ) ],
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X, Y, Z ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X, Y, Z ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X, Y, Z ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'( f29( X, Y, Z
% 0.71/1.10 ), f30( X, Y, Z ) ) ) ],
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f29( X, Y,
% 0.71/1.10 Z ), f31( X, Y, Z ) ), Y ) ],
% 0.71/1.10 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f31( X, Y,
% 0.71/1.10 Z ), f30( X, Y, Z ) ), Z ) ],
% 0.71/1.10 [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 0.71/1.10 T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ), ~( =( X,
% 0.71/1.10 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y ) ), ~(
% 0.71/1.10 member( 'ordered_pair'( W, U ), Z ) ) ],
% 0.71/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ],
% 0.71/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ],
% 0.71/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ],
% 0.71/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) ), ~( member( V0
% 0.71/1.10 , Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 ) ),
% 0.71/1.10 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ],
% 0.71/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.71/1.10 ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y ) ],
% 0.71/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.71/1.10 ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y ) ],
% 0.71/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 7.56/7.94 ), ~( maps( X, Y, T ) ), ~( =( apply( X, 'apply_to_two_arguments'( Z,
% 7.56/7.94 f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) ) ), 'apply_to_two_arguments'(
% 7.56/7.94 U, apply( X, f32( X, Y, Z, T, U ) ), apply( X, f33( X, Y, Z, T, U ) ) ) )
% 7.56/7.94 ) ],
% 7.56/7.94 [ =( complement( as ), bs ) ],
% 7.56/7.94 [ =( complement( bs ), cs ) ],
% 7.56/7.94 [ ~( =( as, cs ) ) ]
% 7.56/7.94 ] .
% 7.56/7.94
% 7.56/7.94
% 7.56/7.94 percentage equality = 0.139665, percentage horn = 0.861111
% 7.56/7.94 This is a problem with some equality
% 7.56/7.94
% 7.56/7.94
% 7.56/7.94
% 7.56/7.94 Options Used:
% 7.56/7.94
% 7.56/7.94 useres = 1
% 7.56/7.94 useparamod = 1
% 7.56/7.94 useeqrefl = 1
% 7.56/7.94 useeqfact = 1
% 7.56/7.94 usefactor = 1
% 7.56/7.94 usesimpsplitting = 0
% 7.56/7.94 usesimpdemod = 5
% 7.56/7.94 usesimpres = 3
% 7.56/7.94
% 7.56/7.94 resimpinuse = 1000
% 7.56/7.94 resimpclauses = 20000
% 7.56/7.94 substype = eqrewr
% 7.56/7.94 backwardsubs = 1
% 7.56/7.94 selectoldest = 5
% 7.56/7.94
% 7.56/7.94 litorderings [0] = split
% 7.56/7.94 litorderings [1] = extend the termordering, first sorting on arguments
% 7.56/7.94
% 7.56/7.94 termordering = kbo
% 7.56/7.94
% 7.56/7.94 litapriori = 0
% 7.56/7.94 termapriori = 1
% 7.56/7.94 litaposteriori = 0
% 7.56/7.94 termaposteriori = 0
% 7.56/7.94 demodaposteriori = 0
% 7.56/7.94 ordereqreflfact = 0
% 7.56/7.94
% 7.56/7.94 litselect = negord
% 7.56/7.94
% 7.56/7.94 maxweight = 15
% 7.56/7.94 maxdepth = 30000
% 7.56/7.94 maxlength = 115
% 7.56/7.94 maxnrvars = 195
% 7.56/7.94 excuselevel = 1
% 7.56/7.94 increasemaxweight = 1
% 7.56/7.94
% 7.56/7.94 maxselected = 10000000
% 7.56/7.94 maxnrclauses = 10000000
% 7.56/7.94
% 7.56/7.94 showgenerated = 0
% 7.56/7.94 showkept = 0
% 7.56/7.94 showselected = 0
% 7.56/7.94 showdeleted = 0
% 7.56/7.94 showresimp = 1
% 7.56/7.94 showstatus = 2000
% 7.56/7.94
% 7.56/7.94 prologoutput = 1
% 7.56/7.94 nrgoals = 5000000
% 7.56/7.94 totalproof = 1
% 7.56/7.94
% 7.56/7.94 Symbols occurring in the translation:
% 7.56/7.94
% 7.56/7.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.56/7.94 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 7.56/7.94 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 7.56/7.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.56/7.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.56/7.94 member [41, 2] (w:1, o:89, a:1, s:1, b:0),
% 7.56/7.94 'little_set' [42, 1] (w:1, o:38, a:1, s:1, b:0),
% 7.56/7.94 f1 [43, 2] (w:1, o:90, a:1, s:1, b:0),
% 7.56/7.94 'non_ordered_pair' [45, 2] (w:1, o:91, a:1, s:1, b:0),
% 7.56/7.94 'singleton_set' [46, 1] (w:1, o:42, a:1, s:1, b:0),
% 7.56/7.94 'ordered_pair' [47, 2] (w:1, o:92, a:1, s:1, b:0),
% 7.56/7.94 'ordered_pair_predicate' [48, 1] (w:1, o:43, a:1, s:1, b:0),
% 7.56/7.94 f2 [49, 1] (w:1, o:46, a:1, s:1, b:0),
% 7.56/7.94 f3 [50, 1] (w:1, o:51, a:1, s:1, b:0),
% 7.56/7.94 first [52, 1] (w:1, o:52, a:1, s:1, b:0),
% 7.56/7.94 f4 [53, 2] (w:1, o:93, a:1, s:1, b:0),
% 7.56/7.94 f5 [54, 2] (w:1, o:94, a:1, s:1, b:0),
% 7.56/7.94 second [56, 1] (w:1, o:53, a:1, s:1, b:0),
% 7.56/7.94 f6 [57, 2] (w:1, o:95, a:1, s:1, b:0),
% 7.56/7.94 f7 [58, 2] (w:1, o:96, a:1, s:1, b:0),
% 7.56/7.94 estin [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 7.56/7.94 intersection [60, 2] (w:1, o:98, a:1, s:1, b:0),
% 7.56/7.94 complement [61, 1] (w:1, o:54, a:1, s:1, b:0),
% 7.56/7.94 union [62, 2] (w:1, o:99, a:1, s:1, b:0),
% 7.56/7.94 'domain_of' [63, 1] (w:1, o:56, a:1, s:1, b:0),
% 7.56/7.94 f8 [64, 2] (w:1, o:100, a:1, s:1, b:0),
% 7.56/7.94 'cross_product' [66, 2] (w:1, o:101, a:1, s:1, b:0),
% 7.56/7.94 converse [67, 1] (w:1, o:55, a:1, s:1, b:0),
% 7.56/7.94 'rotate_right' [68, 1] (w:1, o:39, a:1, s:1, b:0),
% 7.56/7.94 f9 [69, 2] (w:1, o:102, a:1, s:1, b:0),
% 7.56/7.94 f10 [70, 2] (w:1, o:103, a:1, s:1, b:0),
% 7.56/7.94 f11 [71, 2] (w:1, o:104, a:1, s:1, b:0),
% 7.56/7.94 'flip_range_of' [73, 1] (w:1, o:57, a:1, s:1, b:0),
% 7.56/7.94 f12 [74, 2] (w:1, o:105, a:1, s:1, b:0),
% 7.56/7.94 f13 [75, 2] (w:1, o:106, a:1, s:1, b:0),
% 7.56/7.94 f14 [76, 2] (w:1, o:107, a:1, s:1, b:0),
% 7.56/7.94 successor [77, 1] (w:1, o:58, a:1, s:1, b:0),
% 7.56/7.94 'empty_set' [78, 0] (w:1, o:25, a:1, s:1, b:0),
% 7.56/7.94 'universal_set' [79, 0] (w:1, o:26, a:1, s:1, b:0),
% 7.56/7.94 infinity [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 7.56/7.94 sigma [81, 1] (w:1, o:59, a:1, s:1, b:0),
% 7.56/7.94 f16 [82, 2] (w:1, o:108, a:1, s:1, b:0),
% 7.56/7.94 subset [83, 2] (w:1, o:110, a:1, s:1, b:0),
% 7.56/7.94 f17 [84, 2] (w:1, o:111, a:1, s:1, b:0),
% 7.56/7.94 'proper_subset' [85, 2] (w:1, o:112, a:1, s:1, b:0),
% 7.56/7.94 powerset [86, 1] (w:1, o:61, a:1, s:1, b:0),
% 7.56/7.94 relation [87, 1] (w:1, o:40, a:1, s:1, b:0),
% 7.56/7.94 f18 [88, 1] (w:1, o:44, a:1, s:1, b:0),
% 7.56/7.94 'single_valued_set' [89, 1] (w:1, o:62, a:1, s:1, b:0),
% 7.56/7.94 f19 [90, 1] (w:1, o:45, a:1, s:1, b:0),
% 7.56/7.94 f20 [91, 1] (w:1, o:47, a:1, s:1, b:0),
% 7.56/7.94 f21 [92, 1] (w:1, o:48, a:1, s:1, b:0),
% 42.49/42.86 function [94, 1] (w:1, o:63, a:1, s:1, b:0),
% 42.49/42.86 image [95, 2] (w:1, o:97, a:1, s:1, b:0),
% 42.49/42.86 f22 [96, 3] (w:1, o:119, a:1, s:1, b:0),
% 42.49/42.86 disjoint [97, 2] (w:1, o:115, a:1, s:1, b:0),
% 42.49/42.86 f23 [98, 2] (w:1, o:116, a:1, s:1, b:0),
% 42.49/42.86 f24 [99, 1] (w:1, o:49, a:1, s:1, b:0),
% 42.49/42.86 f25 [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 42.49/42.86 f26 [101, 1] (w:1, o:50, a:1, s:1, b:0),
% 42.49/42.86 'range_of' [102, 1] (w:1, o:41, a:1, s:1, b:0),
% 42.49/42.86 f27 [103, 2] (w:1, o:117, a:1, s:1, b:0),
% 42.49/42.86 'identity_relation' [104, 0] (w:1, o:29, a:1, s:1, b:0),
% 42.49/42.86 restrict [105, 2] (w:1, o:109, a:1, s:1, b:0),
% 42.49/42.86 'one_to_one_function' [106, 1] (w:1, o:60, a:1, s:1, b:0),
% 42.49/42.86 apply [107, 2] (w:1, o:118, a:1, s:1, b:0),
% 42.49/42.86 f28 [108, 3] (w:1, o:120, a:1, s:1, b:0),
% 42.49/42.86 'apply_to_two_arguments' [109, 3] (w:1, o:121, a:1, s:1, b:0),
% 42.49/42.86 maps [110, 3] (w:1, o:122, a:1, s:1, b:0),
% 42.49/42.86 closed [112, 2] (w:1, o:113, a:1, s:1, b:0),
% 42.49/42.86 compose [114, 2] (w:1, o:114, a:1, s:1, b:0),
% 42.49/42.86 f29 [115, 3] (w:1, o:123, a:1, s:1, b:0),
% 42.49/42.86 f30 [116, 3] (w:1, o:124, a:1, s:1, b:0),
% 42.49/42.86 f31 [117, 3] (w:1, o:125, a:1, s:1, b:0),
% 42.49/42.86 homomorphism [123, 5] (w:1, o:126, a:1, s:1, b:0),
% 42.49/42.86 f32 [124, 5] (w:1, o:127, a:1, s:1, b:0),
% 42.49/42.86 f33 [125, 5] (w:1, o:128, a:1, s:1, b:0),
% 42.49/42.86 as [126, 0] (w:1, o:30, a:1, s:1, b:0),
% 42.49/42.86 bs [127, 0] (w:1, o:31, a:1, s:1, b:0),
% 42.49/42.86 cs [128, 0] (w:1, o:32, a:1, s:1, b:0).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Starting Search:
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 3688
% 42.49/42.86 Kept: 2071
% 42.49/42.86 Inuse: 91
% 42.49/42.86 Deleted: 0
% 42.49/42.86 Deletedinuse: 0
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 7195
% 42.49/42.86 Kept: 4131
% 42.49/42.86 Inuse: 149
% 42.49/42.86 Deleted: 2
% 42.49/42.86 Deletedinuse: 0
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 10699
% 42.49/42.86 Kept: 6137
% 42.49/42.86 Inuse: 212
% 42.49/42.86 Deleted: 16
% 42.49/42.86 Deletedinuse: 0
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 16272
% 42.49/42.86 Kept: 8163
% 42.49/42.86 Inuse: 256
% 42.49/42.86 Deleted: 18
% 42.49/42.86 Deletedinuse: 0
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 20113
% 42.49/42.86 Kept: 10945
% 42.49/42.86 Inuse: 293
% 42.49/42.86 Deleted: 18
% 42.49/42.86 Deletedinuse: 0
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 25440
% 42.49/42.86 Kept: 12961
% 42.49/42.86 Inuse: 345
% 42.49/42.86 Deleted: 23
% 42.49/42.86 Deletedinuse: 1
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 31763
% 42.49/42.86 Kept: 15279
% 42.49/42.86 Inuse: 380
% 42.49/42.86 Deleted: 32
% 42.49/42.86 Deletedinuse: 1
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 37598
% 42.49/42.86 Kept: 17803
% 42.49/42.86 Inuse: 413
% 42.49/42.86 Deleted: 180
% 42.49/42.86 Deletedinuse: 102
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 43956
% 42.49/42.86 Kept: 19850
% 42.49/42.86 Inuse: 460
% 42.49/42.86 Deleted: 208
% 42.49/42.86 Deletedinuse: 102
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying clauses:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 50971
% 42.49/42.86 Kept: 21861
% 42.49/42.86 Inuse: 480
% 42.49/42.86 Deleted: 3794
% 42.49/42.86 Deletedinuse: 109
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 56962
% 42.49/42.86 Kept: 23921
% 42.49/42.86 Inuse: 490
% 42.49/42.86 Deleted: 3794
% 42.49/42.86 Deletedinuse: 109
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 62580
% 42.49/42.86 Kept: 25976
% 42.49/42.86 Inuse: 529
% 42.49/42.86 Deleted: 3794
% 42.49/42.86 Deletedinuse: 109
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 68822
% 42.49/42.86 Kept: 27996
% 42.49/42.86 Inuse: 562
% 42.49/42.86 Deleted: 3797
% 42.49/42.86 Deletedinuse: 109
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 77903
% 42.49/42.86 Kept: 30037
% 42.49/42.86 Inuse: 603
% 42.49/42.86 Deleted: 3798
% 42.49/42.86 Deletedinuse: 110
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 88920
% 42.49/42.86 Kept: 32100
% 42.49/42.86 Inuse: 642
% 42.49/42.86 Deleted: 3798
% 42.49/42.86 Deletedinuse: 110
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 98274
% 42.49/42.86 Kept: 34123
% 42.49/42.86 Inuse: 679
% 42.49/42.86 Deleted: 3798
% 42.49/42.86 Deletedinuse: 110
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 109384
% 42.49/42.86 Kept: 38711
% 42.49/42.86 Inuse: 716
% 42.49/42.86 Deleted: 3802
% 42.49/42.86 Deletedinuse: 114
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 114333
% 42.49/42.86 Kept: 42036
% 42.49/42.86 Inuse: 721
% 42.49/42.86 Deleted: 3803
% 42.49/42.86 Deletedinuse: 115
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying clauses:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 119634
% 42.49/42.86 Kept: 44039
% 42.49/42.86 Inuse: 743
% 42.49/42.86 Deleted: 4575
% 42.49/42.86 Deletedinuse: 115
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 124798
% 42.49/42.86 Kept: 46039
% 42.49/42.86 Inuse: 762
% 42.49/42.86 Deleted: 4577
% 42.49/42.86 Deletedinuse: 117
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 129986
% 42.49/42.86 Kept: 48044
% 42.49/42.86 Inuse: 786
% 42.49/42.86 Deleted: 4579
% 42.49/42.86 Deletedinuse: 119
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 137495
% 42.49/42.86 Kept: 50045
% 42.49/42.86 Inuse: 823
% 42.49/42.86 Deleted: 4660
% 42.49/42.86 Deletedinuse: 200
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 154616
% 42.49/42.86 Kept: 52731
% 42.49/42.86 Inuse: 856
% 42.49/42.86 Deleted: 4662
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 169897
% 42.49/42.86 Kept: 54781
% 42.49/42.86 Inuse: 876
% 42.49/42.86 Deleted: 4662
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 176689
% 42.49/42.86 Kept: 56791
% 42.49/42.86 Inuse: 906
% 42.49/42.86 Deleted: 4662
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 184236
% 42.49/42.86 Kept: 58826
% 42.49/42.86 Inuse: 943
% 42.49/42.86 Deleted: 4662
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 192567
% 42.49/42.86 Kept: 60882
% 42.49/42.86 Inuse: 985
% 42.49/42.86 Deleted: 4662
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying clauses:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 199319
% 42.49/42.86 Kept: 62947
% 42.49/42.86 Inuse: 1014
% 42.49/42.86 Deleted: 11375
% 42.49/42.86 Deletedinuse: 202
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 207278
% 42.49/42.86 Kept: 64955
% 42.49/42.86 Inuse: 1043
% 42.49/42.86 Deleted: 11376
% 42.49/42.86 Deletedinuse: 203
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86 Resimplifying inuse:
% 42.49/42.86 Done
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Intermediate Status:
% 42.49/42.86 Generated: 225117
% 42.49/42.86 Kept: 66990
% 42.49/42.86 Inuse: 1070
% 42.49/42.86 Deleted: 11376
% 42.49/42.86 Deletedinuse: 203
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 Bliksems!, er is een bewijs:
% 42.49/42.86 % SZS status Unsatisfiable
% 42.49/42.86 % SZS output start Refutation
% 42.49/42.86
% 42.49/42.86 clause( 1, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 2, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ]
% 42.49/42.86 )
% 42.49/42.86 .
% 42.49/42.86 clause( 3, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ),
% 42.49/42.86 =( X, Y ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 30, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 31, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member(
% 42.49/42.86 X, Y ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 141, [ =( complement( as ), bs ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 142, [ =( complement( bs ), cs ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 143, [ ~( =( cs, as ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 209, [ ~( =( X, as ) ), 'little_set'( f1( X, cs ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 216, [ 'little_set'( f1( as, cs ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 243, [ ~( =( X, as ) ), member( f1( X, cs ), X ), member( f1( X, cs
% 42.49/42.86 ), cs ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 299, [ ~( =( X, as ) ), ~( member( f1( X, cs ), X ) ), ~( member(
% 42.49/42.86 f1( X, cs ), cs ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 304, [ ~( member( f1( as, cs ), as ) ), ~( member( f1( as, cs ), cs
% 42.49/42.86 ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 3945, [ ~( member( X, bs ) ), ~( member( X, as ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 3946, [ ~( member( X, cs ) ), ~( member( X, bs ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 56971, [ ~( member( f1( as, cs ), bs ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 62056, [ member( f1( as, cs ), cs ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 62385, [ ~( member( f1( as, cs ), as ) ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 66917, [ member( f1( as, cs ), bs ) ] )
% 42.49/42.86 .
% 42.49/42.86 clause( 66998, [] )
% 42.49/42.86 .
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 % SZS output end Refutation
% 42.49/42.86 found a proof!
% 42.49/42.86
% 42.49/42.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 42.49/42.86
% 42.49/42.86 initialclauses(
% 42.49/42.86 [ clause( 67000, [ ~( member( X, Y ) ), 'little_set'( X ) ] )
% 42.49/42.86 , clause( 67001, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 42.49/42.86 , clause( 67002, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X,
% 42.49/42.86 Y ) ] )
% 42.49/42.86 , clause( 67003, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y )
% 42.49/42.86 ), =( X, Y ) ] )
% 42.49/42.86 , clause( 67004, [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y )
% 42.49/42.86 , =( X, Z ) ] )
% 42.49/42.86 , clause( 67005, [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'(
% 42.49/42.86 X ) ), ~( =( X, Y ) ) ] )
% 42.49/42.86 , clause( 67006, [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'(
% 42.49/42.86 X ) ), ~( =( X, Z ) ) ] )
% 42.49/42.86 , clause( 67007, [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ] )
% 42.49/42.86 , clause( 67008, [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67009, [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'(
% 42.49/42.86 'singleton_set'( X ), 'non_ordered_pair'( X, Y ) ) ) ] )
% 42.49/42.86 , clause( 67010, [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X
% 42.49/42.86 ) ) ] )
% 42.49/42.86 , clause( 67011, [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X
% 42.49/42.86 ) ) ] )
% 42.49/42.86 , clause( 67012, [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'(
% 42.49/42.86 f2( X ), f3( X ) ) ) ] )
% 42.49/42.86 , clause( 67013, [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ),
% 42.49/42.86 ~( 'little_set'( Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ] )
% 42.49/42.86 , clause( 67014, [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67015, [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67016, [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4(
% 42.49/42.86 X, Y ), f5( X, Y ) ) ) ] )
% 42.49/42.86 , clause( 67017, [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67018, [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~(
% 42.49/42.86 'little_set'( T ) ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z
% 42.49/42.86 ) ) ] )
% 42.49/42.86 , clause( 67019, [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67020, [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67021, [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6(
% 42.49/42.86 X, Y ), f7( X, Y ) ) ) ] )
% 42.49/42.86 , clause( 67022, [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67023, [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~(
% 42.49/42.86 'little_set'( T ) ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T
% 42.49/42.86 ) ) ] )
% 42.49/42.86 , clause( 67024, [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67025, [ ~( member( X, estin ) ), member( first( X ), second( X )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67026, [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 42.49/42.86 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67027, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67028, [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67029, [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ),
% 42.49/42.86 ~( member( X, Z ) ) ] )
% 42.49/42.86 , clause( 67030, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67031, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ),
% 42.49/42.86 member( X, Y ) ] )
% 42.49/42.86 , clause( 67032, [ =( union( X, Y ), complement( intersection( complement(
% 42.49/42.86 X ), complement( Y ) ) ) ) ] )
% 42.49/42.86 , clause( 67033, [ ~( member( X, 'domain_of'( Y ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( f8( X, Y ) ) ] )
% 42.49/42.86 , clause( 67034, [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ),
% 42.49/42.86 Y ) ] )
% 42.49/42.86 , clause( 67035, [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X,
% 42.49/42.86 Y ) ) ) ] )
% 42.49/42.86 , clause( 67036, [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ),
% 42.49/42.86 ~( 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first(
% 42.49/42.86 Z ) ) ) ] )
% 42.49/42.86 , clause( 67037, [ ~( member( X, 'cross_product'( Y, Z ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( X ) ] )
% 42.49/42.86 , clause( 67038, [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first(
% 42.49/42.86 X ), Y ) ] )
% 42.49/42.86 , clause( 67039, [ ~( member( X, 'cross_product'( Y, Z ) ) ), member(
% 42.49/42.86 second( X ), Z ) ] )
% 42.49/42.86 , clause( 67040, [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X
% 42.49/42.86 ) ), ~( 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ),
% 42.49/42.86 ~( member( second( X ), Z ) ) ] )
% 42.49/42.86 , clause( 67041, [ ~( member( X, converse( Y ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( X ) ] )
% 42.49/42.86 , clause( 67042, [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'(
% 42.49/42.86 second( X ), first( X ) ), Y ) ] )
% 42.49/42.86 , clause( 67043, [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 42.49/42.86 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 42.49/42.86 first( X ) ), Y ) ) ] )
% 42.49/42.86 , clause( 67044, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9(
% 42.49/42.86 X, Y ) ) ] )
% 42.49/42.86 , clause( 67045, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10(
% 42.49/42.86 X, Y ) ) ] )
% 42.49/42.86 , clause( 67046, [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11(
% 42.49/42.86 X, Y ) ) ] )
% 42.49/42.86 , clause( 67047, [ ~( member( X, 'rotate_right'( Y ) ) ), =( X,
% 42.49/42.86 'ordered_pair'( f9( X, Y ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67048, [ ~( member( X, 'rotate_right'( Y ) ) ), member(
% 42.49/42.86 'ordered_pair'( f10( X, Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) )
% 42.49/42.86 , Y ) ] )
% 42.49/42.86 , clause( 67049, [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) )
% 42.49/42.86 , ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) )
% 42.49/42.86 , ~( =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 42.49/42.86 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ] )
% 42.49/42.86 , clause( 67050, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 42.49/42.86 f12( X, Y ) ) ] )
% 42.49/42.86 , clause( 67051, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 42.49/42.86 f13( X, Y ) ) ] )
% 42.49/42.86 , clause( 67052, [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'(
% 42.49/42.86 f14( X, Y ) ) ] )
% 42.49/42.86 , clause( 67053, [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X,
% 42.49/42.86 'ordered_pair'( f12( X, Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67054, [ ~( member( X, 'flip_range_of'( Y ) ) ), member(
% 42.49/42.86 'ordered_pair'( f12( X, Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) )
% 42.49/42.86 , Y ) ] )
% 42.49/42.86 , clause( 67055, [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X )
% 42.49/42.86 ), ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U )
% 42.49/42.86 ), ~( =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 42.49/42.86 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ] )
% 42.49/42.86 , clause( 67056, [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67057, [ ~( member( X, 'empty_set' ) ) ] )
% 42.49/42.86 , clause( 67058, [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67059, [ 'little_set'( infinity ) ] )
% 42.49/42.86 , clause( 67060, [ member( 'empty_set', infinity ) ] )
% 42.49/42.86 , clause( 67061, [ ~( member( X, infinity ) ), member( successor( X ),
% 42.49/42.86 infinity ) ] )
% 42.49/42.86 , clause( 67062, [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67063, [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67064, [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member(
% 42.49/42.86 X, Z ) ) ] )
% 42.49/42.86 , clause( 67065, [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ] )
% 42.49/42.86 , clause( 67066, [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67067, [ subset( X, Y ), member( f17( X, Y ), X ) ] )
% 42.49/42.86 , clause( 67068, [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ] )
% 42.49/42.86 , clause( 67069, [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ] )
% 42.49/42.86 , clause( 67070, [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ] )
% 42.49/42.86 , clause( 67071, [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67072, [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ] )
% 42.49/42.86 , clause( 67073, [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~(
% 42.49/42.86 subset( X, Y ) ) ] )
% 42.49/42.86 , clause( 67074, [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67075, [ ~( relation( X ) ), ~( member( Y, X ) ),
% 42.49/42.86 'ordered_pair_predicate'( Y ) ] )
% 42.49/42.86 , clause( 67076, [ relation( X ), member( f18( X ), X ) ] )
% 42.49/42.86 , clause( 67077, [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67078, [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ),
% 42.49/42.86 ~( 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'(
% 42.49/42.86 Y, Z ), X ) ), ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ] )
% 42.49/42.86 , clause( 67079, [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ] )
% 42.49/42.86 , clause( 67080, [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ] )
% 42.49/42.86 , clause( 67081, [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ] )
% 42.49/42.86 , clause( 67082, [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X
% 42.49/42.86 ), f20( X ) ), X ) ] )
% 42.49/42.86 , clause( 67083, [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X
% 42.49/42.86 ), f21( X ) ), X ) ] )
% 42.49/42.86 , clause( 67084, [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67085, [ ~( function( X ) ), relation( X ) ] )
% 42.49/42.86 , clause( 67086, [ ~( function( X ) ), 'single_valued_set'( X ) ] )
% 42.49/42.86 , clause( 67087, [ function( X ), ~( relation( X ) ), ~(
% 42.49/42.86 'single_valued_set'( X ) ) ] )
% 42.49/42.86 , clause( 67088, [ ~( member( X, image( Y, Z ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( f22( X, Y, Z ) ) ] )
% 42.49/42.86 , clause( 67089, [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z )
% 42.49/42.86 , Z ) ] )
% 42.49/42.86 , clause( 67090, [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X,
% 42.49/42.86 Y, Z ) ), Y ) ] )
% 42.49/42.86 , clause( 67091, [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z
% 42.49/42.86 ) ), X ) ] )
% 42.49/42.86 , clause( 67092, [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 42.49/42.86 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 42.49/42.86 ), Y ) ), ~( =( second( T ), X ) ) ] )
% 42.49/42.86 , clause( 67093, [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'(
% 42.49/42.86 image( X, Y ) ) ] )
% 42.49/42.86 , clause( 67094, [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z
% 42.49/42.86 , Y ) ) ] )
% 42.49/42.86 , clause( 67095, [ disjoint( X, Y ), member( f23( X, Y ), X ) ] )
% 42.49/42.86 , clause( 67096, [ disjoint( X, Y ), member( f23( X, Y ), Y ) ] )
% 42.49/42.86 , clause( 67097, [ =( X, 'empty_set' ), member( f24( X ), X ) ] )
% 42.49/42.86 , clause( 67098, [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ] )
% 42.49/42.86 , clause( 67099, [ function( f25 ) ] )
% 42.49/42.86 , clause( 67100, [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26(
% 42.49/42.86 X ), X ) ] )
% 42.49/42.86 , clause( 67101, [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member(
% 42.49/42.86 'ordered_pair'( X, f26( X ) ), f25 ) ] )
% 42.49/42.86 , clause( 67102, [ ~( member( X, 'range_of'( Y ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( f27( X, Y ) ) ] )
% 42.49/42.86 , clause( 67103, [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ),
% 42.49/42.86 Y ) ] )
% 42.49/42.86 , clause( 67104, [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X
% 42.49/42.86 , Y ) ) ) ] )
% 42.49/42.86 , clause( 67105, [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ),
% 42.49/42.86 ~( 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second(
% 42.49/42.86 Z ) ) ) ] )
% 42.49/42.86 , clause( 67106, [ ~( member( X, 'identity_relation' ) ),
% 42.49/42.86 'ordered_pair_predicate'( X ) ] )
% 42.49/42.86 , clause( 67107, [ ~( member( X, 'identity_relation' ) ), =( first( X ),
% 42.49/42.86 second( X ) ) ] )
% 42.49/42.86 , clause( 67108, [ member( X, 'identity_relation' ), ~( 'little_set'( X ) )
% 42.49/42.86 , ~( 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67109, [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y
% 42.49/42.86 , 'universal_set' ) ) ) ] )
% 42.49/42.86 , clause( 67110, [ ~( 'one_to_one_function'( X ) ), function( X ) ] )
% 42.49/42.86 , clause( 67111, [ ~( 'one_to_one_function'( X ) ), function( converse( X )
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67112, [ 'one_to_one_function'( X ), ~( function( X ) ), ~(
% 42.49/42.86 function( converse( X ) ) ) ] )
% 42.49/42.86 , clause( 67113, [ ~( member( X, apply( Y, Z ) ) ),
% 42.49/42.86 'ordered_pair_predicate'( f28( X, Y, Z ) ) ] )
% 42.49/42.86 , clause( 67114, [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z )
% 42.49/42.86 , Y ) ] )
% 42.49/42.86 , clause( 67115, [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z
% 42.49/42.86 ) ), Z ) ] )
% 42.49/42.86 , clause( 67116, [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28(
% 42.49/42.86 X, Y, Z ) ) ) ] )
% 42.49/42.86 , clause( 67117, [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'(
% 42.49/42.86 T ) ), ~( member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second(
% 42.49/42.86 T ) ) ) ] )
% 42.49/42.86 , clause( 67118, [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X,
% 42.49/42.86 'ordered_pair'( Y, Z ) ) ) ] )
% 42.49/42.86 , clause( 67119, [ ~( maps( X, Y, Z ) ), function( X ) ] )
% 42.49/42.86 , clause( 67120, [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ] )
% 42.49/42.86 , clause( 67121, [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ] )
% 42.49/42.86 , clause( 67122, [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'(
% 42.49/42.86 X ), Y ) ), ~( subset( 'range_of'( X ), Z ) ) ] )
% 42.49/42.86 , clause( 67123, [ ~( closed( X, Y ) ), 'little_set'( X ) ] )
% 42.49/42.86 , clause( 67124, [ ~( closed( X, Y ) ), 'little_set'( Y ) ] )
% 42.49/42.86 , clause( 67125, [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X
% 42.49/42.86 ) ] )
% 42.49/42.86 , clause( 67126, [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 42.49/42.86 Y ) ), ~( maps( Y, 'cross_product'( X, X ), X ) ) ] )
% 42.49/42.86 , clause( 67127, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X
% 42.49/42.86 , Y, Z ) ) ] )
% 42.49/42.86 , clause( 67128, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X
% 42.49/42.86 , Y, Z ) ) ] )
% 42.49/42.86 , clause( 67129, [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X
% 42.49/42.86 , Y, Z ) ) ] )
% 42.49/42.86 , clause( 67130, [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'(
% 42.49/42.86 f29( X, Y, Z ), f30( X, Y, Z ) ) ) ] )
% 42.49/42.86 , clause( 67131, [ ~( member( X, compose( Y, Z ) ) ), member(
% 42.49/42.86 'ordered_pair'( f29( X, Y, Z ), f31( X, Y, Z ) ), Y ) ] )
% 42.49/42.86 , clause( 67132, [ ~( member( X, compose( Y, Z ) ) ), member(
% 42.49/42.86 'ordered_pair'( f31( X, Y, Z ), f30( X, Y, Z ) ), Z ) ] )
% 42.49/42.86 , clause( 67133, [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ),
% 42.49/42.86 ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ),
% 42.49/42.86 ~( =( X, 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y
% 42.49/42.86 ) ), ~( member( 'ordered_pair'( W, U ), Z ) ) ] )
% 42.49/42.86 , clause( 67134, [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ] )
% 42.49/42.86 , clause( 67135, [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ] )
% 42.49/42.86 , clause( 67136, [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ] )
% 42.49/42.86 , clause( 67137, [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) )
% 42.49/42.86 , ~( member( V0, Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 )
% 42.49/42.86 ), 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ] )
% 42.49/42.86 , clause( 67138, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 42.49/42.86 closed( T, U ) ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67139, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 42.49/42.86 closed( T, U ) ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y )
% 42.49/42.86 ] )
% 42.49/42.86 , clause( 67140, [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~(
% 42.49/42.86 closed( T, U ) ), ~( maps( X, Y, T ) ), ~( =( apply( X,
% 42.49/42.86 'apply_to_two_arguments'( Z, f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) )
% 42.49/42.86 ), 'apply_to_two_arguments'( U, apply( X, f32( X, Y, Z, T, U ) ), apply(
% 42.49/42.86 X, f33( X, Y, Z, T, U ) ) ) ) ) ] )
% 42.49/42.86 , clause( 67141, [ =( complement( as ), bs ) ] )
% 42.49/42.86 , clause( 67142, [ =( complement( bs ), cs ) ] )
% 42.49/42.86 , clause( 67143, [ ~( =( as, cs ) ) ] )
% 42.49/42.86 ] ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 1, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 42.49/42.86 , clause( 67001, [ 'little_set'( f1( X, Y ) ), =( X, Y ) ] )
% 42.49/42.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.49/42.86 ), ==>( 1, 1 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 2, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ]
% 42.49/42.86 )
% 42.49/42.86 , clause( 67002, [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X,
% 42.49/42.86 Y ) ] )
% 42.49/42.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.49/42.86 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 3, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ),
% 42.49/42.86 =( X, Y ) ] )
% 42.49/42.86 , clause( 67003, [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y )
% 42.49/42.86 ), =( X, Y ) ] )
% 42.49/42.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.49/42.86 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 30, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ] )
% 42.49/42.86 , clause( 67030, [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ]
% 42.49/42.86 )
% 42.49/42.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.49/42.86 ), ==>( 1, 1 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 31, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member(
% 42.49/42.86 X, Y ) ] )
% 42.49/42.86 , clause( 67031, [ member( X, complement( Y ) ), ~( 'little_set'( X ) ),
% 42.49/42.86 member( X, Y ) ] )
% 42.49/42.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 42.49/42.86 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 141, [ =( complement( as ), bs ) ] )
% 42.49/42.86 , clause( 67141, [ =( complement( as ), bs ) ] )
% 42.49/42.86 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 42.49/42.86
% 42.49/42.86
% 42.49/42.86 subsumption(
% 42.49/42.86 clause( 142, [ =( complement( bs ), cs ) ] )
% 42.49/42.86 , clause( 67142, [ =( complement( bs ), cs ) ] )
% 42.49/42.86 , substitution( 0, [] ), peCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------