TSTP Solution File: SET013-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET013-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 22:45:17 EDT 2022
% Result : Timeout 300.08s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET013-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jul 11 09:23:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.17 *** allocated 10000 integers for termspace/termends
% 0.88/1.17 *** allocated 10000 integers for clauses
% 0.88/1.17 *** allocated 10000 integers for justifications
% 0.88/1.17 Bliksem 1.12
% 0.88/1.17
% 0.88/1.17
% 0.88/1.17 Automatic Strategy Selection
% 0.88/1.17
% 0.88/1.17 Clauses:
% 0.88/1.17 [
% 0.88/1.17 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 0.88/1.17 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 0.88/1.17 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 0.88/1.17 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 0.88/1.17 ],
% 0.88/1.17 [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 =( X, Y ) ) ],
% 0.88/1.17 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 =( X, Z ) ) ],
% 0.88/1.17 [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ],
% 0.88/1.17 [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ],
% 0.88/1.17 [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'( 'singleton_set'( X ),
% 0.88/1.17 'non_ordered_pair'( X, Y ) ) ) ],
% 0.88/1.17 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X ) ) ],
% 0.88/1.17 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X ) ) ],
% 0.88/1.17 [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'( f2( X ), f3(
% 0.88/1.17 X ) ) ) ],
% 0.88/1.17 [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.88/1.17 Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ],
% 0.88/1.17 [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) ) ],
% 0.88/1.17 [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) ) ],
% 0.88/1.17 [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4( X, Y ), f5( X
% 0.88/1.17 , Y ) ) ) ],
% 0.88/1.17 [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ],
% 0.88/1.17 [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.88/1.17 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z ) ) ],
% 0.88/1.17 [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y ) ) ],
% 0.88/1.17 [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y ) ) ],
% 0.88/1.17 [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6( X, Y ), f7( X
% 0.88/1.17 , Y ) ) ) ],
% 0.88/1.17 [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ],
% 0.88/1.17 [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.88/1.17 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T ) ) ],
% 0.88/1.17 [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ],
% 0.88/1.17 [ ~( member( X, estin ) ), member( first( X ), second( X ) ) ],
% 0.88/1.17 [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.88/1.17 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.88/1.17 [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ), ~( member( X,
% 0.88/1.17 Z ) ) ],
% 0.88/1.17 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.88/1.17 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ =( union( X, Y ), complement( intersection( complement( X ),
% 0.88/1.17 complement( Y ) ) ) ) ],
% 0.88/1.17 [ ~( member( X, 'domain_of'( Y ) ) ), 'ordered_pair_predicate'( f8( X, Y
% 0.88/1.17 ) ) ],
% 0.88/1.17 [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ), Y ) ],
% 0.88/1.17 [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X, Y ) ) ) ],
% 0.88/1.17 [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first( Z )
% 0.88/1.17 ) ) ],
% 0.88/1.17 [ ~( member( X, 'cross_product'( Y, Z ) ) ), 'ordered_pair_predicate'( X
% 0.88/1.17 ) ],
% 0.88/1.17 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first( X ), Y ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( second( X ), Z ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ), ~( member(
% 0.88/1.17 second( X ), Z ) ) ],
% 0.88/1.17 [ ~( member( X, converse( Y ) ) ), 'ordered_pair_predicate'( X ) ],
% 0.88/1.17 [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'( second( X ),
% 0.88/1.17 first( X ) ), Y ) ],
% 0.88/1.17 [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 0.88/1.17 first( X ) ), Y ) ) ],
% 0.88/1.17 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'rotate_right'( Y ) ) ), =( X, 'ordered_pair'( f9( X, Y
% 0.88/1.17 ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) ) ) ],
% 0.88/1.17 [ ~( member( X, 'rotate_right'( Y ) ) ), member( 'ordered_pair'( f10( X
% 0.88/1.17 , Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) ), Y ) ],
% 0.88/1.17 [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.88/1.17 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.88/1.17 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ],
% 0.88/1.17 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f12( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f13( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f14( X, Y ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X, 'ordered_pair'( f12( X,
% 0.88/1.17 Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) ) ) ],
% 0.88/1.17 [ ~( member( X, 'flip_range_of'( Y ) ) ), member( 'ordered_pair'( f12( X
% 0.88/1.17 , Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) ), Y ) ],
% 0.88/1.17 [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.88/1.17 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.88/1.17 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ],
% 0.88/1.17 [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ],
% 0.88/1.17 [ ~( member( X, 'empty_set' ) ) ],
% 0.88/1.17 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 0.88/1.17 [ 'little_set'( infinity ) ],
% 0.88/1.17 [ member( 'empty_set', infinity ) ],
% 0.88/1.17 [ ~( member( X, infinity ) ), member( successor( X ), infinity ) ],
% 0.88/1.17 [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ],
% 0.88/1.17 [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ],
% 0.88/1.17 [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member( X, Z ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ],
% 0.88/1.17 [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.88/1.17 [ subset( X, Y ), member( f17( X, Y ), X ) ],
% 0.88/1.17 [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ],
% 0.88/1.17 [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ],
% 0.88/1.17 [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ],
% 0.88/1.17 [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y ) ],
% 0.88/1.17 [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ],
% 0.88/1.17 [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~( subset( X, Y )
% 0.88/1.17 ) ],
% 0.88/1.17 [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ],
% 0.88/1.17 [ ~( relation( X ) ), ~( member( Y, X ) ), 'ordered_pair_predicate'( Y )
% 0.88/1.17 ],
% 0.88/1.17 [ relation( X ), member( f18( X ), X ) ],
% 0.88/1.17 [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) ) ],
% 0.88/1.17 [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.88/1.17 Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'( Y, Z ), X ) ),
% 0.88/1.17 ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f20( X ) )
% 0.88/1.17 , X ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f21( X ) )
% 0.88/1.17 , X ) ],
% 0.88/1.17 [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ],
% 0.88/1.17 [ ~( function( X ) ), relation( X ) ],
% 0.88/1.17 [ ~( function( X ) ), 'single_valued_set'( X ) ],
% 0.88/1.17 [ function( X ), ~( relation( X ) ), ~( 'single_valued_set'( X ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, image( Y, Z ) ) ), 'ordered_pair_predicate'( f22( X, Y,
% 0.88/1.17 Z ) ) ],
% 0.88/1.17 [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z ), Z ) ],
% 0.88/1.17 [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X, Y, Z ) ), Y )
% 0.88/1.17 ],
% 0.88/1.17 [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z ) ), X ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 0.88/1.17 ), Y ) ), ~( =( second( T ), X ) ) ],
% 0.88/1.17 [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'( image( X, Y
% 0.88/1.17 ) ) ],
% 0.88/1.17 [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z, Y ) ) ],
% 0.88/1.17 [ disjoint( X, Y ), member( f23( X, Y ), X ) ],
% 0.88/1.17 [ disjoint( X, Y ), member( f23( X, Y ), Y ) ],
% 0.88/1.17 [ =( X, 'empty_set' ), member( f24( X ), X ) ],
% 0.88/1.17 [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ],
% 0.88/1.17 [ function( f25 ) ],
% 0.88/1.17 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26( X ), X ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( 'ordered_pair'( X
% 0.88/1.17 , f26( X ) ), f25 ) ],
% 0.88/1.17 [ ~( member( X, 'range_of'( Y ) ) ), 'ordered_pair_predicate'( f27( X, Y
% 0.88/1.17 ) ) ],
% 0.88/1.17 [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ), Y ) ],
% 0.88/1.17 [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X, Y ) ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second( Z
% 0.88/1.17 ) ) ) ],
% 0.88/1.17 [ ~( member( X, 'identity_relation' ) ), 'ordered_pair_predicate'( X ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, 'identity_relation' ) ), =( first( X ), second( X ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ member( X, 'identity_relation' ), ~( 'little_set'( X ) ), ~(
% 0.88/1.17 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ],
% 0.88/1.17 [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y,
% 0.88/1.17 'universal_set' ) ) ) ],
% 0.88/1.17 [ ~( 'one_to_one_function'( X ) ), function( X ) ],
% 0.88/1.17 [ ~( 'one_to_one_function'( X ) ), function( converse( X ) ) ],
% 0.88/1.17 [ 'one_to_one_function'( X ), ~( function( X ) ), ~( function( converse(
% 0.88/1.17 X ) ) ) ],
% 0.88/1.17 [ ~( member( X, apply( Y, Z ) ) ), 'ordered_pair_predicate'( f28( X, Y,
% 0.88/1.17 Z ) ) ],
% 0.88/1.17 [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z ), Y ) ],
% 0.88/1.17 [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z ) ), Z ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28( X, Y, Z ) ) )
% 0.88/1.17 ],
% 0.88/1.17 [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'( T ) ), ~(
% 0.88/1.17 member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second( T ) ) )
% 0.88/1.17 ],
% 0.88/1.17 [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X, 'ordered_pair'( Y, Z
% 0.88/1.17 ) ) ) ],
% 0.88/1.17 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.88/1.17 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.88/1.17 [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ],
% 0.88/1.17 [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'( X ), Y ) ),
% 0.88/1.17 ~( subset( 'range_of'( X ), Z ) ) ],
% 0.88/1.17 [ ~( closed( X, Y ) ), 'little_set'( X ) ],
% 0.88/1.17 [ ~( closed( X, Y ) ), 'little_set'( Y ) ],
% 0.88/1.17 [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X ) ],
% 0.88/1.17 [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 0.88/1.17 maps( Y, 'cross_product'( X, X ), X ) ) ],
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X, Y, Z ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X, Y, Z ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X, Y, Z ) ) ]
% 0.88/1.17 ,
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'( f29( X, Y, Z
% 0.88/1.17 ), f30( X, Y, Z ) ) ) ],
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f29( X, Y,
% 0.88/1.17 Z ), f31( X, Y, Z ) ), Y ) ],
% 0.88/1.17 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f31( X, Y,
% 0.88/1.17 Z ), f30( X, Y, Z ) ), Z ) ],
% 0.88/1.17 [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 0.88/1.17 T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ), ~( =( X,
% 0.88/1.17 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y ) ), ~(
% 0.88/1.17 member( 'ordered_pair'( W, U ), Z ) ) ],
% 0.88/1.17 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ],
% 0.88/1.17 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ],
% 0.88/1.17 [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ],
% 0.88/1.17 [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) ), ~( member( V0
% 0.88/1.17 , Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 ) ),
% 0.88/1.17 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ],
% 0.88/1.17 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.88/1.17 ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y ) ],
% 0.88/1.17 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.88/1.17 ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y ) ],
% 0.88/1.17 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 12.21/12.51 ), ~( maps( X, Y, T ) ), ~( =( apply( X, 'apply_to_two_arguments'( Z,
% 12.21/12.51 f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) ) ), 'apply_to_two_arguments'(
% 12.21/12.51 U, apply( X, f32( X, Y, Z, T, U ) ), apply( X, f33( X, Y, Z, T, U ) ) ) )
% 12.21/12.51 ) ],
% 12.21/12.51 [ =( intersection( as, bs ), cs ) ],
% 12.21/12.51 [ =( intersection( bs, as ), ds ) ],
% 12.21/12.51 [ ~( =( cs, ds ) ) ]
% 12.21/12.51 ] .
% 12.21/12.51
% 12.21/12.51
% 12.21/12.51 percentage equality = 0.139665, percentage horn = 0.861111
% 12.21/12.51 This is a problem with some equality
% 12.21/12.51
% 12.21/12.51
% 12.21/12.51
% 12.21/12.51 Options Used:
% 12.21/12.51
% 12.21/12.51 useres = 1
% 12.21/12.51 useparamod = 1
% 12.21/12.51 useeqrefl = 1
% 12.21/12.51 useeqfact = 1
% 12.21/12.51 usefactor = 1
% 12.21/12.51 usesimpsplitting = 0
% 12.21/12.51 usesimpdemod = 5
% 12.21/12.51 usesimpres = 3
% 12.21/12.51
% 12.21/12.51 resimpinuse = 1000
% 12.21/12.51 resimpclauses = 20000
% 12.21/12.51 substype = eqrewr
% 12.21/12.51 backwardsubs = 1
% 12.21/12.51 selectoldest = 5
% 12.21/12.51
% 12.21/12.51 litorderings [0] = split
% 12.21/12.51 litorderings [1] = extend the termordering, first sorting on arguments
% 12.21/12.51
% 12.21/12.51 termordering = kbo
% 12.21/12.51
% 12.21/12.51 litapriori = 0
% 12.21/12.51 termapriori = 1
% 12.21/12.51 litaposteriori = 0
% 12.21/12.51 termaposteriori = 0
% 12.21/12.51 demodaposteriori = 0
% 12.21/12.51 ordereqreflfact = 0
% 12.21/12.51
% 12.21/12.51 litselect = negord
% 12.21/12.51
% 12.21/12.51 maxweight = 15
% 12.21/12.51 maxdepth = 30000
% 12.21/12.51 maxlength = 115
% 12.21/12.51 maxnrvars = 195
% 12.21/12.51 excuselevel = 1
% 12.21/12.51 increasemaxweight = 1
% 12.21/12.51
% 12.21/12.51 maxselected = 10000000
% 12.21/12.51 maxnrclauses = 10000000
% 12.21/12.51
% 12.21/12.51 showgenerated = 0
% 12.21/12.51 showkept = 0
% 12.21/12.51 showselected = 0
% 12.21/12.51 showdeleted = 0
% 12.21/12.51 showresimp = 1
% 12.21/12.51 showstatus = 2000
% 12.21/12.51
% 12.21/12.51 prologoutput = 1
% 12.21/12.51 nrgoals = 5000000
% 12.21/12.51 totalproof = 1
% 12.21/12.51
% 12.21/12.51 Symbols occurring in the translation:
% 12.21/12.51
% 12.21/12.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.21/12.51 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 12.21/12.51 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 12.21/12.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.21/12.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.21/12.51 member [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 12.21/12.51 'little_set' [42, 1] (w:1, o:39, a:1, s:1, b:0),
% 12.21/12.51 f1 [43, 2] (w:1, o:91, a:1, s:1, b:0),
% 12.21/12.51 'non_ordered_pair' [45, 2] (w:1, o:92, a:1, s:1, b:0),
% 12.21/12.51 'singleton_set' [46, 1] (w:1, o:43, a:1, s:1, b:0),
% 12.21/12.51 'ordered_pair' [47, 2] (w:1, o:93, a:1, s:1, b:0),
% 12.21/12.51 'ordered_pair_predicate' [48, 1] (w:1, o:44, a:1, s:1, b:0),
% 12.21/12.51 f2 [49, 1] (w:1, o:47, a:1, s:1, b:0),
% 12.21/12.51 f3 [50, 1] (w:1, o:52, a:1, s:1, b:0),
% 12.21/12.51 first [52, 1] (w:1, o:53, a:1, s:1, b:0),
% 12.21/12.51 f4 [53, 2] (w:1, o:94, a:1, s:1, b:0),
% 12.21/12.51 f5 [54, 2] (w:1, o:95, a:1, s:1, b:0),
% 12.21/12.51 second [56, 1] (w:1, o:54, a:1, s:1, b:0),
% 12.21/12.51 f6 [57, 2] (w:1, o:96, a:1, s:1, b:0),
% 12.21/12.51 f7 [58, 2] (w:1, o:97, a:1, s:1, b:0),
% 12.21/12.51 estin [59, 0] (w:1, o:25, a:1, s:1, b:0),
% 12.21/12.51 intersection [60, 2] (w:1, o:99, a:1, s:1, b:0),
% 12.21/12.51 complement [61, 1] (w:1, o:55, a:1, s:1, b:0),
% 12.21/12.51 union [62, 2] (w:1, o:100, a:1, s:1, b:0),
% 12.21/12.51 'domain_of' [63, 1] (w:1, o:57, a:1, s:1, b:0),
% 12.21/12.51 f8 [64, 2] (w:1, o:101, a:1, s:1, b:0),
% 12.21/12.51 'cross_product' [66, 2] (w:1, o:102, a:1, s:1, b:0),
% 12.21/12.51 converse [67, 1] (w:1, o:56, a:1, s:1, b:0),
% 12.21/12.51 'rotate_right' [68, 1] (w:1, o:40, a:1, s:1, b:0),
% 12.21/12.51 f9 [69, 2] (w:1, o:103, a:1, s:1, b:0),
% 12.21/12.51 f10 [70, 2] (w:1, o:104, a:1, s:1, b:0),
% 12.21/12.51 f11 [71, 2] (w:1, o:105, a:1, s:1, b:0),
% 12.21/12.51 'flip_range_of' [73, 1] (w:1, o:58, a:1, s:1, b:0),
% 12.21/12.51 f12 [74, 2] (w:1, o:106, a:1, s:1, b:0),
% 12.21/12.51 f13 [75, 2] (w:1, o:107, a:1, s:1, b:0),
% 12.21/12.51 f14 [76, 2] (w:1, o:108, a:1, s:1, b:0),
% 12.21/12.51 successor [77, 1] (w:1, o:59, a:1, s:1, b:0),
% 12.21/12.51 'empty_set' [78, 0] (w:1, o:26, a:1, s:1, b:0),
% 12.21/12.51 'universal_set' [79, 0] (w:1, o:27, a:1, s:1, b:0),
% 12.21/12.51 infinity [80, 0] (w:1, o:28, a:1, s:1, b:0),
% 12.21/12.51 sigma [81, 1] (w:1, o:60, a:1, s:1, b:0),
% 12.21/12.51 f16 [82, 2] (w:1, o:109, a:1, s:1, b:0),
% 12.21/12.51 subset [83, 2] (w:1, o:111, a:1, s:1, b:0),
% 12.21/12.51 f17 [84, 2] (w:1, o:112, a:1, s:1, b:0),
% 12.21/12.51 'proper_subset' [85, 2] (w:1, o:113, a:1, s:1, b:0),
% 12.21/12.51 powerset [86, 1] (w:1, o:62, a:1, s:1, b:0),
% 12.21/12.51 relation [87, 1] (w:1, o:41, a:1, s:1, b:0),
% 12.21/12.51 f18 [88, 1] (w:1, o:45, a:1, s:1, b:0),
% 12.21/12.51 'single_valued_set' [89, 1] (w:1, o:63, a:1, s:1, b:0),
% 12.21/12.51 f19 [90, 1] (w:1, o:46, a:1, s:1, b:0),
% 12.21/12.51 f20 [91, 1] (w:1, o:48, a:1, s:1, b:0),
% 108.51/108.87 f21 [92, 1] (w:1, o:49, a:1, s:1, b:0),
% 108.51/108.87 function [94, 1] (w:1, o:64, a:1, s:1, b:0),
% 108.51/108.87 image [95, 2] (w:1, o:98, a:1, s:1, b:0),
% 108.51/108.87 f22 [96, 3] (w:1, o:120, a:1, s:1, b:0),
% 108.51/108.87 disjoint [97, 2] (w:1, o:116, a:1, s:1, b:0),
% 108.51/108.87 f23 [98, 2] (w:1, o:117, a:1, s:1, b:0),
% 108.51/108.87 f24 [99, 1] (w:1, o:50, a:1, s:1, b:0),
% 108.51/108.87 f25 [100, 0] (w:1, o:29, a:1, s:1, b:0),
% 108.51/108.87 f26 [101, 1] (w:1, o:51, a:1, s:1, b:0),
% 108.51/108.87 'range_of' [102, 1] (w:1, o:42, a:1, s:1, b:0),
% 108.51/108.87 f27 [103, 2] (w:1, o:118, a:1, s:1, b:0),
% 108.51/108.87 'identity_relation' [104, 0] (w:1, o:30, a:1, s:1, b:0),
% 108.51/108.87 restrict [105, 2] (w:1, o:110, a:1, s:1, b:0),
% 108.51/108.87 'one_to_one_function' [106, 1] (w:1, o:61, a:1, s:1, b:0),
% 108.51/108.87 apply [107, 2] (w:1, o:119, a:1, s:1, b:0),
% 108.51/108.87 f28 [108, 3] (w:1, o:121, a:1, s:1, b:0),
% 108.51/108.87 'apply_to_two_arguments' [109, 3] (w:1, o:122, a:1, s:1, b:0),
% 108.51/108.87 maps [110, 3] (w:1, o:123, a:1, s:1, b:0),
% 108.51/108.87 closed [112, 2] (w:1, o:114, a:1, s:1, b:0),
% 108.51/108.87 compose [114, 2] (w:1, o:115, a:1, s:1, b:0),
% 108.51/108.87 f29 [115, 3] (w:1, o:124, a:1, s:1, b:0),
% 108.51/108.87 f30 [116, 3] (w:1, o:125, a:1, s:1, b:0),
% 108.51/108.87 f31 [117, 3] (w:1, o:126, a:1, s:1, b:0),
% 108.51/108.87 homomorphism [123, 5] (w:1, o:127, a:1, s:1, b:0),
% 108.51/108.87 f32 [124, 5] (w:1, o:128, a:1, s:1, b:0),
% 108.51/108.87 f33 [125, 5] (w:1, o:129, a:1, s:1, b:0),
% 108.51/108.87 as [126, 0] (w:1, o:31, a:1, s:1, b:0),
% 108.51/108.87 bs [127, 0] (w:1, o:32, a:1, s:1, b:0),
% 108.51/108.87 cs [128, 0] (w:1, o:33, a:1, s:1, b:0),
% 108.51/108.87 ds [129, 0] (w:1, o:24, a:1, s:1, b:0).
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Starting Search:
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 3740
% 108.51/108.87 Kept: 2111
% 108.51/108.87 Inuse: 91
% 108.51/108.87 Deleted: 0
% 108.51/108.87 Deletedinuse: 0
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 7249
% 108.51/108.87 Kept: 4173
% 108.51/108.87 Inuse: 149
% 108.51/108.87 Deleted: 2
% 108.51/108.87 Deletedinuse: 0
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 10716
% 108.51/108.87 Kept: 6203
% 108.51/108.87 Inuse: 214
% 108.51/108.87 Deleted: 16
% 108.51/108.87 Deletedinuse: 0
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 16344
% 108.51/108.87 Kept: 8204
% 108.51/108.87 Inuse: 258
% 108.51/108.87 Deleted: 18
% 108.51/108.87 Deletedinuse: 0
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 20431
% 108.51/108.87 Kept: 11161
% 108.51/108.87 Inuse: 298
% 108.51/108.87 Deleted: 18
% 108.51/108.87 Deletedinuse: 0
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 25825
% 108.51/108.87 Kept: 13191
% 108.51/108.87 Inuse: 350
% 108.51/108.87 Deleted: 22
% 108.51/108.87 Deletedinuse: 1
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 32288
% 108.51/108.87 Kept: 15586
% 108.51/108.87 Inuse: 386
% 108.51/108.87 Deleted: 31
% 108.51/108.87 Deletedinuse: 1
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 38154
% 108.51/108.87 Kept: 18133
% 108.51/108.87 Inuse: 419
% 108.51/108.87 Deleted: 182
% 108.51/108.87 Deletedinuse: 105
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying clauses:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 47123
% 108.51/108.87 Kept: 20172
% 108.51/108.87 Inuse: 467
% 108.51/108.87 Deleted: 3910
% 108.51/108.87 Deletedinuse: 105
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 52632
% 108.51/108.87 Kept: 22741
% 108.51/108.87 Inuse: 498
% 108.51/108.87 Deleted: 3919
% 108.51/108.87 Deletedinuse: 114
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 58673
% 108.51/108.87 Kept: 24814
% 108.51/108.87 Inuse: 508
% 108.51/108.87 Deleted: 3923
% 108.51/108.87 Deletedinuse: 118
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 64150
% 108.51/108.87 Kept: 26832
% 108.51/108.87 Inuse: 545
% 108.51/108.87 Deleted: 3923
% 108.51/108.87 Deletedinuse: 118
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 70633
% 108.51/108.87 Kept: 28852
% 108.51/108.87 Inuse: 583
% 108.51/108.87 Deleted: 3926
% 108.51/108.87 Deletedinuse: 118
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 80051
% 108.51/108.87 Kept: 30860
% 108.51/108.87 Inuse: 621
% 108.51/108.87 Deleted: 3927
% 108.51/108.87 Deletedinuse: 119
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87 Resimplifying inuse:
% 108.51/108.87 Done
% 108.51/108.87
% 108.51/108.87
% 108.51/108.87 Intermediate Status:
% 108.51/108.87 Generated: 90517
% 108.51/108.87 Kept: 32875
% 108.51/108.87 Inuse: 663
% 108.51/108.87 Deleted: 3927
% 108.51/108.87 DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------