TSTP Solution File: NUM008-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM008-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 06:19:12 EDT 2022
% Result : Timeout 300.04s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM008-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Fri Jul 8 02:42:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 0.72/1.12 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 0.72/1.12 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 0.72/1.12 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 0.72/1.12 ],
% 0.72/1.12 [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 =( X, Y ) ) ],
% 0.72/1.12 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 =( X, Z ) ) ],
% 0.72/1.12 [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ],
% 0.72/1.12 [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ],
% 0.72/1.12 [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'( 'singleton_set'( X ),
% 0.72/1.12 'non_ordered_pair'( X, Y ) ) ) ],
% 0.72/1.12 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X ) ) ],
% 0.72/1.12 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X ) ) ],
% 0.72/1.12 [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'( f2( X ), f3(
% 0.72/1.12 X ) ) ) ],
% 0.72/1.12 [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.72/1.12 Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ],
% 0.72/1.12 [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) ) ],
% 0.72/1.12 [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) ) ],
% 0.72/1.12 [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4( X, Y ), f5( X
% 0.72/1.12 , Y ) ) ) ],
% 0.72/1.12 [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ],
% 0.72/1.12 [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.72/1.12 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z ) ) ],
% 0.72/1.12 [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y ) ) ],
% 0.72/1.12 [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y ) ) ],
% 0.72/1.12 [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6( X, Y ), f7( X
% 0.72/1.12 , Y ) ) ) ],
% 0.72/1.12 [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ],
% 0.72/1.12 [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.72/1.12 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T ) ) ],
% 0.72/1.12 [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ],
% 0.72/1.12 [ ~( member( X, estin ) ), member( first( X ), second( X ) ) ],
% 0.72/1.12 [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.72/1.12 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.72/1.12 [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ), ~( member( X,
% 0.72/1.12 Z ) ) ],
% 0.72/1.12 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.72/1.12 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ =( union( X, Y ), complement( intersection( complement( X ),
% 0.72/1.12 complement( Y ) ) ) ) ],
% 0.72/1.12 [ ~( member( X, 'domain_of'( Y ) ) ), 'ordered_pair_predicate'( f8( X, Y
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ), Y ) ],
% 0.72/1.12 [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X, Y ) ) ) ],
% 0.72/1.12 [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first( Z )
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), 'ordered_pair_predicate'( X
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first( X ), Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( second( X ), Z ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ), ~( member(
% 0.72/1.12 second( X ), Z ) ) ],
% 0.72/1.12 [ ~( member( X, converse( Y ) ) ), 'ordered_pair_predicate'( X ) ],
% 0.72/1.12 [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'( second( X ),
% 0.72/1.12 first( X ) ), Y ) ],
% 0.72/1.12 [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 0.72/1.12 first( X ) ), Y ) ) ],
% 0.72/1.12 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'rotate_right'( Y ) ) ), =( X, 'ordered_pair'( f9( X, Y
% 0.72/1.12 ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) ) ) ],
% 0.72/1.12 [ ~( member( X, 'rotate_right'( Y ) ) ), member( 'ordered_pair'( f10( X
% 0.72/1.12 , Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) ), Y ) ],
% 0.72/1.12 [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.72/1.12 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.72/1.12 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ],
% 0.72/1.12 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f12( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f13( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f14( X, Y ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X, 'ordered_pair'( f12( X,
% 0.72/1.12 Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) ) ) ],
% 0.72/1.12 [ ~( member( X, 'flip_range_of'( Y ) ) ), member( 'ordered_pair'( f12( X
% 0.72/1.12 , Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) ), Y ) ],
% 0.72/1.12 [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.72/1.12 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.72/1.12 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ],
% 0.72/1.12 [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ],
% 0.72/1.12 [ ~( member( X, 'empty_set' ) ) ],
% 0.72/1.12 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 0.72/1.12 [ 'little_set'( infinity ) ],
% 0.72/1.12 [ member( 'empty_set', infinity ) ],
% 0.72/1.12 [ ~( member( X, infinity ) ), member( successor( X ), infinity ) ],
% 0.72/1.12 [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ],
% 0.72/1.12 [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ],
% 0.72/1.12 [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member( X, Z ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ],
% 0.72/1.12 [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.72/1.12 [ subset( X, Y ), member( f17( X, Y ), X ) ],
% 0.72/1.12 [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ],
% 0.72/1.12 [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ],
% 0.72/1.12 [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ],
% 0.72/1.12 [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y ) ],
% 0.72/1.12 [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ],
% 0.72/1.12 [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~( subset( X, Y )
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ],
% 0.72/1.12 [ ~( relation( X ) ), ~( member( Y, X ) ), 'ordered_pair_predicate'( Y )
% 0.72/1.12 ],
% 0.72/1.12 [ relation( X ), member( f18( X ), X ) ],
% 0.72/1.12 [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) ) ],
% 0.72/1.12 [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.72/1.12 Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'( Y, Z ), X ) ),
% 0.72/1.12 ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f20( X ) )
% 0.72/1.12 , X ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f21( X ) )
% 0.72/1.12 , X ) ],
% 0.72/1.12 [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ],
% 0.72/1.12 [ ~( function( X ) ), relation( X ) ],
% 0.72/1.12 [ ~( function( X ) ), 'single_valued_set'( X ) ],
% 0.72/1.12 [ function( X ), ~( relation( X ) ), ~( 'single_valued_set'( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, image( Y, Z ) ) ), 'ordered_pair_predicate'( f22( X, Y,
% 0.72/1.12 Z ) ) ],
% 0.72/1.12 [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z ), Z ) ],
% 0.72/1.12 [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X, Y, Z ) ), Y )
% 0.72/1.12 ],
% 0.72/1.12 [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z ) ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 0.72/1.12 ), Y ) ), ~( =( second( T ), X ) ) ],
% 0.72/1.12 [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'( image( X, Y
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z, Y ) ) ],
% 0.72/1.12 [ disjoint( X, Y ), member( f23( X, Y ), X ) ],
% 0.72/1.12 [ disjoint( X, Y ), member( f23( X, Y ), Y ) ],
% 0.72/1.12 [ =( X, 'empty_set' ), member( f24( X ), X ) ],
% 0.72/1.12 [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ],
% 0.72/1.12 [ function( f25 ) ],
% 0.72/1.12 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26( X ), X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( 'ordered_pair'( X
% 0.72/1.12 , f26( X ) ), f25 ) ],
% 0.72/1.12 [ ~( member( X, 'range_of'( Y ) ) ), 'ordered_pair_predicate'( f27( X, Y
% 0.72/1.12 ) ) ],
% 0.72/1.12 [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ), Y ) ],
% 0.72/1.12 [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X, Y ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second( Z
% 0.72/1.12 ) ) ) ],
% 0.72/1.12 [ ~( member( X, 'identity_relation' ) ), 'ordered_pair_predicate'( X ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'identity_relation' ) ), =( first( X ), second( X ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ member( X, 'identity_relation' ), ~( 'little_set'( X ) ), ~(
% 0.72/1.12 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ],
% 0.72/1.12 [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y,
% 0.72/1.12 'universal_set' ) ) ) ],
% 0.72/1.12 [ ~( 'one_to_one_function'( X ) ), function( X ) ],
% 0.72/1.12 [ ~( 'one_to_one_function'( X ) ), function( converse( X ) ) ],
% 0.72/1.12 [ 'one_to_one_function'( X ), ~( function( X ) ), ~( function( converse(
% 0.72/1.12 X ) ) ) ],
% 0.72/1.12 [ ~( member( X, apply( Y, Z ) ) ), 'ordered_pair_predicate'( f28( X, Y,
% 0.72/1.12 Z ) ) ],
% 0.72/1.12 [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z ), Y ) ],
% 0.72/1.12 [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z ) ), Z ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28( X, Y, Z ) ) )
% 0.72/1.12 ],
% 0.72/1.12 [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'( T ) ), ~(
% 0.72/1.12 member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second( T ) ) )
% 0.72/1.12 ],
% 0.72/1.12 [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X, 'ordered_pair'( Y, Z
% 0.72/1.12 ) ) ) ],
% 0.72/1.12 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.72/1.12 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.72/1.12 [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ],
% 0.72/1.12 [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'( X ), Y ) ),
% 0.72/1.12 ~( subset( 'range_of'( X ), Z ) ) ],
% 0.72/1.12 [ ~( closed( X, Y ) ), 'little_set'( X ) ],
% 0.72/1.12 [ ~( closed( X, Y ) ), 'little_set'( Y ) ],
% 0.72/1.12 [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X ) ],
% 0.72/1.12 [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 0.72/1.12 maps( Y, 'cross_product'( X, X ), X ) ) ],
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X, Y, Z ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X, Y, Z ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X, Y, Z ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'( f29( X, Y, Z
% 0.72/1.12 ), f30( X, Y, Z ) ) ) ],
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f29( X, Y,
% 0.72/1.12 Z ), f31( X, Y, Z ) ), Y ) ],
% 0.72/1.12 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f31( X, Y,
% 0.72/1.12 Z ), f30( X, Y, Z ) ), Z ) ],
% 0.72/1.12 [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 0.72/1.12 T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ), ~( =( X,
% 0.72/1.12 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y ) ), ~(
% 0.72/1.12 member( 'ordered_pair'( W, U ), Z ) ) ],
% 0.72/1.12 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ],
% 0.72/1.12 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ],
% 0.72/1.12 [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ],
% 0.72/1.12 [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) ), ~( member( V0
% 0.72/1.12 , Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 ) ),
% 0.72/1.12 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ],
% 0.72/1.12 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.72/1.12 ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y ) ],
% 0.72/1.12 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.72/1.12 ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y ) ],
% 0.72/1.12 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.72/1.12 ), ~( maps( X, Y, T ) ), ~( =( apply( X, 'apply_to_two_arguments'( Z,
% 0.72/1.12 f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) ) ), 'apply_to_two_arguments'(
% 0.72/1.12 U, apply( X, f32( X, Y, Z, T, U ) ), apply( X, f33( X, Y, Z, T, U ) ) ) )
% 0.72/1.12 ) ],
% 0.72/1.12 [ ~( associative( X, Y ) ), ~( member( Z, X ) ), ~( member( T, X ) ),
% 0.72/1.12 ~( member( U, X ) ), =( 'apply_to_two_arguments'( Y,
% 0.72/1.12 'apply_to_two_arguments'( Y, Z, T ), U ), 'apply_to_two_arguments'( Y, Z
% 0.72/1.12 , 'apply_to_two_arguments'( Y, T, U ) ) ) ],
% 0.72/1.12 [ associative( X, Y ), member( f34( X, Y ), X ) ],
% 0.72/1.12 [ associative( X, Y ), member( f35( X, Y ), X ) ],
% 0.72/1.12 [ associative( X, Y ), member( f36( X, Y ), X ) ],
% 0.72/1.12 [ associative( X, Y ), ~( =( 'apply_to_two_arguments'( Y,
% 0.72/1.12 'apply_to_two_arguments'( Y, f34( X, Y ), f35( X, Y ) ), f36( X, Y ) ),
% 0.72/1.12 'apply_to_two_arguments'( Y, f34( X, Y ), 'apply_to_two_arguments'( Y,
% 0.72/1.12 f35( X, Y ), f36( X, Y ) ) ) ) ) ],
% 0.72/1.12 [ ~( identity( X, Y, Z ) ), member( Z, X ) ],
% 0.72/1.12 [ ~( identity( X, Y, Z ) ), ~( member( T, X ) ), =(
% 0.72/1.12 'apply_to_two_arguments'( Y, Z, T ), T ) ],
% 0.72/1.12 [ ~( identity( X, Y, Z ) ), ~( member( T, X ) ), =(
% 0.72/1.12 'apply_to_two_arguments'( Y, T, Z ), T ) ],
% 0.72/1.12 [ identity( X, Y, Z ), ~( member( Z, X ) ), member( f37( X, Y, Z ), X )
% 0.72/1.12 ],
% 0.72/1.12 [ identity( X, Y, Z ), ~( member( Z, X ) ), ~( =(
% 0.72/1.12 'apply_to_two_arguments'( Y, Z, f37( X, Y, Z ) ), f37( X, Y, Z ) ) ), ~(
% 0.72/1.12 =( 'apply_to_two_arguments'( Y, f37( X, Y, Z ), Z ), f37( X, Y, Z ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( inverse( X, Y, Z, T ) ), maps( T, X, X ) ],
% 0.72/1.12 [ ~( inverse( X, Y, Z, T ) ), ~( member( U, X ) ), =(
% 0.72/1.12 'apply_to_two_arguments'( Y, apply( T, U ), U ), Z ) ],
% 0.72/1.12 [ ~( inverse( X, Y, Z, T ) ), ~( member( U, X ) ), =(
% 0.72/1.12 'apply_to_two_arguments'( Y, U, apply( T, U ) ), Z ) ],
% 0.72/1.12 [ inverse( X, Y, Z, T ), ~( maps( T, X, X ) ), member( f38( X, Y, Z, T )
% 0.72/1.12 , X ) ],
% 0.72/1.12 [ inverse( X, Y, Z, T ), ~( maps( T, X, X ) ), ~( =(
% 0.72/1.12 'apply_to_two_arguments'( Y, apply( T, f38( X, Y, Z, T ) ), f38( X, Y, Z
% 0.72/1.12 , T ) ), Z ) ), ~( =( 'apply_to_two_arguments'( Y, f38( X, Y, Z, T ),
% 0.72/1.12 apply( T, f38( X, Y, Z, T ) ) ), Z ) ) ],
% 0.72/1.12 [ ~( group( X, Y ) ), closed( X, Y ) ],
% 0.72/1.12 [ ~( group( X, Y ) ), associative( X, Y ) ],
% 0.72/1.12 [ ~( group( X, Y ) ), identity( X, Y, f39( X, Y ) ) ],
% 0.72/1.12 [ ~( group( X, Y ) ), inverse( X, Y, f39( X, Y ), f40( X, Y ) ) ],
% 0.72/1.12 [ group( X, Y ), ~( closed( X, Y ) ), ~( associative( X, Y ) ), ~(
% 0.72/1.12 identity( X, Y, Z ) ), ~( inverse( X, Y, Z, T ) ) ],
% 0.72/1.12 [ ~( commutes( X, Y ) ), ~( member( Z, X ) ), ~( member( T, X ) ), =(
% 0.72/1.12 'apply_to_two_arguments'( Y, Z, T ), 'apply_to_two_arguments'( Y, T, Z )
% 0.72/1.12 ) ],
% 0.72/1.12 [ commutes( X, Y ), member( f41( X, Y ), X ) ],
% 0.72/1.12 [ commutes( X, Y ), member( f42( X, Y ), X ) ],
% 0.72/1.12 [ commutes( X, Y ), ~( =( 'apply_to_two_arguments'( Y, f41( X, Y ), f42(
% 0.72/1.12 X, Y ) ), 'apply_to_two_arguments'( Y, f42( X, Y ), f41( X, Y ) ) ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( member( X, 'natural_numbers' ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.12 'empty_set', Y ) ), member( f43( X, Y ), Y ), member( X, Y ) ],
% 0.72/1.12 [ ~( member( X, 'natural_numbers' ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.12 'empty_set', Y ) ), ~( member( successor( f43( X, Y ) ), Y ) ), member( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ member( X, 'natural_numbers' ), ~( 'little_set'( X ) ), 'little_set'(
% 0.72/1.12 f44( X ) ) ],
% 0.72/1.12 [ member( X, 'natural_numbers' ), ~( 'little_set'( X ) ), member(
% 0.72/1.12 'empty_set', f44( X ) ) ],
% 0.72/1.12 [ member( X, 'natural_numbers' ), ~( 'little_set'( X ) ), ~( member( Y,
% 0.72/1.12 f44( X ) ) ), member( successor( Y ), f44( X ) ) ],
% 0.72/1.12 [ member( X, 'natural_numbers' ), ~( member( X, f44( X ) ) ) ],
% 0.72/1.12 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), member( f45( X, Y ),
% 0.72/1.12 'natural_numbers' ), member( f46( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), member( f45( X, Y ),
% 0.72/1.12 'natural_numbers' ), member( f47( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), member( f45( X, Y ),
% 0.72/1.12 'natural_numbers' ), member( f48( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.12 , Y ) ],
% 0.72/1.12 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), member( f45( X, Y ),
% 0.72/1.12 'natural_numbers' ), member( 'ordered_pair'( 'ordered_pair'( f46( X, Y )
% 0.72/1.13 , f47( X, Y ) ), f48( X, Y ) ), Y ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), member( f45( X, Y ),
% 0.72/1.13 'natural_numbers' ), ~( member( 'ordered_pair'( 'ordered_pair'( successor(
% 0.72/1.13 f46( X, Y ) ), f47( X, Y ) ), successor( f48( X, Y ) ) ), Y ) ), member(
% 0.72/1.13 X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f45( X, Y ) ), f45( X, Y ) )
% 0.72/1.13 , Y ) ), member( f46( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f45( X, Y ) ), f45( X, Y ) )
% 0.72/1.13 , Y ) ), member( f47( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f45( X, Y ) ), f45( X, Y ) )
% 0.72/1.13 , Y ) ), member( f48( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f45( X, Y ) ), f45( X, Y ) )
% 0.72/1.13 , Y ) ), member( 'ordered_pair'( 'ordered_pair'( f46( X, Y ), f47( X, Y )
% 0.72/1.13 ), f48( X, Y ) ), Y ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, plus ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f45( X, Y ) ), f45( X, Y ) )
% 0.72/1.13 , Y ) ), ~( member( 'ordered_pair'( 'ordered_pair'( successor( f46( X, Y
% 0.72/1.13 ) ), f47( X, Y ) ), successor( f48( X, Y ) ) ), Y ) ), member( X, Y ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ member( X, plus ), ~( 'little_set'( X ) ), 'little_set'( f49( X ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ member( X, plus ), ~( 'little_set'( X ) ), ~( member( Y,
% 0.72/1.13 'natural_numbers' ) ), member( 'ordered_pair'( 'ordered_pair'(
% 0.72/1.13 'empty_set', Y ), Y ), f49( X ) ) ],
% 0.72/1.13 [ member( X, plus ), ~( 'little_set'( X ) ), ~( member( Y,
% 0.72/1.13 'natural_numbers' ) ), ~( member( Z, 'natural_numbers' ) ), ~( member( T
% 0.72/1.13 , 'natural_numbers' ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, Z
% 0.72/1.13 ), T ), f49( X ) ) ), member( 'ordered_pair'( 'ordered_pair'( successor(
% 0.72/1.13 Y ), Z ), successor( T ) ), f49( X ) ) ],
% 0.72/1.13 [ member( X, plus ), ~( member( X, f49( X ) ) ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), member( f50( X, Y ),
% 0.72/1.13 'natural_numbers' ), member( f51( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.13 , Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), member( f50( X, Y ),
% 0.72/1.13 'natural_numbers' ), member( f52( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.13 , Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), member( f50( X, Y ),
% 0.72/1.13 'natural_numbers' ), member( f53( X, Y ), 'natural_numbers' ), member( X
% 0.72/1.13 , Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), member( f50( X, Y ),
% 0.72/1.13 'natural_numbers' ), member( 'ordered_pair'( 'ordered_pair'( f51( X, Y )
% 0.72/1.13 , f52( X, Y ) ), f53( X, Y ) ), Y ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), member( f50( X, Y ),
% 0.72/1.13 'natural_numbers' ), ~( member( 'ordered_pair'( 'ordered_pair'( successor(
% 0.72/1.13 f51( X, Y ) ), f52( X, Y ) ), 'apply_to_two_arguments'( plus, f53( X, Y )
% 0.72/1.13 , f52( X, Y ) ) ), Y ) ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f50( X, Y ) ), 'empty_set' )
% 0.72/1.13 , Y ) ), member( f51( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f50( X, Y ) ), 'empty_set' )
% 0.72/1.13 , Y ) ), member( f52( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f50( X, Y ) ), 'empty_set' )
% 0.72/1.13 , Y ) ), member( f53( X, Y ), 'natural_numbers' ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f50( X, Y ) ), 'empty_set' )
% 0.72/1.13 , Y ) ), member( 'ordered_pair'( 'ordered_pair'( f51( X, Y ), f52( X, Y )
% 0.72/1.13 ), f53( X, Y ) ), Y ), member( X, Y ) ],
% 0.72/1.13 [ ~( member( X, times ) ), ~( 'little_set'( Y ) ), ~( member(
% 0.72/1.13 'ordered_pair'( 'ordered_pair'( 'empty_set', f50( X, Y ) ), 'empty_set' )
% 0.72/1.13 , Y ) ), ~( member( 'ordered_pair'( 'ordered_pair'( successor( f51( X, Y
% 0.72/1.13 ) ), f52( X, Y ) ), 'apply_to_two_arguments'( plus, f53( X, Y ), f52( X
% 0.72/1.13 , Y ) ) ), Y ) ), member( X, Y ) ],
% 0.72/1.13 [ member( X, times ), ~( 'little_set'( X ) ), 'little_set'( f54( X ) ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ member( X, times ), ~( 'little_set'( X ) ), ~( member( Y,
% 0.72/1.13 'natural_numbers' ) ), member( 'ordered_pair'( 'ordered_pair'(
% 0.72/1.13 'empty_set', Y ), 'empty_set' ), f54( X ) ) ],
% 0.72/1.13 [ member( X, times ), ~( 'little_set'( X ) ), ~( member( Y,
% 0.72/1.13 'natural_numbers' ) ), ~( member( Z, 'natural_numbers' ) ), ~( member( T
% 0.72/1.13 , 'natural_numbers' ) ), ~( member( 'ordered_pair'( 'ordered_pair'( Y, Z
% 0.72/1.13 ), T ), f54( X ) ) ), member( 'ordered_pair'( 'ordered_pair'( successor(
% 0.72/1.13 Y ), Z ), 'apply_to_two_arguments'( plus, T, Z ) ), f54( X ) ) ],
% 0.72/1.13 [ member( X, times ), ~( member( X, f54( X ) ) ) ],
% 0.72/1.13 [ ~( member( X, 'prime_numbers' ) ), member( X, 'natural_numbers' ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ ~( member( X, 'prime_numbers' ) ), ~( =( X, 'empty_set' ) ) ],
% 0.72/1.13 [ ~( member( X, 'prime_numbers' ) ), ~( =( X, successor( 'empty_set' ) )
% 0.72/1.13 ) ],
% 0.72/1.13 [ ~( member( X, 'prime_numbers' ) ), ~( member( Y, 'natural_numbers' ) )
% 0.72/1.13 , ~( member( Z, 'natural_numbers' ) ), ~( =( 'apply_to_two_arguments'(
% 0.72/1.13 times, Y, Z ), X ) ), member( Y, 'non_ordered_pair'( successor(
% 0.72/1.13 'empty_set' ), X ) ) ],
% 0.72/1.13 [ member( X, 'prime_numbers' ), ~( member( X, 'natural_numbers' ) ), =(
% 0.72/1.13 X, 'empty_set' ), =( X, successor( 'empty_set' ) ), member( f55( X ),
% 0.72/1.13 'natural_numbers' ) ],
% 0.72/1.13 [ member( X, 'prime_numbers' ), ~( member( X, 'natural_numbers' ) ), =(
% 0.72/1.13 X, 'empty_set' ), =( X, successor( 'empty_set' ) ), member( f56( X ),
% 0.72/1.13 'natural_numbers' ) ],
% 0.72/1.13 [ member( X, 'prime_numbers' ), ~( member( X, 'natural_numbers' ) ), =(
% 0.72/1.13 X, 'empty_set' ), =( X, successor( 'empty_set' ) ), =(
% 0.72/1.13 'apply_to_two_arguments'( times, f55( X ), f56( X ) ), X ) ],
% 0.72/1.13 [ member( X, 'prime_numbers' ), ~( member( X, 'natural_numbers' ) ), =(
% 0.72/1.13 X, 'empty_set' ), =( X, successor( 'empty_set' ) ), ~( member( f55( X ),
% 0.72/1.13 'non_ordered_pair'( successor( 'empty_set' ), X ) ) ) ],
% 0.72/1.13 [ ~( finite( X ) ), member( f57( X ), 'natural_numbers' ) ],
% 0.72/1.13 [ ~( finite( X ) ), maps( f58( X ), f57( X ), X ) ],
% 0.72/1.13 [ ~( finite( X ) ), =( 'range_of'( f58( X ) ), X ) ],
% 0.72/1.13 [ ~( finite( X ) ), 'one_to_one_function'( f58( X ) ) ],
% 0.72/1.13 [ finite( X ), ~( member( Y, 'natural_numbers' ) ), ~( maps( Z, Y, X ) )
% 0.72/1.13 , ~( =( 'range_of'( Z ), X ) ), ~( 'one_to_one_function'( Z ) ) ],
% 0.72/1.13 [ ~( member( X, 'twin_prime_numbers' ) ), member( X, 'prime_numbers' ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ ~( member( X, 'twin_prime_numbers' ) ), member( successor( successor(
% 0.72/1.13 X ) ), 'prime_numbers' ) ],
% 0.72/1.13 [ member( X, 'twin_prime_numbers' ), ~( member( X, 'prime_numbers' ) ),
% 0.72/1.13 ~( member( successor( successor( X ) ), 'prime_numbers' ) ) ],
% 0.72/1.13 [ ~( member( X, 'even_numbers' ) ), member( X, 'natural_numbers' ) ]
% 0.72/1.13 ,
% 0.72/1.13 [ ~( member( X, 'even_numbers' ) ), member( f59( X ), 'natural_numbers'
% 0.72/1.13 ) ],
% 0.72/1.13 [ ~( member( X, 'even_numbers' ) ), =( 'apply_to_two_arguments'( plus,
% 0.72/1.13 f59( X ), f59( X ) ), X ) ],
% 0.72/1.13 [ member( X, 'even_numbers' ), ~( member( X, 'natural_numbers' ) ), ~(
% 0.72/1.13 member( Y, 'natural_numbers' ) ), ~( =( 'apply_to_two_arguments'( plus, Y
% 0.72/1.13 , Y ), X ) ) ],
% 0.72/1.13 [ ~( 'little_set'( 'natural_numbers' ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.117739, percentage horn = 0.731818
% 0.72/1.13 This is a problem with some equality
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 3.95/4.32 maxdepth = 30000
% 3.95/4.32 maxlength = 115
% 3.95/4.32 maxnrvars = 195
% 3.95/4.32 excuselevel = 1
% 3.95/4.32 increasemaxweight = 1
% 3.95/4.32
% 3.95/4.32 maxselected = 10000000
% 3.95/4.32 maxnrclauses = 10000000
% 3.95/4.32
% 3.95/4.32 showgenerated = 0
% 3.95/4.32 showkept = 0
% 3.95/4.32 showselected = 0
% 3.95/4.32 showdeleted = 0
% 3.95/4.32 showresimp = 1
% 3.95/4.32 showstatus = 2000
% 3.95/4.32
% 3.95/4.32 prologoutput = 1
% 3.95/4.32 nrgoals = 5000000
% 3.95/4.32 totalproof = 1
% 3.95/4.32
% 3.95/4.32 Symbols occurring in the translation:
% 3.95/4.32
% 3.95/4.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.95/4.32 . [1, 2] (w:1, o:83, a:1, s:1, b:0),
% 3.95/4.32 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 3.95/4.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.95/4.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.95/4.32 member [41, 2] (w:1, o:108, a:1, s:1, b:0),
% 3.95/4.32 'little_set' [42, 1] (w:1, o:48, a:1, s:1, b:0),
% 3.95/4.32 f1 [43, 2] (w:1, o:109, a:1, s:1, b:0),
% 3.95/4.32 'non_ordered_pair' [45, 2] (w:1, o:110, a:1, s:1, b:0),
% 3.95/4.32 'singleton_set' [46, 1] (w:1, o:52, a:1, s:1, b:0),
% 3.95/4.32 'ordered_pair' [47, 2] (w:1, o:111, a:1, s:1, b:0),
% 3.95/4.32 'ordered_pair_predicate' [48, 1] (w:1, o:53, a:1, s:1, b:0),
% 3.95/4.32 f2 [49, 1] (w:1, o:56, a:1, s:1, b:0),
% 3.95/4.32 f3 [50, 1] (w:1, o:61, a:1, s:1, b:0),
% 3.95/4.32 first [52, 1] (w:1, o:62, a:1, s:1, b:0),
% 3.95/4.32 f4 [53, 2] (w:1, o:116, a:1, s:1, b:0),
% 3.95/4.32 f5 [54, 2] (w:1, o:125, a:1, s:1, b:0),
% 3.95/4.32 second [56, 1] (w:1, o:63, a:1, s:1, b:0),
% 3.95/4.32 f6 [57, 2] (w:1, o:130, a:1, s:1, b:0),
% 3.95/4.32 f7 [58, 2] (w:1, o:131, a:1, s:1, b:0),
% 3.95/4.32 estin [59, 0] (w:1, o:31, a:1, s:1, b:0),
% 3.95/4.32 intersection [60, 2] (w:1, o:133, a:1, s:1, b:0),
% 3.95/4.32 complement [61, 1] (w:1, o:64, a:1, s:1, b:0),
% 3.95/4.32 union [62, 2] (w:1, o:134, a:1, s:1, b:0),
% 3.95/4.32 'domain_of' [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 3.95/4.32 f8 [64, 2] (w:1, o:135, a:1, s:1, b:0),
% 3.95/4.32 'cross_product' [66, 2] (w:1, o:136, a:1, s:1, b:0),
% 3.95/4.32 converse [67, 1] (w:1, o:65, a:1, s:1, b:0),
% 3.95/4.32 'rotate_right' [68, 1] (w:1, o:49, a:1, s:1, b:0),
% 3.95/4.32 f9 [69, 2] (w:1, o:137, a:1, s:1, b:0),
% 3.95/4.32 f10 [70, 2] (w:1, o:138, a:1, s:1, b:0),
% 3.95/4.32 f11 [71, 2] (w:1, o:139, a:1, s:1, b:0),
% 3.95/4.32 'flip_range_of' [73, 1] (w:1, o:67, a:1, s:1, b:0),
% 3.95/4.32 f12 [74, 2] (w:1, o:140, a:1, s:1, b:0),
% 3.95/4.32 f13 [75, 2] (w:1, o:141, a:1, s:1, b:0),
% 3.95/4.32 f14 [76, 2] (w:1, o:142, a:1, s:1, b:0),
% 3.95/4.32 successor [77, 1] (w:1, o:68, a:1, s:1, b:0),
% 3.95/4.32 'empty_set' [78, 0] (w:1, o:32, a:1, s:1, b:0),
% 3.95/4.32 'universal_set' [79, 0] (w:1, o:35, a:1, s:1, b:0),
% 3.95/4.32 infinity [80, 0] (w:1, o:36, a:1, s:1, b:0),
% 3.95/4.32 sigma [81, 1] (w:1, o:69, a:1, s:1, b:0),
% 3.95/4.32 f16 [82, 2] (w:1, o:143, a:1, s:1, b:0),
% 3.95/4.32 subset [83, 2] (w:1, o:145, a:1, s:1, b:0),
% 3.95/4.32 f17 [84, 2] (w:1, o:146, a:1, s:1, b:0),
% 3.95/4.32 'proper_subset' [85, 2] (w:1, o:147, a:1, s:1, b:0),
% 3.95/4.32 powerset [86, 1] (w:1, o:71, a:1, s:1, b:0),
% 3.95/4.32 relation [87, 1] (w:1, o:50, a:1, s:1, b:0),
% 3.95/4.32 f18 [88, 1] (w:1, o:54, a:1, s:1, b:0),
% 3.95/4.32 'single_valued_set' [89, 1] (w:1, o:72, a:1, s:1, b:0),
% 3.95/4.32 f19 [90, 1] (w:1, o:55, a:1, s:1, b:0),
% 3.95/4.32 f20 [91, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.95/4.32 f21 [92, 1] (w:1, o:58, a:1, s:1, b:0),
% 3.95/4.32 function [94, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.95/4.32 image [95, 2] (w:1, o:132, a:1, s:1, b:0),
% 3.95/4.32 f22 [96, 3] (w:1, o:157, a:1, s:1, b:0),
% 3.95/4.32 disjoint [97, 2] (w:1, o:151, a:1, s:1, b:0),
% 3.95/4.32 f23 [98, 2] (w:1, o:152, a:1, s:1, b:0),
% 3.95/4.32 f24 [99, 1] (w:1, o:59, a:1, s:1, b:0),
% 3.95/4.32 f25 [100, 0] (w:1, o:38, a:1, s:1, b:0),
% 3.95/4.32 f26 [101, 1] (w:1, o:60, a:1, s:1, b:0),
% 3.95/4.32 'range_of' [102, 1] (w:1, o:51, a:1, s:1, b:0),
% 3.95/4.32 f27 [103, 2] (w:1, o:153, a:1, s:1, b:0),
% 3.95/4.32 'identity_relation' [104, 0] (w:1, o:39, a:1, s:1, b:0),
% 3.95/4.32 restrict [105, 2] (w:1, o:144, a:1, s:1, b:0),
% 3.95/4.32 'one_to_one_function' [106, 1] (w:1, o:70, a:1, s:1, b:0),
% 3.95/4.32 apply [107, 2] (w:1, o:154, a:1, s:1, b:0),
% 3.95/4.32 f28 [108, 3] (w:1, o:158, a:1, s:1, b:0),
% 3.95/4.32 'apply_to_two_arguments' [109, 3] (w:1, o:159, a:1, s:1, b:0),
% 3.95/4.32 maps [110, 3] (w:1, o:160, a:1, s:1, b:0),
% 3.95/4.32 closed [112, 2] (w:1, o:148, a:1, s:1, b:0),
% 3.95/4.32 compose [114, 2] (w:1, o:149, a:1, s:1, b:0),
% 47.12/47.51 f29 [115, 3] (w:1, o:161, a:1, s:1, b:0),
% 47.12/47.51 f30 [116, 3] (w:1, o:162, a:1, s:1, b:0),
% 47.12/47.51 f31 [117, 3] (w:1, o:163, a:1, s:1, b:0),
% 47.12/47.51 homomorphism [123, 5] (w:1, o:168, a:1, s:1, b:0),
% 47.12/47.51 f32 [124, 5] (w:1, o:169, a:1, s:1, b:0),
% 47.12/47.51 f33 [125, 5] (w:1, o:170, a:1, s:1, b:0),
% 47.12/47.51 associative [126, 2] (w:1, o:155, a:1, s:1, b:0),
% 47.12/47.51 f34 [127, 2] (w:1, o:112, a:1, s:1, b:0),
% 47.12/47.51 f35 [128, 2] (w:1, o:113, a:1, s:1, b:0),
% 47.12/47.51 f36 [129, 2] (w:1, o:114, a:1, s:1, b:0),
% 47.12/47.51 identity [131, 3] (w:1, o:164, a:1, s:1, b:0),
% 47.12/47.51 f37 [132, 3] (w:1, o:165, a:1, s:1, b:0),
% 47.12/47.51 inverse [133, 4] (w:1, o:166, a:1, s:1, b:0),
% 47.12/47.51 f38 [134, 4] (w:1, o:167, a:1, s:1, b:0),
% 47.12/47.51 group [135, 2] (w:1, o:156, a:1, s:1, b:0),
% 47.12/47.51 f39 [136, 2] (w:1, o:115, a:1, s:1, b:0),
% 47.12/47.51 f40 [137, 2] (w:1, o:117, a:1, s:1, b:0),
% 47.12/47.51 commutes [138, 2] (w:1, o:150, a:1, s:1, b:0),
% 47.12/47.51 f41 [139, 2] (w:1, o:118, a:1, s:1, b:0),
% 47.12/47.51 f42 [140, 2] (w:1, o:119, a:1, s:1, b:0),
% 47.12/47.51 'natural_numbers' [141, 0] (w:1, o:40, a:1, s:1, b:0),
% 47.12/47.51 f43 [142, 2] (w:1, o:120, a:1, s:1, b:0),
% 47.12/47.51 f44 [143, 1] (w:1, o:74, a:1, s:1, b:0),
% 47.12/47.51 plus [145, 0] (w:1, o:41, a:1, s:1, b:0),
% 47.12/47.51 f45 [146, 2] (w:1, o:121, a:1, s:1, b:0),
% 47.12/47.51 f46 [147, 2] (w:1, o:122, a:1, s:1, b:0),
% 47.12/47.51 f47 [148, 2] (w:1, o:123, a:1, s:1, b:0),
% 47.12/47.51 f48 [149, 2] (w:1, o:124, a:1, s:1, b:0),
% 47.12/47.51 f49 [150, 1] (w:1, o:75, a:1, s:1, b:0),
% 47.12/47.51 times [154, 0] (w:1, o:33, a:1, s:1, b:0),
% 47.12/47.51 f50 [155, 2] (w:1, o:126, a:1, s:1, b:0),
% 47.12/47.51 f51 [156, 2] (w:1, o:127, a:1, s:1, b:0),
% 47.12/47.51 f52 [157, 2] (w:1, o:128, a:1, s:1, b:0),
% 47.12/47.51 f53 [158, 2] (w:1, o:129, a:1, s:1, b:0),
% 47.12/47.51 f54 [159, 1] (w:1, o:76, a:1, s:1, b:0),
% 47.12/47.51 'prime_numbers' [161, 0] (w:1, o:42, a:1, s:1, b:0),
% 47.12/47.51 f55 [162, 1] (w:1, o:77, a:1, s:1, b:0),
% 47.12/47.51 f56 [163, 1] (w:1, o:78, a:1, s:1, b:0),
% 47.12/47.51 finite [164, 1] (w:1, o:79, a:1, s:1, b:0),
% 47.12/47.51 f57 [165, 1] (w:1, o:80, a:1, s:1, b:0),
% 47.12/47.51 f58 [166, 1] (w:1, o:81, a:1, s:1, b:0),
% 47.12/47.51 'twin_prime_numbers' [168, 0] (w:1, o:34, a:1, s:1, b:0),
% 47.12/47.51 'even_numbers' [169, 0] (w:1, o:37, a:1, s:1, b:0),
% 47.12/47.51 f59 [170, 1] (w:1, o:82, a:1, s:1, b:0).
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Starting Search:
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 3566
% 47.12/47.51 Kept: 2019
% 47.12/47.51 Inuse: 91
% 47.12/47.51 Deleted: 0
% 47.12/47.51 Deletedinuse: 0
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 6971
% 47.12/47.51 Kept: 4062
% 47.12/47.51 Inuse: 150
% 47.12/47.51 Deleted: 1
% 47.12/47.51 Deletedinuse: 0
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 10421
% 47.12/47.51 Kept: 6096
% 47.12/47.51 Inuse: 220
% 47.12/47.51 Deleted: 13
% 47.12/47.51 Deletedinuse: 7
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 15849
% 47.12/47.51 Kept: 8127
% 47.12/47.51 Inuse: 269
% 47.12/47.51 Deleted: 15
% 47.12/47.51 Deletedinuse: 7
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 19752
% 47.12/47.51 Kept: 10955
% 47.12/47.51 Inuse: 308
% 47.12/47.51 Deleted: 15
% 47.12/47.51 Deletedinuse: 7
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 25149
% 47.12/47.51 Kept: 13038
% 47.12/47.51 Inuse: 362
% 47.12/47.51 Deleted: 17
% 47.12/47.51 Deletedinuse: 8
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 31340
% 47.12/47.51 Kept: 15299
% 47.12/47.51 Inuse: 397
% 47.12/47.51 Deleted: 27
% 47.12/47.51 Deletedinuse: 8
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 36750
% 47.12/47.51 Kept: 17384
% 47.12/47.51 Inuse: 438
% 47.12/47.51 Deleted: 174
% 47.12/47.51 Deletedinuse: 126
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 42502
% 47.12/47.51 Kept: 19434
% 47.12/47.51 Inuse: 460
% 47.12/47.51 Deleted: 237
% 47.12/47.51 Deletedinuse: 126
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying clauses:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 50631
% 47.12/47.51 Kept: 21453
% 47.12/47.51 Inuse: 501
% 47.12/47.51 Deleted: 4585
% 47.12/47.51 Deletedinuse: 126
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51 Resimplifying inuse:
% 47.12/47.51 Done
% 47.12/47.51
% 47.12/47.51
% 47.12/47.51 Intermediate Status:
% 47.12/47.51 Generated: 56139
% 47.12/47.51 Kept: 23454
% 47.12/47.51 Inuse: 530
% 47.12/47.51 Deleted: 4601
% 300.04/300.42 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------