TSTP Solution File: SET034-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET034-3 : 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 22:45:52 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET034-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jul 11 05:49:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.45/1.10 *** allocated 10000 integers for termspace/termends
% 0.45/1.10 *** allocated 10000 integers for clauses
% 0.45/1.10 *** allocated 10000 integers for justifications
% 0.45/1.10 Bliksem 1.12
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Automatic Strategy Selection
% 0.45/1.10
% 0.45/1.10 Clauses:
% 0.45/1.10 [
% 0.45/1.10 [ ~( member( X, Y ) ), 'little_set'( X ) ],
% 0.45/1.10 [ 'little_set'( f1( X, Y ) ), =( X, Y ) ],
% 0.45/1.10 [ member( f1( X, Y ), X ), member( f1( X, Y ), Y ), =( X, Y ) ],
% 0.45/1.10 [ ~( member( f1( X, Y ), X ) ), ~( member( f1( X, Y ), Y ) ), =( X, Y )
% 0.45/1.10 ],
% 0.45/1.10 [ ~( member( X, 'non_ordered_pair'( Y, Z ) ) ), =( X, Y ), =( X, Z ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 =( X, Y ) ) ],
% 0.45/1.10 [ member( X, 'non_ordered_pair'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 =( X, Z ) ) ],
% 0.45/1.10 [ 'little_set'( 'non_ordered_pair'( X, Y ) ) ],
% 0.45/1.10 [ =( 'singleton_set'( X ), 'non_ordered_pair'( X, X ) ) ],
% 0.45/1.10 [ =( 'ordered_pair'( X, Y ), 'non_ordered_pair'( 'singleton_set'( X ),
% 0.45/1.10 'non_ordered_pair'( X, Y ) ) ) ],
% 0.45/1.10 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f2( X ) ) ],
% 0.45/1.10 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( f3( X ) ) ],
% 0.45/1.10 [ ~( 'ordered_pair_predicate'( X ) ), =( X, 'ordered_pair'( f2( X ), f3(
% 0.45/1.10 X ) ) ) ],
% 0.45/1.10 [ 'ordered_pair_predicate'( X ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.45/1.10 Z ) ), ~( =( X, 'ordered_pair'( Y, Z ) ) ) ],
% 0.45/1.10 [ ~( member( X, first( Y ) ) ), 'little_set'( f4( X, Y ) ) ],
% 0.45/1.10 [ ~( member( X, first( Y ) ) ), 'little_set'( f5( X, Y ) ) ],
% 0.45/1.10 [ ~( member( X, first( Y ) ) ), =( Y, 'ordered_pair'( f4( X, Y ), f5( X
% 0.45/1.10 , Y ) ) ) ],
% 0.45/1.10 [ ~( member( X, first( Y ) ) ), member( X, f4( X, Y ) ) ],
% 0.45/1.10 [ member( X, first( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.45/1.10 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, Z ) ) ],
% 0.45/1.10 [ ~( member( X, second( Y ) ) ), 'little_set'( f6( X, Y ) ) ],
% 0.45/1.10 [ ~( member( X, second( Y ) ) ), 'little_set'( f7( X, Y ) ) ],
% 0.45/1.10 [ ~( member( X, second( Y ) ) ), =( Y, 'ordered_pair'( f6( X, Y ), f7( X
% 0.45/1.10 , Y ) ) ) ],
% 0.45/1.10 [ ~( member( X, second( Y ) ) ), member( X, f7( X, Y ) ) ],
% 0.45/1.10 [ member( X, second( Y ) ), ~( 'little_set'( Z ) ), ~( 'little_set'( T )
% 0.45/1.10 ), ~( =( Y, 'ordered_pair'( Z, T ) ) ), ~( member( X, T ) ) ],
% 0.45/1.10 [ ~( member( X, estin ) ), 'ordered_pair_predicate'( X ) ],
% 0.45/1.10 [ ~( member( X, estin ) ), member( first( X ), second( X ) ) ],
% 0.45/1.10 [ member( X, estin ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( X ) ), ~( member( first( X ), second( X ) ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Y ) ],
% 0.45/1.10 [ ~( member( X, intersection( Y, Z ) ) ), member( X, Z ) ],
% 0.45/1.10 [ member( X, intersection( Y, Z ) ), ~( member( X, Y ) ), ~( member( X,
% 0.45/1.10 Z ) ) ],
% 0.45/1.10 [ ~( member( X, complement( Y ) ) ), ~( member( X, Y ) ) ],
% 0.45/1.10 [ member( X, complement( Y ) ), ~( 'little_set'( X ) ), member( X, Y ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ =( union( X, Y ), complement( intersection( complement( X ),
% 0.45/1.10 complement( Y ) ) ) ) ],
% 0.45/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), 'ordered_pair_predicate'( f8( X, Y
% 0.45/1.10 ) ) ],
% 0.45/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), member( f8( X, Y ), Y ) ],
% 0.45/1.10 [ ~( member( X, 'domain_of'( Y ) ) ), =( X, first( f8( X, Y ) ) ) ],
% 0.45/1.10 [ member( X, 'domain_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, first( Z )
% 0.45/1.10 ) ) ],
% 0.45/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), 'ordered_pair_predicate'( X
% 0.45/1.10 ) ],
% 0.45/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( first( X ), Y ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'cross_product'( Y, Z ) ) ), member( second( X ), Z ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ member( X, 'cross_product'( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( X ) ), ~( member( first( X ), Y ) ), ~( member(
% 0.45/1.10 second( X ), Z ) ) ],
% 0.45/1.10 [ ~( member( X, converse( Y ) ) ), 'ordered_pair_predicate'( X ) ],
% 0.45/1.10 [ ~( member( X, converse( Y ) ) ), member( 'ordered_pair'( second( X ),
% 0.45/1.10 first( X ) ), Y ) ],
% 0.45/1.10 [ member( X, converse( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( X ) ), ~( member( 'ordered_pair'( second( X ),
% 0.45/1.10 first( X ) ), Y ) ) ],
% 0.45/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f9( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f10( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), 'little_set'( f11( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), =( X, 'ordered_pair'( f9( X, Y
% 0.45/1.10 ), 'ordered_pair'( f10( X, Y ), f11( X, Y ) ) ) ) ],
% 0.45/1.10 [ ~( member( X, 'rotate_right'( Y ) ) ), member( 'ordered_pair'( f10( X
% 0.45/1.10 , Y ), 'ordered_pair'( f11( X, Y ), f9( X, Y ) ) ), Y ) ],
% 0.45/1.10 [ member( X, 'rotate_right'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.45/1.10 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.45/1.10 'ordered_pair'( T, 'ordered_pair'( U, Z ) ), Y ) ) ],
% 0.45/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f12( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f13( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), 'little_set'( f14( X, Y ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), =( X, 'ordered_pair'( f12( X,
% 0.45/1.10 Y ), 'ordered_pair'( f13( X, Y ), f14( X, Y ) ) ) ) ],
% 0.45/1.10 [ ~( member( X, 'flip_range_of'( Y ) ) ), member( 'ordered_pair'( f12( X
% 0.45/1.10 , Y ), 'ordered_pair'( f14( X, Y ), f13( X, Y ) ) ), Y ) ],
% 0.45/1.10 [ member( X, 'flip_range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'little_set'( Z ) ), ~( 'little_set'( T ) ), ~( 'little_set'( U ) ), ~(
% 0.45/1.10 =( X, 'ordered_pair'( Z, 'ordered_pair'( T, U ) ) ) ), ~( member(
% 0.45/1.10 'ordered_pair'( Z, 'ordered_pair'( U, T ) ), Y ) ) ],
% 0.45/1.10 [ =( successor( X ), union( X, 'singleton_set'( X ) ) ) ],
% 0.45/1.10 [ ~( member( X, 'empty_set' ) ) ],
% 0.45/1.10 [ member( X, 'universal_set' ), ~( 'little_set'( X ) ) ],
% 0.45/1.10 [ 'little_set'( infinity ) ],
% 0.45/1.10 [ member( 'empty_set', infinity ) ],
% 0.45/1.10 [ ~( member( X, infinity ) ), member( successor( X ), infinity ) ],
% 0.45/1.10 [ ~( member( X, sigma( Y ) ) ), member( f16( X, Y ), Y ) ],
% 0.45/1.10 [ ~( member( X, sigma( Y ) ) ), member( X, f16( X, Y ) ) ],
% 0.45/1.10 [ member( X, sigma( Y ) ), ~( member( Z, Y ) ), ~( member( X, Z ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( 'little_set'( X ) ), 'little_set'( sigma( X ) ) ],
% 0.45/1.10 [ ~( subset( X, Y ) ), ~( member( Z, X ) ), member( Z, Y ) ],
% 0.45/1.10 [ subset( X, Y ), member( f17( X, Y ), X ) ],
% 0.45/1.10 [ subset( X, Y ), ~( member( f17( X, Y ), Y ) ) ],
% 0.45/1.10 [ ~( 'proper_subset'( X, Y ) ), subset( X, Y ) ],
% 0.45/1.10 [ ~( 'proper_subset'( X, Y ) ), ~( =( X, Y ) ) ],
% 0.45/1.10 [ 'proper_subset'( X, Y ), ~( subset( X, Y ) ), =( X, Y ) ],
% 0.45/1.10 [ ~( member( X, powerset( Y ) ) ), subset( X, Y ) ],
% 0.45/1.10 [ member( X, powerset( Y ) ), ~( 'little_set'( X ) ), ~( subset( X, Y )
% 0.45/1.10 ) ],
% 0.45/1.10 [ ~( 'little_set'( X ) ), 'little_set'( powerset( X ) ) ],
% 0.45/1.10 [ ~( relation( X ) ), ~( member( Y, X ) ), 'ordered_pair_predicate'( Y )
% 0.45/1.10 ],
% 0.45/1.10 [ relation( X ), member( f18( X ), X ) ],
% 0.45/1.10 [ relation( X ), ~( 'ordered_pair_predicate'( f18( X ) ) ) ],
% 0.45/1.10 [ ~( 'single_valued_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'(
% 0.45/1.10 Z ) ), ~( 'little_set'( T ) ), ~( member( 'ordered_pair'( Y, Z ), X ) ),
% 0.45/1.10 ~( member( 'ordered_pair'( Y, T ), X ) ), =( Z, T ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), 'little_set'( f19( X ) ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), 'little_set'( f20( X ) ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), 'little_set'( f21( X ) ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f20( X ) )
% 0.45/1.10 , X ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), member( 'ordered_pair'( f19( X ), f21( X ) )
% 0.45/1.10 , X ) ],
% 0.45/1.10 [ 'single_valued_set'( X ), ~( =( f20( X ), f21( X ) ) ) ],
% 0.45/1.10 [ ~( function( X ) ), relation( X ) ],
% 0.45/1.10 [ ~( function( X ) ), 'single_valued_set'( X ) ],
% 0.45/1.10 [ function( X ), ~( relation( X ) ), ~( 'single_valued_set'( X ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, image( Y, Z ) ) ), 'ordered_pair_predicate'( f22( X, Y,
% 0.45/1.10 Z ) ) ],
% 0.45/1.10 [ ~( member( X, image( Y, Z ) ) ), member( f22( X, Y, Z ), Z ) ],
% 0.45/1.10 [ ~( member( X, image( Y, Z ) ) ), member( first( f22( X, Y, Z ) ), Y )
% 0.45/1.10 ],
% 0.45/1.10 [ ~( member( X, image( Y, Z ) ) ), =( second( f22( X, Y, Z ) ), X ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ member( X, image( Y, Z ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( T ) ), ~( member( T, Z ) ), ~( member( first( T
% 0.45/1.10 ), Y ) ), ~( =( second( T ), X ) ) ],
% 0.45/1.10 [ ~( 'little_set'( X ) ), ~( function( Y ) ), 'little_set'( image( X, Y
% 0.45/1.10 ) ) ],
% 0.45/1.10 [ ~( disjoint( X, Y ) ), ~( member( Z, X ) ), ~( member( Z, Y ) ) ],
% 0.45/1.10 [ disjoint( X, Y ), member( f23( X, Y ), X ) ],
% 0.45/1.10 [ disjoint( X, Y ), member( f23( X, Y ), Y ) ],
% 0.45/1.10 [ =( X, 'empty_set' ), member( f24( X ), X ) ],
% 0.45/1.10 [ =( X, 'empty_set' ), disjoint( f24( X ), X ) ],
% 0.45/1.10 [ function( f25 ) ],
% 0.45/1.10 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( f26( X ), X ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( 'little_set'( X ) ), =( X, 'empty_set' ), member( 'ordered_pair'( X
% 0.45/1.10 , f26( X ) ), f25 ) ],
% 0.45/1.10 [ ~( member( X, 'range_of'( Y ) ) ), 'ordered_pair_predicate'( f27( X, Y
% 0.45/1.10 ) ) ],
% 0.45/1.10 [ ~( member( X, 'range_of'( Y ) ) ), member( f27( X, Y ), Y ) ],
% 0.45/1.10 [ ~( member( X, 'range_of'( Y ) ) ), =( X, second( f27( X, Y ) ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ member( X, 'range_of'( Y ) ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( Z ) ), ~( member( Z, Y ) ), ~( =( X, second( Z
% 0.45/1.10 ) ) ) ],
% 0.45/1.10 [ ~( member( X, 'identity_relation' ) ), 'ordered_pair_predicate'( X ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, 'identity_relation' ) ), =( first( X ), second( X ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ member( X, 'identity_relation' ), ~( 'little_set'( X ) ), ~(
% 0.45/1.10 'ordered_pair_predicate'( X ) ), ~( =( first( X ), second( X ) ) ) ],
% 0.45/1.10 [ =( restrict( X, Y ), intersection( X, 'cross_product'( Y,
% 0.45/1.10 'universal_set' ) ) ) ],
% 0.45/1.10 [ ~( 'one_to_one_function'( X ) ), function( X ) ],
% 0.45/1.10 [ ~( 'one_to_one_function'( X ) ), function( converse( X ) ) ],
% 0.45/1.10 [ 'one_to_one_function'( X ), ~( function( X ) ), ~( function( converse(
% 0.45/1.10 X ) ) ) ],
% 0.45/1.10 [ ~( member( X, apply( Y, Z ) ) ), 'ordered_pair_predicate'( f28( X, Y,
% 0.45/1.10 Z ) ) ],
% 0.45/1.10 [ ~( member( X, apply( Y, Z ) ) ), member( f28( X, Y, Z ), Y ) ],
% 0.45/1.10 [ ~( member( X, apply( Y, Z ) ) ), =( first( f28( X, Y, Z ) ), Z ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, apply( Y, Z ) ) ), member( X, second( f28( X, Y, Z ) ) )
% 0.45/1.10 ],
% 0.45/1.10 [ member( X, apply( Y, Z ) ), ~( 'ordered_pair_predicate'( T ) ), ~(
% 0.45/1.10 member( T, Y ) ), ~( =( first( T ), Z ) ), ~( member( X, second( T ) ) )
% 0.45/1.10 ],
% 0.45/1.10 [ =( 'apply_to_two_arguments'( X, Y, Z ), apply( X, 'ordered_pair'( Y, Z
% 0.45/1.10 ) ) ) ],
% 0.45/1.10 [ ~( maps( X, Y, Z ) ), function( X ) ],
% 0.45/1.10 [ ~( maps( X, Y, Z ) ), =( 'domain_of'( X ), Y ) ],
% 0.45/1.10 [ ~( maps( X, Y, Z ) ), subset( 'range_of'( X ), Z ) ],
% 0.45/1.10 [ maps( X, Y, Z ), ~( function( X ) ), ~( =( 'domain_of'( X ), Y ) ),
% 0.45/1.10 ~( subset( 'range_of'( X ), Z ) ) ],
% 0.45/1.10 [ ~( closed( X, Y ) ), 'little_set'( X ) ],
% 0.45/1.10 [ ~( closed( X, Y ) ), 'little_set'( Y ) ],
% 0.45/1.10 [ ~( closed( X, Y ) ), maps( Y, 'cross_product'( X, X ), X ) ],
% 0.45/1.10 [ closed( X, Y ), ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~(
% 0.45/1.10 maps( Y, 'cross_product'( X, X ), X ) ) ],
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f29( X, Y, Z ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f30( X, Y, Z ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), 'little_set'( f31( X, Y, Z ) ) ]
% 0.45/1.10 ,
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), =( X, 'ordered_pair'( f29( X, Y, Z
% 0.45/1.10 ), f30( X, Y, Z ) ) ) ],
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f29( X, Y,
% 0.45/1.10 Z ), f31( X, Y, Z ) ), Y ) ],
% 0.45/1.10 [ ~( member( X, compose( Y, Z ) ) ), member( 'ordered_pair'( f31( X, Y,
% 0.45/1.10 Z ), f30( X, Y, Z ) ), Z ) ],
% 0.45/1.10 [ member( X, compose( Y, Z ) ), ~( 'little_set'( X ) ), ~( 'little_set'(
% 0.45/1.10 T ) ), ~( 'little_set'( U ) ), ~( 'little_set'( W ) ), ~( =( X,
% 0.45/1.10 'ordered_pair'( T, U ) ) ), ~( member( 'ordered_pair'( T, W ), Y ) ), ~(
% 0.45/1.10 member( 'ordered_pair'( W, U ), Z ) ) ],
% 0.45/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( Y, Z ) ],
% 0.45/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), closed( T, U ) ],
% 0.45/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), maps( X, Y, T ) ],
% 0.45/1.10 [ ~( homomorphism( X, Y, Z, T, U ) ), ~( member( W, Y ) ), ~( member( V0
% 0.45/1.10 , Y ) ), =( apply( X, 'apply_to_two_arguments'( Z, W, V0 ) ),
% 0.45/1.10 'apply_to_two_arguments'( U, apply( X, W ), apply( X, V0 ) ) ) ],
% 0.45/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.45/1.10 ), ~( maps( X, Y, T ) ), member( f32( X, Y, Z, T, U ), Y ) ],
% 0.45/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 0.45/1.10 ), ~( maps( X, Y, T ) ), member( f33( X, Y, Z, T, U ), Y ) ],
% 0.45/1.10 [ homomorphism( X, Y, Z, T, U ), ~( closed( Y, Z ) ), ~( closed( T, U )
% 1.68/2.07 ), ~( maps( X, Y, T ) ), ~( =( apply( X, 'apply_to_two_arguments'( Z,
% 1.68/2.07 f32( X, Y, Z, T, U ), f33( X, Y, Z, T, U ) ) ), 'apply_to_two_arguments'(
% 1.68/2.07 U, apply( X, f32( X, Y, Z, T, U ) ), apply( X, f33( X, Y, Z, T, U ) ) ) )
% 1.68/2.07 ) ],
% 1.68/2.07 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =( 'ordered_pair'(
% 1.68/2.07 X, Z ), 'ordered_pair'( Y, T ) ) ), =( X, Y ) ],
% 1.68/2.07 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( =(
% 1.68/2.07 'non_ordered_pair'( Z, X ), 'non_ordered_pair'( Z, Y ) ) ), =( X, Y ) ]
% 1.68/2.07 ,
% 1.68/2.07 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), ~( 'little_set'( Z ) )
% 1.68/2.07 , ~( 'little_set'( T ) ), ~( =( 'ordered_pair'( X, Y ), 'ordered_pair'( Z
% 1.68/2.07 , T ) ) ), =( Y, T ) ],
% 1.68/2.07 [ ~( subset( X, Y ) ), ~( subset( Y, X ) ), =( X, Y ) ],
% 1.68/2.07 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), =( first(
% 1.68/2.07 'ordered_pair'( X, Y ) ), X ) ],
% 1.68/2.07 [ ~( 'little_set'( X ) ), ~( 'little_set'( Y ) ), =( second(
% 1.68/2.07 'ordered_pair'( X, Y ) ), Y ) ],
% 1.68/2.07 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( first( X ) ) ],
% 1.68/2.07 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( second( X ) ) ],
% 1.68/2.07 [ ~( 'little_set'( X ) ), member( X, 'singleton_set'( X ) ) ],
% 1.68/2.07 [ 'little_set'( 'ordered_pair'( X, Y ) ) ],
% 1.68/2.07 [ ~( 'ordered_pair_predicate'( X ) ), 'little_set'( X ) ],
% 1.68/2.07 [ ~( subset( X, Y ) ), ~( subset( Y, Z ) ), subset( X, Z ) ],
% 1.68/2.07 [ subset( apply( X, Y ), sigma( image( 'singleton_set'( Y ), X ) ) ) ]
% 1.68/2.07 ,
% 1.68/2.07 [ subset( image( 'singleton_set'( X ), Y ), apply( Y, X ) ) ],
% 1.68/2.07 [ ~( function( X ) ), 'little_set'( apply( X, Y ) ) ],
% 1.68/2.07 [ relation( compose( X, Y ) ) ],
% 1.68/2.07 [ subset( 'range_of'( compose( X, Y ) ), 'range_of'( X ) ) ],
% 1.68/2.07 [ ~( subset( 'range_of'( X ), 'domain_of'( Y ) ) ), =( 'domain_of'( X )
% 1.68/2.07 , 'domain_of'( compose( Y, X ) ) ) ],
% 1.68/2.07 [ function( 'a_function' ) ],
% 1.68/2.07 [ function( 'another_function' ) ],
% 1.68/2.07 [ ~( function( compose( 'another_function', 'a_function' ) ) ) ]
% 1.68/2.07 ] .
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 percentage equality = 0.142145, percentage horn = 0.876543
% 1.68/2.07 This is a problem with some equality
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Options Used:
% 1.68/2.07
% 1.68/2.07 useres = 1
% 1.68/2.07 useparamod = 1
% 1.68/2.07 useeqrefl = 1
% 1.68/2.07 useeqfact = 1
% 1.68/2.07 usefactor = 1
% 1.68/2.07 usesimpsplitting = 0
% 1.68/2.07 usesimpdemod = 5
% 1.68/2.07 usesimpres = 3
% 1.68/2.07
% 1.68/2.07 resimpinuse = 1000
% 1.68/2.07 resimpclauses = 20000
% 1.68/2.07 substype = eqrewr
% 1.68/2.07 backwardsubs = 1
% 1.68/2.07 selectoldest = 5
% 1.68/2.07
% 1.68/2.07 litorderings [0] = split
% 1.68/2.07 litorderings [1] = extend the termordering, first sorting on arguments
% 1.68/2.07
% 1.68/2.07 termordering = kbo
% 1.68/2.07
% 1.68/2.07 litapriori = 0
% 1.68/2.07 termapriori = 1
% 1.68/2.07 litaposteriori = 0
% 1.68/2.07 termaposteriori = 0
% 1.68/2.07 demodaposteriori = 0
% 1.68/2.07 ordereqreflfact = 0
% 1.68/2.07
% 1.68/2.07 litselect = negord
% 1.68/2.07
% 1.68/2.07 maxweight = 15
% 1.68/2.07 maxdepth = 30000
% 1.68/2.07 maxlength = 115
% 1.68/2.07 maxnrvars = 195
% 1.68/2.07 excuselevel = 1
% 1.68/2.07 increasemaxweight = 1
% 1.68/2.07
% 1.68/2.07 maxselected = 10000000
% 1.68/2.07 maxnrclauses = 10000000
% 1.68/2.07
% 1.68/2.07 showgenerated = 0
% 1.68/2.07 showkept = 0
% 1.68/2.07 showselected = 0
% 1.68/2.07 showdeleted = 0
% 1.68/2.07 showresimp = 1
% 1.68/2.07 showstatus = 2000
% 1.68/2.07
% 1.68/2.07 prologoutput = 1
% 1.68/2.07 nrgoals = 5000000
% 1.68/2.07 totalproof = 1
% 1.68/2.07
% 1.68/2.07 Symbols occurring in the translation:
% 1.68/2.07
% 1.68/2.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.68/2.07 . [1, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.68/2.07 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 1.68/2.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.07 member [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.68/2.07 'little_set' [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.68/2.07 f1 [43, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.68/2.07 'non_ordered_pair' [45, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.68/2.07 'singleton_set' [46, 1] (w:1, o:41, a:1, s:1, b:0),
% 1.68/2.07 'ordered_pair' [47, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.68/2.07 'ordered_pair_predicate' [48, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.68/2.07 f2 [49, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.68/2.07 f3 [50, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.68/2.07 first [52, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.68/2.07 f4 [53, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.68/2.07 f5 [54, 2] (w:1, o:93, a:1, s:1, b:0),
% 1.68/2.07 second [56, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.68/2.07 f6 [57, 2] (w:1, o:94, a:1, s:1, b:0),
% 1.68/2.07 f7 [58, 2] (w:1, o:95, a:1, s:1, b:0),
% 1.68/2.07 estin [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.68/2.07 intersection [60, 2] (w:1, o:97, a:1, s:1, b:0),
% 45.56/45.93 complement [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 45.56/45.93 union [62, 2] (w:1, o:98, a:1, s:1, b:0),
% 45.56/45.93 'domain_of' [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 45.56/45.93 f8 [64, 2] (w:1, o:99, a:1, s:1, b:0),
% 45.56/45.93 'cross_product' [66, 2] (w:1, o:100, a:1, s:1, b:0),
% 45.56/45.93 converse [67, 1] (w:1, o:54, a:1, s:1, b:0),
% 45.56/45.93 'rotate_right' [68, 1] (w:1, o:38, a:1, s:1, b:0),
% 45.56/45.93 f9 [69, 2] (w:1, o:101, a:1, s:1, b:0),
% 45.56/45.93 f10 [70, 2] (w:1, o:102, a:1, s:1, b:0),
% 45.56/45.93 f11 [71, 2] (w:1, o:103, a:1, s:1, b:0),
% 45.56/45.93 'flip_range_of' [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 45.56/45.93 f12 [74, 2] (w:1, o:104, a:1, s:1, b:0),
% 45.56/45.93 f13 [75, 2] (w:1, o:105, a:1, s:1, b:0),
% 45.56/45.93 f14 [76, 2] (w:1, o:106, a:1, s:1, b:0),
% 45.56/45.93 successor [77, 1] (w:1, o:57, a:1, s:1, b:0),
% 45.56/45.93 'empty_set' [78, 0] (w:1, o:25, a:1, s:1, b:0),
% 45.56/45.93 'universal_set' [79, 0] (w:1, o:26, a:1, s:1, b:0),
% 45.56/45.93 infinity [80, 0] (w:1, o:27, a:1, s:1, b:0),
% 45.56/45.93 sigma [81, 1] (w:1, o:58, a:1, s:1, b:0),
% 45.56/45.93 f16 [82, 2] (w:1, o:107, a:1, s:1, b:0),
% 45.56/45.93 subset [83, 2] (w:1, o:109, a:1, s:1, b:0),
% 45.56/45.93 f17 [84, 2] (w:1, o:110, a:1, s:1, b:0),
% 45.56/45.93 'proper_subset' [85, 2] (w:1, o:111, a:1, s:1, b:0),
% 45.56/45.93 powerset [86, 1] (w:1, o:60, a:1, s:1, b:0),
% 45.56/45.93 relation [87, 1] (w:1, o:39, a:1, s:1, b:0),
% 45.56/45.93 f18 [88, 1] (w:1, o:43, a:1, s:1, b:0),
% 45.56/45.93 'single_valued_set' [89, 1] (w:1, o:61, a:1, s:1, b:0),
% 45.56/45.93 f19 [90, 1] (w:1, o:44, a:1, s:1, b:0),
% 45.56/45.93 f20 [91, 1] (w:1, o:46, a:1, s:1, b:0),
% 45.56/45.93 f21 [92, 1] (w:1, o:47, a:1, s:1, b:0),
% 45.56/45.93 function [94, 1] (w:1, o:62, a:1, s:1, b:0),
% 45.56/45.93 image [95, 2] (w:1, o:96, a:1, s:1, b:0),
% 45.56/45.93 f22 [96, 3] (w:1, o:118, a:1, s:1, b:0),
% 45.56/45.93 disjoint [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 45.56/45.93 f23 [98, 2] (w:1, o:115, a:1, s:1, b:0),
% 45.56/45.93 f24 [99, 1] (w:1, o:48, a:1, s:1, b:0),
% 45.56/45.93 f25 [100, 0] (w:1, o:28, a:1, s:1, b:0),
% 45.56/45.93 f26 [101, 1] (w:1, o:49, a:1, s:1, b:0),
% 45.56/45.93 'range_of' [102, 1] (w:1, o:40, a:1, s:1, b:0),
% 45.56/45.93 f27 [103, 2] (w:1, o:116, a:1, s:1, b:0),
% 45.56/45.93 'identity_relation' [104, 0] (w:1, o:29, a:1, s:1, b:0),
% 45.56/45.93 restrict [105, 2] (w:1, o:108, a:1, s:1, b:0),
% 45.56/45.93 'one_to_one_function' [106, 1] (w:1, o:59, a:1, s:1, b:0),
% 45.56/45.93 apply [107, 2] (w:1, o:117, a:1, s:1, b:0),
% 45.56/45.93 f28 [108, 3] (w:1, o:119, a:1, s:1, b:0),
% 45.56/45.93 'apply_to_two_arguments' [109, 3] (w:1, o:120, a:1, s:1, b:0),
% 45.56/45.93 maps [110, 3] (w:1, o:121, a:1, s:1, b:0),
% 45.56/45.93 closed [112, 2] (w:1, o:112, a:1, s:1, b:0),
% 45.56/45.93 compose [114, 2] (w:1, o:113, a:1, s:1, b:0),
% 45.56/45.93 f29 [115, 3] (w:1, o:122, a:1, s:1, b:0),
% 45.56/45.93 f30 [116, 3] (w:1, o:123, a:1, s:1, b:0),
% 45.56/45.93 f31 [117, 3] (w:1, o:124, a:1, s:1, b:0),
% 45.56/45.93 homomorphism [123, 5] (w:1, o:125, a:1, s:1, b:0),
% 45.56/45.93 f32 [124, 5] (w:1, o:126, a:1, s:1, b:0),
% 45.56/45.93 f33 [125, 5] (w:1, o:127, a:1, s:1, b:0),
% 45.56/45.93 'a_function' [126, 0] (w:1, o:30, a:1, s:1, b:0),
% 45.56/45.93 'another_function' [127, 0] (w:1, o:31, a:1, s:1, b:0).
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Starting Search:
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 3560
% 45.56/45.93 Kept: 2009
% 45.56/45.93 Inuse: 92
% 45.56/45.93 Deleted: 0
% 45.56/45.93 Deletedinuse: 0
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 7157
% 45.56/45.93 Kept: 4017
% 45.56/45.93 Inuse: 154
% 45.56/45.93 Deleted: 8
% 45.56/45.93 Deletedinuse: 0
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 10609
% 45.56/45.93 Kept: 6072
% 45.56/45.93 Inuse: 217
% 45.56/45.93 Deleted: 14
% 45.56/45.93 Deletedinuse: 0
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 16489
% 45.56/45.93 Kept: 8097
% 45.56/45.93 Inuse: 261
% 45.56/45.93 Deleted: 16
% 45.56/45.93 Deletedinuse: 0
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 20421
% 45.56/45.93 Kept: 10935
% 45.56/45.93 Inuse: 300
% 45.56/45.93 Deleted: 16
% 45.56/45.93 Deletedinuse: 0
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: 26106
% 45.56/45.93 Kept: 12990
% 45.56/45.93 Inuse: 352
% 45.56/45.93 Deleted: 20
% 45.56/45.93 Deletedinuse: 1
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93 Resimplifying inuse:
% 45.56/45.93 Done
% 45.56/45.93
% 45.56/45.93
% 45.56/45.93 Intermediate Status:
% 45.56/45.93 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------