Why one of the predicates would lead to too big intermediate results?

Question

I am trying to left-merge two small tables given by sub-select and get an error message:

One of the predicates would lead to too big intermediate results. Table date_rabges_table has more than 5000000 rows or is bigger than 5000000 KB

The query that I use is given here:

select
    *
from
    (
    select
        date
    from
        dates_table
    where
        to_date('2010-01-01') <= date
        and
        date <= to_date('2014-01-01')
    )
left join
    (
    select
        min_date, max_date
    from
        date_ranges_table
    where
        i_id = 7
        and
        j_id = 13
    )
on
    min_date <= date
    and
    date < max_date
;

Some more details:

1. The first sub-select gives just one column with dates between 2010-01-01 and 2014-01-01 (I think it is a bit more that 1400 dates)
2. The second sub-select gives a table with two columns and two rows.

min_date    max_date 
2013-02-01    2013-05-01
2013-06-01    2013-07-01

I do not understand why I get the error message that I mentioned above. I am merging two tables that are small (about 1400 rows and exactly 2 row). The final results of left-join should not be larger than the table on the left. Where is the problem?