Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE problem_log ( problem_log_id number, assigned_to_staff_id number, problem_id number, problem_category_code text, problem_status_code text, log_entry_date time, log_entry_description text, log_entry_fix text, other_log_details text )
TABLE: CREATE TABLE problem_category_codes ( problem_category_code text, problem_category_description text )
TABLE: CREATE TABLE staff ( staff_id number, staff_first_name text, staff_last_name text, other_staff_details text )
TABLE: CREATE TABLE product ( product_id number, product_name text, product_details text )
TABLE: CREATE TABLE problems ( problem_id number, product_id number, closure_authorised_by_staff_id number, reported_by_staff_id number, date_problem_reported time, date_problem_closed time, problem_description text, other_problem_details text )
TABLE: CREATE TABLE problem_status_codes ( problem_status_code text, problem_status_description text )

### Question ###
Which staff members who reported problems from the product 'rem' but not 'aut'? Give me their first and last names.

### Accurate SQL ###

SELECT T3.staff_first_name, T3.staff_last_name FROM problems AS T1 JOIN product AS T2 JOIN staff AS T3 ON T1.product_id = T2.product_id AND T1.reported_by_staff_id = T3.staff_id WHERE T2.product_name = "rem" EXCEPT SELECT T3.staff_first_name, T3.staff_last_name FROM problems AS T1 JOIN product AS T2 JOIN staff AS T3 ON T1.product_id = T2.product_id AND T1.reported_by_staff_id = T3.staff_id WHERE T2.product_name = "aut"