Not and its contracted form n't are never part of the verb.
Instructions: Pick out the verb phrases in these sentences.
1. The game will not be finished for another hour.
2. The horse shouldn't have been worked so much.
3. Wouldn't you give me another chance?
--For answers scroll down.
1. will be finished
2. should have been worked
3. would give
Not and n't are not part of the verb phrase. Verb phrases can have one, two, or three helping verbs in them.
http://www.dailygrammar.com/archive.html. Our lessons are also available to purchase in an eBook and a Workbook format.
from Daily Grammar Lessons Blog