I worked for a large movie studio.
First of all, find out who owns the rights to the film. Just because it came from a particular studio, that doesn’t automatically mean they still own the rights - but that would be where I would begin; contact the studio to see if they still have the rights.
Write a letter to the studio legal department and let them know what you have in mind. Is this for a school project, how long will the show run, will there be an admission charge, who will get the money, will any original diaglogue or scenes from the film be used, etc.
Studios are generally hesitant about giving away even an iota of any rights - copyright and trademark laws are very specific about this. Even if a studio wanted to be generous with you, there are lots of factors for them to consider that have nothing to do with your project, or you personally.
However, sometimes a studio will grant “limited” rights to a school or non-profit to use all or part of their film for a specific purpose. The key word here is sometimes, but not very often.
But by all means, get written permission! Otherwise, if they get wind of it, you might be shut down before the show hits the stage (wasting all that time and money on pre-production on your part), or worse - be slapped with a hefty lawsuit.
And don’t think they won’t find out. They have a legal staff that occasionally does searches for infringement of their copyrights and trademarks. Believe it or not, most of the time, it is a whistle-blower somewhere who lets the studio know someone is using their material without permission. We used to get anonymous letters all the time letting us know someone had named their business using one of our trademarks, or used an image from one of our films in their advertising. We would generally just send a cease and desist letter, but depending how serious the matter, sometimes a swarm of studio lawyers would zero in on the matter.