Upvote:2
Do I tick no or yes?
Your residence is in a country other than the country of which you are a citizen. Therefore, you should tick yes.
If yes, I am not sure how to fill in the blanks: "Residence permit or equivalent (1)____ No. (2)____ Valid until (3)____" Will I be inputing the details from my F-1 visa?
You should read and follow any instructions given by the embassy responsible for your visa application. For example, if you are applying in New York for a visa to go to Italy:
If you are not a U.S. citizen and you need to apply for a visa, you must provide a copy of the title that allows you to reside legally in the U.S. (U.S. long term visa with exclusion of B1/B2, U.S. permanent resident card, I-20, I-797, resident alien card). The title must have a validity of at least 3 months beyond the last day of your trip in the Schengen Area.
This doesn't much help, unfortunately. If I were you, and if the country you're applying to is similarly unhelpful, I would put the visa details and the I-20 details, just to be safe. I would probably also include details of the I-94, just to be safe.