I'm wondering if there is a phrase that has similar meaning with "outlive" but in alcohol drinking context.
"I have a very high alcohol tolerance, I will [phrase] you all". Meaning, "You all will get drunk before I do".
outdrink: drink more alcohol than (another person)
outlast: to endure or last longer than.
drink you under the table: to be able to drink more alcohol than someone else.
I will be the last one standing
I have a hollow leg: an ability or inclination to drink large quantities of alcoholic beverages, especially without evident drunkenness.
The word outdrink matches your description perfectly:
It seems to have first appeared in the 1500s, per the OED:
If you're in a bar with a group of scientists, consider: