Hello, JS.
If you wanted to demonstrate that antidepressants don't work, you'd take a variety of psychoactive drugs and drink alcohol, with brief periods of abstinence, while taking them. Even longer periods of abstinence would nullify the effects of virtually all antidepressants, if only because your brain and nervous system are undergoing dramatic adjustments while not using or drinking.
It's like dropping a fishing line into a whirlpool and expecting to catch something.
I don't know whether or not you've been completely honest with your doctor, but if you are, then it may be time to seek a second opinion.