I've tried everything, but always so afraid of slashing my eye open.
I was able to do it once or twice using one finger (not two).
My sister, who has medium length nails and she just press on it, pushes it down until it bends enough to lose suction on the eye and pops right off delicately being picked up the finger's end. It takes practice I suppose but she does it very quick. Me, like I said, I'm so afraid that I can't really do it.
So, I just chopped off all my fingernails to a few mm.