I don't see how my non-existence gets implied. Why isn't a plan to take the money either a plan that will fail to work (you're arm won't respond to your brain's commands, you'll die, you'll tunnel to the Moon etc.) or a plan that would imply Omega was wrong and shouldn't have made the offer?

My existence is already posited one you've said that Omega has offered me this deal. What happens after that bears on whether or not Omega is correct and what properties I have (i.e. what I am).

There exists (x) &e there exists (y) such that Ox & Iy & ($xy <--> N$yx)

Where O= is Omega, I= is me, $= offer one dollar to, N$= won't take dollar from. I don't see how one can take that, add new information, and conclude ~ there exists (y).