Its easy to find two sets with these proerties if you can use 1 and 0. But, if you are limited to whole numbers greater than (but NOT equal to) 1, then it becomes near impossible. I don't think there is an easy way to prove, or disporve the idea.
Ultraviolet -- Inf, we've got a job for you. ASUS has been very naughty and we need our lil guy to go do their mom's to teach them if they fuck around, they gon' find out
UndeadStar -- I wonder if that's what happened to me. A returned product (screen) was "officially lost" for a while before being found and refunded. Maybe it would have remained "lost" if I didn't communicate?