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.
hah yeah in the past that might've been up my alley. haven't really been mapping lately, been too busy with everything else. and kinda lost interest too tbh. just not enough people left on SC to feel worth investing the time personally.