Two standard dice are renumbered so that each die is different, but together the pair still gives the same probabilities for rolling sums of 2 to 12 as a standard pair.

If each die is numbered with integers all greater than 0, then what are the numbers on the renumbered dice?

I think life is playing a cruel joke on me this week. After I finally find the errors in "A Point and a Cube", I find out I omitted a line from this puzzle. The missing line is:

__If each die is numbered with integers all greater than 0, then__ what are the numbers on the renumbered dice?

I have petitioned levik to add the missing line.