Would this sorting puzzle game be fun, challenging, and/or educational?

Question

Here's the idea: given a randomly generated partial order, turn it into a total order using as few pairwise comparisons as possible.To make a comparison, select two nodes and the partial order will update itself based on which node is larger.Think of it like "sorting" when you don&rsquo;t know all the relationships yet.Note that the distinct numbers being sorted would be hidden. That is, all the nodes in the partial order would look the same.Would this sorting game be fun, challenging, and/or educational?

jones1618 · Accepted Answer

The rule that stops this cold for me is: "Note that the distinct numbers being sorted would be hidden. That is, all the nodes in the partial order would look the same."
So, you point to two random nodes and watch them sort? Do you see the "hidden" numbers after they are sorted?
As is, that sounds boring and "random" in the way my sons use that term, without purpose or reason.
If you had more in mind, please describe exactly what the player sees before and after they select two nodes.