As someone with a PhD in combinatorics, you're aware that it takes only one counterexample to invalidate a conjecture. There's nowhere else to move the goalpos

As someone with a PhD in combinatorics, you're aware that it takes only one counterexample to invalidate a conjecture. There's nowhere else to move the goalposts. You've already stashed them in the far corner of the parking garage down the street from the stadium. If you go any farther you'll leave the school grounds entirely.