Theorem: When a collection of trolls claim to be mutually trolling each other, none of them are trolling.

Proof: Assume party A is trolling party B, and that party B is simultaneously trolling party A. Then if they're both taking the bait, it implies that neither one is avoiding bait, and hence both are arguing genuinely and hence neither are actually trolling each other. Conversely, if neither party is taking the bait, then both are merely talking over each other and again neither party is trolling but rather genuinely arguing. Thus we arrive at the Troll's Dilemma: if two parties claim to be mutually trolling each other, then neither is trolling the other and both are genuinely arguing with each other.