Double Resignation

One of the stranger incidents in my arbiting career occurred during the NSW Open last weekend. During one game there was a dispute over whether a player had said "adjust" before touching a piece or not. Anyone who has been involved in schools/junior chess knows how hard these cases can be, but in this case it was between to adult players. If the touched pawn was moved then it would be a pretty easy win for the opponent, while if not, then the ending was still difficult.
As there were no witnesses, no action could be taken, apart from warning the player to make it "very" clear when he was adjusting a piece, and to make sure when adjusting it it doesn't first move to another square (this was part of the first players claim).
After a few more moves the claimant approached me and told me he wished to resign the game, as he felt he could not continue playing under the circumstances. While I sympathised with him, I did tell me that resignation was final, which he accepted. Having then walked away, the opponent then approached me, saying that he would be willing to resign the game, as he did not want to upset his opponent. I told him that it was (un)fortunately too late as his opponent had got in first!
Someone did suggest a double loss could be recorded, but I ruled that out, as the game was officially over when the first player informed me of his resignation.