stalemate
n. C / Un. a situation where neither side in an argument or competition can win or make progress. It is like a tie where everyone is stuck and nothing more can happen.
n. a situation in which further action or progress by opposing parties seems impossible. In chess, it refers specifically to a position where the player whose turn it is to move is not in check but has no legal move.
The peace talks ended in a stalemate.
After weeks of intense negotiations, the union and the management reached a stalemate over the proposed salary increases.
The geopolitical conflict has devolved into a bitter stalemate, with both nations unwilling to concede territory yet lacking the military resources to achieve a decisive victory.
From stale + mate.
Often used with the verbs 'reach', 'end in', or 'break'.