British Prime Minister Theresa May failed to sway hard-line opponents of her European Union divorce deal on Wednesday with an offer to quit, and Parliament's bid to agree on an alternative fell short, leaving the Brexit process as deadlocked as ever.

May told her Conservative lawmakers she would step down if her Brexit deal was finally passed by Parliament at the third attempt, in a last-ditch bid to win over many of her party's euroskeptic rebels.

But some were unmoved, and the Northern Irish party crucial to getting the agreement through said it would reject the deal again.