British Prime Minister Theresa May has failed to sway hardline opponents of her European Union divorce deal with an offer to quit, but parliament's bid to agree an alternative has fallen 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 eurosceptic rebels.
But some were unmoved and the Northern Irish party crucial to getting the agreement through said it would reject the deal again.
Britain was supposed to leave the bloc on Friday but Brussels agreed last week to put back the divorce date until April 12 to give it a chance to resolve a three-year crisis that has split the country.
However, it still remains uncertain how, when or even whether the UK, the world's fifth-biggest economy, will leave the EU.
An attempt by parliament to take control of the process by holding a series of indicative votes on other options produced no immediate way through the impasse.
None of the proposals, many of which involved closer alignment with the EU than May envisages, won the support of a majority of lawmakers.
Some proposals fared better than May's deal had done two weeks ago, and parliament was due to hold more indicative votes on Monday after refining the options most likely to secure a majority.
Many Conservative eurosceptics had made clear they would only consider supporting May's deal if she gave a firm commitment to resign, hoping a new leader would be more sympathetic to their views when negotiating the terms of Britain's future relationship with the EU.
"I have heard very clearly the mood of the parliamentary party," May told a meeting of Conservative lawmakers (MPs).
"I know there is a desire for a new approach - and new leadership - in the second phase of the Brexit negotiations - and I won't stand in the way of that."
But within hours of May's offer, the Democratic Unionist Party, which props up her minority government, said it would vote against the deal if May brought it back a third time.
"We're in a situation where we cannot sign up to the Withdrawal Agreement," DUP leader Arlene Foster said.
The government gave itself the option of bringing May's deal back to parliament on Friday, although speaker John Bercow repeated his warning that he would not allow a third vote unless the motion had changed substantially since its last defeat.
If May's deal were to pass, her office said there would be a contest to replace her after May 22, when Britain would leave the EU.
Most voters think the Brexit negotiation has been handled badly and there may now be a slight majority for staying in the EU, recent polls suggest.
