Parliament will likely try and rally around one of the alternative plans early next week. If that fails again, then it'll either be looking at revoking or requesting a long extension of Article 50 (remaining in the EU) or a WTO Brexit.
There is also the possibility of a no-confidence vote being carried on the longer this drags out. In that scenario, there will be a general election. That will be interesting in itself because manifestos will come under intense scrutiny and I don't think MPs will be afforded the luxury of being able to go against their party manifestos in the subsequent parliamentary sessions.
There is a Leave.EU Campaign being orchestrated outside Parliament to deselect Conservative MPs who stood on a Brexit manifesto and then moved against it. Dominic Grieve was a casualty yesterday. At the next General Election, he won't be a candidate for his seat unless he runs as an independent. His constituency was mainly for leaving, so he's toast.
In the event of a General Election, I think a stronger Brexit Parliament will be returned, largely due to Remain voters having more options to vote for in a "first past the post" electoral system. Some Remain Conservatives will be deselected and Corbyn (Labour leader) doesn't enjoy the same wave of popularity now that he had at the prior election. Much would depend on the manifestos of both major parties.