I think the goal of no unemployment is a false one. The real goal has to be no poverty. Employment is only important because it provides people with an income that saves them from poverty (or at least should; too many jobs still pay poverty wages).
If a society had a basic income for everybody, the unemployed wouldn't be poor, and would still be available for work if the demand for extra labour was high enough.
Although ultimately, I do think that eventually automation should lead to less people having to work. Or perhaps preferably: people having to work less; we should also get rid of the 40+ hour work week, so we can divide the available work more equally, while also making sure everybody has enough time to enjoy the fruits of their labour.
And part-time work also provides the needed slack in the system without condemning anyone to poverty.