Presumably if robots ever become that productive there will be no need for most people to work, since the robots will produce plenty of goods for everyone. Jobs are not an end unto themselves. Work is required to consume only because of scarcity. In the world you're imagining, that won't exist for most of the things people need to live. So it will be provided for free.
Somebody will own those robots and their output. Either robot owners will have to give away goods, or the government will have to forcibly redistribute it for your conclusion to hold. I actually don't think either of those are very unlikely, but it's still going to be a major change that makes the current political discourse about "socialism" seem quite trivial.
