AI already does 'innovative' work in the art field. It makes new images, new things that have not been digitally painted before. I think that making new proofs or new other intellectual things is something that can be solved just by making better models.
Most humans are not intelligent by the GP proposed measure. Whatever happened to the Turing test? It's core concept was the holy grail, the inability to know if you are speaking to a human on the other side of your text messages or not was an unimaginable apex. We have now not only conquered that summit, but blown right past it.
Sentience is a red herring.