If the president doesn't want to deal with a bill and lets it sit for ten days while congress is in session, the bill is sent back to congress dead automatically put into law sent to the supreme court for judicial review

The correct answer is automatically put into law.
The entire process is called 'pocket veto.' It means that the President didn't actually sign the law, but it is nevertheless treated as if he had, which means that the Congress can approve it and enforce it to become an actual law.