My advisor wants me to reinvent the wheel
The issue seems to be that your advisor isn't willing to acknowledge that the problems he's attempting to work on have been solved. I would recommend bringing the relevant papers to him and discussing with him how his proposed projects differ from what already exists in the literature. This way, either (1) he'll clarify how his projects are different from the literature, or (2) you may be able to demonstrate to him that the problem is indeed solved.