A logical extreme based on Can congress be sued for prolonging the nomination of a Supreme Court Justice?. First suppose Congress cannot be sued from prolonging the nomination of a Supreme Court Justice. Next suppose there's 50 years of gridlock, in which the party majority of Congress refuses to approve any of the opposing party President's Supreme Court nominations. Last suppose that over the course of that 50 years, every living Supreme Court justice retires or dies.
Unlikeliness aside, is this theoretically possible, or does some legal mechanism prevent it?