It's all there, right in the document the president and each Senator swore an oath before God to support. The president serves for four years. Nothing in the Constitution says, implies, or suggests that the president's duties are abrogated, suspended, stopped, stripped away or limited in the fourth year of his term — or her term, should a woman be elected. Obama's oath of office requires him to nominate a Supreme Court justice. It's that simple: he shall nominate someone to fill the seat