I don't know, but it is highly possible that they would never lose that war. Why? Because the Empire had enough advantage to hold off the Alliance of Free planets. It had a larger population, almost twice the size of the Alliance. It can concentrate their effort better than the Alliance because its absolute rule. It was larger than AFP and a huge country like that is impossible to conquer like the Russia of another time. Its armed force were more loyal and more eager to go offensive for glory, or willing to die for it. We hadn't seen any Empire defector in the story. With the above advantage the Empire got an upper hand on the Alliance all the time. It only amused me that they never concentrated their effort and send a huge fleet to get the AFP before Reinhard did.