The Second Law of Thermodynamics - Heat Death

According to the second law of thermo dynamics, inner closed system is irreversible process. In thithis instance, you will arrive at heat death in a finite amount of time,. However, the atheist holds that the universe has always been ond right? Bcause there isn't anything beyond it. The universe is all there is. So the universe has been here for an infinite amount of time. Clearly, the only thing that can account for all this is that the universe is not infinite.