Events like the Holocaust show that God doesn't exist

I am arguing for this statement. God is dead. If there were a God, "God" would surely have prevented the Holocaust. Since God did not prevent it, then God as traditionally understood either does not exist or has changed in some way. For some this means that God has abandoned them, while for others it means God never did exist. A piece of evidence to support this is that the dictionary definition of God is image, person or thing that is worshipped and is all-powerful, all-knowing and all-good. The holocaust wasn't all good and God didn't intervene. Therefore, the idea of God, seems irrational. Jews must be in the world for themselves. And the suffering may mean a turn to atheism or perhaps a turn to some more like pantheism. Therefore events like the holocaust show that God can't exist. I am arguing against this statement. Terrible events such as the Holocaust are the price we have to pay for having free will. Some people think that God let the holocaust happen because God didn't cause it, our bad human choices did, and we have to pay for having free will. Others say the reason why God didn't interfere was because God will not and cannot interfere with history, otherwise our free will, would effectively cease to exist. A piece of evidence to support this, is Eliezer Berkovits. He stresses that God is all-powerful but that he curtails his own freedom to respect human freedom, even with such horrific consequences. This shows that there is no reason why events like the holocaust show that God doesn't exist, therefore so the statement made must be invalid.