Vicious Cycles

When the Titans rose once again and usurped power from their disobedient children, the punishment was sure to fit the crime. Forcing the Olympian gods and goddesses to live mortal lives, the group of deities were cursed. Cursed to not only live one mortal life, but live over and over again, each time the knowledge of everything they once had torn from them by death. Each time a god or goddess discovered their true identity, shortly after, they met their death, and would be born once again, cursed to live yet another mortal life, all leading up to their repeated untimely demise. That is until the cycle is broken. Question now remains, how can the cycle be broken when everything they remember who they are, they die?