After chosing a save slot at the beginning, Silence will save your progress automatically at specific points ingame and after each loading screen. If you want to make sure that your progress is saved before closing Silence, you may just leave the current scene you are in and make sure the loading screen is displayed.
This problem will be fixed in a future update. Please download savegame 23 (Lumi hideout) from our database to continue playing from there on.
Unfortunately, it's not possible to provide savegames for Playstation 4 users, but don't worry. This problem will be fixed in a future update for the Playstation 4 version.