Identify game with 'Cataclysm cards and Sin cards' based on game end rules
I could google the game: Its called "7".

Googling the first sentence of the second paragraph, I found the rule book. It does, for some strange reason, not contain the game name written anywhere. (The pdf was called "7_Rulebook_english.pdf", but I did not get that hint ;) )

However, at the end of the rules, it states the game designer, and googling him led me to boardgamegeek. 

So, here you go:
https://boardgamegeek.com/boardgame/53376/7
https://tesera.ru/images/items/69366/7_Rulebook_English.pdf

Edit: Okay, the rulebook starts with the logo of the game, that includes a 7. I just did not get that thats the game name :D