Nope, you lost
The only way around these sort of faux-moral issues is to either agree and quickly move away from the topic, or preferably ignore it and move away from the topic. The moment you said "your logic is so twisted" and started a logical debate, you started to loose.
A load of guys are probably about to jump in and say my first point is wrong. That you can't agree with her because this is a test. That you will be buying into her frame. If anyone says that, they clearly don't actually go out and talk to girls. The far more important thing is to get off the topic and back onto talking about stuff between you and her. But engaging logically - by pushing against her statement and getting into an argument, means you loose the girl whether you win or loose the argument. Your goal isn't to win the argument. Your goal is to get the girl. Therefore you have to focus on getting away from the argument as quick as you can.
As soon as you start arguing, you loose.