Yes, the phrase is "That doesn't wash with me." It is very informal though. In the 1800's this phrase was used to describe bad fabric that would fade or fall apart when being washed. Eventually, they started using it to mean other things that would fall apart.

Thanks Randall. I live in UK and I saw it on the internet. postet by one Londoner. I'll speak to native Briton about it. ta

Hi Bartek, I don't doubt that Cyris is correct. But just so you know, I don't think I have ever heard that phrase in my life. I would certainly never use it. Maybe other English speakers will disagree with me, but that phrase seems like something my grandparents would say... not one of my friends. Anyways, I just wanted you to have a sense of how that phrase sounds to a native speaker. Best of luck!