I once heard someone say...how do you know an alcoholic is lying? Their lips are moving.
So yes ...they lie. A LOT. They like to gaslight also and make you think you are the crazy one. My abf accused me day and night of cheating (he was the one actually cheating I later discovered), also telling me things that were just outrageous and ridiculously false as though I was a dummy and didn't know any better.
You will get to a point where you just don't trust them so what they say no longer impacts your life. It goes in one ear out the other for me now. I use to hang on to a couple of threads, but now I just nod at everything he says. Actions speak volumes. An A's words are useless.