In college I was part of the cult of Alfred the Duck. It was a religion with five or so members, formed when our founder decided to take False as an axiom, and also drew a little picture of a duck. Using the holy T=F axiom, it's easy to prove that Alfred the Duck knows all and sees all, and that everything both exists and doesn't exist. It actually worked pretty well as a religion. (There was also something about welcoming alien invaders, but I think that was a different religion.)

That seems to be a practical accomplishment of trivialist philosophy.