(Common) Lisp is a multi-paradign language. It doesn't have any specific logic programming features, no more than any other generic language. Some lisps tend to lean towards functional paradigm. EDIT: OK, maybe Lisps' symbol type helps a bit on logic or AI but there's no built-in resolution algorithm like in Prolog.

But Prolog is really something different. I only know some basic ideas but definitely want to dig deeper in the future.