Prolog (and logic programming in general) is much older than you think. In fact, if we take modern functional programming to have been born with John Backus' Turing Award presentation[1], then it even predates it.
Many advancements to functional programming were implemented on top of Prolog! Erlang's early versions were built on top of a Prolog-derived language who's name escapes me. It's the source of Erlang's unfamiliar syntax for more unlearned programmers. It's very much like writing Prolog if you had return values and no cuts or complex terms.
As for penetrating general use, probably not without a major shift in the industry. But it's a very popular language just on the periphery, even to this day.