Sure, but learning and training is still a component, no? If something cannot learn how to solve problems autonomously, how is it intelligent?
I’ve developed “AI” using prolog.
No machine learning, you’re still solving problems using logical reasoning and deduction that’s not intuitively obvious for humans.
An intelligent system is a system that autonomously gathers information accessible to it, learns how to use this information to achieve its terminal goal and uses this skill. Does your prolog “AI” fit this description? Does it “write” its own logic? If yes, then it is intelligent. If no, then it is no different than some random non intelligent computer program.