Maybe a tall order, but if someone has it in them to provide a clear and simple explanation of SMT/SAT at the level of an intrigued layman, that'd be amazing. I

Maybe a tall order, but if someone has it in them to provide a clear and simple explanation of SMT/SAT at the level of an intrigued layman, that'd be amazing. I've looked at the Wikipedia pages a few times and always just feel kinda overwhelmed. I'm probably missing the education in formal logic/math to understand why these are fruitful models, but they obviously are. Is this a kind of forefront of artificial reasoning research? What are some examples of problems they can help solve, and approximately what would be involved in modelling those problems within the formalization?