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This lecture covers inference engines based on resolution, Horn clauses, filtering, and unification. It explains the concepts of inference without variables, inference with variables, applications, and summarizes the key points. The lecture delves into the importance of inference engines in artificial intelligence, focusing on resolution and chaining methods. It discusses the properties of inference engines, the practical aspects, and examples of resolution. The lecture also explores Horn clauses, Modus Ponens, and the practical application of inference engines. Additionally, it explains the quantification, Skolem functions, and the normalization of logical expressions.