Automated Theorem Proving involves various methods and algorithms to derive proofs for logical assertions or mathematical statements. It utilizes techniques from formal logic, model checking, and symbolic computation to ensure that the proofs are both sound (correct) and complete (able to prove any valid assertion). These systems can handle a wide range of logic, including propositional logic and first-order predicate logic. ATP has applications in formal verification of software and hardware, where the correctness of algorithms and systems can be proven mathematically.