The Satisfiability Problem (often abbreviated as SAT) is a fundamental question in computer science and mathematical logic. It asks whether there exists an assignment of truth values (true or false) to variables in a logical formula such that the entire formula evaluates to true. This problem is crucial in various fields, including artificial intelligence, optimization, and circuit design. SAT is the first problem that was proven to be NP-complete, meaning that if a solution can be verified quickly, finding that solution may not be efficient. Many algorithms and techniques, such as DPLL and CDCL, have been developed to tackle SAT, making it a central topic in computational theory and practical applications.