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The satisfiability (SAT) problem is known to be NP-complete [3] and plays a central role in many domains such as computer-aided design, computing theory, and artificial intelligence. Generally, a SAT problem is defined as follows. Given a propositional formula with m clauses and n boolean variables, where each variable has value of either True or False. Negation of boolean variable xi is denoted by x i. Each clause Cj has the following form:

A Multilevel Greedy Algorithm for the Satisfiability Problem