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  1. \item \self Use the DPLL algorithm (\emph{without} BCP, PL and clause learning) to determine whether or not the set of clauses given is satisfiable. Decide variables in alphabetical order starting with the \textit{positive} phase. If the set of clauses resulted in \texttt{SAT}, give a satisfying model.
  2. \begin{dpllCNFInput}
  3. \item $(\lnot a \lor b \lor \lnot c)$
  4. \item $(a \lor \lnot b \lor c)$
  5. \item $(\lnot a \lor \lnot b \lor c)$
  6. \item $(a \lor b \lor \lnot c)$
  7. \end{dpllCNFInput}
  8. % (not a or b or not c) and ( a or not b or c) and (not a or not b or c) and (a or b or not c)