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  1. \item Use the DPLL algorithm with \textit{Boolean Constrain Propagation} (\emph{without} 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 $(\lnot f \lor \lnot b \lor \lnot a)$
  4. \item $(\lnot e \lor a \lor \lnot d)$
  5. \item $(\lnot a \lor c \lor b)$
  6. \item $(f \lor \lnot a \lor e)$
  7. \item $(d \lor \lnot a \lor \lnot b)$
  8. \item $(\lnot a \lor \lnot c \lor b)$
  9. \end{dpllCNFInput}