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\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.
\begin{dpllCNFInput}
\item $(\lnot f \lor \lnot b \lor \lnot a)$
\item $(\lnot e \lor a \lor \lnot d)$
\item $(\lnot a \lor c \lor b)$
\item $(f \lor \lnot a \lor e)$
\item $(d \lor \lnot a \lor \lnot b)$
\item $(\lnot a \lor \lnot c \lor b)$
\end{dpllCNFInput}