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12 lines
709 B
12 lines
709 B
\item Use the DPLL algorithm with no explicit heuristics to determine whether or not the set of clauses given is satisfiable. Decide variables in alphabetical order starting with the \textit{negative} phase.\\
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If the set of clauses resulted in \texttt{SAT}, give a satisfying model. If the set of clauses resulted in \texttt{UNSAT}, give a resolution proof that shows that the conjunction of the clauses from the table is unsatisfiable.
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\begin{dpllCNFInput}
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\item (a \lor b \lor c)
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\item (\lnot a \lor \lnot b)
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\item (\lnot a \lor \lnot c)
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\item (b \lor \lnot c)
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\item (\lnot b \lor c)
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\end{dpllCNFInput}
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% (a or b or c) and (not a or not b) and (not a or not c) and (b or not c) and (not b or c)
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