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14 lines
767 B
14 lines
767 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)
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\item (\lnot a \lor c)
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\item (\lnot b \lor \lnot c)
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\item (c \lor d)
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\item (\lnot d \lor \lnot a)
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\item (b \lor \lnot d)
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\item (\lnot c \lor \lnot d)
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\end{dpllCNFInput}
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% (a or b) and (not a or c) and (not b or not c) and (c or d) and (not d or not a) and (b or not d) and (not c or not d)
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