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14 lines
929 B
14 lines
929 B
\item \self Use the DPLL algorithm with conflict-driven clause learning to determine whether or not the set of clauses given is satisfiable. Decide variables in alphabetical order starting with the \textit{negative} phase. For conflicts, draw conflict graphs after the end of the table, and add the learned clause to the table.\\
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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 $\{\lnot a, \lnot b\}$
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\item $\{a, c, e\}$
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\item $\{b, \lnot d\}$
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\item $\{\lnot c, d, e\}$
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\item $\{\lnot d, e\}$
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\item $\{\lnot a, b\}$
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\item $\{a, d, \lnot e\}$
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\end{dpllCNFInput}
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% (not a or not b) and (a or c or e) and (b or not d) and (not c or d or e) and (not d or e) and (not a or b) and (a or d or not e)
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