Questionnaire-2024/sat_solvers_dpll/0030_sol.tex

\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{6}
		\dpllStep{1|2|3|4|5|6}
		\dpllDecL{0|0|0|0|1|1}
		\dpllAssi{ - |$a$|$a, \lnot d$|$a, \lnot d, e$|\makecell{$a, \lnot d, e, $ \\ $b$}|\makecell{$a, \lnot d, e, $ \\ $b, \lnot c$}}
		\dpllClause{1}{$\lnot c, \lnot d$}{$\lnot c, \lnot d$|$\lnot c, \lnot d$|\done|\done|\done|\done}
		\dpllClause{2}{$a, \lnot d, \lnot e$}{$a, \lnot d, \lnot e$|\done|\done|\done|\done|\done}
		\dpllClause{3}{$e, \lnot c$}{$e, \lnot c$|$e, \lnot c$|$e, \lnot c$|\done|\done|\done}
		\dpllClause{4}{$c, b$}{$c, b$|$c, b$|$c, b$|$c, b$|\done|\done}
		\dpllClause{5}{$\lnot b, \lnot c$}{$\lnot b, \lnot c$|$\lnot b, \lnot c$|$\lnot b, \lnot c$|$\lnot b, \lnot c$|$\lnot c$|\done}
		\dpllClause{6}{$a, b$}{$a, b$|\done|\done|\done|\done|\done}
		\dpllBCP{ - | - | - | - |$\lnot c$| - }
		\dpllPL{$a$|$\lnot d$|$e$| - | - | - }
		\dpllDeci{ - | - | - |$b$| - |SAT}
	\end{dplltabular}
}