Questionnaire-2024/sat_solvers_dpll/1020_sol.tex

\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{6}
		\dpllStep{1|2|3|4|5|6}
		\dpllDecL{0|1|1|2|2|2}
		\dpllAssi{ - |$\lnot a$|$\lnot a, b$|$\lnot a, b, \lnot c$|\makecell{$\lnot a, b, \lnot c, $ \\ $e$}|\makecell{$\lnot a, b, \lnot c, $ \\ $e, d$}}
		\dpllClause{1}{$\lnot a, \lnot b$}{$\lnot a, \lnot b$|\done|\done|\done|\done|\done}
		\dpllClause{2}{$a, c, e$}{$a, c, e$|$c, e$|$c, e$|$e$|\done|\done}
		\dpllClause{3}{$b, \lnot d$}{$b, \lnot d$|$b, \lnot d$|\done|\done|\done|\done}
		\dpllClause{4}{$\lnot c, d, e$}{$\lnot c, d, e$|$\lnot c, d, e$|$\lnot c, d, e$|\done|\done|\done}
		\dpllClause{5}{$\lnot d, e$}{$\lnot d, e$|$\lnot d, e$|$\lnot d, e$|$\lnot d, e$|\done|\done}
		\dpllClause{6}{$\lnot a, b$}{$\lnot a, b$|\done|\done|\done|\done|\done}
		\dpllClause{7}{$a, d, \lnot e$}{$a, d, \lnot e$|$d, \lnot e$|$d, \lnot e$|$d, \lnot e$|$d$|\done}
		\dpllBCP{ - | - | - |$e$|$d$| - }
		\dpllPL{ - |$b$| - | - | - | - }
		\dpllDeci{$\lnot a$| - |$\lnot c$| - | - |SAT}
	\end{dplltabular}
}