Questionnaire-2024/sat_solvers_dpll/0046_sol.tex

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

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

\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{2}
		\dpllStep{8|9}
		\dpllDecL{2|3}
		\dpllAssi{$\lnot a, \lnot b$|$\lnot a, \lnot b, c$}
		\dpllClause{1}{$\lnot a, \lnot b$}{\done|\done}
		\dpllClause{2}{$c, \lnot d$}{$c, \lnot d$|\done}
		\dpllClause{3}{$a, \lnot b$}{\done|\done}
		\dpllClause{4}{$c, d$}{$c, d$|\done}
		\dpllBCP{ - | - }
		\dpllPL{ - | - }
		\dpllDeci{$c$|SAT}
	\end{dplltabular}
}