Questionnaire-2024/sat_solvers_dpll/0029_sol.tex

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