Questionnaire-2024/sat_solvers_dpll/0026_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{ - |$\lnot a$|$\lnot a, \lnot b$|$\lnot a, \lnot b, c$|\makecell{$\lnot a, \lnot b, c, $ \\ $d$}|\makecell{$\lnot a, \lnot b, c, $ \\ $d, \lnot e$}}
		\dpllClause{1}{$a, b, c$}{$a, b, c$|$b, c$|$c$|\done|\done|\done}
		\dpllClause{2}{$\lnot a, b$}{$\lnot a, b$|\done|\done|\done|\done|\done}
		\dpllClause{3}{$\lnot b, c$}{$\lnot b, c$|$\lnot b, c$|\done|\done|\done|\done}
		\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|$\lnot c, d$|$d$|\done|\done}
		\dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$\lnot c, e$|$e$|$e$|\conflict}
		\dpllClause{6}{$\lnot d, \lnot e$}{$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot e$|\done}
		\dpllBCP{ - | - |$c$|$d$|$\lnot e$| - }
		\dpllPL{ - | - | - | - | - | - }
		\dpllDeci{$\lnot a$|$\lnot b$| - | - | - | - }
	\end{dplltabular}
}

Conflict in step 6\\
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%%
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\end{scope}
%
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}
\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{4}
		\dpllStep{7|8|9|10}
		\dpllDecL{0|0|0|0}
		\dpllAssi{ - |$\lnot c$|$\lnot c, \lnot b$|$\lnot c, \lnot b, \lnot a$}
		\dpllClause{1}{$a, b, c$}{$a, b, c$|$a, b$|$a$|\conflict}
		\dpllClause{2}{$\lnot a, b$}{$\lnot a, b$|$\lnot a, b$|$\lnot a$|\done}
		\dpllClause{3}{$\lnot b, c$}{$\lnot b, c$|$\lnot b$|\done|\done}
		\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|\done|\done|\done}
		\dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|\done|\done|\done}
		\dpllClause{6}{$\lnot d, \lnot e$}{$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$}
		\dpllClause{7}{$\lnot c$}{$\lnot c$|\done|\done|\done}
		\dpllBCP{$\lnot c$|$\lnot b$|$\lnot a$| - }
		\dpllPL{ - | - | - | - }
		\dpllDeci{ - | - | - |UNSAT}
	\end{dplltabular}
}

Conflict in step 10\\
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%
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}