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

Conflict in step 5\\
\scalebox{0.75}{

\begin{tikzpicture}[>=latex,line join=bevel,]
  \pgfsetlinewidth{1bp}
%%
\pgfsetcolor{black}
  % Edge: 1 -> 4
  \draw [->] (19.683bp,81.526bp) .. controls (24.978bp,77.19bp) and (32.406bp,71.982bp)  .. (40.0bp,69.5bp) .. controls (51.392bp,65.776bp) and (64.79bp,65.173bp)  .. (85.794bp,66.207bp);
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (54.0bp,77.0bp) node {$$1$$};
  % Edge: 1 -> 5
  \draw [->] (21.965bp,89.912bp) .. controls (42.831bp,92.87bp) and (91.46bp,99.762bp)  .. (129.08bp,105.09bp);
  \draw (54.0bp,103.0bp) node {$$6$$};
  % Edge: 2 -> 4
  \draw [->] (21.909bp,32.194bp) .. controls (33.423bp,34.415bp) and (52.786bp,38.945bp)  .. (68.0bp,46.5bp) .. controls (72.163bp,48.567bp) and (76.339bp,51.274bp)  .. (88.19bp,60.406bp);
  \draw (54.0bp,54.0bp) node {$$1$$};
  % Edge: 4 -> 6
  \draw [->] (108.3bp,67.5bp) .. controls (121.47bp,67.5bp) and (144.58bp,67.5bp)  .. (171.88bp,67.5bp);
  \draw (140.0bp,75.0bp) node {$$7$$};
  % Edge: 5 -> 3
  \draw [->] (150.95bp,104.51bp) .. controls (167.28bp,101.24bp) and (200.03bp,94.694bp)  .. (231.09bp,88.483bp);
  % Edge: 6 -> 3
  \draw [->] (193.67bp,70.723bp) .. controls (201.24bp,73.246bp) and (212.02bp,76.839bp)  .. (231.09bp,83.197bp);
  % Node: 1
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,88.5bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,88.5bp) node {$\lnot b$};
\end{scope}
  % Node: 4
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (97.0bp,67.5bp) ellipse (11.0bp and 11.0bp);
  \draw (97.0bp,67.5bp) node {$c$};
\end{scope}
  % Node: 5
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (140.0bp,106.5bp) ellipse (11.0bp and 11.0bp);
  \draw (140.0bp,106.5bp) node {$\lnot d$};
\end{scope}
  % Node: 2
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,30.5bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,30.5bp) node {$\lnot a$};
\end{scope}
  % Node: 3
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (242.0bp,86.5bp) ellipse (11.0bp and 11.0bp);
  \draw (242.0bp,86.5bp) node {$\bot$};
\end{scope}
  % Node: 6
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (183.0bp,67.5bp) ellipse (11.0bp and 11.0bp);
  \draw (183.0bp,67.5bp) node {$d$};
\end{scope}
%
\end{tikzpicture}


}
\begin{prooftree}
	\AxiomC{$7. \; \lnot c \lor d$}
	\AxiomC{$1. \; a \lor b \lor c$}
	\BinaryInfC{$d \lor a \lor b$}
	\AxiomC{$6. \; b \lor \lnot d$}
	\BinaryInfC{$a \lor b$}
\end{prooftree}

\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{5}
		\dpllStep{6|7|8|9|10}
		\dpllDecL{1|1|1|2|2}
		\dpllAssi{$\lnot a$|$\lnot a, b$|$\lnot a, b, d$|\makecell{$\lnot a, b, d, $ \\ $\lnot c$}|\makecell{$\lnot a, b, d, $ \\ $\lnot c, \lnot e$}}
		\dpllClause{1}{$a, b, c$}{$b, c$|\done|\done|\done|\done}
		\dpllClause{2}{$\lnot a, \lnot b, \lnot c$}{\done|\done|\done|\done|\done}
		\dpllClause{3}{$a, c, \lnot e$}{$c, \lnot e$|$c, \lnot e$|$c, \lnot e$|$\lnot e$|\done}
		\dpllClause{4}{$\lnot b, \lnot c, e$}{$\lnot b, \lnot c, e$|$\lnot c, e$|$\lnot c, e$|\done|\done}
		\dpllClause{5}{$b, e$}{$b, e$|\done|\done|\done|\done}
		\dpllClause{6}{$b, \lnot d$}{$b, \lnot d$|\done|\done|\done|\done}
		\dpllClause{7}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|\done|\done|\done}
		\dpllClause{8}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$\lnot c, e$|\done|\done}
		\dpllClause{9}{$a, b$}{$b$|\done|\done|\done|\done}
		\dpllBCP{$b$| - | - |$\lnot e$| - }
		\dpllPL{ - |$d$| - | - | - }
		\dpllDeci{ - | - |$\lnot c$| - |SAT}
	\end{dplltabular}
}

