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

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

\begin{tikzpicture}[>=latex,line join=bevel,]
  \pgfsetlinewidth{1bp}
%%
\pgfsetcolor{black}
  % Edge: 1 -> 3
  \draw [->] (22.223bp,55.0bp) .. controls (50.414bp,55.0bp) and (129.66bp,55.0bp)  .. (177.75bp,55.0bp);
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (100.0bp,62.5bp) node {$$1$$};
  % Edge: 1 -> 4
  \draw [->] (18.027bp,46.114bp) .. controls (23.074bp,39.428bp) and (30.901bp,30.65bp)  .. (40.0bp,26.0bp) .. controls (66.949bp,12.229bp) and (102.57bp,9.9572bp)  .. (134.8bp,10.34bp);
  \draw (54.0bp,33.5bp) node {$$5$$};
  % Edge: 1 -> 5
  \draw [->] (21.311bp,59.709bp) .. controls (35.439bp,66.854bp) and (62.567bp,80.574bp)  .. (89.756bp,94.325bp);
  \draw (54.0bp,90.5bp) node {$$8$$};
  % Edge: 3 -> 2
  \draw [->] (199.16bp,50.341bp) .. controls (207.09bp,46.306bp) and (218.8bp,40.346bp)  .. (237.68bp,30.744bp);
  % Edge: 4 -> 2
  \draw [->] (156.95bp,12.493bp) .. controls (173.2bp,14.93bp) and (205.73bp,19.81bp)  .. (237.09bp,24.513bp);
  % Edge: 5 -> 3
  \draw [->] (110.31bp,94.291bp) .. controls (124.44bp,87.146bp) and (151.57bp,73.426bp)  .. (178.76bp,59.675bp);
  \draw (146.0bp,90.5bp) node {$$1$$};
  % Node: 1
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,55.0bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,55.0bp) node {$\lnot a$};
\end{scope}
  % Node: 3
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (189.0bp,55.0bp) ellipse (11.0bp and 11.0bp);
  \draw (189.0bp,55.0bp) node {$\lnot d$};
\end{scope}
  % Node: 4
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (146.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
  \draw (146.0bp,11.0bp) node {$d$};
\end{scope}
  % Node: 5
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (100.0bp,99.0bp) ellipse (11.0bp and 11.0bp);
  \draw (100.0bp,99.0bp) node {$\lnot b$};
\end{scope}
  % Node: 2
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (248.0bp,26.0bp) ellipse (11.0bp and 11.0bp);
  \draw (248.0bp,26.0bp) node {$\bot$};
\end{scope}
%
\end{tikzpicture}


}
\begin{prooftree}
	\AxiomC{$1. \; b \lor \lnot d \lor a$}
	\AxiomC{$5. \; a \lor d$}
	\BinaryInfC{$b \lor a$}
	\AxiomC{$8. \; a \lor \lnot b$}
	\BinaryInfC{$a$}
\end{prooftree}

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

