\hspace{-0.09cm}\scalebox{0.85}{ \begin{dplltabular}{5} \dpllStep{12|13|14|15|16} \dpllDecL{0|0|0|0|0} \dpllAssi{ - |$a$|$a, b$|$a, b, c$|\makecell{$a, b, c, $ \\ $\lnot d$}} \dpllClause{1}{$\lnot a, \lnot d$}{$\lnot a, \lnot d$|$\lnot d$|$\lnot d$|$\lnot d$|\done} \dpllClause{2}{$a, b, c$}{$a, b, c$|\done|\done|\done|\done} \dpllClause{3}{$\lnot a, b$}{$\lnot a, b$|$b$|\done|\done|\done} \dpllClause{4}{$\lnot b, c$}{$\lnot b, c$|$\lnot b, c$|$c$|\done|\done} \dpllClause{5}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|$\lnot c, d$|$d$|\conflict} \dpllClause{6}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$\lnot c, e$|$e$|$e$} \dpllClause{7}{$\lnot d, \lnot e$}{$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|\done} \dpllClause{8}{$a, b$}{$a, b$|\done|\done|\done|\done} \dpllClause{9}{$a$}{$a$|\done|\done|\done|\done} \dpllBCP{$a$|$b$|$c$|$\lnot d$| - } \dpllPL{ - | - | - | - | - } \dpllDeci{ - | - | - | - |UNSAT} \end{dplltabular} } Conflict in step 16\\ \scalebox{0.75}{ \begin{tikzpicture}[>=latex,line join=bevel,] \pgfsetlinewidth{1bp} %% \pgfsetcolor{black} % Edge: 0 -> 6 \draw [->] (1.0536bp,31.0bp) .. controls (2.5071bp,31.0bp) and (33.188bp,31.0bp) .. (64.696bp,31.0bp); \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (33.0bp,38.5bp) node {$$9$$}; % Edge: 2 -> 1 \draw [->] (216.0bp,49.131bp) .. controls (240.99bp,46.927bp) and (308.17bp,40.812bp) .. (364.0bp,34.0bp) .. controls (366.51bp,33.694bp) and (369.14bp,33.349bp) .. (381.9bp,31.544bp); % Edge: 3 -> 4 \draw [->] (173.3bp,11.0bp) .. controls (186.47bp,11.0bp) and (209.58bp,11.0bp) .. (236.88bp,11.0bp); \draw (205.0bp,18.5bp) node {$$4$$}; % Edge: 4 -> 5 \draw [->] (259.3bp,11.0bp) .. controls (272.47bp,11.0bp) and (295.58bp,11.0bp) .. (322.88bp,11.0bp); \draw (291.0bp,18.5bp) node {$$5$$}; % Edge: 5 -> 1 \draw [->] (344.67bp,14.223bp) .. controls (352.24bp,16.746bp) and (363.02bp,20.339bp) .. (382.09bp,26.697bp); % Edge: 6 -> 2 \draw [->] (86.965bp,32.491bp) .. controls (107.83bp,35.613bp) and (156.46bp,42.888bp) .. (194.08bp,48.516bp); \draw (119.0bp,46.5bp) node {$$1$$}; % Edge: 6 -> 3 \draw [->] (85.22bp,24.026bp) .. controls (90.504bp,19.994bp) and (97.72bp,15.28bp) .. (105.0bp,13.0bp) .. controls (116.44bp,9.4177bp) and (129.84bp,8.8202bp) .. (150.82bp,9.7781bp); \draw (119.0bp,20.5bp) node {$$3$$}; % Node: 6 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (76.0bp,31.0bp) ellipse (11.0bp and 11.0bp); \draw (76.0bp,31.0bp) node {$a$}; \end{scope} % Node: 1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (393.0bp,30.0bp) ellipse (11.0bp and 11.0bp); \draw (393.0bp,30.0bp) node {$\bot$}; \end{scope} % Node: 2 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (205.0bp,50.0bp) ellipse (11.0bp and 11.0bp); \draw (205.0bp,50.0bp) node {$\lnot d$}; \end{scope} % Node: 3 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (162.0bp,11.0bp) ellipse (11.0bp and 11.0bp); \draw (162.0bp,11.0bp) node {$b$}; \end{scope} % Node: 4 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (248.0bp,11.0bp) ellipse (11.0bp and 11.0bp); \draw (248.0bp,11.0bp) node {$c$}; \end{scope} % Node: 5 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (334.0bp,11.0bp) ellipse (11.0bp and 11.0bp); \draw (334.0bp,11.0bp) node {$d$}; \end{scope} % \end{tikzpicture} } \begin{prooftree} \AxiomC{$5. \; \lnot c \lor d$} \AxiomC{$4. \; \lnot b \lor c$} \BinaryInfC{$d \lor \lnot b$} \AxiomC{$1. \; \lnot a \lor \lnot d$} \BinaryInfC{$\lnot b \lor \lnot a$} \AxiomC{$3. \; \lnot a \lor b$} \BinaryInfC{$\lnot a$} \AxiomC{$9. \; a$} \BinaryInfC{$\bot$} \end{prooftree}