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110 lines
4.2 KiB
110 lines
4.2 KiB
\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{5}
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\dpllStep{12|13|14|15|16}
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\dpllDecL{0|0|0|0|0}
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\dpllAssi{ - |$a$|$a, \lnot e$|$a, \lnot e, b$|\makecell{$a, \lnot e, b, $ \\ $\lnot d$}}
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\dpllClause{1}{$\lnot b, d, e$}{$\lnot b, d, e$|$\lnot b, d, e$|$\lnot b, d$|$d$|\conflict}
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\dpllClause{2}{$b, e$}{$b, e$|$b, e$|$b$|\done|\done}
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\dpllClause{3}{$c, d$}{$c, d$|$c, d$|$c, d$|$c, d$|$c$}
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\dpllClause{4}{$\lnot a, \lnot e$}{$\lnot a, \lnot e$|$\lnot e$|\done|\done|\done}
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\dpllClause{5}{$a, \lnot c, \lnot e$}{$a, \lnot c, \lnot e$|\done|\done|\done|\done}
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\dpllClause{6}{$c, \lnot d$}{$c, \lnot d$|$c, \lnot d$|$c, \lnot d$|$c, \lnot d$|\done}
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\dpllClause{7}{$\lnot b, \lnot d$}{$\lnot b, \lnot d$|$\lnot b, \lnot d$|$\lnot b, \lnot d$|$\lnot d$|\done}
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\dpllClause{8}{$a, b$}{$a, b$|\done|\done|\done|\done}
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\dpllClause{9}{$a$}{$a$|\done|\done|\done|\done}
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\dpllBCP{$a$|$\lnot e$|$b$|$\lnot d$| - }
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\dpllPL{ - | - | - | - | - }
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\dpllDeci{ - | - | - | - |UNSAT}
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\end{dplltabular}
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}
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Conflict in step 16\\
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\scalebox{0.75}{
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\begin{tikzpicture}[>=latex,line join=bevel,]
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\pgfsetlinewidth{1bp}
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%%
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\pgfsetcolor{black}
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% Edge: 0 -> 6
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\draw [->] (1.0536bp,56.0bp) .. controls (2.5071bp,56.0bp) and (33.188bp,56.0bp) .. (64.696bp,56.0bp);
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (33.0bp,63.5bp) node {$$9$$};
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% Edge: 2 -> 1
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\draw [->] (350.67bp,47.438bp) .. controls (358.41bp,44.585bp) and (369.51bp,40.495bp) .. (388.47bp,33.51bp);
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% Edge: 3 -> 2
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\draw [->] (261.98bp,34.18bp) .. controls (275.88bp,37.215bp) and (301.36bp,42.779bp) .. (329.14bp,48.846bp);
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\draw (297.0bp,51.5bp) node {$$1$$};
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% Edge: 3 -> 5
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\draw [->] (261.33bp,27.798bp) .. controls (267.39bp,25.214bp) and (275.54bp,22.021bp) .. (283.0bp,20.0bp) .. controls (294.71bp,16.83bp) and (308.12bp,14.627bp) .. (328.95bp,11.971bp);
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\draw (297.0bp,27.5bp) node {$$7$$};
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% Edge: 4 -> 2
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\draw [->] (172.41bp,59.835bp) .. controls (177.76bp,61.808bp) and (184.64bp,64.004bp) .. (191.0bp,65.0bp) .. controls (214.93bp,68.751bp) and (267.64bp,72.391bp) .. (311.0bp,63.0bp) .. controls (314.2bp,62.306bp) and (317.5bp,61.244bp) .. (329.96bp,55.925bp);
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\draw (251.0bp,75.5bp) node {$$1$$};
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% Edge: 4 -> 3
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\draw [->] (172.98bp,53.247bp) .. controls (186.94bp,49.395bp) and (212.6bp,42.318bp) .. (240.14bp,34.721bp);
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\draw (205.0bp,55.5bp) node {$$2$$};
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% Edge: 5 -> 1
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\draw [->] (350.67bp,14.223bp) .. controls (358.24bp,16.746bp) and (369.02bp,20.339bp) .. (388.09bp,26.697bp);
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% Edge: 6 -> 4
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\draw [->] (87.3bp,56.0bp) .. controls (100.47bp,56.0bp) and (123.58bp,56.0bp) .. (150.88bp,56.0bp);
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\draw (119.0bp,63.5bp) node {$$4$$};
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% Node: 6
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (76.0bp,56.0bp) ellipse (11.0bp and 11.0bp);
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\draw (76.0bp,56.0bp) node {$a$};
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\end{scope}
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% Node: 1
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (399.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
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\draw (399.0bp,30.0bp) node {$\bot$};
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\end{scope}
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% Node: 2
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (340.0bp,51.0bp) ellipse (11.0bp and 11.0bp);
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\draw (340.0bp,51.0bp) node {$d$};
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\end{scope}
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% Node: 3
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (251.0bp,32.0bp) ellipse (11.0bp and 11.0bp);
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\draw (251.0bp,32.0bp) node {$b$};
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\end{scope}
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% Node: 5
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (340.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
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\draw (340.0bp,11.0bp) node {$\lnot d$};
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\end{scope}
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% Node: 4
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (162.0bp,56.0bp) ellipse (11.0bp and 11.0bp);
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\draw (162.0bp,56.0bp) node {$\lnot e$};
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\end{scope}
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%
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\end{tikzpicture}
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}
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\begin{prooftree}
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\AxiomC{$1. \; \lnot b \lor d \lor e$}
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\AxiomC{$7. \; \lnot b \lor \lnot d$}
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\BinaryInfC{$\lnot b \lor e$}
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\AxiomC{$2. \; b \lor e$}
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\BinaryInfC{$e$}
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\AxiomC{$4. \; \lnot a \lor \lnot e$}
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\BinaryInfC{$\lnot a$}
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\AxiomC{$9. \; a$}
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\BinaryInfC{$\bot$}
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\end{prooftree}
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