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95 lines
3.5 KiB
95 lines
3.5 KiB
\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{5}
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\dpllStep{1|2|3|4|5}
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\dpllDecL{0|0|0|1|1}
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\dpllAssi{ - |$\lnot a$|$\lnot a, b$|$\lnot a, b, \lnot c$|\makecell{$\lnot a, b, \lnot c, $ \\ $\lnot d$}}
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\dpllClause{1}{$\lnot c, \lnot d$}{$\lnot c, \lnot d$|$\lnot c, \lnot d$|$\lnot c, \lnot d$|\done|\done}
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\dpllClause{2}{$c, e$}{$c, e$|$c, e$|$c, e$|$e$|$e$}
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\dpllClause{3}{$\lnot d, c$}{$\lnot d, c$|$\lnot d, c$|$\lnot d, c$|$\lnot d$|\done}
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\dpllClause{4}{$d, \lnot e$}{$d, \lnot e$|$d, \lnot e$|$d, \lnot e$|$d, \lnot e$|$\lnot e$}
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\dpllClause{5}{$b, \lnot d$}{$b, \lnot d$|$b, \lnot d$|\done|\done|\done}
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\dpllClause{6}{$\lnot a, \lnot e, \lnot c$}{$\lnot a, \lnot e, \lnot c$|\done|\done|\done|\done}
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\dpllClause{7}{$d, c$}{$d, c$|$d, c$|$d, c$|$d$|\conflict}
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\dpllBCP{ - | - | - |$\lnot d$| - }
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\dpllPL{$\lnot a$|$b$| - | - | - }
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\dpllDeci{ - | - |$\lnot c$| - | - }
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\end{dplltabular}
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}
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Conflict in step 5\\
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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: 1 -> 3
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\draw [->] (21.966bp,33.373bp) .. controls (35.227bp,36.53bp) and (58.98bp,42.186bp) .. (86.047bp,48.63bp);
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (54.0bp,50.5bp) node {$$3$$};
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% Edge: 1 -> 4
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\draw [->] (21.111bp,26.371bp) .. controls (26.482bp,23.828bp) and (33.482bp,20.828bp) .. (40.0bp,19.0bp) .. controls (51.65bp,15.733bp) and (65.057bp,13.758bp) .. (85.923bp,11.639bp);
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\draw (54.0bp,26.5bp) node {$$7$$};
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% Edge: 3 -> 2
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\draw [->] (107.67bp,47.438bp) .. controls (115.41bp,44.585bp) and (126.51bp,40.495bp) .. (145.47bp,33.51bp);
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% Edge: 4 -> 2
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\draw [->] (107.67bp,14.223bp) .. controls (115.24bp,16.746bp) and (126.02bp,20.339bp) .. (145.09bp,26.697bp);
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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 (11.0bp,31.0bp) ellipse (11.0bp and 11.0bp);
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\draw (11.0bp,31.0bp) node {$\lnot c$};
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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 (97.0bp,51.0bp) ellipse (11.0bp and 11.0bp);
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\draw (97.0bp,51.0bp) 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 (97.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
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\draw (97.0bp,11.0bp) node {$d$};
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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 (156.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
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\draw (156.0bp,30.0bp) node {$\bot$};
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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{$3. \; \lnot d \lor c$}
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\AxiomC{$7. \; d \lor c$}
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\BinaryInfC{$c$}
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\end{prooftree}
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\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{4}
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\dpllStep{6|7|8|9}
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\dpllDecL{0|0|0|0}
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\dpllAssi{$\lnot a, b$|$\lnot a, b, c$|\makecell{$\lnot a, b, c, $ \\ $\lnot d$}|\makecell{$\lnot a, b, c, $ \\ $\lnot d, \lnot e$}}
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\dpllClause{1}{$\lnot c, \lnot d$}{$\lnot c, \lnot d$|$\lnot d$|\done|\done}
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\dpllClause{2}{$c, e$}{$c, e$|\done|\done|\done}
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\dpllClause{3}{$\lnot d, c$}{$\lnot d, c$|\done|\done|\done}
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\dpllClause{4}{$d, \lnot e$}{$d, \lnot e$|$d, \lnot e$|$\lnot e$|\done}
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\dpllClause{5}{$b, \lnot d$}{\done|\done|\done|\done}
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\dpllClause{6}{$\lnot a, \lnot e, \lnot c$}{\done|\done|\done|\done}
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\dpllClause{7}{$d, c$}{$d, c$|\done|\done|\done}
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\dpllClause{8}{$c$}{$c$|\done|\done|\done}
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\dpllBCP{$c$|$\lnot d$|$\lnot e$| - }
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\dpllPL{ - | - | - | - }
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\dpllDeci{ - | - | - |SAT}
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\end{dplltabular}
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}
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