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76 lines
2.4 KiB
76 lines
2.4 KiB
a.)\\
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\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|1|2|3|4}
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\dpllAssi{ - |$a$|$a, b$|$a, b, c$|\makecell{$a, b, c, $ \\ $d$}}
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\dpllClause{1}{$\lnot a, b$}{$\lnot a, b$|$b$|\done|\done|\done}
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\dpllClause{2}{$\lnot a, \lnot d$}{$\lnot a, \lnot d$|$\lnot d$|$\lnot d$|$\lnot d$|\conflict}
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\dpllClause{3}{$c, \lnot b$}{$c, \lnot b$|$c, \lnot b$|$c$|\done|\done}
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\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|$\lnot c, d$|$d$|\done}
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\dpllBCP{ - | - | - | - | - }
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\dpllPL{ - | - | - | - | - }
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\dpllDeci{$a$|$b$|$c$|$d$| - }
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\end{dplltabular}
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}
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\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{2}
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\dpllStep{6|7}
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\dpllDecL{3|4}
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\dpllAssi{$a, b, c$|\makecell{$a, b, c, $ \\ $\lnot d$}}
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\dpllClause{1}{$\lnot a, b$}{\done|\done}
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\dpllClause{2}{$\lnot a, \lnot d$}{$\lnot d$|\done}
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\dpllClause{3}{$c, \lnot b$}{\done|\done}
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\dpllClause{4}{$\lnot c, d$}{$d$|\conflict}
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\dpllBCP{ - | - }
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\dpllPL{ - | - }
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\dpllDeci{$\lnot d$| - }
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\end{dplltabular}
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}
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\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{2}
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\dpllStep{8|9}
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\dpllDecL{2|3}
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\dpllAssi{$a, b$|$a, b, \lnot c$}
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\dpllClause{1}{$\lnot a, b$}{\done|\done}
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\dpllClause{2}{$\lnot a, \lnot d$}{$\lnot d$|$\lnot d$}
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\dpllClause{3}{$c, \lnot b$}{$c$|\conflict}
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\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|\done}
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\dpllBCP{ - | - }
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\dpllPL{ - | - }
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\dpllDeci{$\lnot c$| - }
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\end{dplltabular}
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}
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\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{2}
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\dpllStep{10|11}
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\dpllDecL{1|2}
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\dpllAssi{$a$|$a, \lnot b$}
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\dpllClause{1}{$\lnot a, b$}{$b$|\conflict}
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\dpllClause{2}{$\lnot a, \lnot d$}{$\lnot d$|$\lnot d$}
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\dpllClause{3}{$c, \lnot b$}{$c, \lnot b$|\done}
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\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$}
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\dpllBCP{ - | - }
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\dpllPL{ - | - }
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\dpllDeci{$\lnot b$| - }
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\end{dplltabular}
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}
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\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|1|2|3|4}
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\dpllAssi{ - |$\lnot a$|$\lnot a, b$|$\lnot a, b, c$|\makecell{$\lnot a, b, c, $ \\ $d$}}
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\dpllClause{1}{$\lnot a, b$}{$\lnot a, b$|\done|\done|\done|\done}
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\dpllClause{2}{$\lnot a, \lnot d$}{$\lnot a, \lnot d$|\done|\done|\done|\done}
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\dpllClause{3}{$c, \lnot b$}{$c, \lnot b$|$c, \lnot b$|$c$|\done|\done}
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\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|$\lnot c, d$|$d$|\done}
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\dpllBCP{ - | - | - | - | - }
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\dpllPL{ - | - | - | - | - }
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\dpllDeci{$\lnot a$|$b$|$c$|$d$|SAT}
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\end{dplltabular}
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}
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