$$ \left (\begin{array}{rr:rr} \tooltip{\frac{1}{9}}{P(11|11)} & \tooltip{\frac{1}{9}}{P(21|11)} & \tooltip{\frac{1}{9}}{P(31|11)} & \tooltip{- \frac{5}{9}}{P(11|21)} & \tooltip{\frac{4}{9}}{P(21|21)} & \tooltip{\frac{4}{9}}{P(31|21)} & \tooltip{- \frac{5}{9}}{P(11|31)} & \tooltip{\frac{4}{9}}{P(21|31)} & \tooltip{\frac{4}{9}}{P(31|31)} \\ \tooltip{- \frac{1}{9}}{P(12|11)} & \tooltip{- \frac{1}{9}}{P(22|11)} & \tooltip{- \frac{1}{9}}{P(32|11)} & \tooltip{\frac{5}{9}}{P(12|21)} & \tooltip{- \frac{4}{9}}{P(22|21)} & \tooltip{- \frac{4}{9}}{P(32|21)} & \tooltip{\frac{5}{9}}{P(12|31)} & \tooltip{- \frac{4}{9}}{P(22|31)} & \tooltip{- \frac{4}{9}}{P(32|31)} \\ \tooltip{0}{P(11|12)} & \tooltip{0}{P(21|12)} & \tooltip{0}{P(31|12)} & \tooltip{\frac{2}{3}}{P(11|22)} & \tooltip{- \frac{1}{3}}{P(21|22)} & \tooltip{- \frac{1}{3}}{P(31|22)} & \tooltip{- \frac{2}{3}}{P(11|32)} & \tooltip{\frac{1}{3}}{P(21|32)} & \tooltip{\frac{1}{3}}{P(31|32)} \\ \hdashline \tooltip{0}{P(12|12)} & \tooltip{0}{P(22|12)} & \tooltip{0}{P(32|12)} & \tooltip{- \frac{2}{3}}{P(12|22)} & \tooltip{\frac{1}{3}}{P(22|22)} & \tooltip{\frac{1}{3}}{P(32|22)} & \tooltip{\frac{2}{3}}{P(12|32)} & \tooltip{- \frac{1}{3}}{P(22|32)} & \tooltip{- \frac{1}{3}}{P(32|32)}\end{array}\right ) \le \left \{ \begin{array}{rl} \text{local:} & 1\text{ (facet)}\end{array} \right. $$
$$ \left (\begin{array}{r|r:r} \tooltip{-1}{P_(|)} & \tooltip{0}{P_A(1|1)} & \tooltip{0}{P_A(2|1)} & \tooltip{0}{P_A(1|2)} & \tooltip{0}{P_A(2|2)} & \tooltip{2}{P_A(1|3)} & \tooltip{0}{P_A(2|3)} \\ \hline \tooltip{2}{P_B(1|1)} & \tooltip{0}{P_AB(1,1|1,1)} & \tooltip{0}{P_AB(2,1|1,1)} & \tooltip{-2}{P_AB(1,1|2,1)} & \tooltip{0}{P_AB(2,1|2,1)} & \tooltip{-2}{P_AB(1,1|3,1)} & \tooltip{0}{P_AB(2,1|3,1)} \\ \tooltip{0}{P_B(1|2)} & \tooltip{0}{P_AB(1,1|1,2)} & \tooltip{0}{P_AB(2,1|1,2)} & \tooltip{2}{P_AB(1,1|2,2)} & \tooltip{0}{P_AB(2,1|2,2)} & \tooltip{-2}{P_AB(1,1|3,2)} & \tooltip{0}{P_AB(2,1|3,2)}\end{array}\right ) \le \left \{ \begin{array}{rl} \text{local:} & 1\text{ (facet)}\end{array} \right. $$
$$ \left (\begin{array}{c} \frac{1}{9} \text{ } P(11|11) \text{ } \text{+} \text{ } \frac{1}{9} \text{ } P(21|11) \text{ } \text{+} \text{ } \frac{1}{9} \text{ } P(31|11) \text{ } \text{-} \text{ } \frac{5}{9} \text{ } P(11|21) \\ \frac{4}{9} \text{ } P(21|21) \text{ } \text{+} \text{ } \frac{4}{9} \text{ } P(31|21) \text{ } \text{-} \text{ } \frac{5}{9} \text{ } P(11|31) \text{ } \text{+} \text{ } \frac{4}{9} \text{ } P(21|31) \\ \frac{4}{9} \text{ } P(31|31) \text{ } \text{-} \text{ } \frac{1}{9} \text{ } P(12|11) \text{ } \text{-} \text{ } \frac{1}{9} \text{ } P(22|11) \text{ } \text{-} \text{ } \frac{1}{9} \text{ } P(32|11) \\ \frac{5}{9} \text{ } P(12|21) \text{ } \text{-} \text{ } \frac{4}{9} \text{ } P(22|21) \text{ } \text{-} \text{ } \frac{4}{9} \text{ } P(32|21) \text{ } \text{+} \text{ } \frac{5}{9} \text{ } P(12|31) \\ \text{-} \text{ } \frac{4}{9} \text{ } P(22|31) \text{ } \text{-} \text{ } \frac{4}{9} \text{ } P(32|31) \text{ } \text{+} \text{ } \frac{2}{3} \text{ } P(11|22) \text{ } \text{-} \text{ } \frac{1}{3} \text{ } P(21|22) \\ \text{-} \text{ } \frac{1}{3} \text{ } P(31|22) \text{ } \text{-} \text{ } \frac{2}{3} \text{ } P(11|32) \text{ } \text{+} \text{ } \frac{1}{3} \text{ } P(21|32) \text{ } \text{+} \text{ } \frac{1}{3} \text{ } P(31|32) \\ \text{-} \text{ } \frac{2}{3} \text{ } P(12|22) \text{ } \text{+} \text{ } \frac{1}{3} \text{ } P(22|22) \text{ } \text{+} \text{ } \frac{1}{3} \text{ } P(32|22) \text{ } \text{+} \text{ } \frac{2}{3} \text{ } P(12|32) \\ \text{-} \text{ } \frac{1}{3} \text{ } P(22|32) \text{ } \text{-} \text{ } \frac{1}{3} \text{ } P(32|32)\end{array}\right ) \le \left \{ \begin{array}{rl} \text{local:} & 1\text{ (facet)}\end{array} \right. $$
$$ \left (\begin{array}{c} \text{-} \text{ } 1 \text{ } P_(|) \text{ } \text{+} \text{ } 2 \text{ } P_A(1|3) \text{ } \text{+} \text{ } 2 \text{ } P_B(1|1) \text{ } \text{-} \text{ } 2 \text{ } P_AB(1,1|2,1) \\ \text{-} \text{ } 2 \text{ } P_AB(1,1|3,1) \text{ } \text{+} \text{ } 2 \text{ } P_AB(1,1|2,2) \text{ } \text{-} \text{ } 2 \text{ } P_AB(1,1|3,2)\end{array}\right ) \le \left \{ \begin{array}{rl} \text{local:} & 1\text{ (facet)}\end{array} \right. $$