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  1. This sequent is not provable.
  2. $\mathcal{M} : p = F, q = T, r = T$ \\
  3. $\mathcal{M} \models p \imp q$ \\
  4. $\mathcal{M} \models q \imp r$ \\
  5. $\mathcal{M} \models \neg (p \land r)$ \\
  6. $\mathcal{M} \nmodels q \imp p$