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