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  1. | Pd ⟷ (Hj & Mj)
  2. | Gsd
  3. | ∀x∀y∃z(((Gxy & (Py ➝ Pz)) & Rxyz) ➝ Gxz)
  4. | Pe ⟷ ∀x(Hx ➝ Mx)
  5. | Rsde
  6. |-
  7. | ∀y∃z(((Gsy & (Py ➝ Pz)) & Rsyz) ➝ Gsz)
  8. | ∃z(((Gsd & (Pd ➝ Pz)) & Rsdz) ➝ Gsz)
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