1. ~R>P 2. (~P^S)^Z / R^S 3. ~P^S 2, Simplification 4. ~P 3, Simplification 5. ~P>~~R 1, Transposition 6. ~P>R 5, Double negation 7. R 6,4, Modus ponens 8. S^~P 3, Comutation 9. S 8, Simplification 10. R^S 7,9, Conjunction Edwin