SOLUTION: Hello, I have access to rules: 1.Modus Ponens 2. Modus Tollens 3. Hypothetical Syllogism 4. Disjunctive Syllogism 5. Constructive dilemma 6. Simplification 7. conjunction 8. additi

1.  F -> (P -> N)
2.  ~N * ~~P
/   ~F
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3.  (F * P) -> N                          1        Exportation
4.  (P * F) -> N                          3        Commutation
5.  P -> (F -> N)                         4        Exportation
6.  ~N * P                                2        Double Negation
7.  P * ~N                                6        Commutation
8.  ~N                                    6        Simplification
9.  P                                     7        Simplification
10. F -> N                                5,9      Modus Ponens
11. ~F                                    10,8     Modus Tollens