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put this solution on YOUR website! Here it helps to fully know the 19 rules of inference.
1.  ~J v ~L
2.  ~(J * L) -> ~M
3.  ~E v (M v ~S)           /  ~(S * E) 
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4.  ~(J * L)                          1     De Morgan's Law
5.  ~M                                2,4   Modus Ponens
6.  (~E v M) v ~S                     3     Association
7.  (M v ~E) v ~S                     6     Commutation
8.  M v (~E v ~S)                     7     Association 
9.  ~~M v (~E v ~S)                   8     Double Negation
10. ~M -> (~E v ~S)                   8     Material Implication
11. ~E v ~S                           10,5  Modus Ponens
12. ~S v ~E                           11    Commutation
13. ~(S * E)                          11    De Morgan's Law