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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