1. O & I 2. O -> (S v G) 3. I -> ~G / :. S ---------------------- 4. I & O 1 Commutation 5. O 1 Simplification 6. I 4 Simplification 7. ~G 3,6 Modus Ponens 8. S v G 2,5 Modus Ponens 9. S 8,7 Disjunctive Syllogism