1. ~M•(Z > R)
2. (~M v G) > ~U
3. (~M v ~X) > ~B
4. (~B • ~U ) > (E > M) / ~E
5. ~M 1, simplification
6. ~M v G 5, addition
7. ~U 2,6, modus ponens
8. ~M v ~X 5, addition
9. ~B 3,8, modus ponens
10. ~B • ~U 9,7, conjunction
11. E > M 4,10, modus ponens
12. ~E 11,5, modus tollens
Edwin