For each of the following lists of premises, derive the indicated conclusion and complete the justification. In problems 4 and 8 you can add any statement you choose.

(1) 1. S ∨ H

2. B ⊃ E

3. R ⊃ G

4. _____ ____, Simp

(2) 1. (N ⊃­ T) ­∙ (F ⊃­ Q)

2. (N ⊃­ R) ∨ (F ⊃­ M)

3. N ∨ F

4. _______________ ____, CD

(3) 1. D

2. W

3. ____ ____, Conj

(4) 1. H

2. ____ ____, Add

(5) 1. R ∙ (N ∨ K)

2. (G ∙­ T) ∨ S

3. (Q ∙­ C) ⊃­ (J ∙ L)

4. _____________ ____, Simp

(6) 1. ∼R ∨ P

2. (P ⊃ ∼ D) ­∙ (∼R ⊃­ S)

3. (∼R ⊃ A) ∙­ (P ⊃ ∼ N)

4. _____________ ____, CD

(7) 1. (Q ∨ K) ∙ ∼ B

2. (M ∙ R) ⊃­ D

3. (W ∙­ S) ∨ (G ∙­ F)

4. _____________ ____, Simp

(8) 1. E ∙­ G

2. ______ ____ , Add

(9) 1. ∼B

2. F ∨ N

3. ____ ____, Conj

(10) 1. S ∨ ∼ C

2. (S ⊃ ∼ L) ­∙ (∼C ⊃ M)

3. (∼N ⊃ S) ∙ (F ⊃ ∼ C)

4. ________________ ____, CD