SOLUTION: 1. (Q∨R)→(W∨U) 2. W→P 3. Q∙T 4. U→Z 5. S→M 6. S∨~Y 7. (P∨Z)→~M ∴ ~Y 8. Q 3, simp 9.

Algebra.Com
Question 277572: 1. (Q∨R)→(W∨U)
2. W→P
3. Q∙T
4. U→Z
5. S→M
6. S∨~Y
7. (P∨Z)→~M ∴ ~Y
8. Q 3, simp
9. Q∨R 8, ADD
10. W∨U 1,9 MP
11. P∨S 10,2,4 CD
(I have completed lines 8-11 myself, but I cannot get past that. Thanks.)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
You made a mistake on line 11. You should have P v Z (not P v S) since the consequent of U -> Z is Z


So continuing with your work...

11.  P v Z                     2,4,10      Constructive Dilemma
12.  ~M                        7,11        Modus Ponens
13.  ~S                        5,12        Modus Tollens
14.  ~Y                        6,13        Disjunctive Syllogism



RELATED QUESTIONS

1. (Q∨R)→(W∨U) 2. W→P 3. (answered by jim_thompson5910)
1. ~P∨Q 2. Q→R ∴ P→R 1. R∨~Q 2. P→Q 3. ~R (answered by Edwin McCravy)
Solve use reductio ad absurdum 1. ~P→(R∙S) 2.... (answered by math_helper)
1. (A∨~B)→(F∨(R∙G)) 2. A 3. F→L (answered by math_helper)
1. (QvR)->(WvU) 2. W->P 3. Q.T 4. U->Z 5. S->M 6. Sv~Y 7. (PvZ)->~M :. ~Y (answered by lynnlo)
write a direct proof using the eight rules of inference (C → Q) • (~L →... (answered by Edwin McCravy)
~(Z v Y) → ~W, ~U → ~(Z v Y), (~U → ~W) → (T → S), S... (answered by math_helper)
What is the proof for ((P→Q)→Q)→(P∨Q) (answered by drk)
1. (E∨F)→~G 2. ~H 3. H∨K 4. (K∨L)→E ∴... (answered by jim_thompson5910)