Where to start on basic derivation using $I$ inclusion

Question

I'm trying to get through the following problem (which uses a negation inclusive ($-I$)) what steps should I take to properly derive this?

$P\rightarrow Q, Q\rightarrow R, - R\vdash -(P\wedge S)$

I am using the following rule sets:

First 7:

https://books.google.com/books?id=qaIdAgAAQBAJ&pg=PA152&lpg=PA152&dq=nelson+p+lande+derivation+rules&source=bl&ots=dZSufOhmlc&sig=Ybw_RboRt2lze1CZqc8iXlyDUfQ&hl=en&sa=X&ved=0ahUKEwjr1aWXp-bTAhXqjFQKHTjJDA0Q6AEIJzAA#v=onepage&q&f=false

Last 4:

https://books.google.com/books?id=qaIdAgAAQBAJ&pg=PA192&lpg=PA192&dq=nelson+p+lande+derivation+rules&source=bl&ots=dZSufOhmlc&sig=Ybw_RboRt2lze1CZqc8iXlyDUfQ&hl=en&sa=X&ved=0ahUKEwjr1aWXp-bTAhXqjFQKHTjJDA0Q6AEIJzAA#v=onepage&q&f=false

Let me know if there is anything I can do to pose this question in a better way.

Answer 1

\begin{array}{llll} 1&1&P \land S&A\\ 1&2&P&1 \land E\\ 3&3&P\rightarrow Q&A\\ 1,3&4&Q&\rightarrow E\\ 5&5&Q\rightarrow R&A\\ 1,3,5&6&R&4,5 \rightarrow E\\ 7&7&\neg R&A\\ 1,3,5,7&8&R\land \neg R&6,7 \land I\\ 3,5,7&9&\neg(P\land S)&8 \neg I\\ \end{array}