| $(R\ \rightarrow\ S)\ \&\ (A\ v\ C)$ |
| $B\ \&\ (P\ \rightarrow\ W)$ |
| $(W\ \rightarrow\ T)\ \&\ (S\ \rightarrow\ Y)$ |
| $P\ v\ R$ |
| $T\ v\ Y$ |
| $(1)\ (R\ \rightarrow\ S)\ \&\ (A\ v\ C)$ | $P$ |
| $(2)\ B\ \&\ (P\ \rightarrow\ W)$ | $P$ |
| $(3)\ (W\ \rightarrow\ T)\ \&\ (S\ \rightarrow\ Y)$ | $P$ |
| $(4)\ P\ v\ R$ | $P/ T\ v\ Y$ |
| $(5)\ R\ \rightarrow\ S$ | $1,$ Simp. |
| $(6)\ P\ \rightarrow\ W$ | $2,$ Simp. |
| $(7)\ W\ \rightarrow\ T$ | $3,$ Simp. |
| $(8)\ S\ \rightarrow\ Y$ | $3,$ Simp. |
| $(9)\ W\ v\ S$ | $6, 5, 4, CD$ |
| $(10)\ T\ v\ Y$ | $7, 8, 9, CD$ |
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| $(M\ v\ N)\ \&\ K$ |
| $[M\ v\ N)\ v\ L] \rightarrow H$ |
| $[( M\ v\ N)\ \&\ H] \rightarrow Z$ |
| $\therefore Z$ |
| $(E\rightarrow F)\rightarrow H$ |
| $\sim J\ v (F\ \&\ G)$ |
| $F \rightarrow(H\rightarrow I)$ |
| $\sim\ \sim J$ |
| $G\ \&\ [(E\rightarrow F) \rightarrow I]$ |
| $K\rightarrow\ (W\ \rightarrow\ X)$ |
| $( \sim\ Q\ \&\ \sim\ K)\ \rightarrow\ (\sim\ Y\ v\ \sim\ M)$ |
| $(\sim\ Y\ \rightarrow\ \sim\ Z)\ \&\ (\sim\ M\ \rightarrow\ \sim\ P)$ |
| $(W\ \rightarrow\ X)$ |
| $\therefore \sim\ Z\ v\ \sim\ p$ |
| $(K\ \rightarrow\ L)\ \&\ 0$ |
| $\sim\ A\ \rightarrow\ (B\ \rightarrow\ C)$ |
| $A\ v\ (B\ v\ K)$ |
| $\sim\ A$ |
| $C\ v\ L$ |
| $A \rightarrow B$ |
| $\sim B\ v\ D$ |
| $\sim D$ |
| $\therefore \sim A\ \&\ \sim D$ |