| $T \rightarrow Q$ |
| $B \rightarrow (K\ v\ T)$ |
| $(N \rightarrow B) \rightarrow (K\ v\ B)$ |
| $K\ v\ (N \rightarrow B)$ |
| $\sim K$ |
| $\therefore\ \sim Q\ v\ Z$ |
| $(1)\ T \rightarrow Q$ | $P$ |
| $(2)\ B \rightarrow (K\ v\ T)$ | $P$ |
| $(3)\ (N\ \rightarrow\ B)\ \rightarrow\ (K\ v\ B)$ | $P$ |
| $(4)\ K\ v\ (N \ \rightarrow\ B)$ | $P$ |
| $(5)\ \sim $ | $P/ \ \therefore\ Q\ v\ Z$ |
| $(6)\ N\ \rightarrow\ B$ | $4, 5, DS$ |
| $(7)\ K\ v\ B$ | $3, 6, MP$ |
| $(8)\ B$ | $7, 5, DS$ |
| $(9)\ K\ v\ T$ | $2, 8, MP$ |
| $(10) \ T$ | $9, 5, DS$ |
| $(11)\ Q$ | $1, 10, MP$ |
| $(12)\ Q\ v\ Z$ | $11,$ Add. |
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| (G $\rightarrow$ H) $\rightarrow$ (I $\leftrightarrow$ J) |
| K v ~(L $\rightarrow$ M) |
| (G $\rightarrow$ H) v ~ K |
| N $\rightarrow$ (L $\rightarrow$ M) |
| ~ (I J) |
| $\therefore$~ N & ~ K |
| $N \rightarrow (\sim Z \rightarrow G)$ |
| $D \rightarrow [K\ v\ Y) \rightarrow M]$ |
| $(X\ v\ Y\ v\ \sim\ Z$ |
| $D\ \&\ N$ |
| $\therefore\ (M\ v\ G)\ v\ K$ |
| $E\rightarrow H$ |
| $F\rightarrow (I\ v\ P)$ |
| $(E\ v\ F)\ \&\ \sim G$ |
| $H \rightarrow G$ |
| $\therefore I\ v\ P$ |
| $J\ v\ (J\ \&\ K)$ |
| $J \rightarrow D$ |
| $\sim\ D$ |
| $\therefore K\ v\ M$ |