| $A \rightarrow B$ |
| $C \rightarrow B$ |
| $(\sim\ A\ \&\ \sim \ C)\ \rightarrow\ (D\ \rightarrow\ E)$ |
| $(E\ \rightarrow\ G)\ \&\ (D\ v\ E)$ |
| $E\ v\ G$ |
| $(1)\ A\ \rightarrow\ B$ | $P$ |
| $(2)\ C\ \rightarrow\ B$ | $P$ |
| $(3)\ (\sim\ A\ \&\ \sim\ C)\ \rightarrow\ (D\ \rightarrow\ E)$ | $P$ |
| $(4)\ (E\ \rightarrow\ G)\ \&\ (D\ v\ E)$ | $P$ |
| $(5)\ \sim\ B$ | $P/ E\ v\ G$ |
| $(6)\ \sim\ A$ | $1, 5, MT$ |
| $(7)\ \sim\ C$ | $2, 5, MT$ |
| $(8)\ \sim\ A\ \&\ \sim\ C$ | $6, 7,$ Conj. |
| $(9)\ D\ \rightarrow\ E$ | $3, 8, MP$ |
| $(10)\ E\ \rightarrow\ G$ | $4,$ Simp. |
| $(11)\ D\ v\ E$ | $4,$ Simp. |
| $(12)\ E\ v\ G$ | $9, 10, 11, CD$ |
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| $A\ v\ B$ |
| $\sim\ A\ \&\ C$ |
| $\therefore (B\ v\ \sim\ D)\ \&\ C$ |
| $K\rightarrow\ (W\ \rightarrow\ X)$ |
| $( \sim\ Q\ \&\ \sim\ K)\ \rightarrow\ (\sim\ Y\ v\ \sim\ M)$ |
| $(\sim\ Y\ \rightarrow\ \sim\ Z)\ \&\ (\sim\ M\ \rightarrow\ \sim\ P)$ |
| $(W\ \rightarrow\ X)$ |
| $\therefore \sim\ Z\ v\ \sim\ p$ |
| $(A\ v\ B)\ v\ \sim\ C$ |
| $D\ \rightarrow\ [(A\ v\ B) \rightarrow\ E]$ |
| $F\ \rightarrow (\sim\ C\ \rightarrow\ G)$ |
| $D\ \&\ F$ |
| $(E\ v\ G)\ v\ H$ |
| $\sim\ L\ \rightarrow\ \sim\ N$ |
| $(A\ v\ B)\ \rightarrow\ Q$ |
| $Q\ \rightarrow\ [(S\ \&\ T) \rightarrow\ P]$ |
| $(S\ \&\ T)\ v\ \sim\ L$ |
| $A\ v\ B$ |
| $\therefore\ (P\ v\ \sim\ N)\ \&\ Q$ |