| $M\ \rightarrow\ N$ |
| $D\ v\ (N\ \rightarrow\ P)$ |
| $R\ v\ \sim\ D$ |
| $(A\ \&\ B)\ \rightarrow\ \sim\ R$ |
| $A\ \&\ B$ |
| $(M \rightarrow P)\ v\ Z$ |
| $(1)\ M\ \rightarrow\ N$ | $P$ |
| $(2)\ D\ v\ (N\ \rightarrow\ P)$ | $P$ |
| $(3)\ R\ v\ \sim\ D$ | $P$ |
| $(4)\ (A\ \&\ B)\ \rightarrow\ \sim\ R$ | $P$ |
| $(5)\ A\ \&\ B$ | $P/ (M\ \rightarrow\ P)\ v\ Z$ |
| $(6)\ \sim\ R$ | $4, 5, MP$ |
| $(7)\ \sim\ D$ | $3, 6, DS$ |
| $(8)\ N\ \rightarrow\ P$ | $2, 7, DS$ |
| $(9)\ M\ \rightarrow\ P$ | $1, 8, HS$ |
| $(10)\ (M\ \rightarrow\ P)\ v\ Z$ | $9,$ Add. |
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $A\ \rightarrow\ B$ |
| $(R\ \&\ D)\ v\ A$ |
| $T\ v\ [(R\ \&\ D)\ \rightarrow\ W]$ |
| $D\ \&\ \sim\ T$ |
| $\therefore\ [D\ \&\ (W\ v\ B)])\ v\ \sim\ A$ |
| $(A\ v\ D) \rightarrow (R\ \&\ S)$ |
| $E\ v\ (A\ v\ D)$ |
| $F\ \&\ \sim E$ |
| $(R\ \&\ F)\ v\ K$ |
| $G \rightarrow H$ |
| $(A\ v\ B) \rightarrow D$ |
| $D \rightarrow [(S\ \&\ T) \rightarrow P]$ |
| $(S\ \&\ T)\ v\ G$ |
| $A\ v\ B$ |
| $(P\ v\ H)\ \&\ D$ |
| $R\ \rightarrow\ (A\ \&\ B)$ |
| $P\ v\ \sim\ (S\ \&\ T)$ |
| $\sim\ T\ \&\ \sim\ P$ |
| $(A\ \&\ B)\ \rightarrow\ (S\ \&\ T)$ |
| $(\sim\ R\ \&\ \sim\ T)\ v\ D$ |
| $(E\rightarrow F)\rightarrow H$ |
| $\sim J\ v (F\ \&\ G)$ |
| $F \rightarrow(H\rightarrow I)$ |
| $\sim\ \sim J$ |
| $G\ \&\ [(E\rightarrow F) \rightarrow I]$ |