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