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