Which, If Any, of the Following Proofs Are Correct Demonstrations

Multiple Choice

Which, if any, of the following proofs are correct demonstrations of the validity of this argument? $$\begin{array}{l}\frac { ( A \cdot \sim D ) \cdot ( C \vee D ) } { C }\\\text { Proof } 1\\\begin{array} { l l l } \text { (1) } ( A \cdot \sim D ) \cdot ( C \vee D ) & / C & \text { Premise/Condusion } \\\text { (2) } \mathrm { C } \vee \mathrm { D } & & 1 \operatorname { Simp } \\\text { (3) } \sim \mathrm { D } & & 1 \operatorname { Simp } \\\text { (4) C } & & 2,3 \mathrm { DS } \\\text { Proof } 2 & & \\\text { (1) } ( \mathrm { A } \cdot \sim \mathrm { D } ) \cdot ( \mathrm { C } \vee \mathrm { D } ) & / \mathrm { C } & \text { Premise/Condusion } \\\text { (2) } \mathrm { C } \vee \mathrm { D } & & 1 \mathrm { Simp } \\\text { (3) } \mathrm { A } \cdot \sim \mathrm { D } && 1 \mathrm { Simp } \\\text { (4) } \sim \mathrm { D } && 3 \mathrm { Simp } \\\text { (5) C } && 2,4 \mathrm { DS }\end{array}\end{array}$$

A) Proof 1
B) Proof 2
C) Proofs 1 and 2
D) Neither proof
E) Not enough information is provided because proofs are incomplete.