This problem involves analyzing logical statements derived from a given condition about creativity, success, and discipline.

Problem Setup

Let the propositions be:

• $C$: The person is Creative.
• $S$: The person will Succeed.
• $D$: The person is Disciplined.

The core condition stated is: "A Creative ($C$) person will Succeed ($S$) if the person is also Disciplined ($D$), but will not succeed otherwise." This translates to: If a person is Creative ($C$ is True), then they Succeed ($S$) if and only if they are Disciplined ($D$). Logically, this is represented as: $C \Rightarrow (S \Leftrightarrow D)$

This core condition must hold true for any valid scenario described by the problem.

Analysis of Statements

Statement (i): $C \land S \Leftrightarrow D$

To check if this statement is always true according to the problem's condition, let's consider a case where the core condition $C \Rightarrow (S \Leftrightarrow D)$ holds, but statement (i) might not.

Consider a scenario where the person is not creative ($C$ is False) but is disciplined ($D$ is True) and succeeds ($S$ is True).

• Core condition check: $C \Rightarrow (S \Leftrightarrow D)$ becomes $F \Rightarrow (T \Leftrightarrow T)$, which is $F \Rightarrow T$, which is TRUE. The core condition holds.
• Statement (i) check: $C \land S \Leftrightarrow D$ becomes $F \land T \Leftrightarrow T$, which is $F \Leftrightarrow T$, which is FALSE.

Since we found a valid scenario where statement (i) is False, statement (i) is not always true. Statement (i) is FALSE.

Statement (ii): $C \Rightarrow (S \Leftrightarrow D)$

This statement is the direct logical translation of the problem's core condition ("A Creative ($C$) person will Succeed ($S$) if the person is also Disciplined ($D$), but will not succeed otherwise").

Therefore, statement (ii) must be TRUE based on the problem's definition.

Statement (iii): $C \Leftrightarrow ((D \Rightarrow S) \lor \neg S)$

Let's simplify the right side of the equivalence: $(D \Rightarrow S) \lor \neg S$. Using the logical equivalence $P \Rightarrow Q \equiv \neg P \lor Q$, we get:

• $(\neg D \lor S) \lor \neg S$
• $\equiv \neg D \lor (S \lor \neg S)$ (Associativity of $\lor$)
• $\equiv \neg D \lor T$ (Since $S \lor \neg S$ is a tautology, always True)
• $\equiv T$ (Since $\neg D \lor T$ is always True)

So, statement (iii) simplifies to $C \Leftrightarrow T$, which means $C$ must always be True.

However, the problem does not state that only creative people exist or are considered. A person can be not creative ($C$ is False).

Let's use the scenario from statement (i) analysis: $C=F, D=T, S=T$. The core condition holds.

• Statement (iii) check: $C \Leftrightarrow ((D \Rightarrow S) \lor \neg S)$ becomes $F \Leftrightarrow T$, which is FALSE.

Since we found a valid scenario where statement (iii) is False, statement (iii) is not always true. Statement (iii) is FALSE.

Conclusion

Based on the analysis:

• Statement (i) is FALSE.
• Statement (ii) is TRUE.
• Statement (iii) is FALSE.

Therefore, only statement (ii) is TRUE.