Find the greedy pig (III)

Brenda and Alfred were saying the same thing, so what she accused and he admitted cannot both be the truth since we were told that only ONE of them is telling the truth. Thus, we know that Alfred was actually innocent and that the sole truth has to come from either one of the other two brothers.

Charles accused Brenda while Darius kept a defensive stance and denied his involvement in the 'crime'. Since we know that exactly one of them lied and the other told the truth, the possibilities are Brenda AND Darius both ate the cake OR Darius really was innocent and Charles ate the cake alone. Since the guilty, greedy pig didn't have any accomplices (greedy, get it?), then the answer can be none other than the latter possibility of Charles eating the cake.

Alfred (F), Brenda(F), Darius(T), Charles(F), so if darirus did not eat it then Charles eat it because is false and is blaming someone who is also false in which he states that he did not eat (brenda) because Alfred ate but that does not happen since this determines that charles is the part of the anti-fallacy condition; Charles

There can be 4 cases. In each case one will be saying the truth: Case 1: Charles is saying the truth. This case is not possible because then the truth will be that Brenda ate it, but this will mean Darius is lying (which means he too ate the cake). Case 2: If Darius is truthfull and rest of the others are lying them this means Charles ate the cake. So this case is possible. Case 3: If Brendais truthfull, then this means Alfred ate the cake. But this will also mean that what Alfred is saying( thathe atr the cake) is also true. Since two people cannot say the truth at the same time that's why this case is not possible. Case 4: if Alfred is saying the truth then this means he ate the cake. But then this also means Brenda is also saying the truth as she too said the same thing. This is not possible as two people cannot be truthfull at once. Thus,only case 2 is possible. DARIUS ATR THE CAKE!