Puzzling Asked by Keelhaul on February 6, 2021
You are the Captain of the Space Station 13, and everything went bad very quickly. Most of the crew died, and it took you not so long to figure out that some people are not who they’re supposed to be (hence the bloody mess). Your task is to find out who is who in order to prevent the bad guys from reaching the escape shuttle.
There are 8 other crewmen with you: the Security Officer, the Medical Doctor, the Chief Engineer, the Cook, the Cargo Technician, the Botanist, the Janitor and the Clown (every station needs a Clown). You know that 4 of them are innocent, and that the 4 others are a Traitor, a Changeling, a Cultist and a Space Wizard. You also know for facts that:
And this is what everyone said to you (in order of interrogation):
Security Officer: "The Medical Doctor is innocent."
Chief Engineer: "The Botanist is not innocent…"
Janitor: "The Clown is a Space Wizard!"
Cargo Technician: "The Chief Engineer is a Cultist!"
Medical Doctor: "The Cook is a Changeling!"
Clown: "The Janitor is a Traitor!"
Botanist: "The Security Officer is innocent."
Cook: "The Cargo Technician is a Traitor!"
Remember, your goal is to assert the identity of everyone, not just sort bad guys and innocents. The Traitor must be shot in the head, the Changeling burnt to ashes, the Cultist spaced and the Space Wizard properly dismembered.
If you liked this puzzle, try the rest of the story!
The rest is innocent. Explanation:
It's a ... tricky situation ... to explain; I might have made some mistakes and used 'lying/speaking the truth' where I meant 'statement is false/true' or vice versa. Captain Glorfindel out.
Answered by Glorfindel on February 6, 2021
(Credit to @Glorfindel who got the same answer first and has now added what's probably a more coherent explanation than mine. So vote for @Glorfindel! I'll leave this here in case it helps as an alternate explanation)
If
Then the Medical Doctor's statement must be
Which would mean that the
But that fails because
So the other alternative is that
That then means both the
are lying, so they're the other two lying roles. If the
is telling the truth, then
I got stuck at this point and couldn't make the very last bit fit, thought I'd gone wrong, but then I check Glorfindel's answer and that gave the missing link that:
So in summary:
Answered by Mohirl on February 6, 2021
Warning: This was just a brute force thing I worked on here and there throughout the day, so I'm late in answering.
A good place to start in this determination is the person that makes a claim about the Changeling. The Changeling is believed to be speaking a true statement by all personnel. Our friend the Medical Doctor has claimed that the Cook is a Changeling.
Let's just plot out all possibilities for the Medical Doctor, then.
Answered by Ian MacDonald on February 6, 2021
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