## Another six-statements logic puzzle

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### Another six-statements logic puzzle

A: F is true.

B: A is false.

C: B is false.

D: C is true.

E: A is true if D is true.

F: A is true if E is true.

Is it possible to determine which statements are true? If so, identify them.

Edit: Just to be clear, the answer should seem pretty straightforward, but then consider the following rephrased version:

A: F is true.

B: A is false.

C: B is false.

D: C is true.

E: A and D are both true.

F: A and E are both true.

Is the solution to this version different? Should the solution to this version be different?

B: A is false.

C: B is false.

D: C is true.

E: A is true if D is true.

F: A is true if E is true.

Is it possible to determine which statements are true? If so, identify them.

Edit: Just to be clear, the answer should seem pretty straightforward, but then consider the following rephrased version:

A: F is true.

B: A is false.

C: B is false.

D: C is true.

E: A and D are both true.

F: A and E are both true.

Is the solution to this version different? Should the solution to this version be different?

This is a block of text that can be added to posts you make. There is a 300 character limit.

- Kingreaper
**Posts:**170**Joined:**Sun Jan 27, 2008 4:23 pm UTC

### Re: Another six-statements logic puzzle

For the original puzzle:

For the modified version:

**Spoiler:**

For the modified version:

**Spoiler:**

### Re: Another six-statements logic puzzle

Kingreaper,

**Spoiler:**

This is a block of text that can be added to posts you make. There is a 300 character limit.

### Re: Another six-statements logic puzzle

Wildcard wrote:Spoiler:

Given this property, I think this puzzle fleshes out extremely well for a practical encounter in a roleplaying game, and I intend to steal it to that end. An adventuring party exploring a crypt comes across a chamber with six talking skulls. Every skull knows the layout of the crypt and every skull either always tells the truth or always lies, so the adventurers have to choose one to bring along as a guide. Even if they know the chosen skull always lies they can just do the opposite, but grabbing an unknown skull could lead them to sudden death. "Skull F always tells the truth!" explains Skull A, and so on.

### Re: Another six-statements logic puzzle

Ok original

Modified

Overall

**Spoiler:**

Modified

**Spoiler:**

Overall

**Spoiler:**

- TheGrammarBolshevik
**Posts:**4878**Joined:**Mon Jun 30, 2008 2:12 am UTC**Location:**Going to and fro in the earth, and walking up and down in it.

### Re: Another six-statements logic puzzle

Kingreaper wrote:Spoiler:

**Spoiler:**

Nothing rhymes with orange,

Not even sporange.

Not even sporange.

- Kingreaper
**Posts:**170**Joined:**Sun Jan 27, 2008 4:23 pm UTC

### Re: Another six-statements logic puzzle

Cradarc wrote:Kingreaper,Spoiler:

**Spoiler:**

### Re: Another six-statements logic puzzle

Kingreaper wrote:Cradarc wrote:Kingreaper,Spoiler:Spoiler:

**Spoiler:**

I also have a 6 statement version I quite like because of how forumlaic it is

A. B and C are both true

B. C or D is true

C. Not both of D and E are true

D. Neither E nor F is true

E. One of F and A is true

F A is true if and only if B is true

### Re: Another six-statements logic puzzle

FTFY. And yes, I like its forumlaicness. But am too lazy to solve at the moment.SPACKlick wrote:I also have a 6 statement version I quite like because of how formulaic it is.

A. B AND C = true

B. C OR D = true

C. D NAND E = true

D. E NOR F = true

E. F XOR A = true

F. A XNOR B = true

There's no such thing as a funny sig.

### Re: Another six-statements logic puzzle

I'd have framed F as A IFF B but potato potahto

### Re: Another six-statements logic puzzle

Solution to this new version:

**Spoiler:**

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