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Big Liar Mystery Cache

This cache has been archived.

The Rat: The time has come to retire this cache. I tried to make it easy to solve and easy to find. If that wasn't enough, I gave hints to everyone who asked. At least it was easy to park near it. Read Memoirs of a Geisha - it really is quite a good book, and I do hate brussels sprouts and swiss cheese.

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Hidden : 2/23/2003
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The above coordinates are not the coordinates of the cache. In order to obtain the correct coordinates you must solve the logic puzzle below. The correct coordinates are N37° 20.ABC W122° 5.DEF.

1. Big Liar is the name of a drinking game described in Memoirs of a Geisha.
2. The sum of ABC + DEF is a number between 750 and 1250.
3. Benjamin Franklin served as President of the United States.
4. The check is in the mail.
5. The cache container is big enough to exchange a few small items.
6. ABC divides evenly by 9 and DEF divides evenly by 7 (i.e. ABC mod 9 = 0 and DEF mod 7 = 0).
7. I hate brussels sprouts and swiss cheese.
8. Both ABC and DEF are prime numbers.
9. A, C, and E are the same digit.
10. DE = the product of the line numbers of the first four truthful statements in this puzzle.
11. BC = the product of the line numbers of the last two false statements in this puzzle.
12. Walnut Hill, Fla. is farther west than Ellison Bay, Wisc.
13. ABC > DEF.
14. This sentence is false.

Instructions: Some of the above statements are truthful, while some are lies. If you correctly identify all the lies you can determine the coordinates of the cache uniquely. No hints will be given and I will not confirm coordinates. When you find the cache, you must tell a lie in the log book and again when you log your find on the web page, but please no hints or clues (even subtle ones) about the cache or how to solve the puzzle.

Additional Hints (Decrypt)

[no hints]

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)