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Ex Nilhilo Nihil Fit Mystery Cache

This cache has been archived.

nikcap: Yesterday upon the stairs, I say a man that wasn't there. He wasn't there again today, I wish that man would go away.

After 15 years, it appears that a new business is moving into the area. Thanks to everyone that came out to find this cache. I hope you had fun. Little did you know that the worst part would be getting to the actual parking.

Just for the record ...

Questions 1. - Obviously, this is true.
Questions 2. - Assuming the unique numbers are the same.
Questions 3. - Math, huh, what'cha talking about Willis?
Questions 4. - Proverbs 15:22
Questions 5. - Huh, more math?
Questions 6. - This it true
Questions 7. - Huh?
Questions 8. - The DEF fish ate the albacore 
Questions 9. - I saw it on You Tube, so it must be true.
Questions 10. More friggin' Math?
More
Difficulty:
4.5 out of 5
Terrain:
1 out of 5

Size: Size:   other (other)

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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 on this page. The correct coordinates are N40° 29.ABC W74° 25.DEF..

  1. This sentence is false.
  2. A, C, D and E are unique digits.
  3. ABC divides evenly by 9 and DEF divides evenly by 7 (i.e. ABC mod 9 = 0 and DEF mod 7 = 0).
  4. A man who sets out to fail will succeed.
  5. Both ABC and DEF are prime numbers.
  6. Cape May lighthouse is not farther west than High Point Monument, NJ.
  7. A, B, C are the first three false statements in this puzzle. (Respectively)
  8. ABC > DEF.
  9. God is not all-powerful as he cannot build a wall he cannot jump.
  10. The sum of ABC + DEF is a number between 677 and 1206.
  11. EF = the product of the last two false statments' line numbers.

Instructions: Some of the above statements are truthful, while some are lies. If you correctly identify the lies you can determine the coordinates of the cache uniquely. Sorry, hints are not available, nor, can I confirm coordinates.

Please no hints or subtle clues about the cache or how to solve the puzzle.
Thanks to The Rat and his Big Liar cache

Additional Hints (Decrypt)

[No Hints Available] Uvqqra ng gur onfr bs fbzrguvat.

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)