
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Indiana Jones reached an abandoned temple in the jungle and entered the treasury. There were 5 chests, with the knowledge that only one contains the treasure, and the others trigger a stone slab to fall on the head of anyone who tries to open them. The chests are numbered from left to right.

- The first, fourth, and fifth chests are made of cedar.
- The second and third chests are made of sandalwood.
- The inscriptions on the chests are as follows:
  - On the first chest: "The treasure is in me or in the 4th chest."
  - On the second chest: "The treasure is in the chest to the left of me."
  - On the third chest: "The treasure is in me or in the chest at the far right."
  - On the fourth chest: "There is no treasure in the chests to the left of me."
  - On the fifth chest: "All the inscriptions on other chests are false."

The last guardian of the temple, before dying, revealed to Indiana a secret: an equal number of false statements are written on both cedar and sandalwood chests. 

In which chest is the treasure?

Present the answer in LaTex format: \boxed{Your answer}
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