
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 caskets, and it is known that only one of them contains the treasure, while the others will cause a stone slab to fall on the person trying to open them. The caskets are numbered from left to right. The first, fourth, and fifth are made of cedar, and the second and third are made of sandalwood.

- The first casket says, "The treasure is in me or in the 4th casket."
- The second casket says, "The treasure is in the casket to the left of me."
- The third casket says, "The treasure is in me or in the casket furthest to the right."
- The fourth casket says, "There is no treasure in any of the caskets to the left of me."
- The fifth casket says, "All the other caskets have false statements."

The last guardian of the temple revealed to Indiana with his dying breath: On the cedar and sandalwood caskets, there is an equal number of false statements. In which casket is the treasure?

Answer: 2.

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