
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
At eight o'clock in the evening, two candles of the same height are lit. It is known that one of them burns out in 5 hours, and the other burns out in 4 hours. After some time, the candles were extinguished. The remaining stub of the first candle turned out to be four times longer than that of the second. When were the candles extinguished?

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