
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
Sherlock Holmes and Dr. Watson find another suitcase with a different three-digit combination lock, and a new cryptic message "STARS RATS ARTS: START". Dr. Watson theorizes that the message represents the equation $STARS + RATS + ARTS = START$, where each letter represents a distinct digit, and the word 'START' implies the problem is in base 12.

Holmes quickly opens the suitcase by turning the combination lock to the value of $STA$, interpreted as decimal digits. What was the lock combination?

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