
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
There is a mall with five doors that customers can use to enter and exit. The use of these doors must adhere to the following operational rules: 
(1) If door 1 is opened, then door 2 must also be opened and door 5 must be closed; 
(2) If door 2 or door 5 is opened, then door 4 should be closed; 
(3) Doors 3 and 4 cannot be closed at the same time. 
Now, door 1 has already been opened, so the numbers of the two additional doors that must be opened at the same time are ______.

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