
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
A gas station has 5 valves to control the external delivery of gas. The use of these valves must follow the operating rules below:
- (i) If valve 1 is opened, then valve 2 must also be opened and valve 5 must be closed;
- (ii) If valve 2 or valve 5 is opened, then valve 4 must be closed;
- (iii) Valves 3 and 4 cannot be closed at the same time. Now, if valve 1 needs to be opened, the two valves that must be opened simultaneously are ______.

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