
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
Among the following four statements:  
① If line $a$ is parallel to plane $\alpha$, and line $b$ is contained in plane $\alpha$, then line $a$ is parallel to line $b$.  
② If line $a$ intersects plane $\alpha$ at point $P$, and line $b$ is contained in plane $\alpha$, then line $a$ is not parallel to line $b$.  
③ If line $a$ is not contained in plane $\alpha$, then line $a$ is parallel to plane $\alpha$.  
④ If line $a$ is parallel to plane $\alpha$, and line $b$ is parallel to plane $\alpha$, then line $a$ is parallel to line $b$.  
The incorrect statements are:

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