
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
Given that $m$ and $n$ are two different lines, and $α$ and $β$ are two different planes, which of the following propositions is not true?

(1) If $α$ is parallel to $β$, $m$ is a subset of $α$, and $n$ is a subset of $β$, then $m$ is parallel to $n$.

(2) If $m$ is parallel to $β$, and $β$ is perpendicular to $α$, then $m$ is perpendicular to $α$.

(3) If $m$ is perpendicular to $α$, and $m$ is a subset of $β$, then $α$ is perpendicular to $β$.

(4) If $m$ is parallel to $α$, $n$ is parallel to $β$, and $m$ is parallel to $n$, then $α$ is parallel to $β$.

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