
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 a non-empty set $S={x|m≤x≤l}$, it satisfies the condition that when $x∈S$, we have $x^{2}∈S$. The following four propositions are provided:
1. If $m=1$, then $S={1}$;
2. If $l=1$, then the range of $m$ is $[-1,1]$;
3. If $m=- \dfrac {1}{3}$, then the range of $l$ is $[ \dfrac {1}{9},1]$.
Identify the sequence number(s) of all true propositions.

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