
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 are three propositions: (1) The inverse of "If $x+y=0$, then $x$ and $y$ are opposite numbers." (2) The contrapositive of "If $a>b$, then $a^2>b^2$." (3) The negation of "If $x\leq-3$, then $x^2+x-6>0$." Among these, the number of true propositions is.

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