
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 the proposition p: "If $a > b > 0$, then $\log_{\frac{1}{2}}a < (\log_{\frac{1}{2}}b) + 1$", the number of true propositions among the original proposition, the converse, the inverse, and the contrapositive of proposition p is ______.

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