
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
The heights of the lateral faces of two regular quadrilateral pyramids are one unit each. The lengths of their lateral edges are 1.25 units and 1.33 units, respectively. Which one has a greater volume?

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