
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 following 6 statements:

1. Every woman is a good driver.
2. Every good driver is a woman.
3. There are no good male drivers.
4. Every man is a bad driver.
5. At least one man is a bad driver.
6. Every man is a good driver.

What is the negation of the 6th statement, and why? Are there any equivalent statements?

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