
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 that \( f(x) \) is an odd function defined on \((-1, 1)\), is monotonically decreasing on the interval \([0, 1)\), and satisfies \( f(1-a) + f\left(1-a^2\right) < 0 \), determine the range of the real number \( a \).

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