
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 proposition $p$: The solution set of the inequality $x^{2}+(a-1)x+a^{2}\leqslant 0$ about $x$ is $\varnothing$;
The proposition $q$: The function $y=(2a^{2}-a)^{x}$ is an increasing function.
If the disjunction $p\lor q$ is a true proposition and the conjunction $p\land q$ is a false proposition, find the range of the real number $a$.

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