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

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