
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
If the proposition "There exists $x\in R$ such that $x^{2}+2x+m\leqslant 0$" is false, and the range of $m$ is $\left(a,+\infty \right)$, then the value of the real number $a$ is ______.

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