
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
Find five different natural numbers $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}$, $\mathrm{D}$, and $\mathrm{E}$ that satisfy the following seven conditions:
1. These numbers are all less than 10;
2. $\mathrm{A}$ is greater than 5;
3. $\mathrm{A}$ is a multiple of $\mathrm{B}$;
4. $\mathrm{C}$ and $\mathrm{A}$ sum to $\mathrm{D}$;
5. $\mathrm{B}$, $\mathrm{C}$, and $\mathrm{E}$ sum to $\mathrm{A}$;
6. The sum of $\mathrm{B}$ and $\mathrm{C}$ is less than $\mathrm{E}$;
7. The sum of $\mathrm{C}$ and $\mathrm{E}$ is less than $\mathrm{B} + 5$.

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