
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
Three cards, each with a positive integer written on them, are lying face-down on a table. Bella, Della, and Nella are informed that:
(a) the numbers are distinct,
(b) they sum to $20$,
(c) they are sorted in ascending order from left to right.
Initially, Bella looks at the number on the left card and declares, "I can't precisely determine the other two numbers." Della then views the number on the middle card and comments, "I can't determine the other two numbers either." Lastly, Nella examines the rightmost card and similarly notes, "I don't have enough information to determine the other two numbers." Assuming each knows that the others reason perfectly and hears their statements, what is the number on the middle card?
A) 2
B) 3
C) 5
D) 6
E) 8

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