
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 with distinct positive integers are arranged in increasing order from left to right on a table. They sum to 16. Andy, Beth, and Cindy know the conditions and each look at one card: Andy the leftmost, Beth the middle, Cindy the rightmost. Each makes a statement about their ability to know the other two numbers:
1. Andy: "I don’t know what the other two numbers are."
2. Cindy: "I don’t know what the other two numbers are."
3. Beth: "I still don't know all the numbers."

Given these statements, what number is on the middle card?
A) 4
B) 5
C) 6
D) 7
E) 8

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