
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 distinct positive integer, are placed face-down on a table. Additionally, these numbers satisfy these conditions: 
(a) they are in ascending order from left to right, 
(b) their total sum equals $15$, 
and (c) no card holds a number less than 1. 
First, Ada peeks at the leftmost card and concludes, "I don't have enough information to determine the numbers on the other two cards." Following this, Bella looks at the rightmost card and similarly states, "I do not have enough information to determine the numbers on the other two cards." What number is on the middle card?
A) 4 
B) 5 
C) 6 
D) 7  
E) There is not enough information to determine the number.

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