
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
A rectangular prism has twelve edges, eight vertices, and is formed by connecting points in 3D space such that its lengths are $a$, $b$, and $c$ where $a \neq b \neq c$. A segment $x$ which joins two vertices not joined by an edge is called a diagonal. Segment $y$ is also a diagonal. Calculate the total number of diagonals in this rectangular prism.

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