
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
In a tug-of-war competition, class 3, class 4, and class 5 were victorious in the preliminary rounds. Three judges made predictions about the champion: Judge A said: "The champion will not be class 3, nor class 4"; Judge B said: "The champion will not be class 3, it must be class 5"; Judge C said: "The champion will not be class 5, it will be class 3". After the result of the match came out, one of them had both predictions right, one had both wrong, and another had one correct and one incorrect prediction. Thus, the champion is class ＿.

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