CrossFit is a well-known trademark and therefore enjoys wide scope of protection. The trademarks are similar and the services identical.
The court disagrees. The claim of a well-known trademark has not been well motivated, because the evidence submitted is focused on America and not the European Union.
The CrossFit brand does not enjoy broad protection because it is deemed somewhat descriptive. CROSS is derived from Cross training (a mix of training forms) and Fit refers to Fitness. Using the word BOX creates sufficient distance. Slightly descriptive names are very attractive from a marketing perspective, but remember that the scope of protection is limited.