Is there a problem when you mix super premium gas with other type of gas to your engine tank?

No it is not a problem but not necessary. You should use exactly what the manufacture recommends. Using a higher octane fuel in a car designed for 87 octane will provide no benefit whatsoever and is a total waste of money. However using a lower octane fuel in a car designed to run on premium will lower the power of the engine and decrease fuel mileage. With todays modern fuel management systems the ECU in the vehicle will make the adjustments for the lower octane fuel. However on an older vehicle designed to run on premium using regular can cause engine damage over time due to pre-detonation or what is comely called pinging. This is real simple, use exactly what the manufacture of your vehicle recommends and you cannot go wrong.