A waste heat boiler system for cooling a process gas, including a first shell-and-tube heat exchanger for cooling relatively hot gas down to relatively warm gas, an intermediate chamber for receiving gas, cooled down to relatively warm gas, coming out of tubes of the first heat exchanger, and a second shell-and-tube heat exchanger for cooling relatively warm gas further down to relatively cool gas. The intermediate chamber is provided with an outlet fluidly connected to a bypass channel for allowing a part of the relatively warm gas to bypass tubes of the second heat exchanger. The bypass channel and tubes of the second heat exchanger are both fluidly connected with a mixing chamber for mixing together relatively warm gas flowed from the intermediate chamber into the mixing chamber via the bypass channel and relatively cool gas come out of the tubes of the second heat exchanger.