A “two-cycle” internal combustion engine has a single or multi-stage pre-cooled compression, which allows the temperature and pressure of intake air to the combustion cylinders to be tightly controlled, so that a much higher compression ratio and pre-ignition compression pressure can be achieved without approaching the auto-ignition threshold. Because this design can effectively regulate and set the maximum pre-ignition temperature of the fuel-air mixture, it can combust virtually any type of liquid hydrocarbon fuel without knocking. This “two-cycle” engine, due to its higher compression ratio, generates power equivalent to or greater than a four-cycle “CWPSC” engine in a smaller and lighter engine and at the same or higher efficiency.