You are using a "heat pump" to move the heat energy around, like a water pump for moving water.
The heat is not "cooled", it's just moved from the evaporator side to the condenser side - at a cost of using yet more energy to operate the pump.
It's basic Thermodynamics:
The first and second law prohibit two kinds of perpetual motion machines, respectively: the perpetual motion machine of the first kind which produces work with no energy input,
and the perpetual motion machine of the second kind which spontaneously converts thermal energy into mechanical work.
In electrical terms, think of it like something that has eg. a charge of a thousand volts on it - but you cannot connect it to something a _different_ voltage to get a current flow and therefore power (watts); if the flow (amps) is zero, any number of volts * zero = zero watts.