B757 First Officer reported excessive cabin and cockpit temperature during climb. The crew was unable to control the temperature; and returned to land overweight at the departure airport.

Narrative

Myself and Captain pushed back flight XXXX from ZZZ to ZZZ1 on time and taxied to runway XXL from [gate] XX. After the take off roll and initial climb out the cockpit started to become uncomfortably warm. The temperature was uncontrollable using the air con panel and continued to rise. At around 12000ft the temperature was almost unbearable and we quickly realized if we continued this would soon deteriorate into a major physical distraction. Captain's attempt to cool the cockpit were initially unsuccessful and at around 16000ft we both agreed that an air return would be necessary.I continued to fly the jet and manage the radios while Captain's efforts were coordinating with dispatch; flight attendants and informing the passengers. We leveled off at 19000 ft and flew direct to ZZZZZ to join the ZZZZZ1 arrival as instructed. Captain [advised ATC] due to the aircraft being approximately 3000lbs overweight for landing. I landed and Captain taxied the aircraft off the runway for the ARFF (Airport Rescue and Firefighting) inspection. We were given the all clear from ARFF and we continued to taxi to gate XY and deplane without further incident.