On 17 October 2013, a Falcon 900 climbing as cleared to FL 340 and being operated as a State Aircraft equipped with TCAS II v7.0 initially responded to a TCAS RA against crossing traffic at FL 350 in day VMC in the opposite direction to the one directed and prescribed separation was lost as a result. The Investigation concluded that the F900 crew had commenced a climb on receipt of a TCAS RA 'ADJUST VERTICAL SPEED' when a reduction in the 800 fpm rate of climb was required. Safety Recommendations were made in respect of TCAS RA requirements for State Aircraft.