The total time to Kyoto from Island Center Rokko Liner is a little more than one hour. From Island Center pay 240 yen for adult to Sumiyoshi (last stop) to take JR line. For Kyoto you will be buying a 1050 yen ticket. Take track 2 from Sumiyoshi to Ashiya. Should be three stops. Any train towards Kyoto from Sumiyoshi will stop at Ashiya. You will arrive at track 2. You need only walk to the otherside of the same platform to track 1. From track 1 you are taking the Shinkaisoku which the Hotel told me would be blue line. It was five stops from Ashiya to Kyoto. The is kinds like a express train. The nice thing is that this train stops at Osaka Station and Shin Osaka before reaching Kyoto. That means those areas also become very accessible from Kobe. Regards from Kyoto