Complex sentence: In May 2013, the Greek athletics federation suspended her athletic benefits effective from 1/4/2013, stating that the athlete's benefits would be reinstated if she began training with an approved coach and resumed high-level competition.
Split into simpler sentences: In May 2013, the Greek athletics federation suspended her athletic benefits effective 1/4/2013. They said that the benefits would be reinstated if she began training with an approved coach and resumed high-level competition.