Non-orthogonal multiple access (NOMA) and the cooperative relaying systems are two of the promising techniques to meet requirements of future wireless networks such as high spectral efficiency and wide coverage area. On the other hand, the energy efficiency has also high priority in the applications with limited energy such as sensor networks and/or internet of things (IoTs). To this end, in this paper, we propose wireless powered cooperative relaying system with NOMA thereby increasing spectral and energy efficiency. We consider three different energy harvesting (EH) protocols (i.e., power sharing (PS), time sharing (TS) and ideal) and for all three EH protocols, we derive achievable rate for the considered system model. We validate the analysis with computer simulations and present the effectiveness of wireless powered system compared to the benchmark.