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We consider the task of certification of genuine entanglement of tripartitestates. For this purpose, we first present an "all-versus-nothing" proof ofgenuine tripartite Einstein-Podolsky-Rosen (EPR) steering by demonstrating thenon-existence of a hybrid local hidden state (LHS) model in the tripartitenetwork as a motivation to our main result. A full logical contradiction of thepredictions of the hybrid LHS model with quantum mechanical outcome statisticsfor any three-qubit generalized Greenberger-Horne-Zeilinger (GGHZ) states andpure W-class states is shown. Using logical contradiction, we can distinguishbetween the GGHZ and W-class state in a two-sided device-independent (2SDI)steering scenario. We next formulate a 2SDI steering inequality which is ageneralization of the fine-grained steering inequality (FGI) derived in\cite{PKM14} for the tripartite scenario. We show that the maximum quantumviolation of this tripartite FGI can be used to certify genuine entanglement ofthree-qubit pure states.

"All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario