Will my payment recovery case be time-barred after several years?

I am the proprietor of a small manufacturing concern enlisted as vendor/supplier of The WBSIDCL ('Corporation') supplying steel furniture equipment to WB Govt Hospitals. In FY 2012-13, I had supplied furniture & equipment to one State Govt Hospital against 9 sale invoices billed to the Corporation which were accepted and signed along with delivery challans by the Corporation. However, as the Corporation did not receive payments from the Hospital against its own invoices billed to the indenter Hospital, my payments have been held up. Despite several written communications in all these years, the Corporation has made no serious effort to recover the payment from its indenter and clear my payments. If I want to file a court case now seeking recovery of my dues, will it be time barred? How long will the case take to settle considering the dues to be within 5L-10L? There is no arbitration clause or payment clause in any document issued to me from the Corporation.