"No.. What is the use? The allegations raised are already a settled matter by the Supreme Court which had given a final seal on the issue," Kurien told PTI here.
He was responding to a question on whether he plans to quit the Deputy Chairperson's post following the recent developments in the case.
"If the allegations were new and if it is at inquiry stage, then the question of resignation is relevant. But, here the charges are 17 years old and inquired three times by police, that too both under the governments of Congress-led UDF and CPI-M-led LDF," Kurien said.
The allegations were also examined and cleared by the Kerala High Court and the apex court, he said adding, "it is a closed matter".
Kurien also claimed he had full support of Congress party on the matter.
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It was a "political conspiracy" by CPI-M and the motive behind raking up the issue now was Lok Sabha elections in 2014, he charged.
"CPI-M wants to use the issue during the next polls", Kurien said.
He said similar allegations had been raised earlier also against him just before the general elections.
Justifying his position in the case, Kurien said "on a matter settled by the Supreme Court, can anybody reopen it?"
The girl from Suryanelli in Idukki district of Kerala was abducted in January 1996 and transported from place to place across Kerala and sexually exploited by different persons.
The LDF and various women's organisations have demanded Kurien's resignation.
The state assembly was rocked yesterday on the issue with opposition LDF forcing its adjournment after government rejected its demand to re-investigate the 17-year-old case.