A joint statement, issued by some Congress leaders and former ministers led by JKPCC vice president Janak Raj Gupta, reads that Soz should have owned moral responsibility for the party's drubbing in the Assembly polls and resigned from his post.
They believe that Soz's resignation will pave way for a new state Congress chief who will be able to revive and strengthen the party unit in the state.
This faction of party leaders, supposed to be close to former J&K Chief Minister Ghulam Nabi Azad, also criticised Soz for setting up two committees in the state for starting membership drive and demanded its dissolution.
They said that instead of setting up these committees the leadership should have identified reasons for the party's poll debacle.
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Soz had last week setup two committees in Jammu and Kashmir for initiating membership drive from next month.
The party faced the worst drubbing and a virtual rout from Jammu region particularly in Chenab Valley, which is also the home turf of Azad. Congress had five out of the six seats in Chenab Valley but bitterly lost to BJP which took four out of six seats in the recent elections.