A bench headed by Chief Justice R M Lodha adjourned the case for five weeks and also allowed the petitioner to file rejoinder on Mayawati's reply.
The apex court had on January 17 agreed to hear the PIL filed by a Uttar Pradesh resident Kamlesh Verma seeking registration of a case against the former Chief Minister.
Eighteeen months after quashing a disproportionate assets (DA) case against BSP chief Mayawati on a technical ground, the Supreme Court had questioned why CBI had not filed a fresh FIR in the case.
By its July 2012 verdict, the court had quashed a nine- year-long DA case against Mayawati on the ground that the agency proceeded against her without properly understanding its 2003 orders which were confined to the Taj Corridor case relating to release of Rs 17 crore by UP government allegedly without sanction.
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"The situation is that despite there being credible evidence having been collected against her indicating her disproportionate assets, she is moving scot free because after collection of evidence and preparation of charge sheet, this Court has found that the investigation was without the authority of law," the petition said.
"The inaction of the CBI in registering a fresh FIR against her after taking due sanction under the Delhi Special Police Establishment Act despite there being credible evidence having been collected against her of having disproportionate assets is clearly arbitrary and hence, violative of the Constitution," it said.