The government acted unconstitutionally because it announced plans to withdraw from the human rights tribunal based in The Hague, Netherlands, without consulting the South African parliament, the Democratic Alliance party said in an affidavit asking the Constitutional Court to hear its case. It described the government move as hasty and "procedurally irrational."
South Africa has said a withdrawal bill will soon go to parliament, where the ruling African National Congress party has a majority and is likely to approve the measure.
Some African countries have argued that the court has unfairly targeted their continent and that they are strengthening their own institutions to deal with threats to human rights.
Also last week, President Pierre Nkurunziza of Burundi signed legislation to withdraw from the ICC, which had said it would investigate political violence that followed Nkurunziza's decision last year to pursue a third term, which some have called unconstitutional.
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Speaking in South Africa, Dlamini-Zuma cited the trial of Chad's former president, Hissene Habre, as an example that Africa has the capacity to prosecute its own leaders, reported News24, a South African media organization. In May, a court in Senegal found Habre guilty of torture, mass killing and other violations and sentenced him to life in prison.
Under the Rome Statute that created the International Criminal Court, signatory countries have a legal obligation to arrest anyone sought by the tribunal. South Africa said the treaty contradicts South Africa's diplomatic immunity law and prevents the country from acting as a regional peacemaker, a role that could require it to host adversaries on its own soil.