The Executive Branch
The President of the United States, who currently (in 2013) is Barack Obama, has the responsiblity of carrying out the laws enacted by Congress as interpreted by the Supreme Court.
Since it is the Supreme Court that decides what is constitutional and what is not, the decisions of the Supreme Court cannot be unconstitutional, however, it is always possible for the Supreme Court to make new decisions which reverse older decisions. So in theory, if the Supreme Court does something wrong, they will be reversed by a later sitting of the same court (but with new judges).
Congress can attempt to rewrite the law so that it conforms with the Supreme Court's interpretation of the Constitution; or, they can abandon an ill-conceived law; or, they can attempt to call a Constitutional Convention or work with the states to amend the Constitution (the least likely and most time-consuming solution). Congress cannot nullify the Supreme Court decision, however. In most cases, they either rewrite or abandon the legislation. Congress also sometimes ignores Supreme Court decisions, although they are not supposed to.
The guiding force in the US for US Supreme Court decisions is the US Constitution. The Supreme Court is one of the three major parts of the Federal government. Through the Congress, the Executive branch and the Court, a balance of power was created.
The US Supreme Court lacks the ability to enforce its own decisions, which is a check on the Judicial Branch of government. The Executive Branch is vested with the authority and obligation to enforce Supreme Court decisions, and the Legislative branch can support a decision by passing laws upholding the Court's finding.
The decisions of the Marshall Court established the Supreme Court as a branch of government equal to Congress and the Presidency.
The Supreme Court
The Legislative (Congress) and possibly Executive branches would benefit if Congress had the power to nullify US Supreme Court decisions, because their power would then be unchecked by the Judicial branch. Such authority would violate separate powers established by the Constitution to ensure no single branch of government becomes too dominant, and would allow Congress to ignore the Bill of Rights and other Amendments, to the detriment of US residents.
Veto
Supreme Court Report Annotated is the name of the bound series of legal decisions of the Philippines Supreme Court. There is no publication specifically listed as Supreme Court Annotated Decisions or Supreme Court Decisions Annotated, except for a few US historical documents listed as Supreme Court Decisions [annotated].You didn't specify whether you were looking for official documentation for the Philippines or the United States. In the United States, the comparable, annotated volumes of Supreme Court decisions is called US Supreme Court Reports, lawyers' edition.
Whenever a U. S. President is in violation of the law as interpreted by the U. S. Supreme Court (or even if he/she is in violation of a law that the Supreme Court has not tested), it is the responsibility of Congress to impeach him/her.
The Supreme Court has made many decisions. Provide a case or subject and an answer can be given.