determine conclusively the rights of two or more contending parties with regard to any matter in controversy between them satisfies the test of an authority vested with the judicial powers of the State and may be regarded as a tribunal within the meaning of Article 136. Such a power of adjudication implies that the authority must act judicially and must determine the dispute by ascertainment of the relevant facts on the materials before it and by application of the relevant law to those facts. This test of a tribunal is not meant to be exhaustive, and it may be that other bodies not satisfying this test are also tribunals. In order to be a tribunal, it is essential that the power of adjudication must be derived from a statute or a statutory rule. An authority or body deriving its power of adjudication from an agreement of the parties, such as a private arbitrator or a tribunal acting under Section 10-A of the Industrial Disputes Act, 1947, does not satisfy the test of a tribunal within Article 136. It matters little that such a body or authority is vested with the trappings of a court. The Arbitration Act, 1940 vests an arbitrator with some of the trappings of a court, so also the Industrial Disputes Act, 1947 vests an authority acting under Section 10-A of the Act with many of such trappings, and yet, such bodies and authorities are not tribunals.