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Even if these results are confirmed, SR will no more disappear than Newtonian mechanics has. The fact that predictions involving SR have, in at least certain situations, been confirmed to 11 decimal places seems to be a pretty good indication that it is extremely useful, even if it turns out not to be exactly correct.

Also, Einstein made no reference to the Michelson Morley experiment in his original paper; and, it is not entirely clear whether he knew about it at all at that time. His original postulates are based more on the theoretical understanding of Maxwell's equations and of inertia than on specific results in the search for the ether.

if CERN proved true, it will not only disqualify SR based on supraluminal travel but also because it implies that C is not invariant ,,, Even in Einstein own words “ if c proved not invariant, SR and GR would collapse like a castle of cards”

SR can not be dealt on the same footing as newton mechanics. If you want similar example, you may consider quantum mechanics. Both Newton and quantum mechanics introduced a physical functions to build up theories. That was the concept of force f=ma in Newton approach and the concept of wave function in case of QM.