Using the continuum hypothesis, we produce an example answering three problems from the theory of right processes. In particular, we give a nontrivial example of a strong Markov process which is not a right process.
Thomas S. Salisbury. "Three Problems from the Theory of Right Processes." Ann. Probab. 15 (1) 263 - 267, January, 1987. https://doi.org/10.1214/aop/1176992267