  The Riemann Hypothesis is a conjecture that all non-trivial zeros of Riemann
Zeta function are located on the critical line in the complex plane. Hundreds
of propositions in function theory and analytic number theory rely on this
hypothesis. However, the problem has been unresolved for over a century. Here
we show that at least one set of quadruplet-zeros exists outside the critical
line through expanding the infinite product of the Riemann Xi zero function. We
found that assuming there are no zeros outside the critical line will result in
a contradiction with the known result that the reciprocal sum of all zeros of
the xi-function is a constant, thereby refuting the Riemann Hypothesis.
