  Fractional Josephson effect is a unique character of Majorana Fermions in
topological superconductor system. This effect is very difficult to detect
experimentally because of the disturbance of quasiparticle poisoning and
unwanted couplings in the superconductor. Here, we propose a scheme to probe
fractional DC Josephson effect of semiconductor nanowire-based topological
Josephson junction through 4{\pi} phase slip. By exploiting a topological RF
SQUID system we find that the dominant contribution for Josephson coupling
comes from the interaction of Majorana Fermions, resulting the resonant
tunneling with 4{\pi} phase slip. Our calculations with experimentally
reachable parameters show that the time scale for detecting the phase slip is
two orders of magnitude shorter than the poisoning time of nonequilibrium
quasiparticles. Additionally, with a reasonable nanowire length the 4{\pi}
phase slip could overwhelm the topological trivial 2{\pi} phase slip. Our work
is meaningful for exploring the effect of modest quantum fluctuations of the
phase of the superconductor on the topological system, and provide a new method
for quantum information processing.
