I think this is complete...
1.Rd4 Kf2 (forced) 2.Kd3 leads to four alternatives;
a) 2...Kxf1 3.Ke3 Kg1 4.Rh4 Kf1 (forced) 5.Rh1#
or 3...Kxe1 4.Kf3 Kf1 (forced) 5.Rd1#
b) 2...Kxe1 3.Ke3 Kxf1 (forced) 4.Rg4 Ke1 5.Rg1#
c) 2...Kg3 3.Ke3 Kh2 (forced) 4.Kf2 Kh1 5.Rh4#
d) 2...Kg1 3.Ke2 Kh2 4.Kf2 Kh1 (forced) 5.Rh4#
or 3...Kh1 4.Rh4+ Kg1 (forced) 5.Nf3#
Nice puzzle, now back to work....