YES

This TRS is terminating using the deltasimple interpretation 
a(delta4) =  + 0 + 0*delta4
c(delta3) =  + 1 + 0*delta3
d(delta2) =  + 0 + 0*delta2
b(delta1) =  + 0 + 2*delta1
f(delta0, X1, X0) =  + 0*X0 + 0*X1 + 0 + 1*X0*delta0 + 3*X1*delta0 + 0*delta0
f_tau_1(delta0) =  + (delta0/(0 + 3 * delta0))
f_tau_2(delta0) =  + (delta0/(0 + 1 * delta0))
SUCCESS

Statistics:
Number of monomials: 54