YES

This TRS is terminating using the deltasimple interpretation 
f(delta1, X0) =  + 1*X0 + 0 + 0*X0*delta1 + 1*delta1
g(delta0) =  + 0 + 0*delta0
f_tau_1(delta1) =  + (delta1/(1 + 0 * delta1))
SUCCESS

Statistics:
Number of monomials: 10