YES

This TRS is terminating using the restricteddeltasimple interpretation 
a(delta2) =  + 0 + 0*delta2
f(delta1, X0) =  + 0*X0 + 1 + 1*X0*delta1 + 0*delta1
c(delta0) =  + 0 + 0*delta0
f_tau_1(delta1) =  + (delta1/(0 + 1 * delta1))

Time: 0.010152 seconds
SUCCESS

Statistics:
Number of monomials: 47