YES

This TRS is terminating using the deltasimple interpretation 
g(delta1, X3) =  + 1*X3 + 0 + 0*X3*delta1 + 0*delta1
f(delta0, X2, X1, X0) =  + 1*X0 + 1*X1 + 1*X2 + 0 + 0*X0*delta0 + 0*X1*delta0 + 0*X2*delta0 + 1*delta0
g_tau_1(delta1) =  + (delta1/(1 + 0 * delta1))
f_tau_1(delta0) =  + (delta0/(1 + 0 * delta0))
f_tau_2(delta0) =  + (delta0/(1 + 0 * delta0))
f_tau_3(delta0) =  + (delta0/(1 + 0 * delta0))
SUCCESS

Statistics:
Number of monomials: 195