YES

This TRS is terminating using the deltasimple interpretation 
h(delta2, X4, X3) =  + 0*X3 + 1*X4 + 0 + 1*X3*delta2 + 3*X4*delta2 + 2*delta2
f(delta1, X2) =  + 1*X2 + 1 + 0*X2*delta1 + 0*delta1
g(delta0, X1, X0) =  + 0*X0 + 1*X1 + 0 + 1*X0*delta0 + 3*X1*delta0 + 0*delta0
h_tau_1(delta2) =  + (delta2/(1 + 3 * delta2))
h_tau_2(delta2) =  + (delta2/(0 + 1 * delta2))
f_tau_1(delta1) =  + (delta1/(1 + 0 * delta1))
g_tau_1(delta0) =  + (delta0/(1 + 3 * delta0))
g_tau_2(delta0) =  + (delta0/(0 + 1 * delta0))
SUCCESS

Statistics:
Number of monomials: 137