YES

This TRS is terminating using the deltasimple interpretation 
apply(delta1) =  + 1 + 0*delta1
app(delta0, X1, X0) =  + 1*X0 + 0*X1 + 0 + 0*X0*delta0 + 1*X1*delta0 + 0*delta0
app_tau_1(delta0) =  + (delta0/(0 + 1 * delta0))
app_tau_2(delta0) =  + (delta0/(1 + 0 * delta0))
SUCCESS

Statistics:
Number of monomials: 61