YES

This TRS is terminating using the deltarestricted interpretation 
add(delta5) =  + 1 + 1*delta5
curry(delta4) =  + 0 + 0*delta4
s(delta3) =  + 0 + 0*delta3
0(delta2) =  + 0 + 0*delta2
plus(delta1) =  + 0 + 0*delta1
app(delta0, X1, X0) =  + 1*X0 + 1*X1 + 1 + 0*X0*delta0 + 1*X1*delta0 + 0*delta0
app_tau_1(delta0) =  + 1(delta0/(1 + 1 * delta0))
app_tau_2(delta0) =  + 1(delta0/(1 + 0 * delta0))

Time: 39.258249 seconds
SUCCESS

Statistics:
Number of monomials: 2695
Last formula building started for bound 1
Last SAT solving started for bound 1