YES

This TRS is terminating using the restricteddeltasimple interpretation 
activate(delta6, X4) =  + 1*X4 + 0 + 0*X4*delta6 + 2*delta6
g(delta5, X3) =  + 0*X3 + 0 + 1*X3*delta5 + 1*delta5
a(delta4) =  + 0 + 1*delta4
n__f(delta3, X2) =  + 0*X2 + 1 + 3*X2*delta3 + 0*delta3
n__a(delta2) =  + 0 + 0*delta2
n__g(delta1, X1) =  + 0*X1 + 0 + 1*X1*delta1 + 0*delta1
f(delta0, X0) =  + 0*X0 + 1 + 3*X0*delta0 + 1*delta0
activate_tau_1(delta6) =  + (delta6/(1 + 0 * delta6))
g_tau_1(delta5) =  + (delta5/(0 + 1 * delta5))
n__f_tau_1(delta3) =  + (delta3/(0 + 3 * delta3))
n__g_tau_1(delta1) =  + (delta1/(0 + 1 * delta1))
f_tau_1(delta0) =  + (delta0/(0 + 3 * delta0))

Time: 27.619463 seconds
SUCCESS

Statistics:
Number of monomials: 521