YES

This TRS is terminating using the restricteddeltasimple interpretation 
activate(delta13, X9) =  + 1*X9 + 0 + 0*X9*delta13 + 2*delta13
g(delta12, X8) =  + 0*X8 + 0 + 1*X8*delta12 + 1*delta12
a(delta11) =  + 0 + 2*delta11
n__f(delta10, X7) =  + 0*X7 + 2 + 2*X7*delta10 + 1*delta10
n__a(delta9) =  + 0 + 1*delta9
n__g(delta8, X6) =  + 0*X6 + 0 + 1*X6*delta8 + 0*delta8
f(delta7, X5) =  + 0*X5 + 2 + 2*X5*delta7 + 2*delta7
activate_tau_1(delta13) =  + 1(delta13/(1 + 0 * delta13))
g_tau_1(delta12) =  + 1(delta12/(0 + 1 * delta12))
n__f_tau_1(delta10) =  + 1(delta10/(0 + 2 * delta10))
n__g_tau_1(delta8) =  + 1(delta8/(0 + 1 * delta8))
f_tau_1(delta7) =  + 1(delta7/(0 + 2 * delta7))

Time: 12.061979 seconds
SUCCESS

Statistics:
Number of monomials: 521
Last formula building started for bound 3
Last SAT solving started for bound 3