YES

This TRS is terminating using the deltasimple interpretation 
norm(delta6, X7) =  + 1*X7 + 0 + 1*X7*delta6 + 0*delta6
f(delta5, X6, X5) =  + 1*X5 + 0*X6 + 1 + 1*X5*delta5 + 1*X6*delta5 + 0*delta5
nil(delta4) =  + 1 + 0*delta4
0(delta3) =  + 0 + 0*delta3
s(delta2, X4) =  + 1*X4 + 1 + 0*X4*delta2 + 0*delta2
g(delta1, X3, X2) =  + 0*X2 + 1*X3 + 1 + 1*X2*delta1 + 0*X3*delta1 + 0*delta1
rem(delta0, X1, X0) =  + 0*X0 + 1*X1 + 0 + 1*X0*delta0 + 0*X1*delta0 + 1*delta0
norm_tau_1(delta6) =  + (delta6/(1 + 1 * delta6))
f_tau_1(delta5) =  + (delta5/(0 + 1 * delta5))
f_tau_2(delta5) =  + (delta5/(1 + 1 * delta5))
s_tau_1(delta2) =  + (delta2/(1 + 0 * delta2))
g_tau_1(delta1) =  + (delta1/(1 + 0 * delta1))
g_tau_2(delta1) =  + (delta1/(0 + 1 * delta1))
rem_tau_1(delta0) =  + (delta0/(1 + 0 * delta0))
rem_tau_2(delta0) =  + (delta0/(0 + 1 * delta0))
SUCCESS

Statistics:
Number of monomials: 376