YES TRS: from(X) -> cons(X,n__from(n__s(X))) after(0(),XS) -> XS after(s(N),cons(X,XS)) -> after(N,activate(XS)) from(X) -> n__from(X) s(X) -> n__s(X) activate(n__from(X)) -> from(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X max/plus interpretations on N: from_A(x1) = max{9, -2} from#_A(x1) = max{6, 3} cons_A(x1,x2) = max{9, 1, 8 + x2} cons#_A(x1,x2) = max{6, 1, 5 + x2} n__from_A(x1) = max{1, -1} n__from#_A(x1) = max{6, 4} n__s_A(x1) = max{16, 8 + x1} n__s#_A(x1) = max{1, 6} after_A(x1,x2) = max{0, -8 + x1, x2} after#_A(x1,x2) = max{3, 1 + x1, 2} 0_A = 0 0#_A = 0 s_A(x1) = max{16, 8 + x1} s#_A(x1) = max{0, 7} activate_A(x1) = max{9, 1 + x1} activate#_A(x1) = max{8, 2} precedence: after > activate > from = s > cons = n__from = n__s = 0