Input TRS:
    1: f(f(X)) -> c(n__f(g(n__f(X))))
    2: c(X) -> d(activate(X))
    3: h(X) -> c(n__d(X))
    4: f(X) -> n__f(X)
    5: d(X) -> n__d(X)
    6: activate(n__f(X)) -> f(X)
    7: activate(n__d(X)) -> d(X)
    8: activate(X) -> X
Number of Rules: 8
Direct QWPOS(Sum) ... orients all.
	I(c) = x1 + 8	sigma(c) = [1]
	I(d) = x1 + 1	sigma(d) = [1]
	I(f) = x1 + 5	sigma(f) = [1]
	I(g) = x1	sigma(g) = [1]
	I(h) = x1 + 9	sigma(h) = [1]
	I(activate) = x1 + 6	sigma(activate) = [1]
	I(n__d) = x1	sigma(n__d) = [1]
	I(n__f) = x1	sigma(n__f) = [1]
    PREC: activate > f = h > c = g = n__d = n__f > d
Number of Rules: 0