Input TRS:
    1: a__f(f(X)) -> a__c(f(g(f(X))))
    2: a__c(X) -> d(X)
    3: a__h(X) -> a__c(d(X))
    4: mark(f(X)) -> a__f(mark(X))
    5: mark(c(X)) -> a__c(X)
    6: mark(h(X)) -> a__h(mark(X))
    7: mark(g(X)) -> g(X)
    8: mark(d(X)) -> d(X)
    9: a__f(X) -> f(X)
    10: a__c(X) -> c(X)
    11: a__h(X) -> h(X)
Number of Rules: 11
Direct QWPOS(mSum) ... orients all.
	I(mark) = x1 + 1	sigma(mark) = [1]
	I(a__c) = x1	sigma(a__c) = [1]
	I(a__f) = x1 + 2	sigma(a__f) = [1]
	I(a__h) = x1 + 2	sigma(a__h) = [1]
	I(c) = x1	sigma(c) = [1]
	I(d) = x1	sigma(d) = [1]
	I(f) = x1 + 2	sigma(f) = [1]
	I(g) = x1	sigma(g) = [1]
	I(h) = x1 + 2	sigma(h) = [1]
    PREC: mark > a__f = a__h > a__c = g = h > c = d = f
Number of Rules: 0