TRS: { a__fact(X) -> a__if(a__zero(mark(X)), s(0()), prod(X, fact(p(X)))), a__add(0(), X) -> mark(X), a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))), a__prod(0(), X) -> 0(), a__prod(s(X), Y) -> a__add(mark(Y), a__prod(mark(X), mark(Y))), a__if(true(), X, Y) -> mark(X), a__if(false(), X, Y) -> mark(Y), a__zero(0()) -> true(), a__zero(s(X)) -> false(), a__p(s(X)) -> mark(X), mark(fact(X)) -> a__fact(mark(X)), mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3), mark(zero(X)) -> a__zero(mark(X)), mark(prod(X1, X2)) -> a__prod(mark(X1), mark(X2)), mark(p(X)) -> a__p(mark(X)), mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)), mark(s(X)) -> s(mark(X)), mark(0()) -> 0(), mark(true()) -> true(), mark(false()) -> false(), a__fact(X) -> fact(X), a__if(X1, X2, X3) -> if(X1, X2, X3), a__zero(X) -> zero(X), a__prod(X1, X2) -> prod(X1, X2), a__p(X) -> p(X), a__add(X1, X2) -> add(X1, X2)} Fail