MAYBE MAYBE TRS: { D(t()) -> s(h()), D(constant()) -> h(), D(b(x, y)) -> b(D(x), D(y)), D(c(x, y)) -> b(c(y, D(x)), c(x, D(y))), D(m(x, y)) -> m(D(x), D(y)), D(opp(x)) -> opp(D(x)), D(div(x, y)) -> m(div(D(x), y), div(c(x, D(y)), pow(y, 2()))), D(pow(x, y)) -> b(c(c(y, pow(x, m(y, 1()))), D(x)), c(c(pow(x, y), ln(x)), D(y))), D(ln(x)) -> div(D(x), x), b(x, h()) -> x, b(s(x), s(y)) -> s(s(b(x, y))), b(h(), x) -> x, b(b(x, y), z) -> b(x, b(y, z)) } DUP: We consider a duplicating system. Trs: { D(t()) -> s(h()), D(constant()) -> h(), D(b(x, y)) -> b(D(x), D(y)), D(c(x, y)) -> b(c(y, D(x)), c(x, D(y))), D(m(x, y)) -> m(D(x), D(y)), D(opp(x)) -> opp(D(x)), D(div(x, y)) -> m(div(D(x), y), div(c(x, D(y)), pow(y, 2()))), D(pow(x, y)) -> b(c(c(y, pow(x, m(y, 1()))), D(x)), c(c(pow(x, y), ln(x)), D(y))), D(ln(x)) -> div(D(x), x), b(x, h()) -> x, b(s(x), s(y)) -> s(s(b(x, y))), b(h(), x) -> x, b(b(x, y), z) -> b(x, b(y, z)) } Fail