MAYBE MAYBE TRS: { h(e(x), y) -> h(d(x, y), s(y)), d(g(x, y), z) -> g(d(x, z), e(y)), d(g(g(0(), x), y), s(z)) -> g(e(x), d(g(g(0(), x), y), z)), d(g(g(0(), x), y), 0()) -> e(y), d(g(0(), x), y) -> e(x), g(e(x), e(y)) -> e(g(x, y)) } DUP: We consider a duplicating system. Trs: { h(e(x), y) -> h(d(x, y), s(y)), d(g(x, y), z) -> g(d(x, z), e(y)), d(g(g(0(), x), y), s(z)) -> g(e(x), d(g(g(0(), x), y), z)), d(g(g(0(), x), y), 0()) -> e(y), d(g(0(), x), y) -> e(x), g(e(x), e(y)) -> e(g(x, y)) } Fail