MAYBE Trs: { inc(s(x)) -> s(inc(x)), inc(0()) -> s(0()), ifPlus(true(), x, y, z) -> y, ifPlus(false(), x, y, z) -> plus(x, z), times(x, y) -> timesIter(x, y, 0()), plus(x, y) -> ifPlus(eq(x, 0()), minus(x, s(0())), x, inc(x)), minus(s(x), s(y)) -> minus(x, y), minus(0(), x) -> 0(), minus(x, 0()) -> x, minus(x, x) -> 0(), eq(s(x), s(y)) -> eq(x, y), eq(s(x), 0()) -> false(), eq(0(), s(x)) -> false(), eq(0(), 0()) -> true(), eq(x, x) -> true(), ifTimes(true(), x, y, z, u) -> z, ifTimes(false(), x, y, z, u) -> timesIter(x, y, u), timesIter(x, y, z) -> ifTimes(eq(x, 0()), minus(x, s(0())), y, z, plus(y, z)), f() -> g(), f() -> h()} Comment: We consider a duplicating trs. FAIL: Open