MAYBE Trs: { mod(x, s(y)) -> modIter(x, s(y), 0(), 0()), mod(x, 0()) -> modZeroErro(), if(false(), x, y, z, u) -> if2(le(y, s(u)), x, y, s(z), s(u)), if(true(), x, y, z, u) -> u, le(s(x), s(y)) -> le(x, y), le(s(x), 0()) -> false(), le(0(), y) -> true(), if2(false(), x, y, z, u) -> modIter(x, y, z, u), if2(true(), x, y, z, u) -> modIter(x, y, z, 0()), modIter(x, s(y), z, u) -> if(le(x, z), x, s(y), z, u)} Comment: We consider a duplicating trs. FAIL: Open