All right. Although, I haven't seen it in these words that any or all treaties can be "unilaterally withdrawn by the president" which is more blunt and to the point.
Moving on, the media is now blabbering about Trump being partially in with qualifications. If it's something like we get same deal as China and India being exempt until 2030 ...I'll have to mull that one over. I guess we will find out within 1 hour.
Once a treaty has been ratified by the Senate, a president can still withdraw unilaterally I believe, although the US Constitution says nothing on the matter of withdrawing from treaties. There was a lawsuit brought by Senator Goldwater in 1979 over President Carter withdrawing from the mutual defense treaty with Taiwan. The Supreme Court declined to decide the case, saying it was a political matter between the POTUS and Congress.... which left Carter’s action standing. There was a lawsuit filed after President Bush withdrew from the ABM treaty with Russia (which really had been a treaty with the USSR), but I can’t seem to find out online whether that was ever resolved. I imagine if the SCOTUS had actually heard and decided the case it would be easy to find on the web, so it may be that they left Bush’s action to stand in that case, too.