What is the ruling on one who says: "As long as I have said, 'There is no god but Allah, He alone, without partner,' then my wife is under my responsibility," when he had no intention whatsoever?

It appears that the questioner is suffering from obsessive thoughts (waswas) regarding divorce. Therefore, he must completely disregard and ignore these obsessive thoughts and occupy himself with what benefits him in his religious and worldly affairs. The phrase mentioned is not a pronouncement of divorce; rather, its apparent meaning is the opposite of divorce. Nothing results from it, especially since the questioner did not intend divorce by it, and intention is a fundamental pillar in divorce.