You got to check your logic. The Vatican Council does neither define that the Pope is infallible "if and only if" (but rather that the Pope is infallible "if"), nor does the Vatican Council define in which way a Pope has to confirm a general Council to be an infallible Council, nor does the Vatican Council define that nothing but a Pope or nothing but a Pope or a Council may be teaching infallibly.
A true council, guided by the Holy Ghost, such as Vatican 1, is not there to deceive, nor to be a legal quagmire of complexity. We must take an infallible council as the word of God: "If the pope fulfills x, y, and z, then he is infallible".
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It is not left to the laity or clerics to "second guess" or to "re-interpret" what the Holy Ghost "left out" or "forgot to say".
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Any opinion or interpretation you have related to the above is of hubris alone. It's the height of arrogance that you can criticize a doctrine in the way you do. It is truly schismatic.