I bid farewell

"if H and A1, A2, A3, and...An then TI is implied
TI
therefore H is confirmed"No, this is not logically correct. One can have correlation without causation. All that can be said is that H is not rejected, not confirmed.In the example you gave of CPT and the oceanic lithosphere....If CPT, then uniform thickness of OLand we in fact find uniform thickness of OL - that does not confirm CPT, it merely means lacking other evidence, we can't reject CPT.OTOH, If CPT, then uniform thickness of OL
and we in fact find that the OL thickness varies....
CPT is rejected, assuming the original If/then statement was correct.

"that CPT is both conjectural and viable theory."This is an oxymoran. And I do believe you are nearly the only one left on this forum that thinks CPT is a "viable theroy."