“I don’t own a TV set. I would watch it.”

The following excerpt is from Hobbs, Jerry R. “Toward a useful concept of causality for lexical semantics.” Journal of Semantics 22.2 (2005): 181-209.

The paper goes on for a few pages about how to represent the semantics of this utterance with logical rigor.

This is a challenging problem for natural language processing systems and downstream reasoning applications, such as the Linguist addresses.

So, just for fun, I put this into the Linguist, which is typically directed towards parsing one sentence at a time, but no matter…

Here is the result.  Note that the implicit conjunction of the two sentences is essentially disjunctive: