Earlier quoted context omitted.
> There's a line in the standards that basically says a conforming program is anything acceptable by a conforming implementation. Perhaps it "basically" says that, but it certainly doesn't appear to literally say any such thing, so you're going to need to specify where you believe you saw this so that I can have any idea what it actually says.
C standard N3096, Section 4: A conforming program is one that is acceptable to a conforming implementation. That definition goes all the way back to C89. The C++ standard drops it for the term "well-formed program", but adds enough clarifications in 1.4 to mean essentially the same thing.
C++ has a recurring phrase in its standard document "Ill-formed No Diagnostic Required" or IFNDR which carries this intent. The compiler can't tell you made a mistake, but you didn't actually write a valid C++ program so -shrug-
Because there's no way to tell for sure without exhaustive human examination we don't know for sure how many C++ programs aren't actually well-formed but experts who've thought about it tend to think the answer for large C++ software projects is all or most of them.