In the last paragraph as I parse,
outputfile->text->cursor.par->size returns the wrong value.  It returns 
a value of 20 rather than 16, in particular.  It returns the correct 
value for other size.  So the sequence

     cout <<"size "<<outputfile->text->cursor.par->size<<"\n";

     while ((outputfile->text->cursor.par
                 ->GetChar(outputfile->text->cursor.pos)!='<')
           && (outputfile->text->cursor.pos 
               < outputfile->text->cursor.par->size)){
           cout <<"pos"<<outputfile->text->cursor.pos
                <<" "<<outputfile->text->cursor.par
             ->GetChar(outputfile->text->cursor.pos)
                <<"\n";
           outputfile->text->cursor.pos++;
         }
 
yields 

size 20
pos0 f
pos1 o
pos2 u
pos3 r
pos4 t
pos5 h
pos6  
pos7 p
pos8 a
pos9 r
pos10 a
pos11 g
pos12 r
pos13 a
pos14 p
pos15 h
pos16 .
pos17 F
ERROR (LyXParagraph::GetChar): position does not exist.
ERROR (LyXParagraph::GetChar): position does not exist.
pos18 F
ERROR (LyXParagraph::GetChar): position does not exist.
ERROR (LyXParagraph::GetChar): position does not exist.
pos19 F
ERROR (LyXParagraph::GetChar): position does not exist.

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