Probably the topic of "How small is really small?" has been already discussed but I'm still a bit confused.
Now, for the following estimation, Stata considers that std errors  are 0 and provides no output. Instead, gretl reports quite small values resulting in very "optimistic" p-values. 
Obviously, the missing F statistic and a R2=1 should provoke doubt and question the validity of the model...though those *** seem confusing :). 
In such circumstances, is there a way to make gretl "judge" that std.errors are actually 0 and omit t tests?