Probably the topic of "How small is really small?" has been already discussed but I'm still a bit confused.

On an OLS estimation, where Stata considers that std errors  are actually 0 and provides no related output, gretl instead reports quite small values, kind of e-10, resulting in very "optimistic" p-values. 

Obviously, gretl's missing F statistic and a R2=1 should provoke doubt and question the validity of the model...yet those *** for the p-values seem confusing :). 
In such circumstances, is there a way to make gretl 
"judge" that std.errors are actually 0 and discard t tests?