there exists something such that if it is not intractable then the fact that it is a ballcock and is not unregenerate is not correct.
sent1: if something does not list chiropodist that it is intractable and it is not a calciferol is not right. sent2: that the chiropodist is a ballcock but it is not unregenerate does not hold if it is not intractable.
sent2 -> hypothesis;
if the Pitot does not list chiropodist then that it is intractable and is not a calciferol is not right.
sent1 -> hypothesis;
$hypothesis$ = there exists something such that if it is not intractable then the fact that it is a ballcock and is not unregenerate is not correct. ; $context$ = sent1: if something does not list chiropodist that it is intractable and it is not a calciferol is not right. sent2: that the chiropodist is a ballcock but it is not unregenerate does not hold if it is not intractable. ; $proof$ = 
sent2 -> hypothesis; __PROVED__