to convince us of that all on their own 
(ROOT (S (VP (TO to) (VP (VB convince) (NP (PRP us)) (PP (IN of) (NP (DT that))) (PP (ADVP (DT all)) (IN on) (NP (PRP$ their) (JJ own)))))))
(ROOT (S (VP (TO ) (VP (VB ) (NP (PRP )) (PP (IN ) (NP (DT ))) (PP (ADVP (DT )) (IN ) (NP (PRP$ ) (JJ )))))))