there is something such that if it is not a rule and it is not an inverse it does not ventilate mastodon.
sent1: something that is not a rule and not inverse does not ventilate mastodon. sent2: the mastodon does not ventilate mastodon if it is a rule and it is not an inverse. sent3: if the mastodon is not a rule and it is not a kind of an inverse it does ventilate mastodon. sent4: there exists something such that if it is not a rule and it is not an inverse it ventilates mastodon. sent5: if something does not rule and is not a kind of an inverse then it does not ventilate mastodon.
sent5 -> int1: if the mastodon is not a kind of a rule and is not a kind of an inverse then it does not ventilate mastodon.; int1 -> hypothesis;
$hypothesis$ = there is something such that if it is not a rule and it is not an inverse it does not ventilate mastodon. ; $context$ = sent1: something that is not a rule and not inverse does not ventilate mastodon. sent2: the mastodon does not ventilate mastodon if it is a rule and it is not an inverse. sent3: if the mastodon is not a rule and it is not a kind of an inverse it does ventilate mastodon. sent4: there exists something such that if it is not a rule and it is not an inverse it ventilates mastodon. sent5: if something does not rule and is not a kind of an inverse then it does not ventilate mastodon. ; $proof$ = 
sent5 -> int1: if the mastodon is not a kind of a rule and is not a kind of an inverse then it does not ventilate mastodon.; int1 -> hypothesis; __PROVED__