there exists something such that if it is non-astronautic the fact that it lapidifies and/or is Masonic is not correct.
sent1: the fact that something lapidifies and/or it is Masonic is not right if the fact that it is astronautic is correct. sent2: there exists something such that if it is astronautic then that it does lapidify and/or it is Masonic is false. sent3: the fact that the watchdog lapidifies and/or is Masonic is not correct if it is not non-astronautic. sent4: the fact that something does lapidify and/or it is not non-Masonic is not true if it is not astronautic.
sent4 -> int1: that the watchdog lapidifies and/or it is Masonic is not correct if it is not astronautic.; int1 -> hypothesis;
$hypothesis$ = there exists something such that if it is non-astronautic the fact that it lapidifies and/or is Masonic is not correct. ; $context$ = sent1: the fact that something lapidifies and/or it is Masonic is not right if the fact that it is astronautic is correct. sent2: there exists something such that if it is astronautic then that it does lapidify and/or it is Masonic is false. sent3: the fact that the watchdog lapidifies and/or is Masonic is not correct if it is not non-astronautic. sent4: the fact that something does lapidify and/or it is not non-Masonic is not true if it is not astronautic. ; $proof$ = 
sent4 -> int1: that the watchdog lapidifies and/or it is Masonic is not correct if it is not astronautic.; int1 -> hypothesis; __PROVED__