that there exists something such that if it is not a lovage and/or it does gather then it is not a kind of a Pachycephala is wrong.
sent1: something is not a kind of a Pachycephala if it is not a lovage. sent2: if something is not a kind of a lovage and/or it is a gather it is a kind of a Pachycephala. sent3: something that is either not a lovage or a gather or both is not a Pachycephala. sent4: there exists something such that if it is not a lovage and/or it is a gather it is a Pachycephala. sent5: there is something such that if it is not a lovage then it is not a kind of a Pachycephala.
sent3 -> int1: the halo is not a Pachycephala if it is not a kind of a lovage or it is a gather or both.; int1 -> hypothesis;
$hypothesis$ = that there exists something such that if it is not a lovage and/or it does gather then it is not a kind of a Pachycephala is wrong. ; $context$ = sent1: something is not a kind of a Pachycephala if it is not a lovage. sent2: if something is not a kind of a lovage and/or it is a gather it is a kind of a Pachycephala. sent3: something that is either not a lovage or a gather or both is not a Pachycephala. sent4: there exists something such that if it is not a lovage and/or it is a gather it is a Pachycephala. sent5: there is something such that if it is not a lovage then it is not a kind of a Pachycephala. ; $proof$ = 
sent3 -> int1: the halo is not a Pachycephala if it is not a kind of a lovage or it is a gather or both.; int1 -> hypothesis; __DISPROVED__