there is something such that if it is not weightless then it is not a backband and/or it is impalpable.
sent1: if the dormitory is not weightless then it is a backband and/or it is impalpable. sent2: there is something such that if it is not weightless it is a backband or it is impalpable or both. sent3: something is not a butterfly and/or is not non-Semite if it does not bargain forequarter. sent4: if the dormitory is weightless then it either is not a backband or is impalpable or both. sent5: if the dormitory is not weightless it is not a backband and/or it is impalpable.
sent5 -> hypothesis;
there exists something such that if it does not bargain forequarter then it is not a kind of a butterfly and/or is Semite.
sent3 -> int1: if the transept does not bargain forequarter then it is not a kind of a butterfly and/or it is a Semite.; int1 -> hypothesis;
$hypothesis$ = there is something such that if it is not weightless then it is not a backband and/or it is impalpable. ; $context$ = sent1: if the dormitory is not weightless then it is a backband and/or it is impalpable. sent2: there is something such that if it is not weightless it is a backband or it is impalpable or both. sent3: something is not a butterfly and/or is not non-Semite if it does not bargain forequarter. sent4: if the dormitory is weightless then it either is not a backband or is impalpable or both. sent5: if the dormitory is not weightless it is not a backband and/or it is impalpable. ; $proof$ = 
sent5 -> hypothesis; __PROVED__