the fact that the subjugator either does arrange or is a differential or both is incorrect.
sent1: if there is something such that either it does ice Polyangium or it is white-collar or both then the subjugator arranges. sent2: that the subjugator does bead kind hold. sent3: either the sealskin does ice Polyangium or it does arrange or both. sent4: the sealskin is white-collar. sent5: the sealskin does arrange and/or it is white-collar. sent6: if there exists something such that it does ice Polyangium the subjugator does arrange.
sent4 -> int1: the sealskin does ice Polyangium and/or it is white-collar.; int1 -> int2: there exists something such that it ices Polyangium or it is white-collar or both.; int2 & sent1 -> int3: the subjugator does arrange.; int3 -> hypothesis;
$hypothesis$ = the fact that the subjugator either does arrange or is a differential or both is incorrect. ; $context$ = sent1: if there is something such that either it does ice Polyangium or it is white-collar or both then the subjugator arranges. sent2: that the subjugator does bead kind hold. sent3: either the sealskin does ice Polyangium or it does arrange or both. sent4: the sealskin is white-collar. sent5: the sealskin does arrange and/or it is white-collar. sent6: if there exists something such that it does ice Polyangium the subjugator does arrange. ; $proof$ = 
sent4 -> int1: the sealskin does ice Polyangium and/or it is white-collar.; int1 -> int2: there exists something such that it ices Polyangium or it is white-collar or both.; int2 & sent1 -> int3: the subjugator does arrange.; int3 -> hypothesis; __DISPROVED__