there exists something such that if it is non-onymous and/or it is not empyrean then it is not a LH.
sent1: there is something such that if the fact that it does not admeasure encounter and/or it understands hold it is not mediatory. sent2: if the redcap is not empyrean then the fact that it is not a kind of a LH is right. sent3: there exists something such that if it is not onymous or not empyrean or both then it is a LH. sent4: if something does not caucus camouflaged and/or is not neuroglial it is not allographic. sent5: there exists something such that if it is not empyrean that it is not a LH is not wrong. sent6: if the redcap is not onymous or it is not empyrean or both then it is not a LH. sent7: there is something such that if it is onymous or it is not empyrean or both it is not a LH. sent8: if either the redcap is onymous or it is non-empyrean or both then it is not a kind of a LH. sent9: the redcap is a LH if it is not onymous and/or it is non-empyrean. sent10: there exists something such that if it is not onymous it is not a LH.
sent6 -> hypothesis;
there exists something such that if it does not caucus camouflaged and/or is not neuroglial then it is not allographic.
sent4 -> int1: if the soup-strainer does not caucus camouflaged or is not neuroglial or both it is not allographic.; int1 -> hypothesis;
$hypothesis$ = there exists something such that if it is non-onymous and/or it is not empyrean then it is not a LH. ; $context$ = sent1: there is something such that if the fact that it does not admeasure encounter and/or it understands hold it is not mediatory. sent2: if the redcap is not empyrean then the fact that it is not a kind of a LH is right. sent3: there exists something such that if it is not onymous or not empyrean or both then it is a LH. sent4: if something does not caucus camouflaged and/or is not neuroglial it is not allographic. sent5: there exists something such that if it is not empyrean that it is not a LH is not wrong. sent6: if the redcap is not onymous or it is not empyrean or both then it is not a LH. sent7: there is something such that if it is onymous or it is not empyrean or both it is not a LH. sent8: if either the redcap is onymous or it is non-empyrean or both then it is not a kind of a LH. sent9: the redcap is a LH if it is not onymous and/or it is non-empyrean. sent10: there exists something such that if it is not onymous it is not a LH. ; $proof$ = 
sent6 -> hypothesis; __PROVED__