there exists something such that if it is not a compact that it is arteriosclerotic and/or it is unhappy is not true.
sent1: that something either is arteriosclerotic or is unhappy or both is wrong if it is not compact. sent2: the fact that the balsam mooches stooper and/or it does outnumber sniff is correct if that it is not arteriosclerotic is not incorrect. sent3: something is not unhappy if it is not a compact. sent4: the fact that either something does bench or it is a gaff or both is wrong if it is a tramontane.
sent1 -> int1: that the stillroom is arteriosclerotic and/or it is unhappy does not hold if it is not compact.; int1 -> hypothesis;
$hypothesis$ = there exists something such that if it is not a compact that it is arteriosclerotic and/or it is unhappy is not true. ; $context$ = sent1: that something either is arteriosclerotic or is unhappy or both is wrong if it is not compact. sent2: the fact that the balsam mooches stooper and/or it does outnumber sniff is correct if that it is not arteriosclerotic is not incorrect. sent3: something is not unhappy if it is not a compact. sent4: the fact that either something does bench or it is a gaff or both is wrong if it is a tramontane. ; $proof$ = 
sent1 -> int1: that the stillroom is arteriosclerotic and/or it is unhappy does not hold if it is not compact.; int1 -> hypothesis; __PROVED__