there exists something such that if the fact that it is a candlelight is not true then it is a butte that is not catarrhal.
sent1: the Samoan is a butte that is catarrhal if it is not a candlelight. sent2: if the Samoan is not a candlelight it is a butte. sent3: if something is not a candlelight it is a butte but not catarrhal. sent4: something is a butte if it is not a candlelight. sent5: if something is not a wit it is a kind of semiterrestrial thing that does not behold nitrification. sent6: if something is a candlelight then it is a kind of a butte and it is not catarrhal. sent7: the nitrification is a kind of a Cleridae that is not catarrhal if it is not tonsorial. sent8: if that the Samoan is not a candlelight is not right it is a butte and it is not catarrhal. sent9: the prince's-feather is both catarrhal and non-divergent if it is not isomorphous. sent10: there is something such that if it is not a kind of a candlelight then it is a butte. sent11: there exists something such that if it is not a candlelight it is a kind of a butte and is catarrhal. sent12: if something is not a candlelight then it is a butte and it is catarrhal.
sent3 -> int1: the Samoan is a kind of a butte but it is not catarrhal if the fact that it is not a candlelight hold.; int1 -> hypothesis;
$hypothesis$ = there exists something such that if the fact that it is a candlelight is not true then it is a butte that is not catarrhal. ; $context$ = sent1: the Samoan is a butte that is catarrhal if it is not a candlelight. sent2: if the Samoan is not a candlelight it is a butte. sent3: if something is not a candlelight it is a butte but not catarrhal. sent4: something is a butte if it is not a candlelight. sent5: if something is not a wit it is a kind of semiterrestrial thing that does not behold nitrification. sent6: if something is a candlelight then it is a kind of a butte and it is not catarrhal. sent7: the nitrification is a kind of a Cleridae that is not catarrhal if it is not tonsorial. sent8: if that the Samoan is not a candlelight is not right it is a butte and it is not catarrhal. sent9: the prince's-feather is both catarrhal and non-divergent if it is not isomorphous. sent10: there is something such that if it is not a kind of a candlelight then it is a butte. sent11: there exists something such that if it is not a candlelight it is a kind of a butte and is catarrhal. sent12: if something is not a candlelight then it is a butte and it is catarrhal. ; $proof$ = 
sent3 -> int1: the Samoan is a kind of a butte but it is not catarrhal if the fact that it is not a candlelight hold.; int1 -> hypothesis; __PROVED__