the lunching is prefectural.
sent1: if the fact that the landlady is near is not wrong then the cassareep is a case. sent2: the hemisphere is prefectural if the lunching is not a Himantopus. sent3: if the lunching is not a case then the landlady is prefectural. sent4: if something is not a case then it is not prefectural. sent5: if the landlady is prefectural then the lunching is a kind of a case. sent6: the cassareep is near or it speaks larkspur or both. sent7: if the cassareep is a case then the landlady is near. sent8: the cassareep is not near and/or it does speak larkspur. sent9: the hemisphere is a Himantopus if the cassareep is not near or it does speak larkspur or both. sent10: the cassareep is prefectural. sent11: if the cassareep is prefectural the fact that the lunching is near is not incorrect. sent12: the hemisphere is near. sent13: the cassareep either is not a kind of a Himantopus or speaks larkspur or both. sent14: the landlady is a case if the hemisphere is a kind of a Himantopus. sent15: that the landlady speaks larkspur is right if the cassareep does case. sent16: the lunching is prefectural if the landlady does case. sent17: if the lunching is not near then the cassareep is prefectural. sent18: if the lunching is non-near or prefectural or both the hemisphere is a Himantopus.
sent9 & sent8 -> int1: the hemisphere is a Himantopus.; int1 & sent14 -> int2: the landlady is a case.; int2 & sent16 -> hypothesis;
the lunching is not prefectural.
sent4 -> int3: the lunching is not prefectural if it is not a case.;
$hypothesis$ = the lunching is prefectural. ; $context$ = sent1: if the fact that the landlady is near is not wrong then the cassareep is a case. sent2: the hemisphere is prefectural if the lunching is not a Himantopus. sent3: if the lunching is not a case then the landlady is prefectural. sent4: if something is not a case then it is not prefectural. sent5: if the landlady is prefectural then the lunching is a kind of a case. sent6: the cassareep is near or it speaks larkspur or both. sent7: if the cassareep is a case then the landlady is near. sent8: the cassareep is not near and/or it does speak larkspur. sent9: the hemisphere is a Himantopus if the cassareep is not near or it does speak larkspur or both. sent10: the cassareep is prefectural. sent11: if the cassareep is prefectural the fact that the lunching is near is not incorrect. sent12: the hemisphere is near. sent13: the cassareep either is not a kind of a Himantopus or speaks larkspur or both. sent14: the landlady is a case if the hemisphere is a kind of a Himantopus. sent15: that the landlady speaks larkspur is right if the cassareep does case. sent16: the lunching is prefectural if the landlady does case. sent17: if the lunching is not near then the cassareep is prefectural. sent18: if the lunching is non-near or prefectural or both the hemisphere is a Himantopus. ; $proof$ = 
sent9 & sent8 -> int1: the hemisphere is a Himantopus.; int1 & sent14 -> int2: the landlady is a case.; int2 & sent16 -> hypothesis; __PROVED__