the gallery is not a nitride.
sent1: there is something such that it twills idolatry. sent2: the gallery is not a kind of a nitride if it does not encapsulate engagement. sent3: the fact that the debacle is not a kind of a Shingon hold. sent4: the interviewee does encapsulate engagement and is not a Shingon. sent5: that the gallery is doubles a Shingon is not correct if something does twill idolatry. sent6: the gallery does not encapsulate engagement if the fact that it is doubles and a Shingon is false.
sent1 & sent5 -> int1: that the gallery is a doubles and it is a Shingon is wrong.; int1 & sent6 -> int2: the gallery does not encapsulate engagement.; int2 & sent2 -> hypothesis;
the gallery is a nitride.
sent4 -> int3: the interviewee is not a kind of a Shingon.; int3 -> int4: there exists something such that it is not a Shingon.;
$hypothesis$ = the gallery is not a nitride. ; $context$ = sent1: there is something such that it twills idolatry. sent2: the gallery is not a kind of a nitride if it does not encapsulate engagement. sent3: the fact that the debacle is not a kind of a Shingon hold. sent4: the interviewee does encapsulate engagement and is not a Shingon. sent5: that the gallery is doubles a Shingon is not correct if something does twill idolatry. sent6: the gallery does not encapsulate engagement if the fact that it is doubles and a Shingon is false. ; $proof$ = 
sent1 & sent5 -> int1: that the gallery is a doubles and it is a Shingon is wrong.; int1 & sent6 -> int2: the gallery does not encapsulate engagement.; int2 & sent2 -> hypothesis; __PROVED__