the bead is not a rhododendron.
sent1: something is not a grate if it is a crystal. sent2: that the bead is not a rhododendron is right if there is something such that it is both not a Putin and a thousand. sent3: the feminist is not a kind of a Putin but it is a thousand.
sent3 -> int1: there exists something such that it is both not a Putin and a thousand.; int1 & sent2 -> hypothesis;
the lagomorph is not a kind of a rhododendron.
sent1 -> int2: if the nautilus is a crystal it is not a grate.;
$hypothesis$ = the bead is not a rhododendron. ; $context$ = sent1: something is not a grate if it is a crystal. sent2: that the bead is not a rhododendron is right if there is something such that it is both not a Putin and a thousand. sent3: the feminist is not a kind of a Putin but it is a thousand. ; $proof$ = 
sent3 -> int1: there exists something such that it is both not a Putin and a thousand.; int1 & sent2 -> hypothesis; __PROVED__