something is a keen and it is dormant.
sent1: the fact that the cookout is dormant is true. sent2: the cookout is not a condyle. sent3: the cookout is a kind of a keen that is not a condyle.
sent3 -> int1: the cookout is a keen.; int1 & sent1 -> int2: the cookout is a keen and it is dormant.; int2 -> hypothesis;
$hypothesis$ = something is a keen and it is dormant. ; $context$ = sent1: the fact that the cookout is dormant is true. sent2: the cookout is not a condyle. sent3: the cookout is a kind of a keen that is not a condyle. ; $proof$ = 
sent3 -> int1: the cookout is a keen.; int1 & sent1 -> int2: the cookout is a keen and it is dormant.; int2 -> hypothesis; __PROVED__