the activator does front eudemon.
sent1: there exists something such that it is a Pachycephala. sent2: if the Raffia does not mine and it does not front eudemon the activator does not front eudemon. sent3: if something is a mined and it is a kind of a Pachycephala the activator does front kirk. sent4: something is a mined and a Pachycephala. sent5: there is something such that it is a kind of a mined. sent6: if something does front kirk then it fronts eudemon.
sent4 & sent3 -> int1: the activator fronts kirk.; sent6 -> int2: the activator does front eudemon if it does front kirk.; int1 & int2 -> hypothesis;
the activator does not front eudemon.
$hypothesis$ = the activator does front eudemon. ; $context$ = sent1: there exists something such that it is a Pachycephala. sent2: if the Raffia does not mine and it does not front eudemon the activator does not front eudemon. sent3: if something is a mined and it is a kind of a Pachycephala the activator does front kirk. sent4: something is a mined and a Pachycephala. sent5: there is something such that it is a kind of a mined. sent6: if something does front kirk then it fronts eudemon. ; $proof$ = 
sent4 & sent3 -> int1: the activator fronts kirk.; sent6 -> int2: the activator does front eudemon if it does front kirk.; int1 & int2 -> hypothesis; __PROVED__