the fact that the vulgarizer is not a canoeist or it is a dishpan or both is false.
sent1: if something is a kind of a dishpan the fact that the fact that the vulgarizer is not a kind of a canoeist and/or it is a deliveryman is not true is correct. sent2: the vulgarizer is a canoeist. sent3: if something is a dishpan the vulgarizer is a kind of a canoeist. sent4: the dig is a kind of a deliveryman. sent5: if something is a kind of a deliveryman the fact that the vulgarizer is not a canoeist and/or it is a dishpan does not hold.
sent4 -> int1: something is a deliveryman.; int1 & sent5 -> hypothesis;
$hypothesis$ = the fact that the vulgarizer is not a canoeist or it is a dishpan or both is false. ; $context$ = sent1: if something is a kind of a dishpan the fact that the fact that the vulgarizer is not a kind of a canoeist and/or it is a deliveryman is not true is correct. sent2: the vulgarizer is a canoeist. sent3: if something is a dishpan the vulgarizer is a kind of a canoeist. sent4: the dig is a kind of a deliveryman. sent5: if something is a kind of a deliveryman the fact that the vulgarizer is not a canoeist and/or it is a dishpan does not hold. ; $proof$ = 
sent4 -> int1: something is a deliveryman.; int1 & sent5 -> hypothesis; __PROVED__