the yardman is a hereness and it is autocatalytic.
sent1: the yardman is Kafkaesque. sent2: the yardman is Kafkaesque and it is a kind of a hereness. sent3: the yardman is a badge. sent4: the yardman is autocatalytic if it is a badge.
sent2 -> int1: the yardman is a hereness.; sent4 & sent3 -> int2: the yardman is not non-autocatalytic.; int1 & int2 -> hypothesis;
$hypothesis$ = the yardman is a hereness and it is autocatalytic. ; $context$ = sent1: the yardman is Kafkaesque. sent2: the yardman is Kafkaesque and it is a kind of a hereness. sent3: the yardman is a badge. sent4: the yardman is autocatalytic if it is a badge. ; $proof$ = 
sent2 -> int1: the yardman is a hereness.; sent4 & sent3 -> int2: the yardman is not non-autocatalytic.; int1 & int2 -> hypothesis; __PROVED__