the rya is not a record.
sent1: the rya is not a record if the nogging does thud and/or catapults. sent2: there is something such that it is gluteal. sent3: the nogging thuds if there is something such that it is gluteal. sent4: something is a record if that it does not record and thuds is incorrect. sent5: if the fact that something thuds and does catapult does not hold it does not thuds.
sent2 & sent3 -> int1: the nogging does thud.; int1 -> int2: the nogging thuds and/or it is a catapult.; sent1 & int2 -> hypothesis;
the rya is a record.
sent4 -> int3: the rya is a record if the fact that it does not record and does thud is not correct.;
$hypothesis$ = the rya is not a record. ; $context$ = sent1: the rya is not a record if the nogging does thud and/or catapults. sent2: there is something such that it is gluteal. sent3: the nogging thuds if there is something such that it is gluteal. sent4: something is a record if that it does not record and thuds is incorrect. sent5: if the fact that something thuds and does catapult does not hold it does not thuds. ; $proof$ = 
sent2 & sent3 -> int1: the nogging does thud.; int1 -> int2: the nogging thuds and/or it is a catapult.; sent1 & int2 -> hypothesis; __PROVED__