the expurgator does metabolize nuncio.
sent1: the expurgator does metabolize nuncio if either it metabolizes Excellency or it is not barographic or both. sent2: everything is not excretory. sent3: everything is a Hereford. sent4: the expurgator metabolizes Excellency and/or it is not barographic if it is not indirect. sent5: that the nuncio is not a kind of a Hereford if the expurgator is a kind of non-excretory thing that is indirect is not wrong. sent6: that the expurgator metabolizes nuncio if the expurgator metabolizes Excellency hold. sent7: the nuncio is not excretory. sent8: if something is indirect the fact that it is not excretory and does metabolize nuncio does not hold.
sent2 -> int1: the expurgator is not excretory.; void -> assump1: Let's assume that the expurgator is indirect.; int1 & assump1 -> int2: the expurgator is not excretory and is indirect.; int2 & sent5 -> int3: the nuncio is not a Hereford.; sent3 -> int4: the nuncio is a Hereford.; int3 & int4 -> int5: this is contradiction.; [assump1] & int5 -> int6: the expurgator is not indirect.; int6 & sent4 -> int7: the expurgator does metabolize Excellency and/or is not barographic.; int7 & sent1 -> hypothesis;
the expurgator does not metabolize nuncio.
sent8 -> int8: if the nuncio is not lineal then the fact that it is a kind of non-excretory thing that does metabolize nuncio is wrong.;
$hypothesis$ = the expurgator does metabolize nuncio. ; $context$ = sent1: the expurgator does metabolize nuncio if either it metabolizes Excellency or it is not barographic or both. sent2: everything is not excretory. sent3: everything is a Hereford. sent4: the expurgator metabolizes Excellency and/or it is not barographic if it is not indirect. sent5: that the nuncio is not a kind of a Hereford if the expurgator is a kind of non-excretory thing that is indirect is not wrong. sent6: that the expurgator metabolizes nuncio if the expurgator metabolizes Excellency hold. sent7: the nuncio is not excretory. sent8: if something is indirect the fact that it is not excretory and does metabolize nuncio does not hold. ; $proof$ = 
sent2 -> int1: the expurgator is not excretory.; void -> assump1: Let's assume that the expurgator is indirect.; int1 & assump1 -> int2: the expurgator is not excretory and is indirect.; int2 & sent5 -> int3: the nuncio is not a Hereford.; sent3 -> int4: the nuncio is a Hereford.; int3 & int4 -> int5: this is contradiction.; [assump1] & int5 -> int6: the expurgator is not indirect.; int6 & sent4 -> int7: the expurgator does metabolize Excellency and/or is not barographic.; int7 & sent1 -> hypothesis; __PROVED__