that both the non-alpineness and the conflagration occurs is incorrect.
sent1: the banding andromeda is prevented by that both the non-alpineness and the conflagration occurs. sent2: both the non-alpineness and the conflagration occurs if the glaring does not occur. sent3: the glare occurs and the banding andromeda happens.
void -> assump1: Let's assume that the non-alpineness and the conflagration happens.; sent1 & assump1 -> int1: the banding andromeda does not occur.; sent3 -> int2: the banding andromeda occurs.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis;
both the non-alpineness and the conflagration happens.
$hypothesis$ = that both the non-alpineness and the conflagration occurs is incorrect. ; $context$ = sent1: the banding andromeda is prevented by that both the non-alpineness and the conflagration occurs. sent2: both the non-alpineness and the conflagration occurs if the glaring does not occur. sent3: the glare occurs and the banding andromeda happens. ; $proof$ = 
void -> assump1: Let's assume that the non-alpineness and the conflagration happens.; sent1 & assump1 -> int1: the banding andromeda does not occur.; sent3 -> int2: the banding andromeda occurs.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis; __PROVED__