if the mucopurulentness does not occur the throbbing does not occur.
sent1: that the comprehensibleness happens but the spartanness does not occur is incorrect if the throbbing occurs. sent2: if the fact that the comprehensibleness happens but the spartanness does not occur is not correct then the mucopurulentness occurs.
void -> assump2: Let's assume that the throbbing occurs.; sent1 & assump2 -> int1: the fact that the comprehensibleness occurs and the spartanness does not occur is wrong.; sent2 & int1 -> int2: the mucopurulentness happens.; void -> assump1: Let's assume that the mucopurulentness does not occur.; int2 & assump1 -> int3: this is contradiction.; [assump2] & int3 -> int4: the fact that the throbbing does not occur is not false.; [assump1] & int4 -> hypothesis;
$hypothesis$ = if the mucopurulentness does not occur the throbbing does not occur. ; $context$ = sent1: that the comprehensibleness happens but the spartanness does not occur is incorrect if the throbbing occurs. sent2: if the fact that the comprehensibleness happens but the spartanness does not occur is not correct then the mucopurulentness occurs. ; $proof$ = 
void -> assump2: Let's assume that the throbbing occurs.; sent1 & assump2 -> int1: the fact that the comprehensibleness occurs and the spartanness does not occur is wrong.; sent2 & int1 -> int2: the mucopurulentness happens.; void -> assump1: Let's assume that the mucopurulentness does not occur.; int2 & assump1 -> int3: this is contradiction.; [assump2] & int3 -> int4: the fact that the throbbing does not occur is not false.; [assump1] & int4 -> hypothesis; __PROVED__