there is something such that if it is not a premium it is not a kind of a cold and/or it is pectic.
sent1: if something is not a kind of a premium that it is not a cold and/or it is pectic is not false. sent2: if the paregoric is not a kind of a premium then that it is either cold or pectic or both is true.
sent1 -> int1: if the fact that the paregoric is not a premium is not wrong then either it is not a cold or it is pectic or both.; int1 -> hypothesis;
$hypothesis$ = there is something such that if it is not a premium it is not a kind of a cold and/or it is pectic. ; $context$ = sent1: if something is not a kind of a premium that it is not a cold and/or it is pectic is not false. sent2: if the paregoric is not a kind of a premium then that it is either cold or pectic or both is true. ; $proof$ = 
sent1 -> int1: if the fact that the paregoric is not a premium is not wrong then either it is not a cold or it is pectic or both.; int1 -> hypothesis; __PROVED__