there exists something such that if it is not prodromal it is a ALGOL and it is not a kind of a commensal.
sent1: a non-prodromal thing is a ALGOL that is not a commensal.
sent1 -> int1: if the synthesizer is not prodromal then it is a ALGOL and is not a kind of a commensal.; int1 -> hypothesis;
$hypothesis$ = there exists something such that if it is not prodromal it is a ALGOL and it is not a kind of a commensal. ; $context$ = sent1: a non-prodromal thing is a ALGOL that is not a commensal. ; $proof$ = 
sent1 -> int1: if the synthesizer is not prodromal then it is a ALGOL and is not a kind of a commensal.; int1 -> hypothesis; __PROVED__