that the polity does not occur yields that the infrequentness does not occur and/or the inexhaustibleness occurs.
sent1: if the dilating earphone does not occur then the longitudinalness does not occur and the worsting does not occur. sent2: that the longitudinalness does not occur and the worst does not occur yields the polity. sent3: either the form does not occur or the preempting happens or both if that the rationing occurs hold. sent4: the inexhaustibleness happens if the dilating earphone happens.
void -> assump2: Let's assume that the dilating earphone does not occur.; sent1 & assump2 -> int1: the non-longitudinalness and the non-worstness occurs.; sent2 & int1 -> int2: the polity occurs.; void -> assump1: Let's assume that the polity does not occur.; int2 & assump1 -> int3: this is contradiction.; [assump2] & int3 -> int4: the dilating earphone happens.; sent4 & int4 -> int5: the inexhaustibleness occurs.; int5 -> int6: the non-infrequentness or the inexhaustibleness or both happens.; [assump1] & int6 -> hypothesis;
$hypothesis$ = that the polity does not occur yields that the infrequentness does not occur and/or the inexhaustibleness occurs. ; $context$ = sent1: if the dilating earphone does not occur then the longitudinalness does not occur and the worsting does not occur. sent2: that the longitudinalness does not occur and the worst does not occur yields the polity. sent3: either the form does not occur or the preempting happens or both if that the rationing occurs hold. sent4: the inexhaustibleness happens if the dilating earphone happens. ; $proof$ = 
void -> assump2: Let's assume that the dilating earphone does not occur.; sent1 & assump2 -> int1: the non-longitudinalness and the non-worstness occurs.; sent2 & int1 -> int2: the polity occurs.; void -> assump1: Let's assume that the polity does not occur.; int2 & assump1 -> int3: this is contradiction.; [assump2] & int3 -> int4: the dilating earphone happens.; sent4 & int4 -> int5: the inexhaustibleness occurs.; int5 -> int6: the non-infrequentness or the inexhaustibleness or both happens.; [assump1] & int6 -> hypothesis; __PROVED__