that either the liked does not occur or the German does not occur or both is right if the southness occurs.
sent1: the liking does not occur and/or the German does not occur if the incandescence does not occur. sent2: that the rescheduling ameloblast does not occur yields that the hornpipe or that the hatefulness does not occur or both is not wrong. sent3: that the incandescence does not occur and the grounder does not occur is brought about by that the Germanness does not occur. sent4: the non-outdoorness and/or the non-baricness occurs if the snuffing does not occur. sent5: if the transitive occurs then that both the exclusive and the non-biggerness occurs is not true. sent6: the fact that the German happens and the lactation happens does not hold if the liked does not occur. sent7: if the fact that the grounder does not occur is true then the fact that both the non-untidiness and the south occurs is incorrect. sent8: if the fact that not the untidiness but the southness happens is not true then the untidiness occurs. sent9: the grounder happens. sent10: if the fact that the fact that the exclusive and the non-biggerness happens is not true is not false then the liking does not occur. sent11: if the grounder occurs and the south happens then the incandescence does not occur. sent12: the German does not occur if the fact that both the German and the lactation occurs is wrong. sent13: if the fact that the incandescence does not occur hold then the liked happens and/or the German does not occur.
void -> assump1: Let's assume that the south occurs.; sent9 & assump1 -> int1: the grounder and the south occurs.; int1 & sent11 -> int2: the incandescence does not occur.; int2 & sent1 -> int3: either the liked does not occur or the German does not occur or both.; [assump1] & int3 -> hypothesis;
the untidiness happens.
$hypothesis$ = that either the liked does not occur or the German does not occur or both is right if the southness occurs. ; $context$ = sent1: the liking does not occur and/or the German does not occur if the incandescence does not occur. sent2: that the rescheduling ameloblast does not occur yields that the hornpipe or that the hatefulness does not occur or both is not wrong. sent3: that the incandescence does not occur and the grounder does not occur is brought about by that the Germanness does not occur. sent4: the non-outdoorness and/or the non-baricness occurs if the snuffing does not occur. sent5: if the transitive occurs then that both the exclusive and the non-biggerness occurs is not true. sent6: the fact that the German happens and the lactation happens does not hold if the liked does not occur. sent7: if the fact that the grounder does not occur is true then the fact that both the non-untidiness and the south occurs is incorrect. sent8: if the fact that not the untidiness but the southness happens is not true then the untidiness occurs. sent9: the grounder happens. sent10: if the fact that the fact that the exclusive and the non-biggerness happens is not true is not false then the liking does not occur. sent11: if the grounder occurs and the south happens then the incandescence does not occur. sent12: the German does not occur if the fact that both the German and the lactation occurs is wrong. sent13: if the fact that the incandescence does not occur hold then the liked happens and/or the German does not occur. ; $proof$ = 
void -> assump1: Let's assume that the south occurs.; sent9 & assump1 -> int1: the grounder and the south occurs.; int1 & sent11 -> int2: the incandescence does not occur.; int2 & sent1 -> int3: either the liked does not occur or the German does not occur or both.; [assump1] & int3 -> hypothesis; __PROVED__