both the articling floor and the bend occurs.
sent1: if the notation does not occur and the lifework does not occur the articling floor occurs. sent2: if the bill occurs the notation does not occur and the lifework does not occur. sent3: both the bending and the marsupialness happens. sent4: the bill occurs.
sent2 & sent4 -> int1: the notation does not occur and the lifework does not occur.; int1 & sent1 -> int2: the articling floor happens.; sent3 -> int3: the bending occurs.; int2 & int3 -> hypothesis;
$hypothesis$ = both the articling floor and the bend occurs. ; $context$ = sent1: if the notation does not occur and the lifework does not occur the articling floor occurs. sent2: if the bill occurs the notation does not occur and the lifework does not occur. sent3: both the bending and the marsupialness happens. sent4: the bill occurs. ; $proof$ = 
sent2 & sent4 -> int1: the notation does not occur and the lifework does not occur.; int1 & sent1 -> int2: the articling floor happens.; sent3 -> int3: the bending occurs.; int2 & int3 -> hypothesis; __PROVED__