that the fungalness happens and the unlivableness occurs is false.
sent1: if that the radicalness does not occur hold then the vagalness happens. sent2: if the prostheticness does not occur then that the vagalness happens is not incorrect. sent3: if the vagalness happens then the unlivableness occurs. sent4: that the obliterating does not occur leads to that the fungalness and the grammaticalness happens. sent5: the obliterating does not occur. sent6: the non-radicalness or the non-prostheticness or both occurs.
sent6 & sent1 & sent2 -> int1: the vagalness happens.; int1 & sent3 -> int2: the unlivableness happens.; sent4 & sent5 -> int3: the fungalness and the grammaticalness happens.; int3 -> int4: the fungalness happens.; int2 & int4 -> hypothesis;
$hypothesis$ = that the fungalness happens and the unlivableness occurs is false. ; $context$ = sent1: if that the radicalness does not occur hold then the vagalness happens. sent2: if the prostheticness does not occur then that the vagalness happens is not incorrect. sent3: if the vagalness happens then the unlivableness occurs. sent4: that the obliterating does not occur leads to that the fungalness and the grammaticalness happens. sent5: the obliterating does not occur. sent6: the non-radicalness or the non-prostheticness or both occurs. ; $proof$ = 
sent6 & sent1 & sent2 -> int1: the vagalness happens.; int1 & sent3 -> int2: the unlivableness happens.; sent4 & sent5 -> int3: the fungalness and the grammaticalness happens.; int3 -> int4: the fungalness happens.; int2 & int4 -> hypothesis; __DISPROVED__