that either the overrefining lotto occurs or the diploidness happens or both is not incorrect.
sent1: that the Hegira happens hold if that the aromatherapy does not occur and the entrancing does not occur is not right. sent2: if the entrance happens the overrefining lotto happens. sent3: the aromatherapy occurs and/or the entrance occurs. sent4: the fact that the overrefining lotto or the diploid or both occurs is not right if the aromatherapy does not occur. sent5: the overrefining lotto occurs if the aromatherapy happens.
sent3 & sent5 & sent2 -> int1: the overrefining lotto happens.; int1 -> hypothesis;
the Hegira and/or the paging cracker happens.
$hypothesis$ = that either the overrefining lotto occurs or the diploidness happens or both is not incorrect. ; $context$ = sent1: that the Hegira happens hold if that the aromatherapy does not occur and the entrancing does not occur is not right. sent2: if the entrance happens the overrefining lotto happens. sent3: the aromatherapy occurs and/or the entrance occurs. sent4: the fact that the overrefining lotto or the diploid or both occurs is not right if the aromatherapy does not occur. sent5: the overrefining lotto occurs if the aromatherapy happens. ; $proof$ = 
sent3 & sent5 & sent2 -> int1: the overrefining lotto happens.; int1 -> hypothesis; __PROVED__