the transactinide does not occur or the opener does not occur or both.
sent1: if both the lockup and the pubicness happens the guessing word does not occur. sent2: if that the Americanness does not occur hold then the fact that not the flexure but the intrinsicness occurs is not right. sent3: the lockup occurs if the saxicolousness does not occur. sent4: the saxicolousness does not occur if that the flexure does not occur but the intrinsicness occurs is wrong. sent5: the productiveness happens. sent6: the transactinide does not occur or the opener does not occur or both if the pubicness does not occur. sent7: the Americanness does not occur. sent8: the fact that the qualification does not occur is not wrong. sent9: if the productiveness happens then the guessing word occurs.
sent2 & sent7 -> int1: that not the flexure but the intrinsicness occurs is not correct.; int1 & sent4 -> int2: the fact that the saxicolousness occurs does not hold.; int2 & sent3 -> int3: the lockup occurs.; void -> assump1: Let's assume that the pubicness occurs.; int3 & assump1 -> int4: both the lockup and the pubicness occurs.; int4 & sent1 -> int5: the guessing word does not occur.; sent9 & sent5 -> int6: the guessing word happens.; int5 & int6 -> int7: this is contradiction.; [assump1] & int7 -> int8: the pubicness does not occur.; int8 & sent6 -> hypothesis;
$hypothesis$ = the transactinide does not occur or the opener does not occur or both. ; $context$ = sent1: if both the lockup and the pubicness happens the guessing word does not occur. sent2: if that the Americanness does not occur hold then the fact that not the flexure but the intrinsicness occurs is not right. sent3: the lockup occurs if the saxicolousness does not occur. sent4: the saxicolousness does not occur if that the flexure does not occur but the intrinsicness occurs is wrong. sent5: the productiveness happens. sent6: the transactinide does not occur or the opener does not occur or both if the pubicness does not occur. sent7: the Americanness does not occur. sent8: the fact that the qualification does not occur is not wrong. sent9: if the productiveness happens then the guessing word occurs. ; $proof$ = 
sent2 & sent7 -> int1: that not the flexure but the intrinsicness occurs is not correct.; int1 & sent4 -> int2: the fact that the saxicolousness occurs does not hold.; int2 & sent3 -> int3: the lockup occurs.; void -> assump1: Let's assume that the pubicness occurs.; int3 & assump1 -> int4: both the lockup and the pubicness occurs.; int4 & sent1 -> int5: the guessing word does not occur.; sent9 & sent5 -> int6: the guessing word happens.; int5 & int6 -> int7: this is contradiction.; [assump1] & int7 -> int8: the pubicness does not occur.; int8 & sent6 -> hypothesis; __PROVED__