if that the clapping boustrophedon does not occur and the swiz occurs does not hold then the vagary does not occur.
sent1: if the happiness but not the luxation happens the clapping boustrophedon does not occur. sent2: the happiness does not occur and the luxation does not occur. sent3: the swiz occurs if the vagary happens. sent4: if the fact that the luxation happens is right the clapping boustrophedon occurs. sent5: the sexism does not occur if the vagary does not occur and the swiz occurs. sent6: if the fact that the split does not occur is right the happiness happens and/or the fortunateness occurs. sent7: the happiness does not occur. sent8: the fact that the clapping boustrophedon does not occur is correct if the happiness does not occur and the luxation does not occur.
void -> assump1: Let's assume that the fact that the vagary occurs is not false.; sent3 & assump1 -> int1: the swiz occurs.; sent8 & sent2 -> int2: the clapping boustrophedon does not occur.; int1 & int2 -> int3: the clapping boustrophedon does not occur and the swiz happens.; void -> assump2: Let's assume that the fact that not the clapping boustrophedon but the swiz happens is not correct.; int3 & assump2 -> int4: this is contradiction.; [assump1] & int4 -> int5: the vagary does not occur.; [assump2] & int5 -> hypothesis;
the sexism does not occur.
$hypothesis$ = if that the clapping boustrophedon does not occur and the swiz occurs does not hold then the vagary does not occur. ; $context$ = sent1: if the happiness but not the luxation happens the clapping boustrophedon does not occur. sent2: the happiness does not occur and the luxation does not occur. sent3: the swiz occurs if the vagary happens. sent4: if the fact that the luxation happens is right the clapping boustrophedon occurs. sent5: the sexism does not occur if the vagary does not occur and the swiz occurs. sent6: if the fact that the split does not occur is right the happiness happens and/or the fortunateness occurs. sent7: the happiness does not occur. sent8: the fact that the clapping boustrophedon does not occur is correct if the happiness does not occur and the luxation does not occur. ; $proof$ = 
void -> assump1: Let's assume that the fact that the vagary occurs is not false.; sent3 & assump1 -> int1: the swiz occurs.; sent8 & sent2 -> int2: the clapping boustrophedon does not occur.; int1 & int2 -> int3: the clapping boustrophedon does not occur and the swiz happens.; void -> assump2: Let's assume that the fact that not the clapping boustrophedon but the swiz happens is not correct.; int3 & assump2 -> int4: this is contradiction.; [assump1] & int4 -> int5: the vagary does not occur.; [assump2] & int5 -> hypothesis; __PROVED__