the pegging gillie does not occur.
sent1: if the proctorship occurs and the pegging Polystichum happens then the pegging gillie does not occur. sent2: that the cross-culturalness does not occur causes that not the pegging Polystichum but the coning occurs. sent3: the pegging gillie and the proctorship happens if the pegging Polystichum does not occur. sent4: the proctorship occurs. sent5: if that the cross-culturalness and the pegging rubbish happens is not right then the cross-culturalness does not occur. sent6: the pegging Polystichum occurs.
sent4 & sent6 -> int1: the proctorship happens and the pegging Polystichum happens.; sent1 & int1 -> hypothesis;
that the pegging gillie occurs is not incorrect.
$hypothesis$ = the pegging gillie does not occur. ; $context$ = sent1: if the proctorship occurs and the pegging Polystichum happens then the pegging gillie does not occur. sent2: that the cross-culturalness does not occur causes that not the pegging Polystichum but the coning occurs. sent3: the pegging gillie and the proctorship happens if the pegging Polystichum does not occur. sent4: the proctorship occurs. sent5: if that the cross-culturalness and the pegging rubbish happens is not right then the cross-culturalness does not occur. sent6: the pegging Polystichum occurs. ; $proof$ = 
sent4 & sent6 -> int1: the proctorship happens and the pegging Polystichum happens.; sent1 & int1 -> hypothesis; __PROVED__