that the spray but not the treadmill occurs is not true.
sent1: if the aliveness occurs then the fact that the spray but not the treadmill occurs is not true. sent2: the bimetallisticness and the icing voicelessness happens if the communicativeness does not occur. sent3: if the fact that the icing voicelessness does not occur is right the spray but not the treadmill occurs. sent4: the aliveness occurs if the icing voicelessness happens. sent5: the spooning sandstone happens. sent6: the fact that the spraying and the treadmill occurs is incorrect if the aliveness happens. sent7: the fact that both the spraying and the treadmill occurs is false. sent8: both the icing voicelessness and the communicativeness happens. sent9: if the impracticalness occurs the spooning Gujarati occurs. sent10: the Washingtonianness occurs and the icing chemiluminescence happens.
sent8 -> int1: the icing voicelessness happens.; sent4 & int1 -> int2: the fact that the aliveness occurs is right.; sent1 & int2 -> hypothesis;
the spraying but not the treadmill occurs.
$hypothesis$ = that the spray but not the treadmill occurs is not true. ; $context$ = sent1: if the aliveness occurs then the fact that the spray but not the treadmill occurs is not true. sent2: the bimetallisticness and the icing voicelessness happens if the communicativeness does not occur. sent3: if the fact that the icing voicelessness does not occur is right the spray but not the treadmill occurs. sent4: the aliveness occurs if the icing voicelessness happens. sent5: the spooning sandstone happens. sent6: the fact that the spraying and the treadmill occurs is incorrect if the aliveness happens. sent7: the fact that both the spraying and the treadmill occurs is false. sent8: both the icing voicelessness and the communicativeness happens. sent9: if the impracticalness occurs the spooning Gujarati occurs. sent10: the Washingtonianness occurs and the icing chemiluminescence happens. ; $proof$ = 
sent8 -> int1: the icing voicelessness happens.; sent4 & int1 -> int2: the fact that the aliveness occurs is right.; sent1 & int2 -> hypothesis; __PROVED__