$answer$ ; $proof$ ; $question$ = Anne is round. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = True ; $proof$ = # sent15%int1 & # sent8%int2 # sent16%int3 sent1 # sent16%int3 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not round. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = False ; $proof$ = # sent15%int1 & # sent8%int2 # sent16%int3 sent1 # sent16%int3 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is quiet. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = True ; $proof$ = # sent12%int1 & # sent15%int2 & # sent8%int3 # sent16%int4 sent1 # sent16%int4 sent1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not quiet. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = False ; $proof$ = # sent12%int1 & # sent15%int2 & # sent8%int3 # sent16%int4 sent1 # sent16%int4 sent1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is big. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = True ; $proof$ = # sent13%int1 & # sent15%int3 & # sent8%int4 # sent16%int5 sent1 # sent16%int5 sent1 # sent12%int2 & # sent15%int3 & # sent8%int4 # sent16%int5 sent1 # sent16%int5 sent1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not big. ; $context$ = sent1: Anne is red. sent2: Dave is smart. sent3: Erin is big. sent4: Erin is blue. sent5: Erin is red. sent6: Erin is round. sent7: Fiona is furry. sent8: Furry people are smart. sent9: All blue people are smart. sent10: All round, big people are smart. sent11: If someone is blue and furry then they are quiet. sent12: All round, red people are quiet. sent13: Round, quiet people are big. sent14: If someone is furry and not red then they are round. sent15: Smart, furry people are round. sent16: If someone is red then they are furry.

$answer$ = False ; $proof$ = # sent13%int1 & # sent15%int3 & # sent8%int4 # sent16%int5 sent1 # sent16%int5 sent1 # sent12%int2 & # sent15%int3 & # sent8%int4 # sent16%int5 sent1 # sent16%int5 sent1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Dave is nice. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = sent1


$answer$ ; $proof$ ; $question$ = Erin is not nice. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = sent3


$answer$ ; $proof$ ; $question$ = Dave is round. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = # sent15%int1 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not round. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = # sent15%int1 sent4 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Gary is quiet. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = # sent13%int1 & # sent8%int2 sent7 sent7 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not red. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = # sent16%int1 # sent15%int2 sent4 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Dave is cold. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = # sent14%int1 & # sent16%int2 # sent15%int3 sent2 # sent15%int3 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not cold. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = # sent14%int1 & # sent16%int2 # sent15%int3 sent4 # sent15%int3 sent4 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is red. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = # sent16%int1 # sent15%int2 # sent13%int3 & # sent8%int4 sent5 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is not red. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = # sent16%int1 # sent15%int2 # sent13%int3 & # sent8%int4 sent5 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is cold. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = True ; $proof$ = # sent14%int1 & # sent16%int2 # sent15%int3 # sent13%int4 & # sent8%int5 sent5 sent5 # sent15%int3 # sent13%int4 & # sent8%int5 sent5 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is not nice. ; $context$ = sent1: Dave is nice. sent2: Dave is quiet. sent3: Erin is nice. sent4: Erin is quiet. sent5: Fiona is young. sent6: Gary is cold. sent7: Gary is young. sent8: If someone is young then they are big. sent9: Big, nice people are red. sent10: If Dave is young and Dave is nice then Dave is red. sent11: Red, young people are nice. sent12: If someone is nice then they are quiet. sent13: If someone is big and young then they are quiet. sent14: If someone is red and round then they are cold. sent15: If someone is quiet then they are round. sent16: If someone is round then they are red.

$answer$ = False ; $proof$ = # sent11%int1 & # sent16%int2 # sent15%int3 # sent13%int4 & # sent8%int5 sent5 sent5 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The dog is cold. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = sent4


$answer$ ; $proof$ ; $question$ = The squirrel does not visit the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = sent11


$answer$ ; $proof$ ; $question$ = The lion needs the lion. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = # sent15%int1 sent7 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The squirrel does not need the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = # sent18%int1 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The squirrel needs the lion. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = # sent15%int1 # sent18%int2 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The squirrel does not need the lion. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = # sent15%int1 # sent18%int2 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion is big. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = # sent14%int1 & sent8 # sent15%int2 # sent18%int3 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion is not big. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = # sent14%int1 & sent8 # sent15%int2 # sent18%int3 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion visits the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = # sent16%int1 & sent10 # sent14%int2 & sent8 # sent15%int3 # sent18%int4 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not visit the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = # sent16%int1 & sent10 # sent14%int2 & sent8 # sent15%int3 # sent18%int4 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion likes the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = True ; $proof$ = # sent17%int1 # sent16%int2 & sent10 # sent14%int3 & sent8 # sent15%int4 # sent18%int5 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not like the dog. ; $context$ = sent1: The bald eagle is blue. sent2: The bald eagle needs the dog. sent3: The bald eagle needs the squirrel. sent4: The dog is cold. sent5: The dog visits the bald eagle. sent6: The lion likes the bald eagle. sent7: The lion needs the dog. sent8: The lion needs the squirrel. sent9: The lion visits the bald eagle. sent10: The squirrel is big. sent11: The squirrel visits the dog. sent12: If the squirrel is round then the squirrel is red. sent13: If something likes the lion and the lion is blue then it likes the squirrel. sent14: If something is big and it needs the lion then the lion is big. sent15: If something needs the dog then it needs the lion. sent16: If something needs the squirrel and it is big then it visits the dog. sent17: If something visits the dog then it likes the dog. sent18: If the lion needs the squirrel and the squirrel visits the dog then the squirrel needs the dog.

$answer$ = False ; $proof$ = # sent17%int1 # sent16%int2 & sent10 # sent14%int3 & sent8 # sent15%int4 # sent18%int5 sent11 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The mouse needs the dog. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = sent3


$answer$ ; $proof$ ; $question$ = The mouse does not need the rabbit. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = sent4


$answer$ ; $proof$ ; $question$ = The dog is red. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = # sent8%int1 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The dog is not red. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = # sent8%int1 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The mouse needs the lion. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = # sent12%int1 & sent3 # sent8%int2 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The rabbit does not need the lion. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = # sent12%int1 & sent3 # sent8%int2 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion needs the dog. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = # sent13%int1 # sent12%int2 & sent3 # sent8%int3 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The rabbit does not like the rabbit. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = # sent15%int1 # sent12%int2 & sent3 # sent8%int3 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion likes the dog. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = # sent10%int1 # sent13%int2 # sent12%int3 & sent3 # sent8%int4 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not like the dog. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = # sent10%int1 # sent13%int2 # sent12%int3 & sent3 # sent8%int4 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion needs the lion. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = True ; $proof$ = # sent12%int1 & sent3 # sent8%int5 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not need the lion. ; $context$ = sent1: The dog likes the lion. sent2: The lion likes the mouse. sent3: The mouse needs the dog. sent4: The mouse needs the rabbit. sent5: The rabbit is rough. sent6: The rabbit likes the dog. sent7: The rabbit visits the lion. sent8: If something needs the dog and the dog does not like the mouse then the dog is red. sent9: If something needs the lion and it is rough then it likes the dog. sent10: If something needs the dog then it likes the dog. sent11: If something is rough and it likes the rabbit then it is red. sent12: If something likes the dog and the dog is red then it needs the lion. sent13: If something needs the lion then the lion needs the dog. sent14: If something needs the rabbit and it does not visit the rabbit then the rabbit likes the dog. sent15: If something needs the lion then it likes the rabbit. sent16: If something needs the dog and it is red then the dog is big.

$answer$ = False ; $proof$ = # sent12%int1 & sent3 # sent8%int5 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Dave is quiet. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = sent10


$answer$ ; $proof$ ; $question$ = Dave is not nice. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = sent9


$answer$ ; $proof$ ; $question$ = Dave is green. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = # sent20%int1 sent10 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is not quiet. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = # sent16%int1 sent14 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is green. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = # sent19%int1 & sent14 # sent16%int2 sent14 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not green. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = # sent19%int1 & sent2 # sent16%int2 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is kind. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = # sent17%int1 & sent2 # sent19%int2 & sent2 # sent16%int3 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not kind. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = # sent17%int1 & sent2 # sent19%int2 & sent2 # sent16%int3 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is nice. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = # sent18%int1 & sent1 # sent17%int2 & sent2 # sent19%int3 & sent2 # sent16%int4 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not nice. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = # sent18%int1 & sent1 # sent17%int2 & sent2 # sent19%int3 & sent2 # sent16%int4 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is rough. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = True ; $proof$ = # sent15%int1 # sent18%int2 & sent1 # sent17%int3 & sent2 # sent19%int4 & sent2 # sent16%int5 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Anne is not rough. ; $context$ = sent1: Anne is furry. sent2: Anne is round. sent3: Charlie is green. sent4: Charlie is kind. sent5: Charlie is nice. sent6: Charlie is quiet. sent7: Charlie is rough. sent8: Charlie is round. sent9: Dave is nice. sent10: Dave is quiet. sent11: Dave is rough. sent12: Fiona is furry. sent13: Fiona is kind. sent14: Fiona is round. sent15: If someone is nice then they are rough. sent16: All round people are quiet. sent17: If Anne is round and Anne is green then Anne is kind. sent18: Furry, kind people are nice. sent19: Round, quiet people are green. sent20: All rough, quiet people are green.

$answer$ = False ; $proof$ = # sent15%int1 # sent18%int2 & sent1 # sent17%int3 & sent2 # sent19%int4 & sent2 # sent16%int5 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Gary is big. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = sent5


$answer$ ; $proof$ ; $question$ = Harry is not kind. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = sent11


$answer$ ; $proof$ ; $question$ = Gary is white. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = # sent14%int1 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is not white. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = # sent14%int1 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Fiona is young. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = # sent19%int1 # sent13%int2 sent3 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not kind. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = # sent17%int1 # sent13%int2 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Harry is white. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = # sent14%int1 & # sent21%int2 & sent9 # sent13%int3 sent10 sent9 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not big. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = # sent15%int1 & sent1 # sent19%int2 # sent13%int3 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is furry. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = # sent21%int1 & # sent15%int2 & sent1 # sent19%int3 # sent13%int4 sent1 # sent13%int4 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not furry. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = # sent21%int1 & # sent15%int2 & sent1 # sent19%int3 # sent13%int4 sent1 # sent13%int4 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is white. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = True ; $proof$ = # sent14%int1 & # sent21%int2 & # sent15%int3 & sent1 # sent19%int4 # sent13%int5 sent1 # sent13%int5 sent1 # sent15%int3 & sent1 # sent19%int4 # sent13%int5 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = Erin is not white. ; $context$ = sent1: Erin is blue. sent2: Fiona is big. sent3: Fiona is blue. sent4: Fiona is furry. sent5: Gary is big. sent6: Gary is furry. sent7: Gary is kind. sent8: Gary is nice. sent9: Harry is big. sent10: Harry is blue. sent11: Harry is kind. sent12: Harry is young. sent13: All blue things are nice. sent14: All furry, big things are white. sent15: If something is blue and young then it is big. sent16: If Gary is furry and Gary is young then Gary is blue. sent17: Nice things are kind. sent18: If something is young and furry then it is nice. sent19: If something is nice then it is young. sent20: All furry, blue things are kind. sent21: Big, nice things are furry.

$answer$ = False ; $proof$ = # sent14%int1 & # sent21%int2 & # sent15%int3 & sent1 # sent19%int4 # sent13%int5 sent1 # sent13%int5 sent1 # sent15%int3 & sent1 # sent19%int4 # sent13%int5 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear eats the mouse. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = sent1


$answer$ ; $proof$ ; $question$ = The lion does not eat the squirrel. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = sent7


$answer$ ; $proof$ ; $question$ = The lion chases the squirrel. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = # sent22%int1 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not chase the squirrel. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = # sent22%int1 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion eats the bear. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = # sent24%int1 # sent22%int2 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not eat the bear. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = # sent24%int1 # sent22%int2 sent5 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear chases the mouse. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = # sent21%int1 & # sent24%int2 # sent22%int3 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear does not chase the mouse. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = # sent21%int1 & # sent24%int2 # sent22%int3 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear chases the squirrel. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = # sent22%int1 # sent21%int2 & # sent24%int3 # sent22%int4 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear does not chase the squirrel. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = # sent22%int1 # sent21%int2 & # sent24%int3 # sent22%int4 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear eats the bear. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = True ; $proof$ = # sent24%int1 # sent22%int2 # sent21%int3 & # sent24%int4 # sent22%int5 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear does not eat the bear. ; $context$ = sent1: The bear eats the mouse. sent2: The bear needs the mouse. sent3: The bear needs the squirrel. sent4: The lion chases the bear. sent5: The lion chases the mouse. sent6: The lion eats the mouse. sent7: The lion eats the squirrel. sent8: The lion is blue. sent9: The lion is green. sent10: The lion needs the bear. sent11: The lion needs the mouse. sent12: The lion needs the squirrel. sent13: The mouse is cold. sent14: The squirrel chases the lion. sent15: The squirrel chases the mouse. sent16: The squirrel is round. sent17: If someone is kind and they do not eat the squirrel then they chase the bear. sent18: If someone needs the squirrel and they are not round then the squirrel needs the lion. sent19: If someone needs the lion and the lion does not need the bear then the lion needs the mouse. sent20: If someone needs the squirrel then the squirrel needs the mouse. sent21: If someone eats the bear and they do not chase the bear then the bear chases the mouse. sent22: If someone chases the mouse then they chase the squirrel. sent23: If someone chases the squirrel and the squirrel is not cold then the squirrel chases the lion. sent24: If someone chases the squirrel then they eat the bear.

$answer$ = False ; $proof$ = # sent24%int1 # sent22%int2 # sent21%int3 & # sent24%int4 # sent22%int5 sent15 naf1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The rabbit eats the cow. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = sent10


$answer$ ; $proof$ ; $question$ = The lion does not need the rabbit. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = sent7


$answer$ ; $proof$ ; $question$ = The cow needs the cow. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = # sent18%int1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The cow does not need the cow. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = # sent18%int1 sent1 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The cow chases the lion. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = # sent17%int1 & sent2 # sent14%int2 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The cow does not chase the lion. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = # sent17%int1 & sent2 # sent14%int2 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion is young. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = # sent15%int1 # sent17%int2 & sent2 # sent14%int3 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion is not young. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = # sent15%int1 # sent17%int2 & sent2 # sent14%int3 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion is green. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = # sent16%int1 & # sent17%int3 & sent2 # sent14%int4 sent2 # sent15%int2 # sent17%int3 & sent2 # sent14%int4 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The lion does not eat the cow. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = # sent14%int1 # sent15%int2 # sent17%int3 & sent2 # sent14%int4 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The cow chases the mouse. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = True ; $proof$ = # sent12%int1 & sent4 # sent14%int2 # sent15%int3 # sent17%int4 & sent2 # sent14%int5 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The cow does not chase the mouse. ; $context$ = sent1: The cow eats the rabbit. sent2: The cow is young. sent3: The cow needs the lion. sent4: The lion is cold. sent5: The lion is nice. sent6: The lion needs the cow. sent7: The lion needs the rabbit. sent8: The mouse is rough. sent9: The mouse needs the cow. sent10: The rabbit eats the cow. sent11: The rabbit needs the cow. sent12: If something is cold and it eats the cow then the cow chases the mouse. sent13: If something is rough and it chases the lion then the lion eats the mouse. sent14: If something is young then it eats the cow. sent15: If something chases the lion then the lion is young. sent16: If something chases the lion and the lion is young then the lion is green. sent17: If something is young and it eats the cow then the cow chases the lion. sent18: If something eats the rabbit then it needs the cow.

$answer$ = False ; $proof$ = # sent12%int1 & sent4 # sent14%int2 # sent15%int3 # sent17%int4 & sent2 # sent14%int5 sent2 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The mouse visits the lion. ; $context$ = sent1: The bear is red. sent2: The bear sees the tiger. sent3: The lion is round. sent4: The lion sees the bear. sent5: The lion visits the bear. sent6: The lion visits the mouse. sent7: The lion visits the tiger. sent8: The mouse is red. sent9: The mouse visits the lion. sent10: The mouse visits the tiger. sent11: The tiger is young. sent12: The tiger likes the bear. sent13: The tiger likes the lion. sent14: The tiger sees the bear. sent15: The tiger sees the mouse. sent16: The tiger visits the mouse. sent17: If something likes the mouse and it is not red then the mouse sees the lion. sent18: If something is young then it likes the mouse. sent19: If the bear is green and the bear does not visit the lion then the bear is young. sent20: If something likes the bear then the bear is green. sent21: If something is green then it sees the lion. sent22: If something is green and it does not see the mouse then the mouse visits the tiger. sent23: If the lion does not visit the tiger then the lion likes the tiger. sent24: If something visits the mouse then the mouse sees the bear. sent25: If something visits the bear and the bear likes the mouse then the mouse is young.

$answer$ = True ; $proof$ = sent9


$answer$ ; $proof$ ; $question$ = The lion does not see the bear. ; $context$ = sent1: The bear is red. sent2: The bear sees the tiger. sent3: The lion is round. sent4: The lion sees the bear. sent5: The lion visits the bear. sent6: The lion visits the mouse. sent7: The lion visits the tiger. sent8: The mouse is red. sent9: The mouse visits the lion. sent10: The mouse visits the tiger. sent11: The tiger is young. sent12: The tiger likes the bear. sent13: The tiger likes the lion. sent14: The tiger sees the bear. sent15: The tiger sees the mouse. sent16: The tiger visits the mouse. sent17: If something likes the mouse and it is not red then the mouse sees the lion. sent18: If something is young then it likes the mouse. sent19: If the bear is green and the bear does not visit the lion then the bear is young. sent20: If something likes the bear then the bear is green. sent21: If something is green then it sees the lion. sent22: If something is green and it does not see the mouse then the mouse visits the tiger. sent23: If the lion does not visit the tiger then the lion likes the tiger. sent24: If something visits the mouse then the mouse sees the bear. sent25: If something visits the bear and the bear likes the mouse then the mouse is young.

$answer$ = False ; $proof$ = sent4


$answer$ ; $proof$ ; $question$ = The bear is green. ; $context$ = sent1: The bear is red. sent2: The bear sees the tiger. sent3: The lion is round. sent4: The lion sees the bear. sent5: The lion visits the bear. sent6: The lion visits the mouse. sent7: The lion visits the tiger. sent8: The mouse is red. sent9: The mouse visits the lion. sent10: The mouse visits the tiger. sent11: The tiger is young. sent12: The tiger likes the bear. sent13: The tiger likes the lion. sent14: The tiger sees the bear. sent15: The tiger sees the mouse. sent16: The tiger visits the mouse. sent17: If something likes the mouse and it is not red then the mouse sees the lion. sent18: If something is young then it likes the mouse. sent19: If the bear is green and the bear does not visit the lion then the bear is young. sent20: If something likes the bear then the bear is green. sent21: If something is green then it sees the lion. sent22: If something is green and it does not see the mouse then the mouse visits the tiger. sent23: If the lion does not visit the tiger then the lion likes the tiger. sent24: If something visits the mouse then the mouse sees the bear. sent25: If something visits the bear and the bear likes the mouse then the mouse is young.

$answer$ = True ; $proof$ = # sent20%int1 sent12 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The mouse does not see the bear. ; $context$ = sent1: The bear is red. sent2: The bear sees the tiger. sent3: The lion is round. sent4: The lion sees the bear. sent5: The lion visits the bear. sent6: The lion visits the mouse. sent7: The lion visits the tiger. sent8: The mouse is red. sent9: The mouse visits the lion. sent10: The mouse visits the tiger. sent11: The tiger is young. sent12: The tiger likes the bear. sent13: The tiger likes the lion. sent14: The tiger sees the bear. sent15: The tiger sees the mouse. sent16: The tiger visits the mouse. sent17: If something likes the mouse and it is not red then the mouse sees the lion. sent18: If something is young then it likes the mouse. sent19: If the bear is green and the bear does not visit the lion then the bear is young. sent20: If something likes the bear then the bear is green. sent21: If something is green then it sees the lion. sent22: If something is green and it does not see the mouse then the mouse visits the tiger. sent23: If the lion does not visit the tiger then the lion likes the tiger. sent24: If something visits the mouse then the mouse sees the bear. sent25: If something visits the bear and the bear likes the mouse then the mouse is young.

$answer$ = False ; $proof$ = # sent24%int1 sent16 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.


$answer$ ; $proof$ ; $question$ = The bear sees the lion. ; $context$ = sent1: The bear is red. sent2: The bear sees the tiger. sent3: The lion is round. sent4: The lion sees the bear. sent5: The lion visits the bear. sent6: The lion visits the mouse. sent7: The lion visits the tiger. sent8: The mouse is red. sent9: The mouse visits the lion. sent10: The mouse visits the tiger. sent11: The tiger is young. sent12: The tiger likes the bear. sent13: The tiger likes the lion. sent14: The tiger sees the bear. sent15: The tiger sees the mouse. sent16: The tiger visits the mouse. sent17: If something likes the mouse and it is not red then the mouse sees the lion. sent18: If something is young then it likes the mouse. sent19: If the bear is green and the bear does not visit the lion then the bear is young. sent20: If something likes the bear then the bear is green. sent21: If something is green then it sees the lion. sent22: If something is green and it does not see the mouse then the mouse visits the tiger. sent23: If the lion does not visit the tiger then the lion likes the tiger. sent24: If something visits the mouse then the mouse sees the bear. sent25: If something visits the bear and the bear likes the mouse then the mouse is young.

$answer$ = True ; $proof$ = # sent21%int1 # sent20%int2 sent12 ; with int1: Harry is furry. ; int1: Harry is big. ; int1: Harry is smart. ; int1: Harry is quiet.