The bald eagle is blue. The bald eagle is kind. The bald eagle is rough. The bald eagle likes the dog. The bald eagle needs the dog. The bald eagle visits the cat. The cat is not big. The cat is blue. The cat is kind. The cat is young. The cat likes the bald eagle. The cat visits the bald eagle. The dog is not big. The dog is kind. The dog needs the bald eagle. The dog visits the cat. If the cat likes the dog then the cat needs the dog. If the cat is kind then the cat likes the dog. If something is young and big then it is rough. If the cat likes the dog then the dog needs the bald eagle. If something likes the bald eagle then it needs the bald eagle. If something is rough and kind then it does not need the cat.
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
The cat is not big.
("cat" "is" "big" "-")
The cat is blue.
("cat" "is" "blue" "+")
The cat is kind.
("cat" "is" "kind" "+")
The cat is young.
("cat" "is" "young" "+")
The cat likes the bald eagle.
("cat" "likes" "bald eagle" "+")
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
The dog is not big.
("dog" "is" "big" "-")
The dog is kind.
("dog" "is" "kind" "+")
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
The dog visits the cat.
("dog" "visits" "cat" "+")
If the cat likes the dog then the cat needs the dog.
((("cat" "likes" "dog" "+")) -> ("cat" "needs" "dog" "+"))
If the cat is kind then the cat likes the dog.
((("cat" "is" "kind" "+")) -> ("cat" "likes" "dog" "+"))
If something is young and big then it is rough.
((("something" "is" "young" "+") ("something" "is" "big" "+")) -> ("something" "is" "rough" "+"))
If the cat likes the dog then the dog needs the bald eagle.
((("cat" "likes" "dog" "+")) -> ("dog" "needs" "bald eagle" "+"))
If something likes the bald eagle then it needs the bald eagle.
((("something" "likes" "bald eagle" "+")) -> ("something" "needs" "bald eagle" "+"))
If something is rough and kind then it does not need the cat.
((("something" "is" "rough" "+") ("something" "is" "kind" "+")) -> ("something" "needs" "cat" "-"))
The cat is kind.
True
1
proof
[(triple9)]
("cat" "is" "kind" "+")
triple9
The dog does not visit the cat.
False
1
inv-proof
[(triple16)]
("dog" "visits" "cat" "-")
triple16
The cat likes the dog.
True
2
proof
[(((triple9) -> rule2))]
("cat" "likes" "dog" "+")
((triple9) -> (rule2 % int1))
The cat likes the dog.
("cat" "likes" "dog" "+")
int1
The bald eagle needs the cat.
False
3
inv-proof
[(((triple3 triple2) -> rule6))]
("bald eagle" "needs" "cat" "+")
((triple3 triple2) -> (rule6 % int1))
The bald eagle does not need the cat.
("bald eagle" "needs" "cat" "-")
int1
The cat needs the dog.
True
3
proof
[(((((triple9) -> rule2)) -> rule1))]
("cat" "needs" "dog" "+")
((((triple9) -> (rule2 % int2))) -> (rule1 % int1))
The cat needs the dog.
("cat" "needs" "dog" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The cat does not need the dog.
False
3
inv-proof
[(((((triple9) -> rule2)) -> rule1))]
("cat" "needs" "dog" "-")
((((triple9) -> (rule2 % int2))) -> (rule1 % int1))
The cat needs the dog.
("cat" "needs" "dog" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The dog is not rough.
Unknown
inv-rconc
[@1: The dog is rough.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("dog" "is" "rough" "-")
The bald eagle needs the bald eagle.
Unknown
rconc
[@1: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("bald eagle" "needs" "bald eagle" "+")
The cat is not rough.
Unknown
inv-rconc
[@1: The cat is rough.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("cat" "is" "rough" "-")
The cat visits the cat.
Unknown
random
[@0: The cat visits the cat.[CWA. Example of deepest failure = (FAIL)]]
("cat" "visits" "cat" "+")
The dog does not visit the dog.
Unknown
inv-random
[@0: The dog visits the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "dog" "-")
The dog likes the dog.
Unknown
random
[@0: The dog likes the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "likes" "dog" "+")
@0: The bald eagle is blue.[(triple1)] The bald eagle is kind.[(triple2)] The bald eagle is rough.[(triple3)] The bald eagle likes the dog.[(triple4)] The bald eagle needs the dog.[(triple5)] The bald eagle visits the cat.[(triple6)] The cat is blue.[(triple8)] The cat is kind.[(triple9)] The cat is not big.[(triple7)] The cat is young.[(triple10)] The cat likes the bald eagle.[(triple11)] The cat visits the bald eagle.[(triple12)] The dog is kind.[(triple14)] The dog is not big.[(triple13)] The dog needs the bald eagle.[(triple15 OR ((((triple9) -> rule2)) -> rule4))] The dog visits the cat.[(triple16)] @1: The bald eagle does not need the cat.[(((triple3 triple2) -> rule6))] The cat likes the dog.[(((triple9) -> rule2))] The cat needs the bald eagle.[(((triple11) -> rule5))] @2: The cat needs the dog.[(((((triple9) -> rule2)) -> rule1))]
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
triple2
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
triple3
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
triple4
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
triple5
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
triple6
The cat is blue.
("cat" "is" "blue" "+")
triple8
The cat is kind.
("cat" "is" "kind" "+")
triple9
The cat is not big.
("cat" "is" "big" "-")
triple7
The cat is young.
("cat" "is" "young" "+")
triple10
The cat likes the bald eagle.
("cat" "likes" "bald eagle" "+")
triple11
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
triple12
The dog is kind.
("dog" "is" "kind" "+")
triple14
The dog is not big.
("dog" "is" "big" "-")
triple13
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
triple15
((((triple9) -> (rule2 % int2))) -> (rule4 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The dog visits the cat.
("dog" "visits" "cat" "+")
triple16
The bald eagle does not need the cat.
("bald eagle" "needs" "cat" "-")
((triple3 triple2) -> (rule6 % int1))
The bald eagle does not need the cat.
("bald eagle" "needs" "cat" "-")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
((triple9) -> (rule2 % int1))
The cat likes the dog.
("cat" "likes" "dog" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
((triple11) -> (rule5 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
((((triple9) -> (rule2 % int2))) -> (rule1 % int1))
The cat needs the dog.
("cat" "needs" "dog" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2