The bald eagle eats the bear. The bald eagle is blue. The bald eagle sees the cat. The bear does not like the bald eagle. The cat is round. The cat likes the dog. The dog is kind. If the cat sees the bald eagle and the cat eats the dog then the cat does not like the bald eagle. If someone likes the dog then they like the bear. If someone likes the bald eagle and they do not eat the bald eagle then the bald eagle is not round. If the dog eats the bald eagle then the dog is round. If someone likes the bear then they see the bald eagle. If someone likes the bald eagle and they are cold then they do not like the dog. If someone is round then they like the dog. If the bear is round and the bear is not kind then the bear is not cold.
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
The bear does not like the bald eagle.
("bear" "likes" "bald eagle" "-")
The cat is round.
("cat" "is" "round" "+")
The cat likes the dog.
("cat" "likes" "dog" "+")
The dog is kind.
("dog" "is" "kind" "+")
If the cat sees the bald eagle and the cat eats the dog then the cat does not like the bald eagle.
((("cat" "sees" "bald eagle" "+") ("cat" "eats" "dog" "+")) -> ("cat" "likes" "bald eagle" "-"))
If someone likes the dog then they like the bear.
((("someone" "likes" "dog" "+")) -> ("someone" "likes" "bear" "+"))
If someone likes the bald eagle and they do not eat the bald eagle then the bald eagle is not round.
((("someone" "likes" "bald eagle" "+") ("someone" "eats" "bald eagle" "~")) -> ("bald eagle" "is" "round" "-"))
If the dog eats the bald eagle then the dog is round.
((("dog" "eats" "bald eagle" "+")) -> ("dog" "is" "round" "+"))
If someone likes the bear then they see the bald eagle.
((("someone" "likes" "bear" "+")) -> ("someone" "sees" "bald eagle" "+"))
If someone likes the bald eagle and they are cold then they do not like the dog.
((("someone" "likes" "bald eagle" "+") ("someone" "is" "cold" "+")) -> ("someone" "likes" "dog" "-"))
If someone is round then they like the dog.
((("someone" "is" "round" "+")) -> ("someone" "likes" "dog" "+"))
If the bear is round and the bear is not kind then the bear is not cold.
((("bear" "is" "round" "+") ("bear" "is" "kind" "~")) -> ("bear" "is" "cold" "-"))
The cat is round.
True
1
proof
[(triple5)]
("cat" "is" "round" "+")
triple5
The cat does not like the dog.
False
1
inv-proof
[(triple6 OR ((triple5) -> rule7))]
("cat" "likes" "dog" "-")
triple6
((triple5) -> (rule7 % int1))
The cat likes the dog.
("cat" "likes" "dog" "+")
int1
The cat likes the bear.
True
2
proof
[(((triple6) -> rule2) OR ((((triple5) -> rule7)) -> rule2))]
("cat" "likes" "bear" "+")
((triple6) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
((((triple5) -> (rule7 % int2))) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The cat does not like the bear.
False
2
inv-proof
[(((triple6) -> rule2) OR ((((triple5) -> rule7)) -> rule2))]
("cat" "likes" "bear" "-")
((triple6) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
((((triple5) -> (rule7 % int2))) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The cat sees the bald eagle.
True
3
proof
[(((((triple6) -> rule2)) -> rule5) OR ((((((triple5) -> rule7)) -> rule2)) -> rule5))]
("cat" "sees" "bald eagle" "+")
((((triple6) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
((((((triple5) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
The cat likes the dog.
("cat" "likes" "dog" "+")
int3
The cat does not see the bald eagle.
False
3
inv-proof
[(((((triple6) -> rule2)) -> rule5) OR ((((((triple5) -> rule7)) -> rule2)) -> rule5))]
("cat" "sees" "bald eagle" "-")
((((triple6) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
((((((triple5) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
The cat likes the dog.
("cat" "likes" "dog" "+")
int3
The dog does not like the bear.
Unknown
inv-rconc
[@3: The dog likes the bear.[CWA. Example of deepest failure = (rule2 <- rule7 <- rule4 <- FAIL)]]
("dog" "likes" "bear" "-")
The bear likes the dog.
Unknown
rconc
[@1: The bear likes the dog.[CWA. Example of deepest failure = (rule7 <- FAIL)]]
("bear" "likes" "dog" "+")
The dog does not like the dog.
Unknown
inv-rconc
[@2: The dog likes the dog.[CWA. Example of deepest failure = (rule7 <- rule4 <- FAIL)]]
("dog" "likes" "dog" "-")
The dog eats the bald eagle.
Unknown
random
[@0: The dog eats the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("dog" "eats" "bald eagle" "+")
The bald eagle does not see the dog.
Unknown
inv-random
[@0: The bald eagle sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "dog" "-")
The bear is kind.
Unknown
random
[@0: The bear is kind.[CWA. Example of deepest failure = (FAIL)]]
("bear" "is" "kind" "+")
@0: The bald eagle eats the bear.[(triple1)] The bald eagle is blue.[(triple2)] The bald eagle sees the cat.[(triple3)] The bear does not like the bald eagle.[(triple4)] The cat is round.[(triple5)] The cat likes the dog.[(triple6 OR ((triple5) -> rule7))] The dog is kind.[(triple7)] @1: The cat likes the bear.[(((triple6) -> rule2) OR ((((triple5) -> rule7)) -> rule2))] @2: The cat sees the bald eagle.[(((((triple6) -> rule2)) -> rule5) OR ((((((triple5) -> rule7)) -> rule2)) -> rule5))]
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
triple1
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple2
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
triple3
The bear does not like the bald eagle.
("bear" "likes" "bald eagle" "-")
triple4
The cat is round.
("cat" "is" "round" "+")
triple5
The cat likes the dog.
("cat" "likes" "dog" "+")
triple6
((triple5) -> (rule7 % int1))
The cat likes the dog.
("cat" "likes" "dog" "+")
int1
The dog is kind.
("dog" "is" "kind" "+")
triple7
The cat likes the bear.
("cat" "likes" "bear" "+")
((triple6) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
((((triple5) -> (rule7 % int2))) -> (rule2 % int1))
The cat likes the bear.
("cat" "likes" "bear" "+")
int1
The cat likes the dog.
("cat" "likes" "dog" "+")
int2
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
((((triple6) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
((((((triple5) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule5 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat likes the bear.
("cat" "likes" "bear" "+")
int2
The cat likes the dog.
("cat" "likes" "dog" "+")
int3