The bald eagle is blue. The bald eagle is kind. The bear is cold. The bear is kind. The bear likes the bald eagle. The bear likes the dog. The bear visits the bald eagle. The dog is green. The dog is kind. The dog does not visit the bald eagle. If someone likes the bald eagle and they need the bald eagle then the bald eagle is cold. If someone needs the bear then they like the bald eagle. If someone visits the bear and the bear does not visit the bald eagle then they need the bear. If someone is blue then they like the bear. If someone visits the dog then the dog does not need the bear. If someone likes the bear then the bear needs the bald eagle. If someone needs the dog and they are not kind then the dog is young. If someone likes the bald eagle and the bald eagle does not like the bear then the bald eagle likes the dog.
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
The bear is cold.
("bear" "is" "cold" "+")
The bear is kind.
("bear" "is" "kind" "+")
The bear likes the bald eagle.
("bear" "likes" "bald eagle" "+")
The bear likes the dog.
("bear" "likes" "dog" "+")
The bear visits the bald eagle.
("bear" "visits" "bald eagle" "+")
The dog is green.
("dog" "is" "green" "+")
The dog is kind.
("dog" "is" "kind" "+")
The dog does not visit the bald eagle.
("dog" "visits" "bald eagle" "-")
If someone likes the bald eagle and they need the bald eagle then the bald eagle is cold.
((("someone" "likes" "bald eagle" "+") ("someone" "needs" "bald eagle" "+")) -> ("bald eagle" "is" "cold" "+"))
If someone needs the bear then they like the bald eagle.
((("someone" "needs" "bear" "+")) -> ("someone" "likes" "bald eagle" "+"))
If someone visits the bear and the bear does not visit the bald eagle then they need the bear.
((("someone" "visits" "bear" "+") ("bear" "visits" "bald eagle" "~")) -> ("someone" "needs" "bear" "+"))
If someone is blue then they like the bear.
((("someone" "is" "blue" "+")) -> ("someone" "likes" "bear" "+"))
If someone visits the dog then the dog does not need the bear.
((("someone" "visits" "dog" "+")) -> ("dog" "needs" "bear" "-"))
If someone likes the bear then the bear needs the bald eagle.
((("someone" "likes" "bear" "+")) -> ("bear" "needs" "bald eagle" "+"))
If someone needs the dog and they are not kind then the dog is young.
((("someone" "needs" "dog" "+") ("someone" "is" "kind" "~")) -> ("dog" "is" "young" "+"))
If someone likes the bald eagle and the bald eagle does not like the bear then the bald eagle likes the dog.
((("someone" "likes" "bald eagle" "+") ("bald eagle" "likes" "bear" "~")) -> ("bald eagle" "likes" "dog" "+"))
The dog is green.
True
1
proof
[(triple8)]
("dog" "is" "green" "+")
triple8
The bear is not kind.
False
1
inv-proof
[(triple4)]
("bear" "is" "kind" "-")
triple4
The bald eagle likes the bear.
True
2
proof
[(((triple1) -> rule4))]
("bald eagle" "likes" "bear" "+")
((triple1) -> (rule4 % int1))
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int1
The bald eagle does not like the bear.
False
2
inv-proof
[(((triple1) -> rule4))]
("bald eagle" "likes" "bear" "-")
((triple1) -> (rule4 % int1))
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int1
The bear needs the bald eagle.
True
3
proof
[(((((triple1) -> rule4)) -> rule6))]
("bear" "needs" "bald eagle" "+")
((((triple1) -> (rule4 % int2))) -> (rule6 % int1))
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int1
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int2
The bear does not need the bald eagle.
False
3
inv-proof
[(((((triple1) -> rule4)) -> rule6))]
("bear" "needs" "bald eagle" "-")
((((triple1) -> (rule4 % int2))) -> (rule6 % int1))
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int1
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int2
The bald eagle is cold.
True
5
proof
[(((triple5 ((((triple1) -> rule4)) -> rule6)) -> rule1))]
("bald eagle" "is" "cold" "+")
((triple5 ((((triple1) -> (rule4 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int2
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int3
The bald eagle is not cold.
False
5
inv-proof
[(((triple5 ((((triple1) -> rule4)) -> rule6)) -> rule1))]
("bald eagle" "is" "cold" "-")
((triple5 ((((triple1) -> (rule4 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int2
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int3
The bald eagle does not like the dog.
Unknown
inv-rconc
[@1: The bald eagle likes the dog.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("bald eagle" "likes" "dog" "-")
The dog likes the bear.
Unknown
rconc
[@1: The dog likes the bear.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("dog" "likes" "bear" "+")
The bald eagle does not need the bear.
Unknown
inv-rconc
[@1: The bald eagle needs the bear.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("bald eagle" "needs" "bear" "-")
The dog needs the bear.
Unknown
rconc
[@1: The dog needs the bear.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("dog" "needs" "bear" "+")
The bald eagle does not need the bald eagle.
Unknown
inv-random
[@0: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "bald eagle" "-")
The bald eagle visits the bear.
Unknown
random
[@0: The bald eagle visits the bear.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "bear" "+")
The dog does not like the dog.
Unknown
inv-random
[@0: The dog likes the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "likes" "dog" "-")
The bald eagle is young.
Unknown
random
[@0: The bald eagle is young.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "young" "+")
@0: The bald eagle is blue.[(triple1)] The bald eagle is kind.[(triple2)] The bear is cold.[(triple3)] The bear is kind.[(triple4)] The bear likes the bald eagle.[(triple5)] The bear likes the dog.[(triple6)] The bear visits the bald eagle.[(triple7)] The dog does not visit the bald eagle.[(triple10)] The dog is green.[(triple8)] The dog is kind.[(triple9)] @1: The bald eagle likes the bear.[(((triple1) -> rule4))] @2: The bear needs the bald eagle.[(((((triple1) -> rule4)) -> rule6))] @3: The bald eagle is cold.[(((triple5 ((((triple1) -> rule4)) -> rule6)) -> rule1))]
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
triple2
The bear is cold.
("bear" "is" "cold" "+")
triple3
The bear is kind.
("bear" "is" "kind" "+")
triple4
The bear likes the bald eagle.
("bear" "likes" "bald eagle" "+")
triple5
The bear likes the dog.
("bear" "likes" "dog" "+")
triple6
The bear visits the bald eagle.
("bear" "visits" "bald eagle" "+")
triple7
The dog does not visit the bald eagle.
("dog" "visits" "bald eagle" "-")
triple10
The dog is green.
("dog" "is" "green" "+")
triple8
The dog is kind.
("dog" "is" "kind" "+")
triple9
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
((triple1) -> (rule4 % int1))
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int1
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
((((triple1) -> (rule4 % int2))) -> (rule6 % int1))
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int1
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int2
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
((triple5 ((((triple1) -> (rule4 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
int2
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
int3