The bald eagle is kind. The bald eagle is nice. The bald eagle is not red. The bald eagle needs the dog. The bear eats the bald eagle. The bear is cold. The bear is kind. The bear is young. The bear does not need the dog. The bear sees the dog. The dog eats the bear. The dog is red. The dog needs the bald eagle. The dog sees the bald eagle. The dog sees the bear. If the bald eagle sees the dog and the bald eagle is nice then the bald eagle is not red. If something eats the dog then the dog is not nice. If something needs the bald eagle then the bald eagle is not young. If something sees the dog then it is cold. If something is nice and kind then it needs the bear. If something needs the bald eagle and the bald eagle needs the bear then it sees the dog. If something sees the bear and it needs the bald eagle then the bear sees the bald eagle. If something needs the bald eagle and it sees the dog then it is kind.
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
The bald eagle is not red.
("bald eagle" "is" "red" "-")
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
The bear eats the bald eagle.
("bear" "eats" "bald eagle" "+")
The bear is cold.
("bear" "is" "cold" "+")
The bear is kind.
("bear" "is" "kind" "+")
The bear is young.
("bear" "is" "young" "+")
The bear does not need the dog.
("bear" "needs" "dog" "-")
The bear sees the dog.
("bear" "sees" "dog" "+")
The dog eats the bear.
("dog" "eats" "bear" "+")
The dog is red.
("dog" "is" "red" "+")
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
The dog sees the bear.
("dog" "sees" "bear" "+")
If the bald eagle sees the dog and the bald eagle is nice then the bald eagle is not red.
((("bald eagle" "sees" "dog" "+") ("bald eagle" "is" "nice" "+")) -> ("bald eagle" "is" "red" "-"))
If something eats the dog then the dog is not nice.
((("something" "eats" "dog" "+")) -> ("dog" "is" "nice" "-"))
If something needs the bald eagle then the bald eagle is not young.
((("something" "needs" "bald eagle" "+")) -> ("bald eagle" "is" "young" "-"))
If something sees the dog then it is cold.
((("something" "sees" "dog" "+")) -> ("something" "is" "cold" "+"))
If something is nice and kind then it needs the bear.
((("something" "is" "nice" "+") ("something" "is" "kind" "+")) -> ("something" "needs" "bear" "+"))
If something needs the bald eagle and the bald eagle needs the bear then it sees the dog.
((("something" "needs" "bald eagle" "+") ("bald eagle" "needs" "bear" "+")) -> ("something" "sees" "dog" "+"))
If something sees the bear and it needs the bald eagle then the bear sees the bald eagle.
((("something" "sees" "bear" "+") ("something" "needs" "bald eagle" "+")) -> ("bear" "sees" "bald eagle" "+"))
If something needs the bald eagle and it sees the dog then it is kind.
((("something" "needs" "bald eagle" "+") ("something" "sees" "dog" "+")) -> ("something" "is" "kind" "+"))
The bald eagle is not red.
True
1
proof
[(triple3)]
("bald eagle" "is" "red" "-")
triple3
The dog does not eat the bear.
False
1
inv-proof
[(triple11)]
("dog" "eats" "bear" "-")
triple11
The bald eagle is not young.
True
2
proof
[(((triple13) -> rule3))]
("bald eagle" "is" "young" "-")
((triple13) -> (rule3 % int1))
The bald eagle is not young.
("bald eagle" "is" "young" "-")
int1
The bald eagle is young.
False
2
inv-proof
[(((triple13) -> rule3))]
("bald eagle" "is" "young" "+")
((triple13) -> (rule3 % int1))
The bald eagle is not young.
("bald eagle" "is" "young" "-")
int1
The dog sees the dog.
True
5
proof
[(((triple13 ((triple2 triple1) -> rule5)) -> rule6))]
("dog" "sees" "dog" "+")
((triple13 ((triple2 triple1) -> (rule5 % int2))) -> (rule6 % int1))
The dog sees the dog.
("dog" "sees" "dog" "+")
int1
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int2
The dog does not see the dog.
False
5
inv-proof
[(((triple13 ((triple2 triple1) -> rule5)) -> rule6))]
("dog" "sees" "dog" "-")
((triple13 ((triple2 triple1) -> (rule5 % int2))) -> (rule6 % int1))
The dog sees the dog.
("dog" "sees" "dog" "+")
int1
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int2
The dog is kind.
True
7
proof
[(((triple13 ((triple13 ((triple2 triple1) -> rule5)) -> rule6)) -> rule8))]
("dog" "is" "kind" "+")
((triple13 ((triple13 ((triple2 triple1) -> (rule5 % int3))) -> (rule6 % int2))) -> (rule8 % int1))
The dog is kind.
("dog" "is" "kind" "+")
int1
The dog sees the dog.
("dog" "sees" "dog" "+")
int2
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int3
The dog is not kind.
False
7
inv-proof
[(((triple13 ((triple13 ((triple2 triple1) -> rule5)) -> rule6)) -> rule8))]
("dog" "is" "kind" "-")
((triple13 ((triple13 ((triple2 triple1) -> (rule5 % int3))) -> (rule6 % int2))) -> (rule8 % int1))
The dog is kind.
("dog" "is" "kind" "+")
int1
The dog sees the dog.
("dog" "sees" "dog" "+")
int2
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int3
The bald eagle is not cold.
Unknown
inv-rconc
[@2: The bald eagle is cold.[CWA. Example of deepest failure = (rule4 <- rule6 <- FAIL)]]
("bald eagle" "is" "cold" "-")
The dog needs the bear.
Unknown
rconc
[@1: The dog needs the bear.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("dog" "needs" "bear" "+")
The bear does not need the bear.
Unknown
inv-rconc
[@1: The bear needs the bear.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("bear" "needs" "bear" "-")
The bald eagle sees the dog.
Unknown
rconc
[@1: The bald eagle sees the dog.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("bald eagle" "sees" "dog" "+")
The bear is not red.
Unknown
inv-random
[@0: The bear is red.[CWA. Example of deepest failure = (FAIL)]]
("bear" "is" "red" "-")
The dog needs the dog.
Unknown
random
[@0: The dog needs the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "dog" "+")
The bear does not eat the dog.
Unknown
inv-random
[@0: The bear eats the dog.[CWA. Example of deepest failure = (FAIL)]]
("bear" "eats" "dog" "-")
The bear is nice.
Unknown
random
[@0: The bear is nice.[CWA. Example of deepest failure = (FAIL)]]
("bear" "is" "nice" "+")
@0: The bald eagle is kind.[(triple1)] The bald eagle is nice.[(triple2)] The bald eagle is not red.[(triple3)] The bald eagle needs the dog.[(triple4)] The bear does not need the dog.[(triple9)] The bear eats the bald eagle.[(triple5)] The bear is cold.[(triple6 OR ((triple10) -> rule4))] The bear is kind.[(triple7)] The bear is young.[(triple8)] The bear sees the dog.[(triple10)] The dog eats the bear.[(triple11)] The dog is red.[(triple12)] The dog needs the bald eagle.[(triple13)] The dog sees the bald eagle.[(triple14)] The dog sees the bear.[(triple15)] @1: The bald eagle is not young.[(((triple13) -> rule3))] The bald eagle needs the bear.[(((triple2 triple1) -> rule5))] The bear sees the bald eagle.[(((triple15 triple13) -> rule7))] @2: The dog sees the dog.[(((triple13 ((triple2 triple1) -> rule5)) -> rule6))] @3: The dog is cold.[(((((triple13 ((triple2 triple1) -> rule5)) -> rule6)) -> rule4))] The dog is kind.[(((triple13 ((triple13 ((triple2 triple1) -> rule5)) -> rule6)) -> rule8))]
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
triple1
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
triple2
The bald eagle is not red.
("bald eagle" "is" "red" "-")
triple3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
triple4
The bear does not need the dog.
("bear" "needs" "dog" "-")
triple9
The bear eats the bald eagle.
("bear" "eats" "bald eagle" "+")
triple5
The bear is cold.
("bear" "is" "cold" "+")
triple6
((triple10) -> (rule4 % int1))
The bear is cold.
("bear" "is" "cold" "+")
int1
The bear is kind.
("bear" "is" "kind" "+")
triple7
The bear is young.
("bear" "is" "young" "+")
triple8
The bear sees the dog.
("bear" "sees" "dog" "+")
triple10
The dog eats the bear.
("dog" "eats" "bear" "+")
triple11
The dog is red.
("dog" "is" "red" "+")
triple12
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
triple13
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
triple14
The dog sees the bear.
("dog" "sees" "bear" "+")
triple15
The bald eagle is not young.
("bald eagle" "is" "young" "-")
((triple13) -> (rule3 % int1))
The bald eagle is not young.
("bald eagle" "is" "young" "-")
int1
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
((triple2 triple1) -> (rule5 % int1))
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int1
The bear sees the bald eagle.
("bear" "sees" "bald eagle" "+")
((triple15 triple13) -> (rule7 % int1))
The bear sees the bald eagle.
("bear" "sees" "bald eagle" "+")
int1
The dog sees the dog.
("dog" "sees" "dog" "+")
((triple13 ((triple2 triple1) -> (rule5 % int2))) -> (rule6 % int1))
The dog sees the dog.
("dog" "sees" "dog" "+")
int1
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int2
The dog is cold.
("dog" "is" "cold" "+")
((((triple13 ((triple2 triple1) -> (rule5 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The dog is cold.
("dog" "is" "cold" "+")
int1
The dog sees the dog.
("dog" "sees" "dog" "+")
int2
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int3
The dog is kind.
("dog" "is" "kind" "+")
((triple13 ((triple13 ((triple2 triple1) -> (rule5 % int3))) -> (rule6 % int2))) -> (rule8 % int1))
The dog is kind.
("dog" "is" "kind" "+")
int1
The dog sees the dog.
("dog" "sees" "dog" "+")
int2
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int3