The bald eagle is cold. The bald eagle is nice. The bald eagle is red. The dog is green. The dog is nice. The dog likes the bald eagle. The dog likes the rabbit. The rabbit eats the bald eagle. The rabbit is cold. The rabbit likes the bald eagle. The rabbit likes the dog. The rabbit needs the bald eagle. If something needs the rabbit then it is nice. If the rabbit eats the bald eagle then the rabbit needs the bald eagle. If something is green then it eats the dog. If something needs the bald eagle then it is green. If something is green and it needs the rabbit then it needs the dog. If something eats the dog and it eats the bald eagle then it eats the rabbit.
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
The bald eagle is red.
("bald eagle" "is" "red" "+")
The dog is green.
("dog" "is" "green" "+")
The dog is nice.
("dog" "is" "nice" "+")
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
The dog likes the rabbit.
("dog" "likes" "rabbit" "+")
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
The rabbit is cold.
("rabbit" "is" "cold" "+")
The rabbit likes the bald eagle.
("rabbit" "likes" "bald eagle" "+")
The rabbit likes the dog.
("rabbit" "likes" "dog" "+")
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
If something needs the rabbit then it is nice.
((("something" "needs" "rabbit" "+")) -> ("something" "is" "nice" "+"))
If the rabbit eats the bald eagle then the rabbit needs the bald eagle.
((("rabbit" "eats" "bald eagle" "+")) -> ("rabbit" "needs" "bald eagle" "+"))
If something is green then it eats the dog.
((("something" "is" "green" "+")) -> ("something" "eats" "dog" "+"))
If something needs the bald eagle then it is green.
((("something" "needs" "bald eagle" "+")) -> ("something" "is" "green" "+"))
If something is green and it needs the rabbit then it needs the dog.
((("something" "is" "green" "+") ("something" "needs" "rabbit" "+")) -> ("something" "needs" "dog" "+"))
If something eats the dog and it eats the bald eagle then it eats the rabbit.
((("something" "eats" "dog" "+") ("something" "eats" "bald eagle" "+")) -> ("something" "eats" "rabbit" "+"))
The dog is green.
True
1
proof
[(triple4)]
("dog" "is" "green" "+")
triple4
The bald eagle is not red.
False
1
inv-proof
[(triple3)]
("bald eagle" "is" "red" "-")
triple3
The rabbit is green.
True
2
proof
[(((triple12) -> rule4) OR ((((triple8) -> rule2)) -> rule4))]
("rabbit" "is" "green" "+")
((triple12) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
((((triple8) -> (rule2 % int2))) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The rabbit is not green.
False
2
inv-proof
[(((triple12) -> rule4) OR ((((triple8) -> rule2)) -> rule4))]
("rabbit" "is" "green" "-")
((triple12) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
((((triple8) -> (rule2 % int2))) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The rabbit eats the dog.
True
3
proof
[(((((triple12) -> rule4)) -> rule3) OR ((((((triple8) -> rule2)) -> rule4)) -> rule3))]
("rabbit" "eats" "dog" "+")
((((triple12) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
((((((triple8) -> (rule2 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int3
The rabbit does not eat the dog.
False
3
inv-proof
[(((((triple12) -> rule4)) -> rule3) OR ((((((triple8) -> rule2)) -> rule4)) -> rule3))]
("rabbit" "eats" "dog" "-")
((((triple12) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
((((((triple8) -> (rule2 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int3
The rabbit eats the rabbit.
True
5
proof
[(((((((triple12) -> rule4)) -> rule3) triple8) -> rule6) OR ((((((((triple8) -> rule2)) -> rule4)) -> rule3) triple8) -> rule6))]
("rabbit" "eats" "rabbit" "+")
((((((triple12) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
((((((((triple8) -> (rule2 % int4))) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int4
The rabbit does not eat the rabbit.
False
5
inv-proof
[(((((((triple12) -> rule4)) -> rule3) triple8) -> rule6) OR ((((((((triple8) -> rule2)) -> rule4)) -> rule3) triple8) -> rule6))]
("rabbit" "eats" "rabbit" "-")
((((((triple12) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
((((((((triple8) -> (rule2 % int4))) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int4
The bald eagle does not eat the rabbit.
Unknown
inv-rconc
[@1: The bald eagle eats the rabbit.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("bald eagle" "eats" "rabbit" "-")
The dog needs the dog.
Unknown
rconc
[@1: The dog needs the dog.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("dog" "needs" "dog" "+")
The bald eagle does not eat the dog.
Unknown
inv-rconc
[@2: The bald eagle eats the dog.[CWA. Example of deepest failure = (rule3 <- rule4 <- FAIL)]]
("bald eagle" "eats" "dog" "-")
The rabbit needs the dog.
Unknown
rconc
[@1: The rabbit needs the dog.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("rabbit" "needs" "dog" "+")
The rabbit does not need the rabbit.
Unknown
inv-random
[@0: The rabbit needs the rabbit.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "needs" "rabbit" "-")
The dog likes the dog.
Unknown
random
[@0: The dog likes the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "likes" "dog" "+")
The bald eagle does not like the bald eagle.
Unknown
inv-random
[@0: The bald eagle likes the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "likes" "bald eagle" "-")
The rabbit is rough.
Unknown
random
[@0: The rabbit is rough.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "is" "rough" "+")
@0: The bald eagle is cold.[(triple1)] The bald eagle is nice.[(triple2)] The bald eagle is red.[(triple3)] The dog is green.[(triple4)] The dog is nice.[(triple5)] The dog likes the bald eagle.[(triple6)] The dog likes the rabbit.[(triple7)] The rabbit eats the bald eagle.[(triple8)] The rabbit is cold.[(triple9)] The rabbit likes the bald eagle.[(triple10)] The rabbit likes the dog.[(triple11)] The rabbit needs the bald eagle.[(triple12 OR ((triple8) -> rule2))] @1: The dog eats the dog.[(((triple4) -> rule3))] The rabbit is green.[(((triple12) -> rule4) OR ((((triple8) -> rule2)) -> rule4))] @2: The rabbit eats the dog.[(((((triple12) -> rule4)) -> rule3) OR ((((((triple8) -> rule2)) -> rule4)) -> rule3))] @3: The rabbit eats the rabbit.[(((((((triple12) -> rule4)) -> rule3) triple8) -> rule6) OR ((((((((triple8) -> rule2)) -> rule4)) -> rule3) triple8) -> rule6))]
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
triple1
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
triple2
The bald eagle is red.
("bald eagle" "is" "red" "+")
triple3
The dog is green.
("dog" "is" "green" "+")
triple4
The dog is nice.
("dog" "is" "nice" "+")
triple5
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
triple6
The dog likes the rabbit.
("dog" "likes" "rabbit" "+")
triple7
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
triple8
The rabbit is cold.
("rabbit" "is" "cold" "+")
triple9
The rabbit likes the bald eagle.
("rabbit" "likes" "bald eagle" "+")
triple10
The rabbit likes the dog.
("rabbit" "likes" "dog" "+")
triple11
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
triple12
((triple8) -> (rule2 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The dog eats the dog.
("dog" "eats" "dog" "+")
((triple4) -> (rule3 % int1))
The dog eats the dog.
("dog" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
((triple12) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
((((triple8) -> (rule2 % int2))) -> (rule4 % int1))
The rabbit is green.
("rabbit" "is" "green" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
((((triple12) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
((((((triple8) -> (rule2 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int1
The rabbit is green.
("rabbit" "is" "green" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int3
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
((((((triple12) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
((((((((triple8) -> (rule2 % int4))) -> (rule4 % int3))) -> (rule3 % int2)) triple8) -> (rule6 % int1))
The rabbit eats the rabbit.
("rabbit" "eats" "rabbit" "+")
int1
The rabbit eats the dog.
("rabbit" "eats" "dog" "+")
int2
The rabbit is green.
("rabbit" "is" "green" "+")
int3
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int4