The bald eagle likes the dog. The bald eagle needs the squirrel. The cat is nice. The cat needs the dog. The cat needs the squirrel. The dog is green. The dog sees the bald eagle. The dog sees the squirrel. The squirrel is green. The squirrel is red. If someone is nice and red then they see the dog. If someone sees the squirrel then the squirrel is red. If someone needs the dog and they need the bald eagle then they like the bald eagle. If someone likes the cat then they need the bald eagle. If someone sees the bald eagle then the bald eagle needs the dog. If someone needs the squirrel then they like the cat.
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
The bald eagle needs the squirrel.
("bald eagle" "needs" "squirrel" "+")
The cat is nice.
("cat" "is" "nice" "+")
The cat needs the dog.
("cat" "needs" "dog" "+")
The cat needs the squirrel.
("cat" "needs" "squirrel" "+")
The dog is green.
("dog" "is" "green" "+")
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
The dog sees the squirrel.
("dog" "sees" "squirrel" "+")
The squirrel is green.
("squirrel" "is" "green" "+")
The squirrel is red.
("squirrel" "is" "red" "+")
If someone is nice and red then they see the dog.
((("someone" "is" "nice" "+") ("someone" "is" "red" "+")) -> ("someone" "sees" "dog" "+"))
If someone sees the squirrel then the squirrel is red.
((("someone" "sees" "squirrel" "+")) -> ("squirrel" "is" "red" "+"))
If someone needs the dog and they need the bald eagle then they like the bald eagle.
((("someone" "needs" "dog" "+") ("someone" "needs" "bald eagle" "+")) -> ("someone" "likes" "bald eagle" "+"))
If someone likes the cat then they need the bald eagle.
((("someone" "likes" "cat" "+")) -> ("someone" "needs" "bald eagle" "+"))
If someone sees the bald eagle then the bald eagle needs the dog.
((("someone" "sees" "bald eagle" "+")) -> ("bald eagle" "needs" "dog" "+"))
If someone needs the squirrel then they like the cat.
((("someone" "needs" "squirrel" "+")) -> ("someone" "likes" "cat" "+"))
The dog sees the bald eagle.
True
1
proof
[(triple7)]
("dog" "sees" "bald eagle" "+")
triple7
The cat does not need the dog.
False
1
inv-proof
[(triple4)]
("cat" "needs" "dog" "-")
triple4
The cat likes the cat.
True
2
proof
[(((triple5) -> rule6))]
("cat" "likes" "cat" "+")
((triple5) -> (rule6 % int1))
The cat likes the cat.
("cat" "likes" "cat" "+")
int1
The cat does not like the cat.
False
2
inv-proof
[(((triple5) -> rule6))]
("cat" "likes" "cat" "-")
((triple5) -> (rule6 % int1))
The cat likes the cat.
("cat" "likes" "cat" "+")
int1
The cat needs the bald eagle.
True
3
proof
[(((((triple5) -> rule6)) -> rule4))]
("cat" "needs" "bald eagle" "+")
((((triple5) -> (rule6 % int2))) -> (rule4 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The cat likes the cat.
("cat" "likes" "cat" "+")
int2
The cat does not need the bald eagle.
False
3
inv-proof
[(((((triple5) -> rule6)) -> rule4))]
("cat" "needs" "bald eagle" "-")
((((triple5) -> (rule6 % int2))) -> (rule4 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The cat likes the cat.
("cat" "likes" "cat" "+")
int2
The bald eagle likes the bald eagle.
True
6
proof
[(((((triple7) -> rule5) ((((triple2) -> rule6)) -> rule4)) -> rule3))]
("bald eagle" "likes" "bald eagle" "+")
((((triple7) -> (rule5 % int4)) ((((triple2) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The bald eagle does not like the bald eagle.
False
6
inv-proof
[(((((triple7) -> rule5) ((((triple2) -> rule6)) -> rule4)) -> rule3))]
("bald eagle" "likes" "bald eagle" "-")
((((triple7) -> (rule5 % int4)) ((((triple2) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The cat does not see the dog.
Unknown
inv-rconc
[@1: The cat sees the dog.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cat" "sees" "dog" "-")
The dog needs the bald eagle.
Unknown
rconc
[@2: The dog needs the bald eagle.[CWA. Example of deepest failure = (rule4 <- rule6 <- FAIL)]]
("dog" "needs" "bald eagle" "+")
The dog does not like the bald eagle.
Unknown
inv-rconc
[@1: The dog likes the bald eagle.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("dog" "likes" "bald eagle" "-")
The dog sees the dog.
Unknown
rconc
[@1: The dog sees the dog.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("dog" "sees" "dog" "+")
The dog does not need the dog.
Unknown
inv-random
[@0: The dog needs the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "dog" "-")
The dog needs the cat.
Unknown
random
[@0: The dog needs the cat.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "cat" "+")
The dog is not rough.
Unknown
inv-random
[@0: The dog is rough.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "rough" "-")
The bald eagle sees the cat.
Unknown
random
[@0: The bald eagle sees the cat.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "cat" "+")
@0: The bald eagle likes the dog.[(triple1)] The bald eagle needs the squirrel.[(triple2)] The cat is nice.[(triple3)] The cat needs the dog.[(triple4)] The cat needs the squirrel.[(triple5)] The dog is green.[(triple6)] The dog sees the bald eagle.[(triple7)] The dog sees the squirrel.[(triple8)] The squirrel is green.[(triple9)] The squirrel is red.[(triple10 OR ((triple8) -> rule2))] @1: The bald eagle likes the cat.[(((triple2) -> rule6))] The bald eagle needs the dog.[(((triple7) -> rule5))] The cat likes the cat.[(((triple5) -> rule6))] @2: The bald eagle needs the bald eagle.[(((((triple2) -> rule6)) -> rule4))] The cat needs the bald eagle.[(((((triple5) -> rule6)) -> rule4))] @3: The bald eagle likes the bald eagle.[(((((triple7) -> rule5) ((((triple2) -> rule6)) -> rule4)) -> rule3))] The cat likes the bald eagle.[(((triple4 ((((triple5) -> rule6)) -> rule4)) -> rule3))]
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
triple1
The bald eagle needs the squirrel.
("bald eagle" "needs" "squirrel" "+")
triple2
The cat is nice.
("cat" "is" "nice" "+")
triple3
The cat needs the dog.
("cat" "needs" "dog" "+")
triple4
The cat needs the squirrel.
("cat" "needs" "squirrel" "+")
triple5
The dog is green.
("dog" "is" "green" "+")
triple6
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
triple7
The dog sees the squirrel.
("dog" "sees" "squirrel" "+")
triple8
The squirrel is green.
("squirrel" "is" "green" "+")
triple9
The squirrel is red.
("squirrel" "is" "red" "+")
triple10
((triple8) -> (rule2 % int1))
The squirrel is red.
("squirrel" "is" "red" "+")
int1
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
((triple2) -> (rule6 % int1))
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
int1
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
((triple7) -> (rule5 % int1))
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int1
The cat likes the cat.
("cat" "likes" "cat" "+")
((triple5) -> (rule6 % int1))
The cat likes the cat.
("cat" "likes" "cat" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
((((triple2) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
int2
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
((((triple5) -> (rule6 % int2))) -> (rule4 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The cat likes the cat.
("cat" "likes" "cat" "+")
int2
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
((((triple7) -> (rule5 % int4)) ((((triple2) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle likes the cat.
("bald eagle" "likes" "cat" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The cat likes the bald eagle.
("cat" "likes" "bald eagle" "+")
((triple4 ((((triple5) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule3 % int1))
The cat likes the bald eagle.
("cat" "likes" "bald eagle" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int2
The cat likes the cat.
("cat" "likes" "cat" "+")
int3