The bald eagle is rough. The bald eagle needs the cow. The bald eagle visits the cat. The cat eats the bald eagle. The cat needs the bald eagle. The cat visits the bald eagle. The cow eats the cat. The cow is kind. The cow is young. The cow needs the dog. The dog eats the bald eagle. The dog is kind. The dog needs the cat. The dog needs the cow. The dog visits the cow. If something needs the dog then it is nice. If the cow is round then the cow eats the cat. If something is round and it eats the dog then the dog needs the cow. If something is rough then it visits the dog. If something needs the bald eagle then it needs the cat. If something eats the cow and it is nice then it is round. If something needs the cow then it is rough. If something needs the cow then it needs the bald eagle.
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
The cow eats the cat.
("cow" "eats" "cat" "+")
The cow is kind.
("cow" "is" "kind" "+")
The cow is young.
("cow" "is" "young" "+")
The cow needs the dog.
("cow" "needs" "dog" "+")
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
The dog is kind.
("dog" "is" "kind" "+")
The dog needs the cat.
("dog" "needs" "cat" "+")
The dog needs the cow.
("dog" "needs" "cow" "+")
The dog visits the cow.
("dog" "visits" "cow" "+")
If something needs the dog then it is nice.
((("something" "needs" "dog" "+")) -> ("something" "is" "nice" "+"))
If the cow is round then the cow eats the cat.
((("cow" "is" "round" "+")) -> ("cow" "eats" "cat" "+"))
If something is round and it eats the dog then the dog needs the cow.
((("something" "is" "round" "+") ("something" "eats" "dog" "+")) -> ("dog" "needs" "cow" "+"))
If something is rough then it visits the dog.
((("something" "is" "rough" "+")) -> ("something" "visits" "dog" "+"))
If something needs the bald eagle then it needs the cat.
((("something" "needs" "bald eagle" "+")) -> ("something" "needs" "cat" "+"))
If something eats the cow and it is nice then it is round.
((("something" "eats" "cow" "+") ("something" "is" "nice" "+")) -> ("something" "is" "round" "+"))
If something needs the cow then it is rough.
((("something" "needs" "cow" "+")) -> ("something" "is" "rough" "+"))
If something needs the cow then it needs the bald eagle.
((("something" "needs" "cow" "+")) -> ("something" "needs" "bald eagle" "+"))
The bald eagle is rough.
True
1
proof
[(triple1 OR ((triple2) -> rule7))]
("bald eagle" "is" "rough" "+")
triple1
((triple2) -> (rule7 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat does not eat the bald eagle.
False
1
inv-proof
[(triple4)]
("cat" "eats" "bald eagle" "-")
triple4
The cat needs the cat.
True
2
proof
[(((triple5) -> rule5))]
("cat" "needs" "cat" "+")
((triple5) -> (rule5 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The bald eagle does not visit the dog.
False
2
inv-proof
[(((triple1) -> rule4) OR ((((triple2) -> rule7)) -> rule4))]
("bald eagle" "visits" "dog" "-")
((triple1) -> (rule4 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
((((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
The bald eagle needs the cat.
True
3
proof
[(((((triple2) -> rule8)) -> rule5))]
("bald eagle" "needs" "cat" "+")
((((triple2) -> (rule8 % int2))) -> (rule5 % int1))
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The dog does not visit the dog.
False
3
inv-proof
[(((((triple14) -> rule7)) -> rule4))]
("dog" "visits" "dog" "-")
((((triple14) -> (rule7 % int2))) -> (rule4 % int1))
The dog visits the dog.
("dog" "visits" "dog" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
int2
The cow does not need the cat.
Unknown
inv-rconc
[@2: The cow needs the cat.[CWA. Example of deepest failure = (rule5 <- rule8 <- FAIL)]]
("cow" "needs" "cat" "-")
The cow visits the dog.
Unknown
rconc
[@2: The cow visits the dog.[CWA. Example of deepest failure = (rule4 <- rule7 <- FAIL)]]
("cow" "visits" "dog" "+")
The bald eagle is not nice.
Unknown
inv-rconc
[@1: The bald eagle is nice.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("bald eagle" "is" "nice" "-")
The cow eats the dog.
Unknown
random
[@0: The cow eats the dog.[CWA. Example of deepest failure = (FAIL)]]
("cow" "eats" "dog" "+")
The bald eagle does not visit the cow.
Unknown
inv-random
[@0: The bald eagle visits the cow.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "cow" "-")
The cat visits the cow.
Unknown
random
[@0: The cat visits the cow.[CWA. Example of deepest failure = (FAIL)]]
("cat" "visits" "cow" "+")
@0: The bald eagle is rough.[(triple1 OR ((triple2) -> rule7))] The bald eagle needs the cow.[(triple2)] The bald eagle visits the cat.[(triple3)] The cat eats the bald eagle.[(triple4)] The cat needs the bald eagle.[(triple5)] The cat visits the bald eagle.[(triple6)] The cow eats the cat.[(triple7)] The cow is kind.[(triple8)] The cow is young.[(triple9)] The cow needs the dog.[(triple10)] The dog eats the bald eagle.[(triple11)] The dog is kind.[(triple12)] The dog needs the cat.[(triple13 OR ((((triple14) -> rule8)) -> rule5))] The dog needs the cow.[(triple14)] The dog visits the cow.[(triple15)] @1: The bald eagle needs the bald eagle.[(((triple2) -> rule8))] The bald eagle visits the dog.[(((triple1) -> rule4) OR ((((triple2) -> rule7)) -> rule4))] The cat needs the cat.[(((triple5) -> rule5))] The cow is nice.[(((triple10) -> rule1))] The dog is rough.[(((triple14) -> rule7))] The dog needs the bald eagle.[(((triple14) -> rule8))] @2: The bald eagle needs the cat.[(((((triple2) -> rule8)) -> rule5))] The dog visits the dog.[(((((triple14) -> rule7)) -> rule4))]
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
triple1
((triple2) -> (rule7 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
triple2
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
triple3
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
triple4
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
triple5
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
triple6
The cow eats the cat.
("cow" "eats" "cat" "+")
triple7
The cow is kind.
("cow" "is" "kind" "+")
triple8
The cow is young.
("cow" "is" "young" "+")
triple9
The cow needs the dog.
("cow" "needs" "dog" "+")
triple10
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
triple11
The dog is kind.
("dog" "is" "kind" "+")
triple12
The dog needs the cat.
("dog" "needs" "cat" "+")
triple13
((((triple14) -> (rule8 % int2))) -> (rule5 % int1))
The dog needs the cat.
("dog" "needs" "cat" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The dog needs the cow.
("dog" "needs" "cow" "+")
triple14
The dog visits the cow.
("dog" "visits" "cow" "+")
triple15
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
((triple2) -> (rule8 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
((triple1) -> (rule4 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
((((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
The cat needs the cat.
("cat" "needs" "cat" "+")
((triple5) -> (rule5 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
((triple10) -> (rule1 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
((triple14) -> (rule7 % int1))
The dog is rough.
("dog" "is" "rough" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
((triple14) -> (rule8 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
((((triple2) -> (rule8 % int2))) -> (rule5 % int1))
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The dog visits the dog.
("dog" "visits" "dog" "+")
((((triple14) -> (rule7 % int2))) -> (rule4 % int1))
The dog visits the dog.
("dog" "visits" "dog" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
int2