The bald eagle is blue. The bald eagle needs the dog. The bald eagle sees the dog. The bald eagle visits the dog. The dog is kind. The dog sees the bald eagle. The dog does not visit the bald eagle. If the bald eagle is kind and the bald eagle visits the dog then the bald eagle needs the dog. If the dog visits the bald eagle then the bald eagle needs the dog. If something needs the bald eagle then it visits the bald eagle. If something sees the dog then it needs the bald eagle. If something is big and it sees the dog then it needs the dog. If something visits the dog and it is not big then the dog needs the bald eagle. If something visits the bald eagle then it sees the bald eagle. If something sees the dog and the dog does not need the bald eagle then the dog sees the bald eagle.
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
The dog is kind.
("dog" "is" "kind" "+")
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
The dog does not visit the bald eagle.
("dog" "visits" "bald eagle" "-")
If the bald eagle is kind and the bald eagle visits the dog then the bald eagle needs the dog.
((("bald eagle" "is" "kind" "+") ("bald eagle" "visits" "dog" "+")) -> ("bald eagle" "needs" "dog" "+"))
If the dog visits the bald eagle then the bald eagle needs the dog.
((("dog" "visits" "bald eagle" "+")) -> ("bald eagle" "needs" "dog" "+"))
If something needs the bald eagle then it visits the bald eagle.
((("something" "needs" "bald eagle" "+")) -> ("something" "visits" "bald eagle" "+"))
If something sees the dog then it needs the bald eagle.
((("something" "sees" "dog" "+")) -> ("something" "needs" "bald eagle" "+"))
If something is big and it sees the dog then it needs the dog.
((("something" "is" "big" "+") ("something" "sees" "dog" "+")) -> ("something" "needs" "dog" "+"))
If something visits the dog and it is not big then the dog needs the bald eagle.
((("something" "visits" "dog" "+") ("something" "is" "big" "~")) -> ("dog" "needs" "bald eagle" "+"))
If something visits the bald eagle then it sees the bald eagle.
((("something" "visits" "bald eagle" "+")) -> ("something" "sees" "bald eagle" "+"))
If something sees the dog and the dog does not need the bald eagle then the dog sees the bald eagle.
((("something" "sees" "dog" "+") ("dog" "needs" "bald eagle" "~")) -> ("dog" "sees" "bald eagle" "+"))
The bald eagle visits the dog.
True
1
proof
[(triple4)]
("bald eagle" "visits" "dog" "+")
triple4
The dog is not kind.
False
1
inv-proof
[(triple5)]
("dog" "is" "kind" "-")
triple5
The bald eagle needs the bald eagle.
True
2
proof
[(((triple3) -> rule4))]
("bald eagle" "needs" "bald eagle" "+")
((triple3) -> (rule4 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The bald eagle does not need the bald eagle.
False
2
inv-proof
[(((triple3) -> rule4))]
("bald eagle" "needs" "bald eagle" "-")
((triple3) -> (rule4 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The bald eagle visits the bald eagle.
True
3
proof
[(((((triple3) -> rule4)) -> rule3))]
("bald eagle" "visits" "bald eagle" "+")
((((triple3) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle does not visit the bald eagle.
False
3
inv-proof
[(((((triple3) -> rule4)) -> rule3))]
("bald eagle" "visits" "bald eagle" "-")
((((triple3) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle sees the bald eagle.
True
4
proof
[(((((((triple3) -> rule4)) -> rule3)) -> rule7))]
("bald eagle" "sees" "bald eagle" "+")
((((((triple3) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int3
The bald eagle does not see the bald eagle.
False
4
inv-proof
[(((((((triple3) -> rule4)) -> rule3)) -> rule7))]
("bald eagle" "sees" "bald eagle" "-")
((((((triple3) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int3
The dog does not need the dog.
Unknown
inv-rconc
[@1: The dog needs the dog.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("dog" "needs" "dog" "-")
The dog needs the bald eagle.
Unknown
rconc
[@1: The dog needs the bald eagle.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("dog" "needs" "bald eagle" "+")
The bald eagle is not round.
Unknown
inv-random
[@0: The bald eagle is round.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "round" "-")
The dog is red.
Unknown
random
[@0: The dog is red.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "red" "+")
The dog does not visit the dog.
Unknown
inv-random
[@0: The dog visits the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "dog" "-")
The dog is round.
Unknown
random
[@0: The dog is round.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "round" "+")
The dog does not see the dog.
Unknown
inv-random
[@0: The dog sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "sees" "dog" "-")
The dog is blue.
Unknown
random
[@0: The dog is blue.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "blue" "+")
@0: The bald eagle is blue.[(triple1)] The bald eagle needs the dog.[(triple2)] The bald eagle sees the dog.[(triple3)] The bald eagle visits the dog.[(triple4)] The dog does not visit the bald eagle.[(triple7)] The dog is kind.[(triple5)] The dog sees the bald eagle.[(triple6)] @1: The bald eagle needs the bald eagle.[(((triple3) -> rule4))] @2: The bald eagle visits the bald eagle.[(((((triple3) -> rule4)) -> rule3))] @3: The bald eagle sees the bald eagle.[(((((((triple3) -> rule4)) -> rule3)) -> rule7))]
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple1
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
triple2
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
triple3
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
triple4
The dog does not visit the bald eagle.
("dog" "visits" "bald eagle" "-")
triple7
The dog is kind.
("dog" "is" "kind" "+")
triple5
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
triple6
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
((triple3) -> (rule4 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
((((triple3) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
((((((triple3) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int3