The bald eagle needs the dog. The dog is green. If someone needs the bald eagle then the bald eagle visits the dog. If someone visits the bald eagle and they see the bald eagle then the bald eagle does not need the dog. If the dog is green then the dog needs the bald eagle. If someone visits the dog then the dog needs the bald eagle. If someone needs the dog then they do not see the bald eagle. If someone visits the dog and the dog needs the bald eagle then they are not rough.
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
The dog is green.
("dog" "is" "green" "+")
If someone needs the bald eagle then the bald eagle visits the dog.
((("someone" "needs" "bald eagle" "+")) -> ("bald eagle" "visits" "dog" "+"))
If someone visits the bald eagle and they see the bald eagle then the bald eagle does not need the dog.
((("someone" "visits" "bald eagle" "+") ("someone" "sees" "bald eagle" "+")) -> ("bald eagle" "needs" "dog" "-"))
If the dog is green then the dog needs the bald eagle.
((("dog" "is" "green" "+")) -> ("dog" "needs" "bald eagle" "+"))
If someone visits the dog then the dog needs the bald eagle.
((("someone" "visits" "dog" "+")) -> ("dog" "needs" "bald eagle" "+"))
If someone needs the dog then they do not see the bald eagle.
((("someone" "needs" "dog" "+")) -> ("someone" "sees" "bald eagle" "-"))
If someone visits the dog and the dog needs the bald eagle then they are not rough.
((("someone" "visits" "dog" "+") ("dog" "needs" "bald eagle" "+")) -> ("someone" "is" "rough" "-"))
The bald eagle needs the dog.
True
1
proof
[(triple1)]
("bald eagle" "needs" "dog" "+")
triple1
The bald eagle does not need the dog.
False
1
inv-proof
[(triple1)]
("bald eagle" "needs" "dog" "-")
triple1
The bald eagle does not see the bald eagle.
True
2
proof
[(((triple1) -> rule5))]
("bald eagle" "sees" "bald eagle" "-")
((triple1) -> (rule5 % int1))
The bald eagle does not see the bald eagle.
("bald eagle" "sees" "bald eagle" "-")
int1
The bald eagle sees the bald eagle.
False
2
inv-proof
[(((triple1) -> rule5))]
("bald eagle" "sees" "bald eagle" "+")
((triple1) -> (rule5 % int1))
The bald eagle does not see the bald eagle.
("bald eagle" "sees" "bald eagle" "-")
int1
The bald eagle visits the dog.
True
3
proof
[(((((triple2) -> rule3)) -> rule1))]
("bald eagle" "visits" "dog" "+")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The bald eagle does not visit the dog.
False
3
inv-proof
[(((((triple2) -> rule3)) -> rule1))]
("bald eagle" "visits" "dog" "-")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The bald eagle is not rough.
True
6
proof
[(((((((triple2) -> rule3)) -> rule1) ((triple2) -> rule3)) -> rule6))]
("bald eagle" "is" "rough" "-")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2)) ((triple2) -> (rule3 % int3))) -> (rule6 % int1))
The bald eagle is not rough.
("bald eagle" "is" "rough" "-")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int3
The bald eagle is rough.
False
6
inv-proof
[(((((((triple2) -> rule3)) -> rule1) ((triple2) -> rule3)) -> rule6))]
("bald eagle" "is" "rough" "+")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2)) ((triple2) -> (rule3 % int3))) -> (rule6 % int1))
The bald eagle is not rough.
("bald eagle" "is" "rough" "-")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int3
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 bald eagle sees the dog.
Unknown
random
[@0: The bald eagle sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "dog" "+")
The dog does not see the bald eagle.
Unknown
inv-random
[@0: The dog sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("dog" "sees" "bald eagle" "-")
The dog visits the bald eagle.
Unknown
random
[@0: The dog visits the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "bald eagle" "+")
The bald eagle is not blue.
Unknown
inv-random
[@0: The bald eagle is blue.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "blue" "-")
The dog needs the dog.
Unknown
random
[@0: The dog needs the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "dog" "+")
The dog is not blue.
Unknown
inv-random
[@0: The dog is blue.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "blue" "-")
The bald eagle visits the bald eagle.
Unknown
random
[@0: The bald eagle visits the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "bald eagle" "+")
@0: The bald eagle needs the dog.[(triple1)] The dog is green.[(triple2)] @1: The bald eagle does not see the bald eagle.[(((triple1) -> rule5))] The dog needs the bald eagle.[(((triple2) -> rule3))] @2: The bald eagle visits the dog.[(((((triple2) -> rule3)) -> rule1))] @3: The bald eagle is not rough.[(((((((triple2) -> rule3)) -> rule1) ((triple2) -> rule3)) -> rule6))]
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
triple1
The dog is green.
("dog" "is" "green" "+")
triple2
The bald eagle does not see the bald eagle.
("bald eagle" "sees" "bald eagle" "-")
((triple1) -> (rule5 % int1))
The bald eagle does not see the bald eagle.
("bald eagle" "sees" "bald eagle" "-")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
((triple2) -> (rule3 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The bald eagle is not rough.
("bald eagle" "is" "rough" "-")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2)) ((triple2) -> (rule3 % int3))) -> (rule6 % int1))
The bald eagle is not rough.
("bald eagle" "is" "rough" "-")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int3