The bald eagle visits the cat. The bear needs the bald eagle. The cat sees the bald eagle. The dog visits the bald eagle. If someone visits the cat then they need the bear. If someone is rough then they need the bald eagle. If someone needs the bald eagle then they visit the bear. If the dog visits the bald eagle then the dog is rough. If the dog is green then the dog does not see the bear. If the bald eagle needs the dog then the bald eagle sees the bear.
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
If someone visits the cat then they need the bear.
((("someone" "visits" "cat" "+")) -> ("someone" "needs" "bear" "+"))
If someone is rough then they need the bald eagle.
((("someone" "is" "rough" "+")) -> ("someone" "needs" "bald eagle" "+"))
If someone needs the bald eagle then they visit the bear.
((("someone" "needs" "bald eagle" "+")) -> ("someone" "visits" "bear" "+"))
If the dog visits the bald eagle then the dog is rough.
((("dog" "visits" "bald eagle" "+")) -> ("dog" "is" "rough" "+"))
If the dog is green then the dog does not see the bear.
((("dog" "is" "green" "+")) -> ("dog" "sees" "bear" "-"))
If the bald eagle needs the dog then the bald eagle sees the bear.
((("bald eagle" "needs" "dog" "+")) -> ("bald eagle" "sees" "bear" "+"))
The bear needs the bald eagle.
True
1
proof
[(triple2)]
("bear" "needs" "bald eagle" "+")
triple2
The bald eagle does not visit the cat.
False
1
inv-proof
[(triple1)]
("bald eagle" "visits" "cat" "-")
triple1
The dog is rough.
True
2
proof
[(((triple4) -> rule4))]
("dog" "is" "rough" "+")
((triple4) -> (rule4 % int1))
The dog is rough.
("dog" "is" "rough" "+")
int1
The dog is not rough.
False
2
inv-proof
[(((triple4) -> rule4))]
("dog" "is" "rough" "-")
((triple4) -> (rule4 % int1))
The dog is rough.
("dog" "is" "rough" "+")
int1
The dog needs the bald eagle.
True
3
proof
[(((((triple4) -> rule4)) -> rule2))]
("dog" "needs" "bald eagle" "+")
((((triple4) -> (rule4 % int2))) -> (rule2 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
int2
The dog does not need the bald eagle.
False
3
inv-proof
[(((((triple4) -> rule4)) -> rule2))]
("dog" "needs" "bald eagle" "-")
((((triple4) -> (rule4 % int2))) -> (rule2 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
int2
The dog visits the bear.
True
4
proof
[(((((((triple4) -> rule4)) -> rule2)) -> rule3))]
("dog" "visits" "bear" "+")
((((((triple4) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule3 % int1))
The dog visits the bear.
("dog" "visits" "bear" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The dog is rough.
("dog" "is" "rough" "+")
int3
The dog does not visit the bear.
False
4
inv-proof
[(((((((triple4) -> rule4)) -> rule2)) -> rule3))]
("dog" "visits" "bear" "-")
((((((triple4) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule3 % int1))
The dog visits the bear.
("dog" "visits" "bear" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The dog is rough.
("dog" "is" "rough" "+")
int3
The bald eagle does not need the bald eagle.
Unknown
inv-rconc
[@1: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("bald eagle" "needs" "bald eagle" "-")
The cat needs the bald eagle.
Unknown
rconc
[@1: The cat needs the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("cat" "needs" "bald eagle" "+")
The dog does not need the bear.
Unknown
inv-rconc
[@1: The dog needs the bear.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("dog" "needs" "bear" "-")
The cat needs the bear.
Unknown
rconc
[@1: The cat needs the bear.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cat" "needs" "bear" "+")
The bear does not visit the dog.
Unknown
inv-random
[@0: The bear visits the dog.[CWA. Example of deepest failure = (FAIL)]]
("bear" "visits" "dog" "-")
The dog needs the cat.
Unknown
random
[@0: The dog needs the cat.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "cat" "+")
The bear is not young.
Unknown
inv-random
[@0: The bear is young.[CWA. Example of deepest failure = (FAIL)]]
("bear" "is" "young" "-")
The cat visits the cat.
Unknown
random
[@0: The cat visits the cat.[CWA. Example of deepest failure = (FAIL)]]
("cat" "visits" "cat" "+")
@0: The bald eagle visits the cat.[(triple1)] The bear needs the bald eagle.[(triple2)] The cat sees the bald eagle.[(triple3)] The dog visits the bald eagle.[(triple4)] @1: The bald eagle needs the bear.[(((triple1) -> rule1))] The bear visits the bear.[(((triple2) -> rule3))] The dog is rough.[(((triple4) -> rule4))] @2: The dog needs the bald eagle.[(((((triple4) -> rule4)) -> rule2))] @3: The dog visits the bear.[(((((((triple4) -> rule4)) -> rule2)) -> rule3))]
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
triple1
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
triple2
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
triple3
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
triple4
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
((triple1) -> (rule1 % int1))
The bald eagle needs the bear.
("bald eagle" "needs" "bear" "+")
int1
The bear visits the bear.
("bear" "visits" "bear" "+")
((triple2) -> (rule3 % int1))
The bear visits the bear.
("bear" "visits" "bear" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
((triple4) -> (rule4 % int1))
The dog is rough.
("dog" "is" "rough" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
((((triple4) -> (rule4 % int2))) -> (rule2 % int1))
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int1
The dog is rough.
("dog" "is" "rough" "+")
int2
The dog visits the bear.
("dog" "visits" "bear" "+")
((((((triple4) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule3 % int1))
The dog visits the bear.
("dog" "visits" "bear" "+")
int1
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
int2
The dog is rough.
("dog" "is" "rough" "+")
int3