The bald eagle is rough. The bald eagle needs the cat. The cat eats the bald eagle. If something eats the cat and the cat is cold then it needs the cat. If something is rough then it eats the cat. If the cat is kind and the cat eats the bald eagle then the cat needs the bald eagle. If something needs the bald eagle and the bald eagle is rough then it is rough. If something eats the cat then the cat needs the bald eagle. If something needs the cat and it likes the bald eagle then the cat likes the bald eagle.
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
If something eats the cat and the cat is cold then it needs the cat.
((("something" "eats" "cat" "+") ("cat" "is" "cold" "+")) -> ("something" "needs" "cat" "+"))
If something is rough then it eats the cat.
((("something" "is" "rough" "+")) -> ("something" "eats" "cat" "+"))
If the cat is kind and the cat eats the bald eagle then the cat needs the bald eagle.
((("cat" "is" "kind" "+") ("cat" "eats" "bald eagle" "+")) -> ("cat" "needs" "bald eagle" "+"))
If something needs the bald eagle and the bald eagle is rough then it is rough.
((("something" "needs" "bald eagle" "+") ("bald eagle" "is" "rough" "+")) -> ("something" "is" "rough" "+"))
If something eats the cat then the cat needs the bald eagle.
((("something" "eats" "cat" "+")) -> ("cat" "needs" "bald eagle" "+"))
If something needs the cat and it likes the bald eagle then the cat likes the bald eagle.
((("something" "needs" "cat" "+") ("something" "likes" "bald eagle" "+")) -> ("cat" "likes" "bald eagle" "+"))
The bald eagle is rough.
True
1
proof
[(triple1)]
("bald eagle" "is" "rough" "+")
triple1
The cat does not eat the bald eagle.
False
1
inv-proof
[(triple3)]
("cat" "eats" "bald eagle" "-")
triple3
The bald eagle eats the cat.
True
2
proof
[(((triple1) -> rule2))]
("bald eagle" "eats" "cat" "+")
((triple1) -> (rule2 % int1))
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int1
The bald eagle does not eat the cat.
False
2
inv-proof
[(((triple1) -> rule2))]
("bald eagle" "eats" "cat" "-")
((triple1) -> (rule2 % int1))
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int1
The cat needs the bald eagle.
True
3
proof
[(((((triple1) -> rule2)) -> rule5))]
("cat" "needs" "bald eagle" "+")
((((triple1) -> (rule2 % int2))) -> (rule5 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int2
The cat does not need the bald eagle.
False
3
inv-proof
[(((((triple1) -> rule2)) -> rule5))]
("cat" "needs" "bald eagle" "-")
((((triple1) -> (rule2 % int2))) -> (rule5 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int2
The cat does not need the cat.
Unknown
inv-rconc
[@1: The cat needs the cat.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cat" "needs" "cat" "-")
The cat likes the bald eagle.
Unknown
rconc
[@1: The cat likes the bald eagle.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("cat" "likes" "bald eagle" "+")
The cat is not kind.
Unknown
inv-random
[@0: The cat is kind.[CWA. Example of deepest failure = (FAIL)]]
("cat" "is" "kind" "-")
The bald eagle is nice.
Unknown
random
[@0: The bald eagle is nice.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "nice" "+")
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 eats the bald eagle.
Unknown
random
[@0: The bald eagle eats the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "eats" "bald eagle" "+")
@0: The bald eagle is rough.[(triple1)] The bald eagle needs the cat.[(triple2)] The cat eats the bald eagle.[(triple3)] @1: The bald eagle eats the cat.[(((triple1) -> rule2))] @2: The cat needs the bald eagle.[(((((triple1) -> rule2)) -> rule5))] @3: The cat is rough.[(((((((triple1) -> rule2)) -> rule5) triple1) -> rule4))] @4: The cat eats the cat.[(((((((((triple1) -> rule2)) -> rule5) triple1) -> rule4)) -> rule2))]
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
triple1
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
triple2
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
triple3
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
((triple1) -> (rule2 % int1))
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
((((triple1) -> (rule2 % int2))) -> (rule5 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int2
The cat is rough.
("cat" "is" "rough" "+")
((((((triple1) -> (rule2 % int3))) -> (rule5 % int2)) triple1) -> (rule4 % int1))
The cat is rough.
("cat" "is" "rough" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int2
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int3
The cat eats the cat.
("cat" "eats" "cat" "+")
((((((((triple1) -> (rule2 % int4))) -> (rule5 % int3)) triple1) -> (rule4 % int2))) -> (rule2 % int1))
The cat eats the cat.
("cat" "eats" "cat" "+")
int1
The cat is rough.
("cat" "is" "rough" "+")
int2
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int3
The bald eagle eats the cat.
("bald eagle" "eats" "cat" "+")
int4