The bald eagle eats the lion. The dog is kind. The lion is kind. If someone is kind then they like the bald eagle. If someone likes the bald eagle then the bald eagle is kind. If someone likes the bald eagle and the bald eagle eats the lion then the bald eagle likes the lion.
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
The dog is kind.
("dog" "is" "kind" "+")
The lion is kind.
("lion" "is" "kind" "+")
If someone is kind then they like the bald eagle.
((("someone" "is" "kind" "+")) -> ("someone" "likes" "bald eagle" "+"))
If someone likes the bald eagle then the bald eagle is kind.
((("someone" "likes" "bald eagle" "+")) -> ("bald eagle" "is" "kind" "+"))
If someone likes the bald eagle and the bald eagle eats the lion then the bald eagle likes the lion.
((("someone" "likes" "bald eagle" "+") ("bald eagle" "eats" "lion" "+")) -> ("bald eagle" "likes" "lion" "+"))
The bald eagle eats the lion.
True
1
proof
[(triple1)]
("bald eagle" "eats" "lion" "+")
triple1
The bald eagle does not eat the lion.
False
1
inv-proof
[(triple1)]
("bald eagle" "eats" "lion" "-")
triple1
The lion likes the bald eagle.
True
2
proof
[(((triple3) -> rule1))]
("lion" "likes" "bald eagle" "+")
((triple3) -> (rule1 % int1))
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int1
The dog does not like the bald eagle.
False
2
inv-proof
[(((triple2) -> rule1))]
("dog" "likes" "bald eagle" "-")
((triple2) -> (rule1 % int1))
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int1
The bald eagle is kind.
True
3
proof
[(((((triple2) -> rule1)) -> rule2) OR ((((triple3) -> rule1)) -> rule2))]
("bald eagle" "is" "kind" "+")
((((triple2) -> (rule1 % int2))) -> (rule2 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int2
((((triple3) -> (rule1 % int2))) -> (rule2 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int2
The bald eagle does not like the lion.
False
4
inv-proof
[(((((triple2) -> rule1) triple1) -> rule3) OR ((((triple3) -> rule1) triple1) -> rule3) OR ((((((((triple2) -> rule1)) -> rule2)) -> rule1) triple1) -> rule3) OR ((((((((triple3) -> rule1)) -> rule2)) -> rule1) triple1) -> rule3))]
("bald eagle" "likes" "lion" "-")
((((triple2) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int2
((((triple3) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int2
((((((((triple2) -> (rule1 % int4))) -> (rule2 % int3))) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int3
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int4
((((((((triple3) -> (rule1 % int4))) -> (rule2 % int3))) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int3
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int4
The lion does not chase the bald eagle.
Unknown
inv-random
[@0: The lion chases the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("lion" "chases" "bald eagle" "-")
The lion chases the lion.
Unknown
random
[@0: The lion chases the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "chases" "lion" "+")
The dog does not eat the lion.
Unknown
inv-random
[@0: The dog eats the lion.[CWA. Example of deepest failure = (FAIL)]]
("dog" "eats" "lion" "-")
The lion chases the dog.
Unknown
random
[@0: The lion chases the dog.[CWA. Example of deepest failure = (FAIL)]]
("lion" "chases" "dog" "+")
The bald eagle is not rough.
Unknown
inv-random
[@0: The bald eagle is rough.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "rough" "-")
The lion likes the lion.
Unknown
random
[@0: The lion likes the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "likes" "lion" "+")
@0: The bald eagle eats the lion.[(triple1)] The dog is kind.[(triple2)] The lion is kind.[(triple3)] @1: The dog likes the bald eagle.[(((triple2) -> rule1))] The lion likes the bald eagle.[(((triple3) -> rule1))] @2: The bald eagle is kind.[(((((triple2) -> rule1)) -> rule2) OR ((((triple3) -> rule1)) -> rule2))] The bald eagle likes the lion.[(((((triple2) -> rule1) triple1) -> rule3) OR ((((triple3) -> rule1) triple1) -> rule3) OR ((((((((triple2) -> rule1)) -> rule2)) -> rule1) triple1) -> rule3) OR ((((((((triple3) -> rule1)) -> rule2)) -> rule1) triple1) -> rule3))] @3: The bald eagle likes the bald eagle.[(((((((triple2) -> rule1)) -> rule2)) -> rule1) OR ((((((triple3) -> rule1)) -> rule2)) -> rule1))]
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
triple1
The dog is kind.
("dog" "is" "kind" "+")
triple2
The lion is kind.
("lion" "is" "kind" "+")
triple3
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
((triple2) -> (rule1 % int1))
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int1
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
((triple3) -> (rule1 % int1))
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
((((triple2) -> (rule1 % int2))) -> (rule2 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int2
((((triple3) -> (rule1 % int2))) -> (rule2 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int2
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
((((triple2) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int2
((((triple3) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int2
((((((((triple2) -> (rule1 % int4))) -> (rule2 % int3))) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int3
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int4
((((((((triple3) -> (rule1 % int4))) -> (rule2 % int3))) -> (rule1 % int2)) triple1) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int3
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int4
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
((((((triple2) -> (rule1 % int3))) -> (rule2 % int2))) -> (rule1 % int1))
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The dog likes the bald eagle.
("dog" "likes" "bald eagle" "+")
int3
((((((triple3) -> (rule1 % int3))) -> (rule2 % int2))) -> (rule1 % int1))
The bald eagle likes the bald eagle.
("bald eagle" "likes" "bald eagle" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
int3