The bald eagle is red. The bald eagle likes the dog. The dog chases the lion. The dog likes the lion. The dog sees the bald eagle. The lion chases the dog. The lion is not kind. If the dog chases the bald eagle then the dog is red. If someone is red then they like the dog. If someone likes the dog then the dog chases the bald eagle.
The bald eagle is red.
("bald eagle" "is" "red" "+")
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
The dog chases the lion.
("dog" "chases" "lion" "+")
The dog likes the lion.
("dog" "likes" "lion" "+")
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
The lion chases the dog.
("lion" "chases" "dog" "+")
The lion is not kind.
("lion" "is" "kind" "-")
If the dog chases the bald eagle then the dog is red.
((("dog" "chases" "bald eagle" "+")) -> ("dog" "is" "red" "+"))
If someone is red then they like the dog.
((("someone" "is" "red" "+")) -> ("someone" "likes" "dog" "+"))
If someone likes the dog then the dog chases the bald eagle.
((("someone" "likes" "dog" "+")) -> ("dog" "chases" "bald eagle" "+"))
The dog chases the lion.
True
1
proof
[(triple3)]
("dog" "chases" "lion" "+")
triple3
The lion is kind.
False
1
inv-proof
[(triple7)]
("lion" "is" "kind" "+")
triple7
The dog chases the bald eagle.
True
2
proof
[(((triple2) -> rule3) OR ((((triple1) -> rule2)) -> rule3))]
("dog" "chases" "bald eagle" "+")
((triple2) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
((((triple1) -> (rule2 % int2))) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int2
The dog does not chase the bald eagle.
False
2
inv-proof
[(((triple2) -> rule3) OR ((((triple1) -> rule2)) -> rule3))]
("dog" "chases" "bald eagle" "-")
((triple2) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
((((triple1) -> (rule2 % int2))) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int2
The dog is red.
True
3
proof
[(((((triple2) -> rule3)) -> rule1) OR ((((((triple1) -> rule2)) -> rule3)) -> rule1))]
("dog" "is" "red" "+")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
((((((triple1) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int3
The dog is not red.
False
3
inv-proof
[(((((triple2) -> rule3)) -> rule1) OR ((((((triple1) -> rule2)) -> rule3)) -> rule1))]
("dog" "is" "red" "-")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
((((((triple1) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int3
The dog likes the dog.
True
4
proof
[(((((((triple2) -> rule3)) -> rule1)) -> rule2) OR ((((((((triple1) -> rule2)) -> rule3)) -> rule1)) -> rule2))]
("dog" "likes" "dog" "+")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
((((((((triple1) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int4
The dog does not like the dog.
False
4
inv-proof
[(((((((triple2) -> rule3)) -> rule1)) -> rule2) OR ((((((((triple1) -> rule2)) -> rule3)) -> rule1)) -> rule2))]
("dog" "likes" "dog" "-")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
((((((((triple1) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int4
The lion does not like the dog.
Unknown
inv-rconc
[@1: The lion likes the dog.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("lion" "likes" "dog" "-")
The bald eagle is big.
Unknown
random
[@0: The bald eagle is big.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "big" "+")
The bald eagle does not see the bald eagle.
Unknown
inv-random
[@0: The bald eagle sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "bald eagle" "-")
The dog sees the dog.
Unknown
random
[@0: The dog sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "sees" "dog" "+")
The bald eagle does not chase the bald eagle.
Unknown
inv-random
[@0: The bald eagle chases the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "chases" "bald eagle" "-")
The lion is big.
Unknown
random
[@0: The lion is big.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "big" "+")
The bald eagle is not kind.
Unknown
inv-random
[@0: The bald eagle is kind.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "kind" "-")
The bald eagle is rough.
Unknown
random
[@0: The bald eagle is rough.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "rough" "+")
@0: The bald eagle is red.[(triple1)] The bald eagle likes the dog.[(triple2 OR ((triple1) -> rule2))] The dog chases the lion.[(triple3)] The dog likes the lion.[(triple4)] The dog sees the bald eagle.[(triple5)] The lion chases the dog.[(triple6)] The lion is not kind.[(triple7)] @1: The dog chases the bald eagle.[(((triple2) -> rule3) OR ((((triple1) -> rule2)) -> rule3))] @2: The dog is red.[(((((triple2) -> rule3)) -> rule1) OR ((((((triple1) -> rule2)) -> rule3)) -> rule1))] @3: The dog likes the dog.[(((((((triple2) -> rule3)) -> rule1)) -> rule2) OR ((((((((triple1) -> rule2)) -> rule3)) -> rule1)) -> rule2))]
The bald eagle is red.
("bald eagle" "is" "red" "+")
triple1
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
triple2
((triple1) -> (rule2 % int1))
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int1
The dog chases the lion.
("dog" "chases" "lion" "+")
triple3
The dog likes the lion.
("dog" "likes" "lion" "+")
triple4
The dog sees the bald eagle.
("dog" "sees" "bald eagle" "+")
triple5
The lion chases the dog.
("lion" "chases" "dog" "+")
triple6
The lion is not kind.
("lion" "is" "kind" "-")
triple7
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
((triple2) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
((((triple1) -> (rule2 % int2))) -> (rule3 % int1))
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int1
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int2
The dog is red.
("dog" "is" "red" "+")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
((((((triple1) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The dog is red.
("dog" "is" "red" "+")
int1
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int2
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int3
The dog likes the dog.
("dog" "likes" "dog" "+")
((((((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
((((((((triple1) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule2 % int1))
The dog likes the dog.
("dog" "likes" "dog" "+")
int1
The dog is red.
("dog" "is" "red" "+")
int2
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
int3
The bald eagle likes the dog.
("bald eagle" "likes" "dog" "+")
int4