The bald eagle visits the tiger. The cat likes the lion. The lion likes the bald eagle. The tiger needs the lion. If something visits the lion then the lion likes the tiger. If something visits the tiger then the tiger needs the cat. If the bald eagle needs the lion then the bald eagle likes the lion. If something likes the lion and it needs the tiger then the tiger is not young. If something likes the lion then the lion is cold. If something needs the cat then it visits the lion.
The bald eagle visits the tiger.
("bald eagle" "visits" "tiger" "+")
The cat likes the lion.
("cat" "likes" "lion" "+")
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
The tiger needs the lion.
("tiger" "needs" "lion" "+")
If something visits the lion then the lion likes the tiger.
((("something" "visits" "lion" "+")) -> ("lion" "likes" "tiger" "+"))
If something visits the tiger then the tiger needs the cat.
((("something" "visits" "tiger" "+")) -> ("tiger" "needs" "cat" "+"))
If the bald eagle needs the lion then the bald eagle likes the lion.
((("bald eagle" "needs" "lion" "+")) -> ("bald eagle" "likes" "lion" "+"))
If something likes the lion and it needs the tiger then the tiger is not young.
((("something" "likes" "lion" "+") ("something" "needs" "tiger" "+")) -> ("tiger" "is" "young" "-"))
If something likes the lion then the lion is cold.
((("something" "likes" "lion" "+")) -> ("lion" "is" "cold" "+"))
If something needs the cat then it visits the lion.
((("something" "needs" "cat" "+")) -> ("something" "visits" "lion" "+"))
The bald eagle visits the tiger.
True
1
proof
[(triple1)]
("bald eagle" "visits" "tiger" "+")
triple1
The lion does not like the bald eagle.
False
1
inv-proof
[(triple3)]
("lion" "likes" "bald eagle" "-")
triple3
The tiger needs the cat.
True
2
proof
[(((triple1) -> rule2))]
("tiger" "needs" "cat" "+")
((triple1) -> (rule2 % int1))
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int1
The tiger does not need the cat.
False
2
inv-proof
[(((triple1) -> rule2))]
("tiger" "needs" "cat" "-")
((triple1) -> (rule2 % int1))
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int1
The tiger visits the lion.
True
3
proof
[(((((triple1) -> rule2)) -> rule6))]
("tiger" "visits" "lion" "+")
((((triple1) -> (rule2 % int2))) -> (rule6 % int1))
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int1
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int2
The tiger does not visit the lion.
False
3
inv-proof
[(((((triple1) -> rule2)) -> rule6))]
("tiger" "visits" "lion" "-")
((((triple1) -> (rule2 % int2))) -> (rule6 % int1))
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int1
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int2
The lion likes the tiger.
True
4
proof
[(((((((triple1) -> rule2)) -> rule6)) -> rule1))]
("lion" "likes" "tiger" "+")
((((((triple1) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The lion likes the tiger.
("lion" "likes" "tiger" "+")
int1
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int2
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int3
The lion does not like the tiger.
False
4
inv-proof
[(((((((triple1) -> rule2)) -> rule6)) -> rule1))]
("lion" "likes" "tiger" "-")
((((((triple1) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The lion likes the tiger.
("lion" "likes" "tiger" "+")
int1
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int2
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int3
The cat does not visit the lion.
Unknown
inv-rconc
[@1: The cat visits the lion.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("cat" "visits" "lion" "-")
The bald eagle likes the lion.
Unknown
rconc
[@1: The bald eagle likes the lion.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("bald eagle" "likes" "lion" "+")
The lion does not visit the lion.
Unknown
inv-rconc
[@1: The lion visits the lion.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("lion" "visits" "lion" "-")
The bald eagle visits the lion.
Unknown
rconc
[@1: The bald eagle visits the lion.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("bald eagle" "visits" "lion" "+")
The tiger does not need the bald eagle.
Unknown
inv-random
[@0: The tiger needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "needs" "bald eagle" "-")
The tiger likes the lion.
Unknown
random
[@0: The tiger likes the lion.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "likes" "lion" "+")
The bald eagle does not like the bald eagle.
Unknown
inv-random
[@0: The bald eagle likes the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "likes" "bald eagle" "-")
The lion needs the lion.
Unknown
random
[@0: The lion needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "needs" "lion" "+")
@0: The bald eagle visits the tiger.[(triple1)] The cat likes the lion.[(triple2)] The lion likes the bald eagle.[(triple3)] The tiger needs the lion.[(triple4)] @1: The lion is cold.[(((triple2) -> rule5))] The tiger needs the cat.[(((triple1) -> rule2))] @2: The tiger visits the lion.[(((((triple1) -> rule2)) -> rule6))] @3: The lion likes the tiger.[(((((((triple1) -> rule2)) -> rule6)) -> rule1))]
The bald eagle visits the tiger.
("bald eagle" "visits" "tiger" "+")
triple1
The cat likes the lion.
("cat" "likes" "lion" "+")
triple2
The lion likes the bald eagle.
("lion" "likes" "bald eagle" "+")
triple3
The tiger needs the lion.
("tiger" "needs" "lion" "+")
triple4
The lion is cold.
("lion" "is" "cold" "+")
((triple2) -> (rule5 % int1))
The lion is cold.
("lion" "is" "cold" "+")
int1
The tiger needs the cat.
("tiger" "needs" "cat" "+")
((triple1) -> (rule2 % int1))
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int1
The tiger visits the lion.
("tiger" "visits" "lion" "+")
((((triple1) -> (rule2 % int2))) -> (rule6 % int1))
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int1
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int2
The lion likes the tiger.
("lion" "likes" "tiger" "+")
((((((triple1) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The lion likes the tiger.
("lion" "likes" "tiger" "+")
int1
The tiger visits the lion.
("tiger" "visits" "lion" "+")
int2
The tiger needs the cat.
("tiger" "needs" "cat" "+")
int3