The bald eagle visits the lion. The lion visits the bald eagle. If someone needs the lion then the lion is cold. If someone likes the lion then the lion is cold. If someone needs the bald eagle then the bald eagle likes the lion. If someone visits the lion then the lion needs the bald eagle. If someone likes the lion and they need the lion then the lion needs the bald eagle. If someone is cold then they like the lion. If the bald eagle is not green then the bald eagle is blue. If someone visits the lion and they are not red then they are cold.
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
If someone needs the lion then the lion is cold.
((("someone" "needs" "lion" "+")) -> ("lion" "is" "cold" "+"))
If someone likes the lion then the lion is cold.
((("someone" "likes" "lion" "+")) -> ("lion" "is" "cold" "+"))
If someone needs the bald eagle then the bald eagle likes the lion.
((("someone" "needs" "bald eagle" "+")) -> ("bald eagle" "likes" "lion" "+"))
If someone visits the lion then the lion needs the bald eagle.
((("someone" "visits" "lion" "+")) -> ("lion" "needs" "bald eagle" "+"))
If someone likes the lion and they need the lion then the lion needs the bald eagle.
((("someone" "likes" "lion" "+") ("someone" "needs" "lion" "+")) -> ("lion" "needs" "bald eagle" "+"))
If someone is cold then they like the lion.
((("someone" "is" "cold" "+")) -> ("someone" "likes" "lion" "+"))
If the bald eagle is not green then the bald eagle is blue.
((("bald eagle" "is" "green" "~")) -> ("bald eagle" "is" "blue" "+"))
If someone visits the lion and they are not red then they are cold.
((("someone" "visits" "lion" "+") ("someone" "is" "red" "~")) -> ("someone" "is" "cold" "+"))
The lion visits the bald eagle.
True
1
proof
[(triple2)]
("lion" "visits" "bald eagle" "+")
triple2
The lion does not visit the bald eagle.
False
1
inv-proof
[(triple2)]
("lion" "visits" "bald eagle" "-")
triple2
The lion needs the bald eagle.
True
2
proof
[(((triple1) -> rule4))]
("lion" "needs" "bald eagle" "+")
((triple1) -> (rule4 % int1))
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int1
The lion does not need the bald eagle.
False
2
inv-proof
[(((triple1) -> rule4))]
("lion" "needs" "bald eagle" "-")
((triple1) -> (rule4 % int1))
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int1
The bald eagle likes the lion.
True
3
proof
[(((((triple1) -> rule4)) -> rule3))]
("bald eagle" "likes" "lion" "+")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int2
The bald eagle does not like the lion.
False
3
inv-proof
[(((((triple1) -> rule4)) -> rule3))]
("bald eagle" "likes" "lion" "-")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int2
The lion is cold.
True
4
proof
[(((((((triple1) -> rule4)) -> rule3)) -> rule2))]
("lion" "is" "cold" "+")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The lion is cold.
("lion" "is" "cold" "+")
int1
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int2
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int3
The lion is not cold.
False
4
inv-proof
[(((((((triple1) -> rule4)) -> rule3)) -> rule2))]
("lion" "is" "cold" "-")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The lion is cold.
("lion" "is" "cold" "+")
int1
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int2
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int3
The bald eagle is not cold.
Unknown
inv-rconc
[@1: The bald eagle is cold.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("bald eagle" "is" "cold" "-")
The bald eagle is blue.
Unknown
rconc
[@1: The bald eagle is blue.[CWA. Example of deepest failure = (rule7 <- FAIL)]]
("bald eagle" "is" "blue" "+")
The lion is not blue.
Unknown
inv-random
[@0: The lion is blue.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "blue" "-")
The lion is red.
Unknown
random
[@0: The lion is red.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "red" "+")
The bald eagle does not visit the bald eagle.
Unknown
inv-random
[@0: The bald eagle visits the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "bald eagle" "-")
The lion is young.
Unknown
random
[@0: The lion is young.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "young" "+")
The bald eagle is not green.
Unknown
inv-random
[@0: The bald eagle is green.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "green" "-")
The lion is green.
Unknown
random
[@0: The lion is green.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "green" "+")
@0: The bald eagle visits the lion.[(triple1)] The lion visits the bald eagle.[(triple2)] @1: The lion needs the bald eagle.[(((triple1) -> rule4))] @2: The bald eagle likes the lion.[(((((triple1) -> rule4)) -> rule3))] @3: The lion is cold.[(((((((triple1) -> rule4)) -> rule3)) -> rule2))] @4: The lion likes the lion.[(((((((((triple1) -> rule4)) -> rule3)) -> rule2)) -> rule6))]
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
triple1
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
triple2
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
((triple1) -> (rule4 % int1))
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int1
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int2
The lion is cold.
("lion" "is" "cold" "+")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The lion is cold.
("lion" "is" "cold" "+")
int1
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int2
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int3
The lion likes the lion.
("lion" "likes" "lion" "+")
((((((((triple1) -> (rule4 % int4))) -> (rule3 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The lion likes the lion.
("lion" "likes" "lion" "+")
int1
The lion is cold.
("lion" "is" "cold" "+")
int2
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int3
The lion needs the bald eagle.
("lion" "needs" "bald eagle" "+")
int4