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