The bald eagle needs the dog. The bear needs the dog. The cat is red. The dog needs the bear. If someone needs the dog then they eat the bear. If someone is green and they see the cat then they need the dog. If someone needs the bear and they are round then the bear sees the cat. If someone needs the dog then the dog is green. If someone is red then they need the dog. If someone eats the bald eagle and they eat the dog then the dog sees the bald eagle. If someone sees the bear then they eat the bear. If someone sees the dog and the dog is round then the dog needs the bald eagle.
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
The bear needs the dog.
("bear" "needs" "dog" "+")
The cat is red.
("cat" "is" "red" "+")
The dog needs the bear.
("dog" "needs" "bear" "+")
If someone needs the dog then they eat the bear.
((("someone" "needs" "dog" "+")) -> ("someone" "eats" "bear" "+"))
If someone is green and they see the cat then they need the dog.
((("someone" "is" "green" "+") ("someone" "sees" "cat" "+")) -> ("someone" "needs" "dog" "+"))
If someone needs the bear and they are round then the bear sees the cat.
((("someone" "needs" "bear" "+") ("someone" "is" "round" "+")) -> ("bear" "sees" "cat" "+"))
If someone needs the dog then the dog is green.
((("someone" "needs" "dog" "+")) -> ("dog" "is" "green" "+"))
If someone is red then they need the dog.
((("someone" "is" "red" "+")) -> ("someone" "needs" "dog" "+"))
If someone eats the bald eagle and they eat the dog then the dog sees the bald eagle.
((("someone" "eats" "bald eagle" "+") ("someone" "eats" "dog" "+")) -> ("dog" "sees" "bald eagle" "+"))
If someone sees the bear then they eat the bear.
((("someone" "sees" "bear" "+")) -> ("someone" "eats" "bear" "+"))
If someone sees the dog and the dog is round then the dog needs the bald eagle.
((("someone" "sees" "dog" "+") ("dog" "is" "round" "+")) -> ("dog" "needs" "bald eagle" "+"))
The dog needs the bear.
True
1
proof
[(triple4)]
("dog" "needs" "bear" "+")
triple4
The bald eagle does not need the dog.
False
1
inv-proof
[(triple1)]
("bald eagle" "needs" "dog" "-")
triple1
The bald eagle eats the bear.
True
2
proof
[(((triple1) -> rule1))]
("bald eagle" "eats" "bear" "+")
((triple1) -> (rule1 % int1))
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
int1
The bald eagle does not eat the bear.
False
2
inv-proof
[(((triple1) -> rule1))]
("bald eagle" "eats" "bear" "-")
((triple1) -> (rule1 % int1))
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
int1
The cat eats the bear.
True
3
proof
[(((((triple3) -> rule5)) -> rule1))]
("cat" "eats" "bear" "+")
((((triple3) -> (rule5 % int2))) -> (rule1 % int1))
The cat eats the bear.
("cat" "eats" "bear" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
int2
The cat does not eat the bear.
False
3
inv-proof
[(((((triple3) -> rule5)) -> rule1))]
("cat" "eats" "bear" "-")
((((triple3) -> (rule5 % int2))) -> (rule1 % int1))
The cat eats the bear.
("cat" "eats" "bear" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
int2
The dog does not need the bald eagle.
Unknown
inv-rconc
[@1: The dog needs the bald eagle.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("dog" "needs" "bald eagle" "-")
The dog sees the bald eagle.
Unknown
rconc
[@1: The dog sees the bald eagle.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("dog" "sees" "bald eagle" "+")
The bear does not see the cat.
Unknown
inv-rconc
[@1: The bear sees the cat.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("bear" "sees" "cat" "-")
The bald eagle sees the bear.
Unknown
random
[@0: The bald eagle sees the bear.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "bear" "+")
The bear does not eat the dog.
Unknown
inv-random
[@0: The bear eats the dog.[CWA. Example of deepest failure = (FAIL)]]
("bear" "eats" "dog" "-")
The cat sees the dog.
Unknown
random
[@0: The cat sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("cat" "sees" "dog" "+")
@0: The bald eagle needs the dog.[(triple1)] The bear needs the dog.[(triple2)] The cat is red.[(triple3)] The dog needs the bear.[(triple4)] @1: The bald eagle eats the bear.[(((triple1) -> rule1))] The bear eats the bear.[(((triple2) -> rule1))] The cat needs the dog.[(((triple3) -> rule5))] The dog is green.[(((triple1) -> rule4) OR ((triple2) -> rule4) OR ((((triple3) -> rule5)) -> rule4))] @2: The cat eats the bear.[(((((triple3) -> rule5)) -> rule1))]
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
triple1
The bear needs the dog.
("bear" "needs" "dog" "+")
triple2
The cat is red.
("cat" "is" "red" "+")
triple3
The dog needs the bear.
("dog" "needs" "bear" "+")
triple4
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
((triple1) -> (rule1 % int1))
The bald eagle eats the bear.
("bald eagle" "eats" "bear" "+")
int1
The bear eats the bear.
("bear" "eats" "bear" "+")
((triple2) -> (rule1 % int1))
The bear eats the bear.
("bear" "eats" "bear" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
((triple3) -> (rule5 % int1))
The cat needs the dog.
("cat" "needs" "dog" "+")
int1
The dog is green.
("dog" "is" "green" "+")
((triple1) -> (rule4 % int1))
The dog is green.
("dog" "is" "green" "+")
int1
((triple2) -> (rule4 % int1))
The dog is green.
("dog" "is" "green" "+")
int1
((((triple3) -> (rule5 % int2))) -> (rule4 % int1))
The dog is green.
("dog" "is" "green" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
int2
The cat eats the bear.
("cat" "eats" "bear" "+")
((((triple3) -> (rule5 % int2))) -> (rule1 % int1))
The cat eats the bear.
("cat" "eats" "bear" "+")
int1
The cat needs the dog.
("cat" "needs" "dog" "+")
int2