The bald eagle chases the rabbit. The bald eagle eats the mouse. The bald eagle is kind. The dog chases the bald eagle. The dog is round. The mouse is kind. The mouse needs the dog. The mouse needs the rabbit. The rabbit chases the bald eagle. The rabbit chases the dog. If something is big and it chases the bald eagle then the bald eagle is red. If something eats the rabbit and it is red then the rabbit needs the bald eagle. If something needs the dog then it needs the bald eagle. If something needs the rabbit then it needs the dog. If something is green then it needs the rabbit. If something needs the bald eagle then the bald eagle eats the rabbit. If the bald eagle chases the rabbit then the rabbit is big. If something needs the bald eagle then the bald eagle chases the mouse.
The bald eagle chases the rabbit.
("bald eagle" "chases" "rabbit" "+")
The bald eagle eats the mouse.
("bald eagle" "eats" "mouse" "+")
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
The dog is round.
("dog" "is" "round" "+")
The mouse is kind.
("mouse" "is" "kind" "+")
The mouse needs the dog.
("mouse" "needs" "dog" "+")
The mouse needs the rabbit.
("mouse" "needs" "rabbit" "+")
The rabbit chases the bald eagle.
("rabbit" "chases" "bald eagle" "+")
The rabbit chases the dog.
("rabbit" "chases" "dog" "+")
If something is big and it chases the bald eagle then the bald eagle is red.
((("something" "is" "big" "+") ("something" "chases" "bald eagle" "+")) -> ("bald eagle" "is" "red" "+"))
If something eats the rabbit and it is red then the rabbit needs the bald eagle.
((("something" "eats" "rabbit" "+") ("something" "is" "red" "+")) -> ("rabbit" "needs" "bald eagle" "+"))
If something needs the dog then it needs the bald eagle.
((("something" "needs" "dog" "+")) -> ("something" "needs" "bald eagle" "+"))
If something needs the rabbit then it needs the dog.
((("something" "needs" "rabbit" "+")) -> ("something" "needs" "dog" "+"))
If something is green then it needs the rabbit.
((("something" "is" "green" "+")) -> ("something" "needs" "rabbit" "+"))
If something needs the bald eagle then the bald eagle eats the rabbit.
((("something" "needs" "bald eagle" "+")) -> ("bald eagle" "eats" "rabbit" "+"))
If the bald eagle chases the rabbit then the rabbit is big.
((("bald eagle" "chases" "rabbit" "+")) -> ("rabbit" "is" "big" "+"))
If something needs the bald eagle then the bald eagle chases the mouse.
((("something" "needs" "bald eagle" "+")) -> ("bald eagle" "chases" "mouse" "+"))
The bald eagle eats the mouse.
True
1
proof
[(triple2)]
("bald eagle" "eats" "mouse" "+")
triple2
The bald eagle is not kind.
False
1
inv-proof
[(triple3)]
("bald eagle" "is" "kind" "-")
triple3
The mouse needs the bald eagle.
True
2
proof
[(((triple7) -> rule3) OR ((((triple8) -> rule4)) -> rule3))]
("mouse" "needs" "bald eagle" "+")
((triple7) -> (rule3 % int1))
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int1
((((triple8) -> (rule4 % int2))) -> (rule3 % int1))
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int1
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int2
The rabbit is not big.
False
2
inv-proof
[(((triple1) -> rule7))]
("rabbit" "is" "big" "-")
((triple1) -> (rule7 % int1))
The rabbit is big.
("rabbit" "is" "big" "+")
int1
The bald eagle does not need the rabbit.
Unknown
inv-rconc
[@1: The bald eagle needs the rabbit.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("bald eagle" "needs" "rabbit" "-")
The dog needs the rabbit.
Unknown
rconc
[@1: The dog needs the rabbit.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("dog" "needs" "rabbit" "+")
The dog does not eat the mouse.
Unknown
inv-random
[@0: The dog eats the mouse.[CWA. Example of deepest failure = (FAIL)]]
("dog" "eats" "mouse" "-")
The rabbit is red.
Unknown
random
[@0: The rabbit is red.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "is" "red" "+")
@0: The bald eagle chases the rabbit.[(triple1)] The bald eagle eats the mouse.[(triple2)] The bald eagle is kind.[(triple3)] The dog chases the bald eagle.[(triple4)] The dog is round.[(triple5)] The mouse is kind.[(triple6)] The mouse needs the dog.[(triple7 OR ((triple8) -> rule4))] The mouse needs the rabbit.[(triple8)] The rabbit chases the bald eagle.[(triple9)] The rabbit chases the dog.[(triple10)] @1: The mouse needs the bald eagle.[(((triple7) -> rule3) OR ((((triple8) -> rule4)) -> rule3))] The rabbit is big.[(((triple1) -> rule7))] @2: The bald eagle chases the mouse.[(((((triple7) -> rule3)) -> rule8) OR ((((((triple8) -> rule4)) -> rule3)) -> rule8) OR ((((((((triple7) -> rule3)) -> rule6) ((((triple1) -> rule7) triple9) -> rule1)) -> rule2)) -> rule8) OR ((((((((((triple8) -> rule4)) -> rule3)) -> rule6) ((((triple1) -> rule7) triple9) -> rule1)) -> rule2)) -> rule8))] The bald eagle eats the rabbit.[(((((triple7) -> rule3)) -> rule6) OR ((((((triple8) -> rule4)) -> rule3)) -> rule6))] The bald eagle is red.[(((((triple1) -> rule7) triple9) -> rule1))] @3: The rabbit needs the bald eagle.[(((((((triple7) -> rule3)) -> rule6) ((((triple1) -> rule7) triple9) -> rule1)) -> rule2) OR ((((((((triple8) -> rule4)) -> rule3)) -> rule6) ((((triple1) -> rule7) triple9) -> rule1)) -> rule2))]
The bald eagle chases the rabbit.
("bald eagle" "chases" "rabbit" "+")
triple1
The bald eagle eats the mouse.
("bald eagle" "eats" "mouse" "+")
triple2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
triple3
The dog chases the bald eagle.
("dog" "chases" "bald eagle" "+")
triple4
The dog is round.
("dog" "is" "round" "+")
triple5
The mouse is kind.
("mouse" "is" "kind" "+")
triple6
The mouse needs the dog.
("mouse" "needs" "dog" "+")
triple7
((triple8) -> (rule4 % int1))
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int1
The mouse needs the rabbit.
("mouse" "needs" "rabbit" "+")
triple8
The rabbit chases the bald eagle.
("rabbit" "chases" "bald eagle" "+")
triple9
The rabbit chases the dog.
("rabbit" "chases" "dog" "+")
triple10
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
((triple7) -> (rule3 % int1))
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int1
((((triple8) -> (rule4 % int2))) -> (rule3 % int1))
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int1
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int2
The rabbit is big.
("rabbit" "is" "big" "+")
((triple1) -> (rule7 % int1))
The rabbit is big.
("rabbit" "is" "big" "+")
int1
The bald eagle chases the mouse.
("bald eagle" "chases" "mouse" "+")
((((triple7) -> (rule3 % int2))) -> (rule8 % int1))
The bald eagle chases the mouse.
("bald eagle" "chases" "mouse" "+")
int1
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int2
((((((triple8) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule8 % int1))
The bald eagle chases the mouse.
("bald eagle" "chases" "mouse" "+")
int1
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int2
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int3
((((((((triple7) -> (rule3 % int6))) -> (rule6 % int5)) ((((triple1) -> (rule7 % int4)) triple9) -> (rule1 % int3))) -> (rule2 % int2))) -> (rule8 % int1))
The bald eagle chases the mouse.
("bald eagle" "chases" "mouse" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3
The rabbit is big.
("rabbit" "is" "big" "+")
int4
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int5
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int6
((((((((((triple8) -> (rule4 % int7))) -> (rule3 % int6))) -> (rule6 % int5)) ((((triple1) -> (rule7 % int4)) triple9) -> (rule1 % int3))) -> (rule2 % int2))) -> (rule8 % int1))
The bald eagle chases the mouse.
("bald eagle" "chases" "mouse" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3
The rabbit is big.
("rabbit" "is" "big" "+")
int4
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int5
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int6
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int7
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
((((triple7) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int2
((((((triple8) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int2
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int3
The bald eagle is red.
("bald eagle" "is" "red" "+")
((((triple1) -> (rule7 % int2)) triple9) -> (rule1 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The rabbit is big.
("rabbit" "is" "big" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
((((((triple7) -> (rule3 % int5))) -> (rule6 % int4)) ((((triple1) -> (rule7 % int3)) triple9) -> (rule1 % int2))) -> (rule2 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The rabbit is big.
("rabbit" "is" "big" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int5
((((((((triple8) -> (rule4 % int6))) -> (rule3 % int5))) -> (rule6 % int4)) ((((triple1) -> (rule7 % int3)) triple9) -> (rule1 % int2))) -> (rule2 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The rabbit is big.
("rabbit" "is" "big" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The mouse needs the bald eagle.
("mouse" "needs" "bald eagle" "+")
int5
The mouse needs the dog.
("mouse" "needs" "dog" "+")
int6