The bald eagle is big. The bald eagle is nice. The bald eagle needs the lion. The bald eagle visits the lion. The bald eagle visits the tiger. The dog is kind. The dog is nice. The dog visits the bald eagle. The lion eats the bald eagle. The lion eats the tiger. The lion visits the tiger. The tiger eats the bald eagle. The tiger eats the dog. The tiger eats the lion. If someone eats the lion then they visit the bald eagle. If someone is nice and they visit the tiger then they are cold. If someone visits the dog and they are kind then the dog eats the lion. If someone is nice and they visit the bald eagle then the bald eagle eats the lion. If the dog eats the lion then the lion is nice. If someone needs the dog and they need the tiger then the dog eats the lion. If someone visits the bald eagle then they need the tiger. If the bald eagle eats the lion and the bald eagle is cold then the bald eagle needs the dog. If someone eats the dog and the dog visits the lion then the lion eats the dog.
The bald eagle is big.
("bald eagle" "is" "big" "+")
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
The bald eagle visits the tiger.
("bald eagle" "visits" "tiger" "+")
The dog is kind.
("dog" "is" "kind" "+")
The dog is nice.
("dog" "is" "nice" "+")
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
The lion eats the bald eagle.
("lion" "eats" "bald eagle" "+")
The lion eats the tiger.
("lion" "eats" "tiger" "+")
The lion visits the tiger.
("lion" "visits" "tiger" "+")
The tiger eats the bald eagle.
("tiger" "eats" "bald eagle" "+")
The tiger eats the dog.
("tiger" "eats" "dog" "+")
The tiger eats the lion.
("tiger" "eats" "lion" "+")
If someone eats the lion then they visit the bald eagle.
((("someone" "eats" "lion" "+")) -> ("someone" "visits" "bald eagle" "+"))
If someone is nice and they visit the tiger then they are cold.
((("someone" "is" "nice" "+") ("someone" "visits" "tiger" "+")) -> ("someone" "is" "cold" "+"))
If someone visits the dog and they are kind then the dog eats the lion.
((("someone" "visits" "dog" "+") ("someone" "is" "kind" "+")) -> ("dog" "eats" "lion" "+"))
If someone is nice and they visit the bald eagle then the bald eagle eats the lion.
((("someone" "is" "nice" "+") ("someone" "visits" "bald eagle" "+")) -> ("bald eagle" "eats" "lion" "+"))
If the dog eats the lion then the lion is nice.
((("dog" "eats" "lion" "+")) -> ("lion" "is" "nice" "+"))
If someone needs the dog and they need the tiger then the dog eats the lion.
((("someone" "needs" "dog" "+") ("someone" "needs" "tiger" "+")) -> ("dog" "eats" "lion" "+"))
If someone visits the bald eagle then they need the tiger.
((("someone" "visits" "bald eagle" "+")) -> ("someone" "needs" "tiger" "+"))
If the bald eagle eats the lion and the bald eagle is cold then the bald eagle needs the dog.
((("bald eagle" "eats" "lion" "+") ("bald eagle" "is" "cold" "+")) -> ("bald eagle" "needs" "dog" "+"))
If someone eats the dog and the dog visits the lion then the lion eats the dog.
((("someone" "eats" "dog" "+") ("dog" "visits" "lion" "+")) -> ("lion" "eats" "dog" "+"))
The bald eagle visits the tiger.
True
1
proof
[(triple5)]
("bald eagle" "visits" "tiger" "+")
triple5
The bald eagle does not visit the tiger.
False
1
inv-proof
[(triple5)]
("bald eagle" "visits" "tiger" "-")
triple5
The bald eagle is cold.
True
3
proof
[(((triple2 triple5) -> rule2))]
("bald eagle" "is" "cold" "+")
((triple2 triple5) -> (rule2 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The bald eagle is not cold.
False
3
inv-proof
[(((triple2 triple5) -> rule2))]
("bald eagle" "is" "cold" "-")
((triple2 triple5) -> (rule2 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The bald eagle needs the dog.
True
7
proof
[(((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8))]
("bald eagle" "needs" "dog" "+")
((((triple7 triple8) -> (rule4 % int3)) ((triple2 triple5) -> (rule2 % int2))) -> (rule8 % int1))
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The bald eagle does not need the dog.
False
7
inv-proof
[(((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8))]
("bald eagle" "needs" "dog" "-")
((((triple7 triple8) -> (rule4 % int3)) ((triple2 triple5) -> (rule2 % int2))) -> (rule8 % int1))
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The bald eagle needs the tiger.
True
5
proof
[(((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7))]
("bald eagle" "needs" "tiger" "+")
((((((triple7 triple8) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The bald eagle does not need the tiger.
False
5
inv-proof
[(((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7))]
("bald eagle" "needs" "tiger" "-")
((((((triple7 triple8) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The dog eats the lion.
True
13
proof
[(((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6))]
("dog" "eats" "lion" "+")
((((((triple7 triple8) -> (rule4 % int6)) ((triple2 triple5) -> (rule2 % int5))) -> (rule8 % int4)) ((((((triple7 triple8) -> (rule4 % int6))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule6 % int1))
The dog eats the lion.
("dog" "eats" "lion" "+")
int1
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int5
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int6
The dog does not eat the lion.
False
13
inv-proof
[(((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6))]
("dog" "eats" "lion" "-")
((((((triple7 triple8) -> (rule4 % int6)) ((triple2 triple5) -> (rule2 % int5))) -> (rule8 % int4)) ((((((triple7 triple8) -> (rule4 % int6))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule6 % int1))
The dog eats the lion.
("dog" "eats" "lion" "+")
int1
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int5
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int6
The lion is nice.
True
14
proof
[(((((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6)) -> rule5))]
("lion" "is" "nice" "+")
((((((((triple7 triple8) -> (rule4 % int7)) ((triple2 triple5) -> (rule2 % int6))) -> (rule8 % int5)) ((((((triple7 triple8) -> (rule4 % int7))) -> (rule1 % int4))) -> (rule7 % int3))) -> (rule6 % int2))) -> (rule5 % int1))
The lion is nice.
("lion" "is" "nice" "+")
int1
The dog eats the lion.
("dog" "eats" "lion" "+")
int2
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int5
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int6
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int7
The lion is not nice.
False
14
inv-proof
[(((((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6)) -> rule5))]
("lion" "is" "nice" "-")
((((((((triple7 triple8) -> (rule4 % int7)) ((triple2 triple5) -> (rule2 % int6))) -> (rule8 % int5)) ((((((triple7 triple8) -> (rule4 % int7))) -> (rule1 % int4))) -> (rule7 % int3))) -> (rule6 % int2))) -> (rule5 % int1))
The lion is nice.
("lion" "is" "nice" "+")
int1
The dog eats the lion.
("dog" "eats" "lion" "+")
int2
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int5
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int6
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int7
The dog is not cold.
Unknown
inv-rconc
[@1: The dog is cold.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("dog" "is" "cold" "-")
The lion visits the bald eagle.
Unknown
rconc
[@1: The lion visits the bald eagle.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("lion" "visits" "bald eagle" "+")
The lion does not need the tiger.
Unknown
inv-rconc
[@2: The lion needs the tiger.[CWA. Example of deepest failure = (rule7 <- rule1 <- FAIL)]]
("lion" "needs" "tiger" "-")
The lion eats the dog.
Unknown
rconc
[@1: The lion eats the dog.[CWA. Example of deepest failure = (rule9 <- FAIL)]]
("lion" "eats" "dog" "+")
The tiger is not cold.
Unknown
inv-rconc
[@1: The tiger is cold.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("tiger" "is" "cold" "-")
The lion needs the lion.
Unknown
random
[@0: The lion needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "needs" "lion" "+")
The dog is not red.
Unknown
inv-random
[@0: The dog is red.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "red" "-")
The lion is kind.
Unknown
random
[@0: The lion is kind.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "kind" "+")
The dog does not visit the tiger.
Unknown
inv-random
[@0: The dog visits the tiger.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "tiger" "-")
The tiger needs the bald eagle.
Unknown
random
[@0: The tiger needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "needs" "bald eagle" "+")
The tiger does not visit the tiger.
Unknown
inv-random
[@0: The tiger visits the tiger.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "visits" "tiger" "-")
The bald eagle is red.
Unknown
random
[@0: The bald eagle is red.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "red" "+")
@0: The bald eagle is big.[(triple1)] The bald eagle is nice.[(triple2)] The bald eagle needs the lion.[(triple3)] The bald eagle visits the lion.[(triple4)] The bald eagle visits the tiger.[(triple5)] The dog is kind.[(triple6)] The dog is nice.[(triple7)] The dog visits the bald eagle.[(triple8)] The lion eats the bald eagle.[(triple9)] The lion eats the tiger.[(triple10)] The lion visits the tiger.[(triple11)] The tiger eats the bald eagle.[(triple12)] The tiger eats the dog.[(triple13)] The tiger eats the lion.[(triple14)] @1: The bald eagle eats the lion.[(((triple7 triple8) -> rule4))] The bald eagle is cold.[(((triple2 triple5) -> rule2))] The dog needs the tiger.[(((triple8) -> rule7))] The tiger visits the bald eagle.[(((triple14) -> rule1))] @2: The bald eagle needs the dog.[(((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8))] The bald eagle visits the bald eagle.[(((((triple7 triple8) -> rule4)) -> rule1))] The tiger needs the tiger.[(((((triple14) -> rule1)) -> rule7))] @3: The bald eagle needs the tiger.[(((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7))] @4: The dog eats the lion.[(((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6))] @5: The lion is nice.[(((((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6)) -> rule5))] @6: The lion is cold.[(((((((((((triple7 triple8) -> rule4) ((triple2 triple5) -> rule2)) -> rule8) ((((((triple7 triple8) -> rule4)) -> rule1)) -> rule7)) -> rule6)) -> rule5) triple11) -> rule2))]
The bald eagle is big.
("bald eagle" "is" "big" "+")
triple1
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
triple2
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
triple3
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
triple4
The bald eagle visits the tiger.
("bald eagle" "visits" "tiger" "+")
triple5
The dog is kind.
("dog" "is" "kind" "+")
triple6
The dog is nice.
("dog" "is" "nice" "+")
triple7
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
triple8
The lion eats the bald eagle.
("lion" "eats" "bald eagle" "+")
triple9
The lion eats the tiger.
("lion" "eats" "tiger" "+")
triple10
The lion visits the tiger.
("lion" "visits" "tiger" "+")
triple11
The tiger eats the bald eagle.
("tiger" "eats" "bald eagle" "+")
triple12
The tiger eats the dog.
("tiger" "eats" "dog" "+")
triple13
The tiger eats the lion.
("tiger" "eats" "lion" "+")
triple14
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
((triple7 triple8) -> (rule4 % int1))
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
((triple2 triple5) -> (rule2 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The dog needs the tiger.
("dog" "needs" "tiger" "+")
((triple8) -> (rule7 % int1))
The dog needs the tiger.
("dog" "needs" "tiger" "+")
int1
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
((triple14) -> (rule1 % int1))
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int1
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
((((triple7 triple8) -> (rule4 % int3)) ((triple2 triple5) -> (rule2 % int2))) -> (rule8 % int1))
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
((((triple7 triple8) -> (rule4 % int2))) -> (rule1 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int2
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
((((triple14) -> (rule1 % int2))) -> (rule7 % int1))
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
int1
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int2
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
((((((triple7 triple8) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int3
The dog eats the lion.
("dog" "eats" "lion" "+")
((((((triple7 triple8) -> (rule4 % int6)) ((triple2 triple5) -> (rule2 % int5))) -> (rule8 % int4)) ((((((triple7 triple8) -> (rule4 % int6))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule6 % int1))
The dog eats the lion.
("dog" "eats" "lion" "+")
int1
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int4
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int5
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int6
The lion is nice.
("lion" "is" "nice" "+")
((((((((triple7 triple8) -> (rule4 % int7)) ((triple2 triple5) -> (rule2 % int6))) -> (rule8 % int5)) ((((((triple7 triple8) -> (rule4 % int7))) -> (rule1 % int4))) -> (rule7 % int3))) -> (rule6 % int2))) -> (rule5 % int1))
The lion is nice.
("lion" "is" "nice" "+")
int1
The dog eats the lion.
("dog" "eats" "lion" "+")
int2
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int5
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int6
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int7
The lion is cold.
("lion" "is" "cold" "+")
((((((((((triple7 triple8) -> (rule4 % int8)) ((triple2 triple5) -> (rule2 % int7))) -> (rule8 % int6)) ((((((triple7 triple8) -> (rule4 % int8))) -> (rule1 % int5))) -> (rule7 % int4))) -> (rule6 % int3))) -> (rule5 % int2)) triple11) -> (rule2 % int1))
The lion is cold.
("lion" "is" "cold" "+")
int1
The lion is nice.
("lion" "is" "nice" "+")
int2
The dog eats the lion.
("dog" "eats" "lion" "+")
int3
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
int4
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int5
The bald eagle needs the dog.
("bald eagle" "needs" "dog" "+")
int6
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int7
The bald eagle eats the lion.
("bald eagle" "eats" "lion" "+")
int8