The bald eagle is blue. The bald eagle is young. The bald eagle does not visit the cat. The cat is not blue. The dog is not young. The squirrel eats the cat. The squirrel eats the dog. The squirrel is cold. The squirrel is young. The squirrel needs the dog. The squirrel visits the bald eagle. If someone is young and rough then they visit the dog. If the dog needs the bald eagle and the dog needs the squirrel then the bald eagle needs the cat. All young people are rough. If the bald eagle visits the dog then the dog visits the bald eagle. If someone eats the bald eagle then they are cold. If someone visits the squirrel and the squirrel needs the cat then they eat the bald eagle. If someone visits the bald eagle then they eat the bald eagle. If someone eats the dog and they do not visit the dog then the dog is cold.
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle is young.
("bald eagle" "is" "young" "+")
The bald eagle does not visit the cat.
("bald eagle" "visits" "cat" "-")
The cat is not blue.
("cat" "is" "blue" "-")
The dog is not young.
("dog" "is" "young" "-")
The squirrel eats the cat.
("squirrel" "eats" "cat" "+")
The squirrel eats the dog.
("squirrel" "eats" "dog" "+")
The squirrel is cold.
("squirrel" "is" "cold" "+")
The squirrel is young.
("squirrel" "is" "young" "+")
The squirrel needs the dog.
("squirrel" "needs" "dog" "+")
The squirrel visits the bald eagle.
("squirrel" "visits" "bald eagle" "+")
If someone is young and rough then they visit the dog.
((("someone" "is" "young" "+") ("someone" "is" "rough" "+")) -> ("someone" "visits" "dog" "+"))
If the dog needs the bald eagle and the dog needs the squirrel then the bald eagle needs the cat.
((("dog" "needs" "bald eagle" "+") ("dog" "needs" "squirrel" "+")) -> ("bald eagle" "needs" "cat" "+"))
All young people are rough.
((("someone" "is" "young" "+")) -> ("someone" "is" "rough" "+"))
If the bald eagle visits the dog then the dog visits the bald eagle.
((("bald eagle" "visits" "dog" "+")) -> ("dog" "visits" "bald eagle" "+"))
If someone eats the bald eagle then they are cold.
((("someone" "eats" "bald eagle" "+")) -> ("someone" "is" "cold" "+"))
If someone visits the squirrel and the squirrel needs the cat then they eat the bald eagle.
((("someone" "visits" "squirrel" "+") ("squirrel" "needs" "cat" "+")) -> ("someone" "eats" "bald eagle" "+"))
If someone visits the bald eagle then they eat the bald eagle.
((("someone" "visits" "bald eagle" "+")) -> ("someone" "eats" "bald eagle" "+"))
If someone eats the dog and they do not visit the dog then the dog is cold.
((("someone" "eats" "dog" "+") ("someone" "visits" "dog" "~")) -> ("dog" "is" "cold" "+"))
The squirrel needs the dog.
True
1
proof
[(triple10)]
("squirrel" "needs" "dog" "+")
triple10
The cat is blue.
False
1
inv-proof
[(triple4)]
("cat" "is" "blue" "+")
triple4
The squirrel eats the bald eagle.
True
2
proof
[(((triple11) -> rule7))]
("squirrel" "eats" "bald eagle" "+")
((triple11) -> (rule7 % int1))
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
int1
The bald eagle is not rough.
False
2
inv-proof
[(((triple2) -> rule3))]
("bald eagle" "is" "rough" "-")
((triple2) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The squirrel visits the dog.
True
4
proof
[(((triple9 ((triple9) -> rule3)) -> rule1))]
("squirrel" "visits" "dog" "+")
((triple9 ((triple9) -> (rule3 % int2))) -> (rule1 % int1))
The squirrel visits the dog.
("squirrel" "visits" "dog" "+")
int1
The squirrel is rough.
("squirrel" "is" "rough" "+")
int2
The squirrel does not visit the dog.
False
4
inv-proof
[(((triple9 ((triple9) -> rule3)) -> rule1))]
("squirrel" "visits" "dog" "-")
((triple9 ((triple9) -> (rule3 % int2))) -> (rule1 % int1))
The squirrel visits the dog.
("squirrel" "visits" "dog" "+")
int1
The squirrel is rough.
("squirrel" "is" "rough" "+")
int2
The dog visits the bald eagle.
True
5
proof
[(((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4))]
("dog" "visits" "bald eagle" "+")
((((triple2 ((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int3
The dog does not visit the bald eagle.
False
5
inv-proof
[(((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4))]
("dog" "visits" "bald eagle" "-")
((((triple2 ((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int3
The dog eats the bald eagle.
True
6
proof
[(((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7))]
("dog" "eats" "bald eagle" "+")
((((((triple2 ((triple2) -> (rule3 % int4))) -> (rule1 % int3))) -> (rule4 % int2))) -> (rule7 % int1))
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int1
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int2
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int3
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int4
The dog does not eat the bald eagle.
False
6
inv-proof
[(((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7))]
("dog" "eats" "bald eagle" "-")
((((((triple2 ((triple2) -> (rule3 % int4))) -> (rule1 % int3))) -> (rule4 % int2))) -> (rule7 % int1))
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int1
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int2
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int3
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int4
The dog is cold.
True
7
proof
[(((((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7)) -> rule5))]
("dog" "is" "cold" "+")
((((((((triple2 ((triple2) -> (rule3 % int5))) -> (rule1 % int4))) -> (rule4 % int3))) -> (rule7 % int2))) -> (rule5 % int1))
The dog is cold.
("dog" "is" "cold" "+")
int1
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int2
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int3
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int4
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int5
The dog is not cold.
False
7
inv-proof
[(((((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7)) -> rule5))]
("dog" "is" "cold" "-")
((((((((triple2 ((triple2) -> (rule3 % int5))) -> (rule1 % int4))) -> (rule4 % int3))) -> (rule7 % int2))) -> (rule5 % int1))
The dog is cold.
("dog" "is" "cold" "+")
int1
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int2
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int3
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int4
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int5
The bald eagle is not cold.
Unknown
inv-rconc
[@2: The bald eagle is cold.[CWA. Example of deepest failure = (rule5 <- rule6 <- FAIL)]]
("bald eagle" "is" "cold" "-")
The bald eagle eats the bald eagle.
Unknown
rconc
[@1: The bald eagle eats the bald eagle.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("bald eagle" "eats" "bald eagle" "+")
The cat does not visit the dog.
Unknown
inv-rconc
[@1: The cat visits the dog.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cat" "visits" "dog" "-")
The cat is cold.
Unknown
rconc
[@2: The cat is cold.[CWA. Example of deepest failure = (rule5 <- rule6 <- FAIL)]]
("cat" "is" "cold" "+")
The dog does not visit the dog.
Unknown
inv-rconc
[@1: The dog visits the dog.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("dog" "visits" "dog" "-")
The dog is rough.
Unknown
rconc
[@1: The dog is rough.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("dog" "is" "rough" "+")
The dog does not visit the squirrel.
Unknown
inv-random
[@0: The dog visits the squirrel.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "squirrel" "-")
The dog needs the dog.
Unknown
random
[@0: The dog needs the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "needs" "dog" "+")
The cat does not need the bald eagle.
Unknown
inv-random
[@0: The cat needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cat" "needs" "bald eagle" "-")
The bald eagle needs the bald eagle.
Unknown
random
[@0: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "bald eagle" "+")
The cat does not visit the cat.
Unknown
inv-random
[@0: The cat visits the cat.[CWA. Example of deepest failure = (FAIL)]]
("cat" "visits" "cat" "-")
The bald eagle needs the squirrel.
Unknown
random
[@0: The bald eagle needs the squirrel.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "squirrel" "+")
@0: The bald eagle does not visit the cat.[(triple3)] The bald eagle is blue.[(triple1)] The bald eagle is young.[(triple2)] The cat is not blue.[(triple4)] The dog is not young.[(triple5)] The squirrel eats the cat.[(triple6)] The squirrel eats the dog.[(triple7)] The squirrel is cold.[(triple8 OR ((((triple11) -> rule7)) -> rule5))] The squirrel is young.[(triple9)] The squirrel needs the dog.[(triple10)] The squirrel visits the bald eagle.[(triple11)] @1: The bald eagle is rough.[(((triple2) -> rule3))] The squirrel eats the bald eagle.[(((triple11) -> rule7))] The squirrel is rough.[(((triple9) -> rule3))] @2: The bald eagle visits the dog.[(((triple2 ((triple2) -> rule3)) -> rule1))] The squirrel visits the dog.[(((triple9 ((triple9) -> rule3)) -> rule1))] @3: The dog visits the bald eagle.[(((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4))] @4: The dog eats the bald eagle.[(((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7))] @5: The dog is cold.[(((((((((triple2 ((triple2) -> rule3)) -> rule1)) -> rule4)) -> rule7)) -> rule5))]
The bald eagle does not visit the cat.
("bald eagle" "visits" "cat" "-")
triple3
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple1
The bald eagle is young.
("bald eagle" "is" "young" "+")
triple2
The cat is not blue.
("cat" "is" "blue" "-")
triple4
The dog is not young.
("dog" "is" "young" "-")
triple5
The squirrel eats the cat.
("squirrel" "eats" "cat" "+")
triple6
The squirrel eats the dog.
("squirrel" "eats" "dog" "+")
triple7
The squirrel is cold.
("squirrel" "is" "cold" "+")
triple8
((((triple11) -> (rule7 % int2))) -> (rule5 % int1))
The squirrel is cold.
("squirrel" "is" "cold" "+")
int1
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
int2
The squirrel is young.
("squirrel" "is" "young" "+")
triple9
The squirrel needs the dog.
("squirrel" "needs" "dog" "+")
triple10
The squirrel visits the bald eagle.
("squirrel" "visits" "bald eagle" "+")
triple11
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
((triple2) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
((triple11) -> (rule7 % int1))
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
int1
The squirrel is rough.
("squirrel" "is" "rough" "+")
((triple9) -> (rule3 % int1))
The squirrel is rough.
("squirrel" "is" "rough" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
((triple2 ((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
The squirrel visits the dog.
("squirrel" "visits" "dog" "+")
((triple9 ((triple9) -> (rule3 % int2))) -> (rule1 % int1))
The squirrel visits the dog.
("squirrel" "visits" "dog" "+")
int1
The squirrel is rough.
("squirrel" "is" "rough" "+")
int2
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
((((triple2 ((triple2) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int1
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int2
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int3
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
((((((triple2 ((triple2) -> (rule3 % int4))) -> (rule1 % int3))) -> (rule4 % int2))) -> (rule7 % int1))
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int1
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int2
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int3
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int4
The dog is cold.
("dog" "is" "cold" "+")
((((((((triple2 ((triple2) -> (rule3 % int5))) -> (rule1 % int4))) -> (rule4 % int3))) -> (rule7 % int2))) -> (rule5 % int1))
The dog is cold.
("dog" "is" "cold" "+")
int1
The dog eats the bald eagle.
("dog" "eats" "bald eagle" "+")
int2
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
int3
The bald eagle visits the dog.
("bald eagle" "visits" "dog" "+")
int4
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int5