The bald eagle needs the cat. The cat needs the bald eagle. If something eats the cat then the cat does not visit the bald eagle. If the cat eats the bald eagle then the cat does not visit the bald eagle. If something needs the bald eagle then the bald eagle is rough. If something is rough then it visits the cat. If something needs the cat then the cat eats the bald eagle. If something needs the cat then it is rough. If something eats the bald eagle then it is rough. If something needs the cat then the cat needs the bald eagle.
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
If something eats the cat then the cat does not visit the bald eagle.
((("something" "eats" "cat" "+")) -> ("cat" "visits" "bald eagle" "-"))
If the cat eats the bald eagle then the cat does not visit the bald eagle.
((("cat" "eats" "bald eagle" "+")) -> ("cat" "visits" "bald eagle" "-"))
If something needs the bald eagle then the bald eagle is rough.
((("something" "needs" "bald eagle" "+")) -> ("bald eagle" "is" "rough" "+"))
If something is rough then it visits the cat.
((("something" "is" "rough" "+")) -> ("something" "visits" "cat" "+"))
If something needs the cat then the cat eats the bald eagle.
((("something" "needs" "cat" "+")) -> ("cat" "eats" "bald eagle" "+"))
If something needs the cat then it is rough.
((("something" "needs" "cat" "+")) -> ("something" "is" "rough" "+"))
If something eats the bald eagle then it is rough.
((("something" "eats" "bald eagle" "+")) -> ("something" "is" "rough" "+"))
If something needs the cat then the cat needs the bald eagle.
((("something" "needs" "cat" "+")) -> ("cat" "needs" "bald eagle" "+"))
The cat needs the bald eagle.
True
1
proof
[(triple2 OR ((triple1) -> rule8))]
("cat" "needs" "bald eagle" "+")
triple2
((triple1) -> (rule8 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The bald eagle does not need the cat.
False
1
inv-proof
[(triple1)]
("bald eagle" "needs" "cat" "-")
triple1
The bald eagle is rough.
True
2
proof
[(((triple1) -> rule6) OR ((triple2) -> rule3) OR ((((triple1) -> rule8)) -> rule3))]
("bald eagle" "is" "rough" "+")
((triple1) -> (rule6 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
((triple2) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
((((triple1) -> (rule8 % int2))) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int2
The cat does not eat the bald eagle.
False
2
inv-proof
[(((triple1) -> rule5))]
("cat" "eats" "bald eagle" "-")
((triple1) -> (rule5 % int1))
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int1
The bald eagle visits the cat.
True
3
proof
[(((((triple1) -> rule6)) -> rule4) OR ((((triple2) -> rule3)) -> rule4) OR ((((((triple1) -> rule8)) -> rule3)) -> rule4))]
("bald eagle" "visits" "cat" "+")
((((triple1) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
((((triple2) -> (rule3 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
((((((triple1) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int3
The cat is not rough.
False
3
inv-proof
[(((((triple1) -> rule5)) -> rule7))]
("cat" "is" "rough" "-")
((((triple1) -> (rule5 % int2))) -> (rule7 % int1))
The cat is rough.
("cat" "is" "rough" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat visits the cat.
True
4
proof
[(((((((triple1) -> rule5)) -> rule7)) -> rule4))]
("cat" "visits" "cat" "+")
((((((triple1) -> (rule5 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The cat visits the cat.
("cat" "visits" "cat" "+")
int1
The cat is rough.
("cat" "is" "rough" "+")
int2
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int3
The cat does not visit the cat.
False
4
inv-proof
[(((((((triple1) -> rule5)) -> rule7)) -> rule4))]
("cat" "visits" "cat" "-")
((((((triple1) -> (rule5 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The cat visits the cat.
("cat" "visits" "cat" "+")
int1
The cat is rough.
("cat" "is" "rough" "+")
int2
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int3
The bald eagle does not eat the cat.
Unknown
inv-random
[@0: The bald eagle eats the cat.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "eats" "cat" "-")
The cat needs the cat.
Unknown
random
[@0: The cat needs the cat.[CWA. Example of deepest failure = (FAIL)]]
("cat" "needs" "cat" "+")
The bald eagle does not eat the bald eagle.
Unknown
inv-random
[@0: The bald eagle eats the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "eats" "bald eagle" "-")
The bald eagle is cold.
Unknown
random
[@0: The bald eagle is cold.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "cold" "+")
The cat is not kind.
Unknown
inv-random
[@0: The cat is kind.[CWA. Example of deepest failure = (FAIL)]]
("cat" "is" "kind" "-")
The cat is young.
Unknown
random
[@0: The cat is young.[CWA. Example of deepest failure = (FAIL)]]
("cat" "is" "young" "+")
The cat does not eat the cat.
Unknown
inv-random
[@0: The cat eats the cat.[CWA. Example of deepest failure = (FAIL)]]
("cat" "eats" "cat" "-")
The bald eagle is big.
Unknown
random
[@0: The bald eagle is big.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "big" "+")
@0: The bald eagle needs the cat.[(triple1)] The cat needs the bald eagle.[(triple2 OR ((triple1) -> rule8))] @1: The bald eagle is rough.[(((triple1) -> rule6) OR ((triple2) -> rule3) OR ((((triple1) -> rule8)) -> rule3))] The cat eats the bald eagle.[(((triple1) -> rule5))] @2: The bald eagle visits the cat.[(((((triple1) -> rule6)) -> rule4) OR ((((triple2) -> rule3)) -> rule4) OR ((((((triple1) -> rule8)) -> rule3)) -> rule4))] The cat does not visit the bald eagle.[(((((triple1) -> rule5)) -> rule2))] The cat is rough.[(((((triple1) -> rule5)) -> rule7))] @3: The cat visits the cat.[(((((((triple1) -> rule5)) -> rule7)) -> rule4))]
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
triple1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
triple2
((triple1) -> (rule8 % int1))
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
((triple1) -> (rule6 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
((triple2) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
((((triple1) -> (rule8 % int2))) -> (rule3 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int2
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
((triple1) -> (rule5 % int1))
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int1
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
((((triple1) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
((((triple2) -> (rule3 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
((((((triple1) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule4 % int1))
The bald eagle visits the cat.
("bald eagle" "visits" "cat" "+")
int1
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int2
The cat needs the bald eagle.
("cat" "needs" "bald eagle" "+")
int3
The cat does not visit the bald eagle.
("cat" "visits" "bald eagle" "-")
((((triple1) -> (rule5 % int2))) -> (rule2 % int1))
The cat does not visit the bald eagle.
("cat" "visits" "bald eagle" "-")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat is rough.
("cat" "is" "rough" "+")
((((triple1) -> (rule5 % int2))) -> (rule7 % int1))
The cat is rough.
("cat" "is" "rough" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat visits the cat.
("cat" "visits" "cat" "+")
((((((triple1) -> (rule5 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The cat visits the cat.
("cat" "visits" "cat" "+")
int1
The cat is rough.
("cat" "is" "rough" "+")
int2
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int3