The bald eagle is big. The bald eagle is green. The bald eagle needs the lion. The bald eagle sees the dog. The cat needs the lion. The dog chases the lion. The dog is big. The dog sees the cat. The lion is big. The lion is not blue. The lion needs the cat. If something needs the cat then it does not chase the cat. If something chases the bald eagle and the bald eagle sees the lion then the bald eagle is not green. If something is green then it needs the cat. If something needs the lion then it is kind. Kind things are red. If something needs the dog and it needs the lion then the dog sees the cat. If something needs the bald eagle then the bald eagle does not see the lion. If something is red then it is green. If the dog is not kind and the dog is not big then the dog is blue.
The bald eagle is big.
("bald eagle" "is" "big" "+")
The bald eagle is green.
("bald eagle" "is" "green" "+")
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
The cat needs the lion.
("cat" "needs" "lion" "+")
The dog chases the lion.
("dog" "chases" "lion" "+")
The dog is big.
("dog" "is" "big" "+")
The dog sees the cat.
("dog" "sees" "cat" "+")
The lion is big.
("lion" "is" "big" "+")
The lion is not blue.
("lion" "is" "blue" "-")
The lion needs the cat.
("lion" "needs" "cat" "+")
If something needs the cat then it does not chase the cat.
((("something" "needs" "cat" "+")) -> ("something" "chases" "cat" "-"))
If something chases the bald eagle and the bald eagle sees the lion then the bald eagle is not green.
((("something" "chases" "bald eagle" "+") ("bald eagle" "sees" "lion" "+")) -> ("bald eagle" "is" "green" "-"))
If something is green then it needs the cat.
((("something" "is" "green" "+")) -> ("something" "needs" "cat" "+"))
If something needs the lion then it is kind.
((("something" "needs" "lion" "+")) -> ("something" "is" "kind" "+"))
Kind things are red.
((("something" "is" "kind" "+")) -> ("something" "is" "red" "+"))
If something needs the dog and it needs the lion then the dog sees the cat.
((("something" "needs" "dog" "+") ("something" "needs" "lion" "+")) -> ("dog" "sees" "cat" "+"))
If something needs the bald eagle then the bald eagle does not see the lion.
((("something" "needs" "bald eagle" "+")) -> ("bald eagle" "sees" "lion" "-"))
If something is red then it is green.
((("something" "is" "red" "+")) -> ("something" "is" "green" "+"))
If the dog is not kind and the dog is not big then the dog is blue.
((("dog" "is" "kind" "~") ("dog" "is" "big" "~")) -> ("dog" "is" "blue" "+"))
The bald eagle needs the lion.
True
1
proof
[(triple3)]
("bald eagle" "needs" "lion" "+")
triple3
The dog is not big.
False
1
inv-proof
[(triple7)]
("dog" "is" "big" "-")
triple7
The bald eagle is kind.
True
2
proof
[(((triple3) -> rule4))]
("bald eagle" "is" "kind" "+")
((triple3) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The cat is not kind.
False
2
inv-proof
[(((triple5) -> rule4))]
("cat" "is" "kind" "-")
((triple5) -> (rule4 % int1))
The cat is kind.
("cat" "is" "kind" "+")
int1
The bald eagle is red.
True
3
proof
[(((((triple3) -> rule4)) -> rule5))]
("bald eagle" "is" "red" "+")
((((triple3) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The bald eagle is not red.
False
3
inv-proof
[(((((triple3) -> rule4)) -> rule5))]
("bald eagle" "is" "red" "-")
((((triple3) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The cat is green.
True
4
proof
[(((((((triple5) -> rule4)) -> rule5)) -> rule8))]
("cat" "is" "green" "+")
((((((triple5) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule8 % int1))
The cat is green.
("cat" "is" "green" "+")
int1
The cat is red.
("cat" "is" "red" "+")
int2
The cat is kind.
("cat" "is" "kind" "+")
int3
The cat is not green.
False
4
inv-proof
[(((((((triple5) -> rule4)) -> rule5)) -> rule8))]
("cat" "is" "green" "-")
((((((triple5) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule8 % int1))
The cat is green.
("cat" "is" "green" "+")
int1
The cat is red.
("cat" "is" "red" "+")
int2
The cat is kind.
("cat" "is" "kind" "+")
int3
The cat needs the cat.
True
5
proof
[(((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3))]
("cat" "needs" "cat" "+")
((((((((triple5) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule8 % int2))) -> (rule3 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The cat is green.
("cat" "is" "green" "+")
int2
The cat is red.
("cat" "is" "red" "+")
int3
The cat is kind.
("cat" "is" "kind" "+")
int4
The cat does not need the cat.
False
5
inv-proof
[(((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3))]
("cat" "needs" "cat" "-")
((((((((triple5) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule8 % int2))) -> (rule3 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The cat is green.
("cat" "is" "green" "+")
int2
The cat is red.
("cat" "is" "red" "+")
int3
The cat is kind.
("cat" "is" "kind" "+")
int4
The cat does not chase the cat.
True
6
proof
[(((((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3)) -> rule1))]
("cat" "chases" "cat" "-")
((((((((((triple5) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cat does not chase the cat.
("cat" "chases" "cat" "-")
int1
The cat needs the cat.
("cat" "needs" "cat" "+")
int2
The cat is green.
("cat" "is" "green" "+")
int3
The cat is red.
("cat" "is" "red" "+")
int4
The cat is kind.
("cat" "is" "kind" "+")
int5
The cat chases the cat.
False
6
inv-proof
[(((((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3)) -> rule1))]
("cat" "chases" "cat" "+")
((((((((((triple5) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cat does not chase the cat.
("cat" "chases" "cat" "-")
int1
The cat needs the cat.
("cat" "needs" "cat" "+")
int2
The cat is green.
("cat" "is" "green" "+")
int3
The cat is red.
("cat" "is" "red" "+")
int4
The cat is kind.
("cat" "is" "kind" "+")
int5
The dog does not need the cat.
Unknown
inv-rconc
[@4: The dog needs the cat.[CWA. Example of deepest failure = (rule3 <- rule8 <- rule5 <- rule4 <- FAIL)]]
("dog" "needs" "cat" "-")
The dog is green.
Unknown
rconc
[@3: The dog is green.[CWA. Example of deepest failure = (rule8 <- rule5 <- rule4 <- FAIL)]]
("dog" "is" "green" "+")
The lion is not green.
Unknown
inv-rconc
[@3: The lion is green.[CWA. Example of deepest failure = (rule8 <- rule5 <- rule4 <- FAIL)]]
("lion" "is" "green" "-")
The lion is red.
Unknown
rconc
[@2: The lion is red.[CWA. Example of deepest failure = (rule5 <- rule4 <- FAIL)]]
("lion" "is" "red" "+")
The lion is not kind.
Unknown
inv-rconc
[@1: The lion is kind.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("lion" "is" "kind" "-")
The dog is kind.
Unknown
rconc
[@1: The dog is kind.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("dog" "is" "kind" "+")
The cat does not see the dog.
Unknown
inv-random
[@0: The cat sees the dog.[CWA. Example of deepest failure = (FAIL)]]
("cat" "sees" "dog" "-")
The cat sees the bald eagle.
Unknown
random
[@0: The cat sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cat" "sees" "bald eagle" "+")
The lion does not need the lion.
Unknown
inv-random
[@0: The lion needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "needs" "lion" "-")
The bald eagle sees the bald eagle.
Unknown
random
[@0: The bald eagle sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "bald eagle" "+")
The dog does not chase the cat.
Unknown
inv-random
[@0: The dog chases the cat.[CWA. Example of deepest failure = (FAIL)]]
("dog" "chases" "cat" "-")
The cat needs the bald eagle.
Unknown
random
[@0: The cat needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cat" "needs" "bald eagle" "+")
@0: The bald eagle is big.[(triple1)] The bald eagle is green.[(triple2 OR ((((((triple3) -> rule4)) -> rule5)) -> rule8))] The bald eagle needs the lion.[(triple3)] The bald eagle sees the dog.[(triple4)] The cat needs the lion.[(triple5)] The dog chases the lion.[(triple6)] The dog is big.[(triple7)] The dog sees the cat.[(triple8)] The lion is big.[(triple9)] The lion is not blue.[(triple10)] The lion needs the cat.[(triple11)] @1: The bald eagle is kind.[(((triple3) -> rule4))] The bald eagle needs the cat.[(((triple2) -> rule3) OR ((((((((triple3) -> rule4)) -> rule5)) -> rule8)) -> rule3))] The cat is kind.[(((triple5) -> rule4))] The lion does not chase the cat.[(((triple11) -> rule1))] @2: The bald eagle does not chase the cat.[(((((triple2) -> rule3)) -> rule1) OR ((((((((((triple3) -> rule4)) -> rule5)) -> rule8)) -> rule3)) -> rule1))] The bald eagle is red.[(((((triple3) -> rule4)) -> rule5))] The cat is red.[(((((triple5) -> rule4)) -> rule5))] @3: The cat is green.[(((((((triple5) -> rule4)) -> rule5)) -> rule8))] @4: The cat needs the cat.[(((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3))] @5: The cat does not chase the cat.[(((((((((((triple5) -> rule4)) -> rule5)) -> rule8)) -> rule3)) -> rule1))]
The bald eagle is big.
("bald eagle" "is" "big" "+")
triple1
The bald eagle is green.
("bald eagle" "is" "green" "+")
triple2
((((((triple3) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule8 % int1))
The bald eagle is green.
("bald eagle" "is" "green" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int3
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
triple3
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
triple4
The cat needs the lion.
("cat" "needs" "lion" "+")
triple5
The dog chases the lion.
("dog" "chases" "lion" "+")
triple6
The dog is big.
("dog" "is" "big" "+")
triple7
The dog sees the cat.
("dog" "sees" "cat" "+")
triple8
The lion is big.
("lion" "is" "big" "+")
triple9
The lion is not blue.
("lion" "is" "blue" "-")
triple10
The lion needs the cat.
("lion" "needs" "cat" "+")
triple11
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
((triple3) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
((triple2) -> (rule3 % int1))
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int1
((((((((triple3) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule8 % int2))) -> (rule3 % int1))
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int1
The bald eagle is green.
("bald eagle" "is" "green" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int4
The cat is kind.
("cat" "is" "kind" "+")
((triple5) -> (rule4 % int1))
The cat is kind.
("cat" "is" "kind" "+")
int1
The lion does not chase the cat.
("lion" "chases" "cat" "-")
((triple11) -> (rule1 % int1))
The lion does not chase the cat.
("lion" "chases" "cat" "-")
int1
The bald eagle does not chase the cat.
("bald eagle" "chases" "cat" "-")
((((triple2) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle does not chase the cat.
("bald eagle" "chases" "cat" "-")
int1
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int2
((((((((((triple3) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle does not chase the cat.
("bald eagle" "chases" "cat" "-")
int1
The bald eagle needs the cat.
("bald eagle" "needs" "cat" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
The bald eagle is red.
("bald eagle" "is" "red" "+")
int4
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int5
The bald eagle is red.
("bald eagle" "is" "red" "+")
((((triple3) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The cat is red.
("cat" "is" "red" "+")
((((triple5) -> (rule4 % int2))) -> (rule5 % int1))
The cat is red.
("cat" "is" "red" "+")
int1
The cat is kind.
("cat" "is" "kind" "+")
int2
The cat is green.
("cat" "is" "green" "+")
((((((triple5) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule8 % int1))
The cat is green.
("cat" "is" "green" "+")
int1
The cat is red.
("cat" "is" "red" "+")
int2
The cat is kind.
("cat" "is" "kind" "+")
int3
The cat needs the cat.
("cat" "needs" "cat" "+")
((((((((triple5) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule8 % int2))) -> (rule3 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The cat is green.
("cat" "is" "green" "+")
int2
The cat is red.
("cat" "is" "red" "+")
int3
The cat is kind.
("cat" "is" "kind" "+")
int4
The cat does not chase the cat.
("cat" "chases" "cat" "-")
((((((((((triple5) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cat does not chase the cat.
("cat" "chases" "cat" "-")
int1
The cat needs the cat.
("cat" "needs" "cat" "+")
int2
The cat is green.
("cat" "is" "green" "+")
int3
The cat is red.
("cat" "is" "red" "+")
int4
The cat is kind.
("cat" "is" "kind" "+")
int5