The bald eagle is not cold. The bald eagle is not round. The bald eagle needs the cow. The bald eagle sees the dog. The cow is green. The cow sees the bald eagle. The cow sees the dog. The cow visits the bald eagle. The dog is cold. The dog is round. The dog does not need the bald eagle. The dog does not need the cow. All round people are cold. If the dog is red and the dog does not visit the cow then the cow is not red. If the cow is big then the cow needs the bald eagle. If someone visits the bald eagle then they are big. If someone is round and they do not visit the cow then they are big. If someone sees the bald eagle and they do not see the dog then the dog does not see the bald eagle. If someone needs the bald eagle then they are not round. If someone is big then they need the cow.
The bald eagle is not cold.
("bald eagle" "is" "cold" "-")
The bald eagle is not round.
("bald eagle" "is" "round" "-")
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
The cow is green.
("cow" "is" "green" "+")
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
The cow sees the dog.
("cow" "sees" "dog" "+")
The cow visits the bald eagle.
("cow" "visits" "bald eagle" "+")
The dog is cold.
("dog" "is" "cold" "+")
The dog is round.
("dog" "is" "round" "+")
The dog does not need the bald eagle.
("dog" "needs" "bald eagle" "-")
The dog does not need the cow.
("dog" "needs" "cow" "-")
All round people are cold.
((("someone" "is" "round" "+")) -> ("someone" "is" "cold" "+"))
If the dog is red and the dog does not visit the cow then the cow is not red.
((("dog" "is" "red" "+") ("dog" "visits" "cow" "~")) -> ("cow" "is" "red" "-"))
If the cow is big then the cow needs the bald eagle.
((("cow" "is" "big" "+")) -> ("cow" "needs" "bald eagle" "+"))
If someone visits the bald eagle then they are big.
((("someone" "visits" "bald eagle" "+")) -> ("someone" "is" "big" "+"))
If someone is round and they do not visit the cow then they are big.
((("someone" "is" "round" "+") ("someone" "visits" "cow" "~")) -> ("someone" "is" "big" "+"))
If someone sees the bald eagle and they do not see the dog then the dog does not see the bald eagle.
((("someone" "sees" "bald eagle" "+") ("someone" "sees" "dog" "~")) -> ("dog" "sees" "bald eagle" "-"))
If someone needs the bald eagle then they are not round.
((("someone" "needs" "bald eagle" "+")) -> ("someone" "is" "round" "-"))
If someone is big then they need the cow.
((("someone" "is" "big" "+")) -> ("someone" "needs" "cow" "+"))
The bald eagle is not cold.
True
1
proof
[(triple1)]
("bald eagle" "is" "cold" "-")
triple1
The cow does not visit the bald eagle.
False
1
inv-proof
[(triple8)]
("cow" "visits" "bald eagle" "-")
triple8
The cow is big.
True
2
proof
[(((triple8) -> rule4))]
("cow" "is" "big" "+")
((triple8) -> (rule4 % int1))
The cow is big.
("cow" "is" "big" "+")
int1
The cow is not big.
False
2
inv-proof
[(((triple8) -> rule4))]
("cow" "is" "big" "-")
((triple8) -> (rule4 % int1))
The cow is big.
("cow" "is" "big" "+")
int1
The cow needs the bald eagle.
True
3
proof
[(((((triple8) -> rule4)) -> rule3))]
("cow" "needs" "bald eagle" "+")
((((triple8) -> (rule4 % int2))) -> (rule3 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow is big.
("cow" "is" "big" "+")
int2
The cow does not need the cow.
False
3
inv-proof
[(((((triple8) -> rule4)) -> rule8))]
("cow" "needs" "cow" "-")
((((triple8) -> (rule4 % int2))) -> (rule8 % int1))
The cow needs the cow.
("cow" "needs" "cow" "+")
int1
The cow is big.
("cow" "is" "big" "+")
int2
The cow is not round.
True
4
proof
[(((((((triple8) -> rule4)) -> rule3)) -> rule7))]
("cow" "is" "round" "-")
((((((triple8) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The cow is not round.
("cow" "is" "round" "-")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow is big.
("cow" "is" "big" "+")
int3
The cow is round.
False
4
inv-proof
[(((((((triple8) -> rule4)) -> rule3)) -> rule7))]
("cow" "is" "round" "+")
((((((triple8) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The cow is not round.
("cow" "is" "round" "-")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow is big.
("cow" "is" "big" "+")
int3
The dog is not big.
Unknown
inv-rconc
[@1: The dog is big.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("dog" "is" "big" "-")
The cow is cold.
Unknown
rconc
[@1: The cow is cold.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cow" "is" "cold" "+")
The bald eagle is not big.
Unknown
inv-rconc
[@1: The bald eagle is big.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bald eagle" "is" "big" "-")
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 cow does not visit the cow.
Unknown
inv-random
[@0: The cow visits the cow.[CWA. Example of deepest failure = (FAIL)]]
("cow" "visits" "cow" "-")
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 dog does not see the cow.
Unknown
inv-random
[@0: The dog sees the cow.[CWA. Example of deepest failure = (FAIL)]]
("dog" "sees" "cow" "-")
The bald eagle sees the cow.
Unknown
random
[@0: The bald eagle sees the cow.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "cow" "+")
@0: The bald eagle is not cold.[(triple1)] The bald eagle is not round.[(triple2)] The bald eagle needs the cow.[(triple3)] The bald eagle sees the dog.[(triple4)] The cow is green.[(triple5)] The cow sees the bald eagle.[(triple6)] The cow sees the dog.[(triple7)] The cow visits the bald eagle.[(triple8)] The dog does not need the bald eagle.[(triple11)] The dog does not need the cow.[(triple12)] The dog is cold.[(triple9 OR ((triple10) -> rule1))] The dog is round.[(triple10)] @1: The cow is big.[(((triple8) -> rule4))] @2: The cow needs the bald eagle.[(((((triple8) -> rule4)) -> rule3))] The cow needs the cow.[(((((triple8) -> rule4)) -> rule8))] @3: The cow is not round.[(((((((triple8) -> rule4)) -> rule3)) -> rule7))]
The bald eagle is not cold.
("bald eagle" "is" "cold" "-")
triple1
The bald eagle is not round.
("bald eagle" "is" "round" "-")
triple2
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
triple3
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
triple4
The cow is green.
("cow" "is" "green" "+")
triple5
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
triple6
The cow sees the dog.
("cow" "sees" "dog" "+")
triple7
The cow visits the bald eagle.
("cow" "visits" "bald eagle" "+")
triple8
The dog does not need the bald eagle.
("dog" "needs" "bald eagle" "-")
triple11
The dog does not need the cow.
("dog" "needs" "cow" "-")
triple12
The dog is cold.
("dog" "is" "cold" "+")
triple9
((triple10) -> (rule1 % int1))
The dog is cold.
("dog" "is" "cold" "+")
int1
The dog is round.
("dog" "is" "round" "+")
triple10
The cow is big.
("cow" "is" "big" "+")
((triple8) -> (rule4 % int1))
The cow is big.
("cow" "is" "big" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
((((triple8) -> (rule4 % int2))) -> (rule3 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow is big.
("cow" "is" "big" "+")
int2
The cow needs the cow.
("cow" "needs" "cow" "+")
((((triple8) -> (rule4 % int2))) -> (rule8 % int1))
The cow needs the cow.
("cow" "needs" "cow" "+")
int1
The cow is big.
("cow" "is" "big" "+")
int2
The cow is not round.
("cow" "is" "round" "-")
((((((triple8) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The cow is not round.
("cow" "is" "round" "-")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow is big.
("cow" "is" "big" "+")
int3