The bald eagle is nice. The cow needs the bald eagle. The lion eats the bald eagle. If something is blue then it does not need the cow. If the bald eagle sees the cow then the bald eagle is cold. If something needs the bald eagle then it sees the cow. If the cow needs the bald eagle and the bald eagle needs the cow then the bald eagle eats the lion. If the cow is cold then the cow does not see the lion. If something sees the cow then it is blue.
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
The lion eats the bald eagle.
("lion" "eats" "bald eagle" "+")
If something is blue then it does not need the cow.
((("something" "is" "blue" "+")) -> ("something" "needs" "cow" "-"))
If the bald eagle sees the cow then the bald eagle is cold.
((("bald eagle" "sees" "cow" "+")) -> ("bald eagle" "is" "cold" "+"))
If something needs the bald eagle then it sees the cow.
((("something" "needs" "bald eagle" "+")) -> ("something" "sees" "cow" "+"))
If the cow needs the bald eagle and the bald eagle needs the cow then the bald eagle eats the lion.
((("cow" "needs" "bald eagle" "+") ("bald eagle" "needs" "cow" "+")) -> ("bald eagle" "eats" "lion" "+"))
If the cow is cold then the cow does not see the lion.
((("cow" "is" "cold" "+")) -> ("cow" "sees" "lion" "-"))
If something sees the cow then it is blue.
((("something" "sees" "cow" "+")) -> ("something" "is" "blue" "+"))
The lion eats the bald eagle.
True
1
proof
[(triple3)]
("lion" "eats" "bald eagle" "+")
triple3
The cow does not need the bald eagle.
False
1
inv-proof
[(triple2)]
("cow" "needs" "bald eagle" "-")
triple2
The cow sees the cow.
True
2
proof
[(((triple2) -> rule3))]
("cow" "sees" "cow" "+")
((triple2) -> (rule3 % int1))
The cow sees the cow.
("cow" "sees" "cow" "+")
int1
The cow does not see the cow.
False
2
inv-proof
[(((triple2) -> rule3))]
("cow" "sees" "cow" "-")
((triple2) -> (rule3 % int1))
The cow sees the cow.
("cow" "sees" "cow" "+")
int1
The cow is blue.
True
3
proof
[(((((triple2) -> rule3)) -> rule6))]
("cow" "is" "blue" "+")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cow is blue.
("cow" "is" "blue" "+")
int1
The cow sees the cow.
("cow" "sees" "cow" "+")
int2
The cow is not blue.
False
3
inv-proof
[(((((triple2) -> rule3)) -> rule6))]
("cow" "is" "blue" "-")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cow is blue.
("cow" "is" "blue" "+")
int1
The cow sees the cow.
("cow" "sees" "cow" "+")
int2
The cow does not need the cow.
True
4
proof
[(((((((triple2) -> rule3)) -> rule6)) -> rule1))]
("cow" "needs" "cow" "-")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The cow does not need the cow.
("cow" "needs" "cow" "-")
int1
The cow is blue.
("cow" "is" "blue" "+")
int2
The cow sees the cow.
("cow" "sees" "cow" "+")
int3
The cow needs the cow.
False
4
inv-proof
[(((((((triple2) -> rule3)) -> rule6)) -> rule1))]
("cow" "needs" "cow" "+")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The cow does not need the cow.
("cow" "needs" "cow" "-")
int1
The cow is blue.
("cow" "is" "blue" "+")
int2
The cow sees the cow.
("cow" "sees" "cow" "+")
int3
The bald eagle does not eat the lion.
Unknown
inv-rconc
[@1: The bald eagle eats the lion.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bald eagle" "eats" "lion" "-")
The bald eagle is cold.
Unknown
rconc
[@2: The bald eagle is cold.[CWA. Example of deepest failure = (rule2 <- rule3 <- FAIL)]]
("bald eagle" "is" "cold" "+")
The bald eagle is not blue.
Unknown
inv-rconc
[@2: The bald eagle is blue.[CWA. Example of deepest failure = (rule6 <- rule3 <- FAIL)]]
("bald eagle" "is" "blue" "-")
The lion is blue.
Unknown
rconc
[@2: The lion is blue.[CWA. Example of deepest failure = (rule6 <- rule3 <- FAIL)]]
("lion" "is" "blue" "+")
The cow does not see the bald eagle.
Unknown
inv-random
[@0: The cow sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cow" "sees" "bald eagle" "-")
The lion is green.
Unknown
random
[@0: The lion is green.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "green" "+")
The cow is not green.
Unknown
inv-random
[@0: The cow is green.[CWA. Example of deepest failure = (FAIL)]]
("cow" "is" "green" "-")
The lion is nice.
Unknown
random
[@0: The lion is nice.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "nice" "+")
@0: The bald eagle is nice.[(triple1)] The cow needs the bald eagle.[(triple2)] The lion eats the bald eagle.[(triple3)] @1: The cow sees the cow.[(((triple2) -> rule3))] @2: The cow is blue.[(((((triple2) -> rule3)) -> rule6))] @3: The cow does not need the cow.[(((((((triple2) -> rule3)) -> rule6)) -> rule1))]
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
triple1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
triple2
The lion eats the bald eagle.
("lion" "eats" "bald eagle" "+")
triple3
The cow sees the cow.
("cow" "sees" "cow" "+")
((triple2) -> (rule3 % int1))
The cow sees the cow.
("cow" "sees" "cow" "+")
int1
The cow is blue.
("cow" "is" "blue" "+")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cow is blue.
("cow" "is" "blue" "+")
int1
The cow sees the cow.
("cow" "sees" "cow" "+")
int2
The cow does not need the cow.
("cow" "needs" "cow" "-")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule1 % int1))
The cow does not need the cow.
("cow" "needs" "cow" "-")
int1
The cow is blue.
("cow" "is" "blue" "+")
int2
The cow sees the cow.
("cow" "sees" "cow" "+")
int3