The bald eagle needs the rabbit. The bald eagle sees the rabbit. The rabbit needs the bald eagle. If someone eats the rabbit then they are big. If someone is red then they see the bald eagle. If someone needs the bald eagle then they see the bald eagle. If someone sees the rabbit then the rabbit sees the bald eagle. If the rabbit sees the bald eagle and the bald eagle sees the rabbit then the bald eagle eats the rabbit. If someone sees the bald eagle and the bald eagle is blue then they need the rabbit.
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
The bald eagle sees the rabbit.
("bald eagle" "sees" "rabbit" "+")
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
If someone eats the rabbit then they are big.
((("someone" "eats" "rabbit" "+")) -> ("someone" "is" "big" "+"))
If someone is red then they see the bald eagle.
((("someone" "is" "red" "+")) -> ("someone" "sees" "bald eagle" "+"))
If someone needs the bald eagle then they see the bald eagle.
((("someone" "needs" "bald eagle" "+")) -> ("someone" "sees" "bald eagle" "+"))
If someone sees the rabbit then the rabbit sees the bald eagle.
((("someone" "sees" "rabbit" "+")) -> ("rabbit" "sees" "bald eagle" "+"))
If the rabbit sees the bald eagle and the bald eagle sees the rabbit then the bald eagle eats the rabbit.
((("rabbit" "sees" "bald eagle" "+") ("bald eagle" "sees" "rabbit" "+")) -> ("bald eagle" "eats" "rabbit" "+"))
If someone sees the bald eagle and the bald eagle is blue then they need the rabbit.
((("someone" "sees" "bald eagle" "+") ("bald eagle" "is" "blue" "+")) -> ("someone" "needs" "rabbit" "+"))
The bald eagle needs the rabbit.
True
1
proof
[(triple1)]
("bald eagle" "needs" "rabbit" "+")
triple1
The bald eagle does not see the rabbit.
False
1
inv-proof
[(triple2)]
("bald eagle" "sees" "rabbit" "-")
triple2
The rabbit sees the bald eagle.
True
2
proof
[(((triple2) -> rule4) OR ((triple3) -> rule3))]
("rabbit" "sees" "bald eagle" "+")
((triple2) -> (rule4 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
((triple3) -> (rule3 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
The rabbit does not see the bald eagle.
False
2
inv-proof
[(((triple2) -> rule4) OR ((triple3) -> rule3))]
("rabbit" "sees" "bald eagle" "-")
((triple2) -> (rule4 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
((triple3) -> (rule3 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
The bald eagle eats the rabbit.
True
4
proof
[(((((triple2) -> rule4) triple2) -> rule5) OR ((((triple3) -> rule3) triple2) -> rule5))]
("bald eagle" "eats" "rabbit" "+")
((((triple2) -> (rule4 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
((((triple3) -> (rule3 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
The bald eagle does not eat the rabbit.
False
4
inv-proof
[(((((triple2) -> rule4) triple2) -> rule5) OR ((((triple3) -> rule3) triple2) -> rule5))]
("bald eagle" "eats" "rabbit" "-")
((((triple2) -> (rule4 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
((((triple3) -> (rule3 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
The bald eagle is big.
True
5
proof
[(((((((triple2) -> rule4) triple2) -> rule5)) -> rule1) OR ((((((triple3) -> rule3) triple2) -> rule5)) -> rule1))]
("bald eagle" "is" "big" "+")
((((((triple2) -> (rule4 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3
((((((triple3) -> (rule3 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3
The bald eagle is not big.
False
5
inv-proof
[(((((((triple2) -> rule4) triple2) -> rule5)) -> rule1) OR ((((((triple3) -> rule3) triple2) -> rule5)) -> rule1))]
("bald eagle" "is" "big" "-")
((((((triple2) -> (rule4 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3
((((((triple3) -> (rule3 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3
The bald eagle does not see the bald eagle.
Unknown
inv-rconc
[@1: The bald eagle sees the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("bald eagle" "sees" "bald eagle" "-")
The rabbit is big.
Unknown
rconc
[@1: The rabbit is big.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("rabbit" "is" "big" "+")
The rabbit does not need the rabbit.
Unknown
inv-rconc
[@1: The rabbit needs the rabbit.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("rabbit" "needs" "rabbit" "-")
The bald eagle is blue.
Unknown
random
[@0: The bald eagle is blue.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "blue" "+")
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 kind.
Unknown
random
[@0: The bald eagle is kind.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "kind" "+")
The rabbit is not kind.
Unknown
inv-random
[@0: The rabbit is kind.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "is" "kind" "-")
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" "+")
@0: The bald eagle needs the rabbit.[(triple1)] The bald eagle sees the rabbit.[(triple2)] The rabbit needs the bald eagle.[(triple3)] @1: The rabbit sees the bald eagle.[(((triple2) -> rule4) OR ((triple3) -> rule3))] @2: The bald eagle eats the rabbit.[(((((triple2) -> rule4) triple2) -> rule5) OR ((((triple3) -> rule3) triple2) -> rule5))] @3: The bald eagle is big.[(((((((triple2) -> rule4) triple2) -> rule5)) -> rule1) OR ((((((triple3) -> rule3) triple2) -> rule5)) -> rule1))]
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
triple1
The bald eagle sees the rabbit.
("bald eagle" "sees" "rabbit" "+")
triple2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
triple3
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
((triple2) -> (rule4 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
((triple3) -> (rule3 % int1))
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
((((triple2) -> (rule4 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
((((triple3) -> (rule3 % int2)) triple2) -> (rule5 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int2
The bald eagle is big.
("bald eagle" "is" "big" "+")
((((((triple2) -> (rule4 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3
((((((triple3) -> (rule3 % int3)) triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is big.
("bald eagle" "is" "big" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
int3