The bald eagle eats the rabbit. The bald eagle is cold. The bald eagle does not need the rabbit. The rabbit eats the bald eagle. The rabbit is blue. The rabbit is cold. The rabbit is kind. The rabbit is rough. The rabbit is round. The rabbit needs the bald eagle. If the bald eagle is rough and the bald eagle visits the rabbit then the bald eagle does not eat the rabbit. If the rabbit eats the bald eagle then the bald eagle eats the rabbit. If something eats the rabbit then it visits the bald eagle. If something visits the bald eagle and the bald eagle visits the rabbit then it is kind. If the bald eagle is kind then the bald eagle is round. If something visits the bald eagle then it visits the rabbit.
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
The bald eagle does not need the rabbit.
("bald eagle" "needs" "rabbit" "-")
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
The rabbit is blue.
("rabbit" "is" "blue" "+")
The rabbit is cold.
("rabbit" "is" "cold" "+")
The rabbit is kind.
("rabbit" "is" "kind" "+")
The rabbit is rough.
("rabbit" "is" "rough" "+")
The rabbit is round.
("rabbit" "is" "round" "+")
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
If the bald eagle is rough and the bald eagle visits the rabbit then the bald eagle does not eat the rabbit.
((("bald eagle" "is" "rough" "+") ("bald eagle" "visits" "rabbit" "+")) -> ("bald eagle" "eats" "rabbit" "-"))
If the rabbit eats the bald eagle then the bald eagle eats the rabbit.
((("rabbit" "eats" "bald eagle" "+")) -> ("bald eagle" "eats" "rabbit" "+"))
If something eats the rabbit then it visits the bald eagle.
((("something" "eats" "rabbit" "+")) -> ("something" "visits" "bald eagle" "+"))
If something visits the bald eagle and the bald eagle visits the rabbit then it is kind.
((("something" "visits" "bald eagle" "+") ("bald eagle" "visits" "rabbit" "+")) -> ("something" "is" "kind" "+"))
If the bald eagle is kind then the bald eagle is round.
((("bald eagle" "is" "kind" "+")) -> ("bald eagle" "is" "round" "+"))
If something visits the bald eagle then it visits the rabbit.
((("something" "visits" "bald eagle" "+")) -> ("something" "visits" "rabbit" "+"))
The bald eagle does not need the rabbit.
True
1
proof
[(triple3)]
("bald eagle" "needs" "rabbit" "-")
triple3
The rabbit is not round.
False
1
inv-proof
[(triple9)]
("rabbit" "is" "round" "-")
triple9
The bald eagle visits the bald eagle.
True
2
proof
[(((triple1) -> rule3) OR ((((triple4) -> rule2)) -> rule3))]
("bald eagle" "visits" "bald eagle" "+")
((triple1) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
((((triple4) -> (rule2 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The bald eagle does not visit the bald eagle.
False
2
inv-proof
[(((triple1) -> rule3) OR ((((triple4) -> rule2)) -> rule3))]
("bald eagle" "visits" "bald eagle" "-")
((triple1) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
((((triple4) -> (rule2 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The bald eagle visits the rabbit.
True
3
proof
[(((((triple1) -> rule3)) -> rule6) OR ((((((triple4) -> rule2)) -> rule3)) -> rule6))]
("bald eagle" "visits" "rabbit" "+")
((((triple1) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
((((((triple4) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle does not visit the rabbit.
False
3
inv-proof
[(((((triple1) -> rule3)) -> rule6) OR ((((((triple4) -> rule2)) -> rule3)) -> rule6))]
("bald eagle" "visits" "rabbit" "-")
((((triple1) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
((((((triple4) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle is kind.
True
6
proof
[(((((triple1) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((triple1) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4))]
("bald eagle" "is" "kind" "+")
((((triple1) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
((((triple1) -> (rule3 % int4)) ((((((triple4) -> (rule2 % int3))) -> (rule3 % int4))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((((triple4) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The bald eagle is not kind.
False
6
inv-proof
[(((((triple1) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((triple1) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4))]
("bald eagle" "is" "kind" "-")
((((triple1) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
((((triple1) -> (rule3 % int4)) ((((((triple4) -> (rule2 % int3))) -> (rule3 % int4))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((((triple4) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The rabbit does not visit the rabbit.
Unknown
inv-rconc
[@2: The rabbit visits the rabbit.[CWA. Example of deepest failure = (rule6 <- rule3 <- FAIL)]]
("rabbit" "visits" "rabbit" "-")
The rabbit visits the bald eagle.
Unknown
rconc
[@1: The rabbit visits the bald eagle.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("rabbit" "visits" "bald eagle" "+")
The bald eagle does not need the bald eagle.
Unknown
inv-random
[@0: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "bald eagle" "-")
The bald eagle eats the bald eagle.
Unknown
random
[@0: The bald eagle eats the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "eats" "bald eagle" "+")
The rabbit does not need the rabbit.
Unknown
inv-random
[@0: The rabbit needs the rabbit.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "needs" "rabbit" "-")
The bald eagle is rough.
Unknown
random
[@0: The bald eagle is rough.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "rough" "+")
The rabbit does not eat the rabbit.
Unknown
inv-random
[@0: The rabbit eats the rabbit.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "eats" "rabbit" "-")
The bald eagle is blue.
Unknown
random
[@0: The bald eagle is blue.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "blue" "+")
@0: The bald eagle does not need the rabbit.[(triple3)] The bald eagle eats the rabbit.[(triple1 OR ((triple4) -> rule2))] The bald eagle is cold.[(triple2)] The rabbit eats the bald eagle.[(triple4)] The rabbit is blue.[(triple5)] The rabbit is cold.[(triple6)] The rabbit is kind.[(triple7)] The rabbit is rough.[(triple8)] The rabbit is round.[(triple9)] The rabbit needs the bald eagle.[(triple10)] @1: The bald eagle visits the bald eagle.[(((triple1) -> rule3) OR ((((triple4) -> rule2)) -> rule3))] @2: The bald eagle visits the rabbit.[(((((triple1) -> rule3)) -> rule6) OR ((((((triple4) -> rule2)) -> rule3)) -> rule6))] @3: The bald eagle is kind.[(((((triple1) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4) OR ((((triple1) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4) OR ((((((triple4) -> rule2)) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4))] @4: The bald eagle is round.[(((((((triple1) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4)) -> rule5) OR ((((((((triple4) -> rule2)) -> rule3) ((((triple1) -> rule3)) -> rule6)) -> rule4)) -> rule5) OR ((((((triple1) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4)) -> rule5) OR ((((((((triple4) -> rule2)) -> rule3) ((((((triple4) -> rule2)) -> rule3)) -> rule6)) -> rule4)) -> rule5))]
The bald eagle does not need the rabbit.
("bald eagle" "needs" "rabbit" "-")
triple3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
triple1
((triple4) -> (rule2 % int1))
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
triple2
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
triple4
The rabbit is blue.
("rabbit" "is" "blue" "+")
triple5
The rabbit is cold.
("rabbit" "is" "cold" "+")
triple6
The rabbit is kind.
("rabbit" "is" "kind" "+")
triple7
The rabbit is rough.
("rabbit" "is" "rough" "+")
triple8
The rabbit is round.
("rabbit" "is" "round" "+")
triple9
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
triple10
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
((triple1) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
((((triple4) -> (rule2 % int2))) -> (rule3 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
((((triple1) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
((((((triple4) -> (rule2 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
((((triple1) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((triple1) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
((((triple1) -> (rule3 % int4)) ((((((triple4) -> (rule2 % int3))) -> (rule3 % int4))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
((((((triple4) -> (rule2 % int4))) -> (rule3 % int3)) ((((((triple4) -> (rule2 % int4))) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int1
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int2
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The bald eagle is round.
("bald eagle" "is" "round" "+")
((((((triple1) -> (rule3 % int4)) ((((triple1) -> (rule3 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is round.
("bald eagle" "is" "round" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
((((((((triple4) -> (rule2 % int5))) -> (rule3 % int4)) ((((triple1) -> (rule3 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is round.
("bald eagle" "is" "round" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int5
((((((triple1) -> (rule3 % int5)) ((((((triple4) -> (rule2 % int4))) -> (rule3 % int5))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is round.
("bald eagle" "is" "round" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int3
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int4
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int5
((((((((triple4) -> (rule2 % int5))) -> (rule3 % int4)) ((((((triple4) -> (rule2 % int5))) -> (rule3 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle is round.
("bald eagle" "is" "round" "+")
int1
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
int2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int3
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int4
The bald eagle eats the rabbit.
("bald eagle" "eats" "rabbit" "+")
int5