The bald eagle is cold. The cat chases the rabbit. The cat is young. The cat sees the bald eagle. The cat sees the rabbit. The cat visits the bald eagle. The cat visits the rabbit. The mouse chases the bald eagle. The mouse is kind. The mouse is young. The mouse visits the cat. The rabbit chases the cat. The rabbit is nice. The rabbit is young. The rabbit sees the bald eagle. If something is young and cold then it visits the rabbit. If the mouse is nice then the mouse is cold. If something is red then it sees the bald eagle. If something sees the rabbit then it sees the cat. All cold things are red. If something sees the bald eagle then it sees the cat.
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
The cat chases the rabbit.
("cat" "chases" "rabbit" "+")
The cat is young.
("cat" "is" "young" "+")
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
The cat sees the rabbit.
("cat" "sees" "rabbit" "+")
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
The cat visits the rabbit.
("cat" "visits" "rabbit" "+")
The mouse chases the bald eagle.
("mouse" "chases" "bald eagle" "+")
The mouse is kind.
("mouse" "is" "kind" "+")
The mouse is young.
("mouse" "is" "young" "+")
The mouse visits the cat.
("mouse" "visits" "cat" "+")
The rabbit chases the cat.
("rabbit" "chases" "cat" "+")
The rabbit is nice.
("rabbit" "is" "nice" "+")
The rabbit is young.
("rabbit" "is" "young" "+")
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
If something is young and cold then it visits the rabbit.
((("something" "is" "young" "+") ("something" "is" "cold" "+")) -> ("something" "visits" "rabbit" "+"))
If the mouse is nice then the mouse is cold.
((("mouse" "is" "nice" "+")) -> ("mouse" "is" "cold" "+"))
If something is red then it sees the bald eagle.
((("something" "is" "red" "+")) -> ("something" "sees" "bald eagle" "+"))
If something sees the rabbit then it sees the cat.
((("something" "sees" "rabbit" "+")) -> ("something" "sees" "cat" "+"))
All cold things are red.
((("something" "is" "cold" "+")) -> ("something" "is" "red" "+"))
If something sees the bald eagle then it sees the cat.
((("something" "sees" "bald eagle" "+")) -> ("something" "sees" "cat" "+"))
The bald eagle is cold.
True
1
proof
[(triple1)]
("bald eagle" "is" "cold" "+")
triple1
The rabbit is not young.
False
1
inv-proof
[(triple14)]
("rabbit" "is" "young" "-")
triple14
The rabbit sees the cat.
True
2
proof
[(((triple15) -> rule6))]
("rabbit" "sees" "cat" "+")
((triple15) -> (rule6 % int1))
The rabbit sees the cat.
("rabbit" "sees" "cat" "+")
int1
The cat does not see the cat.
False
2
inv-proof
[(((triple4) -> rule6) OR ((triple5) -> rule4))]
("cat" "sees" "cat" "-")
((triple4) -> (rule6 % int1))
The cat sees the cat.
("cat" "sees" "cat" "+")
int1
((triple5) -> (rule4 % int1))
The cat sees the cat.
("cat" "sees" "cat" "+")
int1
The bald eagle sees the bald eagle.
True
3
proof
[(((((triple1) -> rule5)) -> rule3))]
("bald eagle" "sees" "bald eagle" "+")
((((triple1) -> (rule5 % int2))) -> (rule3 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The bald eagle does not see the bald eagle.
False
3
inv-proof
[(((((triple1) -> rule5)) -> rule3))]
("bald eagle" "sees" "bald eagle" "-")
((((triple1) -> (rule5 % int2))) -> (rule3 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The bald eagle sees the cat.
True
4
proof
[(((((((triple1) -> rule5)) -> rule3)) -> rule6))]
("bald eagle" "sees" "cat" "+")
((((((triple1) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3
The bald eagle does not see the cat.
False
4
inv-proof
[(((((((triple1) -> rule5)) -> rule3)) -> rule6))]
("bald eagle" "sees" "cat" "-")
((((((triple1) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3
The mouse does not visit the rabbit.
Unknown
inv-rconc
[@2: The mouse visits the rabbit.[CWA. Example of deepest failure = (rule1 <- rule2 <- FAIL)]]
("mouse" "visits" "rabbit" "-")
The rabbit visits the rabbit.
Unknown
rconc
[@1: The rabbit visits the rabbit.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("rabbit" "visits" "rabbit" "+")
The mouse is not cold.
Unknown
inv-rconc
[@1: The mouse is cold.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("mouse" "is" "cold" "-")
The rabbit is red.
Unknown
rconc
[@1: The rabbit is red.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("rabbit" "is" "red" "+")
The bald eagle is not kind.
Unknown
inv-random
[@0: The bald eagle is kind.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "kind" "-")
The bald eagle visits the bald eagle.
Unknown
random
[@0: The bald eagle visits the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "bald eagle" "+")
The rabbit does not chase the mouse.
Unknown
inv-random
[@0: The rabbit chases the mouse.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "chases" "mouse" "-")
The bald eagle sees the mouse.
Unknown
random
[@0: The bald eagle sees the mouse.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "mouse" "+")
@0: The bald eagle is cold.[(triple1)] The cat chases the rabbit.[(triple2)] The cat is young.[(triple3)] The cat sees the bald eagle.[(triple4)] The cat sees the rabbit.[(triple5)] The cat visits the bald eagle.[(triple6)] The cat visits the rabbit.[(triple7)] The mouse chases the bald eagle.[(triple8)] The mouse is kind.[(triple9)] The mouse is young.[(triple10)] The mouse visits the cat.[(triple11)] The rabbit chases the cat.[(triple12)] The rabbit is nice.[(triple13)] The rabbit is young.[(triple14)] The rabbit sees the bald eagle.[(triple15)] @1: The bald eagle is red.[(((triple1) -> rule5))] The cat sees the cat.[(((triple4) -> rule6) OR ((triple5) -> rule4))] The rabbit sees the cat.[(((triple15) -> rule6))] @2: The bald eagle sees the bald eagle.[(((((triple1) -> rule5)) -> rule3))] @3: The bald eagle sees the cat.[(((((((triple1) -> rule5)) -> rule3)) -> rule6))]
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
triple1
The cat chases the rabbit.
("cat" "chases" "rabbit" "+")
triple2
The cat is young.
("cat" "is" "young" "+")
triple3
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
triple4
The cat sees the rabbit.
("cat" "sees" "rabbit" "+")
triple5
The cat visits the bald eagle.
("cat" "visits" "bald eagle" "+")
triple6
The cat visits the rabbit.
("cat" "visits" "rabbit" "+")
triple7
The mouse chases the bald eagle.
("mouse" "chases" "bald eagle" "+")
triple8
The mouse is kind.
("mouse" "is" "kind" "+")
triple9
The mouse is young.
("mouse" "is" "young" "+")
triple10
The mouse visits the cat.
("mouse" "visits" "cat" "+")
triple11
The rabbit chases the cat.
("rabbit" "chases" "cat" "+")
triple12
The rabbit is nice.
("rabbit" "is" "nice" "+")
triple13
The rabbit is young.
("rabbit" "is" "young" "+")
triple14
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
triple15
The bald eagle is red.
("bald eagle" "is" "red" "+")
((triple1) -> (rule5 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cat sees the cat.
("cat" "sees" "cat" "+")
((triple4) -> (rule6 % int1))
The cat sees the cat.
("cat" "sees" "cat" "+")
int1
((triple5) -> (rule4 % int1))
The cat sees the cat.
("cat" "sees" "cat" "+")
int1
The rabbit sees the cat.
("rabbit" "sees" "cat" "+")
((triple15) -> (rule6 % int1))
The rabbit sees the cat.
("rabbit" "sees" "cat" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
((((triple1) -> (rule5 % int2))) -> (rule3 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The bald eagle is red.
("bald eagle" "is" "red" "+")
int2
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
((((((triple1) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule6 % int1))
The bald eagle sees the cat.
("bald eagle" "sees" "cat" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle is red.
("bald eagle" "is" "red" "+")
int3