The bald eagle needs the squirrel. The lion eats the squirrel. The lion is young. The mouse needs the lion. The squirrel eats the bald eagle. The squirrel is blue. The squirrel needs the lion. If someone needs the squirrel and the squirrel needs the bald eagle then the bald eagle is young. If someone eats the bald eagle and the bald eagle chases the squirrel then they chase the mouse. If the bald eagle needs the squirrel then the squirrel needs the bald eagle. If someone eats the mouse and the mouse is kind then the mouse chases the squirrel. If someone chases the mouse and they eat the lion then the lion chases the mouse. If someone is young then they chase the bald eagle.
The bald eagle needs the squirrel.
("bald eagle" "needs" "squirrel" "+")
The lion eats the squirrel.
("lion" "eats" "squirrel" "+")
The lion is young.
("lion" "is" "young" "+")
The mouse needs the lion.
("mouse" "needs" "lion" "+")
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
The squirrel is blue.
("squirrel" "is" "blue" "+")
The squirrel needs the lion.
("squirrel" "needs" "lion" "+")
If someone needs the squirrel and the squirrel needs the bald eagle then the bald eagle is young.
((("someone" "needs" "squirrel" "+") ("squirrel" "needs" "bald eagle" "+")) -> ("bald eagle" "is" "young" "+"))
If someone eats the bald eagle and the bald eagle chases the squirrel then they chase the mouse.
((("someone" "eats" "bald eagle" "+") ("bald eagle" "chases" "squirrel" "+")) -> ("someone" "chases" "mouse" "+"))
If the bald eagle needs the squirrel then the squirrel needs the bald eagle.
((("bald eagle" "needs" "squirrel" "+")) -> ("squirrel" "needs" "bald eagle" "+"))
If someone eats the mouse and the mouse is kind then the mouse chases the squirrel.
((("someone" "eats" "mouse" "+") ("mouse" "is" "kind" "+")) -> ("mouse" "chases" "squirrel" "+"))
If someone chases the mouse and they eat the lion then the lion chases the mouse.
((("someone" "chases" "mouse" "+") ("someone" "eats" "lion" "+")) -> ("lion" "chases" "mouse" "+"))
If someone is young then they chase the bald eagle.
((("someone" "is" "young" "+")) -> ("someone" "chases" "bald eagle" "+"))
The mouse needs the lion.
True
1
proof
[(triple4)]
("mouse" "needs" "lion" "+")
triple4
The mouse does not need the lion.
False
1
inv-proof
[(triple4)]
("mouse" "needs" "lion" "-")
triple4
The lion chases the bald eagle.
True
2
proof
[(((triple3) -> rule6))]
("lion" "chases" "bald eagle" "+")
((triple3) -> (rule6 % int1))
The lion chases the bald eagle.
("lion" "chases" "bald eagle" "+")
int1
The squirrel does not need the bald eagle.
False
2
inv-proof
[(((triple1) -> rule3))]
("squirrel" "needs" "bald eagle" "-")
((triple1) -> (rule3 % int1))
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int1
The bald eagle is young.
True
4
proof
[(((triple1 ((triple1) -> rule3)) -> rule1))]
("bald eagle" "is" "young" "+")
((triple1 ((triple1) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int2
The bald eagle is not young.
False
4
inv-proof
[(((triple1 ((triple1) -> rule3)) -> rule1))]
("bald eagle" "is" "young" "-")
((triple1 ((triple1) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int2
The bald eagle chases the bald eagle.
True
5
proof
[(((((triple1 ((triple1) -> rule3)) -> rule1)) -> rule6))]
("bald eagle" "chases" "bald eagle" "+")
((((triple1 ((triple1) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule6 % int1))
The bald eagle chases the bald eagle.
("bald eagle" "chases" "bald eagle" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int3
The bald eagle does not chase the bald eagle.
False
5
inv-proof
[(((((triple1 ((triple1) -> rule3)) -> rule1)) -> rule6))]
("bald eagle" "chases" "bald eagle" "-")
((((triple1 ((triple1) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule6 % int1))
The bald eagle chases the bald eagle.
("bald eagle" "chases" "bald eagle" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int3
The mouse does not chase the mouse.
Unknown
inv-rconc
[@1: The mouse chases the mouse.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("mouse" "chases" "mouse" "-")
The lion chases the mouse.
Unknown
rconc
[@1: The lion chases the mouse.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("lion" "chases" "mouse" "+")
The mouse does not chase the bald eagle.
Unknown
inv-rconc
[@1: The mouse chases the bald eagle.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("mouse" "chases" "bald eagle" "-")
The squirrel chases the mouse.
Unknown
rconc
[@1: The squirrel chases the mouse.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("squirrel" "chases" "mouse" "+")
The bald eagle does not chase the squirrel.
Unknown
inv-random
[@0: The bald eagle chases the squirrel.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "chases" "squirrel" "-")
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 squirrel does not need the squirrel.
Unknown
inv-random
[@0: The squirrel needs the squirrel.[CWA. Example of deepest failure = (FAIL)]]
("squirrel" "needs" "squirrel" "-")
The lion needs the lion.
Unknown
random
[@0: The lion needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "needs" "lion" "+")
@0: The bald eagle needs the squirrel.[(triple1)] The lion eats the squirrel.[(triple2)] The lion is young.[(triple3)] The mouse needs the lion.[(triple4)] The squirrel eats the bald eagle.[(triple5)] The squirrel is blue.[(triple6)] The squirrel needs the lion.[(triple7)] @1: The lion chases the bald eagle.[(((triple3) -> rule6))] The squirrel needs the bald eagle.[(((triple1) -> rule3))] @2: The bald eagle is young.[(((triple1 ((triple1) -> rule3)) -> rule1))] @3: The bald eagle chases the bald eagle.[(((((triple1 ((triple1) -> rule3)) -> rule1)) -> rule6))]
The bald eagle needs the squirrel.
("bald eagle" "needs" "squirrel" "+")
triple1
The lion eats the squirrel.
("lion" "eats" "squirrel" "+")
triple2
The lion is young.
("lion" "is" "young" "+")
triple3
The mouse needs the lion.
("mouse" "needs" "lion" "+")
triple4
The squirrel eats the bald eagle.
("squirrel" "eats" "bald eagle" "+")
triple5
The squirrel is blue.
("squirrel" "is" "blue" "+")
triple6
The squirrel needs the lion.
("squirrel" "needs" "lion" "+")
triple7
The lion chases the bald eagle.
("lion" "chases" "bald eagle" "+")
((triple3) -> (rule6 % int1))
The lion chases the bald eagle.
("lion" "chases" "bald eagle" "+")
int1
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
((triple1) -> (rule3 % int1))
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
((triple1 ((triple1) -> (rule3 % int2))) -> (rule1 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int2
The bald eagle chases the bald eagle.
("bald eagle" "chases" "bald eagle" "+")
((((triple1 ((triple1) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule6 % int1))
The bald eagle chases the bald eagle.
("bald eagle" "chases" "bald eagle" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The squirrel needs the bald eagle.
("squirrel" "needs" "bald eagle" "+")
int3