The bald eagle eats the mouse. The bald eagle is red. The bald eagle is round. The bald eagle needs the mouse. The bald eagle sees the squirrel. The dog eats the squirrel. The dog needs the bald eagle. The dog does not need the squirrel. The dog sees the squirrel. The mouse is green. The mouse needs the dog. The squirrel is red. The squirrel needs the dog. The squirrel sees the dog. The squirrel sees the mouse. All red, blue people are round. If someone is nice and blue then they eat the bald eagle. If someone needs the mouse then the mouse is red. If someone eats the mouse and they need the bald eagle then the bald eagle sees the dog. Red people are blue. If someone needs the squirrel and they need the bald eagle then the bald eagle does not eat the mouse.
The bald eagle eats the mouse.
("bald eagle" "eats" "mouse" "+")
The bald eagle is red.
("bald eagle" "is" "red" "+")
The bald eagle is round.
("bald eagle" "is" "round" "+")
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
The bald eagle sees the squirrel.
("bald eagle" "sees" "squirrel" "+")
The dog eats the squirrel.
("dog" "eats" "squirrel" "+")
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
The dog does not need the squirrel.
("dog" "needs" "squirrel" "-")
The dog sees the squirrel.
("dog" "sees" "squirrel" "+")
The mouse is green.
("mouse" "is" "green" "+")
The mouse needs the dog.
("mouse" "needs" "dog" "+")
The squirrel is red.
("squirrel" "is" "red" "+")
The squirrel needs the dog.
("squirrel" "needs" "dog" "+")
The squirrel sees the dog.
("squirrel" "sees" "dog" "+")
The squirrel sees the mouse.
("squirrel" "sees" "mouse" "+")
All red, blue people are round.
((("someone" "is" "red" "+") ("someone" "is" "blue" "+")) -> ("someone" "is" "round" "+"))
If someone is nice and blue then they eat the bald eagle.
((("someone" "is" "nice" "+") ("someone" "is" "blue" "+")) -> ("someone" "eats" "bald eagle" "+"))
If someone needs the mouse then the mouse is red.
((("someone" "needs" "mouse" "+")) -> ("mouse" "is" "red" "+"))
If someone eats the mouse and they need the bald eagle then the bald eagle sees the dog.
((("someone" "eats" "mouse" "+") ("someone" "needs" "bald eagle" "+")) -> ("bald eagle" "sees" "dog" "+"))
Red people are blue.
((("someone" "is" "red" "+")) -> ("someone" "is" "blue" "+"))
If someone needs the squirrel and they need the bald eagle then the bald eagle does not eat the mouse.
((("someone" "needs" "squirrel" "+") ("someone" "needs" "bald eagle" "+")) -> ("bald eagle" "eats" "mouse" "-"))
The bald eagle eats the mouse.
True
1
proof
[(triple1)]
("bald eagle" "eats" "mouse" "+")
triple1
The bald eagle is not red.
False
1
inv-proof
[(triple2)]
("bald eagle" "is" "red" "-")
triple2
The bald eagle is blue.
True
2
proof
[(((triple2) -> rule5))]
("bald eagle" "is" "blue" "+")
((triple2) -> (rule5 % int1))
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
int1
The mouse is not red.
False
2
inv-proof
[(((triple4) -> rule3))]
("mouse" "is" "red" "-")
((triple4) -> (rule3 % int1))
The mouse is red.
("mouse" "is" "red" "+")
int1
The mouse is blue.
True
3
proof
[(((((triple4) -> rule3)) -> rule5))]
("mouse" "is" "blue" "+")
((((triple4) -> (rule3 % int2))) -> (rule5 % int1))
The mouse is blue.
("mouse" "is" "blue" "+")
int1
The mouse is red.
("mouse" "is" "red" "+")
int2
The squirrel is not round.
False
4
inv-proof
[(((triple12 ((triple12) -> rule5)) -> rule1))]
("squirrel" "is" "round" "-")
((triple12 ((triple12) -> (rule5 % int2))) -> (rule1 % int1))
The squirrel is round.
("squirrel" "is" "round" "+")
int1
The squirrel is blue.
("squirrel" "is" "blue" "+")
int2
The mouse is round.
True
6
proof
[(((((triple4) -> rule3) ((((triple4) -> rule3)) -> rule5)) -> rule1))]
("mouse" "is" "round" "+")
((((triple4) -> (rule3 % int3)) ((((triple4) -> (rule3 % int3))) -> (rule5 % int2))) -> (rule1 % int1))
The mouse is round.
("mouse" "is" "round" "+")
int1
The mouse is blue.
("mouse" "is" "blue" "+")
int2
The mouse is red.
("mouse" "is" "red" "+")
int3
The mouse is not round.
False
6
inv-proof
[(((((triple4) -> rule3) ((((triple4) -> rule3)) -> rule5)) -> rule1))]
("mouse" "is" "round" "-")
((((triple4) -> (rule3 % int3)) ((((triple4) -> (rule3 % int3))) -> (rule5 % int2))) -> (rule1 % int1))
The mouse is round.
("mouse" "is" "round" "+")
int1
The mouse is blue.
("mouse" "is" "blue" "+")
int2
The mouse is red.
("mouse" "is" "red" "+")
int3
The squirrel does not eat the bald eagle.
Unknown
inv-rconc
[@1: The squirrel eats the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("squirrel" "eats" "bald eagle" "-")
The mouse eats the bald eagle.
Unknown
rconc
[@1: The mouse eats the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("mouse" "eats" "bald eagle" "+")
The bald eagle does not see the dog.
Unknown
inv-rconc
[@1: The bald eagle sees the dog.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bald eagle" "sees" "dog" "-")
The dog is round.
Unknown
rconc
[@1: The dog is round.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("dog" "is" "round" "+")
The bald eagle does not need the dog.
Unknown
inv-random
[@0: The bald eagle needs the dog.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "dog" "-")
The mouse eats the dog.
Unknown
random
[@0: The mouse eats the dog.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "eats" "dog" "+")
The dog is not nice.
Unknown
inv-random
[@0: The dog is nice.[CWA. Example of deepest failure = (FAIL)]]
("dog" "is" "nice" "-")
The bald eagle sees the bald eagle.
Unknown
random
[@0: The bald eagle sees the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "sees" "bald eagle" "+")
@0: The bald eagle eats the mouse.[(triple1)] The bald eagle is red.[(triple2)] The bald eagle is round.[(triple3 OR ((triple2 ((triple2) -> rule5)) -> rule1))] The bald eagle needs the mouse.[(triple4)] The bald eagle sees the squirrel.[(triple5)] The dog does not need the squirrel.[(triple8)] The dog eats the squirrel.[(triple6)] The dog needs the bald eagle.[(triple7)] The dog sees the squirrel.[(triple9)] The mouse is green.[(triple10)] The mouse needs the dog.[(triple11)] The squirrel is red.[(triple12)] The squirrel needs the dog.[(triple13)] The squirrel sees the dog.[(triple14)] The squirrel sees the mouse.[(triple15)] @1: The bald eagle is blue.[(((triple2) -> rule5))] The mouse is red.[(((triple4) -> rule3))] The squirrel is blue.[(((triple12) -> rule5))] @2: The mouse is blue.[(((((triple4) -> rule3)) -> rule5))] The squirrel is round.[(((triple12 ((triple12) -> rule5)) -> rule1))] @3: The mouse is round.[(((((triple4) -> rule3) ((((triple4) -> rule3)) -> rule5)) -> rule1))]
The bald eagle eats the mouse.
("bald eagle" "eats" "mouse" "+")
triple1
The bald eagle is red.
("bald eagle" "is" "red" "+")
triple2
The bald eagle is round.
("bald eagle" "is" "round" "+")
triple3
((triple2 ((triple2) -> (rule5 % int2))) -> (rule1 % int1))
The bald eagle is round.
("bald eagle" "is" "round" "+")
int1
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
int2
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
triple4
The bald eagle sees the squirrel.
("bald eagle" "sees" "squirrel" "+")
triple5
The dog does not need the squirrel.
("dog" "needs" "squirrel" "-")
triple8
The dog eats the squirrel.
("dog" "eats" "squirrel" "+")
triple6
The dog needs the bald eagle.
("dog" "needs" "bald eagle" "+")
triple7
The dog sees the squirrel.
("dog" "sees" "squirrel" "+")
triple9
The mouse is green.
("mouse" "is" "green" "+")
triple10
The mouse needs the dog.
("mouse" "needs" "dog" "+")
triple11
The squirrel is red.
("squirrel" "is" "red" "+")
triple12
The squirrel needs the dog.
("squirrel" "needs" "dog" "+")
triple13
The squirrel sees the dog.
("squirrel" "sees" "dog" "+")
triple14
The squirrel sees the mouse.
("squirrel" "sees" "mouse" "+")
triple15
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
((triple2) -> (rule5 % int1))
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
int1
The mouse is red.
("mouse" "is" "red" "+")
((triple4) -> (rule3 % int1))
The mouse is red.
("mouse" "is" "red" "+")
int1
The squirrel is blue.
("squirrel" "is" "blue" "+")
((triple12) -> (rule5 % int1))
The squirrel is blue.
("squirrel" "is" "blue" "+")
int1
The mouse is blue.
("mouse" "is" "blue" "+")
((((triple4) -> (rule3 % int2))) -> (rule5 % int1))
The mouse is blue.
("mouse" "is" "blue" "+")
int1
The mouse is red.
("mouse" "is" "red" "+")
int2
The squirrel is round.
("squirrel" "is" "round" "+")
((triple12 ((triple12) -> (rule5 % int2))) -> (rule1 % int1))
The squirrel is round.
("squirrel" "is" "round" "+")
int1
The squirrel is blue.
("squirrel" "is" "blue" "+")
int2
The mouse is round.
("mouse" "is" "round" "+")
((((triple4) -> (rule3 % int3)) ((((triple4) -> (rule3 % int3))) -> (rule5 % int2))) -> (rule1 % int1))
The mouse is round.
("mouse" "is" "round" "+")
int1
The mouse is blue.
("mouse" "is" "blue" "+")
int2
The mouse is red.
("mouse" "is" "red" "+")
int3