The bald eagle sees the cow. The cat eats the cow. The cow needs the cat. The cow needs the mouse. The cow sees the mouse. The mouse is kind. The mouse is young. If something needs the mouse and the mouse sees the cow then the cow eats the cat. If something eats the bald eagle then the bald eagle is rough. If something eats the cow then it sees the bald eagle. If something needs the cow and it sees the cat then the cat is red. If something eats the cow then it needs the cat. If something sees the bald eagle then it eats the bald eagle.
The bald eagle sees the cow.
("bald eagle" "sees" "cow" "+")
The cat eats the cow.
("cat" "eats" "cow" "+")
The cow needs the cat.
("cow" "needs" "cat" "+")
The cow needs the mouse.
("cow" "needs" "mouse" "+")
The cow sees the mouse.
("cow" "sees" "mouse" "+")
The mouse is kind.
("mouse" "is" "kind" "+")
The mouse is young.
("mouse" "is" "young" "+")
If something needs the mouse and the mouse sees the cow then the cow eats the cat.
((("something" "needs" "mouse" "+") ("mouse" "sees" "cow" "+")) -> ("cow" "eats" "cat" "+"))
If something eats the bald eagle then the bald eagle is rough.
((("something" "eats" "bald eagle" "+")) -> ("bald eagle" "is" "rough" "+"))
If something eats the cow then it sees the bald eagle.
((("something" "eats" "cow" "+")) -> ("something" "sees" "bald eagle" "+"))
If something needs the cow and it sees the cat then the cat is red.
((("something" "needs" "cow" "+") ("something" "sees" "cat" "+")) -> ("cat" "is" "red" "+"))
If something eats the cow then it needs the cat.
((("something" "eats" "cow" "+")) -> ("something" "needs" "cat" "+"))
If something sees the bald eagle then it eats the bald eagle.
((("something" "sees" "bald eagle" "+")) -> ("something" "eats" "bald eagle" "+"))
The cow sees the mouse.
True
1
proof
[(triple5)]
("cow" "sees" "mouse" "+")
triple5
The cow does not need the mouse.
False
1
inv-proof
[(triple4)]
("cow" "needs" "mouse" "-")
triple4
The cat sees the bald eagle.
True
2
proof
[(((triple2) -> rule3))]
("cat" "sees" "bald eagle" "+")
((triple2) -> (rule3 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat does not see the bald eagle.
False
2
inv-proof
[(((triple2) -> rule3))]
("cat" "sees" "bald eagle" "-")
((triple2) -> (rule3 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat eats the bald eagle.
True
3
proof
[(((((triple2) -> rule3)) -> rule6))]
("cat" "eats" "bald eagle" "+")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int1
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int2
The cat does not eat the bald eagle.
False
3
inv-proof
[(((((triple2) -> rule3)) -> rule6))]
("cat" "eats" "bald eagle" "-")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int1
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int2
The bald eagle is rough.
True
4
proof
[(((((((triple2) -> rule3)) -> rule6)) -> rule2))]
("bald eagle" "is" "rough" "+")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule2 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int3
The bald eagle is not rough.
False
4
inv-proof
[(((((((triple2) -> rule3)) -> rule6)) -> rule2))]
("bald eagle" "is" "rough" "-")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule2 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int3
The bald eagle does not need the cat.
Unknown
inv-rconc
[@1: The bald eagle needs the cat.[CWA. Example of deepest failure = (rule5 <- FAIL)]]
("bald eagle" "needs" "cat" "-")
The bald eagle sees the bald eagle.
Unknown
rconc
[@1: The bald eagle sees the bald eagle.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("bald eagle" "sees" "bald eagle" "+")
The mouse does not eat the bald eagle.
Unknown
inv-rconc
[@2: The mouse eats the bald eagle.[CWA. Example of deepest failure = (rule6 <- rule3 <- FAIL)]]
("mouse" "eats" "bald eagle" "-")
The cow eats the cat.
Unknown
rconc
[@1: The cow eats the cat.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("cow" "eats" "cat" "+")
The cat does not need the mouse.
Unknown
inv-random
[@0: The cat needs the mouse.[CWA. Example of deepest failure = (FAIL)]]
("cat" "needs" "mouse" "-")
The bald eagle is kind.
Unknown
random
[@0: The bald eagle is kind.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "kind" "+")
The cat is not kind.
Unknown
inv-random
[@0: The cat is kind.[CWA. Example of deepest failure = (FAIL)]]
("cat" "is" "kind" "-")
The cow needs the bald eagle.
Unknown
random
[@0: The cow needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cow" "needs" "bald eagle" "+")
@0: The bald eagle sees the cow.[(triple1)] The cat eats the cow.[(triple2)] The cow needs the cat.[(triple3)] The cow needs the mouse.[(triple4)] The cow sees the mouse.[(triple5)] The mouse is kind.[(triple6)] The mouse is young.[(triple7)] @1: The cat needs the cat.[(((triple2) -> rule5))] The cat sees the bald eagle.[(((triple2) -> rule3))] @2: The cat eats the bald eagle.[(((((triple2) -> rule3)) -> rule6))] @3: The bald eagle is rough.[(((((((triple2) -> rule3)) -> rule6)) -> rule2))]
The bald eagle sees the cow.
("bald eagle" "sees" "cow" "+")
triple1
The cat eats the cow.
("cat" "eats" "cow" "+")
triple2
The cow needs the cat.
("cow" "needs" "cat" "+")
triple3
The cow needs the mouse.
("cow" "needs" "mouse" "+")
triple4
The cow sees the mouse.
("cow" "sees" "mouse" "+")
triple5
The mouse is kind.
("mouse" "is" "kind" "+")
triple6
The mouse is young.
("mouse" "is" "young" "+")
triple7
The cat needs the cat.
("cat" "needs" "cat" "+")
((triple2) -> (rule5 % int1))
The cat needs the cat.
("cat" "needs" "cat" "+")
int1
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
((triple2) -> (rule3 % int1))
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
((((triple2) -> (rule3 % int2))) -> (rule6 % int1))
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int1
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int2
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
((((((triple2) -> (rule3 % int3))) -> (rule6 % int2))) -> (rule2 % int1))
The bald eagle is rough.
("bald eagle" "is" "rough" "+")
int1
The cat eats the bald eagle.
("cat" "eats" "bald eagle" "+")
int2
The cat sees the bald eagle.
("cat" "sees" "bald eagle" "+")
int3