The bald eagle is green. The bald eagle likes the mouse. The cow is blue. The lion is not kind. The lion likes the cow. The lion sees the bald eagle. The mouse is blue. All rough, cold things are blue. If the bald eagle chases the lion then the bald eagle likes the lion. If something sees the bald eagle then it chases the lion. If something is green then it sees the bald eagle. If something sees the bald eagle then the bald eagle likes the cow. If something sees the mouse and it likes the lion then the lion sees the cow. If something chases the cow then the cow is not green. If something sees the bald eagle and it is not kind then it sees the lion.
The bald eagle is green.
("bald eagle" "is" "green" "+")
The bald eagle likes the mouse.
("bald eagle" "likes" "mouse" "+")
The cow is blue.
("cow" "is" "blue" "+")
The lion is not kind.
("lion" "is" "kind" "-")
The lion likes the cow.
("lion" "likes" "cow" "+")
The lion sees the bald eagle.
("lion" "sees" "bald eagle" "+")
The mouse is blue.
("mouse" "is" "blue" "+")
All rough, cold things are blue.
((("something" "is" "rough" "+") ("something" "is" "cold" "+")) -> ("something" "is" "blue" "+"))
If the bald eagle chases the lion then the bald eagle likes the lion.
((("bald eagle" "chases" "lion" "+")) -> ("bald eagle" "likes" "lion" "+"))
If something sees the bald eagle then it chases the lion.
((("something" "sees" "bald eagle" "+")) -> ("something" "chases" "lion" "+"))
If something is green then it sees the bald eagle.
((("something" "is" "green" "+")) -> ("something" "sees" "bald eagle" "+"))
If something sees the bald eagle then the bald eagle likes the cow.
((("something" "sees" "bald eagle" "+")) -> ("bald eagle" "likes" "cow" "+"))
If something sees the mouse and it likes the lion then the lion sees the cow.
((("something" "sees" "mouse" "+") ("something" "likes" "lion" "+")) -> ("lion" "sees" "cow" "+"))
If something chases the cow then the cow is not green.
((("something" "chases" "cow" "+")) -> ("cow" "is" "green" "-"))
If something sees the bald eagle and it is not kind then it sees the lion.
((("something" "sees" "bald eagle" "+") ("something" "is" "kind" "~")) -> ("something" "sees" "lion" "+"))
The lion is not kind.
True
1
proof
[(triple4)]
("lion" "is" "kind" "-")
triple4
The bald eagle does not like the mouse.
False
1
inv-proof
[(triple2)]
("bald eagle" "likes" "mouse" "-")
triple2
The bald eagle sees the bald eagle.
True
2
proof
[(((triple1) -> rule4))]
("bald eagle" "sees" "bald eagle" "+")
((triple1) -> (rule4 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The lion does not chase the lion.
False
2
inv-proof
[(((triple6) -> rule3))]
("lion" "chases" "lion" "-")
((triple6) -> (rule3 % int1))
The lion chases the lion.
("lion" "chases" "lion" "+")
int1
The bald eagle chases the lion.
True
3
proof
[(((((triple1) -> rule4)) -> rule3))]
("bald eagle" "chases" "lion" "+")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle does not chase the lion.
False
3
inv-proof
[(((((triple1) -> rule4)) -> rule3))]
("bald eagle" "chases" "lion" "-")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle likes the lion.
True
4
proof
[(((((((triple1) -> rule4)) -> rule3)) -> rule2))]
("bald eagle" "likes" "lion" "+")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int2
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int3
The bald eagle does not like the lion.
False
4
inv-proof
[(((((((triple1) -> rule4)) -> rule3)) -> rule2))]
("bald eagle" "likes" "lion" "-")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int2
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int3
The lion is not blue.
Unknown
inv-rconc
[@1: The lion is blue.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("lion" "is" "blue" "-")
The cow sees the lion.
Unknown
rconc
[@1: The cow sees the lion.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("cow" "sees" "lion" "+")
The mouse does not see the bald eagle.
Unknown
inv-rconc
[@1: The mouse sees the bald eagle.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("mouse" "sees" "bald eagle" "-")
The bald eagle sees the lion.
Unknown
rconc
[@1: The bald eagle sees the lion.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("bald eagle" "sees" "lion" "+")
The cow does not like the cow.
Unknown
inv-random
[@0: The cow likes the cow.[CWA. Example of deepest failure = (FAIL)]]
("cow" "likes" "cow" "-")
The lion sees the mouse.
Unknown
random
[@0: The lion sees the mouse.[CWA. Example of deepest failure = (FAIL)]]
("lion" "sees" "mouse" "+")
The mouse is not rough.
Unknown
inv-random
[@0: The mouse is rough.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "is" "rough" "-")
The mouse likes the bald eagle.
Unknown
random
[@0: The mouse likes the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "likes" "bald eagle" "+")
@0: The bald eagle is green.[(triple1)] The bald eagle likes the mouse.[(triple2)] The cow is blue.[(triple3)] The lion is not kind.[(triple4)] The lion likes the cow.[(triple5)] The lion sees the bald eagle.[(triple6)] The mouse is blue.[(triple7)] @1: The bald eagle likes the cow.[(((triple6) -> rule5) OR ((((triple1) -> rule4)) -> rule5))] The bald eagle sees the bald eagle.[(((triple1) -> rule4))] The lion chases the lion.[(((triple6) -> rule3))] The lion sees the lion.[(((triple6 triple4) -> rule8))] @2: The bald eagle chases the lion.[(((((triple1) -> rule4)) -> rule3))] @3: The bald eagle likes the lion.[(((((((triple1) -> rule4)) -> rule3)) -> rule2))]
The bald eagle is green.
("bald eagle" "is" "green" "+")
triple1
The bald eagle likes the mouse.
("bald eagle" "likes" "mouse" "+")
triple2
The cow is blue.
("cow" "is" "blue" "+")
triple3
The lion is not kind.
("lion" "is" "kind" "-")
triple4
The lion likes the cow.
("lion" "likes" "cow" "+")
triple5
The lion sees the bald eagle.
("lion" "sees" "bald eagle" "+")
triple6
The mouse is blue.
("mouse" "is" "blue" "+")
triple7
The bald eagle likes the cow.
("bald eagle" "likes" "cow" "+")
((triple6) -> (rule5 % int1))
The bald eagle likes the cow.
("bald eagle" "likes" "cow" "+")
int1
((((triple1) -> (rule4 % int2))) -> (rule5 % int1))
The bald eagle likes the cow.
("bald eagle" "likes" "cow" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
((triple1) -> (rule4 % int1))
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int1
The lion chases the lion.
("lion" "chases" "lion" "+")
((triple6) -> (rule3 % int1))
The lion chases the lion.
("lion" "chases" "lion" "+")
int1
The lion sees the lion.
("lion" "sees" "lion" "+")
((triple6 triple4) -> (rule8 % int1))
The lion sees the lion.
("lion" "sees" "lion" "+")
int1
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
((((triple1) -> (rule4 % int2))) -> (rule3 % int1))
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int1
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int2
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
((((((triple1) -> (rule4 % int3))) -> (rule3 % int2))) -> (rule2 % int1))
The bald eagle likes the lion.
("bald eagle" "likes" "lion" "+")
int1
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
int2
The bald eagle sees the bald eagle.
("bald eagle" "sees" "bald eagle" "+")
int3