The bald eagle is blue. The bald eagle likes the rabbit. The bald eagle sees the dog. The bald eagle visits the rabbit. The cow is cold. The cow sees the bald eagle. The cow visits the rabbit. The dog is green. The dog sees the rabbit. The dog visits the bald eagle. The dog visits the rabbit. The rabbit likes the bald eagle. The rabbit sees the bald eagle. The rabbit sees the dog. Green, kind things are young. If something likes the bald eagle and the bald eagle likes the cow then it visits the bald eagle. If something likes the bald eagle and the bald eagle is young then it visits the cow. If something is blue then it visits the rabbit. If something is kind and it sees the dog then it sees the cow. If something is cold then it likes the dog. If something visits the cow then it is kind. If something sees the bald eagle then the bald eagle is young. If something sees the cow then it likes the rabbit.
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle likes the rabbit.
("bald eagle" "likes" "rabbit" "+")
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
The cow is cold.
("cow" "is" "cold" "+")
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
The cow visits the rabbit.
("cow" "visits" "rabbit" "+")
The dog is green.
("dog" "is" "green" "+")
The dog sees the rabbit.
("dog" "sees" "rabbit" "+")
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
The dog visits the rabbit.
("dog" "visits" "rabbit" "+")
The rabbit likes the bald eagle.
("rabbit" "likes" "bald eagle" "+")
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
The rabbit sees the dog.
("rabbit" "sees" "dog" "+")
Green, kind things are young.
((("something" "is" "green" "+") ("something" "is" "kind" "+")) -> ("something" "is" "young" "+"))
If something likes the bald eagle and the bald eagle likes the cow then it visits the bald eagle.
((("something" "likes" "bald eagle" "+") ("bald eagle" "likes" "cow" "+")) -> ("something" "visits" "bald eagle" "+"))
If something likes the bald eagle and the bald eagle is young then it visits the cow.
((("something" "likes" "bald eagle" "+") ("bald eagle" "is" "young" "+")) -> ("something" "visits" "cow" "+"))
If something is blue then it visits the rabbit.
((("something" "is" "blue" "+")) -> ("something" "visits" "rabbit" "+"))
If something is kind and it sees the dog then it sees the cow.
((("something" "is" "kind" "+") ("something" "sees" "dog" "+")) -> ("something" "sees" "cow" "+"))
If something is cold then it likes the dog.
((("something" "is" "cold" "+")) -> ("something" "likes" "dog" "+"))
If something visits the cow then it is kind.
((("something" "visits" "cow" "+")) -> ("something" "is" "kind" "+"))
If something sees the bald eagle then the bald eagle is young.
((("something" "sees" "bald eagle" "+")) -> ("bald eagle" "is" "young" "+"))
If something sees the cow then it likes the rabbit.
((("something" "sees" "cow" "+")) -> ("something" "likes" "rabbit" "+"))
The cow is cold.
True
1
proof
[(triple5)]
("cow" "is" "cold" "+")
triple5
The dog is not green.
False
1
inv-proof
[(triple8)]
("dog" "is" "green" "-")
triple8
The cow likes the dog.
True
2
proof
[(((triple5) -> rule6))]
("cow" "likes" "dog" "+")
((triple5) -> (rule6 % int1))
The cow likes the dog.
("cow" "likes" "dog" "+")
int1
The bald eagle is not young.
False
2
inv-proof
[(((triple13) -> rule8) OR ((triple6) -> rule8))]
("bald eagle" "is" "young" "-")
((triple13) -> (rule8 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
((triple6) -> (rule8 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The rabbit visits the cow.
True
4
proof
[(((triple12 ((triple13) -> rule8)) -> rule3) OR ((triple12 ((triple6) -> rule8)) -> rule3))]
("rabbit" "visits" "cow" "+")
((triple12 ((triple13) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
((triple12 ((triple6) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The rabbit does not visit the cow.
False
4
inv-proof
[(((triple12 ((triple13) -> rule8)) -> rule3) OR ((triple12 ((triple6) -> rule8)) -> rule3))]
("rabbit" "visits" "cow" "-")
((triple12 ((triple13) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
((triple12 ((triple6) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The rabbit is kind.
True
5
proof
[(((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) OR ((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7))]
("rabbit" "is" "kind" "+")
((((triple12 ((triple13) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
((((triple12 ((triple6) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
The rabbit is not kind.
False
5
inv-proof
[(((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) OR ((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7))]
("rabbit" "is" "kind" "-")
((((triple12 ((triple13) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
((((triple12 ((triple6) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
The rabbit sees the cow.
True
7
proof
[(((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5) OR ((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5))]
("rabbit" "sees" "cow" "+")
((((((triple12 ((triple13) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
((((((triple12 ((triple6) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
The rabbit does not see the cow.
False
7
inv-proof
[(((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5) OR ((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5))]
("rabbit" "sees" "cow" "-")
((((((triple12 ((triple13) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
((((((triple12 ((triple6) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
The rabbit likes the rabbit.
True
8
proof
[(((((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9) OR ((((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9))]
("rabbit" "likes" "rabbit" "+")
((((((((triple12 ((triple13) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5
((((((((triple12 ((triple6) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5
The rabbit does not like the rabbit.
False
8
inv-proof
[(((((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9) OR ((((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9))]
("rabbit" "likes" "rabbit" "-")
((((((((triple12 ((triple13) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5
((((((((triple12 ((triple6) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5
The dog does not visit the cow.
Unknown
inv-rconc
[@1: The dog visits the cow.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("dog" "visits" "cow" "-")
The dog is kind.
Unknown
rconc
[@2: The dog is kind.[CWA. Example of deepest failure = (rule7 <- rule3 <- FAIL)]]
("dog" "is" "kind" "+")
The rabbit does not visit the rabbit.
Unknown
inv-rconc
[@1: The rabbit visits the rabbit.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("rabbit" "visits" "rabbit" "-")
The cow is kind.
Unknown
rconc
[@2: The cow is kind.[CWA. Example of deepest failure = (rule7 <- rule3 <- FAIL)]]
("cow" "is" "kind" "+")
The cow does not visit the cow.
Unknown
inv-rconc
[@1: The cow visits the cow.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("cow" "visits" "cow" "-")
The rabbit visits the bald eagle.
Unknown
rconc
[@1: The rabbit visits the bald eagle.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("rabbit" "visits" "bald eagle" "+")
The cow is not blue.
Unknown
inv-random
[@0: The cow is blue.[CWA. Example of deepest failure = (FAIL)]]
("cow" "is" "blue" "-")
The cow likes the bald eagle.
Unknown
random
[@0: The cow likes the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("cow" "likes" "bald eagle" "+")
The rabbit is not green.
Unknown
inv-random
[@0: The rabbit is green.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "is" "green" "-")
The bald eagle likes the cow.
Unknown
random
[@0: The bald eagle likes the cow.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "likes" "cow" "+")
The cow is not green.
Unknown
inv-random
[@0: The cow is green.[CWA. Example of deepest failure = (FAIL)]]
("cow" "is" "green" "-")
The rabbit likes the cow.
Unknown
random
[@0: The rabbit likes the cow.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "likes" "cow" "+")
@0: The bald eagle is blue.[(triple1)] The bald eagle likes the rabbit.[(triple2)] The bald eagle sees the dog.[(triple3)] The bald eagle visits the rabbit.[(triple4 OR ((triple1) -> rule4))] The cow is cold.[(triple5)] The cow sees the bald eagle.[(triple6)] The cow visits the rabbit.[(triple7)] The dog is green.[(triple8)] The dog sees the rabbit.[(triple9)] The dog visits the bald eagle.[(triple10)] The dog visits the rabbit.[(triple11)] The rabbit likes the bald eagle.[(triple12)] The rabbit sees the bald eagle.[(triple13)] The rabbit sees the dog.[(triple14)] @1: The bald eagle is young.[(((triple13) -> rule8) OR ((triple6) -> rule8))] The cow likes the dog.[(((triple5) -> rule6))] @2: The rabbit visits the cow.[(((triple12 ((triple13) -> rule8)) -> rule3) OR ((triple12 ((triple6) -> rule8)) -> rule3))] @3: The rabbit is kind.[(((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) OR ((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7))] @4: The rabbit sees the cow.[(((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5) OR ((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5))] @5: The rabbit likes the rabbit.[(((((((((triple12 ((triple13) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9) OR ((((((((triple12 ((triple6) -> rule8)) -> rule3)) -> rule7) triple14) -> rule5)) -> rule9))]
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple1
The bald eagle likes the rabbit.
("bald eagle" "likes" "rabbit" "+")
triple2
The bald eagle sees the dog.
("bald eagle" "sees" "dog" "+")
triple3
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
triple4
((triple1) -> (rule4 % int1))
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
int1
The cow is cold.
("cow" "is" "cold" "+")
triple5
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
triple6
The cow visits the rabbit.
("cow" "visits" "rabbit" "+")
triple7
The dog is green.
("dog" "is" "green" "+")
triple8
The dog sees the rabbit.
("dog" "sees" "rabbit" "+")
triple9
The dog visits the bald eagle.
("dog" "visits" "bald eagle" "+")
triple10
The dog visits the rabbit.
("dog" "visits" "rabbit" "+")
triple11
The rabbit likes the bald eagle.
("rabbit" "likes" "bald eagle" "+")
triple12
The rabbit sees the bald eagle.
("rabbit" "sees" "bald eagle" "+")
triple13
The rabbit sees the dog.
("rabbit" "sees" "dog" "+")
triple14
The bald eagle is young.
("bald eagle" "is" "young" "+")
((triple13) -> (rule8 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
((triple6) -> (rule8 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The cow likes the dog.
("cow" "likes" "dog" "+")
((triple5) -> (rule6 % int1))
The cow likes the dog.
("cow" "likes" "dog" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
((triple12 ((triple13) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
((triple12 ((triple6) -> (rule8 % int2))) -> (rule3 % int1))
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int1
The bald eagle is young.
("bald eagle" "is" "young" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
((((triple12 ((triple13) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
((((triple12 ((triple6) -> (rule8 % int3))) -> (rule3 % int2))) -> (rule7 % int1))
The rabbit is kind.
("rabbit" "is" "kind" "+")
int1
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int2
The bald eagle is young.
("bald eagle" "is" "young" "+")
int3
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
((((((triple12 ((triple13) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
((((((triple12 ((triple6) -> (rule8 % int4))) -> (rule3 % int3))) -> (rule7 % int2)) triple14) -> (rule5 % int1))
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int1
The rabbit is kind.
("rabbit" "is" "kind" "+")
int2
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int3
The bald eagle is young.
("bald eagle" "is" "young" "+")
int4
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
((((((((triple12 ((triple13) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5
((((((((triple12 ((triple6) -> (rule8 % int5))) -> (rule3 % int4))) -> (rule7 % int3)) triple14) -> (rule5 % int2))) -> (rule9 % int1))
The rabbit likes the rabbit.
("rabbit" "likes" "rabbit" "+")
int1
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
int2
The rabbit is kind.
("rabbit" "is" "kind" "+")
int3
The rabbit visits the cow.
("rabbit" "visits" "cow" "+")
int4
The bald eagle is young.
("bald eagle" "is" "young" "+")
int5