The bald eagle eats the cow. The bald eagle is red. The bald eagle needs the cow. The bear needs the rabbit. The cow is kind. The cow is red. The cow needs the bald eagle. The rabbit eats the bear. The rabbit eats the cow. The rabbit sees the cow. If something needs the bald eagle then it needs the rabbit. If the bald eagle is nice and the bald eagle is young then the bald eagle sees the cow. If the rabbit needs the cow then the cow sees the rabbit. If something eats the cow and the cow is nice then it needs the bald eagle. If something needs the rabbit then it is nice. If something sees the rabbit then it is red. If something needs the bald eagle then it eats the bald eagle.
The bald eagle eats the cow.
("bald eagle" "eats" "cow" "+")
The bald eagle is red.
("bald eagle" "is" "red" "+")
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
The bear needs the rabbit.
("bear" "needs" "rabbit" "+")
The cow is kind.
("cow" "is" "kind" "+")
The cow is red.
("cow" "is" "red" "+")
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
The rabbit eats the bear.
("rabbit" "eats" "bear" "+")
The rabbit eats the cow.
("rabbit" "eats" "cow" "+")
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
If something needs the bald eagle then it needs the rabbit.
((("something" "needs" "bald eagle" "+")) -> ("something" "needs" "rabbit" "+"))
If the bald eagle is nice and the bald eagle is young then the bald eagle sees the cow.
((("bald eagle" "is" "nice" "+") ("bald eagle" "is" "young" "+")) -> ("bald eagle" "sees" "cow" "+"))
If the rabbit needs the cow then the cow sees the rabbit.
((("rabbit" "needs" "cow" "+")) -> ("cow" "sees" "rabbit" "+"))
If something eats the cow and the cow is nice then it needs the bald eagle.
((("something" "eats" "cow" "+") ("cow" "is" "nice" "+")) -> ("something" "needs" "bald eagle" "+"))
If something needs the rabbit then it is nice.
((("something" "needs" "rabbit" "+")) -> ("something" "is" "nice" "+"))
If something sees the rabbit then it is red.
((("something" "sees" "rabbit" "+")) -> ("something" "is" "red" "+"))
If something needs the bald eagle then it eats the bald eagle.
((("something" "needs" "bald eagle" "+")) -> ("something" "eats" "bald eagle" "+"))
The cow is red.
True
1
proof
[(triple6)]
("cow" "is" "red" "+")
triple6
The bald eagle does not need the cow.
False
1
inv-proof
[(triple3)]
("bald eagle" "needs" "cow" "-")
triple3
The cow eats the bald eagle.
True
2
proof
[(((triple7) -> rule7))]
("cow" "eats" "bald eagle" "+")
((triple7) -> (rule7 % int1))
The cow eats the bald eagle.
("cow" "eats" "bald eagle" "+")
int1
The cow does not need the rabbit.
False
2
inv-proof
[(((triple7) -> rule1))]
("cow" "needs" "rabbit" "-")
((triple7) -> (rule1 % int1))
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int1
The cow is nice.
True
3
proof
[(((((triple7) -> rule1)) -> rule5))]
("cow" "is" "nice" "+")
((((triple7) -> (rule1 % int2))) -> (rule5 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int2
The cow is not nice.
False
3
inv-proof
[(((((triple7) -> rule1)) -> rule5))]
("cow" "is" "nice" "-")
((((triple7) -> (rule1 % int2))) -> (rule5 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int2
The rabbit needs the bald eagle.
True
5
proof
[(((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4))]
("rabbit" "needs" "bald eagle" "+")
((triple9 ((((triple7) -> (rule1 % int3))) -> (rule5 % int2))) -> (rule4 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int3
The rabbit does not need the bald eagle.
False
5
inv-proof
[(((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4))]
("rabbit" "needs" "bald eagle" "-")
((triple9 ((((triple7) -> (rule1 % int3))) -> (rule5 % int2))) -> (rule4 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int3
The rabbit needs the rabbit.
True
6
proof
[(((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1))]
("rabbit" "needs" "rabbit" "+")
((((triple9 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule1 % int1))
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The rabbit does not need the rabbit.
False
6
inv-proof
[(((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1))]
("rabbit" "needs" "rabbit" "-")
((((triple9 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule1 % int1))
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The bald eagle is nice.
True
7
proof
[(((((((triple1 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1)) -> rule5))]
("bald eagle" "is" "nice" "+")
((((((triple1 ((((triple7) -> (rule1 % int5))) -> (rule5 % int4))) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule5 % int1))
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
int1
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int5
The rabbit is not nice.
False
7
inv-proof
[(((((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1)) -> rule5))]
("rabbit" "is" "nice" "-")
((((((triple9 ((((triple7) -> (rule1 % int5))) -> (rule5 % int4))) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule5 % int1))
The rabbit is nice.
("rabbit" "is" "nice" "+")
int1
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int5
The rabbit is not red.
Unknown
inv-rconc
[@1: The rabbit is red.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("rabbit" "is" "red" "-")
The bear eats the bald eagle.
Unknown
rconc
[@2: The bear eats the bald eagle.[CWA. Example of deepest failure = (rule7 <- rule4 <- FAIL)]]
("bear" "eats" "bald eagle" "+")
The bear is not red.
Unknown
inv-rconc
[@1: The bear is red.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("bear" "is" "red" "-")
The cow sees the rabbit.
Unknown
rconc
[@1: The cow sees the rabbit.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("cow" "sees" "rabbit" "+")
The bald eagle does not see the cow.
Unknown
inv-rconc
[@1: The bald eagle sees the cow.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("bald eagle" "sees" "cow" "-")
The bear needs the bald eagle.
Unknown
rconc
[@1: The bear needs the bald eagle.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bear" "needs" "bald eagle" "+")
The rabbit is not kind.
Unknown
inv-random
[@0: The rabbit is kind.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "is" "kind" "-")
The rabbit sees the bear.
Unknown
random
[@0: The rabbit sees the bear.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "sees" "bear" "+")
The bear does not need the bear.
Unknown
inv-random
[@0: The bear needs the bear.[CWA. Example of deepest failure = (FAIL)]]
("bear" "needs" "bear" "-")
The cow eats the cow.
Unknown
random
[@0: The cow eats the cow.[CWA. Example of deepest failure = (FAIL)]]
("cow" "eats" "cow" "+")
The bear does not eat the cow.
Unknown
inv-random
[@0: The bear eats the cow.[CWA. Example of deepest failure = (FAIL)]]
("bear" "eats" "cow" "-")
The rabbit needs the bear.
Unknown
random
[@0: The rabbit needs the bear.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "needs" "bear" "+")
@0: The bald eagle eats the cow.[(triple1)] The bald eagle is red.[(triple2)] The bald eagle needs the cow.[(triple3)] The bear needs the rabbit.[(triple4)] The cow is kind.[(triple5)] The cow is red.[(triple6)] The cow needs the bald eagle.[(triple7)] The rabbit eats the bear.[(triple8)] The rabbit eats the cow.[(triple9)] The rabbit sees the cow.[(triple10)] @1: The bear is nice.[(((triple4) -> rule5))] The cow eats the bald eagle.[(((triple7) -> rule7))] The cow needs the rabbit.[(((triple7) -> rule1))] @2: The cow is nice.[(((((triple7) -> rule1)) -> rule5))] @3: The bald eagle needs the bald eagle.[(((triple1 ((((triple7) -> rule1)) -> rule5)) -> rule4))] The rabbit needs the bald eagle.[(((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4))] @4: The bald eagle eats the bald eagle.[(((((triple1 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule7))] The bald eagle needs the rabbit.[(((((triple1 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1))] The rabbit eats the bald eagle.[(((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule7))] The rabbit needs the rabbit.[(((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1))] @5: The bald eagle is nice.[(((((((triple1 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1)) -> rule5))] The rabbit is nice.[(((((((triple9 ((((triple7) -> rule1)) -> rule5)) -> rule4)) -> rule1)) -> rule5))]
The bald eagle eats the cow.
("bald eagle" "eats" "cow" "+")
triple1
The bald eagle is red.
("bald eagle" "is" "red" "+")
triple2
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
triple3
The bear needs the rabbit.
("bear" "needs" "rabbit" "+")
triple4
The cow is kind.
("cow" "is" "kind" "+")
triple5
The cow is red.
("cow" "is" "red" "+")
triple6
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
triple7
The rabbit eats the bear.
("rabbit" "eats" "bear" "+")
triple8
The rabbit eats the cow.
("rabbit" "eats" "cow" "+")
triple9
The rabbit sees the cow.
("rabbit" "sees" "cow" "+")
triple10
The bear is nice.
("bear" "is" "nice" "+")
((triple4) -> (rule5 % int1))
The bear is nice.
("bear" "is" "nice" "+")
int1
The cow eats the bald eagle.
("cow" "eats" "bald eagle" "+")
((triple7) -> (rule7 % int1))
The cow eats the bald eagle.
("cow" "eats" "bald eagle" "+")
int1
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
((triple7) -> (rule1 % int1))
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
((((triple7) -> (rule1 % int2))) -> (rule5 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
((triple1 ((((triple7) -> (rule1 % int3))) -> (rule5 % int2))) -> (rule4 % int1))
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int3
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
((triple9 ((((triple7) -> (rule1 % int3))) -> (rule5 % int2))) -> (rule4 % int1))
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int3
The bald eagle eats the bald eagle.
("bald eagle" "eats" "bald eagle" "+")
((((triple1 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule7 % int1))
The bald eagle eats the bald eagle.
("bald eagle" "eats" "bald eagle" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
((((triple1 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule1 % int1))
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int1
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
((((triple9 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule7 % int1))
The rabbit eats the bald eagle.
("rabbit" "eats" "bald eagle" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
((((triple9 ((((triple7) -> (rule1 % int4))) -> (rule5 % int3))) -> (rule4 % int2))) -> (rule1 % int1))
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
int1
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int4
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
((((((triple1 ((((triple7) -> (rule1 % int5))) -> (rule5 % int4))) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule5 % int1))
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
int1
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int2
The bald eagle needs the bald eagle.
("bald eagle" "needs" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int5
The rabbit is nice.
("rabbit" "is" "nice" "+")
((((((triple9 ((((triple7) -> (rule1 % int5))) -> (rule5 % int4))) -> (rule4 % int3))) -> (rule1 % int2))) -> (rule5 % int1))
The rabbit is nice.
("rabbit" "is" "nice" "+")
int1
The rabbit needs the rabbit.
("rabbit" "needs" "rabbit" "+")
int2
The rabbit needs the bald eagle.
("rabbit" "needs" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
The cow needs the rabbit.
("cow" "needs" "rabbit" "+")
int5