The bear does not chase the cow. The bear needs the cow. The cow chases the bear. The dog is green. The dog needs the bear. The lion chases the bear. The lion chases the dog. The lion needs the cow. The lion visits the bear. The lion visits the dog. If someone visits the cow then the cow is green. If someone chases the cow and the cow needs the bear then the cow is green. If someone chases the dog and they need the bear then the dog visits the cow. If someone is green then they visit the lion. If someone visits the lion then the lion needs the bear. If someone needs the dog then the dog visits the lion. If someone needs the cow then they are red. If the dog is young then the dog is kind. If the cow chases the lion and the lion chases the cow then the cow chases the dog.
The bear does not chase the cow.
("bear" "chases" "cow" "-")
The bear needs the cow.
("bear" "needs" "cow" "+")
The cow chases the bear.
("cow" "chases" "bear" "+")
The dog is green.
("dog" "is" "green" "+")
The dog needs the bear.
("dog" "needs" "bear" "+")
The lion chases the bear.
("lion" "chases" "bear" "+")
The lion chases the dog.
("lion" "chases" "dog" "+")
The lion needs the cow.
("lion" "needs" "cow" "+")
The lion visits the bear.
("lion" "visits" "bear" "+")
The lion visits the dog.
("lion" "visits" "dog" "+")
If someone visits the cow then the cow is green.
((("someone" "visits" "cow" "+")) -> ("cow" "is" "green" "+"))
If someone chases the cow and the cow needs the bear then the cow is green.
((("someone" "chases" "cow" "+") ("cow" "needs" "bear" "+")) -> ("cow" "is" "green" "+"))
If someone chases the dog and they need the bear then the dog visits the cow.
((("someone" "chases" "dog" "+") ("someone" "needs" "bear" "+")) -> ("dog" "visits" "cow" "+"))
If someone is green then they visit the lion.
((("someone" "is" "green" "+")) -> ("someone" "visits" "lion" "+"))
If someone visits the lion then the lion needs the bear.
((("someone" "visits" "lion" "+")) -> ("lion" "needs" "bear" "+"))
If someone needs the dog then the dog visits the lion.
((("someone" "needs" "dog" "+")) -> ("dog" "visits" "lion" "+"))
If someone needs the cow then they are red.
((("someone" "needs" "cow" "+")) -> ("someone" "is" "red" "+"))
If the dog is young then the dog is kind.
((("dog" "is" "young" "+")) -> ("dog" "is" "kind" "+"))
If the cow chases the lion and the lion chases the cow then the cow chases the dog.
((("cow" "chases" "lion" "+") ("lion" "chases" "cow" "+")) -> ("cow" "chases" "dog" "+"))
The lion chases the dog.
True
1
proof
[(triple7)]
("lion" "chases" "dog" "+")
triple7
The lion does not need the cow.
False
1
inv-proof
[(triple8)]
("lion" "needs" "cow" "-")
triple8
The dog visits the lion.
True
2
proof
[(((triple4) -> rule4))]
("dog" "visits" "lion" "+")
((triple4) -> (rule4 % int1))
The dog visits the lion.
("dog" "visits" "lion" "+")
int1
The bear is not red.
False
2
inv-proof
[(((triple2) -> rule7))]
("bear" "is" "red" "-")
((triple2) -> (rule7 % int1))
The bear is red.
("bear" "is" "red" "+")
int1
The lion needs the bear.
True
3
proof
[(((((triple4) -> rule4)) -> rule5))]
("lion" "needs" "bear" "+")
((((triple4) -> (rule4 % int2))) -> (rule5 % int1))
The lion needs the bear.
("lion" "needs" "bear" "+")
int1
The dog visits the lion.
("dog" "visits" "lion" "+")
int2
The lion does not need the bear.
False
3
inv-proof
[(((((triple4) -> rule4)) -> rule5))]
("lion" "needs" "bear" "-")
((((triple4) -> (rule4 % int2))) -> (rule5 % int1))
The lion needs the bear.
("lion" "needs" "bear" "+")
int1
The dog visits the lion.
("dog" "visits" "lion" "+")
int2
The dog visits the cow.
True
5
proof
[(((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3))]
("dog" "visits" "cow" "+")
((triple7 ((((triple4) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule3 % int1))
The dog visits the cow.
("dog" "visits" "cow" "+")
int1
The lion needs the bear.
("lion" "needs" "bear" "+")
int2
The dog visits the lion.
("dog" "visits" "lion" "+")
int3
The dog does not visit the cow.
False
5
inv-proof
[(((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3))]
("dog" "visits" "cow" "-")
((triple7 ((((triple4) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule3 % int1))
The dog visits the cow.
("dog" "visits" "cow" "+")
int1
The lion needs the bear.
("lion" "needs" "bear" "+")
int2
The dog visits the lion.
("dog" "visits" "lion" "+")
int3
The cow is green.
True
6
proof
[(((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1))]
("cow" "is" "green" "+")
((((triple7 ((((triple4) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cow is green.
("cow" "is" "green" "+")
int1
The dog visits the cow.
("dog" "visits" "cow" "+")
int2
The lion needs the bear.
("lion" "needs" "bear" "+")
int3
The dog visits the lion.
("dog" "visits" "lion" "+")
int4
The cow is not green.
False
6
inv-proof
[(((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1))]
("cow" "is" "green" "-")
((((triple7 ((((triple4) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cow is green.
("cow" "is" "green" "+")
int1
The dog visits the cow.
("dog" "visits" "cow" "+")
int2
The lion needs the bear.
("lion" "needs" "bear" "+")
int3
The dog visits the lion.
("dog" "visits" "lion" "+")
int4
The cow visits the lion.
True
7
proof
[(((((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1)) -> rule4))]
("cow" "visits" "lion" "+")
((((((triple7 ((((triple4) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The cow visits the lion.
("cow" "visits" "lion" "+")
int1
The cow is green.
("cow" "is" "green" "+")
int2
The dog visits the cow.
("dog" "visits" "cow" "+")
int3
The lion needs the bear.
("lion" "needs" "bear" "+")
int4
The dog visits the lion.
("dog" "visits" "lion" "+")
int5
The cow does not visit the lion.
False
7
inv-proof
[(((((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1)) -> rule4))]
("cow" "visits" "lion" "-")
((((((triple7 ((((triple4) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The cow visits the lion.
("cow" "visits" "lion" "+")
int1
The cow is green.
("cow" "is" "green" "+")
int2
The dog visits the cow.
("dog" "visits" "cow" "+")
int3
The lion needs the bear.
("lion" "needs" "bear" "+")
int4
The dog visits the lion.
("dog" "visits" "lion" "+")
int5
The dog is not kind.
Unknown
inv-rconc
[@1: The dog is kind.[CWA. Example of deepest failure = (rule8 <- FAIL)]]
("dog" "is" "kind" "-")
The bear visits the lion.
Unknown
rconc
[@1: The bear visits the lion.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bear" "visits" "lion" "+")
The dog is not red.
Unknown
inv-rconc
[@1: The dog is red.[CWA. Example of deepest failure = (rule7 <- FAIL)]]
("dog" "is" "red" "-")
The lion visits the lion.
Unknown
rconc
[@1: The lion visits the lion.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("lion" "visits" "lion" "+")
The cow is not red.
Unknown
inv-rconc
[@1: The cow is red.[CWA. Example of deepest failure = (rule7 <- FAIL)]]
("cow" "is" "red" "-")
The cow chases the dog.
Unknown
rconc
[@1: The cow chases the dog.[CWA. Example of deepest failure = (rule9 <- FAIL)]]
("cow" "chases" "dog" "+")
The lion is not kind.
Unknown
inv-random
[@0: The lion is kind.[CWA. Example of deepest failure = (FAIL)]]
("lion" "is" "kind" "-")
The cow is cold.
Unknown
random
[@0: The cow is cold.[CWA. Example of deepest failure = (FAIL)]]
("cow" "is" "cold" "+")
The cow does not chase the cow.
Unknown
inv-random
[@0: The cow chases the cow.[CWA. Example of deepest failure = (FAIL)]]
("cow" "chases" "cow" "-")
The lion needs the lion.
Unknown
random
[@0: The lion needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("lion" "needs" "lion" "+")
The cow does not chase the lion.
Unknown
inv-random
[@0: The cow chases the lion.[CWA. Example of deepest failure = (FAIL)]]
("cow" "chases" "lion" "-")
The dog visits the dog.
Unknown
random
[@0: The dog visits the dog.[CWA. Example of deepest failure = (FAIL)]]
("dog" "visits" "dog" "+")
@0: The bear does not chase the cow.[(triple1)] The bear needs the cow.[(triple2)] The cow chases the bear.[(triple3)] The dog is green.[(triple4)] The dog needs the bear.[(triple5)] The lion chases the bear.[(triple6)] The lion chases the dog.[(triple7)] The lion needs the cow.[(triple8)] The lion visits the bear.[(triple9)] The lion visits the dog.[(triple10)] @1: The bear is red.[(((triple2) -> rule7))] The dog visits the lion.[(((triple4) -> rule4))] The lion is red.[(((triple8) -> rule7))] @2: The lion needs the bear.[(((((triple4) -> rule4)) -> rule5))] @3: The dog visits the cow.[(((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3))] @4: The cow is green.[(((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1))] @5: The cow visits the lion.[(((((((triple7 ((((triple4) -> rule4)) -> rule5)) -> rule3)) -> rule1)) -> rule4))]
The bear does not chase the cow.
("bear" "chases" "cow" "-")
triple1
The bear needs the cow.
("bear" "needs" "cow" "+")
triple2
The cow chases the bear.
("cow" "chases" "bear" "+")
triple3
The dog is green.
("dog" "is" "green" "+")
triple4
The dog needs the bear.
("dog" "needs" "bear" "+")
triple5
The lion chases the bear.
("lion" "chases" "bear" "+")
triple6
The lion chases the dog.
("lion" "chases" "dog" "+")
triple7
The lion needs the cow.
("lion" "needs" "cow" "+")
triple8
The lion visits the bear.
("lion" "visits" "bear" "+")
triple9
The lion visits the dog.
("lion" "visits" "dog" "+")
triple10
The bear is red.
("bear" "is" "red" "+")
((triple2) -> (rule7 % int1))
The bear is red.
("bear" "is" "red" "+")
int1
The dog visits the lion.
("dog" "visits" "lion" "+")
((triple4) -> (rule4 % int1))
The dog visits the lion.
("dog" "visits" "lion" "+")
int1
The lion is red.
("lion" "is" "red" "+")
((triple8) -> (rule7 % int1))
The lion is red.
("lion" "is" "red" "+")
int1
The lion needs the bear.
("lion" "needs" "bear" "+")
((((triple4) -> (rule4 % int2))) -> (rule5 % int1))
The lion needs the bear.
("lion" "needs" "bear" "+")
int1
The dog visits the lion.
("dog" "visits" "lion" "+")
int2
The dog visits the cow.
("dog" "visits" "cow" "+")
((triple7 ((((triple4) -> (rule4 % int3))) -> (rule5 % int2))) -> (rule3 % int1))
The dog visits the cow.
("dog" "visits" "cow" "+")
int1
The lion needs the bear.
("lion" "needs" "bear" "+")
int2
The dog visits the lion.
("dog" "visits" "lion" "+")
int3
The cow is green.
("cow" "is" "green" "+")
((((triple7 ((((triple4) -> (rule4 % int4))) -> (rule5 % int3))) -> (rule3 % int2))) -> (rule1 % int1))
The cow is green.
("cow" "is" "green" "+")
int1
The dog visits the cow.
("dog" "visits" "cow" "+")
int2
The lion needs the bear.
("lion" "needs" "bear" "+")
int3
The dog visits the lion.
("dog" "visits" "lion" "+")
int4
The cow visits the lion.
("cow" "visits" "lion" "+")
((((((triple7 ((((triple4) -> (rule4 % int5))) -> (rule5 % int4))) -> (rule3 % int3))) -> (rule1 % int2))) -> (rule4 % int1))
The cow visits the lion.
("cow" "visits" "lion" "+")
int1
The cow is green.
("cow" "is" "green" "+")
int2
The dog visits the cow.
("dog" "visits" "cow" "+")
int3
The lion needs the bear.
("lion" "needs" "bear" "+")
int4
The dog visits the lion.
("dog" "visits" "lion" "+")
int5