The bald eagle chases the tiger. The bald eagle is round. The bald eagle likes the bear. The bald eagle likes the tiger. The bear likes the tiger. The bear needs the bald eagle. The cow chases the tiger. The cow is green. The cow is red. The cow does not need the bald eagle. The tiger likes the cow. If the bald eagle likes the bear then the bald eagle is young. If something is cold then it needs the tiger. If something chases the bear and the bear needs the bald eagle then it needs the cow. If something needs the bald eagle then it is cold. If something is round and it needs the bald eagle then the bald eagle does not need the cow. If something is cold and it needs the tiger then the tiger needs the bald eagle. If something needs the cow then the cow needs the bear.
The bald eagle chases the tiger.
("bald eagle" "chases" "tiger" "+")
The bald eagle is round.
("bald eagle" "is" "round" "+")
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
The bald eagle likes the tiger.
("bald eagle" "likes" "tiger" "+")
The bear likes the tiger.
("bear" "likes" "tiger" "+")
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
The cow chases the tiger.
("cow" "chases" "tiger" "+")
The cow is green.
("cow" "is" "green" "+")
The cow is red.
("cow" "is" "red" "+")
The cow does not need the bald eagle.
("cow" "needs" "bald eagle" "-")
The tiger likes the cow.
("tiger" "likes" "cow" "+")
If the bald eagle likes the bear then the bald eagle is young.
((("bald eagle" "likes" "bear" "+")) -> ("bald eagle" "is" "young" "+"))
If something is cold then it needs the tiger.
((("something" "is" "cold" "+")) -> ("something" "needs" "tiger" "+"))
If something chases the bear and the bear needs the bald eagle then it needs the cow.
((("something" "chases" "bear" "+") ("bear" "needs" "bald eagle" "+")) -> ("something" "needs" "cow" "+"))
If something needs the bald eagle then it is cold.
((("something" "needs" "bald eagle" "+")) -> ("something" "is" "cold" "+"))
If something is round and it needs the bald eagle then the bald eagle does not need the cow.
((("something" "is" "round" "+") ("something" "needs" "bald eagle" "+")) -> ("bald eagle" "needs" "cow" "-"))
If something is cold and it needs the tiger then the tiger needs the bald eagle.
((("something" "is" "cold" "+") ("something" "needs" "tiger" "+")) -> ("tiger" "needs" "bald eagle" "+"))
If something needs the cow then the cow needs the bear.
((("something" "needs" "cow" "+")) -> ("cow" "needs" "bear" "+"))
The cow does not need the bald eagle.
True
1
proof
[(triple10)]
("cow" "needs" "bald eagle" "-")
triple10
The cow is not red.
False
1
inv-proof
[(triple9)]
("cow" "is" "red" "-")
triple9
The bald eagle is young.
True
2
proof
[(((triple3) -> rule1))]
("bald eagle" "is" "young" "+")
((triple3) -> (rule1 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The bear is not cold.
False
2
inv-proof
[(((triple6) -> rule4))]
("bear" "is" "cold" "-")
((triple6) -> (rule4 % int1))
The bear is cold.
("bear" "is" "cold" "+")
int1
The bear needs the tiger.
True
3
proof
[(((((triple6) -> rule4)) -> rule2))]
("bear" "needs" "tiger" "+")
((((triple6) -> (rule4 % int2))) -> (rule2 % int1))
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int1
The bear is cold.
("bear" "is" "cold" "+")
int2
The bear does not need the tiger.
False
3
inv-proof
[(((((triple6) -> rule4)) -> rule2))]
("bear" "needs" "tiger" "-")
((((triple6) -> (rule4 % int2))) -> (rule2 % int1))
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int1
The bear is cold.
("bear" "is" "cold" "+")
int2
The tiger needs the bald eagle.
True
6
proof
[(((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6))]
("tiger" "needs" "bald eagle" "+")
((((triple6) -> (rule4 % int3)) ((((triple6) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int1
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int2
The bear is cold.
("bear" "is" "cold" "+")
int3
The tiger does not need the bald eagle.
False
6
inv-proof
[(((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6))]
("tiger" "needs" "bald eagle" "-")
((((triple6) -> (rule4 % int3)) ((((triple6) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int1
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int2
The bear is cold.
("bear" "is" "cold" "+")
int3
The tiger is cold.
True
7
proof
[(((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4))]
("tiger" "is" "cold" "+")
((((((triple6) -> (rule4 % int4)) ((((triple6) -> (rule4 % int4))) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The tiger is cold.
("tiger" "is" "cold" "+")
int1
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int2
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int3
The bear is cold.
("bear" "is" "cold" "+")
int4
The tiger is not cold.
False
7
inv-proof
[(((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4))]
("tiger" "is" "cold" "-")
((((((triple6) -> (rule4 % int4)) ((((triple6) -> (rule4 % int4))) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The tiger is cold.
("tiger" "is" "cold" "+")
int1
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int2
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int3
The bear is cold.
("bear" "is" "cold" "+")
int4
The tiger needs the tiger.
True
8
proof
[(((((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4)) -> rule2))]
("tiger" "needs" "tiger" "+")
((((((((triple6) -> (rule4 % int5)) ((((triple6) -> (rule4 % int5))) -> (rule2 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule2 % int1))
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
int1
The tiger is cold.
("tiger" "is" "cold" "+")
int2
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int3
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int4
The bear is cold.
("bear" "is" "cold" "+")
int5
The tiger does not need the tiger.
False
8
inv-proof
[(((((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4)) -> rule2))]
("tiger" "needs" "tiger" "-")
((((((((triple6) -> (rule4 % int5)) ((((triple6) -> (rule4 % int5))) -> (rule2 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule2 % int1))
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
int1
The tiger is cold.
("tiger" "is" "cold" "+")
int2
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int3
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int4
The bear is cold.
("bear" "is" "cold" "+")
int5
The cow does not need the tiger.
Unknown
inv-rconc
[@2: The cow needs the tiger.[CWA. Example of deepest failure = (rule2 <- rule4 <- FAIL)]]
("cow" "needs" "tiger" "-")
The bald eagle is cold.
Unknown
rconc
[@1: The bald eagle is cold.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("bald eagle" "is" "cold" "+")
The tiger does not need the cow.
Unknown
inv-rconc
[@1: The tiger needs the cow.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("tiger" "needs" "cow" "-")
The bald eagle needs the tiger.
Unknown
rconc
[@2: The bald eagle needs the tiger.[CWA. Example of deepest failure = (rule2 <- rule4 <- FAIL)]]
("bald eagle" "needs" "tiger" "+")
The cow does not need the cow.
Unknown
inv-rconc
[@1: The cow needs the cow.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("cow" "needs" "cow" "-")
The bear needs the cow.
Unknown
rconc
[@1: The bear needs the cow.[CWA. Example of deepest failure = (rule3 <- FAIL)]]
("bear" "needs" "cow" "+")
The bald eagle is not red.
Unknown
inv-random
[@0: The bald eagle is red.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "red" "-")
The cow likes the cow.
Unknown
random
[@0: The cow likes the cow.[CWA. Example of deepest failure = (FAIL)]]
("cow" "likes" "cow" "+")
The bald eagle does not like the cow.
Unknown
inv-random
[@0: The bald eagle likes the cow.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "likes" "cow" "-")
The bald eagle chases the cow.
Unknown
random
[@0: The bald eagle chases the cow.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "chases" "cow" "+")
The tiger is not red.
Unknown
inv-random
[@0: The tiger is red.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "is" "red" "-")
The tiger likes the bear.
Unknown
random
[@0: The tiger likes the bear.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "likes" "bear" "+")
@0: The bald eagle chases the tiger.[(triple1)] The bald eagle is round.[(triple2)] The bald eagle likes the bear.[(triple3)] The bald eagle likes the tiger.[(triple4)] The bear likes the tiger.[(triple5)] The bear needs the bald eagle.[(triple6)] The cow chases the tiger.[(triple7)] The cow does not need the bald eagle.[(triple10)] The cow is green.[(triple8)] The cow is red.[(triple9)] The tiger likes the cow.[(triple11)] @1: The bald eagle is young.[(((triple3) -> rule1))] The bear is cold.[(((triple6) -> rule4))] @2: The bear needs the tiger.[(((((triple6) -> rule4)) -> rule2))] @3: The tiger needs the bald eagle.[(((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6))] @4: The tiger is cold.[(((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4))] @5: The tiger needs the tiger.[(((((((((triple6) -> rule4) ((((triple6) -> rule4)) -> rule2)) -> rule6)) -> rule4)) -> rule2))]
The bald eagle chases the tiger.
("bald eagle" "chases" "tiger" "+")
triple1
The bald eagle is round.
("bald eagle" "is" "round" "+")
triple2
The bald eagle likes the bear.
("bald eagle" "likes" "bear" "+")
triple3
The bald eagle likes the tiger.
("bald eagle" "likes" "tiger" "+")
triple4
The bear likes the tiger.
("bear" "likes" "tiger" "+")
triple5
The bear needs the bald eagle.
("bear" "needs" "bald eagle" "+")
triple6
The cow chases the tiger.
("cow" "chases" "tiger" "+")
triple7
The cow does not need the bald eagle.
("cow" "needs" "bald eagle" "-")
triple10
The cow is green.
("cow" "is" "green" "+")
triple8
The cow is red.
("cow" "is" "red" "+")
triple9
The tiger likes the cow.
("tiger" "likes" "cow" "+")
triple11
The bald eagle is young.
("bald eagle" "is" "young" "+")
((triple3) -> (rule1 % int1))
The bald eagle is young.
("bald eagle" "is" "young" "+")
int1
The bear is cold.
("bear" "is" "cold" "+")
((triple6) -> (rule4 % int1))
The bear is cold.
("bear" "is" "cold" "+")
int1
The bear needs the tiger.
("bear" "needs" "tiger" "+")
((((triple6) -> (rule4 % int2))) -> (rule2 % int1))
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int1
The bear is cold.
("bear" "is" "cold" "+")
int2
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
((((triple6) -> (rule4 % int3)) ((((triple6) -> (rule4 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int1
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int2
The bear is cold.
("bear" "is" "cold" "+")
int3
The tiger is cold.
("tiger" "is" "cold" "+")
((((((triple6) -> (rule4 % int4)) ((((triple6) -> (rule4 % int4))) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule4 % int1))
The tiger is cold.
("tiger" "is" "cold" "+")
int1
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int2
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int3
The bear is cold.
("bear" "is" "cold" "+")
int4
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
((((((((triple6) -> (rule4 % int5)) ((((triple6) -> (rule4 % int5))) -> (rule2 % int4))) -> (rule6 % int3))) -> (rule4 % int2))) -> (rule2 % int1))
The tiger needs the tiger.
("tiger" "needs" "tiger" "+")
int1
The tiger is cold.
("tiger" "is" "cold" "+")
int2
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
int3
The bear needs the tiger.
("bear" "needs" "tiger" "+")
int4
The bear is cold.
("bear" "is" "cold" "+")
int5