The bald eagle chases the cow. The bald eagle is blue. The bald eagle is cold. The bald eagle is nice. The bald eagle is red. The bald eagle is young. The bald eagle needs the cow. The bald eagle sees the cow. The cow chases the bald eagle. The cow is blue. The cow is cold. The cow is nice. The cow is red. The cow is young. The cow needs the bald eagle. The cow sees the bald eagle. If someone is nice and they chase the bald eagle then they need the bald eagle. If the bald eagle sees the cow then the cow chases the bald eagle. If someone chases the cow then the cow needs the bald eagle. If the cow needs the bald eagle and the bald eagle needs the cow then the bald eagle is red. If someone needs the cow then the cow is cold. If someone needs the bald eagle and the bald eagle sees the cow then the bald eagle chases the cow. If someone is blue then they need the cow. If someone chases the cow then the cow is nice.
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
The bald eagle is red.
("bald eagle" "is" "red" "+")
The bald eagle is young.
("bald eagle" "is" "young" "+")
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
The bald eagle sees the cow.
("bald eagle" "sees" "cow" "+")
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
The cow is blue.
("cow" "is" "blue" "+")
The cow is cold.
("cow" "is" "cold" "+")
The cow is nice.
("cow" "is" "nice" "+")
The cow is red.
("cow" "is" "red" "+")
The cow is young.
("cow" "is" "young" "+")
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
If someone is nice and they chase the bald eagle then they need the bald eagle.
((("someone" "is" "nice" "+") ("someone" "chases" "bald eagle" "+")) -> ("someone" "needs" "bald eagle" "+"))
If the bald eagle sees the cow then the cow chases the bald eagle.
((("bald eagle" "sees" "cow" "+")) -> ("cow" "chases" "bald eagle" "+"))
If someone chases the cow then the cow needs the bald eagle.
((("someone" "chases" "cow" "+")) -> ("cow" "needs" "bald eagle" "+"))
If the cow needs the bald eagle and the bald eagle needs the cow then the bald eagle is red.
((("cow" "needs" "bald eagle" "+") ("bald eagle" "needs" "cow" "+")) -> ("bald eagle" "is" "red" "+"))
If someone needs the cow then the cow is cold.
((("someone" "needs" "cow" "+")) -> ("cow" "is" "cold" "+"))
If someone needs the bald eagle and the bald eagle sees the cow then the bald eagle chases the cow.
((("someone" "needs" "bald eagle" "+") ("bald eagle" "sees" "cow" "+")) -> ("bald eagle" "chases" "cow" "+"))
If someone is blue then they need the cow.
((("someone" "is" "blue" "+")) -> ("someone" "needs" "cow" "+"))
If someone chases the cow then the cow is nice.
((("someone" "chases" "cow" "+")) -> ("cow" "is" "nice" "+"))
The cow needs the bald eagle.
True
1
proof
[(triple15 OR ((triple1) -> rule3) OR ((triple12 triple9) -> rule1) OR ((triple12 ((triple8) -> rule2)) -> rule1) OR ((((triple1) -> rule8) triple9) -> rule1) OR ((((triple1) -> rule8) ((triple8) -> rule2)) -> rule1))]
("cow" "needs" "bald eagle" "+")
triple15
((triple1) -> (rule3 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
((((triple1) -> (rule8 % int2)) triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
((((triple1) -> (rule8 % int3)) ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow does not need the bald eagle.
False
1
inv-proof
[(triple15 OR ((triple1) -> rule3) OR ((triple12 triple9) -> rule1) OR ((triple12 ((triple8) -> rule2)) -> rule1) OR ((((triple1) -> rule8) triple9) -> rule1) OR ((((triple1) -> rule8) ((triple8) -> rule2)) -> rule1))]
("cow" "needs" "bald eagle" "-")
triple15
((triple1) -> (rule3 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
((((triple1) -> (rule8 % int2)) triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
((((triple1) -> (rule8 % int3)) ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The bald eagle does not need the bald eagle.
Unknown
inv-rconc
[@1: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("bald eagle" "needs" "bald eagle" "-")
The bald eagle chases the bald eagle.
Unknown
random
[@0: The bald eagle chases the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "chases" "bald eagle" "+")
@0: The bald eagle chases the cow.[(triple1 OR ((triple15 triple8) -> rule6) OR ((((triple12 triple9) -> rule1) triple8) -> rule6) OR ((((triple12 ((triple8) -> rule2)) -> rule1) triple8) -> rule6))] The bald eagle is blue.[(triple2)] The bald eagle is cold.[(triple3)] The bald eagle is nice.[(triple4)] The bald eagle is red.[(triple5 OR ((triple15 triple7) -> rule4) OR ((triple15 ((triple2) -> rule7)) -> rule4) OR ((((triple1) -> rule3) triple7) -> rule4) OR ((((triple12 triple9) -> rule1) triple7) -> rule4) OR ((((triple1) -> rule3) ((triple2) -> rule7)) -> rule4) OR ((((triple12 triple9) -> rule1) ((triple2) -> rule7)) -> rule4) OR ((((triple12 ((triple8) -> rule2)) -> rule1) triple7) -> rule4) OR ((((((triple1) -> rule8) triple9) -> rule1) triple7) -> rule4) OR ((((triple12 ((triple8) -> rule2)) -> rule1) ((triple2) -> rule7)) -> rule4) OR ((((((triple1) -> rule8) triple9) -> rule1) ((triple2) -> rule7)) -> rule4) OR ((((((triple1) -> rule8) ((triple8) -> rule2)) -> rule1) triple7) -> rule4) OR ((((((triple1) -> rule8) ((triple8) -> rule2)) -> rule1) ((triple2) -> rule7)) -> rule4))] The bald eagle is young.[(triple6)] The bald eagle needs the cow.[(triple7 OR ((triple2) -> rule7))] The bald eagle sees the cow.[(triple8)] The cow chases the bald eagle.[(triple9 OR ((triple8) -> rule2))] The cow is blue.[(triple10)] The cow is cold.[(triple11 OR ((triple7) -> rule5) OR ((((triple10) -> rule7)) -> rule5) OR ((((triple2) -> rule7)) -> rule5))] The cow is nice.[(triple12 OR ((triple1) -> rule8) OR ((((triple15 triple8) -> rule6)) -> rule8))] The cow is red.[(triple13)] The cow is young.[(triple14)] The cow needs the bald eagle.[(triple15 OR ((triple1) -> rule3) OR ((triple12 triple9) -> rule1) OR ((triple12 ((triple8) -> rule2)) -> rule1) OR ((((triple1) -> rule8) triple9) -> rule1) OR ((((triple1) -> rule8) ((triple8) -> rule2)) -> rule1))] The cow sees the bald eagle.[(triple16)] @1: The cow needs the cow.[(((triple10) -> rule7))]
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
triple1
((triple15 triple8) -> (rule6 % int1))
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
int1
((((triple12 triple9) -> (rule1 % int2)) triple8) -> (rule6 % int1))
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
((((triple12 ((triple8) -> (rule2 % int3))) -> (rule1 % int2)) triple8) -> (rule6 % int1))
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int3
The bald eagle is blue.
("bald eagle" "is" "blue" "+")
triple2
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
triple3
The bald eagle is nice.
("bald eagle" "is" "nice" "+")
triple4
The bald eagle is red.
("bald eagle" "is" "red" "+")
triple5
((triple15 triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
((triple15 ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
((((triple1) -> (rule3 % int2)) triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
((((triple12 triple9) -> (rule1 % int2)) triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
((((triple1) -> (rule3 % int3)) ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int3
((((triple12 triple9) -> (rule1 % int3)) ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int3
((((triple12 ((triple8) -> (rule2 % int3))) -> (rule1 % int2)) triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int3
((((((triple1) -> (rule8 % int3)) triple9) -> (rule1 % int2)) triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
((((triple12 ((triple8) -> (rule2 % int4))) -> (rule1 % int3)) ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int3
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int4
((((((triple1) -> (rule8 % int4)) triple9) -> (rule1 % int3)) ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
((((((triple1) -> (rule8 % int4)) ((triple8) -> (rule2 % int3))) -> (rule1 % int2)) triple7) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int2
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int3
The cow is nice.
("cow" "is" "nice" "+")
int4
((((((triple1) -> (rule8 % int5)) ((triple8) -> (rule2 % int4))) -> (rule1 % int3)) ((triple2) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle is red.
("bald eagle" "is" "red" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int3
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int4
The cow is nice.
("cow" "is" "nice" "+")
int5
The bald eagle is young.
("bald eagle" "is" "young" "+")
triple6
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
triple7
((triple2) -> (rule7 % int1))
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int1
The bald eagle sees the cow.
("bald eagle" "sees" "cow" "+")
triple8
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
triple9
((triple8) -> (rule2 % int1))
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int1
The cow is blue.
("cow" "is" "blue" "+")
triple10
The cow is cold.
("cow" "is" "cold" "+")
triple11
((triple7) -> (rule5 % int1))
The cow is cold.
("cow" "is" "cold" "+")
int1
((((triple10) -> (rule7 % int2))) -> (rule5 % int1))
The cow is cold.
("cow" "is" "cold" "+")
int1
The cow needs the cow.
("cow" "needs" "cow" "+")
int2
((((triple2) -> (rule7 % int2))) -> (rule5 % int1))
The cow is cold.
("cow" "is" "cold" "+")
int1
The bald eagle needs the cow.
("bald eagle" "needs" "cow" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
triple12
((triple1) -> (rule8 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
((((triple15 triple8) -> (rule6 % int2))) -> (rule8 % int1))
The cow is nice.
("cow" "is" "nice" "+")
int1
The bald eagle chases the cow.
("bald eagle" "chases" "cow" "+")
int2
The cow is red.
("cow" "is" "red" "+")
triple13
The cow is young.
("cow" "is" "young" "+")
triple14
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
triple15
((triple1) -> (rule3 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
((triple12 ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
((((triple1) -> (rule8 % int2)) triple9) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow is nice.
("cow" "is" "nice" "+")
int2
((((triple1) -> (rule8 % int3)) ((triple8) -> (rule2 % int2))) -> (rule1 % int1))
The cow needs the bald eagle.
("cow" "needs" "bald eagle" "+")
int1
The cow chases the bald eagle.
("cow" "chases" "bald eagle" "+")
int2
The cow is nice.
("cow" "is" "nice" "+")
int3
The cow sees the bald eagle.
("cow" "sees" "bald eagle" "+")
triple16
The cow needs the cow.
("cow" "needs" "cow" "+")
((triple10) -> (rule7 % int1))
The cow needs the cow.
("cow" "needs" "cow" "+")
int1