The bald eagle chases the lion. The bald eagle chases the tiger. The bald eagle is big. The bald eagle is kind. The bald eagle needs the tiger. The bald eagle visits the lion. The lion is kind. The lion needs the tiger. The tiger chases the lion. The tiger is blue. The tiger is green. The tiger needs the bald eagle. If something chases the lion and it is round then it is blue. If something is green then it needs the lion. If the tiger needs the bald eagle and the tiger chases the lion then the lion is green. If something chases the bald eagle and it needs the bald eagle then the bald eagle is blue. If something is big then it visits the bald eagle. If something needs the lion then it visits the bald eagle. If something visits the lion then it is green. If something needs the tiger and the tiger visits the bald eagle then the bald eagle visits the lion.
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
The bald eagle chases the tiger.
("bald eagle" "chases" "tiger" "+")
The bald eagle is big.
("bald eagle" "is" "big" "+")
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
The lion is kind.
("lion" "is" "kind" "+")
The lion needs the tiger.
("lion" "needs" "tiger" "+")
The tiger chases the lion.
("tiger" "chases" "lion" "+")
The tiger is blue.
("tiger" "is" "blue" "+")
The tiger is green.
("tiger" "is" "green" "+")
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
If something chases the lion and it is round then it is blue.
((("something" "chases" "lion" "+") ("something" "is" "round" "+")) -> ("something" "is" "blue" "+"))
If something is green then it needs the lion.
((("something" "is" "green" "+")) -> ("something" "needs" "lion" "+"))
If the tiger needs the bald eagle and the tiger chases the lion then the lion is green.
((("tiger" "needs" "bald eagle" "+") ("tiger" "chases" "lion" "+")) -> ("lion" "is" "green" "+"))
If something chases the bald eagle and it needs the bald eagle then the bald eagle is blue.
((("something" "chases" "bald eagle" "+") ("something" "needs" "bald eagle" "+")) -> ("bald eagle" "is" "blue" "+"))
If something is big then it visits the bald eagle.
((("something" "is" "big" "+")) -> ("something" "visits" "bald eagle" "+"))
If something needs the lion then it visits the bald eagle.
((("something" "needs" "lion" "+")) -> ("something" "visits" "bald eagle" "+"))
If something visits the lion then it is green.
((("something" "visits" "lion" "+")) -> ("something" "is" "green" "+"))
If something needs the tiger and the tiger visits the bald eagle then the bald eagle visits the lion.
((("something" "needs" "tiger" "+") ("tiger" "visits" "bald eagle" "+")) -> ("bald eagle" "visits" "lion" "+"))
The bald eagle needs the tiger.
True
1
proof
[(triple5)]
("bald eagle" "needs" "tiger" "+")
triple5
The lion does not need the tiger.
False
1
inv-proof
[(triple8)]
("lion" "needs" "tiger" "-")
triple8
The bald eagle visits the bald eagle.
True
2
proof
[(((triple3) -> rule5) OR ((((((triple6) -> rule7)) -> rule2)) -> rule6) OR ((((((((triple5 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2)) -> rule6) OR ((((((((triple8 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2)) -> rule6))]
("bald eagle" "visits" "bald eagle" "+")
((triple3) -> (rule5 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
((((((triple6) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
((((((((triple5 ((((triple11) -> (rule2 % int6))) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int4
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int5
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int6
((((((((triple8 ((((triple11) -> (rule2 % int6))) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int4
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int5
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int6
The lion is not green.
False
3
inv-proof
[(((triple12 triple9) -> rule3))]
("lion" "is" "green" "-")
((triple12 triple9) -> (rule3 % int1))
The lion is green.
("lion" "is" "green" "+")
int1
The lion needs the lion.
True
4
proof
[(((((triple12 triple9) -> rule3)) -> rule2))]
("lion" "needs" "lion" "+")
((((triple12 triple9) -> (rule3 % int2))) -> (rule2 % int1))
The lion needs the lion.
("lion" "needs" "lion" "+")
int1
The lion is green.
("lion" "is" "green" "+")
int2
The tiger does not visit the bald eagle.
False
3
inv-proof
[(((((triple11) -> rule2)) -> rule6))]
("tiger" "visits" "bald eagle" "-")
((((triple11) -> (rule2 % int2))) -> (rule6 % int1))
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int1
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int2
The lion visits the bald eagle.
True
5
proof
[(((((((triple12 triple9) -> rule3)) -> rule2)) -> rule6))]
("lion" "visits" "bald eagle" "+")
((((((triple12 triple9) -> (rule3 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
int1
The lion needs the lion.
("lion" "needs" "lion" "+")
int2
The lion is green.
("lion" "is" "green" "+")
int3
The lion does not visit the bald eagle.
False
5
inv-proof
[(((((((triple12 triple9) -> rule3)) -> rule2)) -> rule6))]
("lion" "visits" "bald eagle" "-")
((((((triple12 triple9) -> (rule3 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
int1
The lion needs the lion.
("lion" "needs" "lion" "+")
int2
The lion is green.
("lion" "is" "green" "+")
int3
The lion is not blue.
Unknown
inv-rconc
[@1: The lion is blue.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("lion" "is" "blue" "-")
The bald eagle is blue.
Unknown
rconc
[@1: The bald eagle is blue.[CWA. Example of deepest failure = (rule1 <- FAIL)]]
("bald eagle" "is" "blue" "+")
The tiger is not kind.
Unknown
inv-random
[@0: The tiger is kind.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "is" "kind" "-")
The bald eagle is round.
Unknown
random
[@0: The bald eagle is round.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "is" "round" "+")
The bald eagle does not need the bald eagle.
Unknown
inv-random
[@0: The bald eagle needs the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "bald eagle" "-")
The tiger visits the tiger.
Unknown
random
[@0: The tiger visits the tiger.[CWA. Example of deepest failure = (FAIL)]]
("tiger" "visits" "tiger" "+")
The bald eagle does not visit the tiger.
Unknown
inv-random
[@0: The bald eagle visits the tiger.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "visits" "tiger" "-")
The lion chases the tiger.
Unknown
random
[@0: The lion chases the tiger.[CWA. Example of deepest failure = (FAIL)]]
("lion" "chases" "tiger" "+")
@0: The bald eagle chases the lion.[(triple1)] The bald eagle chases the tiger.[(triple2)] The bald eagle is big.[(triple3)] The bald eagle is kind.[(triple4)] The bald eagle needs the tiger.[(triple5)] The bald eagle visits the lion.[(triple6 OR ((triple5 ((((triple11) -> rule2)) -> rule6)) -> rule8) OR ((triple8 ((((triple11) -> rule2)) -> rule6)) -> rule8))] The lion is kind.[(triple7)] The lion needs the tiger.[(triple8)] The tiger chases the lion.[(triple9)] The tiger is blue.[(triple10)] The tiger is green.[(triple11)] The tiger needs the bald eagle.[(triple12)] @1: The bald eagle is green.[(((triple6) -> rule7) OR ((((triple5 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7) OR ((((triple8 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7))] The bald eagle visits the bald eagle.[(((triple3) -> rule5) OR ((((((triple6) -> rule7)) -> rule2)) -> rule6) OR ((((((((triple5 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2)) -> rule6) OR ((((((((triple8 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2)) -> rule6))] The lion is green.[(((triple12 triple9) -> rule3))] The tiger needs the lion.[(((triple11) -> rule2))] @2: The bald eagle needs the lion.[(((((triple6) -> rule7)) -> rule2) OR ((((((triple5 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2) OR ((((((triple8 ((((triple11) -> rule2)) -> rule6)) -> rule8)) -> rule7)) -> rule2))] The lion needs the lion.[(((((triple12 triple9) -> rule3)) -> rule2))] The tiger visits the bald eagle.[(((((triple11) -> rule2)) -> rule6))] @3: The lion visits the bald eagle.[(((((((triple12 triple9) -> rule3)) -> rule2)) -> rule6))]
The bald eagle chases the lion.
("bald eagle" "chases" "lion" "+")
triple1
The bald eagle chases the tiger.
("bald eagle" "chases" "tiger" "+")
triple2
The bald eagle is big.
("bald eagle" "is" "big" "+")
triple3
The bald eagle is kind.
("bald eagle" "is" "kind" "+")
triple4
The bald eagle needs the tiger.
("bald eagle" "needs" "tiger" "+")
triple5
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
triple6
((triple5 ((((triple11) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule8 % int1))
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int1
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int2
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int3
((triple8 ((((triple11) -> (rule2 % int3))) -> (rule6 % int2))) -> (rule8 % int1))
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int1
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int2
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int3
The lion is kind.
("lion" "is" "kind" "+")
triple7
The lion needs the tiger.
("lion" "needs" "tiger" "+")
triple8
The tiger chases the lion.
("tiger" "chases" "lion" "+")
triple9
The tiger is blue.
("tiger" "is" "blue" "+")
triple10
The tiger is green.
("tiger" "is" "green" "+")
triple11
The tiger needs the bald eagle.
("tiger" "needs" "bald eagle" "+")
triple12
The bald eagle is green.
("bald eagle" "is" "green" "+")
((triple6) -> (rule7 % int1))
The bald eagle is green.
("bald eagle" "is" "green" "+")
int1
((((triple5 ((((triple11) -> (rule2 % int4))) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule7 % int1))
The bald eagle is green.
("bald eagle" "is" "green" "+")
int1
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int2
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int3
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int4
((((triple8 ((((triple11) -> (rule2 % int4))) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule7 % int1))
The bald eagle is green.
("bald eagle" "is" "green" "+")
int1
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int2
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int3
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int4
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
((triple3) -> (rule5 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
((((((triple6) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
((((((((triple5 ((((triple11) -> (rule2 % int6))) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int4
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int5
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int6
((((((((triple8 ((((triple11) -> (rule2 % int6))) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule7 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The bald eagle visits the bald eagle.
("bald eagle" "visits" "bald eagle" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int2
The bald eagle is green.
("bald eagle" "is" "green" "+")
int3
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int4
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int5
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int6
The lion is green.
("lion" "is" "green" "+")
((triple12 triple9) -> (rule3 % int1))
The lion is green.
("lion" "is" "green" "+")
int1
The tiger needs the lion.
("tiger" "needs" "lion" "+")
((triple11) -> (rule2 % int1))
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int1
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
((((triple6) -> (rule7 % int2))) -> (rule2 % int1))
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int1
The bald eagle is green.
("bald eagle" "is" "green" "+")
int2
((((((triple5 ((((triple11) -> (rule2 % int5))) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule7 % int2))) -> (rule2 % int1))
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int1
The bald eagle is green.
("bald eagle" "is" "green" "+")
int2
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int3
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int4
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int5
((((((triple8 ((((triple11) -> (rule2 % int5))) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule7 % int2))) -> (rule2 % int1))
The bald eagle needs the lion.
("bald eagle" "needs" "lion" "+")
int1
The bald eagle is green.
("bald eagle" "is" "green" "+")
int2
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
int3
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int4
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int5
The lion needs the lion.
("lion" "needs" "lion" "+")
((((triple12 triple9) -> (rule3 % int2))) -> (rule2 % int1))
The lion needs the lion.
("lion" "needs" "lion" "+")
int1
The lion is green.
("lion" "is" "green" "+")
int2
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
((((triple11) -> (rule2 % int2))) -> (rule6 % int1))
The tiger visits the bald eagle.
("tiger" "visits" "bald eagle" "+")
int1
The tiger needs the lion.
("tiger" "needs" "lion" "+")
int2
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
((((((triple12 triple9) -> (rule3 % int3))) -> (rule2 % int2))) -> (rule6 % int1))
The lion visits the bald eagle.
("lion" "visits" "bald eagle" "+")
int1
The lion needs the lion.
("lion" "needs" "lion" "+")
int2
The lion is green.
("lion" "is" "green" "+")
int3