The bald eagle is big. The bald eagle visits the lion. The bald eagle visits the rabbit. The lion eats the mouse. The lion is red. The mouse is cold. The mouse visits the lion. The rabbit is red. The rabbit needs the lion. The rabbit needs the mouse. If someone is young then they visit the bald eagle. If someone is kind then they eat the mouse. If someone visits the rabbit and the rabbit visits the bald eagle then the rabbit is young. If someone is cold then they need the rabbit. If someone visits the bald eagle and the bald eagle needs the lion then the lion is young. If someone visits the lion then they need the mouse. If someone visits the bald eagle then the bald eagle is cold. If someone needs the mouse then the mouse is young.
The bald eagle is big.
("bald eagle" "is" "big" "+")
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
The lion eats the mouse.
("lion" "eats" "mouse" "+")
The lion is red.
("lion" "is" "red" "+")
The mouse is cold.
("mouse" "is" "cold" "+")
The mouse visits the lion.
("mouse" "visits" "lion" "+")
The rabbit is red.
("rabbit" "is" "red" "+")
The rabbit needs the lion.
("rabbit" "needs" "lion" "+")
The rabbit needs the mouse.
("rabbit" "needs" "mouse" "+")
If someone is young then they visit the bald eagle.
((("someone" "is" "young" "+")) -> ("someone" "visits" "bald eagle" "+"))
If someone is kind then they eat the mouse.
((("someone" "is" "kind" "+")) -> ("someone" "eats" "mouse" "+"))
If someone visits the rabbit and the rabbit visits the bald eagle then the rabbit is young.
((("someone" "visits" "rabbit" "+") ("rabbit" "visits" "bald eagle" "+")) -> ("rabbit" "is" "young" "+"))
If someone is cold then they need the rabbit.
((("someone" "is" "cold" "+")) -> ("someone" "needs" "rabbit" "+"))
If someone visits the bald eagle and the bald eagle needs the lion then the lion is young.
((("someone" "visits" "bald eagle" "+") ("bald eagle" "needs" "lion" "+")) -> ("lion" "is" "young" "+"))
If someone visits the lion then they need the mouse.
((("someone" "visits" "lion" "+")) -> ("someone" "needs" "mouse" "+"))
If someone visits the bald eagle then the bald eagle is cold.
((("someone" "visits" "bald eagle" "+")) -> ("bald eagle" "is" "cold" "+"))
If someone needs the mouse then the mouse is young.
((("someone" "needs" "mouse" "+")) -> ("mouse" "is" "young" "+"))
The mouse visits the lion.
True
1
proof
[(triple7)]
("mouse" "visits" "lion" "+")
triple7
The mouse is not cold.
False
1
inv-proof
[(triple6)]
("mouse" "is" "cold" "-")
triple6
The mouse is young.
True
2
proof
[(((triple10) -> rule8) OR ((((triple2) -> rule6)) -> rule8) OR ((((triple7) -> rule6)) -> rule8))]
("mouse" "is" "young" "+")
((triple10) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
((((triple2) -> (rule6 % int2))) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int2
((((triple7) -> (rule6 % int2))) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int2
The bald eagle does not need the mouse.
False
2
inv-proof
[(((triple2) -> rule6))]
("bald eagle" "needs" "mouse" "-")
((triple2) -> (rule6 % int1))
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int1
The mouse visits the bald eagle.
True
3
proof
[(((((triple10) -> rule8)) -> rule1) OR ((((((triple2) -> rule6)) -> rule8)) -> rule1) OR ((((((triple7) -> rule6)) -> rule8)) -> rule1))]
("mouse" "visits" "bald eagle" "+")
((((triple10) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
((((((triple2) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int3
((((((triple7) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int3
The mouse does not visit the bald eagle.
False
3
inv-proof
[(((((triple10) -> rule8)) -> rule1) OR ((((((triple2) -> rule6)) -> rule8)) -> rule1) OR ((((((triple7) -> rule6)) -> rule8)) -> rule1))]
("mouse" "visits" "bald eagle" "-")
((((triple10) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
((((((triple2) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int3
((((((triple7) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int3
The bald eagle is cold.
True
4
proof
[(((((((triple10) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple2) -> rule6)) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple7) -> rule6)) -> rule8)) -> rule1)) -> rule7))]
("bald eagle" "is" "cold" "+")
((((((triple10) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
((((((((triple2) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int4
((((((((triple7) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int4
The bald eagle is not cold.
False
4
inv-proof
[(((((((triple10) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple2) -> rule6)) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple7) -> rule6)) -> rule8)) -> rule1)) -> rule7))]
("bald eagle" "is" "cold" "-")
((((((triple10) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
((((((((triple2) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int4
((((((((triple7) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int4
The lion does not need the rabbit.
Unknown
inv-rconc
[@1: The lion needs the rabbit.[CWA. Example of deepest failure = (rule4 <- FAIL)]]
("lion" "needs" "rabbit" "-")
The mouse eats the mouse.
Unknown
rconc
[@1: The mouse eats the mouse.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("mouse" "eats" "mouse" "+")
The lion does not need the mouse.
Unknown
inv-rconc
[@1: The lion needs the mouse.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("lion" "needs" "mouse" "-")
The rabbit is young.
Unknown
rconc
[@2: The rabbit is young.[CWA. Example of deepest failure = (rule3 <- rule1 <- FAIL)]]
("rabbit" "is" "young" "+")
The bald eagle does not need the lion.
Unknown
inv-random
[@0: The bald eagle needs the lion.[CWA. Example of deepest failure = (FAIL)]]
("bald eagle" "needs" "lion" "-")
The rabbit visits the rabbit.
Unknown
random
[@0: The rabbit visits the rabbit.[CWA. Example of deepest failure = (FAIL)]]
("rabbit" "visits" "rabbit" "+")
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 lion eats the bald eagle.
Unknown
random
[@0: The lion eats the bald eagle.[CWA. Example of deepest failure = (FAIL)]]
("lion" "eats" "bald eagle" "+")
@0: The bald eagle is big.[(triple1)] The bald eagle visits the lion.[(triple2)] The bald eagle visits the rabbit.[(triple3)] The lion eats the mouse.[(triple4)] The lion is red.[(triple5)] The mouse is cold.[(triple6)] The mouse visits the lion.[(triple7)] The rabbit is red.[(triple8)] The rabbit needs the lion.[(triple9)] The rabbit needs the mouse.[(triple10)] @1: The bald eagle needs the mouse.[(((triple2) -> rule6))] The mouse is young.[(((triple10) -> rule8) OR ((((triple2) -> rule6)) -> rule8) OR ((((triple7) -> rule6)) -> rule8))] The mouse needs the mouse.[(((triple7) -> rule6))] The mouse needs the rabbit.[(((triple6) -> rule4))] @2: The mouse visits the bald eagle.[(((((triple10) -> rule8)) -> rule1) OR ((((((triple2) -> rule6)) -> rule8)) -> rule1) OR ((((((triple7) -> rule6)) -> rule8)) -> rule1))] @3: The bald eagle is cold.[(((((((triple10) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple2) -> rule6)) -> rule8)) -> rule1)) -> rule7) OR ((((((((triple7) -> rule6)) -> rule8)) -> rule1)) -> rule7))] @4: The bald eagle needs the rabbit.[(((((((((triple10) -> rule8)) -> rule1)) -> rule7)) -> rule4) OR ((((((((((triple2) -> rule6)) -> rule8)) -> rule1)) -> rule7)) -> rule4) OR ((((((((((triple7) -> rule6)) -> rule8)) -> rule1)) -> rule7)) -> rule4))]
The bald eagle is big.
("bald eagle" "is" "big" "+")
triple1
The bald eagle visits the lion.
("bald eagle" "visits" "lion" "+")
triple2
The bald eagle visits the rabbit.
("bald eagle" "visits" "rabbit" "+")
triple3
The lion eats the mouse.
("lion" "eats" "mouse" "+")
triple4
The lion is red.
("lion" "is" "red" "+")
triple5
The mouse is cold.
("mouse" "is" "cold" "+")
triple6
The mouse visits the lion.
("mouse" "visits" "lion" "+")
triple7
The rabbit is red.
("rabbit" "is" "red" "+")
triple8
The rabbit needs the lion.
("rabbit" "needs" "lion" "+")
triple9
The rabbit needs the mouse.
("rabbit" "needs" "mouse" "+")
triple10
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
((triple2) -> (rule6 % int1))
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
((triple10) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
((((triple2) -> (rule6 % int2))) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int2
((((triple7) -> (rule6 % int2))) -> (rule8 % int1))
The mouse is young.
("mouse" "is" "young" "+")
int1
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int2
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
((triple7) -> (rule6 % int1))
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int1
The mouse needs the rabbit.
("mouse" "needs" "rabbit" "+")
((triple6) -> (rule4 % int1))
The mouse needs the rabbit.
("mouse" "needs" "rabbit" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
((((triple10) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
((((((triple2) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int3
((((((triple7) -> (rule6 % int3))) -> (rule8 % int2))) -> (rule1 % int1))
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int1
The mouse is young.
("mouse" "is" "young" "+")
int2
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int3
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
((((((triple10) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
((((((((triple2) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int4
((((((((triple7) -> (rule6 % int4))) -> (rule8 % int3))) -> (rule1 % int2))) -> (rule7 % int1))
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int1
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int2
The mouse is young.
("mouse" "is" "young" "+")
int3
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int4
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
((((((((triple10) -> (rule8 % int4))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int3
The mouse is young.
("mouse" "is" "young" "+")
int4
((((((((((triple2) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int3
The mouse is young.
("mouse" "is" "young" "+")
int4
The bald eagle needs the mouse.
("bald eagle" "needs" "mouse" "+")
int5
((((((((((triple7) -> (rule6 % int5))) -> (rule8 % int4))) -> (rule1 % int3))) -> (rule7 % int2))) -> (rule4 % int1))
The bald eagle needs the rabbit.
("bald eagle" "needs" "rabbit" "+")
int1
The bald eagle is cold.
("bald eagle" "is" "cold" "+")
int2
The mouse visits the bald eagle.
("mouse" "visits" "bald eagle" "+")
int3
The mouse is young.
("mouse" "is" "young" "+")
int4
The mouse needs the mouse.
("mouse" "needs" "mouse" "+")
int5