The cow chases the mouse. The cow sees the mouse. The mouse sees the cow. If something sees the mouse then it is kind. If something is rough then it chases the cow. If something sees the mouse and the mouse chases the cow then the cow sees the mouse. If something likes the cow and it sees the cow then the cow is red. If the mouse chases the cow then the cow is young. If something is rough then it likes the cow. If something chases the cow then it sees the mouse. If the mouse sees the cow then the mouse chases the cow.
The cow chases the mouse.
("cow" "chases" "mouse" "+")
The cow sees the mouse.
("cow" "sees" "mouse" "+")
The mouse sees the cow.
("mouse" "sees" "cow" "+")
If something sees the mouse then it is kind.
((("something" "sees" "mouse" "+")) -> ("something" "is" "kind" "+"))
If something is rough then it chases the cow.
((("something" "is" "rough" "+")) -> ("something" "chases" "cow" "+"))
If something sees the mouse and the mouse chases the cow then the cow sees the mouse.
((("something" "sees" "mouse" "+") ("mouse" "chases" "cow" "+")) -> ("cow" "sees" "mouse" "+"))
If something likes the cow and it sees the cow then the cow is red.
((("something" "likes" "cow" "+") ("something" "sees" "cow" "+")) -> ("cow" "is" "red" "+"))
If the mouse chases the cow then the cow is young.
((("mouse" "chases" "cow" "+")) -> ("cow" "is" "young" "+"))
If something is rough then it likes the cow.
((("something" "is" "rough" "+")) -> ("something" "likes" "cow" "+"))
If something chases the cow then it sees the mouse.
((("something" "chases" "cow" "+")) -> ("something" "sees" "mouse" "+"))
If the mouse sees the cow then the mouse chases the cow.
((("mouse" "sees" "cow" "+")) -> ("mouse" "chases" "cow" "+"))
The mouse sees the cow.
True
1
proof
[(triple3)]
("mouse" "sees" "cow" "+")
triple3
The cow does not chase the mouse.
False
1
inv-proof
[(triple1)]
("cow" "chases" "mouse" "-")
triple1
The mouse chases the cow.
True
2
proof
[(((triple3) -> rule8))]
("mouse" "chases" "cow" "+")
((triple3) -> (rule8 % int1))
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int1
The cow is not kind.
False
2
inv-proof
[(((triple2) -> rule1) OR ((((((((triple3) -> rule8)) -> rule7) ((triple3) -> rule8)) -> rule3)) -> rule1))]
("cow" "is" "kind" "-")
((triple2) -> (rule1 % int1))
The cow is kind.
("cow" "is" "kind" "+")
int1
((((((((triple3) -> (rule8 % int4))) -> (rule7 % int3)) ((triple3) -> (rule8 % int4))) -> (rule3 % int2))) -> (rule1 % int1))
The cow is kind.
("cow" "is" "kind" "+")
int1
The cow sees the mouse.
("cow" "sees" "mouse" "+")
int2
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int3
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int4
The mouse sees the mouse.
True
3
proof
[(((((triple3) -> rule8)) -> rule7))]
("mouse" "sees" "mouse" "+")
((((triple3) -> (rule8 % int2))) -> (rule7 % int1))
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int1
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int2
The cow is not young.
False
3
inv-proof
[(((((triple3) -> rule8)) -> rule5))]
("cow" "is" "young" "-")
((((triple3) -> (rule8 % int2))) -> (rule5 % int1))
The cow is young.
("cow" "is" "young" "+")
int1
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int2
The mouse is kind.
True
4
proof
[(((((((triple3) -> rule8)) -> rule7)) -> rule1))]
("mouse" "is" "kind" "+")
((((((triple3) -> (rule8 % int3))) -> (rule7 % int2))) -> (rule1 % int1))
The mouse is kind.
("mouse" "is" "kind" "+")
int1
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int2
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int3
The mouse is not kind.
False
4
inv-proof
[(((((((triple3) -> rule8)) -> rule7)) -> rule1))]
("mouse" "is" "kind" "-")
((((((triple3) -> (rule8 % int3))) -> (rule7 % int2))) -> (rule1 % int1))
The mouse is kind.
("mouse" "is" "kind" "+")
int1
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int2
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int3
The mouse does not like the cow.
Unknown
inv-rconc
[@1: The mouse likes the cow.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("mouse" "likes" "cow" "-")
The cow chases the cow.
Unknown
rconc
[@1: The cow chases the cow.[CWA. Example of deepest failure = (rule2 <- FAIL)]]
("cow" "chases" "cow" "+")
The cow is not red.
Unknown
inv-rconc
[@2: The cow is red.[CWA. Example of deepest failure = (rule4 <- rule6 <- FAIL)]]
("cow" "is" "red" "-")
The cow likes the cow.
Unknown
rconc
[@1: The cow likes the cow.[CWA. Example of deepest failure = (rule6 <- FAIL)]]
("cow" "likes" "cow" "+")
The mouse is not young.
Unknown
inv-random
[@0: The mouse is young.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "is" "young" "-")
The mouse is rough.
Unknown
random
[@0: The mouse is rough.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "is" "rough" "+")
The cow is not rough.
Unknown
inv-random
[@0: The cow is rough.[CWA. Example of deepest failure = (FAIL)]]
("cow" "is" "rough" "-")
The mouse is red.
Unknown
random
[@0: The mouse is red.[CWA. Example of deepest failure = (FAIL)]]
("mouse" "is" "red" "+")
@0: The cow chases the mouse.[(triple1)] The cow sees the mouse.[(triple2 OR ((((((triple3) -> rule8)) -> rule7) ((triple3) -> rule8)) -> rule3))] The mouse sees the cow.[(triple3)] @1: The cow is kind.[(((triple2) -> rule1) OR ((((((((triple3) -> rule8)) -> rule7) ((triple3) -> rule8)) -> rule3)) -> rule1))] The mouse chases the cow.[(((triple3) -> rule8))] @2: The cow is young.[(((((triple3) -> rule8)) -> rule5))] The mouse sees the mouse.[(((((triple3) -> rule8)) -> rule7))] @3: The mouse is kind.[(((((((triple3) -> rule8)) -> rule7)) -> rule1))]
The cow chases the mouse.
("cow" "chases" "mouse" "+")
triple1
The cow sees the mouse.
("cow" "sees" "mouse" "+")
triple2
((((((triple3) -> (rule8 % int3))) -> (rule7 % int2)) ((triple3) -> (rule8 % int3))) -> (rule3 % int1))
The cow sees the mouse.
("cow" "sees" "mouse" "+")
int1
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int2
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int3
The mouse sees the cow.
("mouse" "sees" "cow" "+")
triple3
The cow is kind.
("cow" "is" "kind" "+")
((triple2) -> (rule1 % int1))
The cow is kind.
("cow" "is" "kind" "+")
int1
((((((((triple3) -> (rule8 % int4))) -> (rule7 % int3)) ((triple3) -> (rule8 % int4))) -> (rule3 % int2))) -> (rule1 % int1))
The cow is kind.
("cow" "is" "kind" "+")
int1
The cow sees the mouse.
("cow" "sees" "mouse" "+")
int2
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int3
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int4
The mouse chases the cow.
("mouse" "chases" "cow" "+")
((triple3) -> (rule8 % int1))
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int1
The cow is young.
("cow" "is" "young" "+")
((((triple3) -> (rule8 % int2))) -> (rule5 % int1))
The cow is young.
("cow" "is" "young" "+")
int1
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int2
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
((((triple3) -> (rule8 % int2))) -> (rule7 % int1))
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int1
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int2
The mouse is kind.
("mouse" "is" "kind" "+")
((((((triple3) -> (rule8 % int3))) -> (rule7 % int2))) -> (rule1 % int1))
The mouse is kind.
("mouse" "is" "kind" "+")
int1
The mouse sees the mouse.
("mouse" "sees" "mouse" "+")
int2
The mouse chases the cow.
("mouse" "chases" "cow" "+")
int3