Gary is red. All blue, red people are nice. All smart, kind people are red. If someone is red then they are blue.
Gary is red.
("Gary" "is" "red" "+")
All blue, red people are nice.
((("someone" "is" "blue" "+") ("someone" "is" "red" "+")) -> ("someone" "is" "nice" "+"))
All smart, kind people are red.
((("someone" "is" "smart" "+") ("someone" "is" "kind" "+")) -> ("someone" "is" "red" "+"))
If someone is red then they are blue.
((("someone" "is" "red" "+")) -> ("someone" "is" "blue" "+"))
Gary is red.
True
1
proof
[(triple1)]
("Gary" "is" "red" "+")
triple1
Gary is not red.
False
1
inv-proof
[(triple1)]
("Gary" "is" "red" "-")
triple1
Gary is blue.
True
2
proof
[(((triple1) -> rule3))]
("Gary" "is" "blue" "+")
((triple1) -> (rule3 % int1))
Gary is blue.
("Gary" "is" "blue" "+")
int1
Gary is not blue.
False
2
inv-proof
[(((triple1) -> rule3))]
("Gary" "is" "blue" "-")
((triple1) -> (rule3 % int1))
Gary is blue.
("Gary" "is" "blue" "+")
int1
Gary is nice.
True
4
proof
[(((((triple1) -> rule3) triple1) -> rule1))]
("Gary" "is" "nice" "+")
((((triple1) -> (rule3 % int2)) triple1) -> (rule1 % int1))
Gary is nice.
("Gary" "is" "nice" "+")
int1
Gary is blue.
("Gary" "is" "blue" "+")
int2
Gary is not nice.
False
4
inv-proof
[(((((triple1) -> rule3) triple1) -> rule1))]
("Gary" "is" "nice" "-")
((((triple1) -> (rule3 % int2)) triple1) -> (rule1 % int1))
Gary is nice.
("Gary" "is" "nice" "+")
int1
Gary is blue.
("Gary" "is" "blue" "+")
int2
Gary is not furry.
Unknown
inv-random
[@0: Gary is furry.[CWA. Example of deepest failure = (FAIL)]]
("Gary" "is" "furry" "-")
Gary is smart.
Unknown
random
[@0: Gary is smart.[CWA. Example of deepest failure = (FAIL)]]
("Gary" "is" "smart" "+")
Gary is not white.
Unknown
inv-random
[@0: Gary is white.[CWA. Example of deepest failure = (FAIL)]]
("Gary" "is" "white" "-")
Gary is kind.
Unknown
random
[@0: Gary is kind.[CWA. Example of deepest failure = (FAIL)]]
("Gary" "is" "kind" "+")
@0: Gary is red.[(triple1)] @1: Gary is blue.[(((triple1) -> rule3))] @2: Gary is nice.[(((((triple1) -> rule3) triple1) -> rule1))]
Gary is red.
("Gary" "is" "red" "+")
triple1
Gary is blue.
("Gary" "is" "blue" "+")
((triple1) -> (rule3 % int1))
Gary is blue.
("Gary" "is" "blue" "+")
int1
Gary is nice.
("Gary" "is" "nice" "+")
((((triple1) -> (rule3 % int2)) triple1) -> (rule1 % int1))
Gary is nice.
("Gary" "is" "nice" "+")
int1
Gary is blue.
("Gary" "is" "blue" "+")
int2