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Haskell 2019-04-01 06.52 pair #433317369
details
property
value
status
complete
benchmark
lexDigits_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.72175 seconds
cpu usage
15.3563
user time
14.8905
system time
0.465874
max virtual memory
1.8290572E7
max residence set size
955756.0
stage attributes
key
value
starexec-result
YES
output
12.23/4.89 YES 14.97/5.55 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 14.97/5.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.97/5.55 14.97/5.55 14.97/5.55 H-Termination with start terms of the given HASKELL could be proven: 14.97/5.55 14.97/5.55 (0) HASKELL 14.97/5.55 (1) BR [EQUIVALENT, 0 ms] 14.97/5.55 (2) HASKELL 14.97/5.55 (3) COR [EQUIVALENT, 0 ms] 14.97/5.55 (4) HASKELL 14.97/5.55 (5) Narrow [SOUND, 0 ms] 14.97/5.55 (6) AND 14.97/5.55 (7) QDP 14.97/5.55 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.97/5.55 (9) YES 14.97/5.55 (10) QDP 14.97/5.55 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.97/5.55 (12) YES 14.97/5.55 (13) QDP 14.97/5.55 (14) TransformationProof [EQUIVALENT, 0 ms] 14.97/5.55 (15) QDP 14.97/5.55 (16) TransformationProof [EQUIVALENT, 0 ms] 14.97/5.55 (17) QDP 14.97/5.55 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.97/5.55 (19) YES 14.97/5.55 14.97/5.55 14.97/5.55 ---------------------------------------- 14.97/5.55 14.97/5.55 (0) 14.97/5.55 Obligation: 14.97/5.55 mainModule Main 14.97/5.55 module Main where { 14.97/5.55 import qualified Prelude; 14.97/5.55 data Main.Char = Char MyInt ; 14.97/5.55 14.97/5.55 data List a = Cons a (List a) | Nil ; 14.97/5.55 14.97/5.55 data MyBool = MyTrue | MyFalse ; 14.97/5.55 14.97/5.55 data MyInt = Pos Main.Nat | Neg Main.Nat ; 14.97/5.55 14.97/5.55 data Main.Nat = Succ Main.Nat | Zero ; 14.97/5.55 14.97/5.55 data Ordering = LT | EQ | GT ; 14.97/5.55 14.97/5.55 data Tup2 a b = Tup2 a b ; 14.97/5.55 14.97/5.55 asAs :: MyBool -> MyBool -> MyBool; 14.97/5.55 asAs MyFalse x = MyFalse; 14.97/5.55 asAs MyTrue x = x; 14.97/5.55 14.97/5.55 compareChar :: Main.Char -> Main.Char -> Ordering; 14.97/5.55 compareChar = primCmpChar; 14.97/5.55 14.97/5.55 concat :: List (List a) -> List a; 14.97/5.55 concat = foldr psPs Nil; 14.97/5.55 14.97/5.55 concatMap :: (b -> List a) -> List b -> List a; 14.97/5.55 concatMap f = pt concat (map f); 14.97/5.55 14.97/5.55 esEsOrdering :: Ordering -> Ordering -> MyBool; 14.97/5.55 esEsOrdering LT LT = MyTrue; 14.97/5.55 esEsOrdering LT EQ = MyFalse; 14.97/5.55 esEsOrdering LT GT = MyFalse; 14.97/5.55 esEsOrdering EQ LT = MyFalse; 14.97/5.55 esEsOrdering EQ EQ = MyTrue; 14.97/5.55 esEsOrdering EQ GT = MyFalse; 14.97/5.55 esEsOrdering GT LT = MyFalse; 14.97/5.55 esEsOrdering GT EQ = MyFalse; 14.97/5.55 esEsOrdering GT GT = MyTrue; 14.97/5.55 14.97/5.55 foldr :: (b -> a -> a) -> a -> List b -> a; 14.97/5.55 foldr f z Nil = z; 14.97/5.55 foldr f z (Cons x xs) = f x (foldr f z xs); 14.97/5.55 14.97/5.55 fsEsOrdering :: Ordering -> Ordering -> MyBool; 14.97/5.55 fsEsOrdering x y = not (esEsOrdering x y); 14.97/5.55 14.97/5.55 gtEsChar :: Main.Char -> Main.Char -> MyBool; 14.97/5.55 gtEsChar x y = fsEsOrdering (compareChar x y) LT; 14.97/5.55 14.97/5.55 isDigit :: Main.Char -> MyBool; 14.97/5.55 isDigit c = asAs (gtEsChar c (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))))))))))) (ltEsChar c (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))); 14.97/5.55 14.97/5.55 lexDigits :: List Main.Char -> List (Tup2 (List Main.Char) (List Main.Char)); 14.97/5.55 lexDigits = nonnull isDigit; 14.97/5.55 14.97/5.55 ltEsChar :: Main.Char -> Main.Char -> MyBool; 14.97/5.55 ltEsChar x y = fsEsOrdering (compareChar x y) GT; 14.97/5.55 14.97/5.55 map :: (b -> a) -> List b -> List a; 14.97/5.55 map f Nil = Nil; 14.97/5.55 map f (Cons x xs) = Cons (f x) (map f xs); 14.97/5.55 14.97/5.55 nonnull :: (Main.Char -> MyBool) -> List Main.Char -> List (Tup2 (List Main.Char) (List Main.Char)); 14.97/5.55 nonnull p s = concatMap nonnull0 (Cons (span p s) Nil); 14.97/5.55
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