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Haskell 2019-04-01 06.52 pair #433317252
details
property
value
status
complete
benchmark
range_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.51718 seconds
cpu usage
10.8589
user time
10.5687
system time
0.290224
max virtual memory
1.828352E7
max residence set size
604040.0
stage attributes
key
value
starexec-result
YES
output
8.62/3.89 YES 10.77/4.46 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 10.77/4.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.77/4.46 10.77/4.46 10.77/4.46 H-Termination with start terms of the given HASKELL could be proven: 10.77/4.46 10.77/4.46 (0) HASKELL 10.77/4.46 (1) BR [EQUIVALENT, 0 ms] 10.77/4.46 (2) HASKELL 10.77/4.46 (3) COR [EQUIVALENT, 0 ms] 10.77/4.46 (4) HASKELL 10.77/4.46 (5) Narrow [EQUIVALENT, 219 ms] 10.77/4.46 (6) YES 10.77/4.46 10.77/4.46 10.77/4.46 ---------------------------------------- 10.77/4.46 10.77/4.46 (0) 10.77/4.46 Obligation: 10.77/4.46 mainModule Main 10.77/4.46 module Main where { 10.77/4.46 import qualified Prelude; 10.77/4.46 data List a = Cons a (List a) | Nil ; 10.77/4.46 10.77/4.46 data MyBool = MyTrue | MyFalse ; 10.77/4.46 10.77/4.46 data Ordering = LT | EQ | GT ; 10.77/4.46 10.77/4.46 data Tup2 b a = Tup2 b a ; 10.77/4.46 10.77/4.46 asAs :: MyBool -> MyBool -> MyBool; 10.77/4.46 asAs MyFalse x = MyFalse; 10.77/4.46 asAs MyTrue x = x; 10.77/4.46 10.77/4.46 compare0 x y MyTrue = GT; 10.77/4.46 10.77/4.46 compare1 x y MyTrue = LT; 10.77/4.46 compare1 x y MyFalse = compare0 x y otherwise; 10.77/4.46 10.77/4.46 compare2 x y MyTrue = EQ; 10.77/4.46 compare2 x y MyFalse = compare1 x y (ltEsOrdering x y); 10.77/4.46 10.77/4.46 compare3 x y = compare2 x y (esEsOrdering x y); 10.77/4.46 10.77/4.46 compareOrdering :: Ordering -> Ordering -> Ordering; 10.77/4.46 compareOrdering x y = compare3 x y; 10.77/4.46 10.77/4.46 concat :: List (List a) -> List a; 10.77/4.46 concat = foldr psPs Nil; 10.77/4.46 10.77/4.46 concatMap :: (a -> List b) -> List a -> List b; 10.77/4.46 concatMap f = pt concat (map f); 10.77/4.46 10.77/4.46 esEsOrdering :: Ordering -> Ordering -> MyBool; 10.77/4.46 esEsOrdering LT LT = MyTrue; 10.77/4.46 esEsOrdering LT EQ = MyFalse; 10.77/4.46 esEsOrdering LT GT = MyFalse; 10.77/4.46 esEsOrdering EQ LT = MyFalse; 10.77/4.46 esEsOrdering EQ EQ = MyTrue; 10.77/4.46 esEsOrdering EQ GT = MyFalse; 10.77/4.46 esEsOrdering GT LT = MyFalse; 10.77/4.46 esEsOrdering GT EQ = MyFalse; 10.77/4.46 esEsOrdering GT GT = MyTrue; 10.77/4.46 10.77/4.46 foldr :: (a -> b -> b) -> b -> List a -> b; 10.77/4.46 foldr f z Nil = z; 10.77/4.46 foldr f z (Cons x xs) = f x (foldr f z xs); 10.77/4.46 10.77/4.46 fsEsOrdering :: Ordering -> Ordering -> MyBool; 10.77/4.46 fsEsOrdering x y = not (esEsOrdering x y); 10.77/4.46 10.77/4.46 gtEsOrdering :: Ordering -> Ordering -> MyBool; 10.77/4.46 gtEsOrdering x y = fsEsOrdering (compareOrdering x y) LT; 10.77/4.46 10.77/4.46 ltEsOrdering :: Ordering -> Ordering -> MyBool; 10.77/4.46 ltEsOrdering LT LT = MyTrue; 10.77/4.46 ltEsOrdering LT EQ = MyTrue; 10.77/4.46 ltEsOrdering LT GT = MyTrue; 10.77/4.46 ltEsOrdering EQ LT = MyFalse; 10.77/4.46 ltEsOrdering EQ EQ = MyTrue; 10.77/4.46 ltEsOrdering EQ GT = MyTrue; 10.77/4.46 ltEsOrdering GT LT = MyFalse; 10.77/4.46 ltEsOrdering GT EQ = MyFalse; 10.77/4.46 ltEsOrdering GT GT = MyTrue; 10.77/4.46 10.77/4.46 map :: (b -> a) -> List b -> List a; 10.77/4.46 map f Nil = Nil; 10.77/4.46 map f (Cons x xs) = Cons (f x) (map f xs); 10.77/4.46 10.77/4.46 not :: MyBool -> MyBool; 10.77/4.46 not MyTrue = MyFalse; 10.77/4.46 not MyFalse = MyTrue; 10.77/4.46 10.77/4.46 otherwise :: MyBool; 10.77/4.46 otherwise = MyTrue; 10.77/4.46 10.77/4.46 psPs :: List a -> List a -> List a; 10.77/4.46 psPs Nil ys = ys; 10.77/4.46 psPs (Cons x xs) ys = Cons x (psPs xs ys);
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