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Funct Progr 77531 pair #381920641
details
property
value
status
complete
benchmark
filter_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.05728316307 seconds
cpu usage
9.78694367
max memory
5.77646592E8
stage attributes
key
value
output-size
9291
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) QDP (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data MyBool = MyTrue | MyFalse ; concat :: List (List a) -> List a; concat = foldr psPs Nil; concatMap :: (a -> List b) -> List a -> List b; concatMap f = pt concat (map f); filter :: (a -> MyBool) -> List a -> List a; filter p xs = concatMap (filter0 p) xs; filter0 p vu39 = filter00 p vu39; filter00 p x = filter000 x (p x); filter00 p vv = Nil; filter000 x MyTrue = Cons x Nil; filter000 x MyFalse = Nil; foldr :: (b -> a -> a) -> a -> List b -> a; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); map :: (a -> b) -> List a -> List b; map f Nil = Nil; map f (Cons x xs) = Cons (f x) (map f xs); psPs :: List a -> List a -> List a; psPs Nil ys = ys; psPs (Cons x xs) ys = Cons x (psPs xs ys); pt :: (c -> a) -> (b -> c) -> b -> a; pt f g x = f (g x); } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data MyBool = MyTrue | MyFalse ; concat :: List (List a) -> List a; concat = foldr psPs Nil; concatMap :: (a -> List b) -> List a -> List b; concatMap f = pt concat (map f); filter :: (a -> MyBool) -> List a -> List a; filter p xs = concatMap (filter0 p) xs; filter0 p vu39 = filter00 p vu39; filter00 p x = filter000 x (p x); filter00 p vv = Nil; filter000 x MyTrue = Cons x Nil; filter000 x MyFalse = Nil;
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