details

property	value
status	complete
benchmark	FiniteMap_lookupWithDefaultFM_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n152.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.75591 seconds
cpu usage	14.1834
user time	13.7695
system time	0.413841
max virtual memory	1.8291492E7
max residence set size	783384.0

stage attributes

key	value
starexec-result	YES

output

11.71/5.02 YES 13.81/5.64 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 13.81/5.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.81/5.64 13.81/5.64 13.81/5.64 H-Termination with start terms of the given HASKELL could be proven: 13.81/5.64 13.81/5.64 (0) HASKELL 13.81/5.64 (1) CR [EQUIVALENT, 0 ms] 13.81/5.64 (2) HASKELL 13.81/5.64 (3) BR [EQUIVALENT, 0 ms] 13.81/5.64 (4) HASKELL 13.81/5.64 (5) COR [EQUIVALENT, 0 ms] 13.81/5.64 (6) HASKELL 13.81/5.64 (7) Narrow [SOUND, 0 ms] 13.81/5.64 (8) QDP 13.81/5.64 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 13.81/5.64 (10) AND 13.81/5.64 (11) QDP 13.81/5.64 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.81/5.64 (13) YES 13.81/5.64 (14) QDP 13.81/5.64 (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.81/5.64 (16) YES 13.81/5.64 13.81/5.64 13.81/5.64 ---------------------------------------- 13.81/5.64 13.81/5.64 (0) 13.81/5.64 Obligation: 13.81/5.64 mainModule Main 13.81/5.64 module FiniteMap where { 13.81/5.64 import qualified Main; 13.81/5.64 import qualified Maybe; 13.81/5.64 import qualified Prelude; 13.81/5.64 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 13.81/5.64 13.81/5.64 instance (Eq a, Eq b) => Eq FiniteMap b a where { 13.81/5.64 } 13.81/5.64 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 13.81/5.64 lookupFM EmptyFM key = Nothing; 13.81/5.64 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 13.81/5.64 | key_to_find > key = lookupFM fm_r key_to_find 13.81/5.64 | otherwise = Just elt; 13.81/5.64 13.81/5.64 lookupWithDefaultFM :: Ord b => FiniteMap b a -> a -> b -> a; 13.81/5.64 lookupWithDefaultFM fm deflt key = case lookupFM fm key of { 13.81/5.64 Nothing-> deflt; 13.81/5.64 Just elt-> elt; 13.81/5.64 } ; 13.81/5.64 13.81/5.64 } 13.81/5.64 module Maybe where { 13.81/5.64 import qualified FiniteMap; 13.81/5.64 import qualified Main; 13.81/5.64 import qualified Prelude; 13.81/5.64 } 13.81/5.64 module Main where { 13.81/5.64 import qualified FiniteMap; 13.81/5.64 import qualified Maybe; 13.81/5.64 import qualified Prelude; 13.81/5.64 } 13.81/5.64 13.81/5.64 ---------------------------------------- 13.81/5.64 13.81/5.64 (1) CR (EQUIVALENT) 13.81/5.64 Case Reductions: 13.81/5.64 The following Case expression 13.81/5.64 "case lookupFM fm key of { 13.81/5.64 Nothing -> deflt; 13.81/5.64 Just elt -> elt} 13.81/5.64 " 13.81/5.64 is transformed to 13.81/5.64 "lookupWithDefaultFM0 deflt Nothing = deflt; 13.81/5.64 lookupWithDefaultFM0 deflt (Just elt) = elt; 13.81/5.64 " 13.81/5.64 13.81/5.64 ---------------------------------------- 13.81/5.64 13.81/5.64 (2) 13.81/5.64 Obligation: 13.81/5.64 mainModule Main 13.81/5.64 module FiniteMap where { 13.81/5.64 import qualified Main; 13.81/5.64 import qualified Maybe; 13.81/5.64 import qualified Prelude; 13.81/5.64 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 13.81/5.64 13.81/5.64 instance (Eq a, Eq b) => Eq FiniteMap a b where { 13.81/5.64 } 13.81/5.64 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 13.81/5.64 lookupFM EmptyFM key = Nothing; 13.81/5.64 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 13.81/5.64 | key_to_find > key = lookupFM fm_r key_to_find 13.81/5.64 | otherwise = Just elt; 13.81/5.64 13.81/5.64 lookupWithDefaultFM :: Ord b => FiniteMap b a -> a -> b -> a; 13.81/5.64 lookupWithDefaultFM fm deflt key = lookupWithDefaultFM0 deflt (lookupFM fm key); 13.81/5.64 13.81/5.64 lookupWithDefaultFM0 deflt Nothing = deflt; popout

output may be truncated. 'popout' for the full output.

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all output return to Haskell 2019-04-01 06.52