details

property	value
status	complete
benchmark	FiniteMap_lookupWithDefaultFM_12.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.0321 seconds
cpu usage	25.5463
user time	24.3519
system time	1.19445
max virtual memory	1.8285568E7
max residence set size	3884588.0

stage attributes

key	value
starexec-result	YES

output

22.22/10.11 YES 25.19/10.90 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 25.19/10.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.19/10.90 25.19/10.90 25.19/10.90 H-Termination with start terms of the given HASKELL could be proven: 25.19/10.90 25.19/10.90 (0) HASKELL 25.19/10.90 (1) LR [EQUIVALENT, 0 ms] 25.19/10.90 (2) HASKELL 25.19/10.90 (3) CR [EQUIVALENT, 0 ms] 25.19/10.90 (4) HASKELL 25.19/10.90 (5) IFR [EQUIVALENT, 0 ms] 25.19/10.90 (6) HASKELL 25.19/10.90 (7) BR [EQUIVALENT, 10 ms] 25.19/10.90 (8) HASKELL 25.19/10.90 (9) COR [EQUIVALENT, 0 ms] 25.19/10.90 (10) HASKELL 25.19/10.90 (11) LetRed [EQUIVALENT, 14 ms] 25.19/10.90 (12) HASKELL 25.19/10.90 (13) NumRed [SOUND, 0 ms] 25.19/10.90 (14) HASKELL 25.19/10.90 (15) Narrow [SOUND, 0 ms] 25.19/10.90 (16) AND 25.19/10.90 (17) QDP 25.19/10.90 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (19) YES 25.19/10.90 (20) QDP 25.19/10.90 (21) QDPSizeChangeProof [EQUIVALENT, 116 ms] 25.19/10.90 (22) YES 25.19/10.90 (23) QDP 25.19/10.90 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (25) YES 25.19/10.90 (26) QDP 25.19/10.90 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (28) YES 25.19/10.90 (29) QDP 25.19/10.90 (30) TransformationProof [EQUIVALENT, 1522 ms] 25.19/10.90 (31) QDP 25.19/10.90 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (33) YES 25.19/10.90 (34) QDP 25.19/10.90 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (36) YES 25.19/10.90 (37) QDP 25.19/10.90 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.19/10.90 (39) YES 25.19/10.90 25.19/10.90 25.19/10.90 ---------------------------------------- 25.19/10.90 25.19/10.90 (0) 25.19/10.90 Obligation: 25.19/10.90 mainModule Main 25.19/10.90 module FiniteMap where { 25.19/10.90 import qualified Main; 25.19/10.90 import qualified Maybe; 25.19/10.90 import qualified Prelude; 25.19/10.90 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 25.19/10.90 25.19/10.90 instance (Eq a, Eq b) => Eq FiniteMap a b where { 25.19/10.90 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 25.19/10.90 } 25.19/10.90 fmToList :: FiniteMap b a -> [(b,a)]; 25.19/10.90 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 25.19/10.90 25.19/10.90 foldFM :: (a -> b -> c -> c) -> c -> FiniteMap a b -> c; 25.19/10.90 foldFM k z EmptyFM = z; 25.19/10.90 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 25.19/10.90 25.19/10.90 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 25.19/10.90 lookupFM EmptyFM key = Nothing; 25.19/10.90 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 25.19/10.90 | key_to_find > key = lookupFM fm_r key_to_find 25.19/10.90 | otherwise = Just elt; 25.19/10.90 25.19/10.90 lookupWithDefaultFM :: Ord b => FiniteMap b a -> a -> b -> a; 25.19/10.90 lookupWithDefaultFM fm deflt key = case lookupFM fm key of { 25.19/10.90 Nothing-> deflt; 25.19/10.90 Just elt-> elt; 25.19/10.90 } ; 25.19/10.90 25.19/10.90 sizeFM :: FiniteMap b a -> Int; 25.19/10.90 sizeFM EmptyFM = 0; 25.19/10.90 sizeFM (Branch _ _ size _ _) = size; 25.19/10.90 25.19/10.90 } 25.19/10.90 module Maybe where { 25.19/10.90 import qualified FiniteMap; 25.19/10.90 import qualified Main; 25.19/10.90 import qualified Prelude; 25.19/10.90 } 25.19/10.90 module Main where { 25.19/10.90 import qualified FiniteMap; 25.19/10.90 import qualified Maybe; 25.19/10.90 import qualified Prelude; 25.19/10.90 } 25.19/10.90 25.19/10.90 ---------------------------------------- 25.19/10.90 popout

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all output return to Haskell 2019-04-01 06.52