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Haskell 2019-04-01 06.52 pair #433316246
details
property
value
status
complete
benchmark
FiniteMap_lookupWithDefaultFM_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n166.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.42658 seconds
cpu usage
23.2171
user time
22.5315
system time
0.685523
max virtual memory
1.8285568E7
max residence set size
1805176.0
stage attributes
key
value
starexec-result
YES
output
19.81/7.49 YES 22.70/8.29 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 22.70/8.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.70/8.29 22.70/8.29 22.70/8.29 H-Termination with start terms of the given HASKELL could be proven: 22.70/8.29 22.70/8.29 (0) HASKELL 22.70/8.29 (1) LR [EQUIVALENT, 0 ms] 22.70/8.29 (2) HASKELL 22.70/8.29 (3) CR [EQUIVALENT, 0 ms] 22.70/8.29 (4) HASKELL 22.70/8.29 (5) IFR [EQUIVALENT, 0 ms] 22.70/8.29 (6) HASKELL 22.70/8.29 (7) BR [EQUIVALENT, 13 ms] 22.70/8.29 (8) HASKELL 22.70/8.29 (9) COR [EQUIVALENT, 0 ms] 22.70/8.29 (10) HASKELL 22.70/8.29 (11) LetRed [EQUIVALENT, 0 ms] 22.70/8.29 (12) HASKELL 22.70/8.29 (13) NumRed [SOUND, 9 ms] 22.70/8.29 (14) HASKELL 22.70/8.29 (15) Narrow [SOUND, 0 ms] 22.70/8.29 (16) AND 22.70/8.29 (17) QDP 22.70/8.29 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (19) YES 22.70/8.29 (20) QDP 22.70/8.29 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 22.70/8.29 (22) AND 22.70/8.29 (23) QDP 22.70/8.29 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (25) YES 22.70/8.29 (26) QDP 22.70/8.29 (27) QDPSizeChangeProof [EQUIVALENT, 1 ms] 22.70/8.29 (28) YES 22.70/8.29 (29) QDP 22.70/8.29 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (31) YES 22.70/8.29 (32) QDP 22.70/8.29 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (34) YES 22.70/8.29 (35) QDP 22.70/8.29 (36) DependencyGraphProof [EQUIVALENT, 0 ms] 22.70/8.29 (37) QDP 22.70/8.29 (38) QDPSizeChangeProof [EQUIVALENT, 242 ms] 22.70/8.29 (39) YES 22.70/8.29 (40) QDP 22.70/8.29 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (42) YES 22.70/8.29 (43) QDP 22.70/8.29 (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.70/8.29 (45) YES 22.70/8.29 22.70/8.29 22.70/8.29 ---------------------------------------- 22.70/8.29 22.70/8.29 (0) 22.70/8.29 Obligation: 22.70/8.29 mainModule Main 22.70/8.29 module FiniteMap where { 22.70/8.29 import qualified Main; 22.70/8.29 import qualified Maybe; 22.70/8.29 import qualified Prelude; 22.70/8.29 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 22.70/8.29 22.70/8.29 instance (Eq a, Eq b) => Eq FiniteMap b a where { 22.70/8.29 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 22.70/8.29 } 22.70/8.29 fmToList :: FiniteMap b a -> [(b,a)]; 22.70/8.29 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 22.70/8.29 22.70/8.29 foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c; 22.70/8.29 foldFM k z EmptyFM = z; 22.70/8.29 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 22.70/8.29 22.70/8.29 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 22.70/8.29 lookupFM EmptyFM key = Nothing; 22.70/8.29 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 22.70/8.29 | key_to_find > key = lookupFM fm_r key_to_find 22.70/8.29 | otherwise = Just elt; 22.70/8.29 22.70/8.29 lookupWithDefaultFM :: Ord a => FiniteMap a b -> b -> a -> b; 22.70/8.29 lookupWithDefaultFM fm deflt key = case lookupFM fm key of { 22.70/8.29 Nothing-> deflt; 22.70/8.29 Just elt-> elt; 22.70/8.29 } ; 22.70/8.29 22.70/8.29 sizeFM :: FiniteMap b a -> Int; 22.70/8.29 sizeFM EmptyFM = 0; 22.70/8.29 sizeFM (Branch _ _ size _ _) = size; 22.70/8.29 22.70/8.29 } 22.70/8.29 module Maybe where { 22.70/8.29 import qualified FiniteMap; 22.70/8.29 import qualified Main; 22.70/8.29 import qualified Prelude; 22.70/8.29 } 22.70/8.29 module Main where { 22.70/8.29 import qualified FiniteMap;
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