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Funct Progr 77531 pair #381921052
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
n073.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.06535315514 seconds
cpu usage
24.446124253
max memory
1.769787392E9
stage attributes
key
value
output-size
1091754
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) CR [EQUIVALENT, 0 ms] (4) HASKELL (5) IFR [EQUIVALENT, 0 ms] (6) HASKELL (7) BR [EQUIVALENT, 0 ms] (8) HASKELL (9) COR [EQUIVALENT, 6 ms] (10) HASKELL (11) LetRed [EQUIVALENT, 0 ms] (12) HASKELL (13) NumRed [SOUND, 8 ms] (14) HASKELL (15) Narrow [SOUND, 0 ms] (16) AND (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) AND (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] (31) YES (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 27 ms] (34) YES (35) QDP (36) DependencyGraphProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 377 ms] (39) YES (40) QDP (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] (42) YES (43) QDP (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] (45) YES ---------------------------------------- (0) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; instance (Eq a, Eq b) => Eq FiniteMap a b where { (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; } fmToList :: FiniteMap b a -> [(b,a)]; fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c; foldFM k z EmptyFM = z; foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; lookupWithDefaultFM :: Ord a => FiniteMap a b -> b -> a -> b; lookupWithDefaultFM fm deflt key = case lookupFM fm key of { Nothing-> deflt; Just elt-> elt; } ; sizeFM :: FiniteMap b a -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; } module Maybe where {
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