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Haskell 2019-04-01 06.52 pair #433317070
details
property
value
status
complete
benchmark
FiniteMap_addToFM_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.2595 seconds
cpu usage
30.2225
user time
29.081
system time
1.14158
max virtual memory
1.8287616E7
max residence set size
3944592.0
stage attributes
key
value
starexec-result
YES
output
26.25/13.17 YES 28.63/13.89 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 28.63/13.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.63/13.89 28.63/13.89 28.63/13.89 H-Termination with start terms of the given HASKELL could be proven: 28.63/13.89 28.63/13.89 (0) HASKELL 28.63/13.89 (1) LR [EQUIVALENT, 0 ms] 28.63/13.89 (2) HASKELL 28.63/13.89 (3) CR [EQUIVALENT, 0 ms] 28.63/13.89 (4) HASKELL 28.63/13.89 (5) IFR [EQUIVALENT, 0 ms] 28.63/13.89 (6) HASKELL 28.63/13.89 (7) BR [EQUIVALENT, 6 ms] 28.63/13.89 (8) HASKELL 28.63/13.89 (9) COR [EQUIVALENT, 0 ms] 28.63/13.89 (10) HASKELL 28.63/13.89 (11) LetRed [EQUIVALENT, 0 ms] 28.63/13.89 (12) HASKELL 28.63/13.89 (13) NumRed [SOUND, 0 ms] 28.63/13.89 (14) HASKELL 28.63/13.89 (15) Narrow [SOUND, 0 ms] 28.63/13.89 (16) AND 28.63/13.89 (17) QDP 28.63/13.89 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (19) YES 28.63/13.89 (20) QDP 28.63/13.89 (21) QDPSizeChangeProof [EQUIVALENT, 117 ms] 28.63/13.89 (22) YES 28.63/13.89 (23) QDP 28.63/13.89 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (25) YES 28.63/13.89 (26) QDP 28.63/13.89 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (28) YES 28.63/13.89 (29) QDP 28.63/13.89 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (31) YES 28.63/13.89 (32) QDP 28.63/13.89 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (34) YES 28.63/13.89 (35) QDP 28.63/13.89 (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (37) YES 28.63/13.89 (38) QDP 28.63/13.89 (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.63/13.89 (40) YES 28.63/13.89 28.63/13.89 28.63/13.89 ---------------------------------------- 28.63/13.89 28.63/13.89 (0) 28.63/13.89 Obligation: 28.63/13.89 mainModule Main 28.63/13.89 module FiniteMap where { 28.63/13.89 import qualified Main; 28.63/13.89 import qualified Maybe; 28.63/13.89 import qualified Prelude; 28.63/13.89 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 28.63/13.89 28.63/13.89 instance (Eq a, Eq b) => Eq FiniteMap b a where { 28.63/13.89 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 28.63/13.89 } 28.63/13.89 addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; 28.63/13.89 addToFM fm key elt = addToFM_C (\old new ->new) fm key elt; 28.63/13.89 28.63/13.89 addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; 28.63/13.89 addToFM_C combiner EmptyFM key elt = unitFM key elt; 28.63/13.89 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 28.63/13.89 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 28.63/13.89 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 28.63/13.89 28.63/13.89 emptyFM :: FiniteMap b a; 28.63/13.89 emptyFM = EmptyFM; 28.63/13.89 28.63/13.89 findMax :: FiniteMap a b -> (a,b); 28.63/13.89 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 28.63/13.89 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 28.63/13.89 28.63/13.89 findMin :: FiniteMap b a -> (b,a); 28.63/13.89 findMin (Branch key elt _ EmptyFM _) = (key,elt); 28.63/13.89 findMin (Branch key elt _ fm_l _) = findMin fm_l; 28.63/13.89 28.63/13.89 fmToList :: FiniteMap b a -> [(b,a)]; 28.63/13.89 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 28.63/13.89 28.63/13.89 foldFM :: (a -> b -> c -> c) -> c -> FiniteMap a b -> c; 28.63/13.89 foldFM k z EmptyFM = z; 28.63/13.89 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 28.63/13.89 28.63/13.89 mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 28.63/13.89 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 28.63/13.89 | size_r > sIZE_RATIO * size_l = case fm_R of { 28.63/13.89 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R 28.63/13.89 | otherwise -> double_L fm_L fm_R; 28.63/13.89 } 28.63/13.89 | size_l > sIZE_RATIO * size_r = case fm_L of { 28.63/13.89 Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R 28.63/13.89 | otherwise -> double_R fm_L fm_R;
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