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Haskell 2019-04-01 06.52 pair #433316918
details
property
value
status
complete
benchmark
FiniteMap_addListToFM_C_10.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.6649 seconds
cpu usage
24.4195
user time
23.356
system time
1.06355
max virtual memory
1.8285568E7
max residence set size
3503484.0
stage attributes
key
value
starexec-result
YES
output
20.11/8.84 YES 22.90/9.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 22.90/9.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.90/9.60 22.90/9.60 22.90/9.60 H-Termination with start terms of the given HASKELL could be proven: 22.90/9.60 22.90/9.60 (0) HASKELL 22.90/9.60 (1) LR [EQUIVALENT, 0 ms] 22.90/9.60 (2) HASKELL 22.90/9.60 (3) CR [EQUIVALENT, 0 ms] 22.90/9.60 (4) HASKELL 22.90/9.60 (5) IFR [EQUIVALENT, 0 ms] 22.90/9.60 (6) HASKELL 22.90/9.60 (7) BR [EQUIVALENT, 0 ms] 22.90/9.60 (8) HASKELL 22.90/9.60 (9) COR [EQUIVALENT, 0 ms] 22.90/9.60 (10) HASKELL 22.90/9.60 (11) LetRed [EQUIVALENT, 0 ms] 22.90/9.60 (12) HASKELL 22.90/9.60 (13) NumRed [SOUND, 0 ms] 22.90/9.60 (14) HASKELL 22.90/9.60 (15) Narrow [SOUND, 0 ms] 22.90/9.60 (16) AND 22.90/9.60 (17) QDP 22.90/9.60 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (19) YES 22.90/9.60 (20) QDP 22.90/9.60 (21) DependencyGraphProof [EQUIVALENT, 1 ms] 22.90/9.60 (22) AND 22.90/9.60 (23) QDP 22.90/9.60 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (25) YES 22.90/9.60 (26) QDP 22.90/9.60 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (28) YES 22.90/9.60 (29) QDP 22.90/9.60 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (31) YES 22.90/9.60 (32) QDP 22.90/9.60 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (34) YES 22.90/9.60 (35) QDP 22.90/9.60 (36) QDPSizeChangeProof [EQUIVALENT, 68 ms] 22.90/9.60 (37) YES 22.90/9.60 (38) QDP 22.90/9.60 (39) QDPSizeChangeProof [EQUIVALENT, 25 ms] 22.90/9.60 (40) YES 22.90/9.60 (41) QDP 22.90/9.60 (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (43) YES 22.90/9.60 (44) QDP 22.90/9.60 (45) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (46) YES 22.90/9.60 (47) QDP 22.90/9.60 (48) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.90/9.60 (49) YES 22.90/9.60 22.90/9.60 22.90/9.60 ---------------------------------------- 22.90/9.60 22.90/9.60 (0) 22.90/9.60 Obligation: 22.90/9.60 mainModule Main 22.90/9.60 module FiniteMap where { 22.90/9.60 import qualified Main; 22.90/9.60 import qualified Maybe; 22.90/9.60 import qualified Prelude; 22.90/9.60 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 22.90/9.60 22.90/9.60 instance (Eq a, Eq b) => Eq FiniteMap b a where { 22.90/9.60 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 22.90/9.60 } 22.90/9.60 addListToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> [(b,a)] -> FiniteMap b a; 22.90/9.60 addListToFM_C combiner fm key_elt_pairs = foldl add fm key_elt_pairs where { 22.90/9.60 add fmap (key,elt) = addToFM_C combiner fmap key elt; 22.90/9.60 }; 22.90/9.60 22.90/9.60 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 22.90/9.60 addToFM_C combiner EmptyFM key elt = unitFM key elt; 22.90/9.60 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 22.90/9.60 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 22.90/9.60 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 22.90/9.60 22.90/9.60 emptyFM :: FiniteMap b a; 22.90/9.60 emptyFM = EmptyFM; 22.90/9.60 22.90/9.60 findMax :: FiniteMap a b -> (a,b); 22.90/9.60 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 22.90/9.60 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 22.90/9.60 22.90/9.60 findMin :: FiniteMap a b -> (a,b); 22.90/9.60 findMin (Branch key elt _ EmptyFM _) = (key,elt); 22.90/9.60 findMin (Branch key elt _ fm_l _) = findMin fm_l; 22.90/9.60 22.90/9.60 fmToList :: FiniteMap b a -> [(b,a)]; 22.90/9.60 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 22.90/9.60 22.90/9.60 foldFM :: (a -> c -> b -> b) -> b -> FiniteMap a c -> b; 22.90/9.60 foldFM k z EmptyFM = z;
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