details

property	value
status	complete
benchmark	FiniteMap_addListToFM_C_1.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)	15.1467 seconds
cpu usage	33.7396
user time	32.4976
system time	1.24203
max virtual memory	1.8285568E7
max residence set size	3978848.0

stage attributes

key	value
starexec-result	YES

output

30.13/14.11 YES 32.63/14.80 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 32.63/14.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.63/14.80 32.63/14.80 32.63/14.80 H-Termination with start terms of the given HASKELL could be proven: 32.63/14.80 32.63/14.80 (0) HASKELL 32.63/14.80 (1) LR [EQUIVALENT, 0 ms] 32.63/14.80 (2) HASKELL 32.63/14.80 (3) CR [EQUIVALENT, 0 ms] 32.63/14.80 (4) HASKELL 32.63/14.80 (5) IFR [EQUIVALENT, 0 ms] 32.63/14.80 (6) HASKELL 32.63/14.80 (7) BR [EQUIVALENT, 3 ms] 32.63/14.80 (8) HASKELL 32.63/14.80 (9) COR [EQUIVALENT, 0 ms] 32.63/14.80 (10) HASKELL 32.63/14.80 (11) LetRed [EQUIVALENT, 0 ms] 32.63/14.80 (12) HASKELL 32.63/14.80 (13) NumRed [SOUND, 0 ms] 32.63/14.80 (14) HASKELL 32.63/14.80 (15) Narrow [SOUND, 0 ms] 32.63/14.80 (16) AND 32.63/14.80 (17) QDP 32.63/14.80 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.63/14.80 (19) YES 32.63/14.80 (20) QDP 32.63/14.80 (21) QDPSizeChangeProof [EQUIVALENT, 21 ms] 32.63/14.80 (22) YES 32.63/14.80 (23) QDP 32.63/14.80 (24) QDPSizeChangeProof [EQUIVALENT, 185 ms] 32.63/14.80 (25) YES 32.63/14.80 (26) QDP 32.63/14.80 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.63/14.80 (28) YES 32.63/14.80 (29) QDP 32.63/14.80 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.63/14.80 (31) YES 32.63/14.80 (32) QDP 32.63/14.80 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.63/14.80 (34) YES 32.71/14.80 (35) QDP 32.71/14.80 (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.71/14.80 (37) YES 32.71/14.80 (38) QDP 32.71/14.80 (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.71/14.80 (40) YES 32.71/14.80 (41) QDP 32.71/14.80 (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.71/14.80 (43) YES 32.71/14.80 32.71/14.80 32.71/14.80 ---------------------------------------- 32.71/14.80 32.71/14.80 (0) 32.71/14.80 Obligation: 32.71/14.80 mainModule Main 32.71/14.80 module FiniteMap where { 32.71/14.80 import qualified Main; 32.71/14.80 import qualified Maybe; 32.71/14.80 import qualified Prelude; 32.71/14.80 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 32.71/14.80 32.71/14.80 instance (Eq a, Eq b) => Eq FiniteMap a b where { 32.71/14.80 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 32.71/14.80 } 32.71/14.80 addListToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> [(a,b)] -> FiniteMap a b; 32.71/14.80 addListToFM_C combiner fm key_elt_pairs = foldl add fm key_elt_pairs where { 32.71/14.80 add fmap (key,elt) = addToFM_C combiner fmap key elt; 32.71/14.80 }; 32.71/14.80 32.71/14.80 addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; 32.71/14.80 addToFM_C combiner EmptyFM key elt = unitFM key elt; 32.71/14.80 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 32.71/14.80 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 32.71/14.80 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 32.71/14.80 32.71/14.80 emptyFM :: FiniteMap b a; 32.71/14.80 emptyFM = EmptyFM; 32.71/14.80 32.71/14.80 findMax :: FiniteMap a b -> (a,b); 32.71/14.80 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 32.71/14.80 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 32.71/14.80 32.71/14.80 findMin :: FiniteMap a b -> (a,b); 32.71/14.80 findMin (Branch key elt _ EmptyFM _) = (key,elt); 32.71/14.80 findMin (Branch key elt _ fm_l _) = findMin fm_l; 32.71/14.80 32.71/14.80 fmToList :: FiniteMap b a -> [(b,a)]; 32.71/14.80 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 32.71/14.80 32.71/14.80 foldFM :: (a -> b -> c -> c) -> c -> FiniteMap a b -> c; 32.71/14.80 foldFM k z EmptyFM = z; 32.71/14.80 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 32.71/14.80 32.71/14.80 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 32.71/14.80 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 32.71/14.80 | size_r > sIZE_RATIO * size_l = case fm_R of { 32.71/14.80 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R popout

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all output return to Haskell 2019-04-01 06.52