details

property	value
status	complete
benchmark	FiniteMap_elemFM_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.9256 seconds
cpu usage	21.5853
user time	20.9502
system time	0.635042
max virtual memory	1.8285776E7
max residence set size	1772420.0

stage attributes

key	value
starexec-result	YES

output

17.96/6.92 YES 21.09/7.80 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 21.09/7.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.09/7.80 21.09/7.80 21.09/7.80 H-Termination with start terms of the given HASKELL could be proven: 21.09/7.80 21.09/7.80 (0) HASKELL 21.09/7.80 (1) LR [EQUIVALENT, 0 ms] 21.09/7.80 (2) HASKELL 21.09/7.80 (3) CR [EQUIVALENT, 0 ms] 21.09/7.80 (4) HASKELL 21.09/7.80 (5) IFR [EQUIVALENT, 0 ms] 21.09/7.80 (6) HASKELL 21.09/7.80 (7) BR [EQUIVALENT, 13 ms] 21.09/7.80 (8) HASKELL 21.09/7.80 (9) COR [EQUIVALENT, 0 ms] 21.09/7.80 (10) HASKELL 21.09/7.80 (11) LetRed [EQUIVALENT, 0 ms] 21.09/7.80 (12) HASKELL 21.09/7.80 (13) NumRed [SOUND, 10 ms] 21.09/7.80 (14) HASKELL 21.09/7.80 (15) Narrow [SOUND, 0 ms] 21.09/7.80 (16) AND 21.09/7.80 (17) QDP 21.09/7.80 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (19) YES 21.09/7.80 (20) QDP 21.09/7.80 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (22) YES 21.09/7.80 (23) QDP 21.09/7.80 (24) DependencyGraphProof [EQUIVALENT, 0 ms] 21.09/7.80 (25) AND 21.09/7.80 (26) QDP 21.09/7.80 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (28) YES 21.09/7.80 (29) QDP 21.09/7.80 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (31) YES 21.09/7.80 (32) QDP 21.09/7.80 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (34) YES 21.09/7.80 (35) QDP 21.09/7.80 (36) DependencyGraphProof [EQUIVALENT, 0 ms] 21.09/7.80 (37) QDP 21.09/7.80 (38) QDPSizeChangeProof [EQUIVALENT, 211 ms] 21.09/7.80 (39) YES 21.09/7.80 (40) QDP 21.09/7.80 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (42) YES 21.09/7.80 (43) QDP 21.09/7.80 (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.09/7.80 (45) YES 21.09/7.80 21.09/7.80 21.09/7.80 ---------------------------------------- 21.09/7.80 21.09/7.80 (0) 21.09/7.80 Obligation: 21.09/7.80 mainModule Main 21.09/7.80 module FiniteMap where { 21.09/7.80 import qualified Main; 21.09/7.80 import qualified Maybe; 21.09/7.80 import qualified Prelude; 21.09/7.80 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 21.09/7.80 21.09/7.80 instance (Eq a, Eq b) => Eq FiniteMap a b where { 21.09/7.80 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 21.09/7.80 } 21.09/7.80 elemFM :: Ord a => a -> FiniteMap a b -> Bool; 21.09/7.80 elemFM key fm = case lookupFM fm key of { 21.09/7.80 Nothing-> False; 21.09/7.80 Just elt-> True; 21.09/7.80 } ; 21.09/7.80 21.09/7.80 fmToList :: FiniteMap a b -> [(a,b)]; 21.09/7.80 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 21.09/7.80 21.09/7.80 foldFM :: (a -> c -> b -> b) -> b -> FiniteMap a c -> b; 21.09/7.80 foldFM k z EmptyFM = z; 21.09/7.80 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 21.09/7.80 21.09/7.80 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 21.09/7.80 lookupFM EmptyFM key = Nothing; 21.09/7.80 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 21.09/7.80 | key_to_find > key = lookupFM fm_r key_to_find 21.09/7.80 | otherwise = Just elt; 21.09/7.80 21.09/7.80 sizeFM :: FiniteMap b a -> Int; 21.09/7.80 sizeFM EmptyFM = 0; 21.09/7.80 sizeFM (Branch _ _ size _ _) = size; 21.09/7.80 21.09/7.80 } 21.09/7.80 module Maybe where { 21.09/7.80 import qualified FiniteMap; 21.09/7.80 import qualified Main; 21.09/7.80 import qualified Prelude; 21.09/7.80 } 21.09/7.80 module Main where { 21.09/7.80 import qualified FiniteMap; popout

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all output return to Haskell 2019-04-01 06.52