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Haskell 2019-04-01 06.52 pair #433315903
details
property
value
status
complete
benchmark
FiniteMap_eltsFM_LE_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.40604 seconds
cpu usage
22.4717
user time
21.8167
system time
0.655021
max virtual memory
1.8288264E7
max residence set size
1985988.0
stage attributes
key
value
starexec-result
YES
output
18.86/7.34 YES 22.09/8.21 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 22.09/8.21 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.09/8.21 22.09/8.21 22.09/8.21 H-Termination with start terms of the given HASKELL could be proven: 22.09/8.21 22.09/8.21 (0) HASKELL 22.09/8.21 (1) LR [EQUIVALENT, 0 ms] 22.09/8.21 (2) HASKELL 22.09/8.21 (3) CR [EQUIVALENT, 0 ms] 22.09/8.21 (4) HASKELL 22.09/8.21 (5) IFR [EQUIVALENT, 0 ms] 22.09/8.21 (6) HASKELL 22.09/8.21 (7) BR [EQUIVALENT, 0 ms] 22.09/8.21 (8) HASKELL 22.09/8.21 (9) COR [EQUIVALENT, 0 ms] 22.09/8.21 (10) HASKELL 22.09/8.21 (11) LetRed [EQUIVALENT, 0 ms] 22.09/8.21 (12) HASKELL 22.09/8.21 (13) NumRed [SOUND, 10 ms] 22.09/8.21 (14) HASKELL 22.09/8.21 (15) Narrow [SOUND, 0 ms] 22.09/8.21 (16) AND 22.09/8.21 (17) QDP 22.09/8.21 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (19) YES 22.09/8.21 (20) QDP 22.09/8.21 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (22) YES 22.09/8.21 (23) QDP 22.09/8.21 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (25) YES 22.09/8.21 (26) QDP 22.09/8.21 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (28) YES 22.09/8.21 (29) QDP 22.09/8.21 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (31) YES 22.09/8.21 (32) QDP 22.09/8.21 (33) DependencyGraphProof [EQUIVALENT, 0 ms] 22.09/8.21 (34) QDP 22.09/8.21 (35) QDPSizeChangeProof [EQUIVALENT, 244 ms] 22.09/8.21 (36) YES 22.09/8.21 (37) QDP 22.09/8.21 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (39) YES 22.09/8.21 (40) QDP 22.09/8.21 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.09/8.21 (42) YES 22.09/8.21 22.09/8.21 22.09/8.21 ---------------------------------------- 22.09/8.21 22.09/8.21 (0) 22.09/8.21 Obligation: 22.09/8.21 mainModule Main 22.09/8.21 module FiniteMap where { 22.09/8.21 import qualified Main; 22.09/8.21 import qualified Maybe; 22.09/8.21 import qualified Prelude; 22.09/8.21 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 22.09/8.21 22.09/8.21 instance (Eq a, Eq b) => Eq FiniteMap a b where { 22.09/8.21 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 22.09/8.21 } 22.09/8.21 eltsFM_LE :: Ord b => FiniteMap b a -> b -> [a]; 22.09/8.21 eltsFM_LE fm fr = foldFM_LE (\key elt rest ->elt : rest) [] fr fm; 22.09/8.21 22.09/8.21 fmToList :: FiniteMap b a -> [(b,a)]; 22.09/8.21 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 22.09/8.21 22.09/8.21 foldFM :: (c -> a -> b -> b) -> b -> FiniteMap c a -> b; 22.09/8.21 foldFM k z EmptyFM = z; 22.09/8.21 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 22.09/8.21 22.09/8.21 foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c; 22.09/8.21 foldFM_LE k z fr EmptyFM = z; 22.09/8.21 foldFM_LE k z fr (Branch key elt _ fm_l fm_r) | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r 22.09/8.21 | otherwise = foldFM_LE k z fr fm_l; 22.09/8.21 22.09/8.21 sizeFM :: FiniteMap a b -> Int; 22.09/8.21 sizeFM EmptyFM = 0; 22.09/8.21 sizeFM (Branch _ _ size _ _) = size; 22.09/8.21 22.09/8.21 } 22.09/8.21 module Maybe where { 22.09/8.21 import qualified FiniteMap; 22.09/8.21 import qualified Main; 22.09/8.21 import qualified Prelude; 22.09/8.21 } 22.09/8.21 module Main where { 22.09/8.21 import qualified FiniteMap; 22.09/8.21 import qualified Maybe; 22.09/8.21 import qualified Prelude; 22.09/8.21 } 22.09/8.21 22.09/8.21 ---------------------------------------- 22.09/8.21 22.09/8.21 (1) LR (EQUIVALENT)
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