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Haskell 2019-04-01 06.52 pair #433316729
details
property
value
status
complete
benchmark
FiniteMap_keysFM_LE_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.75437 seconds
cpu usage
23.7172
user time
22.9977
system time
0.719532
max virtual memory
1.8288192E7
max residence set size
1984632.0
stage attributes
key
value
starexec-result
YES
output
19.68/7.54 YES 23.30/8.48 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 23.30/8.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.30/8.48 23.30/8.48 23.30/8.48 H-Termination with start terms of the given HASKELL could be proven: 23.30/8.48 23.30/8.48 (0) HASKELL 23.30/8.48 (1) LR [EQUIVALENT, 0 ms] 23.30/8.48 (2) HASKELL 23.30/8.48 (3) CR [EQUIVALENT, 0 ms] 23.30/8.48 (4) HASKELL 23.30/8.48 (5) IFR [EQUIVALENT, 0 ms] 23.30/8.48 (6) HASKELL 23.30/8.48 (7) BR [EQUIVALENT, 0 ms] 23.30/8.48 (8) HASKELL 23.30/8.48 (9) COR [EQUIVALENT, 4 ms] 23.30/8.48 (10) HASKELL 23.30/8.48 (11) LetRed [EQUIVALENT, 0 ms] 23.30/8.48 (12) HASKELL 23.30/8.48 (13) NumRed [SOUND, 10 ms] 23.30/8.48 (14) HASKELL 23.30/8.48 (15) Narrow [SOUND, 0 ms] 23.30/8.48 (16) AND 23.30/8.48 (17) QDP 23.30/8.48 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (19) YES 23.30/8.48 (20) QDP 23.30/8.48 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (22) YES 23.30/8.48 (23) QDP 23.30/8.48 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (25) YES 23.30/8.48 (26) QDP 23.30/8.48 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (28) YES 23.30/8.48 (29) QDP 23.30/8.48 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (31) YES 23.30/8.48 (32) QDP 23.30/8.48 (33) DependencyGraphProof [EQUIVALENT, 0 ms] 23.30/8.48 (34) QDP 23.30/8.48 (35) QDPSizeChangeProof [EQUIVALENT, 245 ms] 23.30/8.48 (36) YES 23.30/8.48 (37) QDP 23.30/8.48 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (39) YES 23.30/8.48 (40) QDP 23.30/8.48 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.30/8.48 (42) YES 23.30/8.48 23.30/8.48 23.30/8.48 ---------------------------------------- 23.30/8.48 23.30/8.48 (0) 23.30/8.48 Obligation: 23.30/8.48 mainModule Main 23.30/8.48 module FiniteMap where { 23.30/8.48 import qualified Main; 23.30/8.48 import qualified Maybe; 23.30/8.48 import qualified Prelude; 23.30/8.48 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 23.30/8.48 23.30/8.48 instance (Eq a, Eq b) => Eq FiniteMap a b where { 23.30/8.48 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 23.30/8.48 } 23.30/8.48 fmToList :: FiniteMap a b -> [(a,b)]; 23.30/8.48 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 23.30/8.48 23.30/8.48 foldFM :: (c -> b -> a -> a) -> a -> FiniteMap c b -> a; 23.30/8.48 foldFM k z EmptyFM = z; 23.30/8.48 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 23.30/8.48 23.30/8.48 foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c; 23.30/8.48 foldFM_LE k z fr EmptyFM = z; 23.30/8.48 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 23.30/8.48 | otherwise = foldFM_LE k z fr fm_l; 23.30/8.48 23.30/8.48 keysFM_LE :: Ord a => FiniteMap a b -> a -> [a]; 23.30/8.48 keysFM_LE fm fr = foldFM_LE (\key elt rest ->key : rest) [] fr fm; 23.30/8.48 23.30/8.48 sizeFM :: FiniteMap a b -> Int; 23.30/8.48 sizeFM EmptyFM = 0; 23.30/8.48 sizeFM (Branch _ _ size _ _) = size; 23.30/8.48 23.30/8.48 } 23.30/8.48 module Maybe where { 23.30/8.48 import qualified FiniteMap; 23.30/8.48 import qualified Main; 23.30/8.48 import qualified Prelude; 23.30/8.48 } 23.30/8.48 module Main where { 23.30/8.48 import qualified FiniteMap; 23.30/8.48 import qualified Maybe; 23.30/8.48 import qualified Prelude; 23.30/8.48 } 23.30/8.48 23.30/8.48 ---------------------------------------- 23.30/8.48 23.30/8.48 (1) LR (EQUIVALENT)
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