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Haskell 2019-04-01 06.52 pair #433317102
details
property
value
status
complete
benchmark
FiniteMap_fmToList_GE_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.8963 seconds
cpu usage
26.8365
user time
25.6676
system time
1.16892
max virtual memory
1.8285568E7
max residence set size
3942996.0
stage attributes
key
value
starexec-result
YES
output
23.56/9.96 YES 26.52/10.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 26.52/10.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.52/10.79 26.52/10.79 26.52/10.79 H-Termination with start terms of the given HASKELL could be proven: 26.52/10.79 26.52/10.79 (0) HASKELL 26.52/10.79 (1) LR [EQUIVALENT, 0 ms] 26.52/10.79 (2) HASKELL 26.52/10.79 (3) CR [EQUIVALENT, 0 ms] 26.52/10.79 (4) HASKELL 26.52/10.79 (5) IFR [EQUIVALENT, 0 ms] 26.52/10.79 (6) HASKELL 26.52/10.79 (7) BR [EQUIVALENT, 13 ms] 26.52/10.79 (8) HASKELL 26.52/10.79 (9) COR [EQUIVALENT, 0 ms] 26.52/10.79 (10) HASKELL 26.52/10.79 (11) LetRed [EQUIVALENT, 0 ms] 26.52/10.79 (12) HASKELL 26.52/10.79 (13) NumRed [SOUND, 7 ms] 26.52/10.79 (14) HASKELL 26.52/10.79 (15) Narrow [SOUND, 0 ms] 26.52/10.79 (16) AND 26.52/10.79 (17) QDP 26.52/10.79 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (19) YES 26.52/10.79 (20) QDP 26.52/10.79 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (22) YES 26.52/10.79 (23) QDP 26.52/10.79 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (25) YES 26.52/10.79 (26) QDP 26.52/10.79 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (28) YES 26.52/10.79 (29) QDP 26.52/10.79 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (31) YES 26.52/10.79 (32) QDP 26.52/10.79 (33) QDPSizeChangeProof [EQUIVALENT, 85 ms] 26.52/10.79 (34) YES 26.52/10.79 (35) QDP 26.52/10.79 (36) TransformationProof [EQUIVALENT, 1442 ms] 26.52/10.79 (37) QDP 26.52/10.79 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.52/10.79 (39) YES 26.52/10.79 26.52/10.79 26.52/10.79 ---------------------------------------- 26.52/10.79 26.52/10.79 (0) 26.52/10.79 Obligation: 26.52/10.79 mainModule Main 26.52/10.79 module FiniteMap where { 26.52/10.79 import qualified Main; 26.52/10.79 import qualified Maybe; 26.52/10.79 import qualified Prelude; 26.52/10.79 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 26.52/10.79 26.52/10.79 instance (Eq a, Eq b) => Eq FiniteMap b a where { 26.52/10.79 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 26.52/10.79 } 26.52/10.79 fmToList :: FiniteMap b a -> [(b,a)]; 26.52/10.79 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 26.52/10.79 26.52/10.79 fmToList_GE :: Ord b => FiniteMap b a -> b -> [(b,a)]; 26.52/10.79 fmToList_GE fm fr = foldFM_GE (\key elt rest ->(key,elt) : rest) [] fr fm; 26.52/10.79 26.52/10.79 foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c; 26.52/10.79 foldFM k z EmptyFM = z; 26.52/10.79 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 26.52/10.79 26.52/10.79 foldFM_GE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c; 26.52/10.79 foldFM_GE k z fr EmptyFM = z; 26.52/10.79 foldFM_GE k z fr (Branch key elt _ fm_l fm_r) | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l 26.52/10.79 | otherwise = foldFM_GE k z fr fm_r; 26.52/10.79 26.52/10.79 sizeFM :: FiniteMap b a -> Int; 26.52/10.79 sizeFM EmptyFM = 0; 26.52/10.79 sizeFM (Branch _ _ size _ _) = size; 26.52/10.79 26.52/10.79 } 26.52/10.79 module Maybe where { 26.52/10.79 import qualified FiniteMap; 26.52/10.79 import qualified Main; 26.52/10.79 import qualified Prelude; 26.52/10.79 } 26.52/10.79 module Main where { 26.52/10.79 import qualified FiniteMap; 26.52/10.79 import qualified Maybe; 26.52/10.79 import qualified Prelude; 26.52/10.79 } 26.52/10.79 26.52/10.79 ---------------------------------------- 26.52/10.79 26.52/10.79 (1) LR (EQUIVALENT) 26.52/10.79 Lambda Reductions: 26.52/10.79 The following Lambda expression 26.52/10.79 "\keyeltrest->(key,elt) : rest"
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