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Haskell 2019-04-01 06.52 pair #433316960
details
property
value
status
complete
benchmark
FiniteMap_eltsFM_GE_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n123.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.0694 seconds
cpu usage
31.3356
user time
30.0518
system time
1.28383
max virtual memory
1.8285568E7
max residence set size
3945248.0
stage attributes
key
value
starexec-result
YES
output
27.81/13.12 YES 30.85/13.92 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 30.85/13.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 30.85/13.92 30.85/13.92 30.85/13.92 H-Termination with start terms of the given HASKELL could be proven: 30.85/13.92 30.85/13.92 (0) HASKELL 30.85/13.92 (1) LR [EQUIVALENT, 0 ms] 30.85/13.92 (2) HASKELL 30.85/13.92 (3) CR [EQUIVALENT, 0 ms] 30.85/13.92 (4) HASKELL 30.85/13.92 (5) IFR [EQUIVALENT, 0 ms] 30.85/13.92 (6) HASKELL 30.85/13.92 (7) BR [EQUIVALENT, 0 ms] 30.85/13.92 (8) HASKELL 30.85/13.92 (9) COR [EQUIVALENT, 7 ms] 30.85/13.92 (10) HASKELL 30.85/13.92 (11) LetRed [EQUIVALENT, 0 ms] 30.85/13.92 (12) HASKELL 30.85/13.92 (13) NumRed [SOUND, 15 ms] 30.85/13.92 (14) HASKELL 30.85/13.92 (15) Narrow [SOUND, 0 ms] 30.85/13.92 (16) AND 30.85/13.92 (17) QDP 30.85/13.92 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (19) YES 30.85/13.92 (20) QDP 30.85/13.92 (21) QDPSizeChangeProof [EQUIVALENT, 156 ms] 30.85/13.92 (22) YES 30.85/13.92 (23) QDP 30.85/13.92 (24) TransformationProof [EQUIVALENT, 2675 ms] 30.85/13.92 (25) QDP 30.85/13.92 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (27) YES 30.85/13.92 (28) QDP 30.85/13.92 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (30) YES 30.85/13.92 (31) QDP 30.85/13.92 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (33) YES 30.85/13.92 (34) QDP 30.85/13.92 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (36) YES 30.85/13.92 (37) QDP 30.85/13.92 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.85/13.92 (39) YES 30.85/13.92 30.85/13.92 30.85/13.92 ---------------------------------------- 30.85/13.92 30.85/13.92 (0) 30.85/13.92 Obligation: 30.85/13.92 mainModule Main 30.85/13.92 module FiniteMap where { 30.85/13.92 import qualified Main; 30.85/13.92 import qualified Maybe; 30.85/13.92 import qualified Prelude; 30.85/13.92 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 30.85/13.92 30.85/13.92 instance (Eq a, Eq b) => Eq FiniteMap b a where { 30.85/13.92 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 30.85/13.92 } 30.85/13.92 eltsFM_GE :: Ord b => FiniteMap b a -> b -> [a]; 30.85/13.92 eltsFM_GE fm fr = foldFM_GE (\key elt rest ->elt : rest) [] fr fm; 30.85/13.92 30.85/13.92 fmToList :: FiniteMap b a -> [(b,a)]; 30.85/13.92 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 30.85/13.92 30.85/13.92 foldFM :: (a -> c -> b -> b) -> b -> FiniteMap a c -> b; 30.85/13.92 foldFM k z EmptyFM = z; 30.85/13.92 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 30.85/13.92 30.85/13.92 foldFM_GE :: Ord b => (b -> c -> a -> a) -> a -> b -> FiniteMap b c -> a; 30.85/13.92 foldFM_GE k z fr EmptyFM = z; 30.85/13.92 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 30.85/13.92 | otherwise = foldFM_GE k z fr fm_r; 30.85/13.92 30.85/13.92 sizeFM :: FiniteMap a b -> Int; 30.85/13.92 sizeFM EmptyFM = 0; 30.85/13.92 sizeFM (Branch _ _ size _ _) = size; 30.85/13.92 30.85/13.92 } 30.85/13.92 module Maybe where { 30.85/13.92 import qualified FiniteMap; 30.85/13.92 import qualified Main; 30.85/13.92 import qualified Prelude; 30.85/13.92 } 30.85/13.92 module Main where { 30.85/13.92 import qualified FiniteMap; 30.85/13.92 import qualified Maybe; 30.85/13.92 import qualified Prelude; 30.85/13.92 } 30.85/13.92 30.85/13.92 ---------------------------------------- 30.85/13.92 30.85/13.92 (1) LR (EQUIVALENT) 30.85/13.92 Lambda Reductions: 30.85/13.92 The following Lambda expression 30.85/13.92 "\keyeltrest->(key,elt) : rest"
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