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Haskell 2019-04-01 06.52 pair #433316770
details
property
value
status
complete
benchmark
FiniteMap_keysFM_GE_3.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n121.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.64379 seconds
cpu usage
13.307
user time
12.9681
system time
0.33893
max virtual memory
1.828548E7
max residence set size
804936.0
stage attributes
key
value
starexec-result
YES
output
11.12/4.90 YES 13.24/5.48 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 13.24/5.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.24/5.48 13.24/5.48 13.24/5.48 H-Termination with start terms of the given HASKELL could be proven: 13.24/5.48 13.24/5.48 (0) HASKELL 13.24/5.48 (1) LR [EQUIVALENT, 0 ms] 13.24/5.48 (2) HASKELL 13.24/5.48 (3) BR [EQUIVALENT, 0 ms] 13.24/5.48 (4) HASKELL 13.24/5.48 (5) COR [EQUIVALENT, 0 ms] 13.24/5.48 (6) HASKELL 13.24/5.48 (7) Narrow [SOUND, 0 ms] 13.24/5.48 (8) AND 13.24/5.48 (9) QDP 13.24/5.48 (10) TransformationProof [EQUIVALENT, 0 ms] 13.24/5.48 (11) QDP 13.24/5.48 (12) TransformationProof [EQUIVALENT, 0 ms] 13.24/5.48 (13) QDP 13.24/5.48 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.24/5.48 (15) YES 13.24/5.48 (16) QDP 13.24/5.48 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.24/5.48 (18) YES 13.24/5.48 (19) QDP 13.24/5.48 (20) TransformationProof [EQUIVALENT, 0 ms] 13.24/5.48 (21) QDP 13.24/5.48 (22) TransformationProof [EQUIVALENT, 0 ms] 13.24/5.48 (23) QDP 13.24/5.48 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.24/5.48 (25) YES 13.24/5.48 13.24/5.48 13.24/5.48 ---------------------------------------- 13.24/5.48 13.24/5.48 (0) 13.24/5.48 Obligation: 13.24/5.48 mainModule Main 13.24/5.48 module FiniteMap where { 13.24/5.48 import qualified Main; 13.24/5.48 import qualified Maybe; 13.24/5.48 import qualified Prelude; 13.24/5.48 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 13.24/5.48 13.24/5.48 instance (Eq a, Eq b) => Eq FiniteMap a b where { 13.24/5.48 } 13.24/5.48 foldFM_GE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b; 13.24/5.48 foldFM_GE k z fr EmptyFM = z; 13.24/5.48 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 13.24/5.48 | otherwise = foldFM_GE k z fr fm_r; 13.24/5.48 13.24/5.48 keysFM_GE :: Ord a => FiniteMap a b -> a -> [a]; 13.24/5.48 keysFM_GE fm fr = foldFM_GE (\key elt rest ->key : rest) [] fr fm; 13.24/5.48 13.24/5.48 } 13.24/5.48 module Maybe where { 13.24/5.48 import qualified FiniteMap; 13.24/5.48 import qualified Main; 13.24/5.48 import qualified Prelude; 13.24/5.48 } 13.24/5.48 module Main where { 13.24/5.48 import qualified FiniteMap; 13.24/5.48 import qualified Maybe; 13.24/5.48 import qualified Prelude; 13.24/5.48 } 13.24/5.48 13.24/5.48 ---------------------------------------- 13.24/5.48 13.24/5.48 (1) LR (EQUIVALENT) 13.24/5.48 Lambda Reductions: 13.24/5.48 The following Lambda expression 13.24/5.48 "\keyeltrest->key : rest" 13.24/5.48 is transformed to 13.24/5.48 "keysFM_GE0 key elt rest = key : rest; 13.24/5.48 " 13.24/5.48 13.24/5.48 ---------------------------------------- 13.24/5.48 13.24/5.48 (2) 13.24/5.48 Obligation: 13.24/5.48 mainModule Main 13.24/5.48 module FiniteMap where { 13.24/5.48 import qualified Main; 13.24/5.48 import qualified Maybe; 13.24/5.48 import qualified Prelude; 13.24/5.48 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 13.24/5.48 13.24/5.48 instance (Eq a, Eq b) => Eq FiniteMap b a where { 13.24/5.48 } 13.24/5.48 foldFM_GE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b; 13.24/5.48 foldFM_GE k z fr EmptyFM = z; 13.24/5.48 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 13.24/5.48 | otherwise = foldFM_GE k z fr fm_r; 13.24/5.48 13.24/5.48 keysFM_GE :: Ord b => FiniteMap b a -> b -> [b]; 13.24/5.48 keysFM_GE fm fr = foldFM_GE keysFM_GE0 [] fr fm; 13.24/5.48 13.24/5.48 keysFM_GE0 key elt rest = key : rest;
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