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Haskell 2019-04-01 06.52 pair #433316932
details
property
value
status
complete
benchmark
FiniteMap_minFM_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.10489 seconds
cpu usage
12.3352
user time
11.9586
system time
0.376632
max virtual memory
1.8285568E7
max residence set size
719176.0
stage attributes
key
value
starexec-result
YES
output
10.13/4.47 YES 12.27/5.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 12.27/5.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.27/5.05 12.27/5.05 12.27/5.05 H-Termination with start terms of the given HASKELL could be proven: 12.27/5.05 12.27/5.05 (0) HASKELL 12.27/5.05 (1) CR [EQUIVALENT, 0 ms] 12.27/5.05 (2) HASKELL 12.27/5.05 (3) BR [EQUIVALENT, 0 ms] 12.27/5.05 (4) HASKELL 12.27/5.05 (5) COR [EQUIVALENT, 0 ms] 12.27/5.05 (6) HASKELL 12.27/5.05 (7) Narrow [SOUND, 0 ms] 12.27/5.05 (8) QDP 12.27/5.05 (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.27/5.05 (10) YES 12.27/5.05 12.27/5.05 12.27/5.05 ---------------------------------------- 12.27/5.05 12.27/5.05 (0) 12.27/5.05 Obligation: 12.27/5.05 mainModule Main 12.27/5.05 module FiniteMap where { 12.27/5.05 import qualified Main; 12.27/5.05 import qualified Maybe; 12.27/5.05 import qualified Prelude; 12.27/5.05 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 12.27/5.05 12.27/5.05 minFM :: Ord a => FiniteMap a b -> Maybe a; 12.27/5.05 minFM EmptyFM = Nothing; 12.27/5.05 minFM (Branch key _ _ fm_l _) = case minFM fm_l of { 12.27/5.05 Nothing-> Just key; 12.27/5.05 Just key1-> Just key1; 12.27/5.05 } ; 12.27/5.05 12.27/5.05 } 12.27/5.05 module Maybe where { 12.27/5.05 import qualified FiniteMap; 12.27/5.05 import qualified Main; 12.27/5.05 import qualified Prelude; 12.27/5.05 } 12.27/5.05 module Main where { 12.27/5.05 import qualified FiniteMap; 12.27/5.05 import qualified Maybe; 12.27/5.05 import qualified Prelude; 12.27/5.05 } 12.27/5.05 12.27/5.05 ---------------------------------------- 12.27/5.05 12.27/5.05 (1) CR (EQUIVALENT) 12.27/5.05 Case Reductions: 12.27/5.05 The following Case expression 12.27/5.05 "case minFM fm_l of { 12.27/5.05 Nothing -> Just key; 12.27/5.05 Just key1 -> Just key1} 12.27/5.05 " 12.27/5.05 is transformed to 12.27/5.05 "minFM0 key Nothing = Just key; 12.27/5.05 minFM0 key (Just key1) = Just key1; 12.27/5.05 " 12.27/5.05 12.27/5.05 ---------------------------------------- 12.27/5.05 12.27/5.05 (2) 12.27/5.05 Obligation: 12.27/5.05 mainModule Main 12.27/5.05 module FiniteMap where { 12.27/5.05 import qualified Main; 12.27/5.05 import qualified Maybe; 12.27/5.05 import qualified Prelude; 12.27/5.05 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 12.27/5.05 12.27/5.05 minFM :: Ord b => FiniteMap b a -> Maybe b; 12.27/5.05 minFM EmptyFM = Nothing; 12.27/5.05 minFM (Branch key _ _ fm_l _) = minFM0 key (minFM fm_l); 12.27/5.05 12.27/5.05 minFM0 key Nothing = Just key; 12.27/5.05 minFM0 key (Just key1) = Just key1; 12.27/5.05 12.27/5.05 } 12.27/5.05 module Maybe where { 12.27/5.05 import qualified FiniteMap; 12.27/5.05 import qualified Main; 12.27/5.05 import qualified Prelude; 12.27/5.05 } 12.27/5.05 module Main where { 12.27/5.05 import qualified FiniteMap; 12.27/5.05 import qualified Maybe; 12.27/5.05 import qualified Prelude; 12.27/5.05 } 12.27/5.05 12.27/5.05 ---------------------------------------- 12.27/5.05 12.27/5.05 (3) BR (EQUIVALENT) 12.27/5.05 Replaced joker patterns by fresh variables and removed binding patterns. 12.27/5.05 ---------------------------------------- 12.27/5.05
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return to Haskell 2019-04-01 06.52