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Funct Progr 77531 pair #381920308
details
property
value
status
complete
benchmark
FiniteMap_maxFM_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.92151713371 seconds
cpu usage
11.945758314
max memory
7.41728256E8
stage attributes
key
value
output-size
7237
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) CR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 0 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) QDP (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; maxFM :: Ord a => FiniteMap a b -> Maybe a; maxFM EmptyFM = Nothing; maxFM (Branch key _ _ _ fm_r) = case maxFM fm_r of { Nothing-> Just key; Just key1-> Just key1; } ; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) CR (EQUIVALENT) Case Reductions: The following Case expression "case maxFM fm_r of { Nothing -> Just key; Just key1 -> Just key1} " is transformed to "maxFM0 key Nothing = Just key; maxFM0 key (Just key1) = Just key1; " ---------------------------------------- (2) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; maxFM :: Ord b => FiniteMap b a -> Maybe b; maxFM EmptyFM = Nothing; maxFM (Branch key _ _ _ fm_r) = maxFM0 key (maxFM fm_r); maxFM0 key Nothing = Just key; maxFM0 key (Just key1) = Just key1; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; }
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