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Funct Progr 77531 pair #381921073
details
property
value
status
complete
benchmark
Monad_filterM_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.42246007919 seconds
cpu usage
11.49552643
max memory
6.2799872E8
stage attributes
key
value
output-size
13625
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) IFR [EQUIVALENT, 0 ms] (4) HASKELL (5) BR [EQUIVALENT, 0 ms] (6) HASKELL (7) COR [EQUIVALENT, 0 ms] (8) HASKELL (9) Narrow [SOUND, 0 ms] (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified Main; import qualified Monad; import qualified Prelude; } module Main where { import qualified Maybe; import qualified Monad; import qualified Prelude; } module Monad where { import qualified Main; import qualified Maybe; import qualified Prelude; filterM :: Monad b => (a -> b Bool) -> [a] -> b [a]; filterM _ [] = return []; filterM p (x : xs) = p x >>= (\flg ->filterM p xs >>= (\ys ->return ( if flg then x : ys else ys))); } ---------------------------------------- (1) LR (EQUIVALENT) Lambda Reductions: The following Lambda expression "\ys->return (if flg then x : ys else ys)" is transformed to "filterM0 flg x ys = return (if flg then x : ys else ys); " The following Lambda expression "\flg->filterM p xs >>= filterM0 flg x" is transformed to "filterM1 p xs x flg = filterM p xs >>= filterM0 flg x; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified Main; import qualified Monad; import qualified Prelude; } module Main where { import qualified Maybe; import qualified Monad; import qualified Prelude; } module Monad where { import qualified Main; import qualified Maybe; import qualified Prelude; filterM :: Monad b => (a -> b Bool) -> [a] -> b [a]; filterM _ [] = return []; filterM p (x : xs) = p x >>= filterM1 p xs x; filterM0 flg x ys = return ( if flg then x : ys else ys); filterM1 p xs x flg = filterM p xs >>= filterM0 flg x; } ---------------------------------------- (3) IFR (EQUIVALENT)
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