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Haskell 2019-04-01 06.52 pair #433315911
details
property
value
status
complete
benchmark
Monad_foldM_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.32484 seconds
cpu usage
10.5622
user time
10.2374
system time
0.324771
max virtual memory
1.8285568E7
max residence set size
604076.0
stage attributes
key
value
starexec-result
YES
output
8.52/3.75 YES 10.48/4.28 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 10.48/4.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.48/4.28 10.48/4.28 10.48/4.28 H-Termination with start terms of the given HASKELL could be proven: 10.48/4.28 10.48/4.28 (0) HASKELL 10.48/4.28 (1) LR [EQUIVALENT, 0 ms] 10.48/4.28 (2) HASKELL 10.48/4.28 (3) BR [EQUIVALENT, 0 ms] 10.48/4.28 (4) HASKELL 10.48/4.28 (5) COR [EQUIVALENT, 0 ms] 10.48/4.28 (6) HASKELL 10.48/4.28 (7) Narrow [SOUND, 0 ms] 10.48/4.28 (8) QDP 10.48/4.28 (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.48/4.28 (10) YES 10.48/4.28 10.48/4.28 10.48/4.28 ---------------------------------------- 10.48/4.28 10.48/4.28 (0) 10.48/4.28 Obligation: 10.48/4.28 mainModule Main 10.48/4.28 module Maybe where { 10.48/4.28 import qualified Main; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude; 10.48/4.28 } 10.48/4.28 module Main where { 10.48/4.28 import qualified Maybe; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude; 10.48/4.28 } 10.48/4.28 module Monad where { 10.48/4.28 import qualified Main; 10.48/4.28 import qualified Maybe; 10.48/4.28 import qualified Prelude; 10.48/4.28 foldM :: Monad c => (a -> b -> c a) -> a -> [b] -> c a; 10.48/4.28 foldM _ a [] = return a; 10.48/4.28 foldM f a (x : xs) = f a x >>= (\fax ->foldM f fax xs); 10.48/4.28 10.48/4.28 } 10.48/4.28 10.48/4.28 ---------------------------------------- 10.48/4.28 10.48/4.28 (1) LR (EQUIVALENT) 10.48/4.28 Lambda Reductions: 10.48/4.28 The following Lambda expression 10.48/4.28 "\fax->foldM f fax xs" 10.48/4.28 is transformed to 10.48/4.28 "foldM0 f xs fax = foldM f fax xs; 10.48/4.28 " 10.48/4.28 10.48/4.28 ---------------------------------------- 10.48/4.28 10.48/4.28 (2) 10.48/4.28 Obligation: 10.48/4.28 mainModule Main 10.48/4.28 module Maybe where { 10.48/4.28 import qualified Main; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude; 10.48/4.28 } 10.48/4.28 module Main where { 10.48/4.28 import qualified Maybe; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude; 10.48/4.28 } 10.48/4.28 module Monad where { 10.48/4.28 import qualified Main; 10.48/4.28 import qualified Maybe; 10.48/4.28 import qualified Prelude; 10.48/4.28 foldM :: Monad c => (a -> b -> c a) -> a -> [b] -> c a; 10.48/4.28 foldM _ a [] = return a; 10.48/4.28 foldM f a (x : xs) = f a x >>= foldM0 f xs; 10.48/4.28 10.48/4.28 foldM0 f xs fax = foldM f fax xs; 10.48/4.28 10.48/4.28 } 10.48/4.28 10.48/4.28 ---------------------------------------- 10.48/4.28 10.48/4.28 (3) BR (EQUIVALENT) 10.48/4.28 Replaced joker patterns by fresh variables and removed binding patterns. 10.48/4.28 ---------------------------------------- 10.48/4.28 10.48/4.28 (4) 10.48/4.28 Obligation: 10.48/4.28 mainModule Main 10.48/4.28 module Maybe where { 10.48/4.28 import qualified Main; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude; 10.48/4.28 } 10.48/4.28 module Main where { 10.48/4.28 import qualified Maybe; 10.48/4.28 import qualified Monad; 10.48/4.28 import qualified Prelude;
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