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Haskell pair #487599121
details
property
value
status
complete
benchmark
FiniteMap_foldFM_LE_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.1526930332 seconds
cpu usage
25.077345928
max memory
4.013326336E9
stage attributes
key
value
output-size
618689
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) CR [EQUIVALENT, 0 ms] (4) HASKELL (5) IFR [EQUIVALENT, 0 ms] (6) HASKELL (7) BR [EQUIVALENT, 15 ms] (8) HASKELL (9) COR [EQUIVALENT, 0 ms] (10) HASKELL (11) LetRed [EQUIVALENT, 0 ms] (12) HASKELL (13) NumRed [SOUND, 11 ms] (14) HASKELL (15) Narrow [SOUND, 0 ms] (16) AND (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 127 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) 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) ; instance (Eq a, Eq b) => Eq FiniteMap b a where { (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; } fmToList :: FiniteMap a b -> [(a,b)]; fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; foldFM :: (c -> b -> a -> a) -> a -> FiniteMap c b -> a; foldFM k z EmptyFM = z; foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; foldFM_LE :: Ord b => (b -> c -> a -> a) -> a -> b -> FiniteMap b c -> a; foldFM_LE k z fr EmptyFM = z; foldFM_LE k z fr (Branch key elt _ fm_l fm_r) | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r | otherwise = foldFM_LE k z fr fm_l; sizeFM :: FiniteMap a b -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; } 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) LR (EQUIVALENT)
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