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Haskell pair #487598598
details
property
value
status
complete
benchmark
FiniteMap_foldFM_GE_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.7590708733 seconds
cpu usage
24.207969727
max memory
4.0066048E9
stage attributes
key
value
output-size
565920
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) CR [EQUIVALENT, 0 ms] (4)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, 12 ms] (8) HASKELL (9) COR [EQUIVALENT, 0 ms] (10) HASKELL (11) LetRed [EQUIVALENT, 22 ms] (12) HASKELL (13) NumRed [SOUND, 0 ms] (14) HASKELL (15) Narrow [SOUND, 0 ms] (16) AND (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) QDPSizeChangeProof [EQUIVALENT, 21 ms] (31) YES (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) QDP (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] (37) YES ---------------------------------------- (0) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 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 b a -> [(b,a)]; fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; foldFM :: (b -> c -> a -> a) -> a -> FiniteMap b c -> 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_GE :: Ord b => (b -> c -> a -> a) -> a -> b -> FiniteMap b c -> a; foldFM_GE k z fr EmptyFM = z; foldFM_GE k z fr (Branch key elt _ fm_l fm_r) | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l | otherwise = foldFM_GE k z fr fm_r; sizeFM :: FiniteMap b a -> 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) Lambda Reductions: The following Lambda expression
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