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Haskell 2019-04-01 06.52 pair #433316241
details
property
value
status
complete
benchmark
FiniteMap_foldFM_LE_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
17.5773 seconds
cpu usage
34.416
user time
33.189
system time
1.22707
max virtual memory
1.8353612E7
max residence set size
3956572.0
stage attributes
key
value
starexec-result
YES
output
31.33/16.71 YES 34.04/17.46 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 34.04/17.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.04/17.46 34.04/17.46 34.04/17.46 H-Termination with start terms of the given HASKELL could be proven: 34.04/17.46 34.04/17.46 (0) HASKELL 34.04/17.46 (1) LR [EQUIVALENT, 0 ms] 34.04/17.46 (2) HASKELL 34.04/17.46 (3) CR [EQUIVALENT, 0 ms] 34.04/17.46 (4) HASKELL 34.04/17.46 (5) IFR [EQUIVALENT, 0 ms] 34.04/17.46 (6) HASKELL 34.04/17.46 (7) BR [EQUIVALENT, 0 ms] 34.04/17.46 (8) HASKELL 34.04/17.46 (9) COR [EQUIVALENT, 0 ms] 34.04/17.46 (10) HASKELL 34.04/17.46 (11) LetRed [EQUIVALENT, 0 ms] 34.04/17.46 (12) HASKELL 34.04/17.46 (13) NumRed [SOUND, 2 ms] 34.04/17.46 (14) HASKELL 34.04/17.46 (15) Narrow [SOUND, 0 ms] 34.04/17.46 (16) AND 34.04/17.46 (17) QDP 34.04/17.46 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (19) YES 34.04/17.46 (20) QDP 34.04/17.46 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (22) YES 34.04/17.46 (23) QDP 34.04/17.46 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (25) YES 34.04/17.46 (26) QDP 34.04/17.46 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (28) YES 34.04/17.46 (29) QDP 34.04/17.46 (30) TransformationProof [EQUIVALENT, 1 ms] 34.04/17.46 (31) QDP 34.04/17.46 (32) TransformationProof [EQUIVALENT, 0 ms] 34.04/17.46 (33) QDP 34.04/17.46 (34) UsableRulesProof [EQUIVALENT, 0 ms] 34.04/17.46 (35) QDP 34.04/17.46 (36) QReductionProof [EQUIVALENT, 0 ms] 34.04/17.46 (37) QDP 34.04/17.46 (38) QDPOrderProof [EQUIVALENT, 157 ms] 34.04/17.46 (39) QDP 34.04/17.46 (40) DependencyGraphProof [EQUIVALENT, 0 ms] 34.04/17.46 (41) QDP 34.04/17.46 (42) QDPOrderProof [EQUIVALENT, 22 ms] 34.04/17.46 (43) QDP 34.04/17.46 (44) DependencyGraphProof [EQUIVALENT, 0 ms] 34.04/17.46 (45) QDP 34.04/17.46 (46) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (47) YES 34.04/17.46 (48) QDP 34.04/17.46 (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (50) YES 34.04/17.46 (51) QDP 34.04/17.46 (52) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (53) YES 34.04/17.46 (54) QDP 34.04/17.46 (55) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (56) YES 34.04/17.46 (57) QDP 34.04/17.46 (58) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.04/17.46 (59) YES 34.04/17.46 34.04/17.46 34.04/17.46 ---------------------------------------- 34.04/17.46 34.04/17.46 (0) 34.04/17.46 Obligation: 34.04/17.46 mainModule Main 34.04/17.46 module FiniteMap where { 34.04/17.46 import qualified Main; 34.04/17.46 import qualified Maybe; 34.04/17.46 import qualified Prelude; 34.04/17.46 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 34.04/17.46 34.04/17.46 instance (Eq a, Eq b) => Eq FiniteMap a b where { 34.04/17.46 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 34.04/17.46 } 34.04/17.46 fmToList :: FiniteMap a b -> [(a,b)]; 34.04/17.46 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 34.04/17.46 34.04/17.46 foldFM :: (b -> c -> a -> a) -> a -> FiniteMap b c -> a; 34.04/17.46 foldFM k z EmptyFM = z; 34.04/17.46 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 34.04/17.46 34.04/17.46 foldFM_LE :: Ord b => (b -> a -> c -> c) -> c -> b -> FiniteMap b a -> c; 34.04/17.46 foldFM_LE k z fr EmptyFM = z; 34.04/17.46 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 34.04/17.46 | otherwise = foldFM_LE k z fr fm_l; 34.04/17.46 34.04/17.46 sizeFM :: FiniteMap b a -> Int; 34.04/17.46 sizeFM EmptyFM = 0; 34.04/17.46 sizeFM (Branch _ _ size _ _) = size; 34.04/17.46 34.04/17.46 }
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