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Haskell 2019-04-01 06.52 pair #433316874
details
property
value
status
complete
benchmark
FiniteMap_fmToList_LE_10.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
22.1142 seconds
cpu usage
38.6183
user time
37.3901
system time
1.22823
max virtual memory
1.8288076E7
max residence set size
3963720.0
stage attributes
key
value
starexec-result
YES
output
35.26/19.19 YES 37.97/19.95 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 37.97/19.95 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 37.97/19.95 37.97/19.95 37.97/19.95 H-Termination with start terms of the given HASKELL could be proven: 37.97/19.95 37.97/19.95 (0) HASKELL 37.97/19.95 (1) LR [EQUIVALENT, 0 ms] 37.97/19.95 (2) HASKELL 37.97/19.95 (3) CR [EQUIVALENT, 0 ms] 37.97/19.95 (4) HASKELL 37.97/19.95 (5) IFR [EQUIVALENT, 0 ms] 37.97/19.95 (6) HASKELL 37.97/19.95 (7) BR [EQUIVALENT, 12 ms] 37.97/19.95 (8) HASKELL 37.97/19.95 (9) COR [EQUIVALENT, 0 ms] 37.97/19.95 (10) HASKELL 37.97/19.95 (11) LetRed [EQUIVALENT, 24 ms] 37.97/19.95 (12) HASKELL 37.97/19.95 (13) NumRed [SOUND, 0 ms] 37.97/19.95 (14) HASKELL 37.97/19.95 (15) Narrow [SOUND, 0 ms] 37.97/19.95 (16) AND 37.97/19.95 (17) QDP 37.97/19.95 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (19) YES 37.97/19.95 (20) QDP 37.97/19.95 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (22) YES 37.97/19.95 (23) QDP 37.97/19.95 (24) TransformationProof [EQUIVALENT, 1593 ms] 37.97/19.95 (25) QDP 37.97/19.95 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (27) YES 37.97/19.95 (28) QDP 37.97/19.95 (29) QDPSizeChangeProof [EQUIVALENT, 20 ms] 37.97/19.95 (30) YES 37.97/19.95 (31) QDP 37.97/19.95 (32) TransformationProof [EQUIVALENT, 0 ms] 37.97/19.95 (33) QDP 37.97/19.95 (34) TransformationProof [EQUIVALENT, 0 ms] 37.97/19.95 (35) QDP 37.97/19.95 (36) UsableRulesProof [EQUIVALENT, 0 ms] 37.97/19.95 (37) QDP 37.97/19.95 (38) QReductionProof [EQUIVALENT, 30 ms] 37.97/19.95 (39) QDP 37.97/19.95 (40) QDPOrderProof [EQUIVALENT, 146 ms] 37.97/19.95 (41) QDP 37.97/19.95 (42) DependencyGraphProof [EQUIVALENT, 0 ms] 37.97/19.95 (43) QDP 37.97/19.95 (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (45) YES 37.97/19.95 (46) QDP 37.97/19.95 (47) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (48) YES 37.97/19.95 (49) QDP 37.97/19.95 (50) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (51) YES 37.97/19.95 (52) QDP 37.97/19.95 (53) TransformationProof [EQUIVALENT, 1065 ms] 37.97/19.95 (54) QDP 37.97/19.95 (55) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (56) YES 37.97/19.95 (57) QDP 37.97/19.95 (58) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (59) YES 37.97/19.95 (60) QDP 37.97/19.95 (61) QDPSizeChangeProof [EQUIVALENT, 0 ms] 37.97/19.95 (62) YES 37.97/19.95 37.97/19.95 37.97/19.95 ---------------------------------------- 37.97/19.95 37.97/19.95 (0) 37.97/19.95 Obligation: 37.97/19.95 mainModule Main 37.97/19.95 module FiniteMap where { 37.97/19.95 import qualified Main; 37.97/19.95 import qualified Maybe; 37.97/19.95 import qualified Prelude; 37.97/19.95 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 37.97/19.95 37.97/19.95 instance (Eq a, Eq b) => Eq FiniteMap a b where { 37.97/19.95 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 37.97/19.95 } 37.97/19.95 fmToList :: FiniteMap b a -> [(b,a)]; 37.97/19.95 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 37.97/19.95 37.97/19.95 fmToList_LE :: Ord b => FiniteMap b a -> b -> [(b,a)]; 37.97/19.95 fmToList_LE fm fr = foldFM_LE (\key elt rest ->(key,elt) : rest) [] fr fm; 37.97/19.95 37.97/19.95 foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c; 37.97/19.95 foldFM k z EmptyFM = z; 37.97/19.95 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 37.97/19.95 37.97/19.95 foldFM_LE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b; 37.97/19.95 foldFM_LE k z fr EmptyFM = z; 37.97/19.95 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 37.97/19.95 | otherwise = foldFM_LE k z fr fm_l;
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