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Haskell 2019-04-01 06.52 pair #433316312
details
property
value
status
complete
benchmark
FiniteMap_filterFM_5.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n120.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
17.6351 seconds
cpu usage
37.084
user time
35.7194
system time
1.36457
max virtual memory
1.8285568E7
max residence set size
4197400.0
stage attributes
key
value
starexec-result
YES
output
33.36/16.60 YES 35.89/17.31 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 35.89/17.31 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 35.89/17.31 35.89/17.31 35.89/17.31 H-Termination with start terms of the given HASKELL could be proven: 35.89/17.31 35.89/17.31 (0) HASKELL 35.89/17.31 (1) LR [EQUIVALENT, 0 ms] 35.89/17.31 (2) HASKELL 35.89/17.31 (3) CR [EQUIVALENT, 0 ms] 35.89/17.31 (4) HASKELL 35.89/17.31 (5) BR [EQUIVALENT, 0 ms] 35.89/17.31 (6) HASKELL 35.89/17.31 (7) COR [EQUIVALENT, 14 ms] 35.89/17.31 (8) HASKELL 35.89/17.31 (9) LetRed [EQUIVALENT, 0 ms] 35.89/17.31 (10) HASKELL 35.89/17.31 (11) NumRed [SOUND, 3 ms] 35.89/17.31 (12) HASKELL 35.89/17.31 (13) Narrow [SOUND, 0 ms] 35.89/17.31 (14) AND 35.89/17.31 (15) QDP 35.89/17.31 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (17) YES 35.89/17.31 (18) QDP 35.89/17.31 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (20) YES 35.89/17.31 (21) QDP 35.89/17.31 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (23) YES 35.89/17.31 (24) QDP 35.89/17.31 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (26) YES 35.89/17.31 (27) QDP 35.89/17.31 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (29) YES 35.89/17.31 (30) QDP 35.89/17.31 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (32) YES 35.89/17.31 (33) QDP 35.89/17.31 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (35) YES 35.89/17.31 (36) QDP 35.89/17.31 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (38) YES 35.89/17.31 (39) QDP 35.89/17.31 (40) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (41) YES 35.89/17.31 (42) QDP 35.89/17.31 (43) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (44) YES 35.89/17.31 (45) QDP 35.89/17.31 (46) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (47) YES 35.89/17.31 (48) QDP 35.89/17.31 (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (50) YES 35.89/17.31 (51) QDP 35.89/17.31 (52) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (53) YES 35.89/17.31 (54) QDP 35.89/17.31 (55) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (56) YES 35.89/17.31 (57) QDP 35.89/17.31 (58) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (59) YES 35.89/17.31 (60) QDP 35.89/17.31 (61) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (62) YES 35.89/17.31 (63) QDP 35.89/17.31 (64) QDPSizeChangeProof [EQUIVALENT, 0 ms] 35.89/17.31 (65) YES 35.89/17.31 35.89/17.31 35.89/17.31 ---------------------------------------- 35.89/17.31 35.89/17.31 (0) 35.89/17.31 Obligation: 35.89/17.31 mainModule Main 35.89/17.31 module FiniteMap where { 35.89/17.31 import qualified Main; 35.89/17.31 import qualified Maybe; 35.89/17.31 import qualified Prelude; 35.89/17.31 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 35.89/17.31 35.89/17.31 instance (Eq a, Eq b) => Eq FiniteMap b a where { 35.89/17.31 } 35.89/17.31 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 35.89/17.31 addToFM fm key elt = addToFM_C (\old new ->new) fm key elt; 35.89/17.31 35.89/17.31 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 35.89/17.31 addToFM_C combiner EmptyFM key elt = unitFM key elt; 35.89/17.31 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 35.89/17.31 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 35.89/17.31 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 35.89/17.31 35.89/17.31 deleteMax :: Ord a => FiniteMap a b -> FiniteMap a b; 35.89/17.31 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 35.89/17.31 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
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