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Haskell 2019-04-01 06.52 pair #433316237
details
property
value
status
complete
benchmark
FiniteMap_delFromFM_6.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n017.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
104.749 seconds
cpu usage
132.432
user time
129.623
system time
2.80892
max virtual memory
1.8285568E7
max residence set size
5965932.0
stage attributes
key
value
starexec-result
MAYBE
output
126.93/103.24 MAYBE 131.46/104.46 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 131.46/104.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 131.46/104.46 131.46/104.46 131.46/104.46 H-Termination with start terms of the given HASKELL could not be shown: 131.46/104.46 131.46/104.46 (0) HASKELL 131.46/104.46 (1) LR [EQUIVALENT, 0 ms] 131.46/104.46 (2) HASKELL 131.46/104.46 (3) CR [EQUIVALENT, 0 ms] 131.46/104.46 (4) HASKELL 131.46/104.46 (5) BR [EQUIVALENT, 0 ms] 131.46/104.46 (6) HASKELL 131.46/104.46 (7) COR [EQUIVALENT, 15 ms] 131.46/104.46 (8) HASKELL 131.46/104.46 (9) LetRed [EQUIVALENT, 0 ms] 131.46/104.46 (10) HASKELL 131.46/104.46 (11) NumRed [SOUND, 0 ms] 131.46/104.46 (12) HASKELL 131.46/104.46 131.46/104.46 131.46/104.46 ---------------------------------------- 131.46/104.46 131.46/104.46 (0) 131.46/104.46 Obligation: 131.46/104.46 mainModule Main 131.46/104.46 module FiniteMap where { 131.46/104.46 import qualified Main; 131.46/104.46 import qualified Maybe; 131.46/104.46 import qualified Prelude; 131.46/104.46 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 131.46/104.46 131.46/104.46 instance (Eq a, Eq b) => Eq FiniteMap a b where { 131.46/104.46 } 131.46/104.46 delFromFM :: Ord a => FiniteMap a b -> a -> FiniteMap a b; 131.46/104.46 delFromFM EmptyFM del_key = emptyFM; 131.46/104.46 delFromFM (Branch key elt size fm_l fm_r) del_key | del_key > key = mkBalBranch key elt fm_l (delFromFM fm_r del_key) 131.46/104.46 | del_key < key = mkBalBranch key elt (delFromFM fm_l del_key) fm_r 131.46/104.46 | key == del_key = glueBal fm_l fm_r; 131.46/104.46 131.46/104.46 deleteMax :: Ord b => FiniteMap b a -> FiniteMap b a; 131.46/104.46 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 131.46/104.46 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 131.46/104.46 131.46/104.46 deleteMin :: Ord b => FiniteMap b a -> FiniteMap b a; 131.46/104.46 deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r; 131.46/104.46 deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 131.46/104.46 131.46/104.46 emptyFM :: FiniteMap b a; 131.46/104.46 emptyFM = EmptyFM; 131.46/104.46 131.46/104.46 findMax :: FiniteMap b a -> (b,a); 131.46/104.46 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 131.46/104.46 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 131.46/104.46 131.46/104.46 findMin :: FiniteMap b a -> (b,a); 131.46/104.46 findMin (Branch key elt _ EmptyFM _) = (key,elt); 131.46/104.46 findMin (Branch key elt _ fm_l _) = findMin fm_l; 131.46/104.46 131.46/104.46 glueBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 131.46/104.46 glueBal EmptyFM fm2 = fm2; 131.46/104.46 glueBal fm1 EmptyFM = fm1; 131.46/104.46 glueBal fm1 fm2 | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2) 131.46/104.46 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 131.46/104.46 mid_elt1 = (\(_,mid_elt1) ->mid_elt1) vv2; 131.46/104.46 mid_elt2 = (\(_,mid_elt2) ->mid_elt2) vv3; 131.46/104.46 mid_key1 = (\(mid_key1,_) ->mid_key1) vv2; 131.46/104.46 mid_key2 = (\(mid_key2,_) ->mid_key2) vv3; 131.46/104.46 vv2 = findMax fm1; 131.46/104.46 vv3 = findMin fm2; 131.46/104.46 }; 131.46/104.46 131.46/104.46 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 131.46/104.46 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 131.46/104.46 | size_r > sIZE_RATIO * size_l = case fm_R of { 131.46/104.46 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R 131.46/104.46 | otherwise -> double_L fm_L fm_R; 131.46/104.46 } 131.46/104.46 | size_l > sIZE_RATIO * size_r = case fm_L of { 131.46/104.46 Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R 131.46/104.46 | otherwise -> double_R fm_L fm_R; 131.46/104.46 } 131.46/104.46 | otherwise = mkBranch 2 key elt fm_L fm_R where { 131.46/104.46 double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 131.46/104.46 double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 131.46/104.46 single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 131.46/104.46 single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 131.46/104.46 size_l = sizeFM fm_L; 131.46/104.46 size_r = sizeFM fm_R; 131.46/104.46 }; 131.46/104.46 131.46/104.46 mkBranch :: Ord a => Int -> a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 131.46/104.46 mkBranch which key elt fm_l fm_r = let { 131.46/104.46 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 131.46/104.46 } in result where { 131.46/104.46 balance_ok = True; 131.46/104.46 left_ok = case fm_l of { 131.46/104.46 EmptyFM-> True; 131.46/104.46 Branch left_key _ _ _ _-> let {
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