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Haskell 2019-04-01 06.52 pair #433316346
details
property
value
status
complete
benchmark
FiniteMap_delFromFM_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.1389 seconds
cpu usage
29.6485
user time
28.4248
system time
1.22367
max virtual memory
1.82883E7
max residence set size
3864960.0
stage attributes
key
value
starexec-result
YES
output
25.47/11.04 YES 28.36/11.76 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 28.36/11.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.36/11.76 28.36/11.76 28.36/11.76 H-Termination with start terms of the given HASKELL could be proven: 28.36/11.76 28.36/11.76 (0) HASKELL 28.36/11.76 (1) LR [EQUIVALENT, 0 ms] 28.36/11.76 (2) HASKELL 28.36/11.76 (3) CR [EQUIVALENT, 0 ms] 28.36/11.76 (4) HASKELL 28.36/11.76 (5) IFR [EQUIVALENT, 0 ms] 28.36/11.76 (6) HASKELL 28.36/11.76 (7) BR [EQUIVALENT, 0 ms] 28.36/11.76 (8) HASKELL 28.36/11.76 (9) COR [EQUIVALENT, 0 ms] 28.36/11.76 (10) HASKELL 28.36/11.76 (11) LetRed [EQUIVALENT, 0 ms] 28.36/11.76 (12) HASKELL 28.36/11.76 (13) NumRed [SOUND, 0 ms] 28.36/11.76 (14) HASKELL 28.36/11.76 (15) Narrow [SOUND, 0 ms] 28.36/11.76 (16) AND 28.36/11.76 (17) QDP 28.36/11.76 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (19) YES 28.36/11.76 (20) QDP 28.36/11.76 (21) QDPSizeChangeProof [EQUIVALENT, 3 ms] 28.36/11.76 (22) YES 28.36/11.76 (23) QDP 28.36/11.76 (24) QDPSizeChangeProof [EQUIVALENT, 68 ms] 28.36/11.76 (25) YES 28.36/11.76 (26) QDP 28.36/11.76 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (28) YES 28.36/11.76 (29) QDP 28.36/11.76 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (31) YES 28.36/11.76 (32) QDP 28.36/11.76 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (34) YES 28.36/11.76 (35) QDP 28.36/11.76 (36) TransformationProof [EQUIVALENT, 1526 ms] 28.36/11.76 (37) QDP 28.36/11.76 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (39) YES 28.36/11.76 (40) QDP 28.36/11.76 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (42) YES 28.36/11.76 (43) QDP 28.36/11.76 (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (45) YES 28.36/11.76 (46) QDP 28.36/11.76 (47) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (48) YES 28.36/11.76 (49) QDP 28.36/11.76 (50) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (51) YES 28.36/11.76 (52) QDP 28.36/11.76 (53) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (54) YES 28.36/11.76 (55) QDP 28.36/11.76 (56) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (57) YES 28.36/11.76 (58) QDP 28.36/11.76 (59) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.36/11.76 (60) YES 28.36/11.76 28.36/11.76 28.36/11.76 ---------------------------------------- 28.36/11.76 28.36/11.76 (0) 28.36/11.76 Obligation: 28.36/11.76 mainModule Main 28.36/11.76 module FiniteMap where { 28.36/11.76 import qualified Main; 28.36/11.76 import qualified Maybe; 28.36/11.76 import qualified Prelude; 28.36/11.76 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 28.36/11.76 28.36/11.76 instance (Eq a, Eq b) => Eq FiniteMap b a where { 28.36/11.76 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 28.36/11.76 } 28.36/11.76 delFromFM :: Ord a => FiniteMap a b -> a -> FiniteMap a b; 28.36/11.76 delFromFM EmptyFM del_key = emptyFM; 28.36/11.76 delFromFM (Branch key elt size fm_l fm_r) del_key | del_key > key = mkBalBranch key elt fm_l (delFromFM fm_r del_key) 28.36/11.76 | del_key < key = mkBalBranch key elt (delFromFM fm_l del_key) fm_r 28.36/11.76 | key == del_key = glueBal fm_l fm_r; 28.36/11.76 28.36/11.76 deleteMax :: Ord b => FiniteMap b a -> FiniteMap b a; 28.36/11.76 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 28.36/11.76 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 28.36/11.76 28.36/11.76 deleteMin :: Ord a => FiniteMap a b -> FiniteMap a b; 28.36/11.76 deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r; 28.36/11.76 deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 28.36/11.76 28.36/11.76 emptyFM :: FiniteMap a b; 28.36/11.76 emptyFM = EmptyFM;
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