details

property	value
status	complete
benchmark	List_sort_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n078.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	19.7702 seconds
cpu usage	43.4809
user time	42.22
system time	1.26082
max virtual memory	1.8353612E7
max residence set size	3982128.0

stage attributes

key	value
starexec-result	YES

output

40.13/18.84 YES 43.22/19.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 43.22/19.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.22/19.67 43.22/19.67 43.22/19.67 H-Termination with start terms of the given HASKELL could be proven: 43.22/19.67 43.22/19.67 (0) HASKELL 43.22/19.67 (1) CR [EQUIVALENT, 0 ms] 43.22/19.67 (2) HASKELL 43.22/19.67 (3) IFR [EQUIVALENT, 0 ms] 43.22/19.67 (4) HASKELL 43.22/19.67 (5) BR [EQUIVALENT, 1 ms] 43.22/19.67 (6) HASKELL 43.22/19.67 (7) COR [EQUIVALENT, 0 ms] 43.22/19.67 (8) HASKELL 43.22/19.67 (9) LetRed [EQUIVALENT, 0 ms] 43.22/19.67 (10) HASKELL 43.22/19.67 (11) NumRed [SOUND, 0 ms] 43.22/19.67 (12) HASKELL 43.22/19.67 (13) Narrow [SOUND, 0 ms] 43.22/19.67 (14) AND 43.22/19.67 (15) QDP 43.22/19.67 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (17) YES 43.22/19.67 (18) QDP 43.22/19.67 (19) QDPOrderProof [EQUIVALENT, 729 ms] 43.22/19.67 (20) QDP 43.22/19.67 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (22) YES 43.22/19.67 (23) QDP 43.22/19.67 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (25) YES 43.22/19.67 (26) QDP 43.22/19.67 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (28) YES 43.22/19.67 (29) QDP 43.22/19.67 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (31) YES 43.22/19.67 (32) QDP 43.22/19.67 (33) QDPSizeChangeProof [EQUIVALENT, 73 ms] 43.22/19.67 (34) YES 43.22/19.67 (35) QDP 43.22/19.67 (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (37) YES 43.22/19.67 (38) QDP 43.22/19.67 (39) DependencyGraphProof [EQUIVALENT, 0 ms] 43.22/19.67 (40) QDP 43.22/19.67 (41) QDPSizeChangeProof [EQUIVALENT, 34 ms] 43.22/19.67 (42) YES 43.22/19.67 (43) QDP 43.22/19.67 (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (45) YES 43.22/19.67 (46) QDP 43.22/19.67 (47) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.22/19.67 (48) YES 43.22/19.67 43.22/19.67 43.22/19.67 ---------------------------------------- 43.22/19.67 43.22/19.67 (0) 43.22/19.67 Obligation: 43.22/19.67 mainModule Main 43.22/19.67 module Maybe where { 43.22/19.67 import qualified List; 43.22/19.67 import qualified Main; 43.22/19.67 import qualified Prelude; 43.22/19.67 } 43.22/19.67 module List where { 43.22/19.67 import qualified Main; 43.22/19.67 import qualified Maybe; 43.22/19.67 import qualified Prelude; 43.22/19.67 merge :: (a -> a -> Ordering) -> [a] -> [a] -> [a]; 43.22/19.67 merge cmp xs [] = xs; 43.22/19.67 merge cmp [] ys = ys; 43.22/19.67 merge cmp (x : xs) (y : ys) = case x `cmp` y of { 43.22/19.67 GT-> y : merge cmp (x : xs) ys; 43.22/19.67 _-> x : merge cmp xs (y : ys); 43.22/19.67 } ; 43.22/19.67 43.22/19.67 merge_pairs :: (a -> a -> Ordering) -> [[a]] -> [[a]]; 43.22/19.67 merge_pairs cmp [] = []; 43.22/19.67 merge_pairs cmp (xs : []) = xs : []; 43.22/19.67 merge_pairs cmp (xs : ys : xss) = merge cmp xs ys : merge_pairs cmp xss; 43.22/19.67 43.22/19.67 mergesort :: (a -> a -> Ordering) -> [a] -> [a]; 43.22/19.67 mergesort cmp = mergesort' cmp . map wrap; 43.22/19.67 43.22/19.67 mergesort' :: (a -> a -> Ordering) -> [[a]] -> [a]; 43.22/19.67 mergesort' cmp [] = []; 43.22/19.67 mergesort' cmp (xs : []) = xs; 43.22/19.67 mergesort' cmp xss = mergesort' cmp (merge_pairs cmp xss); 43.22/19.67 43.22/19.67 sort :: Ord a => [a] -> [a]; 43.22/19.67 sort l = mergesort compare l; 43.22/19.67 43.22/19.67 wrap :: a -> [a]; 43.22/19.67 wrap x = x : []; 43.22/19.67 43.22/19.67 } popout

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actions

all output return to Haskell 2019-04-01 06.52