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Haskell 2019-04-01 06.52 pair #433316631
details
property
value
status
complete
benchmark
List_union_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.96827 seconds
cpu usage
21.7279
user time
21.0143
system time
0.713647
max virtual memory
1.8285568E7
max residence set size
2042424.0
stage attributes
key
value
starexec-result
YES
output
18.58/6.95 YES 21.35/7.68 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 21.35/7.68 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.35/7.68 21.35/7.68 21.35/7.68 H-Termination with start terms of the given HASKELL could be proven: 21.35/7.68 21.35/7.68 (0) HASKELL 21.35/7.68 (1) IFR [EQUIVALENT, 0 ms] 21.35/7.68 (2) HASKELL 21.35/7.68 (3) BR [EQUIVALENT, 0 ms] 21.35/7.68 (4) HASKELL 21.35/7.68 (5) COR [EQUIVALENT, 13 ms] 21.35/7.68 (6) HASKELL 21.35/7.68 (7) LetRed [EQUIVALENT, 0 ms] 21.35/7.68 (8) HASKELL 21.35/7.68 (9) Narrow [SOUND, 0 ms] 21.35/7.68 (10) AND 21.35/7.68 (11) QDP 21.35/7.68 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (13) YES 21.35/7.68 (14) QDP 21.35/7.68 (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (16) YES 21.35/7.68 (17) QDP 21.35/7.68 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (19) YES 21.35/7.68 (20) QDP 21.35/7.68 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (22) YES 21.35/7.68 (23) QDP 21.35/7.68 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (25) YES 21.35/7.68 (26) QDP 21.35/7.68 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 21.35/7.68 (28) QDP 21.35/7.68 (29) TransformationProof [EQUIVALENT, 0 ms] 21.35/7.68 (30) QDP 21.35/7.68 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (32) YES 21.35/7.68 (33) QDP 21.35/7.68 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (35) YES 21.35/7.68 (36) QDP 21.35/7.68 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.35/7.68 (38) YES 21.35/7.68 21.35/7.68 21.35/7.68 ---------------------------------------- 21.35/7.68 21.35/7.68 (0) 21.35/7.68 Obligation: 21.35/7.68 mainModule Main 21.35/7.68 module Maybe where { 21.35/7.68 import qualified List; 21.35/7.68 import qualified Main; 21.35/7.68 import qualified Prelude; 21.35/7.68 } 21.35/7.68 module List where { 21.35/7.68 import qualified Main; 21.35/7.68 import qualified Maybe; 21.35/7.68 import qualified Prelude; 21.35/7.68 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 21.35/7.68 deleteBy _ _ [] = []; 21.35/7.68 deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; 21.35/7.68 21.35/7.68 elem_by :: (a -> a -> Bool) -> a -> [a] -> Bool; 21.35/7.68 elem_by _ _ [] = False; 21.35/7.68 elem_by eq y (x : xs) = x `eq` y || elem_by eq y xs; 21.35/7.68 21.35/7.68 nubBy :: (a -> a -> Bool) -> [a] -> [a]; 21.35/7.68 nubBy eq l = nubBy' l [] where { 21.35/7.68 nubBy' [] _ = []; 21.35/7.68 nubBy' (y : ys) xs | elem_by eq y xs = nubBy' ys xs 21.35/7.68 | otherwise = y : nubBy' ys (y : xs); 21.35/7.68 }; 21.35/7.68 21.35/7.68 union :: Eq a => [a] -> [a] -> [a]; 21.35/7.68 union = unionBy (==); 21.35/7.68 21.35/7.68 unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 21.35/7.68 unionBy eq xs ys = xs ++ foldl (flip (deleteBy eq)) (nubBy eq ys) xs; 21.35/7.68 21.35/7.68 } 21.35/7.68 module Main where { 21.35/7.68 import qualified List; 21.35/7.68 import qualified Maybe; 21.35/7.68 import qualified Prelude; 21.35/7.68 } 21.35/7.68 21.35/7.68 ---------------------------------------- 21.35/7.68 21.35/7.68 (1) IFR (EQUIVALENT) 21.35/7.68 If Reductions: 21.35/7.68 The following If expression 21.35/7.68 "if eq x y then ys else y : deleteBy eq x ys" 21.35/7.68 is transformed to 21.35/7.68 "deleteBy0 ys y eq x True = ys; 21.35/7.68 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 21.35/7.68 "
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