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Haskell 2019-04-01 06.52 pair #433315896
details
property
value
status
complete
benchmark
List_delete_10.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.10919 seconds
cpu usage
15.5378
user time
15.062
system time
0.475799
max virtual memory
1.8285568E7
max residence set size
1130288.0
stage attributes
key
value
starexec-result
YES
output
13.06/5.25 YES 15.26/5.87 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 15.26/5.87 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.26/5.87 15.26/5.87 15.26/5.87 H-Termination with start terms of the given HASKELL could be proven: 15.26/5.87 15.26/5.87 (0) HASKELL 15.26/5.87 (1) IFR [EQUIVALENT, 0 ms] 15.26/5.87 (2) HASKELL 15.26/5.87 (3) BR [EQUIVALENT, 0 ms] 15.26/5.87 (4) HASKELL 15.26/5.87 (5) COR [EQUIVALENT, 14 ms] 15.26/5.87 (6) HASKELL 15.26/5.87 (7) Narrow [SOUND, 0 ms] 15.26/5.87 (8) AND 15.26/5.87 (9) QDP 15.26/5.87 (10) QDPSizeChangeProof [EQUIVALENT, 40 ms] 15.26/5.87 (11) YES 15.26/5.87 (12) QDP 15.26/5.87 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 15.26/5.87 (14) AND 15.26/5.87 (15) QDP 15.26/5.87 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.26/5.87 (17) YES 15.26/5.87 (18) QDP 15.26/5.87 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.26/5.87 (20) YES 15.26/5.87 (21) QDP 15.26/5.87 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.26/5.87 (23) YES 15.26/5.87 (24) QDP 15.26/5.87 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.26/5.87 (26) YES 15.26/5.87 (27) QDP 15.26/5.87 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.26/5.87 (29) YES 15.26/5.87 15.26/5.87 15.26/5.87 ---------------------------------------- 15.26/5.87 15.26/5.87 (0) 15.26/5.87 Obligation: 15.26/5.87 mainModule Main 15.26/5.87 module Maybe where { 15.26/5.87 import qualified List; 15.26/5.87 import qualified Main; 15.26/5.87 import qualified Prelude; 15.26/5.87 } 15.26/5.87 module List where { 15.26/5.87 import qualified Main; 15.26/5.87 import qualified Maybe; 15.26/5.87 import qualified Prelude; 15.26/5.87 delete :: Eq a => a -> [a] -> [a]; 15.26/5.87 delete = deleteBy (==); 15.26/5.87 15.26/5.87 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 15.26/5.87 deleteBy _ _ [] = []; 15.26/5.87 deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; 15.26/5.87 15.26/5.87 } 15.26/5.87 module Main where { 15.26/5.87 import qualified List; 15.26/5.87 import qualified Maybe; 15.26/5.87 import qualified Prelude; 15.26/5.87 } 15.26/5.87 15.26/5.87 ---------------------------------------- 15.26/5.87 15.26/5.87 (1) IFR (EQUIVALENT) 15.26/5.87 If Reductions: 15.26/5.87 The following If expression 15.26/5.87 "if eq x y then ys else y : deleteBy eq x ys" 15.26/5.87 is transformed to 15.26/5.87 "deleteBy0 ys y eq x True = ys; 15.26/5.87 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 15.26/5.87 " 15.26/5.87 15.26/5.87 ---------------------------------------- 15.26/5.87 15.26/5.87 (2) 15.26/5.87 Obligation: 15.26/5.87 mainModule Main 15.26/5.87 module Maybe where { 15.26/5.87 import qualified List; 15.26/5.87 import qualified Main; 15.26/5.87 import qualified Prelude; 15.26/5.87 } 15.26/5.87 module List where { 15.26/5.87 import qualified Main; 15.26/5.87 import qualified Maybe; 15.26/5.87 import qualified Prelude; 15.26/5.87 delete :: Eq a => a -> [a] -> [a]; 15.26/5.87 delete = deleteBy (==); 15.26/5.87 15.26/5.87 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 15.26/5.87 deleteBy _ _ [] = []; 15.26/5.87 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 15.26/5.87 15.26/5.87 deleteBy0 ys y eq x True = ys;
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