details

property	value
status	complete
benchmark	List_insert_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n069.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.11989 seconds
cpu usage	13.1494
user time	12.7831
system time	0.366257
max virtual memory	1.8285568E7
max residence set size	674992.0

stage attributes

key	value
starexec-result	YES

output

10.60/4.48 YES 12.84/5.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 12.84/5.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.84/5.07 12.84/5.07 12.84/5.07 H-Termination with start terms of the given HASKELL could be proven: 12.84/5.07 12.84/5.07 (0) HASKELL 12.84/5.07 (1) CR [EQUIVALENT, 0 ms] 12.84/5.07 (2) HASKELL 12.84/5.07 (3) BR [EQUIVALENT, 0 ms] 12.84/5.07 (4) HASKELL 12.84/5.07 (5) COR [EQUIVALENT, 21 ms] 12.84/5.07 (6) HASKELL 12.84/5.07 (7) Narrow [SOUND, 0 ms] 12.84/5.07 (8) QDP 12.84/5.07 (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.84/5.07 (10) YES 12.84/5.07 12.84/5.07 12.84/5.07 ---------------------------------------- 12.84/5.07 12.84/5.07 (0) 12.84/5.07 Obligation: 12.84/5.07 mainModule Main 12.84/5.07 module Maybe where { 12.84/5.07 import qualified List; 12.84/5.07 import qualified Main; 12.84/5.07 import qualified Prelude; 12.84/5.07 } 12.84/5.07 module List where { 12.84/5.07 import qualified Main; 12.84/5.07 import qualified Maybe; 12.84/5.07 import qualified Prelude; 12.84/5.07 insert :: Ord a => a -> [a] -> [a]; 12.84/5.07 insert e ls = insertBy compare e ls; 12.84/5.07 12.84/5.07 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 12.84/5.07 insertBy _ x [] = x : []; 12.84/5.07 insertBy cmp x ys@(y : ys') = case cmp x y of { 12.84/5.07 GT-> y : insertBy cmp x ys'; 12.84/5.07 _-> x : ys; 12.84/5.07 } ; 12.84/5.07 12.84/5.07 } 12.84/5.07 module Main where { 12.84/5.07 import qualified List; 12.84/5.07 import qualified Maybe; 12.84/5.08 import qualified Prelude; 12.84/5.08 } 12.84/5.08 12.84/5.08 ---------------------------------------- 12.84/5.08 12.84/5.08 (1) CR (EQUIVALENT) 12.84/5.08 Case Reductions: 12.84/5.08 The following Case expression 12.84/5.08 "case cmp x y of { 12.84/5.08 GT -> y : insertBy cmp x ys'; 12.84/5.08 _ -> x : ys} 12.84/5.08 " 12.84/5.08 is transformed to 12.84/5.08 "insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 12.84/5.08 insertBy0 y cmp x ys' ys _ = x : ys; 12.84/5.08 " 12.84/5.08 12.84/5.08 ---------------------------------------- 12.84/5.08 12.84/5.08 (2) 12.84/5.08 Obligation: 12.84/5.08 mainModule Main 12.84/5.08 module Maybe where { 12.84/5.08 import qualified List; 12.84/5.08 import qualified Main; 12.84/5.08 import qualified Prelude; 12.84/5.08 } 12.84/5.08 module List where { 12.84/5.08 import qualified Main; 12.84/5.08 import qualified Maybe; 12.84/5.08 import qualified Prelude; 12.84/5.08 insert :: Ord a => a -> [a] -> [a]; 12.84/5.08 insert e ls = insertBy compare e ls; 12.84/5.08 12.84/5.08 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 12.84/5.08 insertBy _ x [] = x : []; 12.84/5.08 insertBy cmp x ys@(y : ys') = insertBy0 y cmp x ys' ys (cmp x y); 12.84/5.08 12.84/5.08 insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 12.84/5.08 insertBy0 y cmp x ys' ys _ = x : ys; 12.84/5.08 12.84/5.08 } 12.84/5.08 module Main where { 12.84/5.08 import qualified List; 12.84/5.08 import qualified Maybe; 12.84/5.08 import qualified Prelude; 12.84/5.08 } 12.84/5.08 12.84/5.08 ---------------------------------------- 12.84/5.08 12.84/5.08 (3) BR (EQUIVALENT) 12.84/5.08 Replaced joker patterns by fresh variables and removed binding patterns. popout

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job log

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actions

all output return to Haskell 2019-04-01 06.52