details

property	value
status	complete
benchmark	minimum_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n107.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.13911 seconds
cpu usage	9.72809
user time	9.38689
system time	0.341206
max virtual memory	1.8288464E7
max residence set size	611052.0

stage attributes

key	value
starexec-result	YES

output

7.72/3.52 YES 9.43/4.04 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.43/4.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.43/4.04 9.43/4.04 9.43/4.04 H-Termination with start terms of the given HASKELL could be proven: 9.43/4.04 9.43/4.04 (0) HASKELL 9.43/4.04 (1) BR [EQUIVALENT, 0 ms] 9.43/4.04 (2) HASKELL 9.43/4.04 (3) COR [EQUIVALENT, 0 ms] 9.43/4.04 (4) HASKELL 9.43/4.04 (5) Narrow [SOUND, 0 ms] 9.43/4.04 (6) QDP 9.43/4.04 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.43/4.04 (8) YES 9.43/4.04 9.43/4.04 9.43/4.04 ---------------------------------------- 9.43/4.04 9.43/4.04 (0) 9.43/4.04 Obligation: 9.43/4.04 mainModule Main 9.43/4.04 module Main where { 9.43/4.04 import qualified Prelude; 9.43/4.04 data List a = Cons a (List a) | Nil ; 9.43/4.04 9.43/4.04 data MyBool = MyTrue | MyFalse ; 9.43/4.04 9.43/4.04 foldl :: (b -> a -> b) -> b -> List a -> b; 9.43/4.04 foldl f z Nil = z; 9.43/4.04 foldl f z (Cons x xs) = foldl f (f z x) xs; 9.43/4.04 9.43/4.04 foldl1 :: (a -> a -> a) -> List a -> a; 9.43/4.04 foldl1 f (Cons x xs) = foldl f x xs; 9.43/4.04 9.43/4.04 ltEsMyBool :: MyBool -> MyBool -> MyBool; 9.43/4.04 ltEsMyBool MyFalse MyFalse = MyTrue; 9.43/4.04 ltEsMyBool MyFalse MyTrue = MyTrue; 9.43/4.04 ltEsMyBool MyTrue MyFalse = MyFalse; 9.43/4.04 ltEsMyBool MyTrue MyTrue = MyTrue; 9.43/4.04 9.43/4.04 min0 x y MyTrue = y; 9.43/4.04 9.43/4.04 min1 x y MyTrue = x; 9.43/4.04 min1 x y MyFalse = min0 x y otherwise; 9.43/4.04 9.43/4.04 min2 x y = min1 x y (ltEsMyBool x y); 9.43/4.04 9.43/4.04 minMyBool :: MyBool -> MyBool -> MyBool; 9.43/4.04 minMyBool x y = min2 x y; 9.43/4.04 9.43/4.04 minimumMyBool :: List MyBool -> MyBool; 9.43/4.04 minimumMyBool = foldl1 minMyBool; 9.43/4.04 9.43/4.04 otherwise :: MyBool; 9.43/4.04 otherwise = MyTrue; 9.43/4.04 9.43/4.04 } 9.43/4.04 9.43/4.04 ---------------------------------------- 9.43/4.04 9.43/4.04 (1) BR (EQUIVALENT) 9.43/4.04 Replaced joker patterns by fresh variables and removed binding patterns. 9.43/4.04 ---------------------------------------- 9.43/4.04 9.43/4.04 (2) 9.43/4.04 Obligation: 9.43/4.04 mainModule Main 9.43/4.04 module Main where { 9.43/4.04 import qualified Prelude; 9.43/4.04 data List a = Cons a (List a) | Nil ; 9.43/4.04 9.43/4.04 data MyBool = MyTrue | MyFalse ; 9.43/4.04 9.43/4.04 foldl :: (a -> b -> a) -> a -> List b -> a; 9.43/4.04 foldl f z Nil = z; 9.43/4.04 foldl f z (Cons x xs) = foldl f (f z x) xs; 9.43/4.04 9.43/4.04 foldl1 :: (a -> a -> a) -> List a -> a; 9.43/4.04 foldl1 f (Cons x xs) = foldl f x xs; 9.43/4.04 9.43/4.04 ltEsMyBool :: MyBool -> MyBool -> MyBool; 9.43/4.04 ltEsMyBool MyFalse MyFalse = MyTrue; 9.43/4.04 ltEsMyBool MyFalse MyTrue = MyTrue; 9.43/4.04 ltEsMyBool MyTrue MyFalse = MyFalse; 9.43/4.04 ltEsMyBool MyTrue MyTrue = MyTrue; 9.43/4.04 9.43/4.04 min0 x y MyTrue = y; 9.43/4.04 9.43/4.04 min1 x y MyTrue = x; 9.43/4.04 min1 x y MyFalse = min0 x y otherwise; 9.43/4.04 9.43/4.04 min2 x y = min1 x y (ltEsMyBool x y); 9.43/4.04 9.43/4.04 minMyBool :: MyBool -> MyBool -> MyBool; 9.43/4.04 minMyBool x y = min2 x y; 9.43/4.04 9.43/4.04 minimumMyBool :: List MyBool -> MyBool; 9.43/4.04 minimumMyBool = foldl1 minMyBool; popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Haskell 2019-04-01 06.52