details

property	value
status	complete
benchmark	FiniteMap_foldFM_LE_7.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.2055 seconds
cpu usage	45.3711
user time	43.8683
system time	1.50288
max virtual memory	1.8285568E7
max residence set size	2328344.0

stage attributes

key	value
starexec-result	YES

output

20.72/8.85 YES 22.30/9.38 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 22.30/9.38 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.30/9.38 22.30/9.38 22.30/9.38 H-Termination with start terms of the given HASKELL could be proven: 22.30/9.38 22.30/9.38 (0) HASKELL 22.30/9.38 (1) BR [EQUIVALENT, 0 ms] 22.30/9.38 (2) HASKELL 22.30/9.38 (3) COR [EQUIVALENT, 0 ms] 22.30/9.38 (4) HASKELL 22.30/9.38 (5) Narrow [SOUND, 0 ms] 22.30/9.38 (6) AND 22.30/9.38 (7) QDP 22.30/9.38 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.30/9.38 (9) YES 22.30/9.38 (10) QDP 22.30/9.38 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.30/9.38 (12) YES 22.30/9.38 (13) QDP 22.30/9.38 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.30/9.38 (15) YES 22.30/9.38 (16) QDP 22.30/9.38 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.30/9.38 (18) YES 22.30/9.38 22.30/9.38 22.30/9.38 ---------------------------------------- 22.30/9.38 22.30/9.38 (0) 22.30/9.38 Obligation: 22.30/9.38 mainModule Main 22.30/9.38 module FiniteMap where { 22.30/9.38 import qualified Main; 22.30/9.38 import qualified Maybe; 22.30/9.38 import qualified Prelude; 22.30/9.38 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 22.30/9.38 22.30/9.38 instance (Eq a, Eq b) => Eq FiniteMap b a where { 22.30/9.38 } 22.30/9.38 foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c; 22.30/9.38 foldFM_LE k z fr EmptyFM = z; 22.30/9.38 foldFM_LE k z fr (Branch key elt _ fm_l fm_r) | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r 22.30/9.38 | otherwise = foldFM_LE k z fr fm_l; 22.30/9.38 22.30/9.38 } 22.30/9.38 module Maybe where { 22.30/9.38 import qualified FiniteMap; 22.30/9.38 import qualified Main; 22.30/9.38 import qualified Prelude; 22.30/9.38 } 22.30/9.38 module Main where { 22.30/9.38 import qualified FiniteMap; 22.30/9.38 import qualified Maybe; 22.30/9.38 import qualified Prelude; 22.30/9.38 } 22.30/9.38 22.30/9.38 ---------------------------------------- 22.30/9.38 22.30/9.38 (1) BR (EQUIVALENT) 22.30/9.38 Replaced joker patterns by fresh variables and removed binding patterns. 22.30/9.38 ---------------------------------------- 22.30/9.38 22.30/9.38 (2) 22.30/9.38 Obligation: 22.30/9.38 mainModule Main 22.30/9.38 module FiniteMap where { 22.30/9.38 import qualified Main; 22.30/9.38 import qualified Maybe; 22.30/9.38 import qualified Prelude; 22.30/9.38 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 22.30/9.38 22.30/9.38 instance (Eq a, Eq b) => Eq FiniteMap b a where { 22.30/9.38 } 22.30/9.38 foldFM_LE :: Ord c => (c -> b -> a -> a) -> a -> c -> FiniteMap c b -> a; 22.30/9.38 foldFM_LE k z fr EmptyFM = z; 22.30/9.38 foldFM_LE k z fr (Branch key elt vy fm_l fm_r) | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r 22.30/9.38 | otherwise = foldFM_LE k z fr fm_l; 22.30/9.38 22.30/9.38 } 22.30/9.38 module Maybe where { 22.30/9.38 import qualified FiniteMap; 22.30/9.38 import qualified Main; 22.30/9.38 import qualified Prelude; 22.30/9.38 } 22.30/9.38 module Main where { 22.30/9.38 import qualified FiniteMap; 22.30/9.38 import qualified Maybe; 22.30/9.38 import qualified Prelude; 22.30/9.38 } 22.30/9.38 22.30/9.38 ---------------------------------------- 22.30/9.38 22.30/9.38 (3) COR (EQUIVALENT) 22.30/9.38 Cond Reductions: 22.30/9.38 The following Function with conditions 22.30/9.38 "undefined |Falseundefined; 22.30/9.38 " 22.30/9.38 is transformed to popout

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

job log

popout

actions

all output return to Haskell 2019-04-01 06.52