details

property	value
status	complete
benchmark	FiniteMap_foldFM_LE_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n046.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.01994 seconds
cpu usage	12.1617
user time	11.8075
system time	0.354151
max virtual memory	1.8285568E7
max residence set size	699728.0

stage attributes

key	value
starexec-result	YES

output

9.84/4.43 YES 12.06/4.98 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 12.06/4.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.06/4.98 12.06/4.98 12.06/4.98 H-Termination with start terms of the given HASKELL could be proven: 12.06/4.98 12.06/4.98 (0) HASKELL 12.06/4.98 (1) BR [EQUIVALENT, 0 ms] 12.06/4.98 (2) HASKELL 12.06/4.98 (3) COR [EQUIVALENT, 0 ms] 12.06/4.98 (4) HASKELL 12.06/4.98 (5) Narrow [SOUND, 0 ms] 12.06/4.98 (6) QDP 12.06/4.98 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.06/4.98 (8) YES 12.06/4.98 12.06/4.98 12.06/4.98 ---------------------------------------- 12.06/4.98 12.06/4.98 (0) 12.06/4.98 Obligation: 12.06/4.98 mainModule Main 12.06/4.98 module FiniteMap where { 12.06/4.98 import qualified Main; 12.06/4.98 import qualified Maybe; 12.06/4.98 import qualified Prelude; 12.06/4.98 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 12.06/4.98 12.06/4.98 instance (Eq a, Eq b) => Eq FiniteMap b a where { 12.06/4.98 } 12.06/4.98 foldFM_LE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b; 12.06/4.98 foldFM_LE k z fr EmptyFM = z; 12.06/4.98 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 12.06/4.98 | otherwise = foldFM_LE k z fr fm_l; 12.06/4.98 12.06/4.98 } 12.06/4.98 module Maybe where { 12.06/4.98 import qualified FiniteMap; 12.06/4.98 import qualified Main; 12.06/4.98 import qualified Prelude; 12.06/4.98 } 12.06/4.98 module Main where { 12.06/4.98 import qualified FiniteMap; 12.06/4.98 import qualified Maybe; 12.06/4.98 import qualified Prelude; 12.06/4.98 } 12.06/4.98 12.06/4.98 ---------------------------------------- 12.06/4.98 12.06/4.98 (1) BR (EQUIVALENT) 12.06/4.98 Replaced joker patterns by fresh variables and removed binding patterns. 12.06/4.98 ---------------------------------------- 12.06/4.98 12.06/4.98 (2) 12.06/4.98 Obligation: 12.06/4.98 mainModule Main 12.06/4.98 module FiniteMap where { 12.06/4.98 import qualified Main; 12.06/4.98 import qualified Maybe; 12.06/4.98 import qualified Prelude; 12.06/4.98 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 12.06/4.98 12.06/4.98 instance (Eq a, Eq b) => Eq FiniteMap b a where { 12.06/4.98 } 12.06/4.98 foldFM_LE :: Ord c => (c -> a -> b -> b) -> b -> c -> FiniteMap c a -> b; 12.06/4.98 foldFM_LE k z fr EmptyFM = z; 12.06/4.98 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 12.06/4.98 | otherwise = foldFM_LE k z fr fm_l; 12.06/4.98 12.06/4.98 } 12.06/4.98 module Maybe where { 12.06/4.98 import qualified FiniteMap; 12.06/4.98 import qualified Main; 12.06/4.98 import qualified Prelude; 12.06/4.98 } 12.06/4.98 module Main where { 12.06/4.98 import qualified FiniteMap; 12.06/4.98 import qualified Maybe; 12.06/4.98 import qualified Prelude; 12.06/4.98 } 12.06/4.98 12.06/4.98 ---------------------------------------- 12.06/4.98 12.06/4.98 (3) COR (EQUIVALENT) 12.06/4.98 Cond Reductions: 12.06/4.98 The following Function with conditions 12.06/4.98 "undefined |Falseundefined; 12.06/4.98 " 12.06/4.98 is transformed to 12.06/4.98 "undefined = undefined1; 12.06/4.98 " 12.06/4.98 "undefined0 True = undefined; 12.06/4.98 " 12.06/4.98 "undefined1 = undefined0 False; 12.06/4.98 " 12.06/4.98 The following Function with conditions 12.06/4.98 "foldFM_LE k z fr EmptyFM = z; 12.06/4.98 foldFM_LE k z fr (Branch key elt vy fm_l fm_r)|key <= frfoldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r|otherwisefoldFM_LE k z fr fm_l; 12.06/4.98 " popout

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actions

all output return to Haskell 2019-04-01 06.52