details

property	value
status	complete
benchmark	FiniteMap_foldFM_GE_10.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n127.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.76893 seconds
cpu usage	25.0411
user time	23.9493
system time	1.09177
max virtual memory	1.8285568E7
max residence set size	3326188.0

stage attributes

key	value
starexec-result	YES

output

21.35/8.79 YES 24.74/9.66 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 24.74/9.66 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.74/9.66 24.74/9.66 24.74/9.66 H-Termination with start terms of the given HASKELL could be proven: 24.74/9.66 24.74/9.66 (0) HASKELL 24.74/9.66 (1) LR [EQUIVALENT, 0 ms] 24.74/9.66 (2) HASKELL 24.74/9.66 (3) CR [EQUIVALENT, 0 ms] 24.74/9.66 (4) HASKELL 24.74/9.66 (5) IFR [EQUIVALENT, 0 ms] 24.74/9.66 (6) HASKELL 24.74/9.66 (7) BR [EQUIVALENT, 0 ms] 24.74/9.66 (8) HASKELL 24.74/9.66 (9) COR [EQUIVALENT, 0 ms] 24.74/9.66 (10) HASKELL 24.74/9.66 (11) LetRed [EQUIVALENT, 0 ms] 24.74/9.66 (12) HASKELL 24.74/9.66 (13) NumRed [SOUND, 0 ms] 24.74/9.66 (14) HASKELL 24.74/9.66 (15) Narrow [SOUND, 0 ms] 24.74/9.66 (16) AND 24.74/9.66 (17) QDP 24.74/9.66 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (19) YES 24.74/9.66 (20) QDP 24.74/9.66 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (22) YES 24.74/9.66 (23) QDP 24.74/9.66 (24) DependencyGraphProof [EQUIVALENT, 0 ms] 24.74/9.66 (25) AND 24.74/9.66 (26) QDP 24.74/9.66 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (28) YES 24.74/9.66 (29) QDP 24.74/9.66 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (31) YES 24.74/9.66 (32) QDP 24.74/9.66 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (34) YES 24.74/9.66 (35) QDP 24.74/9.66 (36) QDPSizeChangeProof [EQUIVALENT, 15 ms] 24.74/9.66 (37) YES 24.74/9.66 (38) QDP 24.74/9.66 (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (40) YES 24.74/9.66 (41) QDP 24.74/9.66 (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.74/9.66 (43) YES 24.74/9.66 24.74/9.66 24.74/9.66 ---------------------------------------- 24.74/9.66 24.74/9.66 (0) 24.74/9.66 Obligation: 24.74/9.66 mainModule Main 24.74/9.66 module FiniteMap where { 24.74/9.66 import qualified Main; 24.74/9.66 import qualified Maybe; 24.74/9.66 import qualified Prelude; 24.74/9.66 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 24.74/9.66 24.74/9.66 instance (Eq a, Eq b) => Eq FiniteMap b a where { 24.74/9.66 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 24.74/9.66 } 24.74/9.66 fmToList :: FiniteMap a b -> [(a,b)]; 24.74/9.66 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 24.74/9.66 24.74/9.66 foldFM :: (a -> c -> b -> b) -> b -> FiniteMap a c -> b; 24.74/9.66 foldFM k z EmptyFM = z; 24.74/9.66 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 24.74/9.66 24.74/9.66 foldFM_GE :: Ord c => (c -> a -> b -> b) -> b -> c -> FiniteMap c a -> b; 24.74/9.66 foldFM_GE k z fr EmptyFM = z; 24.74/9.66 foldFM_GE k z fr (Branch key elt _ fm_l fm_r) | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l 24.74/9.66 | otherwise = foldFM_GE k z fr fm_r; 24.74/9.66 24.74/9.66 sizeFM :: FiniteMap b a -> Int; 24.74/9.66 sizeFM EmptyFM = 0; 24.74/9.66 sizeFM (Branch _ _ size _ _) = size; 24.74/9.66 24.74/9.66 } 24.74/9.66 module Maybe where { 24.74/9.66 import qualified FiniteMap; 24.74/9.66 import qualified Main; 24.74/9.66 import qualified Prelude; 24.74/9.66 } 24.74/9.66 module Main where { 24.74/9.66 import qualified FiniteMap; 24.74/9.66 import qualified Maybe; 24.74/9.66 import qualified Prelude; 24.74/9.66 } 24.74/9.66 24.74/9.66 ---------------------------------------- 24.74/9.66 24.74/9.66 (1) LR (EQUIVALENT) 24.74/9.66 Lambda Reductions: 24.74/9.66 The following Lambda expression 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