details

property	value
status	complete
benchmark	FiniteMap_foldFM_GE_12.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n016.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.658 seconds
cpu usage	26.3426
user time	25.1066
system time	1.23603
max virtual memory	1.8285568E7
max residence set size	3892700.0

stage attributes

key	value
starexec-result	YES

output

22.74/9.68 YES 26.01/10.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 26.01/10.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.01/10.57 26.01/10.57 26.01/10.57 H-Termination with start terms of the given HASKELL could be proven: 26.01/10.57 26.01/10.57 (0) HASKELL 26.01/10.57 (1) LR [EQUIVALENT, 0 ms] 26.01/10.57 (2) HASKELL 26.01/10.57 (3) CR [EQUIVALENT, 0 ms] 26.01/10.57 (4) HASKELL 26.01/10.57 (5) IFR [EQUIVALENT, 0 ms] 26.01/10.57 (6) HASKELL 26.01/10.57 (7) BR [EQUIVALENT, 0 ms] 26.01/10.57 (8) HASKELL 26.01/10.57 (9) COR [EQUIVALENT, 4 ms] 26.01/10.57 (10) HASKELL 26.01/10.57 (11) LetRed [EQUIVALENT, 0 ms] 26.01/10.57 (12) HASKELL 26.01/10.57 (13) NumRed [SOUND, 10 ms] 26.01/10.57 (14) HASKELL 26.01/10.57 (15) Narrow [SOUND, 0 ms] 26.01/10.57 (16) AND 26.01/10.57 (17) QDP 26.01/10.57 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (19) YES 26.01/10.57 (20) QDP 26.01/10.57 (21) QDPSizeChangeProof [EQUIVALENT, 15 ms] 26.01/10.57 (22) YES 26.01/10.57 (23) QDP 26.01/10.57 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (25) YES 26.01/10.57 (26) QDP 26.01/10.57 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (28) YES 26.01/10.57 (29) QDP 26.01/10.57 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (31) YES 26.01/10.57 (32) QDP 26.01/10.57 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (34) YES 26.01/10.57 (35) QDP 26.01/10.57 (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.01/10.57 (37) YES 26.01/10.57 26.01/10.57 26.01/10.57 ---------------------------------------- 26.01/10.57 26.01/10.57 (0) 26.01/10.57 Obligation: 26.01/10.57 mainModule Main 26.01/10.57 module FiniteMap where { 26.01/10.57 import qualified Main; 26.01/10.57 import qualified Maybe; 26.01/10.57 import qualified Prelude; 26.01/10.57 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 26.01/10.57 26.01/10.57 instance (Eq a, Eq b) => Eq FiniteMap a b where { 26.01/10.57 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 26.01/10.57 } 26.01/10.57 fmToList :: FiniteMap b a -> [(b,a)]; 26.01/10.57 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 26.01/10.57 26.01/10.57 foldFM :: (c -> a -> b -> b) -> b -> FiniteMap c a -> b; 26.01/10.57 foldFM k z EmptyFM = z; 26.01/10.57 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 26.01/10.57 26.01/10.57 foldFM_GE :: Ord c => (c -> a -> b -> b) -> b -> c -> FiniteMap c a -> b; 26.01/10.57 foldFM_GE k z fr EmptyFM = z; 26.01/10.57 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 26.01/10.57 | otherwise = foldFM_GE k z fr fm_r; 26.01/10.57 26.01/10.57 sizeFM :: FiniteMap a b -> Int; 26.01/10.57 sizeFM EmptyFM = 0; 26.01/10.57 sizeFM (Branch _ _ size _ _) = size; 26.01/10.57 26.01/10.57 } 26.01/10.57 module Maybe where { 26.01/10.57 import qualified FiniteMap; 26.01/10.57 import qualified Main; 26.01/10.57 import qualified Prelude; 26.01/10.57 } 26.01/10.57 module Main where { 26.01/10.57 import qualified FiniteMap; 26.01/10.57 import qualified Maybe; 26.01/10.57 import qualified Prelude; 26.01/10.57 } 26.01/10.57 26.01/10.57 ---------------------------------------- 26.01/10.57 26.01/10.57 (1) LR (EQUIVALENT) 26.01/10.57 Lambda Reductions: 26.01/10.57 The following Lambda expression 26.01/10.57 "\keyeltrest->(key,elt) : rest" 26.01/10.57 is transformed to 26.01/10.57 "fmToList0 key elt rest = (key,elt) : rest; 26.01/10.57 " 26.01/10.57 26.01/10.57 ---------------------------------------- popout

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actions

all output return to Haskell 2019-04-01 06.52