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Haskell 2019-04-01 06.52 pair #433316053
details
property
value
status
complete
benchmark
FiniteMap_keysFM_GE_5.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.0479 seconds
cpu usage
15.7113
user time
15.2562
system time
0.455082
max virtual memory
1.8285568E7
max residence set size
976412.0
stage attributes
key
value
starexec-result
YES
output
13.27/5.47 YES 15.55/6.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 15.55/6.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.55/6.07 15.55/6.07 15.55/6.07 H-Termination with start terms of the given HASKELL could be proven: 15.55/6.07 15.55/6.07 (0) HASKELL 15.55/6.07 (1) LR [EQUIVALENT, 0 ms] 15.55/6.07 (2) HASKELL 15.55/6.07 (3) BR [EQUIVALENT, 0 ms] 15.55/6.07 (4) HASKELL 15.55/6.07 (5) COR [EQUIVALENT, 0 ms] 15.55/6.07 (6) HASKELL 15.55/6.07 (7) Narrow [SOUND, 0 ms] 15.55/6.07 (8) AND 15.55/6.07 (9) QDP 15.55/6.07 (10) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (11) QDP 15.55/6.07 (12) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (13) QDP 15.55/6.07 (14) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (15) QDP 15.55/6.07 (16) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (17) QDP 15.55/6.07 (18) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (19) QDP 15.55/6.07 (20) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (21) QDP 15.55/6.07 (22) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (23) QDP 15.55/6.07 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.55/6.07 (25) YES 15.55/6.07 (26) QDP 15.55/6.07 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 15.55/6.07 (28) AND 15.55/6.07 (29) QDP 15.55/6.07 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.55/6.07 (31) YES 15.55/6.07 (32) QDP 15.55/6.07 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.55/6.07 (34) YES 15.55/6.07 (35) QDP 15.55/6.07 (36) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (37) QDP 15.55/6.07 (38) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (39) QDP 15.55/6.07 (40) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (41) QDP 15.55/6.07 (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.55/6.07 (43) YES 15.55/6.07 (44) QDP 15.55/6.07 (45) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (46) QDP 15.55/6.07 (47) TransformationProof [EQUIVALENT, 0 ms] 15.55/6.07 (48) QDP 15.55/6.07 (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.55/6.07 (50) YES 15.55/6.07 15.55/6.07 15.55/6.07 ---------------------------------------- 15.55/6.07 15.55/6.07 (0) 15.55/6.07 Obligation: 15.55/6.07 mainModule Main 15.55/6.07 module FiniteMap where { 15.55/6.07 import qualified Main; 15.55/6.07 import qualified Maybe; 15.55/6.07 import qualified Prelude; 15.55/6.07 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 15.55/6.07 15.55/6.07 instance (Eq a, Eq b) => Eq FiniteMap a b where { 15.55/6.07 } 15.55/6.07 foldFM_GE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c; 15.55/6.07 foldFM_GE k z fr EmptyFM = z; 15.55/6.07 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 15.55/6.07 | otherwise = foldFM_GE k z fr fm_r; 15.55/6.07 15.55/6.07 keysFM_GE :: Ord a => FiniteMap a b -> a -> [a]; 15.55/6.07 keysFM_GE fm fr = foldFM_GE (\key elt rest ->key : rest) [] fr fm; 15.55/6.07 15.55/6.07 } 15.55/6.07 module Maybe where { 15.55/6.07 import qualified FiniteMap; 15.55/6.07 import qualified Main; 15.55/6.07 import qualified Prelude; 15.55/6.07 } 15.55/6.07 module Main where { 15.55/6.07 import qualified FiniteMap; 15.55/6.07 import qualified Maybe; 15.55/6.07 import qualified Prelude; 15.55/6.07 } 15.55/6.07 15.55/6.07 ---------------------------------------- 15.55/6.07 15.55/6.07 (1) LR (EQUIVALENT) 15.55/6.07 Lambda Reductions: 15.55/6.07 The following Lambda expression 15.55/6.07 "\keyeltrest->key : rest" 15.55/6.07 is transformed to
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