details

property	value
status	complete
benchmark	Monad_ap_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n160.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.5197 seconds
cpu usage	11.6337
user time	11.2802
system time	0.353541
max virtual memory	1.8288192E7
max residence set size	618396.0

stage attributes

key	value
starexec-result	YES

output

9.32/4.14 YES 11.27/4.73 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 11.27/4.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.27/4.73 11.27/4.73 11.27/4.73 H-Termination with start terms of the given HASKELL could be proven: 11.27/4.73 11.27/4.73 (0) HASKELL 11.27/4.73 (1) LR [EQUIVALENT, 0 ms] 11.27/4.73 (2) HASKELL 11.27/4.73 (3) BR [EQUIVALENT, 0 ms] 11.27/4.73 (4) HASKELL 11.27/4.73 (5) COR [EQUIVALENT, 0 ms] 11.27/4.73 (6) HASKELL 11.27/4.73 (7) Narrow [SOUND, 0 ms] 11.27/4.73 (8) AND 11.27/4.73 (9) QDP 11.27/4.73 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.27/4.73 (11) YES 11.27/4.73 (12) QDP 11.27/4.73 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.27/4.73 (14) YES 11.27/4.73 (15) QDP 11.27/4.73 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.27/4.73 (17) YES 11.27/4.73 11.27/4.73 11.27/4.73 ---------------------------------------- 11.27/4.73 11.27/4.73 (0) 11.27/4.73 Obligation: 11.27/4.73 mainModule Main 11.27/4.73 module Maybe where { 11.27/4.73 import qualified Main; 11.27/4.73 import qualified Monad; 11.27/4.73 import qualified Prelude; 11.27/4.73 } 11.27/4.73 module Main where { 11.27/4.73 import qualified Maybe; 11.27/4.73 import qualified Monad; 11.27/4.73 import qualified Prelude; 11.27/4.73 } 11.27/4.73 module Monad where { 11.27/4.73 import qualified Main; 11.27/4.73 import qualified Maybe; 11.27/4.73 import qualified Prelude; 11.27/4.73 ap :: Monad b => b (a -> c) -> b a -> b c; 11.27/4.73 ap = liftM2 id; 11.27/4.73 11.27/4.73 liftM2 :: Monad d => (c -> b -> a) -> d c -> d b -> d a; 11.27/4.73 liftM2 f m1 m2 = m1 >>= (\x1 ->m2 >>= (\x2 ->return (f x1 x2))); 11.27/4.73 11.27/4.73 } 11.27/4.73 11.27/4.73 ---------------------------------------- 11.27/4.73 11.27/4.73 (1) LR (EQUIVALENT) 11.27/4.73 Lambda Reductions: 11.27/4.73 The following Lambda expression 11.27/4.73 "\x2->return (f x1 x2)" 11.27/4.73 is transformed to 11.27/4.73 "liftM20 f x1 x2 = return (f x1 x2); 11.27/4.73 " 11.27/4.73 The following Lambda expression 11.27/4.73 "\x1->m2 >>= liftM20 f x1" 11.27/4.73 is transformed to 11.27/4.73 "liftM21 m2 f x1 = m2 >>= liftM20 f x1; 11.27/4.73 " 11.27/4.73 11.27/4.73 ---------------------------------------- 11.27/4.73 11.27/4.73 (2) 11.27/4.73 Obligation: 11.27/4.73 mainModule Main 11.27/4.73 module Maybe where { 11.27/4.73 import qualified Main; 11.27/4.73 import qualified Monad; 11.27/4.73 import qualified Prelude; 11.27/4.73 } 11.27/4.73 module Main where { 11.27/4.73 import qualified Maybe; 11.27/4.73 import qualified Monad; 11.27/4.73 import qualified Prelude; 11.27/4.73 } 11.27/4.73 module Monad where { 11.27/4.73 import qualified Main; 11.27/4.73 import qualified Maybe; 11.27/4.73 import qualified Prelude; 11.27/4.73 ap :: Monad b => b (a -> c) -> b a -> b c; 11.27/4.73 ap = liftM2 id; 11.27/4.73 11.27/4.73 liftM2 :: Monad a => (b -> d -> c) -> a b -> a d -> a c; 11.27/4.73 liftM2 f m1 m2 = m1 >>= liftM21 m2 f; 11.27/4.73 11.27/4.73 liftM20 f x1 x2 = return (f x1 x2); 11.27/4.73 11.27/4.73 liftM21 m2 f x1 = m2 >>= liftM20 f x1; 11.27/4.73 11.27/4.73 } 11.27/4.73 popout

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all output return to Haskell 2019-04-01 06.52