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Haskell 2019-04-01 06.52 pair #433315978
details
property
value
status
complete
benchmark
Monad_msum_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.47486 seconds
cpu usage
11.0634
user time
10.6931
system time
0.37035
max virtual memory
1.828352E7
max residence set size
656128.0
stage attributes
key
value
starexec-result
YES
output
9.00/3.89 YES 10.93/4.38 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.93/4.38 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.93/4.38 10.93/4.38 10.93/4.38 H-Termination with start terms of the given HASKELL could be proven: 10.93/4.38 10.93/4.38 (0) HASKELL 10.93/4.38 (1) BR [EQUIVALENT, 0 ms] 10.93/4.38 (2) HASKELL 10.93/4.38 (3) COR [EQUIVALENT, 0 ms] 10.93/4.38 (4) HASKELL 10.93/4.38 (5) Narrow [SOUND, 0 ms] 10.93/4.38 (6) AND 10.93/4.38 (7) QDP 10.93/4.38 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.38 (9) YES 10.93/4.38 (10) QDP 10.93/4.38 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.93/4.38 (12) YES 10.93/4.38 10.93/4.38 10.93/4.38 ---------------------------------------- 10.93/4.38 10.93/4.38 (0) 10.93/4.38 Obligation: 10.93/4.38 mainModule Main 10.93/4.38 module Maybe where { 10.93/4.38 import qualified Main; 10.93/4.38 import qualified Monad; 10.93/4.38 import qualified Prelude; 10.93/4.38 } 10.93/4.38 module Main where { 10.93/4.38 import qualified Maybe; 10.93/4.38 import qualified Monad; 10.93/4.38 import qualified Prelude; 10.93/4.38 } 10.93/4.38 module Monad where { 10.93/4.38 import qualified Main; 10.93/4.38 import qualified Maybe; 10.93/4.38 import qualified Prelude; 10.93/4.38 class Monad a => MonadPlus a where { 10.93/4.38 mplus :: MonadPlus a => a b -> a b -> a b; 10.93/4.38 mzero :: MonadPlus a => a b; 10.93/4.38 } 10.93/4.38 instance MonadPlus Maybe where { 10.93/4.38 } 10.93/4.38 instance MonadPlus [] where { 10.93/4.38 mplus = (++); 10.93/4.38 mzero = []; 10.93/4.38 } 10.93/4.38 msum :: MonadPlus a => [a b] -> a b; 10.93/4.38 msum = foldr mplus mzero; 10.93/4.38 10.93/4.38 } 10.93/4.38 10.93/4.38 ---------------------------------------- 10.93/4.38 10.93/4.38 (1) BR (EQUIVALENT) 10.93/4.38 Replaced joker patterns by fresh variables and removed binding patterns. 10.93/4.38 ---------------------------------------- 10.93/4.38 10.93/4.38 (2) 10.93/4.38 Obligation: 10.93/4.38 mainModule Main 10.93/4.38 module Maybe where { 10.93/4.38 import qualified Main; 10.93/4.38 import qualified Monad; 10.93/4.38 import qualified Prelude; 10.93/4.38 } 10.93/4.38 module Main where { 10.93/4.38 import qualified Maybe; 10.93/4.38 import qualified Monad; 10.93/4.38 import qualified Prelude; 10.93/4.38 } 10.93/4.38 module Monad where { 10.93/4.38 import qualified Main; 10.93/4.38 import qualified Maybe; 10.93/4.38 import qualified Prelude; 10.93/4.38 class Monad a => MonadPlus a where { 10.93/4.38 mplus :: MonadPlus a => a b -> a b -> a b; 10.93/4.38 mzero :: MonadPlus a => a b; 10.93/4.38 } 10.93/4.38 instance MonadPlus Maybe where { 10.93/4.38 } 10.93/4.38 instance MonadPlus [] where { 10.93/4.38 mplus = (++); 10.93/4.38 mzero = []; 10.93/4.38 } 10.93/4.38 msum :: MonadPlus b => [b a] -> b a; 10.93/4.38 msum = foldr mplus mzero; 10.93/4.38 10.93/4.38 } 10.93/4.38 10.93/4.38 ---------------------------------------- 10.93/4.38 10.93/4.38 (3) COR (EQUIVALENT) 10.93/4.38 Cond Reductions: 10.93/4.38 The following Function with conditions 10.93/4.38 "undefined |Falseundefined;
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