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Haskell 2019-04-01 06.52 pair #433315989
details
property
value
status
complete
benchmark
Monad_ap_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.5144 seconds
cpu usage
11.4028
user time
11.0321
system time
0.37067
max virtual memory
1.828352E7
max residence set size
667452.0
stage attributes
key
value
starexec-result
YES
output
8.79/3.85 YES 11.33/4.46 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 11.33/4.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.33/4.46 11.33/4.46 11.33/4.46 H-Termination with start terms of the given HASKELL could be proven: 11.33/4.46 11.33/4.46 (0) HASKELL 11.33/4.46 (1) LR [EQUIVALENT, 0 ms] 11.33/4.46 (2) HASKELL 11.33/4.46 (3) BR [EQUIVALENT, 0 ms] 11.33/4.46 (4) HASKELL 11.33/4.46 (5) COR [EQUIVALENT, 0 ms] 11.33/4.46 (6) HASKELL 11.33/4.46 (7) Narrow [EQUIVALENT, 19 ms] 11.33/4.46 (8) YES 11.33/4.46 11.33/4.46 11.33/4.46 ---------------------------------------- 11.33/4.46 11.33/4.46 (0) 11.33/4.46 Obligation: 11.33/4.46 mainModule Main 11.33/4.46 module Maybe where { 11.33/4.46 import qualified Main; 11.33/4.46 import qualified Monad; 11.33/4.46 import qualified Prelude; 11.33/4.46 } 11.33/4.46 module Main where { 11.33/4.46 import qualified Maybe; 11.33/4.46 import qualified Monad; 11.33/4.46 import qualified Prelude; 11.33/4.46 } 11.33/4.46 module Monad where { 11.33/4.46 import qualified Main; 11.33/4.46 import qualified Maybe; 11.33/4.46 import qualified Prelude; 11.33/4.46 ap :: Monad a => a (b -> c) -> a b -> a c; 11.33/4.46 ap = liftM2 id; 11.33/4.46 11.33/4.46 liftM2 :: Monad d => (a -> c -> b) -> d a -> d c -> d b; 11.33/4.46 liftM2 f m1 m2 = m1 >>= (\x1 ->m2 >>= (\x2 ->return (f x1 x2))); 11.33/4.46 11.33/4.46 } 11.33/4.46 11.33/4.46 ---------------------------------------- 11.33/4.46 11.33/4.46 (1) LR (EQUIVALENT) 11.33/4.46 Lambda Reductions: 11.33/4.46 The following Lambda expression 11.33/4.46 "\x2->return (f x1 x2)" 11.33/4.46 is transformed to 11.33/4.46 "liftM20 f x1 x2 = return (f x1 x2); 11.33/4.46 " 11.33/4.46 The following Lambda expression 11.33/4.46 "\x1->m2 >>= liftM20 f x1" 11.33/4.46 is transformed to 11.33/4.46 "liftM21 m2 f x1 = m2 >>= liftM20 f x1; 11.33/4.46 " 11.33/4.46 11.33/4.46 ---------------------------------------- 11.33/4.46 11.33/4.46 (2) 11.33/4.46 Obligation: 11.33/4.46 mainModule Main 11.33/4.46 module Maybe where { 11.33/4.46 import qualified Main; 11.33/4.46 import qualified Monad; 11.33/4.46 import qualified Prelude; 11.33/4.46 } 11.33/4.46 module Main where { 11.33/4.46 import qualified Maybe; 11.33/4.46 import qualified Monad; 11.33/4.46 import qualified Prelude; 11.33/4.46 } 11.33/4.46 module Monad where { 11.33/4.46 import qualified Main; 11.33/4.46 import qualified Maybe; 11.33/4.46 import qualified Prelude; 11.33/4.46 ap :: Monad b => b (c -> a) -> b c -> b a; 11.33/4.46 ap = liftM2 id; 11.33/4.46 11.33/4.46 liftM2 :: Monad a => (c -> d -> b) -> a c -> a d -> a b; 11.33/4.46 liftM2 f m1 m2 = m1 >>= liftM21 m2 f; 11.33/4.46 11.33/4.46 liftM20 f x1 x2 = return (f x1 x2); 11.33/4.46 11.33/4.46 liftM21 m2 f x1 = m2 >>= liftM20 f x1; 11.33/4.46 11.33/4.46 } 11.33/4.46 11.33/4.46 ---------------------------------------- 11.33/4.46 11.33/4.46 (3) BR (EQUIVALENT) 11.33/4.46 Replaced joker patterns by fresh variables and removed binding patterns. 11.33/4.46 ---------------------------------------- 11.33/4.46 11.33/4.46 (4) 11.33/4.46 Obligation: 11.33/4.46 mainModule Main
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