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Haskell pair #487599540
details
property
value
status
complete
benchmark
Monad_ap_3.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.63824892044 seconds
cpu usage
11.368740027
max memory
6.21498368E8
stage attributes
key
value
output-size
6925
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 0 ms] (6) HASKELL (7) Narrow [EQUIVALENT, 19 ms] (8) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified Main; import qualified Monad; import qualified Prelude; } module Main where { import qualified Maybe; import qualified Monad; import qualified Prelude; } module Monad where { import qualified Main; import qualified Maybe; import qualified Prelude; ap :: Monad b => b (a -> c) -> b a -> b c; ap = liftM2 id; liftM2 :: Monad c => (d -> a -> b) -> c d -> c a -> c b; liftM2 f m1 m2 = m1 >>= (\x1 ->m2 >>= (\x2 ->return (f x1 x2))); } ---------------------------------------- (1) LR (EQUIVALENT) Lambda Reductions: The following Lambda expression "\x2->return (f x1 x2)" is transformed to "liftM20 f x1 x2 = return (f x1 x2); " The following Lambda expression "\x1->m2 >>= liftM20 f x1" is transformed to "liftM21 m2 f x1 = m2 >>= liftM20 f x1; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified Main; import qualified Monad; import qualified Prelude; } module Main where { import qualified Maybe; import qualified Monad; import qualified Prelude; } module Monad where { import qualified Main; import qualified Maybe; import qualified Prelude; ap :: Monad c => c (a -> b) -> c a -> c b; ap = liftM2 id; liftM2 :: Monad b => (c -> a -> d) -> b c -> b a -> b d; liftM2 f m1 m2 = m1 >>= liftM21 m2 f; liftM20 f x1 x2 = return (f x1 x2); liftM21 m2 f x1 = m2 >>= liftM20 f x1; } ---------------------------------------- (3) BR (EQUIVALENT)
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