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Haskell pair #487598785
details
property
value
status
complete
benchmark
Monad_liftM5_4.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n110.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.73197579384 seconds
cpu usage
11.425357339
max memory
6.25737728E8
stage attributes
key
value
output-size
17875
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4)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, 2 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; liftM5 :: Monad d => (c -> b -> a -> g -> e -> f) -> d c -> d b -> d a -> d g -> d e -> d f; liftM5 f m1 m2 m3 m4 m5 = m1 >>= (\x1 ->m2 >>= (\x2 ->m3 >>= (\x3 ->m4 >>= (\x4 ->m5 >>= (\x5 ->return (f x1 x2 x3 x4 x5)))))); } ---------------------------------------- (1) LR (EQUIVALENT) Lambda Reductions: The following Lambda expression "\x5->return (f x1 x2 x3 x4 x5)" is transformed to "liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5); " The following Lambda expression "\x4->m5 >>= liftM50 f x1 x2 x3 x4" is transformed to "liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4; " The following Lambda expression "\x3->m4 >>= liftM51 m5 f x1 x2 x3" is transformed to "liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3; " The following Lambda expression "\x2->m3 >>= liftM52 m4 m5 f x1 x2" is transformed to "liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2; " The following Lambda expression "\x1->m2 >>= liftM53 m3 m4 m5 f x1" is transformed to "liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 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; liftM5 :: Monad a => (g -> c -> b -> e -> d -> f) -> a g -> a c -> a b -> a e -> a d -> a f; liftM5 f m1 m2 m3 m4 m5 = m1 >>= liftM54 m2 m3 m4 m5 f;
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