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Haskell pair #487598415
details
property
value
status
complete
benchmark
elem_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.2097890377 seconds
cpu usage
10.023398952
max memory
5.7237504E8
stage attributes
key
value
output-size
7985
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) QDP (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data MyBool = MyTrue | MyFalse ; data Tup0 = Tup0 ; any :: (a -> MyBool) -> List a -> MyBool; any p = pt or (map p); elemTup0 :: Tup0 -> List Tup0 -> MyBool; elemTup0 = pt any esEsTup0; esEsTup0 :: Tup0 -> Tup0 -> MyBool; esEsTup0 Tup0 Tup0 = MyTrue; foldr :: (b -> a -> a) -> a -> List b -> a; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); map :: (b -> a) -> List b -> List a; map f Nil = Nil; map f (Cons x xs) = Cons (f x) (map f xs); or :: List MyBool -> MyBool; or = foldr pePe MyFalse; pePe :: MyBool -> MyBool -> MyBool; pePe MyFalse x = x; pePe MyTrue x = MyTrue; pt :: (b -> a) -> (c -> b) -> c -> a; pt f g x = f (g x); } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data List a = Cons a (List a) | Nil ; data MyBool = MyTrue | MyFalse ; data Tup0 = Tup0 ; any :: (a -> MyBool) -> List a -> MyBool; any p = pt or (map p); elemTup0 :: Tup0 -> List Tup0 -> MyBool; elemTup0 = pt any esEsTup0; esEsTup0 :: Tup0 -> Tup0 -> MyBool; esEsTup0 Tup0 Tup0 = MyTrue; foldr :: (a -> b -> b) -> b -> List a -> b; foldr f z Nil = z; foldr f z (Cons x xs) = f x (foldr f z xs); map :: (b -> a) -> List b -> List a; map f Nil = Nil; map f (Cons x xs) = Cons (f x) (map f xs);
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