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Haskell pair #487598136
details
property
value
status
complete
benchmark
notElem_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.89386200905 seconds
cpu usage
10.0661276
max memory
5.89529088E8
stage attributes
key
value
output-size
8752
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 ; all :: (a -> MyBool) -> List a -> MyBool; all p = pt and (map p); and :: List MyBool -> MyBool; and = foldr asAs MyTrue; asAs :: MyBool -> MyBool -> MyBool; asAs MyFalse x = MyFalse; asAs MyTrue x = x; 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); fsEsTup0 :: Tup0 -> Tup0 -> MyBool; fsEsTup0 x y = not (esEsTup0 x y); map :: (a -> b) -> List a -> List b; map f Nil = Nil; map f (Cons x xs) = Cons (f x) (map f xs); not :: MyBool -> MyBool; not MyTrue = MyFalse; not MyFalse = MyTrue; notElemTup0 :: Tup0 -> List Tup0 -> MyBool; notElemTup0 = pt all fsEsTup0; pt :: (b -> c) -> (a -> b) -> a -> c; 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 ; all :: (a -> MyBool) -> List a -> MyBool; all p = pt and (map p); and :: List MyBool -> MyBool; and = foldr asAs MyTrue; asAs :: MyBool -> MyBool -> MyBool; asAs MyFalse x = MyFalse; asAs MyTrue x = x;
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