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Haskell 2019-04-01 06.52 pair #433317339
details
property
value
status
complete
benchmark
elem_3.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n101.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.54697 seconds
cpu usage
10.0443
user time
9.74371
system time
0.300568
max virtual memory
1.8286124E7
max residence set size
576452.0
stage attributes
key
value
starexec-result
YES
output
8.01/3.95 YES 9.88/4.48 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.88/4.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.88/4.48 9.88/4.48 9.88/4.48 H-Termination with start terms of the given HASKELL could be proven: 9.88/4.48 9.88/4.48 (0) HASKELL 9.88/4.48 (1) BR [EQUIVALENT, 0 ms] 9.88/4.48 (2) HASKELL 9.88/4.48 (3) COR [EQUIVALENT, 0 ms] 9.88/4.48 (4) HASKELL 9.88/4.48 (5) Narrow [SOUND, 0 ms] 9.88/4.48 (6) QDP 9.88/4.48 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.88/4.48 (8) YES 9.88/4.48 9.88/4.48 9.88/4.48 ---------------------------------------- 9.88/4.48 9.88/4.48 (0) 9.88/4.48 Obligation: 9.88/4.48 mainModule Main 9.88/4.48 module Main where { 9.88/4.48 import qualified Prelude; 9.88/4.48 data List a = Cons a (List a) | Nil ; 9.88/4.48 9.88/4.48 data MyBool = MyTrue | MyFalse ; 9.88/4.48 9.88/4.48 any :: (a -> MyBool) -> List a -> MyBool; 9.88/4.48 any p = pt or (map p); 9.88/4.48 9.88/4.48 elemMyBool :: MyBool -> List MyBool -> MyBool; 9.88/4.48 elemMyBool = pt any esEsMyBool; 9.88/4.48 9.88/4.48 esEsMyBool :: MyBool -> MyBool -> MyBool; 9.88/4.48 esEsMyBool MyFalse MyFalse = MyTrue; 9.88/4.48 esEsMyBool MyFalse MyTrue = MyFalse; 9.88/4.48 esEsMyBool MyTrue MyFalse = MyFalse; 9.88/4.48 esEsMyBool MyTrue MyTrue = MyTrue; 9.88/4.48 9.88/4.48 foldr :: (b -> a -> a) -> a -> List b -> a; 9.88/4.48 foldr f z Nil = z; 9.88/4.48 foldr f z (Cons x xs) = f x (foldr f z xs); 9.88/4.48 9.88/4.48 map :: (a -> b) -> List a -> List b; 9.88/4.48 map f Nil = Nil; 9.88/4.48 map f (Cons x xs) = Cons (f x) (map f xs); 9.88/4.48 9.88/4.48 or :: List MyBool -> MyBool; 9.88/4.48 or = foldr pePe MyFalse; 9.88/4.48 9.88/4.48 pePe :: MyBool -> MyBool -> MyBool; 9.88/4.48 pePe MyFalse x = x; 9.88/4.48 pePe MyTrue x = MyTrue; 9.88/4.48 9.88/4.48 pt :: (b -> c) -> (a -> b) -> a -> c; 9.88/4.48 pt f g x = f (g x); 9.88/4.48 9.88/4.48 } 9.88/4.48 9.88/4.48 ---------------------------------------- 9.88/4.48 9.88/4.48 (1) BR (EQUIVALENT) 9.88/4.48 Replaced joker patterns by fresh variables and removed binding patterns. 9.88/4.48 ---------------------------------------- 9.88/4.48 9.88/4.48 (2) 9.88/4.48 Obligation: 9.88/4.48 mainModule Main 9.88/4.48 module Main where { 9.88/4.48 import qualified Prelude; 9.88/4.48 data List a = Cons a (List a) | Nil ; 9.88/4.48 9.88/4.48 data MyBool = MyTrue | MyFalse ; 9.88/4.48 9.88/4.48 any :: (a -> MyBool) -> List a -> MyBool; 9.88/4.48 any p = pt or (map p); 9.88/4.48 9.88/4.48 elemMyBool :: MyBool -> List MyBool -> MyBool; 9.88/4.48 elemMyBool = pt any esEsMyBool; 9.88/4.48 9.88/4.48 esEsMyBool :: MyBool -> MyBool -> MyBool; 9.88/4.48 esEsMyBool MyFalse MyFalse = MyTrue; 9.88/4.48 esEsMyBool MyFalse MyTrue = MyFalse; 9.88/4.48 esEsMyBool MyTrue MyFalse = MyFalse; 9.88/4.48 esEsMyBool MyTrue MyTrue = MyTrue; 9.88/4.48 9.88/4.48 foldr :: (b -> a -> a) -> a -> List b -> a; 9.88/4.48 foldr f z Nil = z; 9.88/4.48 foldr f z (Cons x xs) = f x (foldr f z xs); 9.88/4.48 9.88/4.48 map :: (a -> b) -> List a -> List b; 9.88/4.48 map f Nil = Nil; 9.88/4.48 map f (Cons x xs) = Cons (f x) (map f xs); 9.88/4.48 9.88/4.48 or :: List MyBool -> MyBool; 9.88/4.48 or = foldr pePe MyFalse; 9.88/4.48 9.88/4.48 pePe :: MyBool -> MyBool -> MyBool;
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