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Haskell 2019-04-01 06.52 pair #433317487
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
n166.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.15012 seconds
cpu usage
9.96467
user time
9.64886
system time
0.31581
max virtual memory
1.8286232E7
max residence set size
595904.0
stage attributes
key
value
starexec-result
YES
output
7.95/3.53 YES 9.68/4.03 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.68/4.03 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.68/4.03 9.68/4.03 9.68/4.03 H-Termination with start terms of the given HASKELL could be proven: 9.68/4.03 9.68/4.03 (0) HASKELL 9.68/4.03 (1) BR [EQUIVALENT, 0 ms] 9.68/4.03 (2) HASKELL 9.68/4.03 (3) COR [EQUIVALENT, 0 ms] 9.68/4.03 (4) HASKELL 9.68/4.03 (5) Narrow [SOUND, 0 ms] 9.68/4.03 (6) QDP 9.68/4.03 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.68/4.03 (8) YES 9.68/4.03 9.68/4.03 9.68/4.03 ---------------------------------------- 9.68/4.03 9.68/4.03 (0) 9.68/4.03 Obligation: 9.68/4.03 mainModule Main 9.68/4.03 module Main where { 9.68/4.03 import qualified Prelude; 9.68/4.03 data List a = Cons a (List a) | Nil ; 9.68/4.03 9.68/4.03 data MyBool = MyTrue | MyFalse ; 9.68/4.03 9.68/4.03 data Tup0 = Tup0 ; 9.68/4.03 9.68/4.03 all :: (a -> MyBool) -> List a -> MyBool; 9.68/4.03 all p = pt and (map p); 9.68/4.03 9.68/4.03 and :: List MyBool -> MyBool; 9.68/4.03 and = foldr asAs MyTrue; 9.68/4.03 9.68/4.03 asAs :: MyBool -> MyBool -> MyBool; 9.68/4.03 asAs MyFalse x = MyFalse; 9.68/4.03 asAs MyTrue x = x; 9.68/4.03 9.68/4.03 esEsTup0 :: Tup0 -> Tup0 -> MyBool; 9.68/4.03 esEsTup0 Tup0 Tup0 = MyTrue; 9.68/4.03 9.68/4.03 foldr :: (b -> a -> a) -> a -> List b -> a; 9.68/4.03 foldr f z Nil = z; 9.68/4.03 foldr f z (Cons x xs) = f x (foldr f z xs); 9.68/4.03 9.68/4.03 fsEsTup0 :: Tup0 -> Tup0 -> MyBool; 9.68/4.03 fsEsTup0 x y = not (esEsTup0 x y); 9.68/4.03 9.68/4.03 map :: (b -> a) -> List b -> List a; 9.68/4.03 map f Nil = Nil; 9.68/4.03 map f (Cons x xs) = Cons (f x) (map f xs); 9.68/4.03 9.68/4.03 not :: MyBool -> MyBool; 9.68/4.03 not MyTrue = MyFalse; 9.68/4.03 not MyFalse = MyTrue; 9.68/4.03 9.68/4.03 notElemTup0 :: Tup0 -> List Tup0 -> MyBool; 9.68/4.03 notElemTup0 = pt all fsEsTup0; 9.68/4.03 9.68/4.03 pt :: (a -> c) -> (b -> a) -> b -> c; 9.68/4.03 pt f g x = f (g x); 9.68/4.03 9.68/4.03 } 9.68/4.03 9.68/4.03 ---------------------------------------- 9.68/4.03 9.68/4.03 (1) BR (EQUIVALENT) 9.68/4.03 Replaced joker patterns by fresh variables and removed binding patterns. 9.68/4.03 ---------------------------------------- 9.68/4.03 9.68/4.03 (2) 9.68/4.03 Obligation: 9.68/4.03 mainModule Main 9.68/4.03 module Main where { 9.68/4.03 import qualified Prelude; 9.68/4.03 data List a = Cons a (List a) | Nil ; 9.68/4.03 9.68/4.03 data MyBool = MyTrue | MyFalse ; 9.68/4.03 9.68/4.03 data Tup0 = Tup0 ; 9.68/4.03 9.68/4.03 all :: (a -> MyBool) -> List a -> MyBool; 9.68/4.03 all p = pt and (map p); 9.68/4.03 9.68/4.03 and :: List MyBool -> MyBool; 9.68/4.03 and = foldr asAs MyTrue; 9.68/4.03 9.68/4.03 asAs :: MyBool -> MyBool -> MyBool; 9.68/4.03 asAs MyFalse x = MyFalse; 9.68/4.03 asAs MyTrue x = x; 9.68/4.03 9.68/4.03 esEsTup0 :: Tup0 -> Tup0 -> MyBool; 9.68/4.03 esEsTup0 Tup0 Tup0 = MyTrue; 9.68/4.03 9.68/4.03 foldr :: (b -> a -> a) -> a -> List b -> a; 9.68/4.03 foldr f z Nil = z; 9.68/4.03 foldr f z (Cons x xs) = f x (foldr f z xs);
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