details

property	value
status	complete
benchmark	elem_6.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n171.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.68474 seconds
cpu usage	10.1144
user time	9.80054
system time	0.313825
max virtual memory	1.828352E7
max residence set size	569468.0

stage attributes

key	value
starexec-result	YES

output

7.85/4.09 YES 9.94/4.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.94/4.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.94/4.65 9.94/4.65 9.94/4.65 H-Termination with start terms of the given HASKELL could be proven: 9.94/4.65 9.94/4.65 (0) HASKELL 9.94/4.65 (1) BR [EQUIVALENT, 0 ms] 9.94/4.65 (2) HASKELL 9.94/4.65 (3) COR [EQUIVALENT, 0 ms] 9.94/4.65 (4) HASKELL 9.94/4.65 (5) Narrow [SOUND, 0 ms] 9.94/4.65 (6) AND 9.94/4.65 (7) QDP 9.94/4.65 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.94/4.65 (9) YES 9.94/4.65 (10) QDP 9.94/4.65 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.94/4.65 (12) YES 9.94/4.65 9.94/4.65 9.94/4.65 ---------------------------------------- 9.94/4.65 9.94/4.65 (0) 9.94/4.65 Obligation: 9.94/4.65 mainModule Main 9.94/4.65 module Main where { 9.94/4.65 import qualified Prelude; 9.94/4.65 data List a = Cons a (List a) | Nil ; 9.94/4.65 9.94/4.65 data MyBool = MyTrue | MyFalse ; 9.94/4.65 9.94/4.65 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.94/4.65 9.94/4.65 data Main.Nat = Succ Main.Nat | Zero ; 9.94/4.65 9.94/4.65 any :: (a -> MyBool) -> List a -> MyBool; 9.94/4.65 any p = pt or (map p); 9.94/4.65 9.94/4.65 elemMyInt :: MyInt -> List MyInt -> MyBool; 9.94/4.65 elemMyInt = pt any esEsMyInt; 9.94/4.65 9.94/4.65 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.94/4.65 esEsMyInt = primEqInt; 9.94/4.65 9.94/4.65 foldr :: (b -> a -> a) -> a -> List b -> a; 9.94/4.65 foldr f z Nil = z; 9.94/4.65 foldr f z (Cons x xs) = f x (foldr f z xs); 9.94/4.65 9.94/4.65 map :: (a -> b) -> List a -> List b; 9.94/4.65 map f Nil = Nil; 9.94/4.65 map f (Cons x xs) = Cons (f x) (map f xs); 9.94/4.65 9.94/4.65 or :: List MyBool -> MyBool; 9.94/4.65 or = foldr pePe MyFalse; 9.94/4.65 9.94/4.65 pePe :: MyBool -> MyBool -> MyBool; 9.94/4.65 pePe MyFalse x = x; 9.94/4.65 pePe MyTrue x = MyTrue; 9.94/4.65 9.94/4.65 primEqInt :: MyInt -> MyInt -> MyBool; 9.94/4.65 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.94/4.65 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.94/4.65 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.94/4.65 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.94/4.65 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.94/4.65 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.94/4.65 primEqInt vv vw = MyFalse; 9.94/4.65 9.94/4.65 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.94/4.65 primEqNat Main.Zero Main.Zero = MyTrue; 9.94/4.65 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.94/4.65 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.94/4.65 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.94/4.65 9.94/4.65 pt :: (b -> a) -> (c -> b) -> c -> a; 9.94/4.65 pt f g x = f (g x); 9.94/4.65 9.94/4.65 } 9.94/4.65 9.94/4.65 ---------------------------------------- 9.94/4.65 9.94/4.65 (1) BR (EQUIVALENT) 9.94/4.65 Replaced joker patterns by fresh variables and removed binding patterns. 9.94/4.65 ---------------------------------------- 9.94/4.65 9.94/4.65 (2) 9.94/4.65 Obligation: 9.94/4.65 mainModule Main 9.94/4.65 module Main where { 9.94/4.65 import qualified Prelude; 9.94/4.65 data List a = Cons a (List a) | Nil ; 9.94/4.65 9.94/4.65 data MyBool = MyTrue | MyFalse ; 9.94/4.65 9.94/4.65 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.94/4.65 9.94/4.65 data Main.Nat = Succ Main.Nat | Zero ; 9.94/4.65 popout

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job log

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actions

all output return to Haskell 2019-04-01 06.52