details

property	value
status	complete
benchmark	show_5.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n005.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.1586 seconds
cpu usage	13.103
user time	12.7491
system time	0.353846
max virtual memory	1.8285568E7
max residence set size	788464.0

stage attributes

key	value
starexec-result	YES

output

10.56/4.46 YES 13.04/5.11 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 13.04/5.11 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.04/5.11 13.04/5.11 13.04/5.11 H-Termination with start terms of the given HASKELL could be proven: 13.04/5.11 13.04/5.11 (0) HASKELL 13.04/5.11 (1) BR [EQUIVALENT, 0 ms] 13.04/5.11 (2) HASKELL 13.04/5.11 (3) COR [EQUIVALENT, 0 ms] 13.04/5.11 (4) HASKELL 13.04/5.11 (5) Narrow [EQUIVALENT, 503 ms] 13.04/5.11 (6) YES 13.04/5.11 13.04/5.11 13.04/5.11 ---------------------------------------- 13.04/5.11 13.04/5.11 (0) 13.04/5.11 Obligation: 13.04/5.11 mainModule Main 13.04/5.11 module Main where { 13.04/5.11 import qualified Prelude; 13.04/5.11 data Main.Char = Char MyInt ; 13.04/5.11 13.04/5.11 data List a = Cons a (List a) | Nil ; 13.04/5.11 13.04/5.11 data MyBool = MyTrue | MyFalse ; 13.04/5.11 13.04/5.11 data MyInt = Pos Main.Nat | Neg Main.Nat ; 13.04/5.11 13.04/5.11 data Main.Nat = Succ Main.Nat | Zero ; 13.04/5.11 13.04/5.11 data Ordering = LT | EQ | GT ; 13.04/5.11 13.04/5.11 compareMyInt :: MyInt -> MyInt -> Ordering; 13.04/5.11 compareMyInt = primCmpInt; 13.04/5.11 13.04/5.11 esEsOrdering :: Ordering -> Ordering -> MyBool; 13.04/5.11 esEsOrdering LT LT = MyTrue; 13.04/5.11 esEsOrdering LT EQ = MyFalse; 13.04/5.11 esEsOrdering LT GT = MyFalse; 13.04/5.11 esEsOrdering EQ LT = MyFalse; 13.04/5.11 esEsOrdering EQ EQ = MyTrue; 13.04/5.11 esEsOrdering EQ GT = MyFalse; 13.04/5.11 esEsOrdering GT LT = MyFalse; 13.04/5.11 esEsOrdering GT EQ = MyFalse; 13.04/5.11 esEsOrdering GT GT = MyTrue; 13.04/5.11 13.04/5.11 gtMyInt :: MyInt -> MyInt -> MyBool; 13.04/5.11 gtMyInt x y = esEsOrdering (compareMyInt x y) GT; 13.04/5.11 13.04/5.11 primCmpInt :: MyInt -> MyInt -> Ordering; 13.04/5.11 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 13.04/5.11 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 13.04/5.11 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 13.04/5.11 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 13.04/5.11 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 13.04/5.11 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 13.04/5.11 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 13.04/5.11 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 13.04/5.11 13.04/5.11 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 13.04/5.11 primCmpNat Main.Zero Main.Zero = EQ; 13.04/5.11 primCmpNat Main.Zero (Main.Succ y) = LT; 13.04/5.11 primCmpNat (Main.Succ x) Main.Zero = GT; 13.04/5.11 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 13.04/5.11 13.04/5.11 psPs :: List a -> List a -> List a; 13.04/5.11 psPs Nil ys = ys; 13.04/5.11 psPs (Cons x xs) ys = Cons x (psPs xs ys); 13.04/5.11 13.04/5.11 pt :: (a -> c) -> (b -> a) -> b -> c; 13.04/5.11 pt f g x = f (g x); 13.04/5.11 13.04/5.11 showChar :: Main.Char -> List Main.Char -> List Main.Char; 13.04/5.11 showChar = Cons; 13.04/5.11 13.04/5.11 showOrdering :: Ordering -> List Main.Char; 13.04/5.11 showOrdering x = showsPrecOrdering (Main.Pos Main.Zero) x Nil; 13.04/5.11 13.04/5.11 showParen :: MyBool -> (List Main.Char -> List Main.Char) -> List Main.Char -> List Main.Char; 13.04/5.11 showParen b p = showParen0 p b; 13.04/5.11 13.04/5.11 showParen0 p MyTrue = pt (showChar (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))) (pt p (showChar (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))))); 13.04/5.11 showParen0 p MyFalse = p; 13.04/5.11 13.04/5.11 showString :: List Main.Char -> List Main.Char -> List Main.Char; 13.04/5.11 showString = psPs; 13.04/5.11 13.04/5.11 showsPrecOrdering :: MyInt -> Ordering -> List Main.Char -> List Main.Char; 13.04/5.11 showsPrecOrdering d LT = showParen (gtMyInt d (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))) (showString (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))) Nil)))); 13.04/5.11 showsPrecOrdering d EQ = showParen (gtMyInt d (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))) (showString (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))) Nil)))); 13.04/5.11 showsPrecOrdering d GT = showParen (gtMyInt d (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))) (showString (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Cons (Main.Char (Main.Pos (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ (Main.Succ Main.Zero)))))))))))))))))))))))))))))))))) Nil)))); 13.04/5.11 13.04/5.11 } 13.04/5.11 13.04/5.11 ---------------------------------------- 13.04/5.11 13.04/5.11 (1) BR (EQUIVALENT) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Haskell 2019-04-01 06.52