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Haskell 2019-04-01 06.52 pair #433317332
details
property
value
status
complete
benchmark
showsPrec_5.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.14686 seconds
cpu usage
14.3589
user time
13.9731
system time
0.385753
max virtual memory
1.8285568E7
max residence set size
799416.0
stage attributes
key
value
starexec-result
YES
output
11.76/4.99 YES 14.24/5.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 14.24/5.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.24/5.67 14.24/5.67 14.24/5.67 H-Termination with start terms of the given HASKELL could be proven: 14.24/5.67 14.24/5.67 (0) HASKELL 14.24/5.67 (1) BR [EQUIVALENT, 0 ms] 14.24/5.67 (2) HASKELL 14.24/5.67 (3) COR [EQUIVALENT, 0 ms] 14.24/5.67 (4) HASKELL 14.24/5.67 (5) Narrow [SOUND, 0 ms] 14.24/5.67 (6) QDP 14.24/5.67 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.24/5.67 (8) YES 14.24/5.67 14.24/5.67 14.24/5.67 ---------------------------------------- 14.24/5.67 14.24/5.67 (0) 14.24/5.67 Obligation: 14.24/5.67 mainModule Main 14.24/5.67 module Main where { 14.24/5.67 import qualified Prelude; 14.24/5.67 data Main.Char = Char MyInt ; 14.24/5.67 14.24/5.67 data List a = Cons a (List a) | Nil ; 14.24/5.67 14.24/5.67 data MyBool = MyTrue | MyFalse ; 14.24/5.67 14.24/5.67 data MyInt = Pos Main.Nat | Neg Main.Nat ; 14.24/5.67 14.24/5.67 data Main.Nat = Succ Main.Nat | Zero ; 14.24/5.67 14.24/5.67 data Ordering = LT | EQ | GT ; 14.24/5.67 14.24/5.67 compareMyInt :: MyInt -> MyInt -> Ordering; 14.24/5.67 compareMyInt = primCmpInt; 14.24/5.67 14.24/5.67 esEsOrdering :: Ordering -> Ordering -> MyBool; 14.24/5.67 esEsOrdering LT LT = MyTrue; 14.24/5.67 esEsOrdering LT EQ = MyFalse; 14.24/5.67 esEsOrdering LT GT = MyFalse; 14.24/5.67 esEsOrdering EQ LT = MyFalse; 14.24/5.67 esEsOrdering EQ EQ = MyTrue; 14.24/5.67 esEsOrdering EQ GT = MyFalse; 14.24/5.67 esEsOrdering GT LT = MyFalse; 14.24/5.67 esEsOrdering GT EQ = MyFalse; 14.24/5.67 esEsOrdering GT GT = MyTrue; 14.24/5.67 14.24/5.67 gtMyInt :: MyInt -> MyInt -> MyBool; 14.24/5.67 gtMyInt x y = esEsOrdering (compareMyInt x y) GT; 14.24/5.67 14.24/5.67 primCmpInt :: MyInt -> MyInt -> Ordering; 14.24/5.67 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 14.24/5.67 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 14.24/5.67 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 14.24/5.67 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 14.24/5.67 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 14.24/5.67 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 14.24/5.67 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 14.24/5.67 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 14.24/5.67 14.24/5.67 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 14.24/5.67 primCmpNat Main.Zero Main.Zero = EQ; 14.24/5.67 primCmpNat Main.Zero (Main.Succ y) = LT; 14.24/5.67 primCmpNat (Main.Succ x) Main.Zero = GT; 14.24/5.67 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 14.24/5.67 14.24/5.67 psPs :: List a -> List a -> List a; 14.24/5.67 psPs Nil ys = ys; 14.24/5.67 psPs (Cons x xs) ys = Cons x (psPs xs ys); 14.24/5.67 14.24/5.67 pt :: (c -> b) -> (a -> c) -> a -> b; 14.24/5.67 pt f g x = f (g x); 14.24/5.67 14.24/5.67 showChar :: Main.Char -> List Main.Char -> List Main.Char; 14.24/5.67 showChar = Cons; 14.24/5.67 14.24/5.67 showParen :: MyBool -> (List Main.Char -> List Main.Char) -> List Main.Char -> List Main.Char; 14.24/5.67 showParen b p = showParen0 p b; 14.24/5.67 14.24/5.67 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))))))))))))))))))))))))))))))))))))))))))))); 14.24/5.67 showParen0 p MyFalse = p; 14.24/5.67 14.24/5.67 showString :: List Main.Char -> List Main.Char -> List Main.Char; 14.24/5.67 showString = psPs; 14.24/5.67 14.24/5.67 showsPrecOrdering :: MyInt -> Ordering -> List Main.Char -> List Main.Char; 14.24/5.67 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)))); 14.24/5.67 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)))); 14.24/5.67 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)))); 14.24/5.67 14.24/5.67 } 14.24/5.67 14.24/5.67 ---------------------------------------- 14.24/5.67 14.24/5.67 (1) BR (EQUIVALENT) 14.24/5.67 Replaced joker patterns by fresh variables and removed binding patterns.
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