Haskell 2019-04-01 06.52 pair #433317338

details

property	value
status	complete
benchmark	lookup_3.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)	4.27873 seconds
cpu usage	10.439
user time	10.111
system time	0.327963
max virtual memory	1.8285568E7
max residence set size	558092.0

stage attributes

key	value
starexec-result	YES

output

8.60/3.73	YES
10.19/4.22	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.19/4.22	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.19/4.22	
10.19/4.22	
10.19/4.22	H-Termination with start terms of the given HASKELL could be proven:
10.19/4.22	
10.19/4.22	(0) HASKELL
10.19/4.22	(1) BR [EQUIVALENT, 0 ms]
10.19/4.22	(2) HASKELL
10.19/4.22	(3) COR [EQUIVALENT, 0 ms]
10.19/4.22	(4) HASKELL
10.19/4.22	(5) Narrow [SOUND, 0 ms]
10.19/4.22	(6) QDP
10.19/4.22	(7) DependencyGraphProof [EQUIVALENT, 0 ms]
10.19/4.22	(8) AND
10.19/4.22	    (9) QDP
10.19/4.22	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.22	        (11) YES
10.19/4.22	    (12) QDP
10.19/4.22	        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.22	        (14) YES
10.19/4.22	    (15) QDP
10.19/4.22	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.22	        (17) YES
10.19/4.22	    (18) QDP
10.19/4.22	        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.22	        (20) YES
10.19/4.22	
10.19/4.22	
10.19/4.22	----------------------------------------
10.19/4.22	
10.19/4.22	(0)
10.19/4.22	Obligation:
10.19/4.22	mainModule Main 
10.19/4.22	module Main where {
10.19/4.22	import qualified Prelude;
10.19/4.22	data Main.Char = Char MyInt ;
10.19/4.22	
10.19/4.22	data List a = Cons a (List a)  | Nil ;
10.19/4.22	
10.19/4.22	data Main.Maybe a = Nothing  | Just a ;
10.19/4.22	
10.19/4.22	data MyBool = MyTrue  | MyFalse ;
10.19/4.22	
10.19/4.22	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.19/4.22	
10.19/4.22	data Main.Nat = Succ Main.Nat  | Zero ;
10.19/4.22	
10.19/4.22	data Tup2 b a = Tup2 b a ;
10.19/4.22	
10.19/4.22	esEsChar :: Main.Char  ->  Main.Char  ->  MyBool;
10.19/4.22	esEsChar = primEqChar;
10.19/4.22	
10.19/4.22	lookup k Nil = lookup3 k Nil;
10.19/4.22	lookup k (Cons (Tup2 x y) xys) = lookup2 k (Cons (Tup2 x y) xys);
10.19/4.22	
10.19/4.22	lookup0 k x y xys MyTrue = lookup k xys;
10.19/4.22	
10.19/4.22	lookup1 k x y xys MyTrue = Main.Just y;
10.19/4.22	lookup1 k x y xys MyFalse = lookup0 k x y xys otherwise;
10.19/4.22	
10.19/4.22	lookup2 k (Cons (Tup2 x y) xys) = lookup1 k x y xys (esEsChar k x);
10.19/4.22	
10.19/4.22	lookup3 k Nil = Main.Nothing;
10.19/4.22	lookup3 wu wv = lookup2 wu wv;
10.19/4.22	
10.19/4.22	otherwise :: MyBool;
10.19/4.22	otherwise = MyTrue;
10.19/4.22	
10.19/4.22	primEqChar :: Main.Char  ->  Main.Char  ->  MyBool;
10.19/4.22	primEqChar (Main.Char x) (Main.Char y) = primEqInt x y;
10.19/4.22	
10.19/4.22	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.19/4.22	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.19/4.22	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.19/4.22	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.19/4.22	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.19/4.22	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.19/4.22	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.19/4.22	primEqInt vv vw = MyFalse;
10.19/4.22	
10.19/4.22	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.19/4.22	primEqNat Main.Zero Main.Zero = MyTrue;
10.19/4.22	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.19/4.22	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.19/4.22	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.19/4.22	
10.19/4.22	}
10.19/4.22	
10.19/4.22	----------------------------------------
10.19/4.22	
10.19/4.22	(1) BR (EQUIVALENT)
10.19/4.22	Replaced joker patterns by fresh variables and removed binding patterns.
10.19/4.22	----------------------------------------
10.19/4.22	
10.19/4.22	(2)
10.19/4.22	Obligation:
10.19/4.22	mainModule Main 
10.19/4.22	module Main where {

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actions all output return to Haskell 2019-04-01 06.52