Haskell 2019-04-01 06.52 pair #433317470

details

property	value
status	complete
benchmark	shows_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.21314 seconds
cpu usage	9.9536
user time	9.63942
system time	0.314189
max virtual memory	1.828352E7
max residence set size	554804.0

stage attributes

key	value
starexec-result	YES

output

7.81/3.61	YES
9.83/4.16	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.83/4.16	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.83/4.16	
9.83/4.16	
9.83/4.16	H-Termination with start terms of the given HASKELL could be proven:
9.83/4.16	
9.83/4.16	(0) HASKELL
9.83/4.16	(1) BR [EQUIVALENT, 0 ms]
9.83/4.16	(2) HASKELL
9.83/4.16	(3) COR [EQUIVALENT, 0 ms]
9.83/4.16	(4) HASKELL
9.83/4.16	(5) Narrow [EQUIVALENT, 30 ms]
9.83/4.16	(6) YES
9.83/4.16	
9.83/4.16	
9.83/4.16	----------------------------------------
9.83/4.16	
9.83/4.16	(0)
9.83/4.16	Obligation:
9.83/4.16	mainModule Main 
9.83/4.16	module Main where {
9.83/4.16	import qualified Prelude;
9.83/4.16	data Main.Char = Char MyInt ;
9.83/4.16	
9.83/4.16	data List a = Cons a (List a)  | Nil ;
9.83/4.16	
9.83/4.16	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.83/4.16	
9.83/4.16	data Main.Nat = Succ Main.Nat  | Zero ;
9.83/4.16	
9.83/4.16	data Tup0 = Tup0 ;
9.83/4.16	
9.83/4.16	psPs :: List a  ->  List a  ->  List a;
9.83/4.16	psPs Nil ys = ys;
9.83/4.16	psPs (Cons x xs) ys = Cons x (psPs xs ys);
9.83/4.16	
9.83/4.16	showString :: List Main.Char  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showString = psPs;
9.83/4.16	
9.83/4.16	showsPrecTup0 :: MyInt  ->  Tup0  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showsPrecTup0 p Tup0 = 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.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.Zero))))))))))))))))))))))))))))))))))))))))))) Nil));
9.83/4.16	
9.83/4.16	showsTup0 :: Tup0  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showsTup0 = showsPrecTup0 (Main.Pos Main.Zero);
9.83/4.16	
9.83/4.16	}
9.83/4.16	
9.83/4.16	----------------------------------------
9.83/4.16	
9.83/4.16	(1) BR (EQUIVALENT)
9.83/4.16	Replaced joker patterns by fresh variables and removed binding patterns.
9.83/4.16	----------------------------------------
9.83/4.16	
9.83/4.16	(2)
9.83/4.16	Obligation:
9.83/4.16	mainModule Main 
9.83/4.16	module Main where {
9.83/4.16	import qualified Prelude;
9.83/4.16	data Main.Char = Char MyInt ;
9.83/4.16	
9.83/4.16	data List a = Cons a (List a)  | Nil ;
9.83/4.16	
9.83/4.16	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.83/4.16	
9.83/4.16	data Main.Nat = Succ Main.Nat  | Zero ;
9.83/4.16	
9.83/4.16	data Tup0 = Tup0 ;
9.83/4.16	
9.83/4.16	psPs :: List a  ->  List a  ->  List a;
9.83/4.16	psPs Nil ys = ys;
9.83/4.16	psPs (Cons x xs) ys = Cons x (psPs xs ys);
9.83/4.16	
9.83/4.16	showString :: List Main.Char  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showString = psPs;
9.83/4.16	
9.83/4.16	showsPrecTup0 :: MyInt  ->  Tup0  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showsPrecTup0 p Tup0 = 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.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.Zero))))))))))))))))))))))))))))))))))))))))))) Nil));
9.83/4.16	
9.83/4.16	showsTup0 :: Tup0  ->  List Main.Char  ->  List Main.Char;
9.83/4.16	showsTup0 = showsPrecTup0 (Main.Pos Main.Zero);
9.83/4.16	
9.83/4.16	}
9.83/4.16	
9.83/4.16	----------------------------------------
9.83/4.16	
9.83/4.16	(3) COR (EQUIVALENT)
9.83/4.16	Cond Reductions:
9.83/4.16	The following Function with conditions
9.83/4.16	"undefined |Falseundefined;
9.83/4.16	"
9.83/4.16	is transformed to
9.83/4.16	"undefined  = undefined1;
9.83/4.16	"
9.83/4.16	"undefined0 True = undefined;
9.83/4.16	"
9.83/4.16	"undefined1  = undefined0 False;
9.83/4.16	"
9.83/4.16	
9.83/4.16	----------------------------------------

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