8.28/3.73	NO
9.81/4.23	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.81/4.23	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.81/4.23	
9.81/4.23	
9.81/4.23	H-Termination with start terms of the given HASKELL could be disproven:
9.81/4.23	
9.81/4.23	(0) HASKELL
9.81/4.23	(1) BR [EQUIVALENT, 0 ms]
9.81/4.23	(2) HASKELL
9.81/4.23	(3) COR [EQUIVALENT, 0 ms]
9.81/4.23	(4) HASKELL
9.81/4.23	(5) Narrow [COMPLETE, 0 ms]
9.81/4.23	(6) AND
9.81/4.23	    (7) QDP
9.81/4.23	        (8) NonTerminationLoopProof [COMPLETE, 0 ms]
9.81/4.23	        (9) NO
9.81/4.23	    (10) QDP
9.81/4.23	
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(0)
9.81/4.23	Obligation:
9.81/4.23	mainModule Main 
9.81/4.23	module Main where {
9.81/4.23	import qualified Prelude;
9.81/4.23	data Main.Char = Char MyInt ;
9.81/4.23	
9.81/4.23	data Main.HugsException = HugsException ;
9.81/4.23	
9.81/4.23	data Main.IO a = IO ((Main.IOError  ->  Main.IOResult)  ->  (a  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data Main.IOError = IOError Main.IOErrorKind (List Main.Char) (List Main.Char) (Main.Maybe (List Main.Char)) ;
9.81/4.23	
9.81/4.23	data Main.IOErrorKind = Junk ;
9.81/4.23	
9.81/4.23	data Main.IOResult = Hugs_ExitWith MyInt  | Hugs_Error Main.IOError  | Hugs_Catch Main.IOResult (Main.HugsException  ->  Main.IOResult) (Main.IOError  ->  Main.IOResult) (Main.Obj  ->  Main.IOResult)  | Hugs_ForkThread Main.IOResult Main.IOResult  | Hugs_DeadThread  | Hugs_YieldThread Main.IOResult  | Hugs_Return Main.Obj  | Hugs_BlockThread (Main.Obj  ->  Main.IOResult) ((Main.Obj  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data List a = Cons a (List a)  | Nil ;
9.81/4.23	
9.81/4.23	data Main.Maybe a = Nothing  | Just a ;
9.81/4.23	
9.81/4.23	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.81/4.23	
9.81/4.23	data Main.Nat = Succ Main.Nat  | Zero ;
9.81/4.23	
9.81/4.23	data Main.Obj = Obj ;
9.81/4.23	
9.81/4.23	catchHugsException :: Main.IO a  ->  (Main.HugsException  ->  Main.IO a)  ->  Main.IO a;
9.81/4.23	catchHugsException (Main.IO m) k = ds Main.IO (catchHugsException1 m k);
9.81/4.23	
9.81/4.23	catchHugsException0 k f s e = catchHugsException00 f s (k e);
9.81/4.23	
9.81/4.23	catchHugsException00 f s (Main.IO k') = k' f s;
9.81/4.23	
9.81/4.23	catchHugsException1 m k f s = Main.Hugs_Catch (m Main.Hugs_Error (pt Main.Hugs_Return toObj)) (catchHugsException0 k f s) f (pt s fromObj);
9.81/4.23	
9.81/4.23	ds :: (b  ->  a)  ->  b  ->  a;
9.81/4.23	ds f x = f x;
9.81/4.23	
9.81/4.23	fromObj :: Main.Obj  ->  a;
9.81/4.23	fromObj = fromObj;
9.81/4.23	
9.81/4.23	pt :: (b  ->  c)  ->  (a  ->  b)  ->  a  ->  c;
9.81/4.23	pt f g x = f (g x);
9.81/4.23	
9.81/4.23	toObj :: a  ->  Main.Obj;
9.81/4.23	toObj = toObj;
9.81/4.23	
9.81/4.23	}
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(1) BR (EQUIVALENT)
9.81/4.23	Replaced joker patterns by fresh variables and removed binding patterns.
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(2)
9.81/4.23	Obligation:
9.81/4.23	mainModule Main 
9.81/4.23	module Main where {
9.81/4.23	import qualified Prelude;
9.81/4.23	data Main.Char = Char MyInt ;
9.81/4.23	
9.81/4.23	data Main.HugsException = HugsException ;
9.81/4.23	
9.81/4.23	data Main.IO a = IO ((Main.IOError  ->  Main.IOResult)  ->  (a  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data Main.IOError = IOError Main.IOErrorKind (List Main.Char) (List Main.Char) (Main.Maybe (List Main.Char)) ;
9.81/4.23	
9.81/4.23	data Main.IOErrorKind = Junk ;
9.81/4.23	
9.81/4.23	data Main.IOResult = Hugs_ExitWith MyInt  | Hugs_Error Main.IOError  | Hugs_Catch Main.IOResult (Main.HugsException  ->  Main.IOResult) (Main.IOError  ->  Main.IOResult) (Main.Obj  ->  Main.IOResult)  | Hugs_ForkThread Main.IOResult Main.IOResult  | Hugs_DeadThread  | Hugs_YieldThread Main.IOResult  | Hugs_Return Main.Obj  | Hugs_BlockThread (Main.Obj  ->  Main.IOResult) ((Main.Obj  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data List a = Cons a (List a)  | Nil ;
9.81/4.23	
9.81/4.23	data Main.Maybe a = Nothing  | Just a ;
9.81/4.23	
9.81/4.23	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.81/4.23	
9.81/4.23	data Main.Nat = Succ Main.Nat  | Zero ;
9.81/4.23	
9.81/4.23	data Main.Obj = Obj ;
9.81/4.23	
9.81/4.23	catchHugsException :: Main.IO a  ->  (Main.HugsException  ->  Main.IO a)  ->  Main.IO a;
9.81/4.23	catchHugsException (Main.IO m) k = ds Main.IO (catchHugsException1 m k);
9.81/4.23	
9.81/4.23	catchHugsException0 k f s e = catchHugsException00 f s (k e);
9.81/4.23	
9.81/4.23	catchHugsException00 f s (Main.IO k') = k' f s;
9.81/4.23	
9.81/4.23	catchHugsException1 m k f s = Main.Hugs_Catch (m Main.Hugs_Error (pt Main.Hugs_Return toObj)) (catchHugsException0 k f s) f (pt s fromObj);
9.81/4.23	
9.81/4.23	ds :: (a  ->  b)  ->  a  ->  b;
9.81/4.23	ds f x = f x;
9.81/4.23	
9.81/4.23	fromObj :: Main.Obj  ->  a;
9.81/4.23	fromObj = fromObj;
9.81/4.23	
9.81/4.23	pt :: (c  ->  a)  ->  (b  ->  c)  ->  b  ->  a;
9.81/4.23	pt f g x = f (g x);
9.81/4.23	
9.81/4.23	toObj :: a  ->  Main.Obj;
9.81/4.23	toObj = toObj;
9.81/4.23	
9.81/4.23	}
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(3) COR (EQUIVALENT)
9.81/4.23	Cond Reductions:
9.81/4.23	The following Function with conditions
9.81/4.23	"undefined |Falseundefined;
9.81/4.23	"
9.81/4.23	is transformed to
9.81/4.23	"undefined  = undefined1;
9.81/4.23	"
9.81/4.23	"undefined0 True = undefined;
9.81/4.23	"
9.81/4.23	"undefined1  = undefined0 False;
9.81/4.23	"
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(4)
9.81/4.23	Obligation:
9.81/4.23	mainModule Main 
9.81/4.23	module Main where {
9.81/4.23	import qualified Prelude;
9.81/4.23	data Main.Char = Char MyInt ;
9.81/4.23	
9.81/4.23	data Main.HugsException = HugsException ;
9.81/4.23	
9.81/4.23	data Main.IO a = IO ((Main.IOError  ->  Main.IOResult)  ->  (a  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data Main.IOError = IOError Main.IOErrorKind (List Main.Char) (List Main.Char) (Main.Maybe (List Main.Char)) ;
9.81/4.23	
9.81/4.23	data Main.IOErrorKind = Junk ;
9.81/4.23	
9.81/4.23	data Main.IOResult = Hugs_ExitWith MyInt  | Hugs_Error Main.IOError  | Hugs_Catch Main.IOResult (Main.HugsException  ->  Main.IOResult) (Main.IOError  ->  Main.IOResult) (Main.Obj  ->  Main.IOResult)  | Hugs_ForkThread Main.IOResult Main.IOResult  | Hugs_DeadThread  | Hugs_YieldThread Main.IOResult  | Hugs_Return Main.Obj  | Hugs_BlockThread (Main.Obj  ->  Main.IOResult) ((Main.Obj  ->  Main.IOResult)  ->  Main.IOResult) ;
9.81/4.23	
9.81/4.23	data List a = Cons a (List a)  | Nil ;
9.81/4.23	
9.81/4.23	data Main.Maybe a = Nothing  | Just a ;
9.81/4.23	
9.81/4.23	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.81/4.23	
9.81/4.23	data Main.Nat = Succ Main.Nat  | Zero ;
9.81/4.23	
9.81/4.23	data Main.Obj = Obj ;
9.81/4.23	
9.81/4.23	catchHugsException :: Main.IO a  ->  (Main.HugsException  ->  Main.IO a)  ->  Main.IO a;
9.81/4.23	catchHugsException (Main.IO m) k = ds Main.IO (catchHugsException1 m k);
9.81/4.23	
9.81/4.23	catchHugsException0 k f s e = catchHugsException00 f s (k e);
9.81/4.23	
9.81/4.23	catchHugsException00 f s (Main.IO k') = k' f s;
9.81/4.23	
9.81/4.23	catchHugsException1 m k f s = Main.Hugs_Catch (m Main.Hugs_Error (pt Main.Hugs_Return toObj)) (catchHugsException0 k f s) f (pt s fromObj);
9.81/4.23	
9.81/4.23	ds :: (b  ->  a)  ->  b  ->  a;
9.81/4.23	ds f x = f x;
9.81/4.23	
9.81/4.23	fromObj :: Main.Obj  ->  a;
9.81/4.23	fromObj = fromObj;
9.81/4.23	
9.81/4.23	pt :: (c  ->  b)  ->  (a  ->  c)  ->  a  ->  b;
9.81/4.23	pt f g x = f (g x);
9.81/4.23	
9.81/4.23	toObj :: a  ->  Main.Obj;
9.81/4.23	toObj = toObj;
9.81/4.23	
9.81/4.23	}
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(5) Narrow (COMPLETE)
9.81/4.23	Haskell To QDPs
9.81/4.23	
9.81/4.23	digraph dp_graph {
9.81/4.23	node [outthreshold=100, inthreshold=100];1[label="catchHugsException",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.81/4.23	3[label="catchHugsException vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.81/4.23	4[label="catchHugsException vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];35[label="vx3/IO vx30",fontsize=10,color="white",style="solid",shape="box"];4 -> 35[label="",style="solid", color="burlywood", weight=9];
9.81/4.23	35 -> 5[label="",style="solid", color="burlywood", weight=3];
9.81/4.23	5[label="catchHugsException (IO vx30) vx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.81/4.23	6[label="ds IO (catchHugsException1 vx30 vx4)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.81/4.23	7[label="IO (catchHugsException1 vx30 vx4)",fontsize=16,color="green",shape="box"];7 -> 8[label="",style="dashed", color="green", weight=3];
9.81/4.23	8[label="catchHugsException1 vx30 vx4",fontsize=16,color="grey",shape="box"];8 -> 9[label="",style="dashed", color="grey", weight=3];
9.81/4.23	9[label="catchHugsException1 vx30 vx4 vx5",fontsize=16,color="grey",shape="box"];9 -> 10[label="",style="dashed", color="grey", weight=3];
9.81/4.23	10[label="catchHugsException1 vx30 vx4 vx5 vx6",fontsize=16,color="black",shape="triangle"];10 -> 11[label="",style="solid", color="black", weight=3];
9.81/4.23	11[label="Hugs_Catch (vx30 Hugs_Error (pt Hugs_Return toObj)) (catchHugsException0 vx4 vx5 vx6) vx5 (pt vx6 fromObj)",fontsize=16,color="green",shape="box"];11 -> 12[label="",style="dashed", color="green", weight=3];
9.81/4.23	11 -> 13[label="",style="dashed", color="green", weight=3];
9.81/4.23	11 -> 14[label="",style="dashed", color="green", weight=3];
9.81/4.23	12[label="vx30 Hugs_Error (pt Hugs_Return toObj)",fontsize=16,color="green",shape="box"];12 -> 15[label="",style="dashed", color="green", weight=3];
9.81/4.23	12 -> 16[label="",style="dashed", color="green", weight=3];
9.81/4.23	13[label="catchHugsException0 vx4 vx5 vx6",fontsize=16,color="grey",shape="box"];13 -> 17[label="",style="dashed", color="grey", weight=3];
9.81/4.23	14[label="pt vx6 fromObj",fontsize=16,color="grey",shape="box"];14 -> 18[label="",style="dashed", color="grey", weight=3];
9.81/4.23	15[label="Hugs_Error",fontsize=16,color="green",shape="box"];16[label="pt Hugs_Return toObj",fontsize=16,color="grey",shape="box"];16 -> 19[label="",style="dashed", color="grey", weight=3];
9.81/4.23	17[label="catchHugsException0 vx4 vx5 vx6 vx7",fontsize=16,color="black",shape="triangle"];17 -> 20[label="",style="solid", color="black", weight=3];
9.81/4.23	18[label="pt vx6 fromObj vx8",fontsize=16,color="black",shape="triangle"];18 -> 21[label="",style="solid", color="black", weight=3];
9.81/4.23	19[label="pt Hugs_Return toObj vx9",fontsize=16,color="black",shape="triangle"];19 -> 22[label="",style="solid", color="black", weight=3];
9.81/4.23	20 -> 23[label="",style="dashed", color="red", weight=0];
9.81/4.23	20[label="catchHugsException00 vx5 vx6 (vx4 vx7)",fontsize=16,color="magenta"];20 -> 24[label="",style="dashed", color="magenta", weight=3];
9.81/4.23	21[label="vx6 (fromObj vx8)",fontsize=16,color="green",shape="box"];21 -> 25[label="",style="dashed", color="green", weight=3];
9.81/4.23	22[label="Hugs_Return (toObj vx9)",fontsize=16,color="green",shape="box"];22 -> 26[label="",style="dashed", color="green", weight=3];
9.81/4.23	24[label="vx4 vx7",fontsize=16,color="green",shape="box"];24 -> 29[label="",style="dashed", color="green", weight=3];
9.81/4.23	23[label="catchHugsException00 vx5 vx6 vx10",fontsize=16,color="burlywood",shape="triangle"];36[label="vx10/IO vx100",fontsize=10,color="white",style="solid",shape="box"];23 -> 36[label="",style="solid", color="burlywood", weight=9];
9.81/4.23	36 -> 28[label="",style="solid", color="burlywood", weight=3];
9.81/4.23	25[label="fromObj vx8",fontsize=16,color="black",shape="triangle"];25 -> 30[label="",style="solid", color="black", weight=3];
9.81/4.23	26[label="toObj vx9",fontsize=16,color="black",shape="triangle"];26 -> 31[label="",style="solid", color="black", weight=3];
9.81/4.23	29[label="vx7",fontsize=16,color="green",shape="box"];28[label="catchHugsException00 vx5 vx6 (IO vx100)",fontsize=16,color="black",shape="box"];28 -> 32[label="",style="solid", color="black", weight=3];
9.81/4.23	30 -> 25[label="",style="dashed", color="red", weight=0];
9.81/4.23	30[label="fromObj vx8",fontsize=16,color="magenta"];31 -> 26[label="",style="dashed", color="red", weight=0];
9.81/4.23	31[label="toObj vx9",fontsize=16,color="magenta"];32[label="vx100 vx5 vx6",fontsize=16,color="green",shape="box"];32 -> 33[label="",style="dashed", color="green", weight=3];
9.81/4.23	32 -> 34[label="",style="dashed", color="green", weight=3];
9.81/4.23	33[label="vx5",fontsize=16,color="green",shape="box"];34[label="vx6",fontsize=16,color="green",shape="box"];}
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(6)
9.81/4.23	Complex Obligation (AND)
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(7)
9.81/4.23	Obligation:
9.81/4.23	Q DP problem:
9.81/4.23	The TRS P consists of the following rules:
9.81/4.23	
9.81/4.23	   new_fromObj(vx8, h, []) -> new_fromObj(vx8, h, [])
9.81/4.23	
9.81/4.23	R is empty.
9.81/4.23	Q is empty.
9.81/4.23	We have to consider all (P,Q,R)-chains.
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(8) NonTerminationLoopProof (COMPLETE)
9.81/4.23	We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
9.81/4.23	Found a loop by semiunifying a rule from P directly.
9.81/4.23	
9.81/4.23	s = new_fromObj(vx8, h, []) evaluates to  t =new_fromObj(vx8, h, [])
9.81/4.23	
9.81/4.23	Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
9.81/4.23	* Matcher: [ ]
9.81/4.23	* Semiunifier: [ ]
9.81/4.23	
9.81/4.23	--------------------------------------------------------------------------------
9.81/4.23	Rewriting sequence
9.81/4.23	
9.81/4.23	The DP semiunifies directly so there is only one rewrite step from new_fromObj(vx8, h, []) to new_fromObj(vx8, h, []).
9.81/4.23	
9.81/4.23	
9.81/4.23	
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(9)
9.81/4.23	NO
9.81/4.23	
9.81/4.23	----------------------------------------
9.81/4.23	
9.81/4.23	(10)
9.81/4.23	Obligation:
9.81/4.23	Q DP problem:
9.81/4.23	The TRS P consists of the following rules:
9.81/4.23	
9.81/4.23	   new_toObj(vx9, h, []) -> new_toObj(vx9, h, [])
9.81/4.23	
9.81/4.23	R is empty.
9.81/4.23	Q is empty.
9.81/4.23	We have to consider all (P,Q,R)-chains.
9.81/4.26	EOF