8.49/3.67	NO
10.42/4.26	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.42/4.26	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.42/4.26	
10.42/4.26	
10.42/4.26	H-Termination with start terms of the given HASKELL could be disproven:
10.42/4.26	
10.42/4.26	(0) HASKELL
10.42/4.26	(1) LR [EQUIVALENT, 0 ms]
10.42/4.26	(2) HASKELL
10.42/4.26	(3) BR [EQUIVALENT, 0 ms]
10.42/4.26	(4) HASKELL
10.42/4.26	(5) COR [EQUIVALENT, 0 ms]
10.42/4.26	(6) HASKELL
10.42/4.26	(7) LetRed [EQUIVALENT, 0 ms]
10.42/4.26	(8) HASKELL
10.42/4.26	(9) Narrow [COMPLETE, 0 ms]
10.42/4.26	(10) QDP
10.42/4.26	(11) NonTerminationLoopProof [COMPLETE, 0 ms]
10.42/4.26	(12) NO
10.42/4.26	
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(0)
10.42/4.26	Obligation:
10.42/4.26	mainModule Main 
10.42/4.26	module Main where {
10.42/4.26	import qualified Prelude;
10.42/4.26	}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(1) LR (EQUIVALENT)
10.42/4.26	Lambda Reductions:
10.42/4.26	The following Lambda expression
10.42/4.26	"\fs->Hugs_BlockThread (s . fromObj) m'"
10.42/4.26	is transformed to
10.42/4.26	"blockIO0 f s = Hugs_BlockThread (s . fromObj) m';
10.42/4.26	"
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(2)
10.42/4.26	Obligation:
10.42/4.26	mainModule Main 
10.42/4.26	module Main where {
10.42/4.26	import qualified Prelude;
10.42/4.26	}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(3) BR (EQUIVALENT)
10.42/4.26	Replaced joker patterns by fresh variables and removed binding patterns.
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(4)
10.42/4.26	Obligation:
10.42/4.26	mainModule Main 
10.42/4.26	module Main where {
10.42/4.26	import qualified Prelude;
10.42/4.26	}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(5) COR (EQUIVALENT)
10.42/4.26	Cond Reductions:
10.42/4.26	The following Function with conditions
10.42/4.26	"undefined |Falseundefined;
10.42/4.26	"
10.42/4.26	is transformed to
10.42/4.26	"undefined  = undefined1;
10.42/4.26	"
10.42/4.26	"undefined0 True = undefined;
10.42/4.26	"
10.42/4.26	"undefined1  = undefined0 False;
10.42/4.26	"
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(6)
10.42/4.26	Obligation:
10.42/4.26	mainModule Main 
10.42/4.26	module Main where {
10.42/4.26	import qualified Prelude;
10.42/4.26	}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(7) LetRed (EQUIVALENT)
10.42/4.26	Let/Where Reductions:
10.42/4.26	The bindings of the following Let/Where expression
10.42/4.26	"IO blockIO0 where {
10.42/4.26	blockIO0 f s = Hugs_BlockThread (s . fromObj) m';
10.42/4.26	;
10.42/4.26	m' k = threadToIOResult (m (k . toObj));
10.42/4.26	} 
10.42/4.26	"
10.42/4.26	are unpacked to the following functions on top level
10.42/4.26	"blockIOBlockIO0 vy f s = Hugs_BlockThread (s . fromObj) (blockIOM' vy);
10.42/4.26	"
10.42/4.26	"blockIOM' vy k = threadToIOResult (vy (k . toObj));
10.42/4.26	"
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(8)
10.42/4.26	Obligation:
10.42/4.26	mainModule Main 
10.42/4.26	module Main where {
10.42/4.26	import qualified Prelude;
10.42/4.26	}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(9) Narrow (COMPLETE)
10.42/4.26	Haskell To QDPs
10.42/4.26	
10.42/4.26	digraph dp_graph {
10.42/4.26	node [outthreshold=100, inthreshold=100];1[label="blockIO",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.42/4.26	3[label="blockIO vz3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.42/4.26	4[label="IO (blockIOBlockIO0 vz3)",fontsize=16,color="green",shape="box"];4 -> 5[label="",style="dashed", color="green", weight=3];
10.42/4.26	5[label="blockIOBlockIO0 vz3",fontsize=16,color="grey",shape="box"];5 -> 6[label="",style="dashed", color="grey", weight=3];
10.42/4.26	6[label="blockIOBlockIO0 vz3 vz4",fontsize=16,color="grey",shape="box"];6 -> 7[label="",style="dashed", color="grey", weight=3];
10.42/4.26	7[label="blockIOBlockIO0 vz3 vz4 vz5",fontsize=16,color="black",shape="triangle"];7 -> 8[label="",style="solid", color="black", weight=3];
10.42/4.26	8[label="Hugs_BlockThread (vz5 . fromObj) (blockIOM' vz3)",fontsize=16,color="green",shape="box"];8 -> 9[label="",style="dashed", color="green", weight=3];
10.42/4.26	8 -> 10[label="",style="dashed", color="green", weight=3];
10.42/4.26	9[label="vz5 . fromObj",fontsize=16,color="grey",shape="box"];9 -> 11[label="",style="dashed", color="grey", weight=3];
10.42/4.26	10[label="blockIOM' vz3",fontsize=16,color="grey",shape="box"];10 -> 12[label="",style="dashed", color="grey", weight=3];
10.42/4.26	11[label="vz5 . fromObj",fontsize=16,color="black",shape="triangle"];11 -> 13[label="",style="solid", color="black", weight=3];
10.42/4.26	12[label="blockIOM' vz3 vz7",fontsize=16,color="black",shape="triangle"];12 -> 14[label="",style="solid", color="black", weight=3];
10.42/4.26	13[label="vz5 (fromObj vz6)",fontsize=16,color="green",shape="box"];13 -> 15[label="",style="dashed", color="green", weight=3];
10.42/4.26	14 -> 16[label="",style="dashed", color="red", weight=0];
10.42/4.26	14[label="threadToIOResult (vz3 (vz7 . toObj))",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3];
10.42/4.26	15[label="fromObj vz6",fontsize=16,color="black",shape="triangle"];15 -> 18[label="",style="solid", color="black", weight=3];
10.42/4.26	17[label="vz3 (vz7 . toObj)",fontsize=16,color="green",shape="box"];17 -> 24[label="",style="dashed", color="green", weight=3];
10.42/4.26	16[label="threadToIOResult vz8",fontsize=16,color="burlywood",shape="triangle"];39[label="vz8/IO vz80",fontsize=10,color="white",style="solid",shape="box"];16 -> 39[label="",style="solid", color="burlywood", weight=9];
10.42/4.26	39 -> 20[label="",style="solid", color="burlywood", weight=3];
10.42/4.26	40[label="vz8/AProVE_IO vz80",fontsize=10,color="white",style="solid",shape="box"];16 -> 40[label="",style="solid", color="burlywood", weight=9];
10.42/4.26	40 -> 21[label="",style="solid", color="burlywood", weight=3];
10.42/4.26	41[label="vz8/AProVE_Exception vz80",fontsize=10,color="white",style="solid",shape="box"];16 -> 41[label="",style="solid", color="burlywood", weight=9];
10.42/4.26	41 -> 22[label="",style="solid", color="burlywood", weight=3];
10.42/4.26	42[label="vz8/AProVE_Error vz80",fontsize=10,color="white",style="solid",shape="box"];16 -> 42[label="",style="solid", color="burlywood", weight=9];
10.42/4.26	42 -> 23[label="",style="solid", color="burlywood", weight=3];
10.42/4.26	18 -> 15[label="",style="dashed", color="red", weight=0];
10.42/4.26	18[label="fromObj vz6",fontsize=16,color="magenta"];24[label="vz7 . toObj",fontsize=16,color="grey",shape="box"];24 -> 30[label="",style="dashed", color="grey", weight=3];
10.42/4.26	20[label="threadToIOResult (IO vz80)",fontsize=16,color="black",shape="box"];20 -> 26[label="",style="solid", color="black", weight=3];
10.42/4.26	21[label="threadToIOResult (AProVE_IO vz80)",fontsize=16,color="black",shape="box"];21 -> 27[label="",style="solid", color="black", weight=3];
10.42/4.26	22[label="threadToIOResult (AProVE_Exception vz80)",fontsize=16,color="black",shape="box"];22 -> 28[label="",style="solid", color="black", weight=3];
10.42/4.26	23[label="threadToIOResult (AProVE_Error vz80)",fontsize=16,color="black",shape="box"];23 -> 29[label="",style="solid", color="black", weight=3];
10.42/4.26	30 -> 25[label="",style="dashed", color="red", weight=0];
10.42/4.26	30[label="vz7 . toObj",fontsize=16,color="magenta"];30 -> 34[label="",style="dashed", color="magenta", weight=3];
10.42/4.26	26[label="vz80 Hugs_Error (const Hugs_DeadThread)",fontsize=16,color="green",shape="box"];26 -> 32[label="",style="dashed", color="green", weight=3];
10.42/4.26	26 -> 33[label="",style="dashed", color="green", weight=3];
10.42/4.26	27[label="error []",fontsize=16,color="red",shape="box"];28[label="error []",fontsize=16,color="red",shape="box"];29[label="error []",fontsize=16,color="red",shape="box"];34[label="vz10",fontsize=16,color="green",shape="box"];25[label="vz7 . toObj",fontsize=16,color="black",shape="triangle"];25 -> 31[label="",style="solid", color="black", weight=3];
10.42/4.26	32[label="Hugs_Error",fontsize=16,color="green",shape="box"];33[label="const Hugs_DeadThread",fontsize=16,color="grey",shape="box"];33 -> 36[label="",style="dashed", color="grey", weight=3];
10.42/4.26	31[label="vz7 (toObj vz9)",fontsize=16,color="green",shape="box"];31 -> 35[label="",style="dashed", color="green", weight=3];
10.42/4.26	36[label="const Hugs_DeadThread vz11",fontsize=16,color="black",shape="triangle"];36 -> 38[label="",style="solid", color="black", weight=3];
10.42/4.26	35[label="toObj vz9",fontsize=16,color="black",shape="triangle"];35 -> 37[label="",style="solid", color="black", weight=3];
10.42/4.26	38[label="Hugs_DeadThread",fontsize=16,color="green",shape="box"];37 -> 35[label="",style="dashed", color="red", weight=0];
10.42/4.26	37[label="toObj vz9",fontsize=16,color="magenta"];}
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(10)
10.42/4.26	Obligation:
10.42/4.26	Q DP problem:
10.42/4.26	The TRS P consists of the following rules:
10.42/4.26	
10.42/4.26	   new_fromObj(vz6, h, []) -> new_fromObj(vz6, h, [])
10.42/4.26	
10.42/4.26	R is empty.
10.42/4.26	Q is empty.
10.42/4.26	We have to consider all (P,Q,R)-chains.
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(11) NonTerminationLoopProof (COMPLETE)
10.42/4.26	We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
10.42/4.26	Found a loop by semiunifying a rule from P directly.
10.42/4.26	
10.42/4.26	s = new_fromObj(vz6, h, []) evaluates to  t =new_fromObj(vz6, h, [])
10.42/4.26	
10.42/4.26	Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
10.42/4.26	* Matcher: [ ]
10.42/4.26	* Semiunifier: [ ]
10.42/4.26	
10.42/4.26	--------------------------------------------------------------------------------
10.42/4.26	Rewriting sequence
10.42/4.26	
10.42/4.26	The DP semiunifies directly so there is only one rewrite step from new_fromObj(vz6, h, []) to new_fromObj(vz6, h, []).
10.42/4.26	
10.42/4.26	
10.42/4.26	
10.42/4.26	
10.42/4.26	----------------------------------------
10.42/4.26	
10.42/4.26	(12)
10.42/4.26	NO
10.72/4.31	EOF