7.87/3.58	YES
9.76/4.09	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.76/4.09	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.76/4.09	
9.76/4.09	
9.76/4.09	H-Termination with start terms of the given HASKELL could be proven:
9.76/4.09	
9.76/4.09	(0) HASKELL
9.76/4.09	(1) LR [EQUIVALENT, 0 ms]
9.76/4.09	(2) HASKELL
9.76/4.09	(3) BR [EQUIVALENT, 0 ms]
9.76/4.09	(4) HASKELL
9.76/4.09	(5) COR [EQUIVALENT, 0 ms]
9.76/4.09	(6) HASKELL
9.76/4.09	(7) Narrow [EQUIVALENT, 30 ms]
9.76/4.09	(8) YES
9.76/4.09	
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(0)
9.76/4.09	Obligation:
9.76/4.09	mainModule Main 
9.76/4.09	module Main where {
9.76/4.09	import qualified Prelude;
9.76/4.09	}
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(1) LR (EQUIVALENT)
9.76/4.09	Lambda Reductions:
9.76/4.09	The following Lambda expression
9.76/4.09	"\_->q"
9.76/4.09	is transformed to
9.76/4.09	"gtGt0 q _ = q;
9.76/4.09	"
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(2)
9.76/4.09	Obligation:
9.76/4.09	mainModule Main 
9.76/4.09	module Main where {
9.76/4.09	import qualified Prelude;
9.76/4.09	}
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(3) BR (EQUIVALENT)
9.76/4.09	Replaced joker patterns by fresh variables and removed binding patterns.
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(4)
9.76/4.09	Obligation:
9.76/4.09	mainModule Main 
9.76/4.09	module Main where {
9.76/4.09	import qualified Prelude;
9.76/4.09	}
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(5) COR (EQUIVALENT)
9.76/4.09	Cond Reductions:
9.76/4.09	The following Function with conditions
9.76/4.09	"undefined |Falseundefined;
9.76/4.09	"
9.76/4.09	is transformed to
9.76/4.09	"undefined  = undefined1;
9.76/4.09	"
9.76/4.09	"undefined0 True = undefined;
9.76/4.09	"
9.76/4.09	"undefined1  = undefined0 False;
9.76/4.09	"
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(6)
9.76/4.09	Obligation:
9.76/4.09	mainModule Main 
9.76/4.09	module Main where {
9.76/4.09	import qualified Prelude;
9.76/4.09	}
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(7) Narrow (EQUIVALENT)
9.76/4.09	Haskell To QDPs
9.76/4.09	
9.76/4.09	digraph dp_graph {
9.76/4.09	node [outthreshold=100, inthreshold=100];1[label="(>>)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.76/4.09	3[label="(>>) vy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.76/4.09	4[label="(>>) vy3 vy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.76/4.09	5[label="vy3 >>= gtGt0 vy4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.76/4.09	6[label="primbindIO vy3 (gtGt0 vy4)",fontsize=16,color="burlywood",shape="box"];16[label="vy3/IO vy30",fontsize=10,color="white",style="solid",shape="box"];6 -> 16[label="",style="solid", color="burlywood", weight=9];
9.76/4.09	16 -> 7[label="",style="solid", color="burlywood", weight=3];
9.76/4.09	17[label="vy3/AProVE_IO vy30",fontsize=10,color="white",style="solid",shape="box"];6 -> 17[label="",style="solid", color="burlywood", weight=9];
9.76/4.09	17 -> 8[label="",style="solid", color="burlywood", weight=3];
9.76/4.09	18[label="vy3/AProVE_Exception vy30",fontsize=10,color="white",style="solid",shape="box"];6 -> 18[label="",style="solid", color="burlywood", weight=9];
9.76/4.09	18 -> 9[label="",style="solid", color="burlywood", weight=3];
9.76/4.09	19[label="vy3/AProVE_Error vy30",fontsize=10,color="white",style="solid",shape="box"];6 -> 19[label="",style="solid", color="burlywood", weight=9];
9.76/4.09	19 -> 10[label="",style="solid", color="burlywood", weight=3];
9.76/4.09	7[label="primbindIO (IO vy30) (gtGt0 vy4)",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3];
9.76/4.09	8[label="primbindIO (AProVE_IO vy30) (gtGt0 vy4)",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3];
9.76/4.09	9[label="primbindIO (AProVE_Exception vy30) (gtGt0 vy4)",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3];
9.76/4.09	10[label="primbindIO (AProVE_Error vy30) (gtGt0 vy4)",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3];
9.76/4.09	11[label="error []",fontsize=16,color="red",shape="box"];12[label="gtGt0 vy4 vy30",fontsize=16,color="black",shape="box"];12 -> 15[label="",style="solid", color="black", weight=3];
9.76/4.09	13[label="AProVE_Exception vy30",fontsize=16,color="green",shape="box"];14[label="AProVE_Error vy30",fontsize=16,color="green",shape="box"];15[label="vy4",fontsize=16,color="green",shape="box"];}
9.76/4.09	
9.76/4.09	----------------------------------------
9.76/4.09	
9.76/4.09	(8)
9.76/4.09	YES
9.90/4.13	EOF