7.75/3.49	YES
9.54/3.99	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.54/3.99	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.54/3.99	
9.54/3.99	
9.54/3.99	H-Termination with start terms of the given HASKELL could be proven:
9.54/3.99	
9.54/3.99	(0) HASKELL
9.54/3.99	(1) LR [EQUIVALENT, 0 ms]
9.54/3.99	(2) HASKELL
9.54/3.99	(3) BR [EQUIVALENT, 0 ms]
9.54/3.99	(4) HASKELL
9.54/3.99	(5) COR [EQUIVALENT, 0 ms]
9.54/3.99	(6) HASKELL
9.54/3.99	(7) Narrow [EQUIVALENT, 29 ms]
9.54/3.99	(8) YES
9.54/3.99	
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(0)
9.54/3.99	Obligation:
9.54/3.99	mainModule Main 
9.54/3.99	module Main where {
9.54/3.99	import qualified Prelude;
9.54/3.99	}
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(1) LR (EQUIVALENT)
9.54/3.99	Lambda Reductions:
9.54/3.99	The following Lambda expression
9.54/3.99	"\_->q"
9.54/3.99	is transformed to
9.54/3.99	"gtGt0 q _ = q;
9.54/3.99	"
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(2)
9.54/3.99	Obligation:
9.54/3.99	mainModule Main 
9.54/3.99	module Main where {
9.54/3.99	import qualified Prelude;
9.54/3.99	}
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(3) BR (EQUIVALENT)
9.54/3.99	Replaced joker patterns by fresh variables and removed binding patterns.
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(4)
9.54/3.99	Obligation:
9.54/3.99	mainModule Main 
9.54/3.99	module Main where {
9.54/3.99	import qualified Prelude;
9.54/3.99	}
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(5) COR (EQUIVALENT)
9.54/3.99	Cond Reductions:
9.54/3.99	The following Function with conditions
9.54/3.99	"undefined |Falseundefined;
9.54/3.99	"
9.54/3.99	is transformed to
9.54/3.99	"undefined  = undefined1;
9.54/3.99	"
9.54/3.99	"undefined0 True = undefined;
9.54/3.99	"
9.54/3.99	"undefined1  = undefined0 False;
9.54/3.99	"
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(6)
9.54/3.99	Obligation:
9.54/3.99	mainModule Main 
9.54/3.99	module Main where {
9.54/3.99	import qualified Prelude;
9.54/3.99	}
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(7) Narrow (EQUIVALENT)
9.54/3.99	Haskell To QDPs
9.54/3.99	
9.54/3.99	digraph dp_graph {
9.54/3.99	node [outthreshold=100, inthreshold=100];1[label="(>>)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.54/3.99	3[label="(>>) vy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.54/3.99	4[label="(>>) vy3 vy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.54/3.99	5[label="vy3 >>= gtGt0 vy4",fontsize=16,color="burlywood",shape="box"];11[label="vy3/Nothing",fontsize=10,color="white",style="solid",shape="box"];5 -> 11[label="",style="solid", color="burlywood", weight=9];
9.54/3.99	11 -> 6[label="",style="solid", color="burlywood", weight=3];
9.54/3.99	12[label="vy3/Just vy30",fontsize=10,color="white",style="solid",shape="box"];5 -> 12[label="",style="solid", color="burlywood", weight=9];
9.54/3.99	12 -> 7[label="",style="solid", color="burlywood", weight=3];
9.54/3.99	6[label="Nothing >>= gtGt0 vy4",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
9.54/3.99	7[label="Just vy30 >>= gtGt0 vy4",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
9.54/3.99	8[label="Nothing",fontsize=16,color="green",shape="box"];9[label="gtGt0 vy4 vy30",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
9.54/3.99	10[label="vy4",fontsize=16,color="green",shape="box"];}
9.54/3.99	
9.54/3.99	----------------------------------------
9.54/3.99	
9.54/3.99	(8)
9.54/3.99	YES
9.67/4.04	EOF