7.45/3.49	YES
8.93/3.93	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.93/3.93	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.93/3.93	
8.93/3.93	
8.93/3.93	H-Termination with start terms of the given HASKELL could be proven:
8.93/3.93	
8.93/3.93	(0) HASKELL
8.93/3.93	(1) BR [EQUIVALENT, 0 ms]
8.93/3.93	(2) HASKELL
8.93/3.93	(3) COR [EQUIVALENT, 0 ms]
8.93/3.93	(4) HASKELL
8.93/3.93	(5) Narrow [EQUIVALENT, 0 ms]
8.93/3.93	(6) YES
8.93/3.93	
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(0)
8.93/3.93	Obligation:
8.93/3.93	mainModule Main 
8.93/3.93	module Main where {
8.93/3.93	import qualified Prelude;
8.93/3.93	}
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(1) BR (EQUIVALENT)
8.93/3.93	Replaced joker patterns by fresh variables and removed binding patterns.
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(2)
8.93/3.93	Obligation:
8.93/3.93	mainModule Main 
8.93/3.93	module Main where {
8.93/3.93	import qualified Prelude;
8.93/3.93	}
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(3) COR (EQUIVALENT)
8.93/3.93	Cond Reductions:
8.93/3.93	The following Function with conditions
8.93/3.93	"undefined |Falseundefined;
8.93/3.93	"
8.93/3.93	is transformed to
8.93/3.93	"undefined  = undefined1;
8.93/3.93	"
8.93/3.93	"undefined0 True = undefined;
8.93/3.93	"
8.93/3.93	"undefined1  = undefined0 False;
8.93/3.93	"
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(4)
8.93/3.93	Obligation:
8.93/3.93	mainModule Main 
8.93/3.93	module Main where {
8.93/3.93	import qualified Prelude;
8.93/3.93	}
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(5) Narrow (EQUIVALENT)
8.93/3.93	Haskell To QDPs
8.93/3.93	
8.93/3.93	digraph dp_graph {
8.93/3.93	node [outthreshold=100, inthreshold=100];1[label="fail",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.93/3.93	3[label="fail vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
8.93/3.93	4[label="Nothing",fontsize=16,color="green",shape="box"];}
8.93/3.93	
8.93/3.93	----------------------------------------
8.93/3.93	
8.93/3.93	(6)
8.93/3.93	YES
8.93/3.96	EOF