8.18/4.50	YES
9.58/4.92	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.58/4.92	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.58/4.92	
9.58/4.92	
9.58/4.92	H-Termination with start terms of the given HASKELL could be proven:
9.58/4.92	
9.58/4.92	(0) HASKELL
9.58/4.92	(1) BR [EQUIVALENT, 0 ms]
9.58/4.92	(2) HASKELL
9.58/4.92	(3) COR [EQUIVALENT, 0 ms]
9.58/4.92	(4) HASKELL
9.58/4.92	(5) Narrow [EQUIVALENT, 13 ms]
9.58/4.92	(6) YES
9.58/4.92	
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(0)
9.58/4.92	Obligation:
9.58/4.92	mainModule Main 
9.58/4.92	module Main where {
9.58/4.92	import qualified Prelude;
9.58/4.92	}
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(1) BR (EQUIVALENT)
9.58/4.92	Replaced joker patterns by fresh variables and removed binding patterns.
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(2)
9.58/4.92	Obligation:
9.58/4.92	mainModule Main 
9.58/4.92	module Main where {
9.58/4.92	import qualified Prelude;
9.58/4.92	}
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(3) COR (EQUIVALENT)
9.58/4.92	Cond Reductions:
9.58/4.92	The following Function with conditions
9.58/4.92	"undefined |Falseundefined;
9.58/4.92	"
9.58/4.92	is transformed to
9.58/4.92	"undefined  = undefined1;
9.58/4.92	"
9.58/4.92	"undefined0 True = undefined;
9.58/4.92	"
9.58/4.92	"undefined1  = undefined0 False;
9.58/4.92	"
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(4)
9.58/4.92	Obligation:
9.58/4.92	mainModule Main 
9.58/4.92	module Main where {
9.58/4.92	import qualified Prelude;
9.58/4.92	}
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(5) Narrow (EQUIVALENT)
9.58/4.92	Haskell To QDPs
9.58/4.92	
9.58/4.92	digraph dp_graph {
9.58/4.92	node [outthreshold=100, inthreshold=100];1[label="asTypeOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.58/4.92	3[label="asTypeOf vy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.58/4.92	4[label="asTypeOf vy3 vy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.58/4.92	5[label="const vy3 vy4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.58/4.92	6[label="vy3",fontsize=16,color="green",shape="box"];}
9.58/4.92	
9.58/4.92	----------------------------------------
9.58/4.92	
9.58/4.92	(6)
9.58/4.92	YES
9.67/5.43	EOF