7.71/3.48	YES
9.54/3.95	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.54/3.95	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.54/3.95	
9.54/3.95	
9.54/3.95	H-Termination with start terms of the given HASKELL could be proven:
9.54/3.95	
9.54/3.95	(0) HASKELL
9.54/3.95	(1) BR [EQUIVALENT, 0 ms]
9.54/3.95	(2) HASKELL
9.54/3.95	(3) COR [EQUIVALENT, 0 ms]
9.54/3.95	(4) HASKELL
9.54/3.95	(5) Narrow [EQUIVALENT, 19 ms]
9.54/3.95	(6) YES
9.54/3.95	
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(0)
9.54/3.95	Obligation:
9.54/3.95	mainModule Main 
9.54/3.95	module Main where {
9.54/3.95	import qualified Prelude;
9.54/3.95	}
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(1) BR (EQUIVALENT)
9.54/3.95	Replaced joker patterns by fresh variables and removed binding patterns.
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(2)
9.54/3.95	Obligation:
9.54/3.95	mainModule Main 
9.54/3.95	module Main where {
9.54/3.95	import qualified Prelude;
9.54/3.95	}
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(3) COR (EQUIVALENT)
9.54/3.95	Cond Reductions:
9.54/3.95	The following Function with conditions
9.54/3.95	"undefined |Falseundefined;
9.54/3.95	"
9.54/3.95	is transformed to
9.54/3.95	"undefined  = undefined1;
9.54/3.95	"
9.54/3.95	"undefined0 True = undefined;
9.54/3.95	"
9.54/3.95	"undefined1  = undefined0 False;
9.54/3.95	"
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(4)
9.54/3.95	Obligation:
9.54/3.95	mainModule Main 
9.54/3.95	module Main where {
9.54/3.95	import qualified Prelude;
9.54/3.95	}
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(5) Narrow (EQUIVALENT)
9.54/3.95	Haskell To QDPs
9.54/3.95	
9.54/3.95	digraph dp_graph {
9.54/3.95	node [outthreshold=100, inthreshold=100];1[label="showsPrec",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.54/3.95	3[label="showsPrec vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.54/3.95	4[label="showsPrec vx3 vx4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3];
9.54/3.95	5[label="showsPrec vx3 vx4 vx5",fontsize=16,color="black",shape="triangle"];5 -> 6[label="",style="solid", color="black", weight=3];
9.54/3.95	6[label="primShowsFloat vx3 vx4 vx5",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.54/3.95	7[label="terminator vx3 vx4 vx5",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
9.54/3.95	8[label="ter0m vx3 vx4 vx5",fontsize=16,color="green",shape="box"];8 -> 9[label="",style="dashed", color="green", weight=3];
9.54/3.95	8 -> 10[label="",style="dashed", color="green", weight=3];
9.54/3.95	8 -> 11[label="",style="dashed", color="green", weight=3];
9.54/3.95	9[label="vx3",fontsize=16,color="green",shape="box"];10[label="vx4",fontsize=16,color="green",shape="box"];11[label="vx5",fontsize=16,color="green",shape="box"];}
9.54/3.95	
9.54/3.95	----------------------------------------
9.54/3.95	
9.54/3.95	(6)
9.54/3.95	YES
9.54/4.01	EOF