7.97/3.47	YES
9.82/3.98	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.82/3.98	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.82/3.98	
9.82/3.98	
9.82/3.98	H-Termination with start terms of the given HASKELL could be proven:
9.82/3.98	
9.82/3.98	(0) HASKELL
9.82/3.98	(1) BR [EQUIVALENT, 0 ms]
9.82/3.98	(2) HASKELL
9.82/3.98	(3) COR [EQUIVALENT, 0 ms]
9.82/3.98	(4) HASKELL
9.82/3.98	(5) NumRed [SOUND, 0 ms]
9.82/3.98	(6) HASKELL
9.82/3.98	(7) Narrow [EQUIVALENT, 25 ms]
9.82/3.98	(8) YES
9.82/3.98	
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(0)
9.82/3.98	Obligation:
9.82/3.98	mainModule Main 
9.82/3.98	module Main where {
9.82/3.98	import qualified Prelude;
9.82/3.98	}
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(1) BR (EQUIVALENT)
9.82/3.98	Replaced joker patterns by fresh variables and removed binding patterns.
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(2)
9.82/3.98	Obligation:
9.82/3.98	mainModule Main 
9.82/3.98	module Main where {
9.82/3.98	import qualified Prelude;
9.82/3.98	}
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(3) COR (EQUIVALENT)
9.82/3.98	Cond Reductions:
9.82/3.98	The following Function with conditions
9.82/3.98	"undefined |Falseundefined;
9.82/3.98	"
9.82/3.98	is transformed to
9.82/3.98	"undefined  = undefined1;
9.82/3.98	"
9.82/3.98	"undefined0 True = undefined;
9.82/3.98	"
9.82/3.98	"undefined1  = undefined0 False;
9.82/3.98	"
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(4)
9.82/3.98	Obligation:
9.82/3.98	mainModule Main 
9.82/3.98	module Main where {
9.82/3.98	import qualified Prelude;
9.82/3.98	}
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(5) NumRed (SOUND)
9.82/3.98	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(6)
9.82/3.98	Obligation:
9.82/3.98	mainModule Main 
9.82/3.98	module Main where {
9.82/3.98	import qualified Prelude;
9.82/3.98	}
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(7) Narrow (EQUIVALENT)
9.82/3.98	Haskell To QDPs
9.82/3.98	
9.82/3.98	digraph dp_graph {
9.82/3.98	node [outthreshold=100, inthreshold=100];1[label="minBound",fontsize=16,color="black",shape="box"];1 -> 3[label="",style="solid", color="black", weight=3];
9.82/3.98	3[label="Char Zero",fontsize=16,color="green",shape="box"];}
9.82/3.98	
9.82/3.98	----------------------------------------
9.82/3.98	
9.82/3.98	(8)
9.82/3.98	YES
10.11/4.02	EOF