3.06/1.70	WORST_CASE(NON_POLY, ?)
3.06/1.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.06/1.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.06/1.71	
3.06/1.71	
3.06/1.71	The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.06/1.71	
3.06/1.71	(0) CpxTRS
3.06/1.71	(1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
3.06/1.71	(2) TRS for Loop Detection
3.06/1.71	(3) InfiniteLowerBoundProof [FINISHED, 0 ms]
3.06/1.71	(4) BOUNDS(INF, INF)
3.06/1.71	
3.06/1.71	
3.06/1.71	----------------------------------------
3.06/1.71	
3.06/1.71	(0)
3.06/1.71	Obligation:
3.06/1.71	The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.06/1.71	
3.06/1.71	
3.06/1.71	The TRS R consists of the following rules:
3.06/1.71	
3.06/1.71	   f -> f
3.06/1.71	
3.06/1.71	S is empty.
3.06/1.71	Rewrite Strategy: INNERMOST
3.06/1.71	----------------------------------------
3.06/1.71	
3.06/1.71	(1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
3.06/1.71	Transformed a relative TRS into a decreasing-loop problem.
3.06/1.71	----------------------------------------
3.06/1.71	
3.06/1.71	(2)
3.06/1.71	Obligation:
3.06/1.71	Analyzing the following TRS for decreasing loops:
3.06/1.71	
3.06/1.71	The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.06/1.71	
3.06/1.71	
3.06/1.71	The TRS R consists of the following rules:
3.06/1.71	
3.06/1.71	   f -> f
3.06/1.71	
3.06/1.71	S is empty.
3.06/1.71	Rewrite Strategy: INNERMOST
3.06/1.71	----------------------------------------
3.06/1.71	
3.06/1.71	(3) InfiniteLowerBoundProof (FINISHED)
3.06/1.71	The following loop proves infinite runtime complexity:
3.06/1.71	
3.06/1.71	The rewrite sequence
3.06/1.71	
3.06/1.71	f ->^+ f
3.06/1.71	
3.06/1.71	gives rise to a decreasing loop by considering the right hand sides subterm at position [].
3.06/1.71	
3.06/1.71	The pumping substitution is [ ].
3.06/1.71	
3.06/1.71	The result substitution is [ ].
3.06/1.71	
3.06/1.71	
3.06/1.71	
3.06/1.71	
3.06/1.71	----------------------------------------
3.06/1.71	
3.06/1.71	(4)
3.06/1.71	BOUNDS(INF, INF)
3.25/1.90	EOF