3.09/1.92	WORST_CASE(NON_POLY, ?)
3.09/1.93	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.09/1.93	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.09/1.93	
3.09/1.93	
3.09/1.93	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.09/1.93	
3.09/1.93	(0) CpxTRS
3.09/1.93	(1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 4 ms]
3.09/1.93	(2) TRS for Loop Detection
3.09/1.93	(3) InfiniteLowerBoundProof [FINISHED, 0 ms]
3.09/1.93	(4) BOUNDS(INF, INF)
3.09/1.93	
3.09/1.93	
3.09/1.93	----------------------------------------
3.09/1.93	
3.09/1.93	(0)
3.09/1.93	Obligation:
3.09/1.93	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.09/1.93	
3.09/1.93	
3.09/1.93	The TRS R consists of the following rules:
3.09/1.93	
3.09/1.93	   f -> f
3.09/1.93	
3.09/1.93	S is empty.
3.09/1.93	Rewrite Strategy: FULL
3.09/1.93	----------------------------------------
3.09/1.93	
3.09/1.93	(1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
3.09/1.93	Transformed a relative TRS into a decreasing-loop problem.
3.09/1.93	----------------------------------------
3.09/1.93	
3.09/1.93	(2)
3.09/1.93	Obligation:
3.09/1.93	Analyzing the following TRS for decreasing loops:
3.09/1.93	
3.09/1.93	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.09/1.93	
3.09/1.93	
3.09/1.93	The TRS R consists of the following rules:
3.09/1.93	
3.09/1.93	   f -> f
3.09/1.93	
3.09/1.93	S is empty.
3.09/1.93	Rewrite Strategy: FULL
3.09/1.93	----------------------------------------
3.09/1.93	
3.09/1.93	(3) InfiniteLowerBoundProof (FINISHED)
3.09/1.93	The following loop proves infinite runtime complexity:
3.09/1.93	
3.09/1.93	The rewrite sequence
3.09/1.93	
3.09/1.93	f ->^+ f
3.09/1.93	
3.09/1.93	gives rise to a decreasing loop by considering the right hand sides subterm at position [].
3.09/1.93	
3.09/1.93	The pumping substitution is [ ].
3.09/1.93	
3.09/1.93	The result substitution is [ ].
3.09/1.93	
3.09/1.93	
3.09/1.93	
3.09/1.93	
3.09/1.93	----------------------------------------
3.09/1.93	
3.09/1.93	(4)
3.09/1.93	BOUNDS(INF, INF)
3.09/1.96	EOF