2.45/1.24	NO
2.45/1.25	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.45/1.25	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.45/1.25	
2.45/1.25	
2.45/1.25	Outermost Termination of the given OTRS could be disproven:
2.45/1.25	
2.45/1.25	(0) OTRS
2.45/1.25	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.45/1.25	(2) NO
2.45/1.25	
2.45/1.25	
2.45/1.25	----------------------------------------
2.45/1.25	
2.45/1.25	(0)
2.45/1.25	Obligation:
2.45/1.25	Term rewrite system R:
2.45/1.25	The TRS R consists of the following rules:
2.45/1.25	
2.45/1.25	   hd(cons) -> X
2.45/1.25	   tl(cons) -> Y
2.45/1.25	   nats -> adx(zeros)
2.45/1.25	   zeros -> cons
2.45/1.25	   incr(cons) -> cons
2.45/1.25	   adx(cons) -> incr(cons)
2.45/1.25	
2.45/1.25	
2.45/1.25	
2.45/1.25	Outermost Strategy.
2.45/1.25	
2.45/1.25	----------------------------------------
2.45/1.25	
2.45/1.25	(1) OutermostNonTerminationProof (COMPLETE)
2.45/1.25	Term rewrite system R:
2.45/1.25	The TRS R consists of the following rules:
2.45/1.25	
2.45/1.25	   hd(cons) -> X
2.45/1.25	   tl(cons) -> Y
2.45/1.25	   nats -> adx(zeros)
2.45/1.25	   zeros -> cons
2.45/1.25	   incr(cons) -> cons
2.45/1.25	   adx(cons) -> incr(cons)
2.45/1.25	
2.45/1.25	
2.45/1.25	
2.45/1.25	Outermost Strategy.
2.45/1.25	
2.45/1.25	---------- Loop: ----------
2.45/1.25	
2.45/1.25	hd(cons) -> hd(cons) with rule hd(cons) -> X at position [] and matcher [X / hd(cons)]
2.45/1.25	
2.45/1.25	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
2.45/1.25	
2.45/1.25	Context: []
2.45/1.25	
2.45/1.25	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.45/1.25	----------------------------------------
2.45/1.25	
2.45/1.25	(2)
2.45/1.25	NO
2.45/1.28	EOF