3.48/1.61	NO
3.48/1.63	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.48/1.63	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.48/1.63	
3.48/1.63	
3.48/1.63	Termination of the given RelTRS could be disproven:
3.48/1.63	
3.48/1.63	(0) RelTRS
3.48/1.63	(1) RelTRSLoopFinderProof [COMPLETE, 24 ms]
3.48/1.63	(2) NO
3.48/1.63	
3.48/1.63	
3.48/1.63	----------------------------------------
3.48/1.63	
3.48/1.63	(0)
3.48/1.63	Obligation:
3.48/1.63	Relative term rewrite system:
3.48/1.63	The relative TRS consists of the following R rules:
3.48/1.63	
3.48/1.63	   p(0, y) -> y
3.48/1.63	   p(s(x), y) -> s(p(x, y))
3.48/1.63	
3.48/1.63	The relative TRS consists of the following S rules:
3.48/1.63	
3.48/1.63	   p(x, y) -> s(p(x, y))
3.48/1.63	
3.48/1.63	
3.48/1.63	----------------------------------------
3.48/1.63	
3.48/1.63	(1) RelTRSLoopFinderProof (COMPLETE)
3.48/1.63	The following loop was found:
3.48/1.63	
3.48/1.63	---------- Loop: ----------
3.48/1.63	
3.48/1.63	p(p(x', y'), y) -> p(s(p(x', y')), y) with rule p(x'', y'') -> s(p(x'', y'')) at position [0] and matcher [x'' / x', y'' / y']
3.48/1.63	
3.48/1.63	p(s(p(x', y')), y) -> s(p(p(x', y'), y)) with rule p(s(x), y'') -> s(p(x, y'')) at position [] and matcher [x / p(x', y'), y'' / y]
3.48/1.63	
3.48/1.63	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0].
3.48/1.63	
3.48/1.63	Context: s([])
3.48/1.63	
3.48/1.63	Therefore, the relative TRS problem does not terminate.
3.48/1.63	----------------------------------------
3.48/1.63	
3.48/1.63	(2)
3.48/1.63	NO
3.48/1.66	EOF