3.69/1.68	NO
3.69/1.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.69/1.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.69/1.71	
3.69/1.71	
3.69/1.71	Termination of the given RelTRS could be disproven:
3.69/1.71	
3.69/1.71	(0) RelTRS
3.69/1.71	(1) RelTRSLoopFinderProof [COMPLETE, 28 ms]
3.69/1.71	(2) NO
3.69/1.71	
3.69/1.71	
3.69/1.71	----------------------------------------
3.69/1.71	
3.69/1.71	(0)
3.69/1.71	Obligation:
3.69/1.71	Relative term rewrite system:
3.69/1.71	The relative TRS consists of the following R rules:
3.69/1.71	
3.69/1.71	   -(x, 0) -> x
3.69/1.71	   -(s(x), s(y)) -> -(x, y)
3.69/1.71	   quot(0, s(y)) -> 0
3.69/1.71	   quot(s(x), s(y)) -> s(quot(-(x, y), s(y)))
3.69/1.71	
3.69/1.71	The relative TRS consists of the following S rules:
3.69/1.71	
3.69/1.71	   gen -> 0
3.69/1.71	   gen -> s(gen)
3.69/1.71	
3.69/1.71	
3.69/1.71	----------------------------------------
3.69/1.71	
3.69/1.71	(1) RelTRSLoopFinderProof (COMPLETE)
3.69/1.71	The following loop was found:
3.69/1.71	
3.69/1.71	---------- Loop: ----------
3.69/1.71	
3.69/1.71	-(gen, gen) -> -(gen, s(gen)) with rule gen -> s(gen) at position [1] and matcher [ ]
3.69/1.71	
3.69/1.71	-(gen, s(gen)) -> -(s(gen), s(gen)) with rule gen -> s(gen) at position [0] and matcher [ ]
3.69/1.71	
3.69/1.71	-(s(gen), s(gen)) -> -(gen, gen) with rule -(s(x), s(y)) -> -(x, y) at position [] and matcher [x / gen, y / gen]
3.69/1.71	
3.69/1.71	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
3.69/1.71	
3.69/1.71	Context: []
3.69/1.71	
3.69/1.71	Therefore, the relative TRS problem does not terminate.
3.69/1.71	----------------------------------------
3.69/1.71	
3.69/1.71	(2)
3.69/1.71	NO
3.95/1.75	EOF