2.43/1.33	NO
2.75/1.34	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
2.75/1.34	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.75/1.34	
2.75/1.34	
2.75/1.34	Outermost Termination of the given OTRS could be disproven:
2.75/1.34	
2.75/1.34	(0) OTRS
2.75/1.34	(1) OutermostNonTerminationProof [COMPLETE, 45 ms]
2.75/1.34	(2) NO
2.75/1.34	
2.75/1.34	
2.75/1.34	----------------------------------------
2.75/1.34	
2.75/1.34	(0)
2.75/1.34	Obligation:
2.75/1.34	Term rewrite system R:
2.75/1.34	The TRS R consists of the following rules:
2.75/1.34	
2.75/1.34	   *(X, +(Y, 1)) -> +(*(X, +(Y, *(1, 0))), X)
2.75/1.34	   *(X, 1) -> X
2.75/1.34	   *(X, 0) -> X
2.75/1.34	   *(X, 0) -> 0
2.75/1.34	
2.75/1.34	
2.75/1.34	
2.75/1.34	Outermost Strategy.
2.75/1.34	
2.75/1.34	----------------------------------------
2.75/1.34	
2.75/1.34	(1) OutermostNonTerminationProof (COMPLETE)
2.75/1.34	Term rewrite system R:
2.75/1.34	The TRS R consists of the following rules:
2.75/1.34	
2.75/1.34	   *(X, +(Y, 1)) -> +(*(X, +(Y, *(1, 0))), X)
2.75/1.34	   *(X, 1) -> X
2.75/1.34	   *(X, 0) -> X
2.75/1.34	   *(X, 0) -> 0
2.75/1.34	
2.75/1.34	
2.75/1.34	
2.75/1.34	Outermost Strategy.
2.75/1.34	
2.75/1.34	---------- Loop: ----------
2.75/1.34	
2.75/1.34	*(X, +(Y, *(1, 0))) -> *(X, +(Y, 1)) with rule *(X', 0) -> X' at position [1,1] and matcher [X' / 1]
2.75/1.34	
2.75/1.34	*(X, +(Y, 1)) -> +(*(X, +(Y, *(1, 0))), X) with rule *(X', +(Y', 1)) -> +(*(X', +(Y', *(1, 0))), X') at position [] and matcher [X' / X, Y' / Y]
2.75/1.34	
2.75/1.34	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0].
2.75/1.34	
2.75/1.34	Context: +([], X)
2.75/1.34	
2.75/1.34	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.75/1.34	----------------------------------------
2.75/1.34	
2.75/1.34	(2)
2.75/1.34	NO
2.75/1.37	EOF