2.34/1.21	NO
2.34/1.21	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.34/1.21	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.34/1.21	
2.34/1.21	
2.34/1.21	Outermost Termination of the given OTRS could be disproven:
2.34/1.21	
2.34/1.21	(0) OTRS
2.34/1.21	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.34/1.21	(2) NO
2.34/1.21	
2.34/1.21	
2.34/1.21	----------------------------------------
2.34/1.21	
2.34/1.21	(0)
2.34/1.21	Obligation:
2.34/1.21	Term rewrite system R:
2.34/1.21	The TRS R consists of the following rules:
2.34/1.21	
2.34/1.21	   f(x, a) -> f(x, b)
2.34/1.21	   b -> a
2.34/1.21	   f(a, x) -> a
2.34/1.21	   f(b, x) -> a
2.34/1.21	   f(f(x, y), z) -> a
2.34/1.21	
2.34/1.21	
2.34/1.21	
2.34/1.21	Outermost Strategy.
2.34/1.21	
2.34/1.21	----------------------------------------
2.34/1.21	
2.34/1.21	(1) OutermostNonTerminationProof (COMPLETE)
2.34/1.21	Term rewrite system R:
2.34/1.21	The TRS R consists of the following rules:
2.34/1.21	
2.34/1.21	   f(x, a) -> f(x, b)
2.34/1.21	   b -> a
2.34/1.21	   f(a, x) -> a
2.34/1.21	   f(b, x) -> a
2.34/1.21	   f(f(x, y), z) -> a
2.34/1.21	
2.34/1.21	
2.34/1.21	
2.34/1.21	Outermost Strategy.
2.34/1.21	
2.34/1.21	---------- Loop: ----------
2.34/1.21	
2.34/1.21	f(x, b) -> f(x, a) with rule b -> a at position [1] and matcher [ ]
2.34/1.21	
2.34/1.21	f(x, a) -> f(x, b) with rule f(x', a) -> f(x', b) at position [] and matcher [x' / x]
2.34/1.21	
2.34/1.21	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
2.34/1.21	
2.34/1.21	Context: []
2.34/1.21	
2.34/1.21	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.34/1.21	----------------------------------------
2.34/1.21	
2.34/1.21	(2)
2.34/1.21	NO
2.61/1.24	EOF