2.83/1.25	NO
2.83/1.25	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.83/1.25	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.83/1.25	
2.83/1.25	
2.83/1.25	Outermost Termination of the given OTRS could be disproven:
2.83/1.25	
2.83/1.25	(0) OTRS
2.83/1.25	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.83/1.25	(2) NO
2.83/1.25	
2.83/1.25	
2.83/1.25	----------------------------------------
2.83/1.25	
2.83/1.25	(0)
2.83/1.25	Obligation:
2.83/1.25	Term rewrite system R:
2.83/1.25	The TRS R consists of the following rules:
2.83/1.25	
2.83/1.25	   g(f(x, y)) -> f(f(g(g(x)), g(g(y))), f(g(g(x)), g(g(y))))
2.83/1.25	
2.83/1.25	
2.83/1.25	
2.83/1.25	Outermost Strategy.
2.83/1.25	
2.83/1.25	----------------------------------------
2.83/1.25	
2.83/1.25	(1) OutermostNonTerminationProof (COMPLETE)
2.83/1.25	Term rewrite system R:
2.83/1.25	The TRS R consists of the following rules:
2.83/1.25	
2.83/1.25	   g(f(x, y)) -> f(f(g(g(x)), g(g(y))), f(g(g(x)), g(g(y))))
2.83/1.25	
2.83/1.25	
2.83/1.25	
2.83/1.25	Outermost Strategy.
2.83/1.25	
2.83/1.25	---------- Loop: ----------
2.83/1.25	
2.83/1.25	g(g(f(x', y'))) -> g(f(f(g(g(x')), g(g(y'))), f(g(g(x')), g(g(y'))))) with rule g(f(x'', y'')) -> f(f(g(g(x'')), g(g(y''))), f(g(g(x'')), g(g(y'')))) at position [0] and matcher [x'' / x', y'' / y']
2.83/1.25	
2.83/1.25	g(f(f(g(g(x')), g(g(y'))), f(g(g(x')), g(g(y'))))) -> f(f(g(g(f(g(g(x')), g(g(y'))))), g(g(f(g(g(x')), g(g(y')))))), f(g(g(f(g(g(x')), g(g(y'))))), g(g(f(g(g(x')), g(g(y'))))))) with rule g(f(x, y)) -> f(f(g(g(x)), g(g(y))), f(g(g(x)), g(g(y)))) at position [] and matcher [x / f(g(g(x')), g(g(y'))), y / f(g(g(x')), g(g(y')))]
2.83/1.25	
2.83/1.25	Now an instance of the first term with Matcher [x' / g(g(x')), y' / g(g(y'))] occurs in the last term at position [1,0].
2.83/1.25	
2.83/1.25	Context: f(f(g(g(f(g(g(x')), g(g(y'))))), g(g(f(g(g(x')), g(g(y')))))), f([], g(g(f(g(g(x')), g(g(y')))))))
2.83/1.25	
2.83/1.25	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.83/1.25	----------------------------------------
2.83/1.25	
2.83/1.25	(2)
2.83/1.25	NO
2.83/1.28	EOF