3.21/1.41	NO
3.21/1.41	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.21/1.41	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.21/1.41	
3.21/1.41	
3.21/1.41	Outermost Termination of the given OTRS could be disproven:
3.21/1.41	
3.21/1.41	(0) OTRS
3.21/1.41	(1) OutermostNonTerminationProof [COMPLETE, 172 ms]
3.21/1.41	(2) NO
3.21/1.41	
3.21/1.41	
3.21/1.41	----------------------------------------
3.21/1.41	
3.21/1.41	(0)
3.21/1.41	Obligation:
3.21/1.41	Term rewrite system R:
3.21/1.41	The TRS R consists of the following rules:
3.21/1.41	
3.21/1.41	   +(x, +(y, z)) -> +(+(x, y), z)
3.21/1.41	   *(x, +(y, z)) -> +(*(x, y), *(x, z))
3.21/1.41	   +(+(x, *(y, z)), *(y, u)) -> +(x, *(y, +(z, u)))
3.21/1.41	
3.21/1.41	
3.21/1.41	
3.21/1.41	Outermost Strategy.
3.21/1.41	
3.21/1.41	----------------------------------------
3.21/1.41	
3.21/1.41	(1) OutermostNonTerminationProof (COMPLETE)
3.21/1.41	Term rewrite system R:
3.21/1.41	The TRS R consists of the following rules:
3.21/1.41	
3.21/1.41	   +(x, +(y, z)) -> +(+(x, y), z)
3.21/1.41	   *(x, +(y, z)) -> +(*(x, y), *(x, z))
3.21/1.41	   +(+(x, *(y, z)), *(y, u)) -> +(x, *(y, +(z, u)))
3.21/1.41	
3.21/1.41	
3.21/1.41	
3.21/1.41	Outermost Strategy.
3.21/1.41	
3.21/1.41	---------- Loop: ----------
3.21/1.41	
3.21/1.41	+(+(x'', *(y, z)), *(y, u)) -> +(x'', *(y, +(z, u))) with rule +(+(x, *(y', z')), *(y', u')) -> +(x, *(y', +(z', u'))) at position [] and matcher [x / x'', y' / y, z' / z, u' / u]
3.21/1.41	
3.21/1.41	+(x'', *(y, +(z, u))) -> +(x'', +(*(y, z), *(y, u))) with rule *(x', +(y', z')) -> +(*(x', y'), *(x', z')) at position [1] and matcher [x' / y, y' / z, z' / u]
3.21/1.41	
3.21/1.41	+(x'', +(*(y, z), *(y, u))) -> +(+(x'', *(y, z)), *(y, u)) with rule +(x, +(y', z')) -> +(+(x, y'), z') at position [] and matcher [x / x'', y' / *(y, z), z' / *(y, u)]
3.21/1.41	
3.21/1.41	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
3.21/1.41	
3.21/1.41	Context: []
3.21/1.41	
3.21/1.41	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
3.21/1.41	----------------------------------------
3.21/1.41	
3.21/1.41	(2)
3.21/1.41	NO
3.21/1.44	EOF