2.24/1.30	NO
2.24/1.30	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
2.24/1.30	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.24/1.30	
2.24/1.30	
2.24/1.30	Outermost Termination of the given OTRS could be disproven:
2.24/1.30	
2.24/1.30	(0) OTRS
2.24/1.30	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.24/1.30	(2) NO
2.24/1.30	
2.24/1.30	
2.24/1.30	----------------------------------------
2.24/1.30	
2.24/1.30	(0)
2.24/1.30	Obligation:
2.24/1.30	Term rewrite system R:
2.24/1.30	The TRS R consists of the following rules:
2.24/1.30	
2.24/1.30	   fst(0, Z) -> nil
2.24/1.30	   fst(s(X), cons(Y, Z)) -> cons(Y, fst(X, Z))
2.24/1.30	   from(X) -> cons(X, from(s(X)))
2.24/1.30	   add(0, X) -> X
2.24/1.30	   add(s(X), Y) -> s(add(X, Y))
2.24/1.30	   len(nil) -> 0
2.24/1.30	   len(cons(X, Z)) -> s(len(Z))
2.24/1.30	
2.24/1.30	
2.24/1.30	
2.24/1.30	Outermost Strategy.
2.24/1.30	
2.24/1.30	----------------------------------------
2.24/1.30	
2.24/1.30	(1) OutermostNonTerminationProof (COMPLETE)
2.24/1.30	Term rewrite system R:
2.24/1.30	The TRS R consists of the following rules:
2.24/1.30	
2.24/1.30	   fst(0, Z) -> nil
2.24/1.30	   fst(s(X), cons(Y, Z)) -> cons(Y, fst(X, Z))
2.24/1.30	   from(X) -> cons(X, from(s(X)))
2.24/1.30	   add(0, X) -> X
2.24/1.30	   add(s(X), Y) -> s(add(X, Y))
2.24/1.30	   len(nil) -> 0
2.24/1.30	   len(cons(X, Z)) -> s(len(Z))
2.24/1.30	
2.24/1.30	
2.24/1.30	
2.24/1.30	Outermost Strategy.
2.24/1.30	
2.24/1.30	---------- Loop: ----------
2.24/1.30	
2.24/1.30	from(X) -> cons(X, from(s(X))) with rule from(X') -> cons(X', from(s(X'))) at position [] and matcher [X' / X]
2.24/1.30	
2.24/1.30	Now an instance of the first term with Matcher [X / s(X)] occurs in the last term at position [1].
2.24/1.30	
2.24/1.30	Context: cons(X, [])
2.24/1.30	
2.24/1.30	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.24/1.30	----------------------------------------
2.24/1.30	
2.24/1.30	(2)
2.24/1.30	NO
2.24/1.33	EOF