2.36/1.23	NO
2.36/1.23	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.36/1.23	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.36/1.23	
2.36/1.23	
2.36/1.23	Outermost Termination of the given OTRS could be disproven:
2.36/1.23	
2.36/1.23	(0) OTRS
2.36/1.23	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.36/1.23	(2) NO
2.36/1.23	
2.36/1.23	
2.36/1.23	----------------------------------------
2.36/1.23	
2.36/1.23	(0)
2.36/1.23	Obligation:
2.36/1.23	Term rewrite system R:
2.36/1.23	The TRS R consists of the following rules:
2.36/1.23	
2.36/1.23	   2nd(cons(X)) -> 2nd(cons1(X, X1))
2.36/1.23	   2nd(cons1(X, cons(Y))) -> Y
2.36/1.23	   from(X) -> cons(X)
2.36/1.23	
2.36/1.23	
2.36/1.23	
2.36/1.23	Outermost Strategy.
2.36/1.23	
2.36/1.23	----------------------------------------
2.36/1.23	
2.36/1.23	(1) OutermostNonTerminationProof (COMPLETE)
2.36/1.23	Term rewrite system R:
2.36/1.23	The TRS R consists of the following rules:
2.36/1.23	
2.36/1.23	   2nd(cons(X)) -> 2nd(cons1(X, X1))
2.36/1.23	   2nd(cons1(X, cons(Y))) -> Y
2.36/1.23	   from(X) -> cons(X)
2.36/1.23	
2.36/1.23	
2.36/1.23	
2.36/1.23	Outermost Strategy.
2.36/1.23	
2.36/1.23	---------- Loop: ----------
2.36/1.23	
2.36/1.23	2nd(cons(X)) -> 2nd(cons1(X, 2nd(cons(X)))) with rule 2nd(cons(X'')) -> 2nd(cons1(X'', X1)) at position [] and matcher [X'' / X, X1 / 2nd(cons(X))]
2.36/1.23	
2.36/1.23	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0,1].
2.36/1.23	
2.36/1.23	Context: 2nd(cons1(X, []))
2.36/1.23	
2.36/1.23	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.36/1.23	----------------------------------------
2.36/1.23	
2.36/1.23	(2)
2.36/1.23	NO
2.36/1.26	EOF