0.001/0.001	YES
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty x)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(a)
0.001/0.001	(c)
0.001/0.001	(d)
0.001/0.001	(f)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(e)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b | c ->*<- 0
0.001/0.001	c -> d
0.001/0.001	d -> e | f ->*<- 0
0.001/0.001	f -> a
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	Inlining of Conditions Processor [STERN17]:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty x)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(a)
0.001/0.001	(c)
0.001/0.001	(d)
0.001/0.001	(f)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(e)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b | c ->*<- 0
0.001/0.001	c -> d
0.001/0.001	d -> e | f ->*<- 0
0.001/0.001	f -> a
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty x)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(a)
0.001/0.001	(c)
0.001/0.001	(d)
0.001/0.001	(f)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(e)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b | c ->*<- 0
0.001/0.001	c -> d
0.001/0.001	d -> e | f ->*<- 0
0.001/0.001	f -> a
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Critical Pairs Processor:
0.001/0.001	-> Rules:
0.001/0.001	a -> b | c ->*<- 0
0.001/0.001	c -> d
0.001/0.001	d -> e | f ->*<- 0
0.001/0.001	f -> a
0.001/0.001	-> Vars:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: a -> b | c ->*<- 0, id: 1, possubterms: a-> []
0.001/0.001	crule: c -> d, id: 2, possubterms: c-> []
0.001/0.001	crule: d -> e | f ->*<- 0, id: 3, possubterms: d-> []
0.001/0.001	crule: f -> a, id: 4, possubterms: f-> []
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 1
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Not oriented CTRS, Not properly oriented CTRS, Join CTRS, Not semiequational CTRS
0.001/0.001	 Maybe right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Maybe almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Maybe operational terminating CTRS, Joinable CCPs
0.001/0.001	 Maybe level confluent
0.001/0.001	 Maybe confluent
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(a)
0.001/0.001	(c)
0.001/0.001	(d)
0.001/0.001	(f)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(e)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b | c ->*<- 0
0.001/0.001	c -> d
0.001/0.001	d -> e | f ->*<- 0
0.001/0.001	f -> a
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Right Stable Processor:
0.001/0.001	Right-stable CTRS
0.001/0.001	Justification:
0.001/0.001	
0.001/0.001	-> Term right-stability conditions:
0.001/0.001	 Term: 0
0.001/0.001	 Right-stable term
0.001/0.001	 Linear constructor form
0.001/0.001	 Don't know if term is a ground normal form (not needed)
0.001/0.001	 Right-stability condition achieved
0.001/0.001	 A call to InfChecker wasn't needed
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Term right-stability conditions:
0.001/0.001	 Term: 0
0.001/0.001	 Right-stable term
0.001/0.001	 Linear constructor form
0.001/0.001	 Don't know if term is a ground normal form (not needed)
0.001/0.001	 Right-stability condition achieved
0.001/0.001	 A call to InfChecker wasn't needed
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 1
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Not oriented CTRS, Not properly oriented CTRS, Join CTRS, Not semiequational CTRS
0.001/0.001	 Right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Maybe almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Maybe operational terminating CTRS, Joinable CCPs
0.001/0.001	 Level confluent
0.001/0.001	 Confluent
0.001/0.001	
0.001/0.001	The problem is joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 30%CPU (0avgtext+0avgdata 8436maxresident)k
0.001/0.001	0inputs+0outputs (0major+724minor)pagefaults 0swaps