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 y)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(b)
0.001/0.001	(f 1)
0.001/0.001	(g 1)
0.001/0.001	(a)
0.001/0.001	(c 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> f(a)
0.001/0.001	f(x) -> x | g(x) ->* c(y)
0.001/0.001	g(a) -> c(b)
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 y)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(b)
0.001/0.001	(f 1)
0.001/0.001	(g 1)
0.001/0.001	(a)
0.001/0.001	(c 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> f(a)
0.001/0.001	f(x) -> x | g(x) ->* c(y)
0.001/0.001	g(a) -> c(b)
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 y)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(b)
0.001/0.001	(f 1)
0.001/0.001	(g 1)
0.001/0.001	(a)
0.001/0.001	(c 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> f(a)
0.001/0.001	f(x) -> x | g(x) ->* c(y)
0.001/0.001	g(a) -> c(b)
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	b -> f(a)
0.001/0.001	f(x) -> x | g(x) ->* c(y)
0.001/0.001	g(a) -> c(b)
0.001/0.001	-> Vars:
0.001/0.001	"x", "y"
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: b -> f(a), id: 1, possubterms: b-> []
0.001/0.001	crule: f(x) -> x | g(x) ->* c(y), id: 2, possubterms: f(x)-> []
0.001/0.001	crule: g(a) -> c(b), id: 3, possubterms: g(a)-> [], a-> [1]
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: 2
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not 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	(VAR x y)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(b)
0.001/0.001	(f 1)
0.001/0.001	(g 1)
0.001/0.001	(a)
0.001/0.001	(c 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> f(a)
0.001/0.001	f(x) -> x | g(x) ->* c(y)
0.001/0.001	g(a) -> c(b)
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: c(c_y)
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: 2
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not join CTRS, Not semiequational CTRS
0.001/0.001	 Right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, 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 25%CPU (0avgtext+0avgdata 8516maxresident)k
0.001/0.001	8inputs+0outputs (0major+728minor)pagefaults 0swaps