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 z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(add 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	add(x,0) -> x
0.001/0.001	add(x,s(y)) -> s(z) | add(x,y) ->* z
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 z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(add 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	add(x,0) -> x
0.001/0.001	add(x,s(y)) -> s(add(x,y))
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 z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(add 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	add(x,0) -> x
0.001/0.001	add(x,s(y)) -> s(add(x,y))
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	add(x,0) -> x
0.001/0.001	add(x,s(y)) -> s(add(x,y))
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: add(x,0) -> x, id: 1, possubterms: add(x,0)-> [], 0-> [2]
0.001/0.001	crule: add(x,s(y)) -> s(add(x,y)), id: 2, possubterms: add(x,s(y))-> [], s(y)-> [2]
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	 Oriented CTRS, Properly oriented CTRS, Join CTRS, Semiequational CTRS
0.001/0.001	 Maybe right-stable CTRS, Overlay CTRS
0.001/0.001	 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 38%CPU (0avgtext+0avgdata 8304maxresident)k
0.001/0.001	8inputs+0outputs (0major+679minor)pagefaults 0swaps