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:S x:S y:S z:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(sub 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	sub(s(z:S),s(y:S)) -> x:S | sub(z:S,y:S) ->* x:S
0.001/0.001	sub(z:S,0) -> z:S
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:S x:S y:S z:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(sub 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	sub(s(z:S),s(y:S)) -> sub(z:S,y:S)
0.001/0.001	sub(z:S,0) -> z:S
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:S x:S y:S z:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(sub 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	sub(s(z:S),s(y:S)) -> sub(z:S,y:S)
0.001/0.001	sub(z:S,0) -> z:S
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	sub(s(z:S),s(y:S)) -> sub(z:S,y:S)
0.001/0.001	sub(z:S,0) -> z:S
0.001/0.001	-> Vars:
0.001/0.001	"y", "z", "z"
0.001/0.001	-> FVars:
0.001/0.001	"x4", "x5", "x6"
0.001/0.001	-> PVars:
0.001/0.001	"y": ["x4"], "z": ["x5", "x6"]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: sub(s(x5:S),s(x4:S)) -> sub(x5:S,x4:S), id: 1, possubterms: sub(s(x5:S),s(x4:S))-> [], s(x5:S)-> [1], s(x4:S)-> [2]
0.001/0.001	crule: sub(x6:S,0) -> x6:S, id: 2, possubterms: sub(x6:S,0)-> [], 0-> [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
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, 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 57%CPU (0avgtext+0avgdata 7944maxresident)k
0.001/0.001	8inputs+0outputs (0major+613minor)pagefaults 0swaps