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 W X Y Z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(fib 1)
0.001/0.001	(plus 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(pair 1, 2)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	fib(0) -> pair(s(0),0)
0.001/0.001	fib(s(X)) -> pair(W,Y) | fib(X) ->* pair(Y,Z), plus(Y,Z) ->* W
0.001/0.001	plus(0,X) -> X
0.001/0.001	plus(s(X),Y) -> plus(X,s(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	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 W X Y Z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(fib 1)
0.001/0.001	(plus 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(pair 1, 2)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	fib(0) -> pair(s(0),0)
0.001/0.001	fib(s(X)) -> pair(plus(Y,Z),Y) | fib(X) ->* pair(Y,Z)
0.001/0.001	plus(0,X) -> X
0.001/0.001	plus(s(X),Y) -> plus(X,s(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 W X Y Z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(fib 1)
0.001/0.001	(plus 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(pair 1, 2)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	fib(0) -> pair(s(0),0)
0.001/0.001	fib(s(X)) -> pair(plus(Y,Z),Y) | fib(X) ->* pair(Y,Z)
0.001/0.001	plus(0,X) -> X
0.001/0.001	plus(s(X),Y) -> plus(X,s(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	fib(0) -> pair(s(0),0)
0.001/0.001	fib(s(X)) -> pair(plus(Y,Z),Y) | fib(X) ->* pair(Y,Z)
0.001/0.001	plus(0,X) -> X
0.001/0.001	plus(s(X),Y) -> plus(X,s(Y))
0.001/0.001	-> Vars:
0.001/0.001	"X", "Y", "Z"
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: fib(0) -> pair(s(0),0), id: 1, possubterms: fib(0)-> [], 0-> [1]
0.001/0.001	crule: fib(s(X)) -> pair(plus(Y,Z),Y) | fib(X) ->* pair(Y,Z), id: 2, possubterms: fib(s(X))-> [], s(X)-> [1]
0.001/0.001	crule: plus(0,X) -> X, id: 3, possubterms: plus(0,X)-> [], 0-> [1]
0.001/0.001	crule: plus(s(X),Y) -> plus(X,s(Y)), id: 4, possubterms: plus(s(X),Y)-> [], s(X)-> [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, Not right linear, Not linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 3
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 Z)
0.001/0.001	(REPLACEMENT-MAP
0.001/0.001	(fib 1)
0.001/0.001	(plus 1, 2)
0.001/0.001	(0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(pair 1, 2)
0.001/0.001	(s 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	fib(0) -> pair(s(0),0)
0.001/0.001	fib(s(X)) -> pair(plus(Y,Z),Y) | fib(X) ->* pair(Y,Z)
0.001/0.001	plus(0,X) -> X
0.001/0.001	plus(s(X),Y) -> plus(X,s(Y))
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: pair(c_Y,c_Z)
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, Not right linear, Not linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 3
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 53%CPU (0avgtext+0avgdata 8276maxresident)k
0.001/0.001	8inputs+0outputs (0major+728minor)pagefaults 0swaps