0.001/0.001	NO
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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(c)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> c
0.001/0.001	f(X:S,g(X:S),Y:S) -> f(Y:S,Y:S,Y:S)
0.001/0.001	g(b) -> c
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	CleanTRS Processor:
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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(c)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> c
0.001/0.001	f(X:S,g(X:S),Y:S) -> f(Y:S,Y:S,Y:S)
0.001/0.001	g(b) -> c
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	Modular Confluence Combinations Decomposition Processor:
0.001/0.001	It is a CTRS -> No modular confluence
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	Left-Homogeneous u-Replacing Variables Processor:
0.001/0.001	R satisfies LHRV condition
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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(c)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> c
0.001/0.001	f(X:S,g(X:S),Y:S) -> f(Y:S,Y:S,Y:S)
0.001/0.001	g(b) -> c
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Huet Levy Processor:
0.001/0.001	-> Rules:
0.001/0.001	 b -> c
0.001/0.001	 f(X:S,g(X:S),Y:S) -> f(Y:S,Y:S,Y:S)
0.001/0.001	 g(b) -> c
0.001/0.001	-> Vars:
0.001/0.001	 X, Y
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X, Y], UV-RFrozen: [Y])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x3, x4
0.001/0.001	-> PVars:
0.001/0.001	 X: [x3], Y: [x4]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: b -> c, id: 1, possubterms: b->[])
0.001/0.001	 (rule: f(x3:S,g(x3:S),x4:S) -> f(x4:S,x4:S,x4:S), id: 2, possubterms: f(x3:S,g(x3:S),x4:S)->[])
0.001/0.001	 (rule: g(b) -> c, id: 3, possubterms: g(b)->[], b->[1])
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	(R3 unifies with R1 at p: [1], l: g(b), lp: b, sig: {}, l': b, r: c, r': c)
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	<g(c),c>   =>  Not trivial, Not overlay, NW0, N1
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Not left linear, Not right linear, Not linear
0.001/0.001	 Not weakly orthogonal, Not almost orthogonal, Not orthogonal
0.001/0.001	 Not Huet-Levy confluent, Not Newman confluent
0.001/0.001	 R is a CS-TRS, Left-homogeneous u-replacing variables
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	Different Normal CP Terms Processor:
0.001/0.001	<g(c),c>   =>  Not trivial, Not overlay, NW0, N1, Normal and not trivial cp
0.001/0.001	
0.001/0.001	The problem is not joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 38%CPU (0avgtext+0avgdata 8644maxresident)k
0.001/0.001	0inputs+0outputs (0major+663minor)pagefaults 0swaps