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 v_NonEmpty:S:S X:S:S Y:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f 2)
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:S,g(X:S:S),Y:S:S) -> f(Y:S:S,Y:S:S,Y:S: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 v_NonEmpty:S:S X:S:S Y:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f 2)
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:S,g(X:S:S),Y:S:S) -> f(Y:S:S,Y:S:S,Y:S: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	CS-TRS Processor:
0.001/0.001	R is a CS-TRS
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 v_NonEmpty:S:S X:S:S Y:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(b)
0.001/0.001	(f 2)
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:S,g(X:S:S),Y:S:S) -> f(Y:S:S,Y:S:S,Y:S: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:S,g(X:S:S),Y:S:S) -> f(Y:S:S,Y:S:S,Y:S:S)
0.001/0.001	 g(b) -> c
0.001/0.001	-> Vars:
0.001/0.001	 X:S, Y:S
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: [X:S], UV-RActive: [Y:S], UV-LFrozen: [X:S, Y:S], UV-RFrozen: [Y:S])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x4, x5
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x4], Y:S: [x5]
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(x4:S,g(x4:S),x5:S) -> f(x5:S,x5:S,x5:S), id: 2, possubterms: f(x4:S,g(x4:S),x5:S)->[], g(x4:S)->[2])
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	(R2 unifies with R3 at p: [2], l: f(x4:S,g(x4:S),x5:S), lp: g(x4:S), sig: {x4:S -> b}, l': g(b), r: f(x5:S,x5:S,x5:S), r': c)
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	<f(b,c,Y:S:S),f(Y:S:S,Y:S:S,Y:S:S)>   =>  Not trivial, Not overlay, NW0, N2
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, Not 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 66%CPU (0avgtext+0avgdata 9192maxresident)k
0.001/0.001	8inputs+0outputs (0major+728minor)pagefaults 0swaps