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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(h)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b
0.001/0.001	f(X:S:S,X:S:S) -> h(a)
0.001/0.001	g(a,X:S:S) -> f(b,X:S:S)
0.001/0.001	h(X:S:S) -> g(X:S:S,X:S: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	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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(h)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b
0.001/0.001	f(X:S:S,X:S:S) -> h(a)
0.001/0.001	g(a,X:S:S) -> f(b,X:S:S)
0.001/0.001	h(X:S:S) -> g(X:S:S,X:S: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	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 v_NonEmpty:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a)
0.001/0.001	(f)
0.001/0.001	(g 1)
0.001/0.001	(h)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a -> b
0.001/0.001	f(X:S:S,X:S:S) -> h(a)
0.001/0.001	g(a,X:S:S) -> f(b,X:S:S)
0.001/0.001	h(X:S:S) -> g(X:S:S,X:S:S)
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	 a -> b
0.001/0.001	 f(X:S:S,X:S:S) -> h(a)
0.001/0.001	 g(a,X:S:S) -> f(b,X:S:S)
0.001/0.001	 h(X:S:S) -> g(X:S:S,X:S:S)
0.001/0.001	-> Vars:
0.001/0.001	 X:S, X:S, X: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: [], UV-RActive: [], UV-LFrozen: [X:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X:S], UV-RFrozen: [X:S])
0.001/0.001	 (UV-RuleId: 4, UV-LActive: [], UV-RActive: [X:S], UV-LFrozen: [X:S], UV-RFrozen: [X:S])
0.001/0.001	-> FVars:
0.001/0.001	 x3, x4, x5
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x3, x4, x5]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: a -> b, id: 1, possubterms: a->[])
0.001/0.001	 (rule: f(x3:S,x3:S) -> h(a), id: 2, possubterms: f(x3:S,x3:S)->[])
0.001/0.001	 (rule: g(a,x4:S) -> f(b,x4:S), id: 3, possubterms: g(a,x4:S)->[], a->[1])
0.001/0.001	 (rule: h(x5:S) -> g(x5:S,x5:S), id: 4, possubterms: h(x5:S)->[])
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	(R3 unifies with R1 at p: [1], l: g(a,x4:S), lp: a, sig: {}, l': a, r: f(b,x4:S), r': b)
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	<g(b,X:S:S),f(b,X:S:S)>   =>  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(b,X:S:S),f(b,X:S:S)>   =>  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 46%CPU (0avgtext+0avgdata 8504maxresident)k
0.001/0.001	8inputs+0outputs (0major+661minor)pagefaults 0swaps