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 v_NonEmpty:S:S X:S:S Y:S:S Z:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(from)
0.001/0.001	(sel 1 2)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(num0)
0.001/0.001	(s)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	from(X:S:S) -> cons(X:S:S,from(s(X:S:S)))
0.001/0.001	sel(num0,cons(X:S:S,Y:S:S)) -> X:S:S
0.001/0.001	sel(s(X:S:S),cons(Y:S:S,Z:S:S)) -> sel(X:S:S,Z: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 Y:S:S Z:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(from)
0.001/0.001	(sel 1 2)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(num0)
0.001/0.001	(s)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	from(X:S:S) -> cons(X:S:S,from(s(X:S:S)))
0.001/0.001	sel(num0,cons(X:S:S,Y:S:S)) -> X:S:S
0.001/0.001	sel(s(X:S:S),cons(Y:S:S,Z:S:S)) -> sel(X:S:S,Z: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 Y:S:S Z:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(from)
0.001/0.001	(sel 1 2)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(num0)
0.001/0.001	(s)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	from(X:S:S) -> cons(X:S:S,from(s(X:S:S)))
0.001/0.001	sel(num0,cons(X:S:S,Y:S:S)) -> X:S:S
0.001/0.001	sel(s(X:S:S),cons(Y:S:S,Z:S:S)) -> sel(X:S:S,Z: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	 from(X:S:S) -> cons(X:S:S,from(s(X:S:S)))
0.001/0.001	 sel(num0,cons(X:S:S,Y:S:S)) -> X:S:S
0.001/0.001	 sel(s(X:S:S),cons(Y:S:S,Z:S:S)) -> sel(X:S:S,Z:S:S)
0.001/0.001	-> Vars:
0.001/0.001	 X:S, X:S, Y:S, X:S, Y:S, Z:S
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X:S], UV-RFrozen: [X:S])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [X:S], UV-LFrozen: [X:S, Y:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [X:S, Z:S], UV-LFrozen: [X:S, Y:S, Z:S], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x5, x6, x7, x8, x9, x10
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x5, x6, x8], Y:S: [x7, x9], Z:S: [x10]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: from(x5:S) -> cons(x5:S,from(s(x5:S))), id: 1, possubterms: from(x5:S)->[])
0.001/0.001	 (rule: sel(num0,cons(x6:S,x7:S)) -> x6:S, id: 2, possubterms: sel(num0,cons(x6:S,x7:S))->[], num0->[1], cons(x6:S,x7:S)->[2])
0.001/0.001	 (rule: sel(s(x8:S),cons(x9:S,x10:S)) -> sel(x8:S,x10:S), id: 3, possubterms: sel(s(x8:S),cons(x9:S,x10:S))->[], s(x8:S)->[1], cons(x9:S,x10:S)->[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, Not right linear, Not linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 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	The problem is joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 33%CPU (0avgtext+0avgdata 8384maxresident)k
0.001/0.001	8inputs+0outputs (0major+662minor)pagefaults 0swaps