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 L:S:S N:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(and 1)
0.001/0.001	(length 1)
0.001/0.001	(zeros)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(num0)
0.001/0.001	(s 1)
0.001/0.001	(tt)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	and(tt,X:S:S) -> X:S:S
0.001/0.001	length(cons(N:S:S,L:S:S)) -> s(length(L:S:S))
0.001/0.001	length(nil) -> num0
0.001/0.001	zeros -> cons(num0,zeros)
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 L:S:S N:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(and 1)
0.001/0.001	(length 1)
0.001/0.001	(zeros)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(num0)
0.001/0.001	(s 1)
0.001/0.001	(tt)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	and(tt,X:S:S) -> X:S:S
0.001/0.001	length(cons(N:S:S,L:S:S)) -> s(length(L:S:S))
0.001/0.001	length(nil) -> num0
0.001/0.001	zeros -> cons(num0,zeros)
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 L:S:S N:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(and 1)
0.001/0.001	(length 1)
0.001/0.001	(zeros)
0.001/0.001	(cons)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(num0)
0.001/0.001	(s 1)
0.001/0.001	(tt)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	and(tt,X:S:S) -> X:S:S
0.001/0.001	length(cons(N:S:S,L:S:S)) -> s(length(L:S:S))
0.001/0.001	length(nil) -> num0
0.001/0.001	zeros -> cons(num0,zeros)
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	 and(tt,X:S:S) -> X:S:S
0.001/0.001	 length(cons(N:S:S,L:S:S)) -> s(length(L:S:S))
0.001/0.001	 length(nil) -> num0
0.001/0.001	 zeros -> cons(num0,zeros)
0.001/0.001	-> Vars:
0.001/0.001	 X:S, L:S, N:S
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [X:S], UV-LFrozen: [X:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [L:S], UV-LFrozen: [L:S, N:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 4, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x5, x6, x7
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x5], L:S: [x6], N:S: [x7]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: and(tt,x5:S) -> x5:S, id: 1, possubterms: and(tt,x5:S)->[], tt->[1])
0.001/0.001	 (rule: length(cons(x7:S,x6:S)) -> s(length(x6:S)), id: 2, possubterms: length(cons(x7:S,x6:S))->[], cons(x7:S,x6:S)->[1])
0.001/0.001	 (rule: length(nil) -> num0, id: 3, possubterms: length(nil)->[], nil->[1])
0.001/0.001	 (rule: zeros -> cons(num0,zeros), id: 4, possubterms: zeros->[])
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, Right linear, 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 46%CPU (0avgtext+0avgdata 8528maxresident)k
0.001/0.001	8inputs+0outputs (0major+658minor)pagefaults 0swaps