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	(num2nd 1)
0.001/0.001	(cons 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
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	num2nd(cons(X:S:S,cons(Y:S:S,Z:S:S))) -> Y: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	(num2nd 1)
0.001/0.001	(cons 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
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	num2nd(cons(X:S:S,cons(Y:S:S,Z:S:S))) -> Y: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	(num2nd 1)
0.001/0.001	(cons 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(s 1)
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	num2nd(cons(X:S:S,cons(Y:S:S,Z:S:S))) -> Y: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	 num2nd(cons(X:S:S,cons(Y:S:S,Z:S:S))) -> Y:S:S
0.001/0.001	-> Vars:
0.001/0.001	 X: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: [Z:S], UV-RActive: [Y:S], UV-LFrozen: [X:S, Y:S], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x5, x6, x7, x8
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x5, x6], Y:S: [x7], Z:S: [x8]
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: num2nd(cons(x6:S,cons(x7:S,x8:S))) -> x7:S, id: 2, possubterms: num2nd(cons(x6:S,cons(x7:S,x8:S)))->[], cons(x6:S,cons(x7:S,x8:S))->[1], cons(x7:S,x8:S)->[1, 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 41%CPU (0avgtext+0avgdata 8448maxresident)k
0.001/0.001	8inputs+0outputs (0major+661minor)pagefaults 0swaps