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 xs:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1 1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(overflow_0)
0.001/0.001	(s_0)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(x:S:S),xs:S:S) -> overflow_0
0.001/0.001	from_1(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_2(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_3(x:S:S) -> cons_1(x:S:S,from_3(s_0(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 xs:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1 1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(overflow_0)
0.001/0.001	(s_0)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(x:S:S),xs:S:S) -> overflow_0
0.001/0.001	from_1(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_2(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_3(x:S:S) -> cons_1(x:S:S,from_3(s_0(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 xs:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1 1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(overflow_0)
0.001/0.001	(s_0)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(x:S:S),xs:S:S) -> overflow_0
0.001/0.001	from_1(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_2(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	from_3(x:S:S) -> cons_1(x:S:S,from_3(s_0(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	 cons_1(s_0(x:S:S),xs:S:S) -> overflow_0
0.001/0.001	 from_1(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	 from_2(x:S:S) -> cons_0(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	 from_3(x:S:S) -> cons_1(x:S:S,from_3(s_0(x:S:S)))
0.001/0.001	-> Vars:
0.001/0.001	 x:S, xs:S, x:S, x:S, x:S
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x:S, xs:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [x:S], UV-LFrozen: [x:S], UV-RFrozen: [x:S])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [x:S], 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	 x4, x5, x6, x7, x8
0.001/0.001	-> PVars:
0.001/0.001	 x:S: [x4, x6, x7, x8], xs:S: [x5]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: cons_1(s_0(x4:S),x5:S) -> overflow_0, id: 1, possubterms: cons_1(s_0(x4:S),x5:S)->[], s_0(x4:S)->[1])
0.001/0.001	 (rule: from_1(x6:S) -> cons_0(x6:S,from_3(s_0(x6:S))), id: 2, possubterms: from_1(x6:S)->[])
0.001/0.001	 (rule: from_2(x7:S) -> cons_0(x7:S,from_3(s_0(x7:S))), id: 3, possubterms: from_2(x7:S)->[])
0.001/0.001	 (rule: from_3(x8:S) -> cons_1(x8:S,from_3(s_0(x8:S))), id: 4, possubterms: from_3(x8:S)->[])
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 8228maxresident)k
0.001/0.001	8inputs+0outputs (0major+663minor)pagefaults 0swaps