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 x:S xs:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(from_4)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil_0)
0.001/0.001	(s_0 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(s_0(x:S)),xs:S) -> nil_0
0.001/0.001	from_1(x:S) -> cons_1(x:S,from_1(s_0(x:S)))
0.001/0.001	from_2(x:S) -> cons_0(x:S,from_1(s_0(x:S)))
0.001/0.001	from_3(x:S) -> cons_0(x:S,from_2(s_0(x:S)))
0.001/0.001	from_4(x:S) -> cons_0(x:S,from_2(s_0(x: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 x:S xs:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(from_4)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil_0)
0.001/0.001	(s_0 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(s_0(x:S)),xs:S) -> nil_0
0.001/0.001	from_1(x:S) -> cons_1(x:S,from_1(s_0(x:S)))
0.001/0.001	from_2(x:S) -> cons_0(x:S,from_1(s_0(x:S)))
0.001/0.001	from_3(x:S) -> cons_0(x:S,from_2(s_0(x:S)))
0.001/0.001	from_4(x:S) -> cons_0(x:S,from_2(s_0(x: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 x:S xs:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(cons_1)
0.001/0.001	(from_1)
0.001/0.001	(from_2)
0.001/0.001	(from_3)
0.001/0.001	(from_4)
0.001/0.001	(cons_0 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil_0)
0.001/0.001	(s_0 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	cons_1(s_0(s_0(x:S)),xs:S) -> nil_0
0.001/0.001	from_1(x:S) -> cons_1(x:S,from_1(s_0(x:S)))
0.001/0.001	from_2(x:S) -> cons_0(x:S,from_1(s_0(x:S)))
0.001/0.001	from_3(x:S) -> cons_0(x:S,from_2(s_0(x:S)))
0.001/0.001	from_4(x:S) -> cons_0(x:S,from_2(s_0(x: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(s_0(x:S)),xs:S) -> nil_0
0.001/0.001	 from_1(x:S) -> cons_1(x:S,from_1(s_0(x:S)))
0.001/0.001	 from_2(x:S) -> cons_0(x:S,from_1(s_0(x:S)))
0.001/0.001	 from_3(x:S) -> cons_0(x:S,from_2(s_0(x:S)))
0.001/0.001	 from_4(x:S) -> cons_0(x:S,from_2(s_0(x:S)))
0.001/0.001	-> Vars:
0.001/0.001	 x, xs, x, x, x, x
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x, xs], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x], UV-RFrozen: [x])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [x], UV-LFrozen: [x], UV-RFrozen: [x])
0.001/0.001	 (UV-RuleId: 4, UV-LActive: [], UV-RActive: [x], UV-LFrozen: [x], UV-RFrozen: [x])
0.001/0.001	 (UV-RuleId: 5, UV-LActive: [], UV-RActive: [x], UV-LFrozen: [x], UV-RFrozen: [x])
0.001/0.001	-> FVars:
0.001/0.001	 x3, x4, x5, x6, x7, x8
0.001/0.001	-> PVars:
0.001/0.001	 x: [x3, x5, x6, x7, x8], xs: [x4]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: cons_1(s_0(s_0(x3:S)),x4:S) -> nil_0, id: 1, possubterms: cons_1(s_0(s_0(x3:S)),x4:S)->[])
0.001/0.001	 (rule: from_1(x5:S) -> cons_1(x5:S,from_1(s_0(x5:S))), id: 2, possubterms: from_1(x5:S)->[])
0.001/0.001	 (rule: from_2(x6:S) -> cons_0(x6:S,from_1(s_0(x6:S))), id: 3, possubterms: from_2(x6:S)->[])
0.001/0.001	 (rule: from_3(x7:S) -> cons_0(x7:S,from_2(s_0(x7:S))), id: 4, possubterms: from_3(x7:S)->[])
0.001/0.001	 (rule: from_4(x8:S) -> cons_0(x8:S,from_2(s_0(x8:S))), id: 5, possubterms: from_4(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 41%CPU (0avgtext+0avgdata 8656maxresident)k
0.001/0.001	0inputs+0outputs (0major+684minor)pagefaults 0swaps