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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(*top*_0 1)
0.001/0.001	(f_0 1)
0.001/0.001	(f_1)
0.001/0.001	(a_1)
0.001/0.001	(c_0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	*top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1))))
0.001/0.001	*top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1)))
0.001/0.001	*top*_0(a_1) -> *top*_0(f_0(a_1))
0.001/0.001	f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1))))
0.001/0.001	f_1(f_0(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_1(x:S)))) -> c_0
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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(*top*_0 1)
0.001/0.001	(f_0 1)
0.001/0.001	(f_1)
0.001/0.001	(a_1)
0.001/0.001	(c_0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	*top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1))))
0.001/0.001	*top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1)))
0.001/0.001	*top*_0(a_1) -> *top*_0(f_0(a_1))
0.001/0.001	f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1))))
0.001/0.001	f_1(f_0(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_1(x:S)))) -> c_0
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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(*top*_0 1)
0.001/0.001	(f_0 1)
0.001/0.001	(f_1)
0.001/0.001	(a_1)
0.001/0.001	(c_0)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	*top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1))))
0.001/0.001	*top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1)))
0.001/0.001	*top*_0(a_1) -> *top*_0(f_0(a_1))
0.001/0.001	f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1))))
0.001/0.001	f_1(f_0(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_0(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_0(x:S)))) -> c_0
0.001/0.001	f_1(f_1(f_1(f_1(x:S)))) -> c_0
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	 *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1))))
0.001/0.001	 *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1)))
0.001/0.001	 *top*_0(a_1) -> *top*_0(f_0(a_1))
0.001/0.001	 f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1))))
0.001/0.001	 f_1(f_0(f_0(f_0(x:S)))) -> c_0
0.001/0.001	 f_1(f_1(f_0(f_0(x:S)))) -> c_0
0.001/0.001	 f_1(f_1(f_1(f_0(x:S)))) -> c_0
0.001/0.001	 f_1(f_1(f_1(f_1(x:S)))) -> c_0
0.001/0.001	-> Vars:
0.001/0.001	 x, x, x, x
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], 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	 (UV-RuleId: 5, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 6, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 7, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 8, UV-LActive: [], UV-RActive: [], UV-LFrozen: [x], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x2, x3, x4, x5
0.001/0.001	-> PVars:
0.001/0.001	 x: [x2, x3, x4, x5]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))), id: 1, possubterms: *top*_0(f_0(f_0(a_1)))->[], f_0(f_0(a_1))->[1], f_0(a_1)->[1, 1], a_1->[1, 1, 1])
0.001/0.001	 (rule: *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))), id: 2, possubterms: *top*_0(f_0(a_1))->[], f_0(a_1)->[1], a_1->[1, 1])
0.001/0.001	 (rule: *top*_0(a_1) -> *top*_0(f_0(a_1)), id: 3, possubterms: *top*_0(a_1)->[], a_1->[1])
0.001/0.001	 (rule: f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))), id: 4, possubterms: f_0(f_0(f_0(a_1)))->[], f_0(f_0(a_1))->[1], f_0(a_1)->[1, 1], a_1->[1, 1, 1])
0.001/0.001	 (rule: f_1(f_0(f_0(f_0(x2:S)))) -> c_0, id: 5, possubterms: f_1(f_0(f_0(f_0(x2:S))))->[])
0.001/0.001	 (rule: f_1(f_1(f_0(f_0(x3:S)))) -> c_0, id: 6, possubterms: f_1(f_1(f_0(f_0(x3:S))))->[])
0.001/0.001	 (rule: f_1(f_1(f_1(f_0(x4:S)))) -> c_0, id: 7, possubterms: f_1(f_1(f_1(f_0(x4:S))))->[])
0.001/0.001	 (rule: f_1(f_1(f_1(f_1(x5:S)))) -> c_0, id: 8, possubterms: f_1(f_1(f_1(f_1(x5: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, 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 50%CPU (0avgtext+0avgdata 8712maxresident)k
0.001/0.001	0inputs+0outputs (0major+678minor)pagefaults 0swaps