0.001/0.001	NO
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	(b)
0.001/0.001	(f 1)
0.001/0.001	(a)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> a
0.001/0.001	f(X:S,X:S) -> f(a,b)
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	(b)
0.001/0.001	(f 1)
0.001/0.001	(a)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> a
0.001/0.001	f(X:S,X:S) -> f(a,b)
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	CS-TRS Processor:
0.001/0.001	R is a CS-TRS
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	(b)
0.001/0.001	(f 1)
0.001/0.001	(a)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> a
0.001/0.001	f(X:S,X:S) -> f(a,b)
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Extended u-Critical Pairs NonLHRV Processor [JLAMP21]:
0.001/0.001	->Extended u-Critical Pair:
0.001/0.001	 Rule 1 (l :-> r) => f(x2:S,x2:S) -> f(a,b)
0.001/0.001	 Rule 2 (l' :-> r') => f(X:S,X:S) -> f(a,b)
0.001/0.001	 Var => x2:S
0.001/0.001	 Pos x2:S in l => [1]
0.001/0.001	 Sigma => {x2:S -> f(X:S,X:S)}
0.001/0.001	 s => f(a,b)
0.001/0.001	 t => f(f(a,b),f(X:S,X:S))
0.001/0.001	 NW => 2
0.001/0.001	
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	(b)
0.001/0.001	(f 1)
0.001/0.001	(a)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	b -> a
0.001/0.001	f(X:S,X:S) -> f(a,b)
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	<f(a,b),f(f(a,b),f(X:S,X:S))>   =>  Not trivial, Not overlay, NW2, N1
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Huet Levy Processor:
0.001/0.001	-> Rules:
0.001/0.001	 b -> a
0.001/0.001	 f(X:S,X:S) -> f(a,b)
0.001/0.001	-> Vars:
0.001/0.001	 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: [X], UV-RActive: [], UV-LFrozen: [X], UV-RFrozen: [])
0.001/0.001	-> FVars:
0.001/0.001	 x2
0.001/0.001	-> PVars:
0.001/0.001	 X: [x2]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: b -> a, id: 1, possubterms: b->[])
0.001/0.001	 (rule: f(x2:S,x2:S) -> f(a,b), id: 2, possubterms: f(x2:S,x2: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	<f(a,b),f(f(a,b),f(X:S,X:S))>   =>  Not trivial, Not overlay, NW2, N1
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Not left linear, Right linear, Not linear
0.001/0.001	 Not weakly orthogonal, Not almost orthogonal, Not orthogonal
0.001/0.001	 Not Huet-Levy confluent, Not Newman confluent
0.001/0.001	 R is a CS-TRS, Not left-homogeneous u-replacing variables
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	Different Normal CP Terms Processor:
0.001/0.001	<f(a,b),f(f(a,b),f(X:S,X:S))>   =>  Not trivial, Not overlay, NW2, N1, Normal and not trivial cp
0.001/0.001	
0.001/0.001	The problem is not joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 53%CPU (0avgtext+0avgdata 8792maxresident)k
0.001/0.001	0inputs+0outputs (0major+665minor)pagefaults 0swaps