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	(c)
0.001/0.001	(f 2)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c -> b
0.001/0.001	f(b,X:S,c) -> f(X:S,c,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)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(c)
0.001/0.001	(f 2)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c -> b
0.001/0.001	f(b,X:S,c) -> f(X:S,c,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	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	(c)
0.001/0.001	(f 2)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c -> b
0.001/0.001	f(b,X:S,c) -> f(X:S,c,X:S)
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(b,x2:S,c) -> f(x2:S,c,x2:S)
0.001/0.001	 Rule 2 (l' :-> r') => f(b,X:S,c) -> f(X:S,c,X:S)
0.001/0.001	 Var => x2:S
0.001/0.001	 Pos x2:S in l => [2]
0.001/0.001	 Sigma => {x2:S -> f(b,X:S,c)}
0.001/0.001	 s => f(f(b,X:S,c),c,f(b,X:S,c))
0.001/0.001	 t => f(b,f(X:S,c,X:S),c)
0.001/0.001	 NW => 1
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	(c)
0.001/0.001	(f 2)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c -> b
0.001/0.001	f(b,X:S,c) -> f(X:S,c,X:S)
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	<f(f(b,X:S,c),c,f(b,X:S,c)),f(b,f(X:S,c,X:S),c)>   =>  Not trivial, Not overlay, NW1, 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	 c -> b
0.001/0.001	 f(b,X:S,c) -> f(X:S,c,X:S)
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: [], UV-RFrozen: [X])
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: c -> b, id: 1, possubterms: c->[])
0.001/0.001	 (rule: f(b,x2:S,c) -> f(x2:S,c,x2:S), id: 2, possubterms: f(b,x2:S,c)->[])
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(f(b,X:S,c),c,f(b,X:S,c)),f(b,f(X:S,c,X:S),c)>   =>  Not trivial, Not overlay, NW1, N1
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	 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	No Convergence Brute Force Processor:
0.001/0.001	-> Rewritings:
0.001/0.001	s: f(f(b,X:S,c),c,f(b,X:S,c))
0.001/0.001	Nodes: [0,1]
0.001/0.001	Edges: [(0,1)]
0.001/0.001	ID: 0 => ('f(f(b,X:S,c),c,f(b,X:S,c))', D0)
0.001/0.001	ID: 1 => ('f(f(b,X:S,c),b,f(b,X:S,c))', D1, R1, P[2], S{}), NR: 'b'
0.001/0.001	t: f(b,f(X:S,c,X:S),c)
0.001/0.001	Nodes: [0,1,2,3,4,5]
0.001/0.001	Edges: [(0,1),(0,2),(1,3),(2,4),(3,5)]
0.001/0.001	ID: 0 => ('f(b,f(X:S,c,X:S),c)', D0)
0.001/0.001	ID: 1 => ('f(b,f(X:S,b,X:S),c)', D1, R1, P[2, 2], S{}), NR: 'b'
0.001/0.001	ID: 2 => ('f(f(X:S,c,X:S),c,f(X:S,c,X:S))', D1, R2, P[], S{x2:S -> f(X:S,c,X:S)}), NR: 'f(f(X:S,c,X:S),c,f(X:S,c,X:S))'
0.001/0.001	ID: 3 => ('f(f(X:S,b,X:S),c,f(X:S,b,X:S))', D2, R2, P[], S{x2:S -> f(X:S,b,X:S)}), NR: 'f(f(X:S,b,X:S),c,f(X:S,b,X:S))'
0.001/0.001	ID: 4 => ('f(f(X:S,c,X:S),b,f(X:S,c,X:S))', D2, R1, P[2], S{}), NR: 'b'
0.001/0.001	ID: 5 => ('f(f(X:S,b,X:S),b,f(X:S,b,X:S))', D3, R1, P[2], S{}), NR: 'b'
0.001/0.001	f(f(b,X:S,c),c,f(b,X:S,c)) ->* no union *<- f(b,f(X:S,c,X:S),c)
0.001/0.001	"Not joinable"
0.001/0.001	
0.001/0.001	The problem is not joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 64%CPU (0avgtext+0avgdata 9544maxresident)k
0.001/0.001	0inputs+0outputs (0major+745minor)pagefaults 0swaps