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 1)
0.001/0.001	(h 1)
0.001/0.001	(d)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S) -> d(X:S)
0.001/0.001	f(f(X:S)) -> c(f(g(f(X:S))))
0.001/0.001	h(X:S) -> c(d(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 1)
0.001/0.001	(h 1)
0.001/0.001	(d)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S) -> d(X:S)
0.001/0.001	f(f(X:S)) -> c(f(g(f(X:S))))
0.001/0.001	h(X:S) -> c(d(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 1)
0.001/0.001	(h 1)
0.001/0.001	(d)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S) -> d(X:S)
0.001/0.001	f(f(X:S)) -> c(f(g(f(X:S))))
0.001/0.001	h(X:S) -> c(d(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	 c(X:S) -> d(X:S)
0.001/0.001	 f(f(X:S)) -> c(f(g(f(X:S))))
0.001/0.001	 h(X:S) -> c(d(X:S))
0.001/0.001	-> Vars:
0.001/0.001	 X, X, X
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X], UV-RFrozen: [X])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [X], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [X])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [X], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [X])
0.001/0.001	-> FVars:
0.001/0.001	 x2, x3, x4
0.001/0.001	-> PVars:
0.001/0.001	 X: [x2, x3, x4]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: c(x2:S) -> d(x2:S), id: 1, possubterms: c(x2:S)->[])
0.001/0.001	 (rule: f(f(x3:S)) -> c(f(g(f(x3:S)))), id: 2, possubterms: f(f(x3:S))->[], f(x3:S)->[1])
0.001/0.001	 (rule: h(x4:S) -> c(d(x4:S)), id: 3, possubterms: h(x4:S)->[])
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	(R2 unifies with R2 at p: [1], l: f(f(x3:S)), lp: f(x3:S), sig: {x3:S -> f(X:S)}, l': f(f(X:S)), r: c(f(g(f(x3:S)))), r': c(f(g(f(X:S)))))
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	<f(c(f(g(f(X:S))))),c(f(g(f(f(X:S)))))>   =>  Not trivial, Not overlay, NW0, N1
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, 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(c(f(g(f(X:S)))))
0.001/0.001	Nodes: [0,1]
0.001/0.001	Edges: [(0,1)]
0.001/0.001	ID: 0 => ('f(c(f(g(f(X:S)))))', D0)
0.001/0.001	ID: 1 => ('f(d(f(g(f(X:S)))))', D1, R1, P[1], S{x2:S -> f(g(f(X:S)))}), NR: 'd(f(g(f(X:S))))'
0.001/0.001	t: c(f(g(f(f(X:S)))))
0.001/0.001	Nodes: [0,1]
0.001/0.001	Edges: [(0,1)]
0.001/0.001	ID: 0 => ('c(f(g(f(f(X:S)))))', D0)
0.001/0.001	ID: 1 => ('d(f(g(f(f(X:S)))))', D1, R1, P[], S{x2:S -> f(g(f(f(X:S))))}), NR: 'd(f(g(f(f(X:S)))))'
0.001/0.001	f(c(f(g(f(X:S))))) ->* no union *<- c(f(g(f(f(X:S)))))
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 53%CPU (0avgtext+0avgdata 9268maxresident)k
0.001/0.001	0inputs+0outputs (0major+738minor)pagefaults 0swaps