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 v_NonEmpty:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(c)
0.001/0.001	(f 1)
0.001/0.001	(h)
0.001/0.001	(d 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S:S) -> d(X:S:S)
0.001/0.001	f(f(X:S:S)) -> c(f(g(f(X:S:S))))
0.001/0.001	h(X:S:S) -> c(d(X:S: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 v_NonEmpty:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(c)
0.001/0.001	(f 1)
0.001/0.001	(h)
0.001/0.001	(d 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S:S) -> d(X:S:S)
0.001/0.001	f(f(X:S:S)) -> c(f(g(f(X:S:S))))
0.001/0.001	h(X:S:S) -> c(d(X:S: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 v_NonEmpty:S:S X:S:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(c)
0.001/0.001	(f 1)
0.001/0.001	(h)
0.001/0.001	(d 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	c(X:S:S) -> d(X:S:S)
0.001/0.001	f(f(X:S:S)) -> c(f(g(f(X:S:S))))
0.001/0.001	h(X:S:S) -> c(d(X:S: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:S) -> d(X:S:S)
0.001/0.001	 f(f(X:S:S)) -> c(f(g(f(X:S:S))))
0.001/0.001	 h(X:S:S) -> c(d(X:S:S))
0.001/0.001	-> Vars:
0.001/0.001	 X:S, X:S, X:S
0.001/0.001	-> UVars:
0.001/0.001	 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [X:S], UV-LFrozen: [X:S], UV-RFrozen: [])
0.001/0.001	 (UV-RuleId: 2, UV-LActive: [X:S], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [X:S])
0.001/0.001	 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X:S], UV-RFrozen: [X:S])
0.001/0.001	-> FVars:
0.001/0.001	 x3, x4, x5
0.001/0.001	-> PVars:
0.001/0.001	 X:S: [x3, x4, x5]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	 (rule: c(x3:S) -> d(x3:S), id: 1, possubterms: c(x3:S)->[])
0.001/0.001	 (rule: f(f(x4:S)) -> c(f(g(f(x4:S)))), id: 2, possubterms: f(f(x4:S))->[], f(x4:S)->[1])
0.001/0.001	 (rule: h(x5:S) -> c(d(x5:S)), id: 3, possubterms: h(x5:S)->[])
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	(R2 unifies with R2 at p: [1], l: f(f(x4:S)), lp: f(x4:S), sig: {x4:S -> f(X:S:S)}, l': f(f(X:S:S)), r: c(f(g(f(x4:S)))), r': c(f(g(f(X:S:S)))))
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	<f(c(f(g(f(X:S:S))))),c(f(g(f(f(X:S: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: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:S)))))', D0)
0.001/0.001	ID: 1 => ('f(d(f(g(f(X:S:S)))))', D1, R1, P[1], S{x3:S -> f(g(f(X:S:S)))}), NR: 'd(f(g(f(X:S:S))))'
0.001/0.001	t: c(f(g(f(f(X:S:S)))))
0.001/0.001	Nodes: [0,1,2,3]
0.001/0.001	Edges: [(0,1),(1,2),(2,3)]
0.001/0.001	ID: 0 => ('c(f(g(f(f(X:S:S)))))', D0)
0.001/0.001	ID: 1 => ('d(f(g(f(f(X:S:S)))))', D1, R1, P[], S{x3:S -> f(g(f(f(X:S:S))))}), NR: 'd(f(g(f(f(X:S:S)))))'
0.001/0.001	ID: 2 => ('d(f(g(c(f(g(f(X:S:S)))))))', D2, R2, P[1, 1, 1], S{x4:S -> X:S:S}), NR: 'c(f(g(f(X:S:S))))'
0.001/0.001	ID: 3 => ('d(f(g(d(f(g(f(X:S:S)))))))', D3, R1, P[1, 1, 1], S{x3:S -> f(g(f(X:S:S)))}), NR: 'd(f(g(f(X:S:S))))'
0.001/0.001	f(c(f(g(f(X:S:S))))) ->* no union *<- c(f(g(f(f(X:S: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 58%CPU (0avgtext+0avgdata 9472maxresident)k
0.001/0.001	8inputs+0outputs (0major+752minor)pagefaults 0swaps