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	(f 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	(h 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(X:S) -> g(h(f(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	(f 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	(h 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(X:S) -> g(h(f(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	(f 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	(h 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(X:S) -> g(h(f(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(x2:S) -> g(h(f(x2:S)))
0.001/0.001	 Rule 1 (l' :-> r') => f(X:S) -> g(h(f(X:S)))
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)}
0.001/0.001	 s => g(h(f(f(X:S))))
0.001/0.001	 t => f(g(h(f(X:S))))
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	(f 1)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(g)
0.001/0.001	(h 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(X:S) -> g(h(f(X:S)))
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	<g(h(f(f(X:S)))),f(g(h(f(X:S))))>   =>  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	 f(X:S) -> g(h(f(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: [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: f(x2:S) -> g(h(f(x2:S))), id: 1, possubterms: f(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	<g(h(f(f(X:S)))),f(g(h(f(X:S))))>   =>  Not trivial, Not overlay, NW1, 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: g(h(f(f(X:S))))
0.001/0.001	Nodes: [0]
0.001/0.001	Edges: []
0.001/0.001	ID: 0 => ('g(h(f(f(X:S))))', D0)
0.001/0.001	t: f(g(h(f(X:S))))
0.001/0.001	Nodes: [0,1]
0.001/0.001	Edges: [(0,1)]
0.001/0.001	ID: 0 => ('f(g(h(f(X:S))))', D0)
0.001/0.001	ID: 1 => ('g(h(f(g(h(f(X:S))))))', D1, R1, P[], S{x2:S -> g(h(f(X:S)))}), NR: 'g(h(f(g(h(f(X:S))))))'
0.001/0.001	g(h(f(f(X:S)))) ->* no union *<- f(g(h(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 50%CPU (0avgtext+0avgdata 9572maxresident)k
0.001/0.001	0inputs+0outputs (0major+735minor)pagefaults 0swaps