2.37/1.67	MAYBE
2.37/1.67	
2.37/1.67	Proof:
2.37/1.67	ConCon could not decide confluence of the system.
2.37/1.67	\cite{ALS94}, Theorem 4.1 does not apply.
2.37/1.67	This system is of type 3 or smaller.
2.37/1.67	This system is strongly deterministic.
2.37/1.67	This system is quasi-decreasing.
2.37/1.67	By \cite{O02}, p. 214, Proposition 7.2.50.
2.37/1.67	This system is of type 3 or smaller.
2.37/1.67	This system is deterministic.
2.37/1.67	System R transformed to U(R).
2.37/1.67	This system is terminating.
2.37/1.67	Call external tool:
2.37/1.67	./ttt2.sh
2.37/1.67	Input:
2.37/1.67	(VAR x)
2.37/1.67	(RULES
2.37/1.67	  ?1(b, x) -> a
2.37/1.67	  f(x) -> ?1(x, x)
2.37/1.67	  a -> b
2.37/1.67	  a -> c
2.37/1.67	)
2.37/1.67	
2.37/1.67	 Polynomial Interpretation Processor:
2.37/1.67	  dimension: 1
2.37/1.67	  interpretation:
2.37/1.67	   [c] = 0,
2.37/1.67	   
2.37/1.67	   [f](x0) = 5x0x0 + 4,
2.37/1.67	   
2.37/1.67	   [a] = 2,
2.37/1.67	   
2.37/1.67	   [?1](x0, x1) = -2x0 + 4x0x0 + x1x1 + 3,
2.37/1.67	   
2.37/1.67	   [b] = 0
2.37/1.67	  orientation:
2.37/1.67	   ?1(b(),x) = x*x + 3 >= 2 = a()
2.37/1.67	   
2.37/1.67	   f(x) = 5x*x + 4 >= -2x + 5x*x + 3 = ?1(x,x)
2.37/1.67	   
2.37/1.67	   a() = 2 >= 0 = b()
2.37/1.67	   
2.37/1.67	   a() = 2 >= 0 = c()
2.37/1.67	  problem:
2.37/1.67	   
2.37/1.67	  Qed
2.37/1.67	ConCon could not decide whether all 2 critical pairs are joinable or not.
2.37/1.67	Overlap: (rule1: a -> c, rule2: a -> b, pos: ε, mgu: {})
2.37/1.67	CP: b = c
2.37/1.67	ConCon could not decide context-joinability of this critical pair.
2.37/1.67	
2.37/1.69	EOF