3.38/1.80	MAYBE
3.38/1.80	
3.38/1.80	Proof:
3.38/1.80	ConCon could not decide confluence of the system.
3.38/1.80	\cite{ALS94}, Theorem 4.1 does not apply.
3.38/1.80	This system is of type 3 or smaller.
3.38/1.80	This system is strongly deterministic.
3.38/1.80	This system is quasi-decreasing.
3.38/1.80	By \cite{A14}, Theorem 11.5.9.
3.38/1.80	This system is of type 3 or smaller.
3.38/1.80	This system is deterministic.
3.38/1.80	System R transformed to V(R) + Emb.
3.38/1.80	This system is terminating.
3.38/1.80	Call external tool:
3.38/1.80	./ttt2.sh
3.38/1.80	Input:
3.38/1.80	(VAR x)
3.38/1.80	(RULES
3.38/1.80	  a -> c
3.38/1.80	  a -> d
3.38/1.80	  s(c) -> t(k)
3.38/1.80	  f(x) -> s(x)
3.38/1.80	  s(x) -> x
3.38/1.80	  t(x) -> x
3.38/1.80	  f(x) -> x
3.38/1.80	)
3.38/1.80	
3.38/1.80	 Polynomial Interpretation Processor:
3.38/1.81	  dimension: 1
3.38/1.81	  interpretation:
3.38/1.81	   [f](x0) = x0 + 3,
3.38/1.81	   
3.38/1.81	   [t](x0) = x0 + 1,
3.38/1.81	   
3.38/1.81	   [k] = 1,
3.38/1.81	   
3.38/1.81	   [s](x0) = x0 + 1,
3.38/1.81	   
3.38/1.81	   [d] = 0,
3.38/1.81	   
3.38/1.81	   [c] = 2,
3.38/1.81	   
3.38/1.81	   [a] = 4
3.38/1.81	  orientation:
3.38/1.81	   a() = 4 >= 2 = c()
3.38/1.81	   
3.38/1.81	   a() = 4 >= 0 = d()
3.38/1.81	   
3.38/1.81	   s(c()) = 3 >= 2 = t(k())
3.38/1.81	   
3.38/1.81	   f(x) = x + 3 >= x + 1 = s(x)
3.38/1.81	   
3.38/1.81	   s(x) = x + 1 >= x = x
3.38/1.81	   
3.38/1.81	   t(x) = x + 1 >= x = x
3.38/1.81	   
3.38/1.81	   f(x) = x + 3 >= x = x
3.38/1.81	  problem:
3.38/1.81	   
3.38/1.81	  Qed
3.38/1.81	ConCon could not decide whether all 2 critical pairs are joinable or not.
3.38/1.81	Overlap: (rule1: a -> d, rule2: a -> c, pos: ε, mgu: {})
3.38/1.81	CP: c = d
3.38/1.81	ConCon could not decide context-joinability of this critical pair.
3.38/1.81	
3.38/1.84	EOF