4.43/2.03	MAYBE
4.43/2.03	
4.43/2.03	Proof:
4.43/2.03	ConCon could not decide confluence of the system.
4.43/2.03	Inlined conditions in System R.
4.43/2.03	\cite{ALS94}, Theorem 4.1 does not apply.
4.43/2.03	This system is of type 3 or smaller.
4.43/2.03	This system is strongly deterministic.
4.43/2.03	This system is quasi-decreasing.
4.43/2.03	By \cite{O02}, p. 214, Proposition 7.2.50.
4.43/2.03	This system is of type 3 or smaller.
4.43/2.03	This system is deterministic.
4.43/2.03	System R transformed to U(R).
4.43/2.03	This system is terminating.
4.43/2.03	Call external tool:
4.43/2.03	./ttt2.sh
4.43/2.03	Input:
4.43/2.03	(VAR x z)
4.43/2.03	(RULES
4.43/2.03	  pin(a) -> pout(b)
4.43/2.03	  pin(b) -> pout(c)
4.43/2.03	  tc(x) -> x
4.43/2.03	  ?1(pout(z), x) -> tc(z)
4.43/2.03	  tc(x) -> ?1(pin(x), x)
4.43/2.03	)
4.43/2.03	
4.43/2.03	 Matrix Interpretation Processor: dim=1
4.43/2.03	  
4.43/2.03	  interpretation:
4.43/2.03	   [?1](x0, x1) = x0 + x1,
4.43/2.03	   
4.43/2.03	   [tc](x0) = 7x0 + 1,
4.43/2.03	   
4.43/2.03	   [c] = 0,
4.43/2.03	   
4.43/2.03	   [pout](x0) = 7x0 + 1,
4.43/2.03	   
4.43/2.03	   [b] = 1,
4.43/2.03	   
4.43/2.03	   [pin](x0) = 5x0,
4.43/2.03	   
4.43/2.03	   [a] = 4
4.43/2.03	  orientation:
4.43/2.03	   pin(a()) = 20 >= 8 = pout(b())
4.43/2.03	   
4.43/2.03	   pin(b()) = 5 >= 1 = pout(c())
4.43/2.03	   
4.43/2.03	   tc(x) = 7x + 1 >= x = x
4.43/2.03	   
4.43/2.03	   ?1(pout(z),x) = x + 7z + 1 >= 7z + 1 = tc(z)
4.43/2.03	   
4.43/2.03	   tc(x) = 7x + 1 >= 6x = ?1(pin(x),x)
4.43/2.03	  problem:
4.43/2.03	   ?1(pout(z),x) -> tc(z)
4.43/2.03	  Matrix Interpretation Processor: dim=3
4.43/2.03	   
4.43/2.03	   interpretation:
4.43/2.03	                   [1 0 0]     [1 0 0]     [1]
4.43/2.03	    [?1](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
4.43/2.04	                   [0 1 0]     [0 0 0]     [0],
4.43/2.04	    
4.43/2.04	               [1 0 0]  
4.43/2.04	    [tc](x0) = [0 0 0]x0
4.43/2.04	               [0 1 0]  ,
4.43/2.04	    
4.43/2.04	                 [1 0 0]  
4.43/2.04	    [pout](x0) = [0 1 0]x0
4.43/2.04	                 [0 0 0]  
4.43/2.04	   orientation:
4.43/2.04	                    [1 0 0]    [1 0 0]    [1]    [1 0 0]         
4.43/2.04	    ?1(pout(z),x) = [0 0 0]x + [0 0 0]z + [0] >= [0 0 0]z = tc(z)
4.43/2.04	                    [0 0 0]    [0 1 0]    [0]    [0 1 0]         
4.43/2.04	   problem:
4.43/2.04	    
4.43/2.04	   Qed
4.43/2.04	This critical pair is conditional.
4.43/2.04	This critical pair has some non-trivial conditions.
4.43/2.04	ConCon could not decide whether all 2 critical pairs are joinable or not.
4.43/2.04	Overlap: (rule1: tc(y) -> tc(x') <= pin(y) = pout(x'), rule2: tc(z) -> z, pos: ε, mgu: {(y,z)})
4.43/2.04	CP: z = tc(x') <= pin(z) = pout(x')
4.43/2.04	ConCon could not decide infeasibility of this critical pair.
4.43/2.04	don't know if infeasible
4.43/2.04	
4.43/2.06	EOF