5.75/1.98	MAYBE
5.75/1.98	
5.75/1.98	Proof:
5.75/1.98	ConCon could not decide confluence of the system.
5.75/1.98	\cite{ALS94}, Theorem 4.1 does not apply.
5.75/1.98	This system is of type 3 or smaller.
5.75/1.98	This system is strongly deterministic.
5.75/1.98	This system is quasi-decreasing.
5.75/1.98	By \cite{O02}, p. 214, Proposition 7.2.50.
5.75/1.98	This system is of type 3 or smaller.
5.75/1.98	This system is deterministic.
5.75/1.98	System R transformed to optimized U(R).
5.75/1.98	This system is terminating.
5.75/1.98	Call external tool:
5.75/1.98	./ttt2.sh
5.75/1.98	Input:
5.75/1.98	  pin(a) -> pout(b)
5.75/1.98	  pin(b) -> pout(c)
5.75/1.98	  tc(x) -> x
5.75/1.98	  tc(x) -> ?1(pin(x), x)
5.75/1.98	  ?1(pout(z), x) -> ?2(tc(z), x, z)
5.75/1.98	  ?2(y, x, z) -> y
5.75/1.98	
5.75/1.98	 Matrix Interpretation Processor: dim=1
5.75/1.98	  
5.75/1.98	  interpretation:
5.75/1.98	   [?2](x0, x1, x2) = x0 + 4x1 + x2 + 1,
5.75/1.98	   
5.75/1.98	   [?1](x0, x1) = 2x0 + 5x1 + 6,
5.75/1.98	   
5.75/1.98	   [tc](x0) = 7x0 + 6,
5.75/1.98	   
5.75/1.98	   [c] = 0,
5.75/1.98	   
5.75/1.98	   [pout](x0) = 4x0 + 1,
5.75/1.98	   
5.75/1.98	   [b] = 1,
5.75/1.98	   
5.75/1.98	   [pin](x0) = x0,
5.75/1.98	   
5.75/1.98	   [a] = 5
5.75/1.98	  orientation:
5.75/1.98	   pin(a()) = 5 >= 5 = pout(b())
5.75/1.98	   
5.75/1.98	   pin(b()) = 1 >= 1 = pout(c())
5.75/1.98	   
5.75/1.98	   tc(x) = 7x + 6 >= x = x
5.75/1.98	   
5.75/1.98	   tc(x) = 7x + 6 >= 7x + 6 = ?1(pin(x),x)
5.75/1.98	   
5.75/1.98	   ?1(pout(z),x) = 5x + 8z + 8 >= 4x + 8z + 7 = ?2(tc(z),x,z)
5.75/1.98	   
5.75/1.98	   ?2(y,x,z) = 4x + y + z + 1 >= y = y
5.75/1.98	  problem:
5.75/1.98	   pin(a()) -> pout(b())
5.75/1.98	   pin(b()) -> pout(c())
5.75/1.98	   tc(x) -> ?1(pin(x),x)
5.75/1.98	  Matrix Interpretation Processor: dim=1
5.75/1.98	   
5.75/1.98	   interpretation:
5.75/1.98	    [?1](x0, x1) = x0 + x1,
5.75/1.98	    
5.75/1.98	    [tc](x0) = 5x0 + 2,
5.75/1.98	    
5.75/1.98	    [c] = 4,
5.75/1.98	    
5.75/1.98	    [pout](x0) = 4x0,
5.75/1.98	    
5.75/1.98	    [b] = 4,
5.75/1.98	    
5.75/1.98	    [pin](x0) = 4x0,
5.75/1.98	    
5.75/1.98	    [a] = 5
5.75/1.98	   orientation:
5.75/1.98	    pin(a()) = 20 >= 16 = pout(b())
5.75/1.98	    
5.75/1.98	    pin(b()) = 16 >= 16 = pout(c())
5.75/1.98	    
5.75/1.98	    tc(x) = 5x + 2 >= 5x = ?1(pin(x),x)
5.75/1.98	   problem:
5.75/1.98	    pin(b()) -> pout(c())
5.75/1.98	   Matrix Interpretation Processor: dim=3
5.75/1.98	    
5.75/1.98	    interpretation:
5.75/1.98	           [0]
5.75/1.98	     [c] = [0]
5.75/1.98	           [0],
5.75/1.98	     
5.75/1.98	                  [1 0 0]  
5.75/1.98	     [pout](x0) = [0 0 0]x0
5.75/1.98	                  [0 0 0]  ,
5.75/1.98	     
5.75/1.98	           [0]
5.75/1.98	     [b] = [0]
5.75/1.98	           [0],
5.75/1.98	     
5.75/1.98	                 [1 0 0]     [1]
5.75/1.98	     [pin](x0) = [0 0 0]x0 + [0]
5.75/1.98	                 [0 0 0]     [0]
5.75/1.98	    orientation:
5.75/1.98	                [1]    [0]            
5.75/1.98	     pin(b()) = [0] >= [0] = pout(c())
5.75/1.98	                [0]    [0]            
5.75/1.98	    problem:
5.75/1.98	     
5.75/1.98	    Qed
5.75/1.98	This critical pair is conditional.
5.75/1.98	This critical pair has some non-trivial conditions.
5.75/1.98	ConCon could not decide whether all 2 critical pairs are joinable or not.
5.75/1.98	Overlap: (rule1: tc(x') -> y' <= pin(x') = pout(z'), tc(z') = y', rule2: tc(y) -> y, pos: ε, mgu: {(y,x')})
5.75/1.98	CP: x' = y' <= pin(x') = pout(z'), tc(z') = y'
5.75/1.98	ConCon could not decide infeasibility of this critical pair.
5.75/1.98	No answer returned from Waldmeister.
5.75/1.98	
5.75/2.01	EOF