3.22/1.75	MAYBE
3.22/1.75	
3.22/1.75	Proof:
3.22/1.75	ConCon could not decide confluence of the system.
3.22/1.75	\cite{ALS94}, Theorem 4.1 does not apply.
3.22/1.75	This system is of type 3 or smaller.
3.22/1.75	This system is strongly deterministic.
3.22/1.75	This system is quasi-decreasing.
3.22/1.75	By \cite{A14}, Theorem 11.5.9.
3.22/1.75	This system is of type 3 or smaller.
3.22/1.75	This system is deterministic.
3.22/1.75	System R transformed to V(R) + Emb.
3.22/1.75	This system is terminating.
3.22/1.75	Call external tool:
3.22/1.75	./ttt2.sh
3.22/1.75	Input:
3.22/1.75	(VAR x y)
3.22/1.75	(RULES
3.22/1.75	  a -> c
3.22/1.75	  a -> d
3.22/1.75	  b -> c
3.22/1.75	  b -> d
3.22/1.75	  g(x, x) -> h(x, x)
3.22/1.75	  f(x) -> x
3.22/1.75	  h(x, y) -> x
3.22/1.75	  h(x, y) -> y
3.22/1.75	  g(x, y) -> x
3.22/1.75	  g(x, y) -> y
3.22/1.75	  f(x) -> x
3.22/1.75	)
3.22/1.75	
3.22/1.75	 Polynomial Interpretation Processor:
3.22/1.75	  dimension: 1
3.22/1.75	  interpretation:
3.22/1.75	   [f](x0) = 2x0 + 2,
3.22/1.75	   
3.22/1.75	   [h](x0, x1) = x0 + 4x1 + 1,
3.22/1.75	   
3.22/1.75	   [g](x0, x1) = 4x0 + x1 + x1x1 + 5,
3.22/1.75	   
3.22/1.75	   [b] = 1,
3.22/1.75	   
3.22/1.75	   [d] = 0,
3.22/1.75	   
3.22/1.75	   [c] = 0,
3.22/1.75	   
3.22/1.75	   [a] = 4
3.40/1.75	  orientation:
3.40/1.75	   a() = 4 >= 0 = c()
3.40/1.75	   
3.40/1.75	   a() = 4 >= 0 = d()
3.40/1.75	   
3.40/1.75	   b() = 1 >= 0 = c()
3.40/1.75	   
3.40/1.75	   b() = 1 >= 0 = d()
3.40/1.75	   
3.40/1.75	   g(x,x) = 5x + x*x + 5 >= 5x + 1 = h(x,x)
3.40/1.75	   
3.40/1.75	   f(x) = 2x + 2 >= x = x
3.40/1.75	   
3.40/1.75	   h(x,y) = x + 4y + 1 >= x = x
3.40/1.75	   
3.40/1.75	   h(x,y) = x + 4y + 1 >= y = y
3.40/1.75	   
3.40/1.75	   g(x,y) = 4x + y + y*y + 5 >= x = x
3.40/1.75	   
3.40/1.75	   g(x,y) = 4x + y + y*y + 5 >= y = y
3.40/1.75	  problem:
3.40/1.75	   
3.40/1.75	  Qed
3.40/1.75	ConCon could not decide whether all 4 critical pairs are joinable or not.
3.40/1.75	Overlap: (rule1: a -> d, rule2: a -> c, pos: ε, mgu: {})
3.40/1.75	CP: c = d
3.40/1.75	ConCon could not decide context-joinability of this critical pair.
3.40/1.75	
3.41/1.78	EOF