3.67/1.99	MAYBE
3.67/1.99	
3.67/1.99	Proof:
3.67/1.99	ConCon could not decide confluence of the system.
3.67/1.99	\cite{ALS94}, Theorem 4.1 does not apply.
3.67/1.99	This system is of type 3 or smaller.
3.67/1.99	This system is strongly deterministic.
3.67/1.99	This system is quasi-decreasing.
3.67/1.99	By \cite{A14}, Theorem 11.5.9.
3.67/1.99	This system is of type 3 or smaller.
3.67/1.99	This system is deterministic.
3.67/1.99	System R transformed to V(R) + Emb.
3.67/1.99	This system is terminating.
3.67/1.99	Call external tool:
3.67/1.99	./ttt2.sh
3.67/1.99	Input:
3.67/1.99	(VAR x y)
3.67/1.99	(RULES
3.67/1.99	  s(a) -> c
3.67/1.99	  s(b) -> c
3.67/1.99	  c -> t(k)
3.67/1.99	  c -> t(l)
3.67/1.99	  f(x) -> s(x)
3.67/1.99	  g(x, x) -> h(x, x)
3.67/1.99	  h(x, y) -> x
3.67/1.99	  h(x, y) -> y
3.67/1.99	  s(x) -> x
3.67/1.99	  g(x, y) -> x
3.67/1.99	  g(x, y) -> y
3.67/1.99	  t(x) -> x
3.67/1.99	  f(x) -> x
3.67/1.99	)
3.67/1.99	
3.67/1.99	 Polynomial Interpretation Processor:
3.67/1.99	  dimension: 1
3.67/1.99	  interpretation:
3.67/1.99	   [h](x0, x1) = x0 + 2x1 + 2,
3.67/1.99	   
3.67/1.99	   [g](x0, x1) = 4x0 + 4x1 + 5,
3.67/1.99	   
3.67/1.99	   [f](x0) = 4x0 + 5,
3.67/1.99	   
3.67/1.99	   [l] = 0,
3.67/1.99	   
3.67/1.99	   [t](x0) = 4x0 + 4,
3.67/1.99	   
3.67/1.99	   [k] = 0,
3.67/1.99	   
3.67/1.99	   [b] = 2,
3.67/1.99	   
3.67/1.99	   [c] = 5,
3.67/1.99	   
3.67/1.99	   [s](x0) = 2x0 + 4,
3.67/1.99	   
3.67/1.99	   [a] = 4
3.67/1.99	  orientation:
3.67/1.99	   s(a()) = 12 >= 5 = c()
3.67/1.99	   
3.67/1.99	   s(b()) = 8 >= 5 = c()
3.67/1.99	   
3.67/1.99	   c() = 5 >= 4 = t(k())
3.67/1.99	   
3.67/1.99	   c() = 5 >= 4 = t(l())
3.67/1.99	   
3.67/1.99	   f(x) = 4x + 5 >= 2x + 4 = s(x)
3.67/1.99	   
3.67/1.99	   g(x,x) = 8x + 5 >= 3x + 2 = h(x,x)
3.67/1.99	   
3.67/1.99	   h(x,y) = x + 2y + 2 >= x = x
3.67/1.99	   
3.67/1.99	   h(x,y) = x + 2y + 2 >= y = y
3.67/1.99	   
3.67/1.99	   s(x) = 2x + 4 >= x = x
3.67/1.99	   
3.67/1.99	   g(x,y) = 4x + 4y + 5 >= x = x
3.67/1.99	   
3.67/1.99	   g(x,y) = 4x + 4y + 5 >= y = y
3.67/1.99	   
3.67/1.99	   t(x) = 4x + 4 >= x = x
3.67/1.99	   
3.67/1.99	   f(x) = 4x + 5 >= x = x
3.67/1.99	  problem:
3.67/1.99	   
3.67/1.99	  Qed
3.67/1.99	ConCon could not decide whether all 2 critical pairs are joinable or not.
3.67/1.99	Overlap: (rule1: c -> t(l), rule2: c -> t(k), pos: ε, mgu: {})
3.67/1.99	CP: t(k) = t(l)
3.67/1.99	ConCon could not decide unfeasibility of this critical pair.
3.67/1.99	
4.50/2.02	EOF