4.81/2.13	MAYBE
4.81/2.13	
4.81/2.13	Proof:
4.81/2.13	ConCon could not decide confluence of the system.
4.81/2.13	\cite{ALS94}, Theorem 4.1 does not apply.
4.81/2.13	This system is of type 3 or smaller.
4.81/2.13	This system is strongly deterministic.
4.81/2.13	This system is quasi-decreasing.
4.81/2.13	By \cite{A14}, Theorem 11.5.9.
4.81/2.13	This system is of type 3 or smaller.
4.81/2.13	This system is deterministic.
4.81/2.13	System R transformed to V(R) + Emb.
4.81/2.13	This system is terminating.
4.81/2.13	Call external tool:
4.81/2.13	./ttt2.sh
4.81/2.13	Input:
4.81/2.13	(VAR x y)
4.81/2.13	(RULES
4.81/2.13	  f(x) -> A
4.81/2.13	  f(x) -> s(x)
4.81/2.13	  f(x) -> B
4.81/2.13	  s(a) -> t
4.81/2.13	  s(b) -> t
4.81/2.13	  a -> c
4.81/2.13	  b -> c
4.81/2.13	  g(x, x) -> h(x, x)
4.81/2.13	  h(x, y) -> x
4.81/2.13	  h(x, y) -> y
4.81/2.13	  s(x) -> x
4.81/2.13	  g(x, y) -> x
4.81/2.13	  g(x, y) -> y
4.81/2.13	  f(x) -> x
4.81/2.13	)
4.81/2.13	
4.81/2.13	 Polynomial Interpretation Processor:
4.81/2.13	  dimension: 1
4.81/2.13	  interpretation:
4.81/2.13	   [h](x0, x1) = 4x0 + 2x1 + x1x1 + 1,
4.81/2.13	   
4.81/2.13	   [g](x0, x1) = x0 + 5x1 + x0x0 + 5,
4.81/2.13	   
4.81/2.13	   [c] = 0,
4.81/2.13	   
4.81/2.13	   [b] = 4,
4.81/2.13	   
4.81/2.13	   [t] = 0,
4.81/2.13	   
4.81/2.13	   [a] = 1,
4.81/2.13	   
4.81/2.13	   [B] = 0,
4.81/2.13	   
4.87/2.13	   [s](x0) = 4x0 + 6,
4.87/2.13	   
4.87/2.13	   [A] = 0,
4.87/2.13	   
4.87/2.13	   [f](x0) = 4x0 + 7
4.87/2.13	  orientation:
4.87/2.13	   f(x) = 4x + 7 >= 0 = A()
4.87/2.13	   
4.87/2.13	   f(x) = 4x + 7 >= 4x + 6 = s(x)
4.87/2.13	   
4.87/2.13	   f(x) = 4x + 7 >= 0 = B()
4.87/2.13	   
4.87/2.13	   s(a()) = 10 >= 0 = t()
4.87/2.13	   
4.87/2.13	   s(b()) = 22 >= 0 = t()
4.87/2.13	   
4.87/2.13	   a() = 1 >= 0 = c()
4.87/2.13	   
4.87/2.13	   b() = 4 >= 0 = c()
4.87/2.13	   
4.87/2.13	   g(x,x) = 6x + x*x + 5 >= 6x + x*x + 1 = h(x,x)
4.87/2.13	   
4.87/2.13	   h(x,y) = 4x + 2y + y*y + 1 >= x = x
4.87/2.13	   
4.87/2.13	   h(x,y) = 4x + 2y + y*y + 1 >= y = y
4.87/2.13	   
4.87/2.13	   s(x) = 4x + 6 >= x = x
4.87/2.13	   
4.87/2.13	   g(x,y) = x + x*x + 5y + 5 >= x = x
4.87/2.13	   
4.87/2.13	   g(x,y) = x + x*x + 5y + 5 >= y = y
4.87/2.13	   
4.87/2.13	   f(x) = 4x + 7 >= x = x
4.87/2.13	  problem:
4.87/2.13	   
4.87/2.13	  Qed
4.87/2.13	This critical pair is conditional.
4.87/2.14	This critical pair has some non-trivial conditions.
4.87/2.14	ConCon could not decide whether all 4 critical pairs are joinable or not.
4.87/2.14	Overlap: (rule1: f(y) -> B <= s(y) = t, rule2: f(z) -> A <= s(z) = t, pos: ε, mgu: {(y,z)})
4.87/2.14	CP: A = B <= s(z) = t, s(z) = t
4.87/2.14	ConCon could not decide infeasibility of this critical pair.
4.87/2.14	don't know if infeasible
4.87/2.14	
4.87/2.16	EOF