4.74/2.12	MAYBE
4.74/2.12	
4.74/2.12	Proof:
4.74/2.12	ConCon could not decide confluence of the system.
4.74/2.12	\cite{ALS94}, Theorem 4.1 does not apply.
4.74/2.12	This system is of type 3 or smaller.
4.74/2.12	This system is strongly deterministic.
4.74/2.12	This system is quasi-decreasing.
4.74/2.12	By \cite{A14}, Theorem 11.5.9.
4.74/2.12	This system is of type 3 or smaller.
4.74/2.12	This system is deterministic.
4.74/2.12	System R transformed to V(R) + Emb.
4.74/2.12	This system is terminating.
4.74/2.12	Call external tool:
4.74/2.12	./ttt2.sh
4.74/2.12	Input:
4.74/2.12	(VAR x y z)
4.74/2.12	(RULES
4.74/2.12	  f(x) -> x
4.74/2.12	  g(d, x, x) -> A
4.74/2.12	  h(x, x) -> g(x, x, f(k))
4.74/2.12	  a -> c
4.74/2.12	  a -> d
4.74/2.12	  b -> c
4.74/2.12	  b -> d
4.74/2.12	  c -> e
4.74/2.12	  c -> l
4.74/2.12	  k -> l
4.74/2.12	  k -> m
4.74/2.12	  d -> m
4.74/2.12	  h(x, y) -> x
4.74/2.12	  h(x, y) -> y
4.74/2.12	  g(x, y, z) -> x
4.74/2.12	  g(x, y, z) -> y
4.74/2.12	  g(x, y, z) -> z
4.74/2.12	  f(x) -> x
4.74/2.12	)
4.74/2.12	
4.74/2.12	 Polynomial Interpretation Processor:
4.74/2.12	  dimension: 1
4.74/2.12	  interpretation:
4.74/2.12	   [m] = 0,
4.74/2.12	   
4.74/2.12	   [l] = 0,
4.74/2.12	   
4.74/2.12	   [e] = 0,
4.74/2.12	   
4.74/2.12	   [b] = 5,
4.74/2.12	   
4.74/2.12	   [c] = 4,
4.74/2.12	   
4.74/2.12	   [a] = 5,
4.74/2.12	   
4.74/2.12	   [k] = 3,
4.74/2.12	   
4.74/2.12	   [h](x0, x1) = x0 + 7x1 + 7x0x0 + 7,
4.74/2.12	   
4.74/2.12	   [A] = 0,
4.74/2.12	   
4.74/2.12	   [g](x0, x1, x2) = 4x0 + x1 + x2 + 6x0x0 + x1x1 + 1,
4.74/2.12	   
4.74/2.12	   [d] = 3,
4.74/2.12	   
4.74/2.12	   [f](x0) = x0 + 2
4.74/2.12	  orientation:
4.74/2.12	   f(x) = x + 2 >= x = x
4.74/2.12	   
4.74/2.12	   g(d(),x,x) = 2x + x*x + 67 >= 0 = A()
4.74/2.12	   
4.74/2.12	   h(x,x) = 8x + 7x*x + 7 >= 5x + 7x*x + 6 = g(x,x,f(k()))
4.74/2.12	   
4.74/2.12	   a() = 5 >= 4 = c()
4.74/2.12	   
4.74/2.12	   a() = 5 >= 3 = d()
4.74/2.12	   
4.74/2.12	   b() = 5 >= 4 = c()
4.74/2.12	   
4.74/2.12	   b() = 5 >= 3 = d()
4.74/2.12	   
4.74/2.12	   c() = 4 >= 0 = e()
4.74/2.12	   
4.74/2.13	   c() = 4 >= 0 = l()
4.74/2.13	   
4.74/2.13	   k() = 3 >= 0 = l()
4.74/2.13	   
4.74/2.13	   k() = 3 >= 0 = m()
4.74/2.13	   
4.74/2.13	   d() = 3 >= 0 = m()
4.74/2.13	   
4.74/2.13	   h(x,y) = x + 7x*x + 7y + 7 >= x = x
4.74/2.13	   
4.74/2.13	   h(x,y) = x + 7x*x + 7y + 7 >= y = y
4.74/2.13	   
4.74/2.13	   g(x,y,z) = 4x + 6x*x + y + y*y + z + 1 >= x = x
4.74/2.13	   
4.74/2.13	   g(x,y,z) = 4x + 6x*x + y + y*y + z + 1 >= y = y
4.74/2.13	   
4.74/2.13	   g(x,y,z) = 4x + 6x*x + y + y*y + z + 1 >= z = z
4.74/2.13	  problem:
4.74/2.13	   
4.74/2.13	  Qed
4.74/2.13	ConCon could not decide whether all 9 critical pairs are joinable or not.
4.74/2.13	Overlap: (rule1: g(d, y, y) -> A, rule2: d -> m, pos: 1, mgu: {})
4.74/2.13	CP: g(m, y, y) = A
4.74/2.13	ConCon could not decide context-joinability of this critical pair.
4.74/2.13	
4.74/2.15	EOF