4.90/2.20	MAYBE
4.90/2.20	
4.90/2.20	Proof:
4.90/2.20	ConCon could not decide confluence of the system.
4.90/2.20	\cite{ALS94}, Theorem 4.1 does not apply.
4.90/2.20	This system is of type 3 or smaller.
4.90/2.20	This system is strongly deterministic.
4.90/2.20	This system is quasi-decreasing.
4.90/2.20	By \cite{A14}, Theorem 11.5.9.
4.90/2.20	This system is of type 3 or smaller.
4.90/2.20	This system is deterministic.
4.90/2.20	System R transformed to V(R) + Emb.
4.90/2.20	This system is terminating.
4.90/2.20	Call external tool:
4.90/2.20	./ttt2.sh
4.90/2.20	Input:
4.90/2.20	(VAR x y z)
4.90/2.20	(RULES
4.90/2.20	  f(x) -> x
4.90/2.20	  g(d, x, x) -> A
4.90/2.20	  h(x, x) -> g(x, x, f(k))
4.90/2.20	  c -> e'
4.90/2.20	  a -> c
4.90/2.20	  a -> d
4.90/2.20	  b -> c
4.90/2.20	  b -> d
4.90/2.20	  c -> e
4.90/2.20	  c -> l
4.90/2.20	  k -> l
4.90/2.20	  k -> m
4.90/2.20	  d -> m
4.90/2.20	  h(x, y) -> x
4.90/2.20	  h(x, y) -> y
4.90/2.20	  g(x, y, z) -> x
4.90/2.20	  g(x, y, z) -> y
4.90/2.20	  g(x, y, z) -> z
4.90/2.20	  f(x) -> x
4.90/2.20	)
4.90/2.20	
4.90/2.20	 Polynomial Interpretation Processor:
4.90/2.20	  dimension: 1
4.90/2.20	  interpretation:
4.90/2.20	   [m] = 0,
4.90/2.20	   
4.90/2.20	   [l] = 0,
4.90/2.20	   
4.90/2.20	   [e] = 0,
4.90/2.20	   
4.90/2.20	   [b] = 4,
4.90/2.20	   
4.90/2.20	   [a] = 4,
4.90/2.20	   
4.90/2.20	   [e'] = 0,
4.90/2.20	   
4.90/2.20	   [c] = 1,
4.90/2.20	   
4.90/2.20	   [k] = 1,
4.90/2.20	   
4.90/2.20	   [h](x0, x1) = x0 + 6x1 + x1x1 + 7,
4.90/2.20	   
4.90/2.20	   [A] = 0,
4.90/2.20	   
4.90/2.20	   [g](x0, x1, x2) = x0 + 6x1 + x2 + 1,
4.90/2.20	   
4.90/2.20	   [d] = 1,
4.90/2.20	   
4.90/2.20	   [f](x0) = 4x0 + 1
4.90/2.20	  orientation:
4.90/2.20	   f(x) = 4x + 1 >= x = x
4.90/2.20	   
4.90/2.20	   g(d(),x,x) = 7x + 2 >= 0 = A()
4.90/2.20	   
4.90/2.20	   h(x,x) = 7x + x*x + 7 >= 7x + 6 = g(x,x,f(k()))
4.90/2.20	   
4.90/2.20	   c() = 1 >= 0 = e'()
4.90/2.20	   
4.90/2.20	   a() = 4 >= 1 = c()
4.90/2.20	   
4.90/2.20	   a() = 4 >= 1 = d()
4.90/2.20	   
4.90/2.20	   b() = 4 >= 1 = c()
4.90/2.20	   
4.90/2.20	   b() = 4 >= 1 = d()
4.90/2.20	   
4.90/2.20	   c() = 1 >= 0 = e()
4.90/2.20	   
4.90/2.20	   c() = 1 >= 0 = l()
4.90/2.20	   
4.90/2.20	   k() = 1 >= 0 = l()
4.90/2.20	   
4.90/2.20	   k() = 1 >= 0 = m()
4.90/2.20	   
4.90/2.20	   d() = 1 >= 0 = m()
4.90/2.20	   
4.90/2.20	   h(x,y) = x + 6y + y*y + 7 >= x = x
4.90/2.20	   
4.90/2.20	   h(x,y) = x + 6y + y*y + 7 >= y = y
4.90/2.20	   
4.90/2.20	   g(x,y,z) = x + 6y + z + 1 >= x = x
4.90/2.20	   
4.90/2.20	   g(x,y,z) = x + 6y + z + 1 >= y = y
4.90/2.20	   
4.90/2.20	   g(x,y,z) = x + 6y + z + 1 >= z = z
4.90/2.20	  problem:
4.90/2.20	   
4.90/2.20	  Qed
4.90/2.20	ConCon could not decide whether all 13 critical pairs are joinable or not.
4.90/2.20	Overlap: (rule1: g(d, y, y) -> A, rule2: d -> m, pos: 1, mgu: {})
4.90/2.20	CP: g(m, y, y) = A
4.90/2.20	ConCon could not decide context-joinability of this critical pair.
4.90/2.20	
4.90/2.23	EOF