3.56/1.83	MAYBE
3.56/1.83	
3.56/1.83	Proof:
3.56/1.83	ConCon could not decide confluence of the system.
3.56/1.83	Removed infeasible rules from system R.
3.56/1.83	\cite{ALS94}, Theorem 4.1 does not apply.
3.56/1.83	This system is of type 3 or smaller.
3.56/1.83	This system is strongly deterministic.
3.56/1.83	This system is quasi-decreasing.
3.56/1.83	By \cite{A14}, Theorem 11.5.9.
3.56/1.83	This system is of type 3 or smaller.
3.56/1.83	This system is deterministic.
3.56/1.83	System R transformed to V(R) + Emb.
3.56/1.83	This system is terminating.
3.56/1.83	Call external tool:
3.56/1.83	./ttt2.sh
3.56/1.83	Input:
3.56/1.83	(VAR x y)
3.56/1.83	(RULES
3.56/1.83	  a -> c
3.56/1.83	  a -> d
3.56/1.83	  b -> c
3.56/1.83	  b -> d
3.56/1.83	  c -> e
3.56/1.83	  c -> k
3.56/1.83	  d -> k
3.56/1.83	  f(x) -> x
3.56/1.83	  h(x) -> i(x, x)
3.56/1.83	  h(x) -> x
3.56/1.83	  f(x) -> x
3.56/1.83	  i(x, y) -> x
3.56/1.83	  i(x, y) -> y
3.56/1.83	)
3.56/1.83	
3.56/1.83	 Polynomial Interpretation Processor:
3.56/1.83	  dimension: 1
3.56/1.83	  interpretation:
3.56/1.83	   [i](x0, x1) = x0 + 3x1 + 4x0x0 + 2x1x1 + 4,
3.56/1.83	   
3.56/1.83	   [h](x0) = 4x0 + 7x0x0 + 5,
3.56/1.83	   
3.56/1.83	   [f](x0) = x0 + 4,
3.56/1.83	   
3.56/1.83	   [k] = 0,
3.56/1.83	   
3.56/1.83	   [e] = 0,
3.56/1.83	   
3.56/1.83	   [b] = 3,
3.56/1.83	   
3.56/1.83	   [d] = 2,
3.56/1.83	   
3.56/1.83	   [c] = 2,
3.56/1.83	   
3.56/1.83	   [a] = 4
3.56/1.83	  orientation:
3.56/1.83	   a() = 4 >= 2 = c()
3.56/1.83	   
3.56/1.83	   a() = 4 >= 2 = d()
3.56/1.83	   
3.56/1.83	   b() = 3 >= 2 = c()
3.56/1.83	   
3.56/1.83	   b() = 3 >= 2 = d()
3.56/1.83	   
3.56/1.83	   c() = 2 >= 0 = e()
3.56/1.83	   
3.56/1.83	   c() = 2 >= 0 = k()
3.56/1.83	   
3.56/1.83	   d() = 2 >= 0 = k()
3.56/1.84	   
3.56/1.84	   f(x) = x + 4 >= x = x
3.56/1.84	   
3.56/1.84	   h(x) = 4x + 7x*x + 5 >= 4x + 6x*x + 4 = i(x,x)
3.56/1.84	   
3.56/1.84	   h(x) = 4x + 7x*x + 5 >= x = x
3.56/1.84	   
3.56/1.84	   i(x,y) = x + 4x*x + 3y + 2y*y + 4 >= x = x
3.56/1.84	   
3.56/1.84	   i(x,y) = x + 4x*x + 3y + 2y*y + 4 >= y = y
3.56/1.84	  problem:
3.56/1.84	   
3.56/1.84	  Qed
3.56/1.84	ConCon could not decide whether all 6 critical pairs are joinable or not.
3.56/1.84	Overlap: (rule1: c -> e, rule2: c -> k, pos: ε, mgu: {})
3.56/1.84	CP: k = e
3.56/1.84	ConCon could not decide context-joinability of this critical pair.
3.56/1.84	
3.61/1.86	EOF