3.50/1.87	MAYBE
3.50/1.87	
3.50/1.87	Proof:
3.50/1.87	ConCon could not decide confluence of the system.
3.50/1.87	Removed infeasible rules from system R.
3.50/1.87	\cite{ALS94}, Theorem 4.1 does not apply.
3.50/1.87	This system is of type 3 or smaller.
3.50/1.87	This system is strongly deterministic.
3.50/1.87	This system is quasi-decreasing.
3.50/1.87	By \cite{O02}, p. 214, Proposition 7.2.50.
3.50/1.87	This system is of type 3 or smaller.
3.50/1.87	This system is deterministic.
3.50/1.87	System R transformed to optimized U(R).
3.50/1.87	This system is terminating.
3.62/1.87	Call external tool:
3.62/1.87	./ttt2.sh
3.62/1.87	Input:
3.62/1.87	(VAR x)
3.62/1.87	(RULES
3.62/1.87	  b -> d
3.62/1.87	  a -> d
3.62/1.87	  b -> c
3.62/1.87	  d -> k
3.62/1.87	  h(x) -> i(x, x)
3.62/1.87	  c -> e
3.62/1.87	  f(x) -> ?1(x, x)
3.62/1.87	  ?1(e, x) -> x
3.62/1.87	  a -> c
3.62/1.87	  c -> k
3.62/1.87	)
3.62/1.87	
3.62/1.87	 Polynomial Interpretation Processor:
3.62/1.87	  dimension: 1
3.62/1.87	  interpretation:
3.62/1.87	   [?1](x0, x1) = -4x0 + x1 + 6x0x0,
3.62/1.87	   
3.62/1.87	   [f](x0) = 4x0 + 6x0x0 + 1,
3.62/1.87	   
3.62/1.87	   [e] = 2,
3.62/1.87	   
3.62/1.87	   [i](x0, x1) = 2x0 + -4x1 + 7x1x1,
3.62/1.87	   
3.62/1.87	   [h](x0) = 7x0x0 + 1,
3.62/1.87	   
3.62/1.87	   [k] = 0,
3.62/1.87	   
3.62/1.87	   [c] = 4,
3.62/1.87	   
3.62/1.87	   [a] = 6,
3.62/1.87	   
3.62/1.87	   [d] = 1,
3.62/1.87	   
3.62/1.87	   [b] = 7
3.62/1.87	  orientation:
3.62/1.87	   b() = 7 >= 1 = d()
3.62/1.87	   
3.62/1.87	   a() = 6 >= 1 = d()
3.62/1.87	   
3.62/1.87	   b() = 7 >= 4 = c()
3.62/1.87	   
3.62/1.87	   d() = 1 >= 0 = k()
3.62/1.87	   
3.62/1.87	   h(x) = 7x*x + 1 >= -2x + 7x*x = i(x,x)
3.62/1.87	   
3.62/1.87	   c() = 4 >= 2 = e()
3.62/1.87	   
3.62/1.87	   f(x) = 4x + 6x*x + 1 >= -3x + 6x*x = ?1(x,x)
3.62/1.87	   
3.62/1.87	   ?1(e(),x) = x + 16 >= x = x
3.62/1.87	   
3.62/1.87	   a() = 6 >= 4 = c()
3.62/1.87	   
3.62/1.87	   c() = 4 >= 0 = k()
3.62/1.87	  problem:
3.62/1.87	   
3.62/1.87	  Qed
3.62/1.87	ConCon could not decide whether all 6 critical pairs are joinable or not.
3.62/1.87	Overlap: (rule1: c -> e, rule2: c -> k, pos: ε, mgu: {})
3.62/1.87	CP: k = e
3.62/1.87	ConCon could not decide context-joinability of this critical pair.
3.62/1.87	
3.62/1.89	EOF