2.94/1.35	YES
2.94/1.35	
2.94/1.35	Proof:
2.94/1.35	This system is confluent.
2.94/1.35	By \cite{ALS94}, Theorem 4.1.
2.94/1.35	This system is of type 3 or smaller.
2.94/1.35	This system is strongly deterministic.
2.94/1.35	This system is quasi-decreasing.
2.94/1.35	By \cite{O02}, p. 214, Proposition 7.2.50.
2.94/1.35	This system is of type 3 or smaller.
2.94/1.35	This system is deterministic.
2.94/1.35	System R transformed to optimized U(R).
2.94/1.35	This system is terminating.
2.94/1.35	Call external tool:
2.94/1.35	./ttt2.sh
2.94/1.35	Input:
2.94/1.35	  not(x) -> ?1(x, x)
2.94/1.35	  ?1(true, x) -> false
2.94/1.35	  not(x) -> ?1(x, x)
2.94/1.35	  ?1(false, x) -> true
2.94/1.35	
2.94/1.35	 Polynomial Interpretation Processor:
2.94/1.35	  dimension: 1
2.94/1.35	  interpretation:
2.94/1.35	   [false] = 4,
2.94/1.35	   
2.94/1.35	   [true] = 5,
2.94/1.35	   
2.94/1.35	   [?1](x0, x1) = -3x0 + 4x0x0 + 3x1x1,
2.94/1.35	   
2.94/1.35	   [not](x0) = 7x0x0 + 1
2.94/1.35	  orientation:
2.94/1.35	   not(x) = 7x*x + 1 >= -3x + 7x*x = ?1(x,x)
2.94/1.35	   
2.94/1.35	   ?1(true(),x) = 3x*x + 85 >= 4 = false()
2.94/1.35	   
2.94/1.35	   ?1(false(),x) = 3x*x + 52 >= 5 = true()
2.94/1.35	  problem:
2.94/1.35	   
2.94/1.35	  Qed
2.94/1.35	All 2 critical pairs are joinable.
2.94/1.35	Overlap: (rule1: not(y) -> true <= y = false, rule2: not(z) -> false <= z = true, pos: ε, mgu: {(z,y)})
2.94/1.35	CP: false = true <= y = false, y = true
2.94/1.35	This critical pair is unfeasible.
2.94/1.35	Overlap: (rule1: not(y) -> false <= y = true, rule2: not(z) -> true <= z = false, pos: ε, mgu: {(z,y)})
2.94/1.35	CP: true = false <= y = true, y = false
2.94/1.35	This critical pair is unfeasible.
2.94/1.35	
3.00/1.38	EOF