3.96/1.90	YES
3.96/1.90	
3.96/1.90	Proof:
3.96/1.90	This system is confluent.
3.96/1.90	By \cite{ALS94}, Theorem 4.1.
3.96/1.90	This system is of type 3 or smaller.
3.96/1.90	This system is strongly deterministic.
3.96/1.90	This system is quasi-decreasing.
3.96/1.90	By \cite{A14}, Theorem 11.5.9.
3.96/1.90	This system is of type 3 or smaller.
3.96/1.90	This system is deterministic.
3.96/1.90	System R transformed to V(R) + Emb.
3.96/1.90	This system is terminating.
3.96/1.90	Call external tool:
3.96/1.90	./ttt2.sh
3.96/1.90	Input:
3.96/1.90	(VAR x)
3.96/1.90	(RULES
3.96/1.90	  not(x) -> false
3.96/1.90	  not(x) -> x
3.96/1.90	  not(x) -> true
3.96/1.90	  not(x) -> x
3.96/1.90	)
3.96/1.90	
3.96/1.90	 Polynomial Interpretation Processor:
3.96/1.90	  dimension: 1
3.96/1.90	  interpretation:
3.96/1.90	   [true] = 0,
3.96/1.90	   
3.96/1.90	   [false] = 0,
3.96/1.90	   
3.96/1.90	   [not](x0) = 4x0 + 1
3.96/1.90	  orientation:
3.96/1.90	   not(x) = 4x + 1 >= 0 = false()
3.96/1.90	   
3.96/1.91	   not(x) = 4x + 1 >= x = x
3.96/1.91	   
3.96/1.91	   not(x) = 4x + 1 >= 0 = true()
3.96/1.91	  problem:
3.96/1.91	   
3.96/1.91	  Qed
3.96/1.91	All 2 critical pairs are joinable.
3.96/1.91	Overlap: (rule1: not(y) -> true <= y = false, rule2: not(z) -> false <= z = true, pos: ε, mgu: {(y,z)})
3.96/1.91	CP: false = true <= z = false, z = true
3.96/1.91	This critical pair is unfeasible.
3.96/1.91	Overlap: (rule1: not(y) -> false <= y = true, rule2: not(z) -> true <= z = false, pos: ε, mgu: {(y,z)})
3.96/1.91	CP: true = false <= z = true, z = false
3.96/1.91	This critical pair is unfeasible.
3.96/1.91	
3.96/1.94	EOF