0.00/0.00	YES
0.00/0.00	
0.00/0.00	Succeeded in reading "/export/starexec/sandbox2/benchmark/theBenchmark.trs".
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x x1)
0.00/0.00	    (RULES
0.00/0.00	      e(0) -> true
0.00/0.00	      e(s(x)) -> true | o(x) == true
0.00/0.00	      e(s(x)) -> false | e(x) == true
0.00/0.00	      o(0) -> false
0.00/0.00	      o(s(x)) -> true | e(x) == true
0.00/0.00	      o(s(x)) -> false | o(x) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT COPS 522)
0.00/0.00	    (COMMENT submitted by: Naoki Nishida)
0.00/0.00	
0.00/0.00	No "->="-rules.
0.00/0.00	
0.00/0.00	Decomposed conditions and removed infeasible rules if possible.
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x x1)
0.00/0.00	    (RULES
0.00/0.00	      e(0) -> true
0.00/0.00	      e(s(x)) -> true | o(x) == true
0.00/0.00	      e(s(x)) -> false | e(x) == true
0.00/0.00	      o(0) -> false
0.00/0.00	      o(s(x)) -> true | e(x) == true
0.00/0.00	      o(s(x)) -> false | o(x) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT COPS 522)
0.00/0.00	    (COMMENT submitted by: Naoki Nishida)
0.00/0.00	
0.00/0.00	(VAR x1)
0.00/0.00	(CONDITION 
0.00/0.00	e(x1) == true, o(x1) == true
0.00/0.00	)
0.00/0.00	
0.00/0.00	Optimized the infeasibility problem if possible.
0.00/0.00	
0.00/0.00	(VAR x1)
0.00/0.00	(CONDITION 
0.00/0.00	e(x1) == true, o(x1) == true
0.00/0.00	)
0.00/0.00	
0.00/0.00	This is ultra-RL and deterministic.
0.00/0.00	
0.00/0.00	This is operationally terminating and confluent.
0.00/0.00	
0.00/0.00	(RTG_of_NARROWINGTREE
0.00/0.00	(START
0.00/0.00	  Gamma[e(x1) == true : { e, 1 } & o(x1) == true : { e, 1 }]
0.00/0.00	)
0.00/0.00	(NONTERMINALS
0.00/0.00	  Gamma[e(x1) == true : { e, 1 } & o(x1) == true : { e, 1 }]
0.00/0.00	  Gamma[e(x351) == true : { e, 1 }]
0.00/0.00	  Gamma[o(x356) == true : { e, 1 }]
0.00/0.00	)
0.00/0.00	(RULES
0.00/0.00	  Gamma[e(x1) == true : { e, 1 } & o(x1) == true : { e, 1 }] -> EmptySet
0.00/0.00	  Gamma[e(x351) == true : { e, 1 }] -> { x351 -> 0 }
0.00/0.00	  Gamma[e(x351) == true : { e, 1 }] -> (Rec(Gamma[o(x356) == true : { e, 1 }], { x357 -> x356 }) . { x351 -> s(x357) })
0.00/0.00	  Gamma[o(x356) == true : { e, 1 }] -> (Rec(Gamma[e(x351) == true : { e, 1 }], { x375 -> x351 }) . { x356 -> s(x375) })
0.00/0.00	)
0.00/0.00	)
0.00/0.00	
0.00/0.00	YES
0.00/0.01	EOF