0.00/0.00	MAYBE
0.00/0.00	
0.00/0.00	
0.00/0.00	Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.trs".
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      +(0,x) -> x
0.00/0.00	      +(x,0) -> 0 | 0 == x
0.00/0.00	      +(x,y) -> +(y,x)
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	No "->="-rules.
0.00/0.00	
0.00/0.00	Decomposed conditions if possible.
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      +(0,x) -> x
0.00/0.00	      +(0,0) -> 0
0.00/0.00	      +(x,y) -> +(y,x)
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	Removed infeasible rules as much as possible.
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      +(0,x) -> x
0.00/0.00	      +(0,0) -> 0
0.00/0.00	      +(x,y) -> +(y,x)
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	Try to disprove confluence of the following (C)TRS:
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      +(0,x) -> x
0.00/0.00	      +(0,0) -> 0
0.00/0.00	      +(x,y) -> +(y,x)
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	Try to prove confluence of the following TRS:
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      +(0,x) -> x
0.00/0.00	      +(0,0) -> 0
0.00/0.00	      +(x,y) -> +(y,x)
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	Not othogonal.
0.00/0.00	
0.00/0.00	Try to prove termination.
0.00/0.00	
0.00/0.00	Failed to prove termination.
0.00/0.00	
0.00/0.00	Failed via the following TRS:
0.00/0.00	(VAR x y)
0.00/0.00	(RULES
0.00/0.00	  +(0,x) -> x
0.00/0.00	  +(0,0) -> 0
0.00/0.00	  +(x,y) -> +(y,x)
0.00/0.00	)
0.00/0.00	(COMMENT submitted by: Nao Hirokawa)
0.00/0.00	
0.00/0.00	MAYBE
0.00/0.00	EOF