0.00/0.00	NO
0.00/0.00	
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 y x)
0.00/0.00	    (RULES
0.00/0.00	      gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	      gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      gcd(x,y) -> gcd(y,x) | leq(y,x) == false
0.00/0.00	      add(0,y) -> y
0.00/0.00	      add(s(x),y) -> s(add(x,y))
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
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 y x)
0.00/0.00	    (RULES
0.00/0.00	      gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	      gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      gcd(x,y) -> gcd(y,x) | leq(y,x) == false
0.00/0.00	      add(0,y) -> y
0.00/0.00	      add(s(x),y) -> s(add(x,y))
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Removed infeasible rules as much as possible.
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      add(0,y) -> y
0.00/0.00	      add(s(x),y) -> s(add(x,y))
0.00/0.00	      gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	      gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Try to disprove confluence of the following (C)TRS:
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      add(0,y) -> y
0.00/0.00	      add(s(x),y) -> s(add(x,y))
0.00/0.00	      gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	      gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Try to prove confluence of the following TRS:
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      add(0,y) -> y
0.00/0.00	      add(s(x),y) -> s(add(x,y))
0.00/0.00	      gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	      gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
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	Succeeded in proving termination.
0.00/0.00	
0.00/0.00	Try to prove joinability of CPs.
0.00/0.00	
0.00/0.00	Exists a CP that is not joinable.
0.00/0.00	
0.00/0.00	Disproved via the following TRS:
0.00/0.00	(VAR y x)
0.00/0.00	(RULES
0.00/0.00	  add(0,y) -> y
0.00/0.00	  add(s(x),y) -> s(add(x,y))
0.00/0.00	  gcd(add(x,y),y) -> gcd(x,y)
0.00/0.00	  gcd(y,add(x,y)) -> gcd(x,y)
0.00/0.00	  gcd(x,0) -> x
0.00/0.00	  gcd(0,x) -> x
0.00/0.00	)
0.00/0.00	(COMMENT [63] TRS R_27 , p. 138 http://www.sakabe.nuie.nagoya-u.ac.jp/~nishida/DB/pdf/nishida04phdthesis.pdf submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	NO
0.00/0.00	EOF