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 x y z)
0.00/0.00	    (RULES
0.00/0.00	      gcd(z,y) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(y,z) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      iadd(y) -> tp2(0,y)
0.00/0.00	      iadd(s(z)) -> u1(iadd(z))
0.00/0.00	      u1(tp2(x,y)) -> tp2(s(x),y)
0.00/0.00	      iadd(add(x,y)) -> tp2(x,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_29 , p. 139 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 x y z)
0.00/0.00	    (RULES
0.00/0.00	      gcd(z,y) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(y,z) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      iadd(y) -> tp2(0,y)
0.00/0.00	      iadd(s(z)) -> u1(iadd(z))
0.00/0.00	      u1(tp2(x,y)) -> tp2(s(x),y)
0.00/0.00	      iadd(add(x,y)) -> tp2(x,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_29 , p. 139 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	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x y z)
0.00/0.00	    (RULES
0.00/0.00	      gcd(z,y) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(y,z) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      iadd(y) -> tp2(0,y)
0.00/0.00	      iadd(s(z)) -> u1(iadd(z))
0.00/0.00	      u1(tp2(x,y)) -> tp2(s(x),y)
0.00/0.00	      iadd(add(x,y)) -> tp2(x,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_29 , p. 139 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	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR x y z)
0.00/0.00	    (RULES
0.00/0.00	      gcd(z,y) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(y,z) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	      gcd(x,0) -> x
0.00/0.00	      gcd(0,x) -> x
0.00/0.00	      iadd(y) -> tp2(0,y)
0.00/0.00	      iadd(s(z)) -> u1(iadd(z))
0.00/0.00	      u1(tp2(x,y)) -> tp2(s(x),y)
0.00/0.00	      iadd(add(x,y)) -> tp2(x,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT [63] TRS R_29 , p. 139 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	Succeeded in disproving confluence.
0.00/0.00	
0.00/0.00	Disproved via the following (C)TRS:
0.00/0.00	(CONDITIONTYPE ORIENTED)
0.00/0.00	(VAR x y z)
0.00/0.00	(RULES
0.00/0.00	  gcd(z,y) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	  gcd(y,z) -> gcd(x,y) | iadd(z) == tp2(x,y)
0.00/0.00	  gcd(x,0) -> x
0.00/0.00	  gcd(0,x) -> x
0.00/0.00	  iadd(y) -> tp2(0,y)
0.00/0.00	  iadd(s(z)) -> u1(iadd(z))
0.00/0.00	  u1(tp2(x,y)) -> tp2(s(x),y)
0.00/0.00	  iadd(add(x,y)) -> tp2(x,y)
0.00/0.00	)
0.00/0.00	(COMMENT [63] TRS R_29 , p. 139 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